From d4aea429186ed26a29e226d38032a3cc30c5e8aa Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 22 Jun 2020 09:16:08 +0530 Subject: [PATCH 001/106] Added viscoelasticity material model --- examples/ex5/materials.dat | 1 + include/FemTech.h | 1 + src/fem/SolidMechanics/StressUpdate.cpp | 3 ++ src/io/input/ReadMaterials.cpp | 15 ++++++ src/materials/CMakeLists.txt | 1 + src/materials/Viscoelastic.cpp | 69 +++++++++++++++++++++++++ 6 files changed, 90 insertions(+) create mode 100644 src/materials/Viscoelastic.cpp diff --git a/examples/ex5/materials.dat b/examples/ex5/materials.dat index 5bd72434..880a8e98 100644 --- a/examples/ex5/materials.dat +++ b/examples/ex5/materials.dat @@ -21,3 +21,4 @@ # mat ID 4 - HGO Isotropic : density mu lambda k1 k2 # mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 lambda k1 k2 g1 t1 g2 t2 # g1 t1 and g2 t2 are pairs of 2 term Prony series +# mat ID 6 - Viscoelastic : density(Kg/m^3) K(Pa) G_0(Pa) G_\infity(Pa) \beta(1/s) diff --git a/include/FemTech.h b/include/FemTech.h index 3056c64f..a045d159 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -75,6 +75,7 @@ void CompressibleNeoHookean(int e, int gp); void LinearElastic(int e, int gp); void HGOIsotropic(int e, int gp); void HGOIsotropicViscoelastic(int e, int gp); +void Viscoelastic(int e, int gp); void inverse3x3Matrix(double* mat, double* invMat, double* det); //void MultiplyMatrices(double* a, double* b, int sizeM, double* result); diff --git a/src/fem/SolidMechanics/StressUpdate.cpp b/src/fem/SolidMechanics/StressUpdate.cpp index 7dad85e9..8044066b 100644 --- a/src/fem/SolidMechanics/StressUpdate.cpp +++ b/src/fem/SolidMechanics/StressUpdate.cpp @@ -22,6 +22,9 @@ void StressUpdate(int e, int gp){ case 5 : // HGO with isotropic fiber distribution and viscoelasticity HGOIsotropicViscoelastic(e, gp); break; + case 6 : // Viscoelastic material + Viscoelastic(e, gp); + break; default : FILE_LOG_SINGLE(ERROR, "Unknown material type"); TerminateFemTech(1); } diff --git a/src/io/input/ReadMaterials.cpp b/src/io/input/ReadMaterials.cpp index 7513bb6e..55bb95d3 100644 --- a/src/io/input/ReadMaterials.cpp +++ b/src/io/input/ReadMaterials.cpp @@ -120,6 +120,21 @@ void ReadMaterials() { // properties[index + 5], properties[index + 6], properties[index + 7], // properties[index + 8]); break; + case 6 :// Viscoelastic material + // properties[0] = density + // properties[1] = K + // properties[2] = G_0 + // properties[3] = G_\infity + // properties[4] = \beta + count = fscanf(File, "%lf %lf %lf %lf %lf", &properties[index + 0], + &properties[index + 1], &properties[index + 2], + &properties[index + 3], &properties[index + 4]); + assert(count == 5); + // FILE_LOG_SINGLE(DEBUGLOG, "Part %d Viscoelastic properties (rho, K, G_0, G_infinity, beta) = " + // "%3.3f %3.3f %3.3f %3.3f %3.3f\n", + // partID, properties[index + 0], properties[index + 1], + // properties[index + 2], properties[index + 3], properties[index + 4]); + break; default :FILE_LOG_SINGLE(ERROR, "Material ID for Part %d not found", partID); TerminateFemTech(3); } diff --git a/src/materials/CMakeLists.txt b/src/materials/CMakeLists.txt index e1441361..f318e903 100644 --- a/src/materials/CMakeLists.txt +++ b/src/materials/CMakeLists.txt @@ -5,6 +5,7 @@ Set(materials_src LinearElastic.cpp HGOIsotropic.cpp HGOIsotropicViscoelastic.cpp + Viscoelastic.cpp ) add_library(materials OBJECT ${materials_src}) diff --git a/src/materials/Viscoelastic.cpp b/src/materials/Viscoelastic.cpp new file mode 100644 index 00000000..e9ea8d03 --- /dev/null +++ b/src/materials/Viscoelastic.cpp @@ -0,0 +1,69 @@ +#include "FemTech.h" +#include "blas.h" + +#include +// Viscoelastic material +// Evaluates the PK2 stress tensor + +void Viscoelastic(int e, int gp) { + if (ndim == 2) { + // 6 values saved per gauss point for 3d + for (int i = 0; i < 3; i++) { + int index = pk2ptr[e] + 3 * gp + i; + } + } + if (ndim == 3) { + const int index = fptr[e] + ndim * ndim * gp; + const int pide = pid[e]; + const double K = properties[MAXMATPARAMS * pide + 1]; + const double G0 = properties[MAXMATPARAMS * pide + 2]; + const double Ginf = properties[MAXMATPARAMS * pide + 3]; + const double beta = properties[MAXMATPARAMS * pide + 4]; + + const double mu = Ginf + (G0-Ginf)*exp(-beta*Time); + const double lambda = K - 2.0*mu/3.0; + + // Compute Green-Lagrange Tensor: E= (1/2)*(F^T*F - I) + double matSize = ndim * ndim; + double *E = mat1; + double *F_element_gp = &(F[index]); + double half = 0.5; + dgemm_(chy, chn, &ndim, &ndim, &ndim, &half, F_element_gp, &ndim, + F_element_gp, &ndim, &zero, E, &ndim); + E[0] -= half; + E[4] -= half; + E[8] -= half; + + // Compute 2nd Piola-Kirchhoff Stress + // S = lambda*tr(E)*I+2*mu*E + double traceE = E[0] + E[4] + E[8]; + double *S = mat2; + for (int i = 0; i < matSize; ++i) { + S[i] = 2.0 * mu * E[i]; + } + S[0] += lambda * traceE; + S[4] += lambda * traceE; + S[8] += lambda * traceE; + + // 6 values saved per gauss point for 3d + // in voigt notation, sigma11 + pk2[pk2ptr[e] + 6 * gp + 0] = S[0]; + // in voigt notation, sigma22 + pk2[pk2ptr[e] + 6 * gp + 1] = S[4]; + // in voigt notation, sigma33 + pk2[pk2ptr[e] + 6 * gp + 2] = S[8]; + // in voigt notation, sigma23 + pk2[pk2ptr[e] + 6 * gp + 3] = S[7]; + // in voigt notation, sigma13 + pk2[pk2ptr[e] + 6 * gp + 4] = S[6]; + // in voigt notation, sigma12 + pk2[pk2ptr[e] + 6 * gp + 5] = S[3]; + + FILE_LOGArraySingle(DEBUGLOGIGNORE, &(pk2[pk2ptr[e]+6*gp]), 6, \ + "Element : %d, GP : %d Stress values", e, gp); + FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, F_element_gp, ndim, ndim, "Printing F Matrix"); + FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, E, ndim, ndim, "Printing E Matrix"); + FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, S, ndim, ndim, "Printing S Matrix"); + } // if ndim == 3 + return; +} From 65f947efe8ef2b8f098f0815977d49b69c28948f Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 23 Jun 2020 06:43:05 +0530 Subject: [PATCH 002/106] HGO viscoelastic model takes n (n <= 6) term Prony series instead of 2 --- examples/ex18/materials.dat | 24 ++++----- examples/ex5/materials.dat | 23 ++++----- include/GlobalVariables.h | 8 +-- src/fem/ShapeFunctions/ShapeFunctions.cpp | 45 ++++++++++++++--- src/fem/Solver/UnsteadyNewmarkImplicit.cpp | 12 ++--- src/io/input/ReadMaterials.cpp | 32 +++++++----- src/io/output/FreeArrays.cpp | 8 +-- src/materials/HGOIsotropicViscoelastic.cpp | 57 +++++++++++----------- 8 files changed, 126 insertions(+), 83 deletions(-) diff --git a/examples/ex18/materials.dat b/examples/ex18/materials.dat index 5bd72434..96c837b8 100644 --- a/examples/ex18/materials.dat +++ b/examples/ex18/materials.dat @@ -1,13 +1,13 @@ 0 0 1500 -1 5 1000 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -2 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -3 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -4 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -5 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -6 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -7 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -8 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -9 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 +1 5 1000 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +2 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +3 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +4 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +5 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +6 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +7 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +8 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +9 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 # form of file @@ -19,5 +19,7 @@ # mat ID 2 - St. Venant props : density mu lambda # mat ID 3 - Linear Elasticity : density mu lambda # mat ID 4 - HGO Isotropic : density mu lambda k1 k2 -# mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 lambda k1 k2 g1 t1 g2 t2 -# g1 t1 and g2 t2 are pairs of 2 term Prony series +# mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 K k1 k2 n g1 t1 g2 +# t2 .... gn tn +# gi's ti's are pairs of n term Prony series +# mat ID 6 - Viscoelastic : density(Kg/m^3) K(Pa) G_0(Pa) G_\infity(Pa) \beta(1/s) diff --git a/examples/ex5/materials.dat b/examples/ex5/materials.dat index 880a8e98..96c837b8 100644 --- a/examples/ex5/materials.dat +++ b/examples/ex5/materials.dat @@ -1,13 +1,13 @@ 0 0 1500 -1 5 1000 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -2 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -3 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -4 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -5 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -6 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -7 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -8 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 -9 5 1100 2673.23 2.189982178466e8 25459 0 0.6521 0.0129 0.0067 0.0747 +1 5 1000 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +2 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +3 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +4 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +5 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +6 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +7 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +8 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +9 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 # form of file @@ -19,6 +19,7 @@ # mat ID 2 - St. Venant props : density mu lambda # mat ID 3 - Linear Elasticity : density mu lambda # mat ID 4 - HGO Isotropic : density mu lambda k1 k2 -# mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 lambda k1 k2 g1 t1 g2 t2 -# g1 t1 and g2 t2 are pairs of 2 term Prony series +# mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 K k1 k2 n g1 t1 g2 +# t2 .... gn tn +# gi's ti's are pairs of n term Prony series # mat ID 6 - Viscoelastic : density(Kg/m^3) K(Pa) G_0(Pa) G_\infity(Pa) \beta(1/s) diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index 692348a5..8d38f7d9 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -1,9 +1,9 @@ #include #include -/* Currently HGO Isotropic model uses 5 properties + 4 properties for +/* Currently HGO Isotropic model uses 5 properties + 13 properties for * viscoelastic properties*/ -static int MAXMATPARAMS = 9; /* maximum number of material parameters stored for each element */ +static int MAXMATPARAMS = 18; /* maximum number of material parameters stored for each element */ static int MAXINTERNALVARS = 5; /* max internal variables per gauss point */ static int MAXPLOTSTEPS = 1000; /* maximum plot output steps */ /* Weights for parmetis generated by running Benchmark in the order of material @@ -123,5 +123,7 @@ extern double* mat4; extern double *fintGQ; extern double *B; // Variables to store stress history in viscoelastic materials -extern double *Hn_1, *Hn_2; +extern double **Hn; extern double* S0n; +extern int *fptrViscous; +extern int nMax; diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index ebe12cc8..6361bdbd 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -11,6 +11,7 @@ int *GaussPoints; double *shp; double *dshp; //pointer for deriviatives of shp functions int *fptr; //pointer for incrementing through deformation gradient, F, detF, InvF, b, E +int *fptrViscous; int *nShapeFunctions; double *F; // deformation gradient array, F double *detF; // inverse of deformation gradient array @@ -27,9 +28,19 @@ double *gaussWeights; double *fintGQ; double *B; -double *Hn_1, *Hn_2, *S0n; +double **Hn, *S0n; +int nMax = 0; // To store maximum number of terms in viscous Prony Series void ShapeFunctions() { + for (int i = 0; i < nPIDglobal; ++i) { + if (materialID[i] == 5) { + int n = properties[MAXMATPARAMS*i+5]; + if (n > nMax) { + nMax = n; + } + } + } + // Global Array - keeps track of how many gauss points there are // per element. GaussPoints = (int *)malloc(nelements * sizeof(int)); @@ -52,6 +63,7 @@ void ShapeFunctions() { pk2ptr = (int *)malloc((nelements+1) * sizeof(int)); detFptr = (int *)malloc((nelements+1) * sizeof(int)); InternalsPtr = (int *)malloc((nelements+1) * sizeof(int)); + fptrViscous = (int *)malloc((nelements+1) * sizeof(int)); int counter = 0; //counter for storage of shp nShapeFunctions int dshp_counter = 0; // counter for deriviatives of shp function @@ -61,14 +73,22 @@ void ShapeFunctions() { int detF_counter = 0; // counter for storage of detF for each element. int internals_counter = 0; //counter for storage of internals for each gauss point. + int F_counterViscous = 0; //counter for storage of Viscous history terms + gptr[0] = 0; dsptr[0] = 0; gpPtr[0] = 0; fptr[0]=0; pk2ptr[0]=0; detFptr[0]=0; + fptrViscous[0]=0; for (int i = 0; i < nelements; i++) { + bool viscousElement = false; + if (materialID[pid[i]] == 5) { + viscousElement = true; + } + // Check if element is viscous if (strcmp(ElementType[i], "C3D8") == 0) { //GuassPoints per element gpCount = 8; @@ -98,6 +118,9 @@ void ShapeFunctions() { // we need a way to reference F as well (An fptr). Note F is not symmetric. // Also this counter will be used (as well as fptr) for detF, InvF, b and E. F_counter += 72; + if (viscousElement) { + F_counterViscous += 72; + } //the next counter is for the PK2 stress array //there is a PK2 stress tensor stored at each gauss point @@ -131,6 +154,9 @@ void ShapeFunctions() { counter += 4; dshp_counter += 12; F_counter += 9; + if (viscousElement) { + F_counterViscous += 9; + } pk2_counter += 6; // six positions for 3D, it is symmetric detF_counter +=1; internals_counter += MAXINTERNALVARS * GaussPoints[i]; @@ -150,6 +176,9 @@ void ShapeFunctions() { counter += nShapeFunctions[i]*gpCount; dshp_counter += (ndim * nShapeFunctions[i] * gpCount); F_counter += (ndim*ndim*gpCount); + if (viscousElement) { + F_counterViscous += (ndim*ndim*gpCount); + } pk2_counter += 6; // six positions for 3D, it is symmetric detF_counter += gpCount; // detF stored only at gauss point internals_counter += MAXINTERNALVARS * GaussPoints[i]; @@ -162,6 +191,7 @@ void ShapeFunctions() { pk2ptr[i+1] = pk2_counter; detFptr[i+1] = detF_counter; InternalsPtr[i+1]=internals_counter; + fptrViscous[i+1] = F_counterViscous; } // loop on i, nelements @@ -242,13 +272,12 @@ void ShapeFunctions() { B = (double*)malloc(Bsize*sizeof(double)); // Allocate arrays specific to viscoelastic material // Check if viscoelastic material is used - for (int i = 0; i < nPIDglobal; ++i) { - if (materialID[i] == 5) { - // Allocated and set to zero for first time step - Hn_1 = (double *)calloc(F_counter, sizeof(double)); - Hn_2 = (double *)calloc(F_counter, sizeof(double)); - S0n = (double *)calloc(F_counter, sizeof(double)); - break; + if (nMax) { + // FILE_LOG(WARNING, "Maximum prony series size = %d", nMax); + Hn = (double**)malloc(nMax*sizeof(double)); + S0n = (double *)calloc(F_counterViscous, sizeof(double)); + for (unsigned int i = 0; i < nMax; ++i) { + Hn[i] = (double*)calloc(F_counterViscous, sizeof(double)); } } return; diff --git a/src/fem/Solver/UnsteadyNewmarkImplicit.cpp b/src/fem/Solver/UnsteadyNewmarkImplicit.cpp index 27187416..58a2b6ce 100644 --- a/src/fem/Solver/UnsteadyNewmarkImplicit.cpp +++ b/src/fem/Solver/UnsteadyNewmarkImplicit.cpp @@ -2,7 +2,7 @@ #include "blas.h" void ModifyMassAndStiffnessMatrix(); -void ComputeUnsteadyRHS(const int n, const int nMax, double* displacementFinal, \ +void ComputeUnsteadyRHS(const int n, const int nMaxT, double* displacementFinal, \ const double a, const double b, const double c); void SolveUnsteadyNewmarkImplicit(double beta, double gamma, double deltaT, \ @@ -16,7 +16,7 @@ void SolveUnsteadyNewmarkImplicit(double beta, double gamma, double deltaT, \ double *accelerationsOld = (double*)malloc(nDOF*sizeof(double)); double *displacementsOld = (double*)malloc(nDOF*sizeof(double)); - int nMax = (int)((timeFinal+1e-7)/deltaT); + int nMaxT = (int)((timeFinal+1e-7)/deltaT); // Precompute multipliers const double a = 1.0/(beta*deltaT*deltaT); @@ -41,13 +41,13 @@ void SolveUnsteadyNewmarkImplicit(double beta, double gamma, double deltaT, \ FILE_LOG_SINGLE(ERROR, "LU Decomposition and solution failed with info code %d", info); } - for (int n = 1; n < nMax+1; ++n) { + for (int n = 1; n < nMaxT+1; ++n) { Time = n*deltaT; FILE_LOG_MASTER(INFO, "Time : %15.9e", Time); // Compute the RHS for the current time step memcpy(accelerationsOld, accelerations, nDOF*sizeof(double)); memcpy(displacementsOld, displacements, nDOF*sizeof(double)); - ComputeUnsteadyRHS(n, nMax, displacementFinal, a, b, c); + ComputeUnsteadyRHS(n, nMaxT, displacementFinal, a, b, c); dgetrs_(chn, &matSize, &oneI, stiffness, &matSize, pivot, rhs, &matSize, &info); if (info) { @@ -182,7 +182,7 @@ void ModifyMassAndStiffnessMatrix() { return; } -void ComputeUnsteadyRHS(const int n, const int nMax, double* displacementFinal, \ +void ComputeUnsteadyRHS(const int n, const int nMaxT, double* displacementFinal, \ const double a, const double b, const double c) { int nRHS = nDOF-nSpecifiedDispBC; // Set rhs to zero @@ -199,7 +199,7 @@ void ComputeUnsteadyRHS(const int n, const int nMax, double* displacementFinal, // Set displacement at specified dofs from bc for (int i = 0; i < nDOF; ++i) { if(boundary[i] == 1) { - displacements[i] = ((double)n/(double)nMax)*displacementFinal[i]; + displacements[i] = ((double)n/(double)nMaxT)*displacementFinal[i]; } } // Include effect of eliminated columns diff --git a/src/io/input/ReadMaterials.cpp b/src/io/input/ReadMaterials.cpp index 55bb95d3..72c2a9ee 100644 --- a/src/io/input/ReadMaterials.cpp +++ b/src/io/input/ReadMaterials.cpp @@ -100,25 +100,31 @@ void ReadMaterials() { case 5 :// HGO with isotropic fiber distribution with 2 term Prony series for viscoelastic properties // properties[0] = density // properties[1] = mu - // properties[2] = lambda + // properties[2] = K // properties[3] = k1 // properties[4] = k2 - // properties[5] = g1 - // properties[6] = t1 - // properties[7] = g2 - // properties[8] = t2 - count = fscanf(File, "%lf %lf %lf %lf %lf %lf %lf %lf %lf", &properties[index + 0], + // properties[5] = n + // properties[6+i] = gi + // properties[7+i] = ti + count = fscanf(File, "%lf %lf %lf %lf %lf %lf", &properties[index + 0], &properties[index + 1], &properties[index + 2], &properties[index + 3], &properties[index + 4], - &properties[index + 5], &properties[index + 6], - &properties[index + 7], &properties[index + 8]); - assert(count == 9); - // FILE_LOG_SINGLE(DEBUGLOG, "Part %d HGO properties (rho, mu, lambda, k1, k2) = " - // "%3.3f %3.3f %3.3f %3.3f %3.3f\n", + &properties[index + 5]); + assert(count == 6); + if (int(properties[index+5]) > 6) { + FILE_LOG_SINGLE(ERROR, "Material ID 5, n = %d > 6", int(properties[index+5])); + TerminateFemTech(3); + } + for (int j = 0; j < properties[index+5]; ++j) { + count = fscanf(File, "%lf %lf", &properties[index + 6 + j], + &properties[index + 7 + j]); + assert(count == 2); + } + // FILE_LOG_SINGLE(WARNING, "Part %d HGO properties (rho, mu, K, k1, k2, n) = " + // "%3.3f %3.3f %3.3f %3.3f %3.3f %3.3f\n", // partID, properties[index + 0], properties[index + 1], // properties[index + 2], properties[index + 3], properties[index + 4], - // properties[index + 5], properties[index + 6], properties[index + 7], - // properties[index + 8]); + // properties[index + 5]); break; case 6 :// Viscoelastic material // properties[0] = density diff --git a/src/io/output/FreeArrays.cpp b/src/io/output/FreeArrays.cpp index c4094d6c..235b7db7 100644 --- a/src/io/output/FreeArrays.cpp +++ b/src/io/output/FreeArrays.cpp @@ -65,11 +65,13 @@ void FreeArrays() { free1DArray(fintGQ); free1DArray(B); // Viscoelastic materials - free1DArray(Hn_1); - free1DArray(Hn_2); + for (unsigned int i = 0; i < nMax; ++i) { + free1DArray(Hn[i]); + } + free1DArray(Hn); free1DArray(S0n); - if (ElementType != NULL){ + if (ElementType != NULL) { for (int i = 0; i < nelements; i++){ free(ElementType[i]); } diff --git a/src/materials/HGOIsotropicViscoelastic.cpp b/src/materials/HGOIsotropicViscoelastic.cpp index 0c8103bd..afc51999 100644 --- a/src/materials/HGOIsotropicViscoelastic.cpp +++ b/src/materials/HGOIsotropicViscoelastic.cpp @@ -13,13 +13,12 @@ * material properties of the element. Expected material properties : * \rho = properties(0) * \mu = properties(1) - * \lambda = properties(2) + * K = properties(2) * k_1 = properties(3) * k_2 = properties(4) - * g_1 = properties(5) - * t_1 = properties(6) - * g_2 = properties(7) - * t_2 = properties(8) + * n = properties(5) + * g_i = properties(5+i) + * t_i = properties(6+i) * Implementation follows : Kaliske, M. and Rothert, H., 1997. Formulation and * implementation of three-dimensional viscoelasticity at small and finite * strains. Computational Mechanics, 19(3), pp.228-239. */ @@ -33,6 +32,7 @@ void HGOIsotropicViscoelastic(int e, int gp) { // Pointer to start of deformation gradient matrix for given element number // and Gauss point const int index = fptr[e] + ndim * ndim * gp; + const int indexViscous = fptrViscous[e] + ndim * ndim * gp; double J = detF[detFptr[e] + gp]; // Get material property ID to read material properties const int pideIndex = pid[e]*MAXMATPARAMS; @@ -40,18 +40,20 @@ void HGOIsotropicViscoelastic(int e, int gp) { const double* localProperties = &(properties[pideIndex]); // Read material properties const double mu = localProperties[1]; - const double lambda = localProperties[2]; + const double K = localProperties[2]; const double k1 = localProperties[3]; const double k2 = localProperties[4]; // Kappa = 1/3 for isotropic fiber distribution const double kappa = 1.0/3.0; - const double g1 = localProperties[5]; - const double t1 = localProperties[6]; - const double g2 = localProperties[7]; - const double t2 = localProperties[8]; + const int n = int(localProperties[5]); // No of terms in prony series + double *gi, *ti; + gi = (double*)malloc(n*sizeof(double)); + ti = (double*)malloc(n*sizeof(double)); + for (unsigned int i = 0; i < n; ++i) { + gi[i] = localProperties[6+i]; + ti[i] = localProperties[7+i]; + } - // Compute the bulk modulus from \lambda and \mu - const double K = lambda + 2.0*mu/3.0; double * const F_element_gp = &(F[index]); // Compute the hydrostatic diagonal contribution to cauchy stress tensor const double hydroDiag = 0.5*K*(J*J-1.0)/J; @@ -119,22 +121,19 @@ void HGOIsotropicViscoelastic(int e, int gp) { Sdev[i] = S[i]-Sic[i]; } // Access histroy dependence - double *Hn_1Local = &(Hn_1[index]); - double *Hn_2Local = &(Hn_2[index]); - double *S0nLocal = &(S0n[index]); - // Compute c1i = exp(-dt/t_i) and C2i = g_i (1-exp(-dt/t_i))/(dt/t_i) - const double rt1 = dt/t1; - const double rt2 = dt/t2; - const double c11 = exp(-rt1); - const double c12 = exp(-rt2); - const double c21 = g1*(1-c11)/rt1; - const double c22 = g2*(1-c12)/rt2; - // Update H_j^{n+1} = c1j*H_j^n + c2j*[Dev S_0^{n+1} - S_0^n] - // Update S^{n+1} = S_0^{n+1} + \sum_j H_j^{n+1} - for (int i = 0; i < matSize; ++i) { - Hn_1Local[i] = c11*Hn_1Local[i]+c21*(Sdev[i]-S0nLocal[i]); - Hn_2Local[i] = c12*Hn_2Local[i]+c22*(Sdev[i]-S0nLocal[i]); - S[i] = S[i] + Hn_1Local[i] + Hn_2Local[i]; + double *S0nLocal = &(S0n[indexViscous]); + for (unsigned int i = 0; i < n; ++i) { + double *HnLocal = &(Hn[i][indexViscous]); + // Compute C1i = exp(-dt/t_i) and C2i = g_i (1-exp(-dt/t_i))/(dt/t_i) + const double rt = dt/ti[i]; + const double c1i = exp(-rt); + const double c2i = gi[i]*(1-c1i)/rt; + // Update H_j^{n+1} = c1j*H_j^n + c2j*[Dev S_0^{n+1} - S_0^n] + // Update S^{n+1} = S_0^{n+1} + \sum_j H_j^{n+1} + for (int j = 0; j < matSize; ++j) { + HnLocal[j] = c1i*HnLocal[j]+c2i*(Sdev[j]-S0nLocal[j]); + S[j] = S[j] + HnLocal[j]; + } } // Get location of array to store PK2 values @@ -157,6 +156,8 @@ void HGOIsotropicViscoelastic(int e, int gp) { for (int i = 0; i < matSize; ++i) { S0nLocal[i] = Sdev[i]; } + free(gi); + free(ti); #ifdef DEBUG FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); From ba5bed1b08e8523f75aca2240b97b9aeecdd65e4 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 6 Jul 2020 02:18:06 +0530 Subject: [PATCH 003/106] Validation with traction bc --- examples/CMakeLists.txt | 5 + examples/ex19/2elements.inp | 156 ++++++ examples/ex19/CMakeLists.txt | 30 ++ examples/ex19/README.md | 9 + examples/ex19/abaqus/elasticDisplacements.rpt | 29 + .../ex19/abaqus/viscoElasticDisplacements.rpt | 509 ++++++++++++++++++ examples/ex19/compareResults.py | 29 + examples/ex19/ex19.cpp | 252 +++++++++ examples/ex19/gnuplot.script | 54 ++ examples/ex19/gnuplotEnergy.script | 64 +++ examples/ex19/materials.dat | 9 + examples/ex19/template.vcxproj.user.in | 8 + src/io/output/FreeArrays.cpp | 1 + 13 files changed, 1155 insertions(+) create mode 100644 examples/ex19/2elements.inp create mode 100644 examples/ex19/CMakeLists.txt create mode 100644 examples/ex19/README.md create mode 100644 examples/ex19/abaqus/elasticDisplacements.rpt create mode 100644 examples/ex19/abaqus/viscoElasticDisplacements.rpt create mode 100644 examples/ex19/compareResults.py create mode 100644 examples/ex19/ex19.cpp create mode 100644 examples/ex19/gnuplot.script create mode 100644 examples/ex19/gnuplotEnergy.script create mode 100644 examples/ex19/materials.dat create mode 100644 examples/ex19/template.vcxproj.user.in diff --git a/examples/CMakeLists.txt b/examples/CMakeLists.txt index 15c0c3fa..6e2ad41a 100644 --- a/examples/CMakeLists.txt +++ b/examples/CMakeLists.txt @@ -16,6 +16,7 @@ option (EXAMPLE15 "3D course brain model - lsdyna k format based off of simon m option (EXAMPLE16 "6-elements per direction hex model - abaqus inp format" OFF) option (EXAMPLE17 "Plate Impact problem of Valerie Martin - abaqus inp format" OFF) option (EXAMPLE18 "Full Brain model validation" OFF) +option (EXAMPLE19 "3D hex elelemnt tension test" OFF) option (Benchmarking-Parallel "Parallel-Benchmarks" OFF) if (EXAMPLE1) @@ -92,6 +93,10 @@ if (EXAMPLE18) add_subdirectory(ex18) endif (EXAMPLE18) +if (EXAMPLE19) + add_subdirectory(ex19) +endif (EXAMPLE19) + if (Benchmarking-Parallel) add_subdirectory(Benchmarking-Parallel) endif (Benchmarking-Parallel) diff --git a/examples/ex19/2elements.inp b/examples/ex19/2elements.inp new file mode 100644 index 00000000..7b7f1410 --- /dev/null +++ b/examples/ex19/2elements.inp @@ -0,0 +1,156 @@ +*Heading +** Job name: Job-1 Model name: Model-1 +** Generated by: Abaqus/CAE Student Edition 2019 +*Preprint, echo=NO, model=NO, history=NO, contact=NO +** +** PARTS +** +*Part, name=Part-3 +*Node + 1, 0.00499999989, 0.00499999989, 0.00499999989 + 2, 0.00499999989, 0.00249999994, 0.00499999989 + 3, 0.00499999989, 0., 0.00499999989 + 4, 0.00499999989, 0.00499999989, 0.00249999994 + 5, 0.00499999989, 0.00249999994, 0.00249999994 + 6, 0.00499999989, 0., 0.00249999994 + 7, 0.00499999989, 0.00499999989, 0. + 8, 0.00499999989, 0.00249999994, 0. + 9, 0.00499999989, 0., 0. + 10, 0.00249999994, 0.00499999989, 0.00499999989 + 11, 0.00249999994, 0.00249999994, 0.00499999989 + 12, 0.00249999994, 0., 0.00499999989 + 13, 0.00249999994, 0.00499999989, 0.00249999994 + 14, 0.00249999994, 0.00249999994, 0.00249999994 + 15, 0.00249999994, 0., 0.00249999994 + 16, 0.00249999994, 0.00499999989, 0. + 17, 0.00249999994, 0.00249999994, 0. + 18, 0.00249999994, 0., 0. + 19, 0., 0.00499999989, 0.00499999989 + 20, 0., 0.00249999994, 0.00499999989 + 21, 0., 0., 0.00499999989 + 22, 0., 0.00499999989, 0.00249999994 + 23, 0., 0.00249999994, 0.00249999994 + 24, 0., 0., 0.00249999994 + 25, 0., 0.00499999989, 0. + 26, 0., 0.00249999994, 0. + 27, 0., 0., 0. +*Element, type=C3D8 +1, 10, 11, 14, 13, 1, 2, 5, 4 +2, 11, 12, 15, 14, 2, 3, 6, 5 +3, 13, 14, 17, 16, 4, 5, 8, 7 +4, 14, 15, 18, 17, 5, 6, 9, 8 +5, 19, 20, 23, 22, 10, 11, 14, 13 +6, 20, 21, 24, 23, 11, 12, 15, 14 +7, 22, 23, 26, 25, 13, 14, 17, 16 +8, 23, 24, 27, 26, 14, 15, 18, 17 +*Nset, nset=_PickedSet9, internal, generate + 1, 27, 1 +*Elset, elset=_PickedSet9, internal, generate + 1, 8, 1 +** Section: Section-2 +*Solid Section, elset=_PickedSet9, material=elastic +, +*End Part +** +** +** ASSEMBLY +** +*Assembly, name=Assembly +** +*Instance, name=Part-3-1, part=Part-3 +*End Instance +** +*Node + 1, 0., 0.00499999989, 0.00249999994 +*Node + 2, 0.00499999989, 0.00499999989, 0.00249999994 +*Node + 3, 0.00499999989, 0., 0.00249999994 +*Node + 4, 0., 0., 0.00249999994 +*Nset, nset=xnodes, instance=Part-3-1 + 19, 21, 25, 27 +*Nset, nset=xnodes2el, instance=Part-3-1 + 19, 21, 25, 27 +*Nset, nset=xnodes2el + 1, 4 +*Nset, nset=yloadnodes, instance=Part-3-1 + 1, 7, 19, 25 +*Nset, nset=yloadnodes2el, instance=Part-3-1 + 1, 7, 19, 25 +*Nset, nset=yloadnodes2el + 1, 2 +*Nset, nset=ynodes, instance=Part-3-1 + 3, 9, 21, 27 +*Nset, nset=ynodes2el, instance=Part-3-1 + 3, 9, 21, 27 +*Nset, nset=ynodes2el + 3, 4 +*Nset, nset=znodes, instance=Part-3-1 + 7, 9, 25, 27 +*Nset, nset=_PickedSet35, internal, instance=Part-3-1, generate + 19, 27, 1 +*Elset, elset=_PickedSet35, internal, instance=Part-3-1, generate + 5, 8, 1 +*Nset, nset=_PickedSet37, internal, instance=Part-3-1, generate + 3, 27, 3 +*Elset, elset=_PickedSet37, internal, instance=Part-3-1, generate + 2, 8, 2 +*Nset, nset=_PickedSet38, internal, instance=Part-3-1 + 7, 8, 9, 16, 17, 18, 25, 26, 27 +*Elset, elset=_PickedSet38, internal, instance=Part-3-1 + 3, 4, 7, 8 +*Elset, elset=_Surf-1_S6, internal, instance=Part-3-1, generate + 1, 7, 2 +*Surface, type=ELEMENT, name=Surf-1 +_Surf-1_S6, S6 +*End Assembly +*Amplitude, name=Amp-1 + 0., 0., 0.1, 1. +** +** MATERIALS +** +*Material, name=elastic +*Density +1040., +*Elastic +250., 0.25 +** ---------------------------------------------------------------- +** +** STEP: Step-1 +** +*Step, name=Step-1, nlgeom=YES +*Dynamic, Explicit +, 0.1 +*Bulk Viscosity +0., 0. +** +** BOUNDARY CONDITIONS +** +** Name: BC-9 Type: Displacement/Rotation +*Boundary +_PickedSet35, 1, 1 +** Name: BC-10 Type: Displacement/Rotation +*Boundary +_PickedSet38, 3, 3 +** Name: BC-11 Type: Displacement/Rotation +*Boundary +_PickedSet37, 2, 2 +** +** LOADS +** +** Name: Load-1 Type: Pressure +*Dsload, amplitude=Amp-1 +Surf-1, P, -100. +** +** OUTPUT REQUESTS +** +*Restart, write, number interval=1, time marks=NO +** +** FIELD OUTPUT: F-Output-1 +** +*Output, field +*Node Output +A, RF, U, V +*Output, history, frequency=0 +*End Step diff --git a/examples/ex19/CMakeLists.txt b/examples/ex19/CMakeLists.txt new file mode 100644 index 00000000..50924f80 --- /dev/null +++ b/examples/ex19/CMakeLists.txt @@ -0,0 +1,30 @@ +SET(ex19_src ex19.cpp) + +ADD_EXECUTABLE(ex19 ${ex19_src}) + +if(ENABLE_MPI) + LINK_DIRECTORIES(${CMAKE_BINARY_DIR}/lib ${CMAKE_BINARY_DIR}/third-party/parmetis-4.0.3/libparmetis) + TARGET_LINK_LIBRARIES(ex19 FemTech parmetis ${lapackblas_libraries}) +else() + LINK_DIRECTORIES(${CMAKE_BINARY_DIR}/lib) + TARGET_LINK_LIBRARIES(ex19 FemTech) +endif(ENABLE_MPI) + +file(INSTALL 2elements.inp DESTINATION .) +file(INSTALL materials.dat DESTINATION .) +file(INSTALL compareResults.py DESTINATION .) +file(INSTALL gnuplot.script DESTINATION .) +file(INSTALL gnuplotEnergy.script DESTINATION .) +file(INSTALL README.md DESTINATION .) +file(INSTALL abaqus DESTINATION .) +file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results) +file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results/vtu) + +# Define debugger options when working with windows & visual studio generator +# We set them here but could be passed as options if required +# We use a template for the same, replacing the options we need +if(WIN32 AND MSVC) + set( DEBUG_COMMAND "C:\\Program Files\\Microsoft MPI\\Bin\\mpiexec.exe" ) + set( DEBUG_COMMAND_ARGUMENTS "-n 1 \"$(TargetPath)\" 1-elt-cube.k" ) + configure_file( template.vcxproj.user.in ${CMAKE_BINARY_DIR}/examples/ex19/ex19.vcxproj.user @ONLY ) +endif() diff --git a/examples/ex19/README.md b/examples/ex19/README.md new file mode 100644 index 00000000..bf067b71 --- /dev/null +++ b/examples/ex19/README.md @@ -0,0 +1,9 @@ +# To run: +prompt> mpirun -n 1 ex19 1-elt-hex.k + +# To Plot: +prompt> gnuplot gnuplot.script + +## On windows: +-start x, at prompt type: startxwin +-cygstart plot.png diff --git a/examples/ex19/abaqus/elasticDisplacements.rpt b/examples/ex19/abaqus/elasticDisplacements.rpt new file mode 100644 index 00000000..629d5ecf --- /dev/null +++ b/examples/ex19/abaqus/elasticDisplacements.rpt @@ -0,0 +1,29 @@ + + _U:U1 PI: PART-3- _U:U2 PI: PART-3- _U:U3 PI: PART-3- + X 1 N: 1 1 N: 1 1 N: 1 + + 0. 0. 0. 0. + 6.60909E-03 0. 27.7582E-06 0. + 13.1797E-03 -30.9017E-06 158.522E-06 -30.9017E-06 + 16.4427E-03 -54.4008E-06 259.798E-06 -54.4008E-06 + 22.9319E-03 -109.06E-06 520.296E-06 -109.06E-06 + 26.1469E-03 -155.31E-06 637.327E-06 -155.31E-06 + 32.519E-03 -221.062E-06 823.81E-06 -221.062E-06 + 35.6797E-03 -228.012E-06 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00000000..12eb9b6e --- /dev/null +++ b/examples/ex19/compareResults.py @@ -0,0 +1,29 @@ +import os +import sys +import numpy as np + +def getLastLine(fname): + with open(fname, 'rb') as f: + f.seek(-2, os.SEEK_END) + while f.read(1) != b'\n': + f.seek(-2, os.SEEK_CUR) + lastLine = f.readline().decode() + array = map(float, lastLine.split()) + return np.array(array) + +femTech = getLastLine('plot.dat') +abaqus = getLastLine('abaqus/abaqus.rpt') + +tF = femTech[0]; xF = femTech[1:]; +tA = abaqus[0]; xA = abaqus[10:13]; + +dT = np.abs((tF-tA)*100.0/tA); +dX = np.abs((xF-xA)*100.0/xA); + +if (dT < 1.0): + dMax = dX.max() + if (dMax > 5.0): + raise sys.exit(1) +else: + raise sys.exit(1) +print "Validation Sucessful : Ex9" diff --git a/examples/ex19/ex19.cpp b/examples/ex19/ex19.cpp new file mode 100644 index 00000000..66e71cc5 --- /dev/null +++ b/examples/ex19/ex19.cpp @@ -0,0 +1,252 @@ +#include "FemTech.h" + +#include + +/*Delare Functions*/ +void ApplyBoundaryConditions(double tMax); +void CustomPlot(); + +double Time, dt; +int nSteps; +double ExplicitTimeStepReduction = 0.8; +double FailureTimeStep = 1e-11; + +int nPlotSteps = 50; +bool ImplicitStatic = false; +bool ImplicitDynamic = false; +bool ExplicitDynamic = true; + +int main(int argc, char **argv) { + InitFemTechWoInput(argc, argv); + + ReadInputFile(argv[1]); + ReadMaterials(); + + PartitionMesh(); + + AllocateArrays(); + + std::string meshFile(argv[1]); + size_t lastindex = meshFile.find_last_of("."); + std::string outputFileName = meshFile.substr(0, lastindex); + /* Write inital, undeformed configuration*/ + Time = 0.0; + int plot_counter = 0; + WriteVTU(outputFileName.c_str(), plot_counter); + stepTime[plot_counter] = Time; + CustomPlot(); + + // Dynamic Explcit solution using.... + + dt = 0.0; + double tMax = 0.10; // max simulation time in seconds + + int time_step_counter = 0; + /** Central Difference Method - Beta and Gamma */ + // double beta = 0; + // double gamma = 0.5; + + ShapeFunctions(); + /* Step-1: Calculate the mass matrix similar to that of belytschko. */ + AssembleLumpedMass(); + + // Used if initial velocity and acceleration BC is to be set. + ApplyBoundaryConditions(tMax); + + /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ + dt = ExplicitTimeStepReduction * StableTimeStep(); + /* Step-2: getforce step from Belytschko */ + GetForce(); // Calculating the force term. + + /* Step-3: Calculate accelerations */ + CalculateAccelerations(); + + nSteps = (int)(tMax / dt); + int nsteps_plot = (int)(nSteps / nPlotSteps); + if (nsteps_plot == 0) { + nsteps_plot = 1; + } + FILE_LOG_MASTER(INFO, "initial dt = %3.3e, nSteps = %d, nsteps_plot = %d", dt, nSteps, + nsteps_plot); + + + time_step_counter = time_step_counter + 1; + double t_n = 0.0; + + FILE_LOG_MASTER(INFO, "------------------------------- Loop ----------------------------"); + FILE_LOG_MASTER(INFO, "Time : %15.6e, tmax : %15.6e", Time, tMax); + + /* Step-4: Time loop starts....*/ + while (Time < tMax) { + t_n = Time; + double t_np1 = Time + dt; + Time = t_np1; /*Update the time by adding full time step */ + FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, tMax); + double dt_nphalf = dt; // equ 6.2.1 + double t_nphalf = 0.5 * (t_np1 + t_n); // equ 6.2.1 + + /* Step 5 from Belytschko Box 6.1 - Update velocity */ + for (int i = 0; i < nDOF; i++) { + if (boundary[i]) { + velocities_half[i] = velocities[i]; + } else { + velocities_half[i] = + velocities[i] + (t_nphalf - t_n) * accelerations[i]; + } + } + + // Store old displacements and accelerations for energy computation + memcpy(displacements_prev, displacements, nDOF * sizeof(double)); + memcpy(accelerations_prev, accelerations, nDOF * sizeof(double)); + // Store internal external force from previous step to compute energy + memcpy(fi_prev, fi, nDOF * sizeof(double)); + memcpy(fe_prev, fe, nDOF * sizeof(double)); + + for (int i = 0; i < nDOF; i++) { + if (!boundary[i]) { + displacements[i] = displacements[i] + dt_nphalf * velocities_half[i]; + } + } + /* Step 6 Enforce displacement boundary Conditions */ + ApplyBoundaryConditions(tMax); + + /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ + GetForce(); // Calculating the force term. + /* Step - 9 from Belytschko Box 6.1 - Calculate Accelerations */ + CalculateAccelerations(); // Calculating the new accelerations from total + // nodal forces. + + /** Step- 10 - Second Partial Update of Nodal Velocities */ + for (int i = 0; i < nDOF; i++) { + if (!boundary[i]) { + velocities[i] = + velocities_half[i] + (t_np1 - t_nphalf) * accelerations[i]; + } + } + + /** Step - 11 Checking* Energy Balance */ + int writeFlag = time_step_counter%nsteps_plot; + CheckEnergy(Time, writeFlag); + + if (writeFlag == 0) { + plot_counter = plot_counter + 1; + CalculateStrain(); + FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); + WriteVTU(outputFileName.c_str(), plot_counter); + if (plot_counter < MAXPLOTSTEPS) { + stepTime[plot_counter] = Time; + WritePVD(outputFileName.c_str(), plot_counter); + } + CustomPlot(); + + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, "Displacement Solution"); + } + time_step_counter = time_step_counter + 1; + dt = ExplicitTimeStepReduction * StableTimeStep(); + // Barrier not a must + MPI_Barrier(MPI_COMM_WORLD); + } // end explcit while loop + FILE_LOG_MASTER(INFO, "End of Iterative Loop"); + + // Write out the last time step + CustomPlot(); + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, "Final Displacement Solution"); + + FinalizeFemTech(); + return 0; +} + +void ApplyBoundaryConditions(double tMax) { + double tol = 1e-5; + double pressure = 100.0; + double area = 0.005*0.005/4.0; + double unit = pressure*area*0.25; + // Apply Ramped Pressure + double rampedUnit = Time*unit/tMax; + + int index; + double total = 0.0; + for (int i = 0; i < nNodes; i++) { + // if x value = 0, constrain node to x plane (0-direction) + index = ndim * i + 0; + if (fabs(coordinates[index] - 0.0) < tol) { + boundary[index] = 1; + displacements[index] = 0.0; + velocities[index] = 0.0; + // For energy computations + accelerations[index] = 0.0; + } + // if y coordinate = 0, constrain node to y plane (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + boundary[index] = 1; + displacements[index] = 0.0; + velocities[index] = 0.0; + accelerations[index] = 0.0; + } + // if z coordinate = 0, constrain node to z plane (2-direction) + index = ndim * i + 2; + if (fabs(coordinates[index] - 0.0) < tol) { + boundary[index] = 1; + displacements[index] = 0.0; + velocities[index] = 0.0; + accelerations[index] = 0.0; + } + // if y coordinate = 1, apply force in y direction + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.005) < tol) { + double xC = coordinates[index-1]; + double zC = coordinates[index+1]; + if (fabs(xC-0.0) < tol || fabs(xC-0.005) < tol) { + if (fabs(zC-0.0) < tol || fabs(zC-0.005) < tol) { + fe[index] = 1.0*rampedUnit; + total += rampedUnit; + } else { + fe[index] = 2.0*rampedUnit; + total += 2.0*rampedUnit; + } + } else { + if (fabs(zC-0.0) < tol || fabs(zC-0.005) < tol) { + fe[index] = 2.0*rampedUnit; + total += 2.0*rampedUnit; + } else { + fe[index] = 4.0*rampedUnit; + total += 4.0*rampedUnit; + } + } + } + } + FILE_LOG_SINGLE(INFO, "Total pressure : %f", total/(0.005*0.005)); + return; +} + +void CustomPlot() { + double tol = 1e-5; + FILE *datFile; + int x = 0; + int y = 1; + int z = 2; + + if (fabs(Time - 0.0) < 1e-16) { + datFile = fopen("plot.dat", "w"); + fprintf(datFile, "# Results for Node ?\n"); + fprintf(datFile, "# Time DispX DispY DispZ\n"); + fprintf(datFile, "%11.5e %11.5e %11.5e %11.5e\n", 0.0, 0.0, 0.0, 0.0); + + } else { + datFile = fopen("plot.dat", "a"); + for (int i = 0; i < nNodes; i++) { + if (fabs(coordinates[ndim * i + x] - 0.005) < tol && + fabs(coordinates[ndim * i + y] - 0.005) < tol && + fabs(coordinates[ndim * i + z] - 0.005) < tol) { + + fprintf(datFile, "%11.5e %11.5e %11.5e %11.5e\n", Time, + displacements[ndim * i + x], displacements[ndim * i + y], + displacements[ndim * i + z]); + } + } + } + + fclose(datFile); + return; +} diff --git a/examples/ex19/gnuplot.script b/examples/ex19/gnuplot.script new file mode 100644 index 00000000..082ca7c8 --- /dev/null +++ b/examples/ex19/gnuplot.script @@ -0,0 +1,54 @@ +set termoption dashed + +unset colorbox + +# nomirror means do not put tics on the opposite side of the plot +set xtics nomirror +set ytics nomirror + +# On the Y axis put a major tick every 5 +#set ytics 5 + +# On both the x and y axes split each space in half and put a minor tic there +#set mxtics 2 +#set mytics 2 + +set grid xtics +set grid ytics +set grid mxtics +set grid mytics + +# Set the range of our x and y axes +set xrange [0:0.1] +#set yrange [-30:5] + +# scale plot canvas size +set size square 0.9,0.9 + +# set line style; can be: lines, linespoints, points, impulse +set style data lines + +# Create some linestyles for our data +# pt = point type (triangles, circles, squares, etc.) +# ps = point size +set style line 1 lt 2 dt 2 lc rgb "red" lw 6 pt 2 ps 2 +set style line 2 lt 2 dt 2 lc rgb "blue" lw 6 pt 3 ps 2 +set style line 3 lt 1 lc rgb "black" lw 8 pt 6 ps 2 +set style line 4 lt 1 lc rgb "orange" lw 8 pt 9 ps 2 + +set xtics font ",18" +set ytics font ",18" +set bmargin 8 +set xlabel "Time (s)" offset 0,-2 font ",28" +set ylabel "Displacement (m)" offset -4,0 font ",28" + +# set location of legend +set key left top +# set font size of legend +set key font ",18" +set term pngcairo dashed notransparent size 1200,960 dashlength .4 +set output "plot.png" +plot "abaqus/elasticDisplacements.rpt" every ::4 using 1:2 ls 3 title "ABAQUS DispX", \ + "abaqus/elasticDisplacements.rpt" every ::4 using 1:3 ls 4 title "ABAQUS DispY", \ + "plot.dat" using 1:2 ls 1 title "FEMTECH DispX", \ + "plot.dat" using 1:3 ls 2 title "FEMTECH DispY" diff --git a/examples/ex19/gnuplotEnergy.script b/examples/ex19/gnuplotEnergy.script new file mode 100644 index 00000000..d95fa828 --- /dev/null +++ b/examples/ex19/gnuplotEnergy.script @@ -0,0 +1,64 @@ +set termoption dashed + +unset colorbox + +# nomirror means do not put tics on the opposite side of the plot +set xtics nomirror +set ytics nomirror + +# On the Y axis put a major tick every 5 +#set ytics 5 + +# On both the x and y axes split each space in half and put a minor tic there +#set mxtics 2 +#set mytics 2 + +set grid xtics +set grid ytics +set grid mxtics +set grid mytics + +# Set the range of our x and y axes +set xrange [0:1] +# set yrange [0:8e-11] + +# scale plot canvas size +set size square 0.9,0.9 + +# set line style; can be: lines, linespoints, points, impulse +set style data lines + +# Create some linestyles for our data +# pt = point type (triangles, circles, squares, etc.) +# ps = point size +set style line 1 lt 2 dt 2 lc rgb "red" lw 6 pt 2 ps 2 +set style line 2 lt 2 dt 2 lc rgb "blue" lw 6 pt 3 ps 2 +set style line 3 lt 1 lc rgb "black" lw 6 pt 6 ps 2 +set style line 4 lt 1 lc rgb "orange" lw 6 pt 9 ps 2 + +set xtics font ",18" +set ytics font ",18" +set bmargin 8 +set xlabel "Time (s)" offset 0,-2 font ",28" +set ylabel "Work (J)" offset -4,0 font ",28" + +# set location of legend +set key left top +# set font size of legend +set key font ",18" +set term pngcairo dashed notransparent size 1200,960 dashlength .4 +set output "WorkInternalExternal.png" +plot "abaqus/energy.rpt" every ::4 using 1:3 ls 3 title "WInt ABAQUS", \ + "abaqus/energy.rpt" every ::4 using 1:2 ls 1 title "WExt ABAQUS", \ + "energy.dat" using 1:2 ls 4 title "WInt FEMTech", \ + "energy.dat" using 1:3 ls 2 title "WExt FEMTech" + +set ylabel "KE (J)" offset -4,0 font ",28" +set output "KineticEnergy.png" +plot "abaqus/energy.rpt" every ::4 using 1:4 ls 3 title "KE ABAQUS", \ + "energy.dat" using 1:4 ls 2 title "KE FEMTech" + +set ylabel "Total Energy (J)" offset -4,0 font ",28" +set output "TotalEnergy.png" +plot "abaqus/energy.rpt" every ::4 using 1:5 ls 3 title "Total ABAQUS", \ + "energy.dat" using 1:5 ls 2 title "Total FEMTech" diff --git a/examples/ex19/materials.dat b/examples/ex19/materials.dat new file mode 100644 index 00000000..9b20992e --- /dev/null +++ b/examples/ex19/materials.dat @@ -0,0 +1,9 @@ +0 3 1040 100.0 100.0 + + +# form of file +# partID (starting at 0), material ID (goes with consitutive model), ... +# n properties (reads MAXMATPARAMS defined in GlobalVariables.h) + +# mat ID 1 - CompressibleNeoHookean props: density mu lambda +# mat ID 2 - St. Venant props : density mu lambda diff --git a/examples/ex19/template.vcxproj.user.in b/examples/ex19/template.vcxproj.user.in new file mode 100644 index 00000000..4ee72aa2 --- /dev/null +++ b/examples/ex19/template.vcxproj.user.in @@ -0,0 +1,8 @@ + + + + @DEBUG_COMMAND@ + WindowsLocalDebugger + @DEBUG_COMMAND_ARGUMENTS@ + + \ No newline at end of file diff --git a/src/io/output/FreeArrays.cpp b/src/io/output/FreeArrays.cpp index 235b7db7..1b72938f 100644 --- a/src/io/output/FreeArrays.cpp +++ b/src/io/output/FreeArrays.cpp @@ -27,6 +27,7 @@ void FreeArrays() { free1DArray(boundary); free1DArray(velocities_half); free1DArray(fe); + free1DArray(fe_prev); free1DArray(fi); free1DArray(f_net); free1DArray(fr_prev); From c7b9468368d994c7db8a66741114bf7e6c46fb83 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 19 Jul 2020 12:29:28 +0530 Subject: [PATCH 004/106] ex19 with 1 element Neo-Hookean Comparison --- examples/ex19/1-elt-cube.k | 22 + examples/ex19/2elements.inp | 156 ------ examples/ex19/abaqus/elasticDisplacements.rpt | 124 ++++- .../ex19/abaqus/viscoElasticDisplacements.rpt | 509 ------------------ examples/ex19/ex19.cpp | 25 +- examples/ex19/gnuplot.script | 2 +- examples/ex19/materials.dat | 2 +- 7 files changed, 130 insertions(+), 710 deletions(-) create mode 100644 examples/ex19/1-elt-cube.k delete mode 100644 examples/ex19/2elements.inp delete mode 100644 examples/ex19/abaqus/viscoElasticDisplacements.rpt diff --git a/examples/ex19/1-elt-cube.k b/examples/ex19/1-elt-cube.k new file mode 100644 index 00000000..c0da0b69 --- /dev/null +++ b/examples/ex19/1-elt-cube.k @@ -0,0 +1,22 @@ +$# LS-DYNA Keyword file created by LS-PrePost(R) V4.5.23 - 17Aug2018 +$# Created on Jan-20-2019 (21:27:25) +*KEYWORD +*PART +$# title +boxsolid +$# pid secid mid eosid hgid grav adpopt tmid + 1 0 0 0 0 0 0 0 +*ELEMENT_SOLID +$# eid pid n1 n2 n3 n4 n5 n6 n7 n8 + 1 1 1 2 4 3 5 6 8 7 +*NODE +$# nid x y z tc rc + 1 0.000 0.000 0.000 0 0 + 2 0.005 0.000 0.000 0 0 + 3 0.000 0.005 0.000 0 0 + 4 0.005 0.005 0.000 0 0 + 5 0.000 0.000 0.005 0 0 + 6 0.005 0.000 0.005 0 0 + 7 0.000 0.005 0.005 0 0 + 8 0.005 0.005 0.005 0 0 +*END diff --git a/examples/ex19/2elements.inp b/examples/ex19/2elements.inp deleted file mode 100644 index 7b7f1410..00000000 --- a/examples/ex19/2elements.inp +++ /dev/null @@ -1,156 +0,0 @@ -*Heading -** Job name: Job-1 Model name: Model-1 -** Generated by: Abaqus/CAE Student Edition 2019 -*Preprint, echo=NO, model=NO, history=NO, contact=NO -** -** PARTS -** -*Part, name=Part-3 -*Node - 1, 0.00499999989, 0.00499999989, 0.00499999989 - 2, 0.00499999989, 0.00249999994, 0.00499999989 - 3, 0.00499999989, 0., 0.00499999989 - 4, 0.00499999989, 0.00499999989, 0.00249999994 - 5, 0.00499999989, 0.00249999994, 0.00249999994 - 6, 0.00499999989, 0., 0.00249999994 - 7, 0.00499999989, 0.00499999989, 0. - 8, 0.00499999989, 0.00249999994, 0. - 9, 0.00499999989, 0., 0. - 10, 0.00249999994, 0.00499999989, 0.00499999989 - 11, 0.00249999994, 0.00249999994, 0.00499999989 - 12, 0.00249999994, 0., 0.00499999989 - 13, 0.00249999994, 0.00499999989, 0.00249999994 - 14, 0.00249999994, 0.00249999994, 0.00249999994 - 15, 0.00249999994, 0., 0.00249999994 - 16, 0.00249999994, 0.00499999989, 0. - 17, 0.00249999994, 0.00249999994, 0. - 18, 0.00249999994, 0., 0. - 19, 0., 0.00499999989, 0.00499999989 - 20, 0., 0.00249999994, 0.00499999989 - 21, 0., 0., 0.00499999989 - 22, 0., 0.00499999989, 0.00249999994 - 23, 0., 0.00249999994, 0.00249999994 - 24, 0., 0., 0.00249999994 - 25, 0., 0.00499999989, 0. - 26, 0., 0.00249999994, 0. - 27, 0., 0., 0. -*Element, type=C3D8 -1, 10, 11, 14, 13, 1, 2, 5, 4 -2, 11, 12, 15, 14, 2, 3, 6, 5 -3, 13, 14, 17, 16, 4, 5, 8, 7 -4, 14, 15, 18, 17, 5, 6, 9, 8 -5, 19, 20, 23, 22, 10, 11, 14, 13 -6, 20, 21, 24, 23, 11, 12, 15, 14 -7, 22, 23, 26, 25, 13, 14, 17, 16 -8, 23, 24, 27, 26, 14, 15, 18, 17 -*Nset, nset=_PickedSet9, internal, generate - 1, 27, 1 -*Elset, elset=_PickedSet9, internal, generate - 1, 8, 1 -** Section: Section-2 -*Solid Section, elset=_PickedSet9, material=elastic -, -*End Part -** -** -** ASSEMBLY -** -*Assembly, name=Assembly -** -*Instance, name=Part-3-1, part=Part-3 -*End Instance -** -*Node - 1, 0., 0.00499999989, 0.00249999994 -*Node - 2, 0.00499999989, 0.00499999989, 0.00249999994 -*Node - 3, 0.00499999989, 0., 0.00249999994 -*Node - 4, 0., 0., 0.00249999994 -*Nset, nset=xnodes, instance=Part-3-1 - 19, 21, 25, 27 -*Nset, nset=xnodes2el, instance=Part-3-1 - 19, 21, 25, 27 -*Nset, nset=xnodes2el - 1, 4 -*Nset, nset=yloadnodes, instance=Part-3-1 - 1, 7, 19, 25 -*Nset, nset=yloadnodes2el, instance=Part-3-1 - 1, 7, 19, 25 -*Nset, nset=yloadnodes2el - 1, 2 -*Nset, nset=ynodes, instance=Part-3-1 - 3, 9, 21, 27 -*Nset, nset=ynodes2el, instance=Part-3-1 - 3, 9, 21, 27 -*Nset, nset=ynodes2el - 3, 4 -*Nset, nset=znodes, instance=Part-3-1 - 7, 9, 25, 27 -*Nset, nset=_PickedSet35, internal, instance=Part-3-1, generate - 19, 27, 1 -*Elset, elset=_PickedSet35, internal, instance=Part-3-1, generate - 5, 8, 1 -*Nset, nset=_PickedSet37, internal, instance=Part-3-1, generate - 3, 27, 3 -*Elset, elset=_PickedSet37, internal, instance=Part-3-1, generate - 2, 8, 2 -*Nset, nset=_PickedSet38, internal, instance=Part-3-1 - 7, 8, 9, 16, 17, 18, 25, 26, 27 -*Elset, elset=_PickedSet38, internal, instance=Part-3-1 - 3, 4, 7, 8 -*Elset, elset=_Surf-1_S6, internal, instance=Part-3-1, generate - 1, 7, 2 -*Surface, type=ELEMENT, name=Surf-1 -_Surf-1_S6, S6 -*End Assembly -*Amplitude, name=Amp-1 - 0., 0., 0.1, 1. -** -** MATERIALS -** -*Material, name=elastic -*Density -1040., -*Elastic -250., 0.25 -** ---------------------------------------------------------------- -** -** STEP: Step-1 -** -*Step, name=Step-1, nlgeom=YES -*Dynamic, Explicit -, 0.1 -*Bulk Viscosity -0., 0. -** -** BOUNDARY CONDITIONS -** -** Name: BC-9 Type: Displacement/Rotation -*Boundary -_PickedSet35, 1, 1 -** Name: BC-10 Type: Displacement/Rotation -*Boundary -_PickedSet38, 3, 3 -** Name: BC-11 Type: Displacement/Rotation -*Boundary -_PickedSet37, 2, 2 -** -** LOADS -** -** Name: Load-1 Type: Pressure -*Dsload, amplitude=Amp-1 -Surf-1, P, -100. -** -** OUTPUT REQUESTS -** -*Restart, write, number interval=1, time marks=NO -** -** FIELD OUTPUT: F-Output-1 -** -*Output, field -*Node Output -A, RF, U, V -*Output, history, frequency=0 -*End Step diff --git a/examples/ex19/abaqus/elasticDisplacements.rpt b/examples/ex19/abaqus/elasticDisplacements.rpt index 629d5ecf..315c6c9b 100644 --- a/examples/ex19/abaqus/elasticDisplacements.rpt +++ b/examples/ex19/abaqus/elasticDisplacements.rpt @@ -1,28 +1,108 @@ - _U:U1 PI: PART-3- _U:U2 PI: PART-3- _U:U3 PI: PART-3- - X 1 N: 1 1 N: 1 1 N: 1 + _U:U1 PI: PART-1- _U:U2 PI: PART-1- _U:U3 PI: PART-1- + X 1 N: 8_1 1 N: 8_1 1 N: 8_1 0. 0. 0. 0. - 6.60909E-03 0. 27.7582E-06 0. - 13.1797E-03 -30.9017E-06 158.522E-06 -30.9017E-06 - 16.4427E-03 -54.4008E-06 259.798E-06 -54.4008E-06 - 22.9319E-03 -109.06E-06 520.296E-06 -109.06E-06 - 26.1469E-03 -155.31E-06 637.327E-06 -155.31E-06 - 32.519E-03 -221.062E-06 823.81E-06 -221.062E-06 - 35.6797E-03 -228.012E-06 895.089E-06 -228.012E-06 - 41.9735E-03 -216.198E-06 971.135E-06 -216.198E-06 - 45.105E-03 -198.185E-06 988.126E-06 -198.185E-06 - 51.7805E-03 -171.085E-06 1.0487E-03 -171.085E-06 - 55.3243E-03 -188.916E-06 1.1128E-03 -188.916E-06 - 62.3847E-03 -305.423E-06 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-373.149E-06 - 78.0003E-03 -364.164E-06 874.907E-06 -364.16E-06 - 78.2006E-03 -354.387E-06 853.118E-06 -354.38E-06 - 78.4002E-03 -343.701E-06 829.735E-06 -343.692E-06 - 78.6005E-03 -331.926E-06 805.057E-06 -331.914E-06 - 78.8002E-03 -319.109E-06 779.74E-06 -319.095E-06 - 79.0005E-03 -305.225E-06 754.149E-06 -305.209E-06 - 79.2001E-03 -290.516E-06 728.979E-06 -290.498E-06 - 79.4004E-03 -275.121E-06 704.578E-06 -275.103E-06 - 79.6E-03 -259.451E-06 681.573E-06 -259.432E-06 - 79.8003E-03 -243.774E-06 660.218E-06 -243.755E-06 - 80.0006E-03 -228.553E-06 640.915E-06 -228.534E-06 - 80.2003E-03 -214.262E-06 623.945E-06 -214.244E-06 - 80.4006E-03 -201.236E-06 609.326E-06 -201.218E-06 - 80.6002E-03 -189.956E-06 597.177E-06 -189.94E-06 - 80.8005E-03 -180.704E-06 587.343E-06 -180.689E-06 - 81.0002E-03 -173.822E-06 579.72E-06 -173.808E-06 - 81.2004E-03 -169.467E-06 574.014E-06 -169.454E-06 - 81.4001E-03 -167.772E-06 569.96E-06 -167.761E-06 - 81.6004E-03 -168.724E-06 567.189E-06 -168.713E-06 - 81.8E-03 -172.207E-06 565.361E-06 -172.198E-06 - 82.0003E-03 -178.038E-06 564.119E-06 -178.03E-06 - 82.2006E-03 -185.91E-06 563.157E-06 -185.903E-06 - 82.4003E-03 -195.411E-06 562.222E-06 -195.404E-06 - 82.6006E-03 -206.152E-06 561.128E-06 -206.146E-06 - 82.8002E-03 -217.576E-06 559.784E-06 -217.571E-06 - 83.0005E-03 -229.256E-06 558.18E-06 -229.252E-06 - 83.2001E-03 -240.628E-06 556.415E-06 -240.624E-06 - 83.4004E-03 -251.313E-06 554.655E-06 -251.311E-06 - 83.6001E-03 -260.859E-06 553.16E-06 -260.857E-06 - 83.8004E-03 -269.025E-06 552.227E-06 -269.024E-06 - 84.E-03 -275.561E-06 552.2E-06 -275.561E-06 - 84.2003E-03 -280.423E-06 553.423E-06 -280.424E-06 - 84.4006E-03 -283.617E-06 556.224E-06 -283.618E-06 - 84.6003E-03 -285.278E-06 560.862E-06 -285.28E-06 - 84.8006E-03 -285.657E-06 567.571E-06 -285.66E-06 - 85.0002E-03 -285.07E-06 576.425E-06 -285.073E-06 - 85.2005E-03 -283.891E-06 587.492E-06 -283.896E-06 - 85.4001E-03 -282.539E-06 600.601E-06 -282.545E-06 - 85.6004E-03 -281.423E-06 615.628E-06 -281.429E-06 - 85.8001E-03 -280.944E-06 632.163E-06 -280.951E-06 - 86.0004E-03 -281.451E-06 649.908E-06 -281.458E-06 - 86.2E-03 -283.219E-06 668.279E-06 -283.226E-06 - 86.4003E-03 -286.455E-06 686.877E-06 -286.463E-06 - 86.6006E-03 -291.257E-06 705.11E-06 -291.264E-06 - 86.8003E-03 -297.595E-06 722.403E-06 -297.602E-06 - 87.0005E-03 -305.405E-06 738.388E-06 -305.411E-06 - 87.2002E-03 -314.433E-06 752.557E-06 -314.438E-06 - 87.4005E-03 -324.452E-06 764.687E-06 -324.457E-06 - 87.6001E-03 -335.045E-06 774.491E-06 -335.048E-06 - 87.8004E-03 -345.881E-06 781.948E-06 -345.883E-06 - 88.0001E-03 -356.469E-06 787.051E-06 -356.47E-06 - 88.2004E-03 -366.458E-06 789.998E-06 -366.458E-06 - 88.4E-03 -375.395E-06 791.051E-06 -375.395E-06 - 88.6003E-03 -383.001E-06 790.597E-06 -383.E-06 - 88.8006E-03 -388.983E-06 789.089E-06 -388.982E-06 - 89.0002E-03 -393.164E-06 787.045E-06 -393.163E-06 - 89.2005E-03 -395.51E-06 784.983E-06 -395.509E-06 - 89.4002E-03 -396.059E-06 783.435E-06 -396.058E-06 - 89.6005E-03 -394.976E-06 782.869E-06 -394.975E-06 - 89.8001E-03 -392.532E-06 783.696E-06 -392.531E-06 - 90.0004E-03 -389.063E-06 786.23E-06 -389.062E-06 - 90.2001E-03 -385.008E-06 790.647E-06 -385.008E-06 - 90.4004E-03 -380.801E-06 797.038E-06 -380.802E-06 - 90.6E-03 -376.942E-06 805.289E-06 -376.942E-06 - 90.8003E-03 -373.86E-06 815.248E-06 -373.861E-06 - 91.0006E-03 -371.983E-06 826.565E-06 -371.985E-06 - 91.2002E-03 -371.65E-06 838.767E-06 -371.652E-06 - 91.4005E-03 -373.104E-06 851.429E-06 -373.107E-06 - 91.6002E-03 -376.47E-06 863.92E-06 -376.474E-06 - 91.8005E-03 -381.784E-06 875.753E-06 -381.789E-06 - 92.0001E-03 -388.902E-06 886.305E-06 -388.908E-06 - 92.2004E-03 -397.637E-06 895.146E-06 -397.644E-06 - 92.4001E-03 -407.593E-06 901.795E-06 -407.6E-06 - 92.6003E-03 -418.395E-06 905.974E-06 -418.404E-06 - 92.8006E-03 -429.502E-06 907.448E-06 -429.512E-06 - 93.0003E-03 -440.322E-06 906.139E-06 -440.333E-06 - 93.2006E-03 -450.351E-06 902.08E-06 -450.363E-06 - 93.4002E-03 -458.965E-06 895.453E-06 -458.978E-06 - 93.6005E-03 -465.706E-06 886.476E-06 -465.72E-06 - 93.8002E-03 -470.093E-06 875.553E-06 -470.108E-06 - 94.0005E-03 -471.816E-06 863.018E-06 -471.83E-06 - 94.2001E-03 -470.643E-06 849.382E-06 -470.658E-06 - 94.4004E-03 -466.481E-06 834.992E-06 -466.495E-06 - 94.6001E-03 -459.406E-06 820.34E-06 -459.419E-06 - 94.8003E-03 -449.555E-06 805.674E-06 -449.567E-06 - 95.0006E-03 -437.253E-06 791.305E-06 -437.264E-06 - 95.2003E-03 -422.962E-06 777.44E-06 -422.971E-06 - 95.4006E-03 -407.078E-06 764.042E-06 -407.085E-06 - 95.6002E-03 -390.246E-06 751.146E-06 -390.25E-06 - 95.8005E-03 -372.918E-06 738.508E-06 -372.92E-06 - 96.0002E-03 -355.759E-06 725.966E-06 -355.76E-06 - 96.2005E-03 -339.174E-06 713.132E-06 -339.172E-06 - 96.4001E-03 -323.713E-06 699.746E-06 -323.71E-06 - 96.6004E-03 -309.631E-06 685.373E-06 -309.627E-06 - 96.8E-03 -297.265E-06 669.793E-06 -297.26E-06 - 97.0003E-03 -286.663E-06 652.647E-06 -286.658E-06 - 97.2006E-03 -277.874E-06 633.819E-06 -277.869E-06 - 97.4003E-03 -270.807E-06 613.326E-06 -270.803E-06 - 97.6006E-03 -265.198E-06 591.115E-06 -265.195E-06 - 97.8002E-03 -260.78E-06 567.539E-06 -260.778E-06 - 98.0005E-03 -257.157E-06 542.799E-06 -257.156E-06 - 98.2002E-03 -253.951E-06 517.537E-06 -253.952E-06 - 98.4005E-03 -250.739E-06 492.19E-06 -250.741E-06 - 98.6001E-03 -247.17E-06 467.611E-06 -247.173E-06 - 98.8004E-03 -242.907E-06 444.397E-06 -242.911E-06 - 99.E-03 -237.752E-06 423.481E-06 -237.757E-06 - 99.2003E-03 -231.553E-06 405.498E-06 -231.558E-06 - 99.4006E-03 -224.326E-06 391.245E-06 -224.331E-06 - 99.6003E-03 -216.223E-06 381.376E-06 -216.227E-06 - 99.8006E-03 -207.432E-06 376.336E-06 -207.435E-06 - 100.E-03 -198.364E-06 376.506E-06 -198.366E-06 - - - - diff --git a/examples/ex19/ex19.cpp b/examples/ex19/ex19.cpp index 66e71cc5..38e9f6cd 100644 --- a/examples/ex19/ex19.cpp +++ b/examples/ex19/ex19.cpp @@ -39,7 +39,7 @@ int main(int argc, char **argv) { // Dynamic Explcit solution using.... dt = 0.0; - double tMax = 0.10; // max simulation time in seconds + double tMax = 1.0; // max simulation time in seconds int time_step_counter = 0; /** Central Difference Method - Beta and Gamma */ @@ -159,7 +159,7 @@ int main(int argc, char **argv) { void ApplyBoundaryConditions(double tMax) { double tol = 1e-5; double pressure = 100.0; - double area = 0.005*0.005/4.0; + double area = 0.005*0.005; double unit = pressure*area*0.25; // Apply Ramped Pressure double rampedUnit = Time*unit/tMax; @@ -195,25 +195,8 @@ void ApplyBoundaryConditions(double tMax) { // if y coordinate = 1, apply force in y direction index = ndim * i + 1; if (fabs(coordinates[index] - 0.005) < tol) { - double xC = coordinates[index-1]; - double zC = coordinates[index+1]; - if (fabs(xC-0.0) < tol || fabs(xC-0.005) < tol) { - if (fabs(zC-0.0) < tol || fabs(zC-0.005) < tol) { - fe[index] = 1.0*rampedUnit; - total += rampedUnit; - } else { - fe[index] = 2.0*rampedUnit; - total += 2.0*rampedUnit; - } - } else { - if (fabs(zC-0.0) < tol || fabs(zC-0.005) < tol) { - fe[index] = 2.0*rampedUnit; - total += 2.0*rampedUnit; - } else { - fe[index] = 4.0*rampedUnit; - total += 4.0*rampedUnit; - } - } + fe[index] = rampedUnit; + total += rampedUnit; } } FILE_LOG_SINGLE(INFO, "Total pressure : %f", total/(0.005*0.005)); diff --git a/examples/ex19/gnuplot.script b/examples/ex19/gnuplot.script index 082ca7c8..302260f2 100644 --- a/examples/ex19/gnuplot.script +++ b/examples/ex19/gnuplot.script @@ -19,7 +19,7 @@ set grid mxtics set grid mytics # Set the range of our x and y axes -set xrange [0:0.1] +set xrange [0:1] #set yrange [-30:5] # scale plot canvas size diff --git a/examples/ex19/materials.dat b/examples/ex19/materials.dat index 9b20992e..18748dc5 100644 --- a/examples/ex19/materials.dat +++ b/examples/ex19/materials.dat @@ -1,4 +1,4 @@ -0 3 1040 100.0 100.0 +0 1 1040 100.0 100.00 # form of file From d5e1ddf1bba43c7c5ecd25a6154be53af78035c2 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 26 Sep 2020 07:59:10 +0530 Subject: [PATCH 005/106] Added Neo Hookean model to match abaqus --- examples/ex19/CMakeLists.txt | 2 +- examples/ex19/ex19.cpp | 11 ++--- examples/ex9/ex9.cpp | 4 +- include/FemTech.h | 1 + src/fem/SolidMechanics/StressUpdate.cpp | 2 +- src/materials/CMakeLists.txt | 1 + src/materials/CompressibleNeoHookean.cpp | 6 +-- src/materials/HGOIsotropic.cpp | 1 + src/materials/NeoHookeanAbaqus.cpp | 55 ++++++++++++++++++++++++ src/materials/StVenantKirchhoff.cpp | 6 +-- src/timestep/CalculateTimeStep.cpp | 3 ++ src/timestep/StableTimeStep.cpp | 2 + 12 files changed, 76 insertions(+), 18 deletions(-) create mode 100644 src/materials/NeoHookeanAbaqus.cpp diff --git a/examples/ex19/CMakeLists.txt b/examples/ex19/CMakeLists.txt index 50924f80..b22ad366 100644 --- a/examples/ex19/CMakeLists.txt +++ b/examples/ex19/CMakeLists.txt @@ -10,7 +10,7 @@ else() TARGET_LINK_LIBRARIES(ex19 FemTech) endif(ENABLE_MPI) -file(INSTALL 2elements.inp DESTINATION .) +file(INSTALL 1-elt-cube.k DESTINATION .) file(INSTALL materials.dat DESTINATION .) file(INSTALL compareResults.py DESTINATION .) file(INSTALL gnuplot.script DESTINATION .) diff --git a/examples/ex19/ex19.cpp b/examples/ex19/ex19.cpp index 38e9f6cd..597a344b 100644 --- a/examples/ex19/ex19.cpp +++ b/examples/ex19/ex19.cpp @@ -8,7 +8,7 @@ void CustomPlot(); double Time, dt; int nSteps; -double ExplicitTimeStepReduction = 0.8; +double ExplicitTimeStepReduction = 0.7; double FailureTimeStep = 1e-11; int nPlotSteps = 50; @@ -158,14 +158,11 @@ int main(int argc, char **argv) { void ApplyBoundaryConditions(double tMax) { double tol = 1e-5; - double pressure = 100.0; - double area = 0.005*0.005; - double unit = pressure*area*0.25; + double load = 625.0; // Apply Ramped Pressure - double rampedUnit = Time*unit/tMax; + double rampedUnit = Time*load/tMax; int index; - double total = 0.0; for (int i = 0; i < nNodes; i++) { // if x value = 0, constrain node to x plane (0-direction) index = ndim * i + 0; @@ -196,10 +193,8 @@ void ApplyBoundaryConditions(double tMax) { index = ndim * i + 1; if (fabs(coordinates[index] - 0.005) < tol) { fe[index] = rampedUnit; - total += rampedUnit; } } - FILE_LOG_SINGLE(INFO, "Total pressure : %f", total/(0.005*0.005)); return; } diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 0414f7c8..dfef3d2c 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -8,7 +8,7 @@ void CustomPlot(); double Time, dt; int nSteps; -double ExplicitTimeStepReduction = 0.8; +double ExplicitTimeStepReduction = 0.6; double FailureTimeStep = 1e-11; int nPlotSteps = 50; @@ -69,7 +69,7 @@ int main(int argc, char **argv) { dt = 0.0; double tMax = 1.00; // max simulation time in seconds - double dMax = 0.007; // max displacment in meters + double dMax = 0.002; // max displacment in meters int time_step_counter = 0; /** Central Difference Method - Beta and Gamma */ diff --git a/include/FemTech.h b/include/FemTech.h index a045d159..a2ef6dba 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -72,6 +72,7 @@ void ReadMaterials(); // Material Models void StVenantKirchhoff(int e, int gp); void CompressibleNeoHookean(int e, int gp); +void NeoHookeanAbaqus(int e, int gp); void LinearElastic(int e, int gp); void HGOIsotropic(int e, int gp); void HGOIsotropicViscoelastic(int e, int gp); diff --git a/src/fem/SolidMechanics/StressUpdate.cpp b/src/fem/SolidMechanics/StressUpdate.cpp index 8044066b..37adb674 100644 --- a/src/fem/SolidMechanics/StressUpdate.cpp +++ b/src/fem/SolidMechanics/StressUpdate.cpp @@ -8,7 +8,7 @@ void StressUpdate(int e, int gp){ case 0 : // Rigid-body motion break; case 1 : //Compressible Neohookean - CompressibleNeoHookean(e, gp); + NeoHookeanAbaqus(e, gp); break; case 2 : // St. Venant-Kirchhoff StVenantKirchhoff(e, gp); diff --git a/src/materials/CMakeLists.txt b/src/materials/CMakeLists.txt index f318e903..49b88640 100644 --- a/src/materials/CMakeLists.txt +++ b/src/materials/CMakeLists.txt @@ -1,6 +1,7 @@ Set(materials_src materials.cpp CompressibleNeoHookean.cpp + NeoHookeanAbaqus.cpp StVenantKirchhoff.cpp LinearElastic.cpp HGOIsotropic.cpp diff --git a/src/materials/CompressibleNeoHookean.cpp b/src/materials/CompressibleNeoHookean.cpp index 0ebeab0a..1f5c54ac 100644 --- a/src/materials/CompressibleNeoHookean.cpp +++ b/src/materials/CompressibleNeoHookean.cpp @@ -7,9 +7,9 @@ void CompressibleNeoHookean(int e, int gp){ if(ndim == 2){ // 6 values saved per gauss point for 3d - for(int i=0;i<3;i++){ - int index = pk2[e]+3*gp+i; - } + // for(int i=0;i<3;i++){ + // int index = pk2[e]+3*gp+i; + // } } if(ndim == 3){ int index = fptr[e] + ndim * ndim * gp; diff --git a/src/materials/HGOIsotropic.cpp b/src/materials/HGOIsotropic.cpp index 159b5ca9..4d41fb38 100644 --- a/src/materials/HGOIsotropic.cpp +++ b/src/materials/HGOIsotropic.cpp @@ -39,6 +39,7 @@ void HGOIsotropic(int e, int gp) { const double k2 = localProperties[4]; // Kappa = 1/3 for isotropic fiber distribution const double kappa = 1.0/3.0; + FILE_LOG_SINGLE(WARNING, "Material Properties : \n\tMu : %12.9f\nLambda : %12.9f\nk1 : %12.9f\nk2 : %12.9f", mu, lambda, k1, k2); // Compute the bulk modulus from \lambda and \mu const double K = lambda + 2.0*mu/3.0; diff --git a/src/materials/NeoHookeanAbaqus.cpp b/src/materials/NeoHookeanAbaqus.cpp new file mode 100644 index 00000000..b562aab0 --- /dev/null +++ b/src/materials/NeoHookeanAbaqus.cpp @@ -0,0 +1,55 @@ +#include "FemTech.h" +#include "blas.h" + +// plane strain or three-dimensional compressible neo-Hookean +// Evaluates the PK2 stress tensor + +void NeoHookeanAbaqus(int e, int gp){ + if(ndim == 2) { + // 6 values saved per gauss point for 3d + // for(int i=0;i<3;i++){ + // int index = pk2[e]+3*gp+i; + // } + } + if(ndim == 3) { + int index = fptr[e] + ndim * ndim * gp; + int index2 = detFptr[e] + gp; + int pide = pid[e]; + double mu = properties[MAXMATPARAMS * pide + 1]; + double lambda = properties[MAXMATPARAMS * pide + 2]; + double J = detF[index2]; + + // Compute Green-Lagrange Tensor: C = F^T*F + double *Cmat = mat1; + double *Cinv = mat2; + double *F_element_gp = &(F[index]); + dgemm_(chy, chn, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, + F_element_gp, &ndim, &zero, Cmat, &ndim); + double Cdet; + inverse3x3Matrix(Cmat, Cinv, &Cdet); + + //S = \mu*J^{-2/3}*I + (-\mu*J^{-2/3}*tr(C)/3 + + // (\lambda+2*\mu/3)*(J-1))J*C^{-1}; + const double Jm23 = pow(J, -2.0/3.0); + const double traceC = Cmat[0] + Cmat[4] + Cmat[8]; + const double preFactor = -mu*Jm23*traceC/3.0 + (lambda+2.0*mu/3.0)*(J-1.0)*J; + + // 6 values saved per gauss point for 3d + // Computing PK2 + // in voigt notation, sigma11 + pk2[pk2ptr[e]+6*gp+0] = mu*Jm23+preFactor*Cinv[0]; + // in voigt notation, sigma22 + pk2[pk2ptr[e]+6*gp+1] = mu*Jm23+preFactor*Cinv[4]; + // in voigt notation, sigma33 + pk2[pk2ptr[e]+6*gp+2] = mu*Jm23+preFactor*Cinv[8]; + // in voigt notation, sigma23 + pk2[pk2ptr[e]+6*gp+3] = preFactor*Cinv[7]; + // in voigt notation, sigma13 + pk2[pk2ptr[e]+6*gp+4] = preFactor*Cinv[6]; + // in voigt notation, sigma12 + pk2[pk2ptr[e]+6*gp+5] = preFactor*Cinv[3]; + FILE_LOGArraySingle(DEBUGLOGIGNORE, &(pk2[pk2ptr[e]+6*gp]), 6, \ + "Element : %d, GP : %d Stress values", e, gp); + } + return; +} diff --git a/src/materials/StVenantKirchhoff.cpp b/src/materials/StVenantKirchhoff.cpp index d21ecbdc..7154528e 100644 --- a/src/materials/StVenantKirchhoff.cpp +++ b/src/materials/StVenantKirchhoff.cpp @@ -7,9 +7,9 @@ void StVenantKirchhoff(int e, int gp) { if (ndim == 2) { // 6 values saved per gauss point for 3d - for (int i = 0; i < 3; i++) { - int index = pk2ptr[e] + 3 * gp + i; - } + // for (int i = 0; i < 3; i++) { + // int index = pk2ptr[e] + 3 * gp + i; + // } } if (ndim == 3) { int index = fptr[e] + ndim * ndim * gp; diff --git a/src/timestep/CalculateTimeStep.cpp b/src/timestep/CalculateTimeStep.cpp index a76be4a8..8fa845d8 100644 --- a/src/timestep/CalculateTimeStep.cpp +++ b/src/timestep/CalculateTimeStep.cpp @@ -15,7 +15,10 @@ double CalculateTimeStep(int e) { double rho = properties[MAXMATPARAMS * pide + 0]; double nu = 0.5*lambda/(lambda+mu); // ce calculated using dilatatoin wave speed + // TODO : Store Element Ce during pre-processing double ce = sqrt(lambda*(1.0/nu-1.0)/rho); + dtElem = le/ce; + // FILE_LOG_MASTER(WARNING, "Ce : %3.3e, Le : %3.3e, dt = %3.3e", ce, le, dtElem); return dtElem; } diff --git a/src/timestep/StableTimeStep.cpp b/src/timestep/StableTimeStep.cpp index 13f654b1..f5b4a184 100644 --- a/src/timestep/StableTimeStep.cpp +++ b/src/timestep/StableTimeStep.cpp @@ -10,6 +10,8 @@ double StableTimeStep() { for(int i=0;i Date: Mon, 28 Sep 2020 11:25:02 +0530 Subject: [PATCH 006/106] Added sample input for another sensor orientation --- examples/ex5/input_test_st.json | 30 ++++++++++++++++++++++++++++++ 1 file changed, 30 insertions(+) create mode 100644 examples/ex5/input_test_st.json diff --git a/examples/ex5/input_test_st.json b/examples/ex5/input_test_st.json new file mode 100644 index 00000000..86a1b81f --- /dev/null +++ b/examples/ex5/input_test_st.json @@ -0,0 +1,30 @@ +{ + "uid": "test_st", + "player": { + "name" : "harry", + "position" : "OL" + }, + "simulation": { + "mesh" : "coarse_brain.inp", + "linear-acceleration": { + "xv": [ 0, 10, 0 ], + "xt": [0, 20, 40], + "yv": [ 0, 10, 0 ], + "yt": [0, 20, 40], + "zv": [ 0, 10, 0 ], + "zt": [0, 20, 40] + }, + "angular-acceleration": { + "xv": [ 0, 0, 0 ], + "xt": [0, 20, 40], + "yv": [ 0, 0, 0 ], + "yt": [0, 20, 40], + "zv": [ 0, 0, 0 ], + "zt": [0, 20, 40] + }, + "maximum-time": 0.4, + "mesh-transformation" : ["y", "-z", "-x"], + "head-cg" : [0.0, -0.3308, -0.037], + "write-vtu" : false + } +} From fc449acf4fe035d99e4dc69f601c3fa79d873cf4 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 1 Oct 2020 20:27:49 +0530 Subject: [PATCH 007/106] Cleaned up injury criterion, added csdm 5, 10 --- examples/ex5/ex5.cpp | 637 ++++++++++++++++++++----------------------- 1 file changed, 292 insertions(+), 345 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 184cea3e..791112be 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -58,36 +58,59 @@ int output_size, output_rank; double *outputNodeRigidDisp; double *outputElemStress; -/* Variables to compute maximim and minimum strain */ -double maxStrain = 0.0, minStrain = 0.0, maxShear = 0.0; -int maxElem = 0, minElem = 0, shearElem = 0; -double maxT = 0.0, minT = 0.0, maxShearT = 0.0; -struct { - double value; - int rank; -} parStructMax, parStructMin, parStructSMax, parStructPSxSR; -/* Variables for other injury metrics */ -int *MPSgt15, *MPSgt30; // Variable to store if MPS exceeds 15 and 30 -int *MPSRgt120, *MPSxSRgt28; // Varible to store if MPSR > 120 s^-1, MPSxSR > 28 s^-1 +/* Variables for injury metrics */ +/* Variables to compute maximum quatities over time and space */ +/* 0. Maximum principal strain, 1. Maximum principal shear, + * 2. Maximum principal strain times strain rate + * 3. Minimum principal strain + * */ +const int maxQuantities = 4; +const std::string maxOutput[maxQuantities] = {"principal-max-strain", "maximum-shear-strain", \ + "maximum-PSxSR", "principal-min-strain"}; +const MPI_Op outputOperator[maxQuantities] = {MPI_MAXLOC, MPI_MAXLOC, MPI_MAXLOC, MPI_MINLOC}; + +double maxValue[maxQuantities], maxTime[maxQuantities]; +int maxElem[maxQuantities]; + +/* Percentile variables */ +/* 0. MPS - 95 Percentile + * 1. MPSxSR - 95 Percentile + */ +const int percentileQuantities = 2; +int *percentileElements[percentileQuantities]; +double percentileTime[percentileQuantities]; +double percentileValue[percentileQuantities]; +const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95"}; +/* Threshold variables */ +/* 0. MPS > 5 + * 1. MPS > 10 + * 2. MPS > 15 + * 3. MPS > 30 + * 4. MPSR > 120 1/s + * 5. MPSxSR > 28 1/s + */ +const int threshQuantities = 6; +int *thresholdElements[threshQuantities]; +const std::string thresholdTag[threshQuantities] = {"CSDM-5", "CSDM-10", \ + "CSDM-15", "CSDM-30", "MPSR-120", "MPSxSR-28"}; + /* Variables for maximum Principal Strain times Strain Rate */ -double *PS_Old, maxPSxSR = 0.0, maxTimePSxSR = 0.0; -int maxElemPSxSR; -int nElementsInjury, *elementIDInjury; +double *PS_Old = NULL; +double *PSxSRArray = NULL; + +int nElementsInjury, *elementIDInjury = NULL; // part ID to exclude from injury computation // 0 : Skull, 1 : CSF const int injuryExcludePIDCount = 2; const int injuryExcludePID[injuryExcludePIDCount] = {0, 1}; -double maxMPS95, maxTimeMPS95; -int *maxElemListMPS95, maxElemCountMPS95; -double maxMPSxSR95, maxTimeMPSxSR95, *PSxSRArray; -int *maxElemListMPSxSR95, maxElemCountMPSxSR95; + // Variables to write injury criterion to Paraview output -int *mps95Output = NULL, *csdm15Output = NULL, *csdm30Output = NULL; -int *psr120Output = NULL, *psxsr28Output = NULL; -const int outputCount = 5; -int **outputDataArray = NULL; -const char* outputNames[outputCount] ={"CSDM-15", "CSDM-30", "PSR-120", \ - "PSxSR-28", "MPS-95"}; +const int outputCount = 7; +int *outputDataArray[outputCount]; +const char* outputNames[outputCount] ={"CSDM-5", "CSDM-10", "CSDM-15", \ + "CSDM-30", "MPSR-120", "MPSxSR-28", "MPS-95"}; +const int csdmCount = 4; +const double csdmLimits[csdmCount] = {0.05, 0.1, 0.15, 0.3}; /* Variables used to store acceleration values */ int linAccXSize, linAccYSize, linAccZSize; @@ -104,6 +127,7 @@ runge_kutta_dopri5 rk; void computeDerivatives(const state_type &y, state_type &ydot, const double t); state_type yInt, ydotInt; double cm[3]; +std::string outputFileName; int main(int argc, char **argv) { // Initialize FemTech including logfile and MPI @@ -119,7 +143,7 @@ int main(int argc, char **argv) { // Read Input Mesh file and equally partition elements among processes ReadInputFile(meshFile.c_str()); size_t lastindex = meshFile.find_last_of("."); - std::string outputFileName = meshFile.substr(0, lastindex) + "_" + uid; + outputFileName = meshFile.substr(0, lastindex) + "_" + uid; // Read material properties before mesh partition to estimate // material type kernel compute intensity ReadMaterials(); @@ -249,29 +273,6 @@ int main(int argc, char **argv) { stepTime[plot_counter] = Time; if (writeField) { FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); - // Populate output data - // MPS 95 - memset(mps95Output, 0, nelements*sizeof(int)); - for (int m = 0; m < maxElemCountMPS95; ++m) { - int eID = maxElemListMPS95[m]; - mps95Output[eID] = 1; - } - // CSDM-15, CSDM-30, PSR-120, PSxSR-28 - for (int j = 0; j < nElementsInjury; j++) { - int eID = elementIDInjury[j]; - if (MPSgt15[j]) { - csdm15Output[eID] = 1; - if (MPSgt30[j]) { - csdm30Output[eID] = 1; - } - } - if (MPSRgt120[j]) { - psr120Output[eID] = 1; - } - if (MPSxSRgt28[j]) { - psxsr28Output[eID] = 1; - } - } WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, \ outputCount, outputNames); WritePVD(outputFileName.c_str(), plot_counter); @@ -312,22 +313,15 @@ int main(int argc, char **argv) { free1DArray(outputElemList); free1DArray(outputNodeRigidDisp); // Free variables used for injury criterions - free1DArray(MPSgt15); - free1DArray(MPSgt30); free1DArray(PS_Old); free1DArray(elementIDInjury); - free1DArray(MPSRgt120); - free1DArray(MPSxSRgt28); - free1DArray(maxElemListMPS95); - free1DArray(maxElemListMPSxSR95); free1DArray(PSxSRArray); - // Injury criterion output variables - free1DArray(mps95Output); - free1DArray(csdm15Output); - free1DArray(csdm30Output); - free1DArray(psr120Output); - free1DArray(psxsr28Output); - free1DArray(outputDataArray); + for (int i = 0; i < threshQuantities; ++i) { + free1DArray(thresholdElements[i]); + } + for (int i = 0; i < percentileQuantities; ++i) { + free1DArray(percentileElements[i]); + } if (rankForCustomPlot) { MPI_File_close(&outputFilePtr); @@ -1020,23 +1014,72 @@ void computeDerivatives(const state_type &y, state_type &ydot, const double t) { } void WriteOutputFile() { - // Find the gloabl min and max strain - parStructMax.value = maxStrain; - parStructMax.rank = world_rank; - MPI_Allreduce(MPI_IN_PLACE, &parStructMax, 1, MPI_DOUBLE_INT, MPI_MAXLOC, MPI_COMM_WORLD); + Json::Value output; + Json::Value vec(Json::arrayValue); - parStructMin.value = minStrain; - parStructMin.rank = world_rank; - MPI_Allreduce(MPI_IN_PLACE, &parStructMin, 1, MPI_DOUBLE_INT, MPI_MINLOC, MPI_COMM_WORLD); - - parStructSMax.value = maxShear; - parStructSMax.rank = world_rank; - MPI_Allreduce(MPI_IN_PLACE, &parStructSMax, 1, MPI_DOUBLE_INT, MPI_MAXLOC, MPI_COMM_WORLD); + // Write basic info that does not require any computation + if (world_rank == 0) { + output["output-file"] = outputFileName + ".pvd"; - // Find the gloabl max PSxSR - parStructPSxSR.value = maxPSxSR; - parStructPSxSR.rank = world_rank; - MPI_Allreduce(MPI_IN_PLACE, &parStructPSxSR, 1, MPI_DOUBLE_INT, MPI_MAXLOC, MPI_COMM_WORLD); + vec.resize(ndim); + // Write center of mass co-ordinates in JSON + for (int i = 0; i < ndim; ++i) { + vec[i] = cm[i]; + } + output["center-of-mass"] = vec; + } + // Compute and write principal values + double maxLocationAndTime[4]; + int globalElementID; + struct { + double value; + int rank; + } parStructMax; + + /* Calculate principal min and max strain location and send to master */ + // Find the gloabl max principal strain + for (int i = 0; i < maxQuantities; ++i) { + parStructMax.value = maxValue[i]; + parStructMax.rank = world_rank; + MPI_Allreduce(MPI_IN_PLACE, &parStructMax, 1, MPI_DOUBLE_INT, \ + outputOperator[i], MPI_COMM_WORLD); + if (parStructMax.rank == world_rank) { + for (int j = 0; j < 4; ++j) { + maxLocationAndTime[j] = 0.0; + } + int elementID = maxElem[i]; + // Compute element coordinates + int nP = eptr[elementID+1]-eptr[elementID]; + for (int j = eptr[elementID]; j < eptr[elementID+1]; ++j) { + maxLocationAndTime[0] += coordinates[connectivity[j]*ndim]; + maxLocationAndTime[1] += coordinates[connectivity[j]*ndim+1]; + maxLocationAndTime[2] += coordinates[connectivity[j]*ndim+2]; + } + for (int j = 0; j < ndim; ++j) { + maxLocationAndTime[i] = maxLocationAndTime[i]/((double)nP); + } + maxLocationAndTime[3] = maxTime[i]; + if (world_rank != 0) { + MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7297+i, MPI_COMM_WORLD); + MPI_Send(&global_eid[elementID], 1, MPI_INT, 0, 7297+i, MPI_COMM_WORLD); + } + } + if (world_rank == 0) { + if (parStructMax.rank != 0) { + MPI_Recv(maxLocationAndTime, 4, MPI_DOUBLE, parStructMax.rank, \ + 7297+i, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + MPI_Recv(&globalElementID, 1, MPI_INT, parStructMax.rank, \ + 7297+i, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + } + for (int j = 0; j < ndim; ++j) { + vec[j] = maxLocationAndTime[j]; + } + output[maxOutput[i]]["value"] = parStructMax.value; + output[maxOutput[i]]["location"] = vec; + output[maxOutput[i]]["time"] = maxLocationAndTime[3]; + output[maxOutput[i]]["global-element-id"] = globalElementID; + } + } // Compute the volume of all parts double volumePart[nPIDglobal]; @@ -1045,124 +1088,39 @@ void WriteOutputFile() { volumePart[i] = 0.0; } computePartVolume(volumePart, elementVolume); - - // Compute Volume with MPS > 15, 30 - double MPSgt15Volume = 0.0, MPSgt30Volume = 0.0; - double MPSRgt120Volume = 0.0, MPSxSRgt28Volume = 0.0; - for (int i = 0; i < nElementsInjury; ++i) { - double eV = elementVolume[elementIDInjury[i]]; - if (MPSgt15[i]) { - MPSgt15Volume += eV; - if (MPSgt30[i]) { - MPSgt30Volume += eV; - } - } - if (MPSRgt120[i]) { - MPSRgt120Volume += eV; - } - if (MPSxSRgt28[i]) { - MPSxSRgt28Volume += eV; - } + // Compute Volume of threshold quantities + double thresholdVolume[threshQuantities]; + for (int i = 0; i < threshQuantities; ++i) { + thresholdVolume[i] = 0.0; } - MPI_Allreduce(MPI_IN_PLACE, &MPSgt15Volume, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); - MPI_Allreduce(MPI_IN_PLACE, &MPSgt30Volume, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); - MPI_Allreduce(MPI_IN_PLACE, &MPSRgt120Volume, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); - MPI_Allreduce(MPI_IN_PLACE, &MPSxSRgt28Volume, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); - - /* Calculate min and max strain location and send to master */ - // Copy max and min strain - if (parStructMin.rank == world_rank) { - double minLocationAndTime[4]; - for (int i = 0; i < 4; ++i) { - minLocationAndTime[i] = 0.0; - } - // Compute element coordinates - int nP = eptr[minElem+1]-eptr[minElem]; - for (int i = eptr[minElem]; i < eptr[minElem+1]; ++i) { - minLocationAndTime[0] += coordinates[connectivity[i]*ndim]; - minLocationAndTime[1] += coordinates[connectivity[i]*ndim+1]; - minLocationAndTime[2] += coordinates[connectivity[i]*ndim+2]; - } - for (int i = 0; i < ndim; ++i) { - minLocationAndTime[i] = minLocationAndTime[i]/((double)nP); - } - minLocationAndTime[3] = minT; - MPI_Send(minLocationAndTime, 4, MPI_DOUBLE, 0, 7297, MPI_COMM_WORLD); - MPI_Send(&global_eid[minElem], 1, MPI_INT, 0, 7297, MPI_COMM_WORLD); - } - if (parStructMax.rank == world_rank) { - double maxLocationAndTime[4]; - for (int i = 0; i < 4; ++i) { - maxLocationAndTime[i] = 0.0; - } - // Compute element coordinates - int nP = eptr[maxElem+1]-eptr[maxElem]; - for (int i = eptr[maxElem]; i < eptr[maxElem+1]; ++i) { - maxLocationAndTime[0] += coordinates[connectivity[i]*ndim]; - maxLocationAndTime[1] += coordinates[connectivity[i]*ndim+1]; - maxLocationAndTime[2] += coordinates[connectivity[i]*ndim+2]; - } - for (int i = 0; i < ndim; ++i) { - maxLocationAndTime[i] = maxLocationAndTime[i]/((double)nP); - } - maxLocationAndTime[3] = maxT; - MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7298, MPI_COMM_WORLD); - MPI_Send(&global_eid[maxElem], 1, MPI_INT, 0, 7298, MPI_COMM_WORLD); - } - if (parStructSMax.rank == world_rank) { - double maxLocationAndTime[4]; - for (int i = 0; i < 4; ++i) { - maxLocationAndTime[i] = 0.0; - } - // Compute element coordinates - int nP = eptr[shearElem+1]-eptr[shearElem]; - for (int i = eptr[shearElem]; i < eptr[shearElem+1]; ++i) { - maxLocationAndTime[0] += coordinates[connectivity[i]*ndim]; - maxLocationAndTime[1] += coordinates[connectivity[i]*ndim+1]; - maxLocationAndTime[2] += coordinates[connectivity[i]*ndim+2]; - } - for (int i = 0; i < ndim; ++i) { - maxLocationAndTime[i] = maxLocationAndTime[i]/((double)nP); + for (int i = 0; i < nelements; ++i) { + double eV = elementVolume[i]; + // CSDM 5, 10, 15, 30 volume computations + if (thresholdElements[0][i]) { + thresholdVolume[0] += eV; + if (thresholdElements[1][i]) { + thresholdVolume[1] += eV; + if (thresholdElements[2][i]) { + thresholdVolume[2] += eV; + if (thresholdElements[3][i]) { + thresholdVolume[3] += eV; + } + } + } } - maxLocationAndTime[3] = maxShearT; - MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7299, MPI_COMM_WORLD); - MPI_Send(&global_eid[shearElem], 1, MPI_INT, 0, 7299, MPI_COMM_WORLD); - } - if (parStructPSxSR.rank == world_rank) { - double maxLocationAndTime[4]; - for (int i = 0; i < 4; ++i) { - maxLocationAndTime[i] = 0.0; - } - // Compute element coordinates - int nP = eptr[maxElemPSxSR+1]-eptr[maxElemPSxSR]; - for (int i = eptr[maxElemPSxSR]; i < eptr[maxElemPSxSR+1]; ++i) { - maxLocationAndTime[0] += coordinates[connectivity[i]*ndim]; - maxLocationAndTime[1] += coordinates[connectivity[i]*ndim+1]; - maxLocationAndTime[2] += coordinates[connectivity[i]*ndim+2]; + // MPSR > 120 volume + if (thresholdElements[4][i]) { + thresholdVolume[4] += eV; } - for (int i = 0; i < ndim; ++i) { - maxLocationAndTime[i] = maxLocationAndTime[i]/((double)nP); + // MPSxSR > 28 volume + if (thresholdElements[5][i]) { + thresholdVolume[5] += eV; } - maxLocationAndTime[3] = maxTimePSxSR; - MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7300, MPI_COMM_WORLD); - MPI_Send(&global_eid[maxElemPSxSR], 1, MPI_INT, 0, 7300, MPI_COMM_WORLD); } - + // Calculate cumulative volume on all ranks + MPI_Allreduce(MPI_IN_PLACE, thresholdVolume, 6, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); if (world_rank == 0) { - double minRecv[4]; - double maxRecv[4]; - double shearRecv[4]; - double maxPSxSrRecv[4]; - int globalIDMax[4]; - MPI_Recv(minRecv, 4, MPI_DOUBLE, parStructMin.rank, 7297, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - MPI_Recv(&globalIDMax[0], 1, MPI_INT, parStructMin.rank, 7297, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - MPI_Recv(maxRecv, 4, MPI_DOUBLE, parStructMax.rank, 7298, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - MPI_Recv(&globalIDMax[1], 1, MPI_INT, parStructMax.rank, 7298, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - MPI_Recv(shearRecv, 4, MPI_DOUBLE, parStructSMax.rank, 7299, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - MPI_Recv(&globalIDMax[2], 1, MPI_INT, parStructSMax.rank, 7299, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - MPI_Recv(maxPSxSrRecv, 4, MPI_DOUBLE, parStructPSxSR.rank, 7300, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - MPI_Recv(&globalIDMax[3], 1, MPI_INT, parStructPSxSR.rank, 7300, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - // Excluded PID hardcoded in CSDM-15 computation + // Excluded PID hardcoded for CSDM computation double totalVolume = 0.0; for (int i = 0; i < nPIDglobal; ++i) { bool include = true; @@ -1176,67 +1134,91 @@ void WriteOutputFile() { totalVolume += volumePart[i]; } } - - Json::Value output; - Json::Value vec(Json::arrayValue); - - vec.append(Json::Value(maxRecv[0])); - vec.append(Json::Value(maxRecv[1])); - vec.append(Json::Value(maxRecv[2])); - output["principal-max-strain"]["value"] = parStructMax.value; - output["principal-max-strain"]["location"] = vec; - output["principal-max-strain"]["time"] = maxRecv[3]; - output["principal-max-strain"]["global-element-id"] = globalIDMax[1]; - - vec[0] = minRecv[0]; - vec[1] = minRecv[1]; - vec[2] = minRecv[2]; - output["principal-min-strain"]["value"] = parStructMin.value; - output["principal-min-strain"]["location"] = vec; - output["principal-min-strain"]["time"] = minRecv[3]; - output["principal-min-strain"]["global-element-id"] = globalIDMax[0]; - - vec[0] = shearRecv[0]; - vec[1] = shearRecv[1]; - vec[2] = shearRecv[2]; - output["maximum-shear-strain"]["value"] = parStructSMax.value; - output["maximum-shear-strain"]["location"] = vec; - output["maximum-shear-strain"]["time"] = shearRecv[3]; - output["maximum-shear-strain"]["global-element-id"] = globalIDMax[2]; - - vec[0] = maxPSxSrRecv[0]; - vec[1] = maxPSxSrRecv[1]; - vec[2] = maxPSxSrRecv[2]; - output["maximum-PSxSR"]["value"] = parStructPSxSR.value; - output["maximum-PSxSR"]["location"] = vec; - output["maximum-PSxSR"]["time"] = maxPSxSrRecv[3]; - output["maximum-PSxSR"]["global-element-id"] = globalIDMax[3]; - - output["output-file"] = "coarse_brain.pvd"; - - // Write center of mass co-ordinates in JSON - vec[0] = cm[0]; - vec[1] = cm[1]; - vec[2] = cm[2]; - output["center-of-mass"] = vec; - // Write brain volume in output.json output["brain-volume"] = totalVolume; - // Write CSDM-15 and 30 - output["csdm-15"] = MPSgt15Volume/totalVolume; - output["csdm-30"] = MPSgt30Volume/totalVolume; - output["MPSR-120"] = MPSRgt120Volume/totalVolume; - output["MPSxSR-28"] = MPSxSRgt28Volume/totalVolume; - - // Write MPS-95 - output["MPS-95"]["value"] = maxMPS95; - output["MPS-95"]["time"] = maxTimeMPS95; + // Write threshold values + for (int i = 0; i < threshQuantities; ++i) { + output[thresholdTag[i]]["value"] = thresholdVolume[i]/totalVolume; + } + // Write percentile values + for (int i = 0; i < percentileQuantities; ++i) { + output[percentileTag[i]]["value"] = percentileValue[i]; + output[percentileTag[i]]["time"] = percentileTime[i]; + } + } + // Create list to write to output.json + const int outputJsonCount = 5; + std::string jsonOutputTag[outputJsonCount]; + int *outputJsonArray[outputJsonCount]; + for (int i = 0; i < csdmCount; ++i) { + jsonOutputTag[i] = thresholdTag[i]; + outputJsonArray[i] = thresholdElements[i]; + } + jsonOutputTag[csdmCount] = percentileTag[0]; + outputJsonArray[csdmCount] = percentileElements[0]; - // Write MPS-95 - output["MPSxSR-95"]["value"] = maxMPSxSR95; - output["MPSxSR-95"]["time"] = maxTimeMPSxSR95; + int *countPerProc, *cumCountPerProc, *fullElemList; + if (world_rank == 0) { + countPerProc = (int*)malloc(world_size*sizeof(int)); + cumCountPerProc = (int*)malloc(world_size*sizeof(int)); + } + for (int i = 0; i < outputJsonCount; ++i) { + int* list = outputJsonArray[i]; + int count = 0; + for (int j = 0; j < nelements; ++j) { + if (list[j]) { + count = count + 1; + } + } + int numElem = count; + int *localElemList = (int*)malloc(numElem*sizeof(int)); + count = 0; + if (numElem) { + for (int j = 0; j < nelements; ++j) { + if (list[j]) { + localElemList[count] = global_eid[j]; + count = count + 1; + } + } + } + // Get total count + int totalElems = 0; + MPI_Allreduce(&numElem, &totalElems, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD); + // Get recv count + MPI_Gather(&numElem, 1, MPI_INT, countPerProc, 1, MPI_INT, 0, MPI_COMM_WORLD); + + if (world_rank == 0) { + fullElemList = (int*)malloc(totalElems*sizeof(int)); + cumCountPerProc[0] = 0; + for (int j = 1; j < world_size; ++j) { + cumCountPerProc[j] = countPerProc[j-1] + cumCountPerProc[j-1]; + } + } + // Get full array + if (totalElems) { + MPI_Gatherv(localElemList, numElem, MPI_INT, fullElemList, countPerProc, \ + cumCountPerProc, MPI_INT, 0, MPI_COMM_WORLD); + } + if (world_rank == 0) { + Json::Value elementList(Json::arrayValue); + elementList.resize(totalElems); + for (int j = 0; j < totalElems; ++j) { + elementList[j] = fullElemList[j]; + } + free(fullElemList); + output[jsonOutputTag[i]]["global-element-id"] = elementList; + } + free(localElemList); + MPI_Barrier(MPI_COMM_WORLD); + } + if (world_rank == 0) { + free(countPerProc); + free(cumCountPerProc); + } + // Write output to file + if (world_rank == 0) { Json::StreamWriterBuilder builder; builder["commentStyle"] = "None"; builder["indentation"] = " "; @@ -1247,6 +1229,13 @@ void WriteOutputFile() { } void InitInjuryCriterion(void) { + // Set all min and max quantities to zero + for (int i = 0; i < maxQuantities; ++i) { + maxValue[i] = 0.0; + maxTime[i] = 0.0; + maxElem[i] = 0; + } + // Allocate variables for injury metrics nElementsInjury = 0; @@ -1280,66 +1269,55 @@ void InitInjuryCriterion(void) { } } - MPSgt15 = (int*)calloc(nElementsInjury, sizeof(int)); - MPSgt30 = (int*)calloc(nElementsInjury, sizeof(int)); + for (int i = 0; i < threshQuantities; ++i) { + thresholdElements[i] = (int*)calloc(nelements, sizeof(int)); + } + // Write percentile values + for (int i = 0; i < percentileQuantities; ++i) { + percentileElements[i] = (int*)malloc(nelements*sizeof(int)); + percentileTime[i] = 0.0; + percentileValue[i] = 0.0; + } PS_Old = (double*)malloc(nElementsInjury*sizeof(double)); - MPSRgt120 = (int*)calloc(nElementsInjury, sizeof(int)); - MPSxSRgt28 = (int*)calloc(nElementsInjury, sizeof(int)); - maxMPS95 = 0.0; - maxTimeMPS95 = 0.0; - maxElemCountMPS95 = 0; - maxElemListMPS95 = NULL; - maxMPSxSR95 = 0.0; - maxTimeMPSxSR95 = 0.0; - maxElemCountMPSxSR95 = 0; - maxElemListMPSxSR95 = NULL; PSxSRArray = (double*)malloc(nElementsInjury*sizeof(double)); + // Array to output to Paraview - outputDataArray = (int**)malloc(outputCount*sizeof(int*)); - // TODO(Anil), remove these arrays and use existing arrays of size - // nElementInjury. Will require better design of wrtieVTU. - mps95Output = (int*)calloc(nelements, sizeof(int)); - csdm15Output = (int*)calloc(nelements, sizeof(int)); - csdm30Output = (int*)calloc(nelements, sizeof(int)); - psr120Output = (int*)calloc(nelements, sizeof(int)); - psxsr28Output = (int*)calloc(nelements, sizeof(int)); - outputDataArray[4] = mps95Output; outputDataArray[0] = csdm15Output; - outputDataArray[1] = csdm30Output; outputDataArray[2] = psr120Output; - outputDataArray[3] = psxsr28Output; + // All threshold elements CSDM : 5, 10, 15, 30, MPSR-120, MPSxSR-28 + for (int i = 0; i < threshQuantities; ++i) { + outputDataArray[i] = thresholdElements[i]; + } + outputDataArray[threshQuantities] = percentileElements[0]; // Write MPS-95 to paraview } void CalculateInjuryCriterions(void) { double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; double PSR = 0.0, PSxSR = 0.0; + for (int j = 0; j < nElementsInjury; j++) { int i = elementIDInjury[j]; CalculateMaximumPrincipalStrain(i, ¤tStrainMaxElem, \ ¤tStrainMinElem, ¤tShearMaxElem); - if (maxStrain < currentStrainMaxElem) { - maxStrain = currentStrainMaxElem; - maxElem = i; - maxT = Time; - } - if (minStrain > currentStrainMinElem) { - minStrain = currentStrainMinElem; - minElem = i; - minT = Time; - } - if (maxShear < currentShearMaxElem) { - maxShear = currentShearMaxElem; - shearElem = i; - maxShearT = Time; - } - // Calculate MPS 15 - if (!MPSgt15[j]) { - if (currentStrainMaxElem > 0.15) { - MPSgt15[j] = 1; - } - } - // Calculate MPS 30 - if (!MPSgt30[j]) { - if (currentStrainMaxElem > 0.30) { - MPSgt30[j] = 1; + if (maxValue[0] < currentStrainMaxElem) { + maxValue[0] = currentStrainMaxElem; + maxElem[0] = i; + maxTime[0] = Time; + } + if (maxValue[3] > currentStrainMinElem) { + maxValue[3] = currentStrainMinElem; + maxElem[3] = i; + maxTime[3] = Time; + } + if (maxValue[1] < currentShearMaxElem) { + maxValue[1] = currentShearMaxElem; + maxElem[1] = i; + maxTime[1] = Time; + } + // Update csdm element list + for (int k = 0; k < csdmCount; ++k) { + if (!thresholdElements[k][i]) { + if (currentStrainMaxElem > csdmLimits[k]) { + thresholdElements[k][i] = 1; + } } } // Compute maxPSxSR @@ -1347,21 +1325,21 @@ void CalculateInjuryCriterions(void) { PSR = (currentStrainMaxElem - PS_Old[j])/dt; // TODO(Anil) : Sould absolute value be used for PSR ? PSxSR = currentStrainMaxElem*PSR; - if (maxPSxSR < PSxSR) { - maxPSxSR = PSxSR; - maxElemPSxSR = i; - maxTimePSxSR = Time; + if (maxValue[2] < PSxSR) { + maxValue[2] = PSxSR; + maxElem[2] = i; + maxTime[2] = Time; } // Calculate MPSR 120 - if (!MPSRgt120[j]) { + if (!thresholdElements[4][i]) { if (PSR > 120.0) { - MPSRgt120[j] = 1; + thresholdElements[4][i] = 1; } } // Calculate MPSxSR 28 - if (!MPSxSRgt28[j]) { + if (!thresholdElements[5][i]) { if (PSxSR > 28.0) { - MPSxSRgt28[j] = 1; + thresholdElements[5][i] = 1; } } PS_Old[j] = currentStrainMaxElem; @@ -1370,60 +1348,29 @@ void CalculateInjuryCriterions(void) { // Compute 95 percentile MPS and corresponding element list double MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); - if (MPS95 > maxMPS95) { - maxMPS95 = MPS95; - maxTimeMPS95 = Time; - int count = 0; - for (int j = 0; j < nElementsInjury; j++) { - if (PS_Old[j] >= maxMPS95) { - count = count + 1; - } - } - // re-allocate element list - if (count != maxElemCountMPS95) { - free1DArray(maxElemListMPS95); - if (count == 0) { - maxElemListMPS95 = NULL; - } else { - maxElemListMPS95 = (int*)malloc(sizeof(int)*count); - } - } - maxElemCountMPS95 = count; - count = 0; + if (MPS95 > percentileValue[0]) { + memset(percentileElements[0], 0, nelements*sizeof(int)); + percentileValue[0] = MPS95; + percentileTime[0] = Time; for (int j = 0; j < nElementsInjury; j++) { - if (PS_Old[j] >= maxMPS95) { - maxElemListMPS95[count] = elementIDInjury[j]; - count = count + 1; + if (PS_Old[j] >= MPS95) { + const int i = elementIDInjury[j]; + percentileElements[0][i] = 1; } } } // Compute 95 percentile MPSxSR and corresponding element list double MPSxSR95 = compute95thPercentileValue(PSxSRArray, nElementsInjury); - if (MPSxSR95 > maxMPSxSR95) { - maxMPSxSR95 = MPSxSR95; - maxTimeMPSxSR95 = Time; + if (MPSxSR95 > percentileValue[1]) { + memset(percentileElements[1], 0, nelements*sizeof(int)); + percentileValue[1] = MPSxSR95; + percentileTime[1] = Time; int count = 0; for (int j = 0; j < nElementsInjury; j++) { - if (PSxSRArray[j] >= maxMPSxSR95) { - count = count + 1; - } - } - // re-allocate element list - if (count != maxElemCountMPSxSR95) { - free1DArray(maxElemListMPSxSR95); - if (count == 0) { - maxElemListMPSxSR95 = NULL; - } else { - maxElemListMPSxSR95 = (int*)malloc(sizeof(int)*count); - } - } - maxElemCountMPSxSR95 = count; - count = 0; - for (int j = 0; j < nElementsInjury; j++) { - if (PSxSRArray[j] >= maxMPSxSR95) { - maxElemListMPSxSR95[count] = elementIDInjury[j]; - count = count + 1; + if (PSxSRArray[j] >= MPSxSR95) { + const int i = elementIDInjury[j]; + percentileElements[1][i] = 1; } } } From ab047340db931da786bfdc601f8688a4a476739e Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 1 Oct 2020 23:47:51 +0530 Subject: [PATCH 008/106] Bug in max quantities computation updated --- examples/ex5/ex5.cpp | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 791112be..f55cec97 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -1056,12 +1056,13 @@ void WriteOutputFile() { maxLocationAndTime[2] += coordinates[connectivity[j]*ndim+2]; } for (int j = 0; j < ndim; ++j) { - maxLocationAndTime[i] = maxLocationAndTime[i]/((double)nP); + maxLocationAndTime[j] = maxLocationAndTime[j]/((double)nP); } maxLocationAndTime[3] = maxTime[i]; + globalElementID = global_eid[elementID]; if (world_rank != 0) { MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7297+i, MPI_COMM_WORLD); - MPI_Send(&global_eid[elementID], 1, MPI_INT, 0, 7297+i, MPI_COMM_WORLD); + MPI_Send(&globalElementID, 1, MPI_INT, 0, 7297+i, MPI_COMM_WORLD); } } if (world_rank == 0) { From b5d0d1a0d7144562ea7e8d31de82f6a38c2fab38 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 2 Oct 2020 00:02:12 +0530 Subject: [PATCH 009/106] Updated mps-95 movie --- examples/ex5/mps95Movie.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/ex5/mps95Movie.py b/examples/ex5/mps95Movie.py index 576e1ac6..62629417 100644 --- a/examples/ex5/mps95Movie.py +++ b/examples/ex5/mps95Movie.py @@ -103,7 +103,7 @@ # # create a new 'PVD Reader' coarse_brain_test_ptpvd = PVDReader(FileName=paraviewFile) -coarse_brain_test_ptpvd.CellArrays = ['PartID', 'AvgStrain', 'ProcID', 'CSDM-15', 'CSDM-30', 'PSR-120', 'PSxSR-28', 'MPS-95'] +coarse_brain_test_ptpvd.CellArrays = ['PartID', 'AvgStrain', 'ProcID', 'CSDM-5', 'CSDM-10', 'CSDM-15', 'CSDM-30', 'MPSR-120', 'MPSxSR-28', 'MPS-95'] coarse_brain_test_ptpvd.PointArrays = ['Displacements', 'Accelerations', 'Boundary'] # get animation scene @@ -199,4 +199,4 @@ renderView1.CameraParallelScale = defaultCameraParallelScale # save animation -SaveAnimation('injury_'+uid+'.png', renderView1, ImageResolution=[1538, 838], FrameWindow=[0, 50]) +SaveAnimation('injury_'+uid+'.png', renderView1, ImageResolution=[1538, 838]) From 59bc55e0d0ffeb0209a3c029e872ca15476a3582 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 2 Oct 2020 11:02:05 +0530 Subject: [PATCH 010/106] Dockerfile changes because of rate limit issues on travis --- .travis.yml | 2 +- Dockerfile | 1 - 2 files changed, 1 insertion(+), 2 deletions(-) diff --git a/.travis.yml b/.travis.yml index 5d5224c0..5f0c4ac2 100644 --- a/.travis.yml +++ b/.travis.yml @@ -62,7 +62,7 @@ script: - if [ "$TRAVIS_BRANCH" = "develop" ] || [ "$TRAVIS_BRANCH" = "CI" ]; then cd ../../..; mkdir builddocker; - docker build --build-arg BRANCH=$TRAVIS_BRANCH --build-arg PARCH=$EC2ARCH --pull --cache-from $DOCKER_REPO:develop --target buildFemTech --tag $DOCKER_REPO:develop -f Dockerfile builddocker || travis_terminate 1; + docker build --build-arg BRANCH=$TRAVIS_BRANCH --build-arg PARCH=$EC2ARCH --pull --no-cache --target buildFemTech --tag $DOCKER_REPO:develop -f Dockerfile builddocker || travis_terminate 1; docker run --name testFemTech -it --rm $DOCKER_REPO:develop /bin/bash -c "cd /home/ubuntu/FemTech/build_native/examples/ex5/;bash test_ex5.sh" || travis_terminate 1; docker build --build-arg BRANCH=$TRAVIS_BRANCH --build-arg PARCH=$EC2ARCH --pull --cache-from $DOCKER_REPO:develop --cache-from $DOCKER_REPO:production --tag $DOCKER_REPO:production -f Dockerfile builddocker; fi diff --git a/Dockerfile b/Dockerfile index 7f858589..af296e27 100644 --- a/Dockerfile +++ b/Dockerfile @@ -16,7 +16,6 @@ USER ubuntu WORKDIR /home/ubuntu # Setup FemTech -ADD https://api.github.com/repos/PSUCompBio/FemTech/git/refs/heads/$BRANCH version.json RUN git clone --single-branch --branch $BRANCH https://github.com/PSUCompBio/FemTech RUN mkdir FemTech/build_native RUN cd FemTech/build_native;cmake .. -DEXAMPLES=ON -DEXAMPLE5=ON; make -j 8; From c305c725ddca0942e325388d14a33a2f011392d2 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 8 Oct 2020 12:03:19 +0530 Subject: [PATCH 011/106] Added option for pre trigger. Updated inputs to have uniform time in acc --- examples/ex5/ex5.cpp | 13 +- examples/ex5/input_test_pt.json | 204 +++++++++++++++++++------------- examples/ex5/input_test_x.json | 204 +++++++++++++++++++------------- examples/ex5/test_ex5.sh | 4 +- 4 files changed, 259 insertions(+), 166 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index f55cec97..27e8869d 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -19,7 +19,7 @@ using namespace boost::numeric::odeint; /*Declare Functions*/ void CustomPlot(); void InitCustomPlot(const Json::Value& jsonInput); -void InitBoundaryCondition(const Json::Value& jsonInput); +double InitBoundaryCondition(const Json::Value& jsonInput); void InitInjuryCriterion(void); void updateBoundaryNeighbour(void); void ApplyAccBoundaryConditions(); @@ -157,10 +157,9 @@ int main(int argc, char **argv) { // Initial settings for BC evaluations // Used if initial velocity and acceleration BC is to be set. - InitBoundaryCondition(simulationJson); + Time = InitBoundaryCondition(simulationJson); /* Write inital, undeformed configuration*/ - Time = 0.0; int plot_counter = 0; if (writeField) { WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, \ @@ -190,7 +189,7 @@ int main(int argc, char **argv) { /* Step-3: Calculate accelerations */ CalculateAccelerations(); - nSteps = (int)(tMax / dt); + nSteps = (int)((tMax-Time) / dt); int nsteps_plot = (int)(nSteps / nPlotSteps); if (nsteps_plot == 0) { nsteps_plot = nSteps; @@ -565,8 +564,9 @@ void CustomPlot() { return; } -void InitBoundaryCondition(const Json::Value& jsonInput) { +double InitBoundaryCondition(const Json::Value& jsonInput) { static const double gC = 9.81; + double startTime = 0.0; // Read input JSON for acceleration values if (jsonInput["linear-acceleration"].isObject()) { // Use time traces from file // Read linear acceleration and angular acceleration time traces @@ -637,6 +637,7 @@ void InitBoundaryCondition(const Json::Value& jsonInput) { for (int i = 0; i < angAccZSize; ++i) { angAccZt[i] = 0.001*angAccZt[i]; } + startTime = linAccXt[0]; } else { // Read maximum values from input file double accMax[3]; accMax[0] = gC*jsonInput["linear-acceleration"][0].asDouble(); @@ -891,7 +892,7 @@ void InitBoundaryCondition(const Json::Value& jsonInput) { accelerations[index+j] = 0.0; } } - return; + return startTime; } void updateBoundaryNeighbour(void) { diff --git a/examples/ex5/input_test_pt.json b/examples/ex5/input_test_pt.json index 9d971406..6b3c9d9a 100644 --- a/examples/ex5/input_test_pt.json +++ b/examples/ex5/input_test_pt.json @@ -7,86 +7,132 @@ "simulation": { "mesh" : "coarse_brain.inp", "linear-acceleration": { - "xt": [ 0.0, 5.1331, 5.573, 6.0129, 6.3428, 7.9928, 8.4327, 8.7993, 10.1184, 11.364, 11.767, 12.2432, 12.5363, 13.4519, 13.8181, - 14.2208, 14.6603, 15.0999, 15.5396, 15.9795, 16.4195, 16.8597, 17.3, 17.7403, 18.144, 18.5477, 18.8413, 20.067, 20.5292, 20.9693, - 21.4092, 21.849, 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Thu, 8 Oct 2020 13:52:34 +0530 Subject: [PATCH 012/106] Update in test --- examples/ex5/test_ex5.sh | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/ex5/test_ex5.sh b/examples/ex5/test_ex5.sh index 139031c7..de5f7a42 100755 --- a/examples/ex5/test_ex5.sh +++ b/examples/ex5/test_ex5.sh @@ -11,9 +11,9 @@ testInputFiles=( p1 pt x s ) # Values of element id expected in the order, max-shear, min-principal, # max-principal value_p1=( 9821 7323 10243 ) -value_pt=( 4749 16263 4749 ) +value_pt=( 10223 10223 10223 ) value_s=( 15186 12602 15186 ) -value_x=( 4419 9769 9774 ) +value_x=( 7740 7740 7740 ) # Run all tests and check output for name in "${testInputFiles[@]}" From 1297cf2784e16f9de0b188f4868af80487e008c1 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 9 Oct 2020 12:28:08 +0530 Subject: [PATCH 013/106] Moved output update to femtech from multiviewport --- Dockerfile | 3 + examples/ex5/CMakeLists.txt | 3 + examples/ex5/coarse_cellcentres.txt | 17030 ++++ examples/ex5/fine_cellcentres.txt | 104296 +++++++++++++++++++++++++ examples/ex5/updateOutputJson.py | 65 + 5 files changed, 121397 insertions(+) create mode 100644 examples/ex5/coarse_cellcentres.txt create mode 100644 examples/ex5/fine_cellcentres.txt create mode 100644 examples/ex5/updateOutputJson.py diff --git a/Dockerfile b/Dockerfile index af296e27..3e14118e 100644 --- a/Dockerfile +++ b/Dockerfile @@ -55,6 +55,9 @@ COPY --from=buildFemTech ["/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/ex5" "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/simulationMovie.py", \ "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/mps95Movie.py", \ "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/addGraph.py", \ + "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/fine_cellcenters.txt", \ + "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/fine_cellcenters.txt", \ + "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/updateOutputJson.py", \ "/home/ubuntu/FemTechRun/"] # To create image : docker build --pull --cache-from nsfcareer/femtech:develop --cache-from nsfcareer/femtech:production --tag nsfcareer/femtech:production -f Dockerfile . diff --git a/examples/ex5/CMakeLists.txt b/examples/ex5/CMakeLists.txt index 07a290f5..ab3c1b91 100644 --- a/examples/ex5/CMakeLists.txt +++ b/examples/ex5/CMakeLists.txt @@ -19,6 +19,9 @@ file(INSTALL input_test_p1.json DESTINATION .) file(INSTALL input_test_pt.json DESTINATION .) file(INSTALL input_test_s.json DESTINATION .) file(INSTALL input_test_x.json DESTINATION .) +file(INSTALL coarse_cellcentres.txt DESTINATION .) +file(INSTALL fine_cellcentres.txt DESTINATION .) +file(INSTALL updateOutputJson.py DESTINATION .) file(INSTALL gnuplot.script DESTINATION .) file(INSTALL gnuplotEnergy.script DESTINATION .) file(INSTALL README.md DESTINATION .) diff --git a/examples/ex5/coarse_cellcentres.txt b/examples/ex5/coarse_cellcentres.txt new file mode 100644 index 00000000..c2ce29e2 --- /dev/null +++ b/examples/ex5/coarse_cellcentres.txt @@ 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+104290 -0.00115537 -0.391927 -0.0522931 frontal +104291 -0.0011555 -0.391925 -0.0499802 frontal +104292 -0.0011555 -0.391924 -0.047668 frontal +104293 -0.0011555 -0.391923 -0.045356 frontal +104294 -0.0011555 -0.391922 -0.0430445 frontal +104295 -0.0011555 -0.391922 -0.0407332 frontal +104296 -0.01734 -0.360861 -0.0199345 frontal diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py new file mode 100644 index 00000000..9b6f81ff --- /dev/null +++ b/examples/ex5/updateOutputJson.py @@ -0,0 +1,65 @@ +import sys +import json +import linecache +import numpy as np + +jsonInputFile = sys.argv[1] +inputJson = json.loads(open(jsonInputFile).read()) +uid = inputJson["uid"] +jsonOutputFile = uid + '_output.json' +linearAcc = inputJson['simulation']['linear-acceleration'] +angularAcc = inputJson['simulation']['angular-acceleration'] + +if 'xt' in linearAcc: + maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 + maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) +else: + maxG = np.sqrt(np.array(linearAcc[0])**2+np.array(linearAcc[1])**2+np.array(linearAcc[2])**2) + if isinstance(angularAcc, list): + maxT = np.sqrt(np.array(angularAcc[0])**2+np.array(angularAcc[1])**2+np.array(angularAcc[2])**2) + else: + maxT = np.fabs(angularAcc) + +outputJson = json.loads(open(jsonOutputFile).read()) +meshType = outputJson["output-file"].split('_')[0] +cellDataFile = meshType + '_cellcentres.txt' + +# Part list +partList = ["msc", "stem", "cerebellum", "frontal", "parietal", "occipital", + "temporal"] + +# Populate region from cell centres file +maxInjuryMetrics = ["principal-max-strain", "principal-min-strain", + "maximum-shear-strain", "maximum-PSxSR"]; +threshInjuryMetrics = ["CSDM-10", "CSDM-15", "CSDM-30", "CSDM-5", + "MPS-95"]; + +# Loop over metric with single element output +for metric in maxInjuryMetrics: + maxLocation = int(outputJson[metric]["global-element-id"]) + maxLine = linecache.getline(cellDataFile, maxLocation).split() + outputJson[metric]["brain-region"] = maxLine[4] + # overwrite location with femtech-reference co-ordinate + outputJson[metric]["location"] = \ + [float(maxLine[1]), float(maxLine[2]), float(maxLine[3])] + outputJson[metric].pop("global-element-id", None) + +# Loop over metric with multiple element output +for metric in threshInjuryMetrics: + maxLocation = outputJson[metric]["global-element-id"] + for part in partList: + outputJson[metric][part] = [] + for loc in maxLocation: + maxLine = linecache.getline(cellDataFile, int(loc)).split() + outputJson[metric][maxLine[4]].append([float(maxLine[1]), \ + float(maxLine[2]), float(maxLine[3])]) + outputJson[metric].pop("global-element-id", None) + +# Add max quantities +outputJson["max-linear-acc-g"] = maxG +outputJson["max-angular-acc-rads2"] = maxT + +# jstr = json.dumps(outputJson, indent = 2, sort_keys=False) +# print(jstr) +with open(jsonOutputFile, 'w') as outfile: + json.dump(outputJson, outfile, indent = 2, sort_keys=False) From 4e91996dbcf3122539f300857c933d6ce6998113 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 9 Oct 2020 12:28:08 +0530 Subject: [PATCH 014/106] Moved output update to femtech from multiviewport --- Dockerfile | 3 + examples/ex5/CMakeLists.txt | 3 + examples/ex5/coarse_cellcentres.txt | 17030 ++++ examples/ex5/fine_cellcentres.txt | 104296 +++++++++++++++++++++++++ examples/ex5/updateOutputJson.py | 65 + 5 files changed, 121397 insertions(+) create mode 100644 examples/ex5/coarse_cellcentres.txt create mode 100644 examples/ex5/fine_cellcentres.txt create mode 100644 examples/ex5/updateOutputJson.py diff --git a/Dockerfile b/Dockerfile index af296e27..8387b936 100644 --- a/Dockerfile +++ b/Dockerfile @@ -55,6 +55,9 @@ COPY --from=buildFemTech ["/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/ex5" "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/simulationMovie.py", \ "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/mps95Movie.py", \ "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/addGraph.py", \ + "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/fine_cellcenters.txt", \ + "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/coarse_cellcentres.txt", \ + "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/updateOutputJson.py", \ "/home/ubuntu/FemTechRun/"] # To create image : docker build --pull --cache-from nsfcareer/femtech:develop --cache-from nsfcareer/femtech:production --tag nsfcareer/femtech:production -f Dockerfile . diff --git a/examples/ex5/CMakeLists.txt b/examples/ex5/CMakeLists.txt index 07a290f5..ab3c1b91 100644 --- a/examples/ex5/CMakeLists.txt +++ b/examples/ex5/CMakeLists.txt @@ -19,6 +19,9 @@ file(INSTALL input_test_p1.json DESTINATION .) file(INSTALL input_test_pt.json DESTINATION .) file(INSTALL input_test_s.json DESTINATION .) file(INSTALL input_test_x.json DESTINATION .) +file(INSTALL coarse_cellcentres.txt DESTINATION .) +file(INSTALL fine_cellcentres.txt DESTINATION .) +file(INSTALL updateOutputJson.py DESTINATION .) file(INSTALL gnuplot.script DESTINATION .) file(INSTALL gnuplotEnergy.script DESTINATION .) file(INSTALL README.md DESTINATION .) diff --git a/examples/ex5/coarse_cellcentres.txt b/examples/ex5/coarse_cellcentres.txt new file mode 100644 index 00000000..c2ce29e2 --- /dev/null +++ b/examples/ex5/coarse_cellcentres.txt @@ -0,0 +1,17030 @@ +1 0.00207462 -0.419639 -0.0536541 skull +2 0.00240987 -0.418591 -0.0573037 skull +3 0.00177187 -0.304735 0.0133586 skull +4 0.0056635 -0.304458 0.0133145 skull +5 0.00504925 -0.305655 0.00675838 skull +6 0.00157387 -0.306005 0.0070385 skull +7 0.00177025 -0.306507 0.018342 skull +8 0.00553863 -0.306082 0.0188312 skull +9 0.0014265 -0.30923 0.0230394 skull +10 0.004254 -0.309137 0.0238525 skull +11 0.0106371 -0.419695 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b/examples/ex5/updateOutputJson.py @@ -0,0 +1,65 @@ +import sys +import json +import linecache +import numpy as np + +jsonInputFile = sys.argv[1] +inputJson = json.loads(open(jsonInputFile).read()) +uid = inputJson["uid"] +jsonOutputFile = uid + '_output.json' +linearAcc = inputJson['simulation']['linear-acceleration'] +angularAcc = inputJson['simulation']['angular-acceleration'] + +if 'xt' in linearAcc: + maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 + maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) +else: + maxG = np.sqrt(np.array(linearAcc[0])**2+np.array(linearAcc[1])**2+np.array(linearAcc[2])**2) + if isinstance(angularAcc, list): + maxT = np.sqrt(np.array(angularAcc[0])**2+np.array(angularAcc[1])**2+np.array(angularAcc[2])**2) + else: + maxT = np.fabs(angularAcc) + +outputJson = json.loads(open(jsonOutputFile).read()) +meshType = outputJson["output-file"].split('_')[0] +cellDataFile = meshType + '_cellcentres.txt' + +# Part list +partList = ["msc", "stem", "cerebellum", "frontal", "parietal", "occipital", + "temporal"] + +# Populate region from cell centres file +maxInjuryMetrics = ["principal-max-strain", "principal-min-strain", + "maximum-shear-strain", "maximum-PSxSR"]; +threshInjuryMetrics = ["CSDM-10", "CSDM-15", "CSDM-30", "CSDM-5", + "MPS-95"]; + +# Loop over metric with single element output +for metric in maxInjuryMetrics: + maxLocation = int(outputJson[metric]["global-element-id"]) + maxLine = linecache.getline(cellDataFile, maxLocation).split() + outputJson[metric]["brain-region"] = maxLine[4] + # overwrite location with femtech-reference co-ordinate + outputJson[metric]["location"] = \ + [float(maxLine[1]), float(maxLine[2]), float(maxLine[3])] + outputJson[metric].pop("global-element-id", None) + +# Loop over metric with multiple element output +for metric in threshInjuryMetrics: + maxLocation = outputJson[metric]["global-element-id"] + for part in partList: + outputJson[metric][part] = [] + for loc in maxLocation: + maxLine = linecache.getline(cellDataFile, int(loc)).split() + outputJson[metric][maxLine[4]].append([float(maxLine[1]), \ + float(maxLine[2]), float(maxLine[3])]) + outputJson[metric].pop("global-element-id", None) + +# Add max quantities +outputJson["max-linear-acc-g"] = maxG +outputJson["max-angular-acc-rads2"] = maxT + +# jstr = json.dumps(outputJson, indent = 2, sort_keys=False) +# print(jstr) +with open(jsonOutputFile, 'w') as outfile: + json.dump(outputJson, outfile, indent = 2, sort_keys=False) From d2eb252d0c26a0bda5b365d15349e35203f3556d Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 11 Oct 2020 07:59:52 +0530 Subject: [PATCH 015/106] Updated formatting of ex5 code with clang --- examples/ex5/ex5.cpp | 714 ++++++++++++++++++++++++------------------- 1 file changed, 405 insertions(+), 309 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 27e8869d..8a6ae899 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -4,12 +4,12 @@ #include "json/writer.h" -#include -#include +#include #include // For JSON output -#include // For JSON output unique pointer +#include #include -#include +#include // For JSON output unique pointer +#include #include @@ -18,15 +18,15 @@ using namespace boost::numeric::odeint; /*Declare Functions*/ void CustomPlot(); -void InitCustomPlot(const Json::Value& jsonInput); -double InitBoundaryCondition(const Json::Value& jsonInput); +void InitCustomPlot(const Json::Value &jsonInput); +double InitBoundaryCondition(const Json::Value &jsonInput); void InitInjuryCriterion(void); void updateBoundaryNeighbour(void); void ApplyAccBoundaryConditions(); int getImpactID(std::string location); void WriteOutputFile(); void CalculateInjuryCriterions(void); -void TransformMesh(const Json::Value& jsonInput); +void TransformMesh(const Json::Value &jsonInput); /* Global Variables/Parameters */ double Time, dt; @@ -60,14 +60,16 @@ double *outputElemStress; /* Variables for injury metrics */ /* Variables to compute maximum quatities over time and space */ -/* 0. Maximum principal strain, 1. Maximum principal shear, +/* 0. Maximum principal strain, 1. Maximum principal shear, * 2. Maximum principal strain times strain rate * 3. Minimum principal strain * */ -const int maxQuantities = 4; -const std::string maxOutput[maxQuantities] = {"principal-max-strain", "maximum-shear-strain", \ - "maximum-PSxSR", "principal-min-strain"}; -const MPI_Op outputOperator[maxQuantities] = {MPI_MAXLOC, MPI_MAXLOC, MPI_MAXLOC, MPI_MINLOC}; +const int maxQuantities = 4; +const std::string maxOutput[maxQuantities] = { + "principal-max-strain", "maximum-shear-strain", "maximum-PSxSR", + "principal-min-strain"}; +const MPI_Op outputOperator[maxQuantities] = {MPI_MAXLOC, MPI_MAXLOC, + MPI_MAXLOC, MPI_MINLOC}; double maxValue[maxQuantities], maxTime[maxQuantities]; int maxElem[maxQuantities]; @@ -82,7 +84,7 @@ double percentileTime[percentileQuantities]; double percentileValue[percentileQuantities]; const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95"}; /* Threshold variables */ -/* 0. MPS > 5 +/* 0. MPS > 5 * 1. MPS > 10 * 2. MPS > 15 * 3. MPS > 30 @@ -91,8 +93,8 @@ const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95"}; */ const int threshQuantities = 6; int *thresholdElements[threshQuantities]; -const std::string thresholdTag[threshQuantities] = {"CSDM-5", "CSDM-10", \ - "CSDM-15", "CSDM-30", "MPSR-120", "MPSxSR-28"}; +const std::string thresholdTag[threshQuantities] = { + "CSDM-5", "CSDM-10", "CSDM-15", "CSDM-30", "MPSR-120", "MPSxSR-28"}; /* Variables for maximum Principal Strain times Strain Rate */ double *PS_Old = NULL; @@ -107,8 +109,9 @@ const int injuryExcludePID[injuryExcludePIDCount] = {0, 1}; // Variables to write injury criterion to Paraview output const int outputCount = 7; int *outputDataArray[outputCount]; -const char* outputNames[outputCount] ={"CSDM-5", "CSDM-10", "CSDM-15", \ - "CSDM-30", "MPSR-120", "MPSxSR-28", "MPS-95"}; +const char *outputNames[outputCount] = {"CSDM-5", "CSDM-10", "CSDM-15", + "CSDM-30", "MPSR-120", "MPSxSR-28", + "MPS-95"}; const int csdmCount = 4; const double csdmLimits[csdmCount] = {0.05, 0.1, 0.15, 0.3}; @@ -135,7 +138,8 @@ int main(int argc, char **argv) { Json::Value simulationJson = inputJson["simulation"]; std::string meshFile = simulationJson["mesh"].asString(); - tMax = simulationJson["maximum-time"].asDouble()/1000.0; // Convert to seconds + tMax = + simulationJson["maximum-time"].asDouble() / 1000.0; // Convert to seconds if (!simulationJson["write-vtu"].empty()) { writeField = simulationJson["write-vtu"].asBool(); } @@ -144,7 +148,7 @@ int main(int argc, char **argv) { ReadInputFile(meshFile.c_str()); size_t lastindex = meshFile.find_last_of("."); outputFileName = meshFile.substr(0, lastindex) + "_" + uid; - // Read material properties before mesh partition to estimate + // Read material properties before mesh partition to estimate // material type kernel compute intensity ReadMaterials(); @@ -162,8 +166,8 @@ int main(int argc, char **argv) { /* Write inital, undeformed configuration*/ int plot_counter = 0; if (writeField) { - WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, \ - outputCount, outputNames); + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, + outputNames); WritePVD(outputFileName.c_str(), plot_counter); } stepTime[plot_counter] = Time; @@ -189,7 +193,7 @@ int main(int argc, char **argv) { /* Step-3: Calculate accelerations */ CalculateAccelerations(); - nSteps = (int)((tMax-Time) / dt); + nSteps = (int)((tMax - Time) / dt); int nsteps_plot = (int)(nSteps / nPlotSteps); if (nsteps_plot == 0) { nsteps_plot = nSteps; @@ -199,21 +203,22 @@ int main(int argc, char **argv) { nsteps_write = nSteps; } - FILE_LOG_MASTER(INFO, "initial dt = %3.3e, nSteps = %d, nsteps_plot = %d", dt, nSteps, - nsteps_plot); + FILE_LOG_MASTER(INFO, "initial dt = %3.3e, nSteps = %d, nsteps_plot = %d", dt, + nSteps, nsteps_plot); time_step_counter = time_step_counter + 1; double t_n = 0.0; - FILE_LOG_MASTER(INFO, "------------------------------- Loop ----------------------------"); + FILE_LOG_MASTER(INFO, + "------------------------------- Loop ----------------------------"); FILE_LOG_MASTER(INFO, "Time : %15.6e, tmax : %15.6e", Time, tMax); /* Step-4: Time loop starts....*/ while (Time < tMax) { t_n = Time; double t_np1 = Time + dt; - Time = t_np1; /*Update the time by adding full time step */ - double dt_nphalf = dt; // equ 6.2.1 + Time = t_np1; /*Update the time by adding full time step */ + double dt_nphalf = dt; // equ 6.2.1 double t_nphalf = 0.5 * (t_np1 + t_n); // equ 6.2.1 /* Step 5 from Belytschko Box 6.1 - Update velocity */ @@ -256,8 +261,8 @@ int main(int argc, char **argv) { } /** Step - 11 Checking* Energy Balance */ - int writeFlag = time_step_counter%nsteps_plot; - int writeFileFlag = time_step_counter%nsteps_write; + int writeFlag = time_step_counter % nsteps_plot; + int writeFileFlag = time_step_counter % nsteps_write; CheckEnergy(Time, writeFlag); CalculateInjuryCriterions(); @@ -265,19 +270,21 @@ int main(int argc, char **argv) { CustomPlot(); } if (writeFlag == 0) { - FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, tMax); + FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, + tMax); plot_counter = plot_counter + 1; if (plot_counter < MAXPLOTSTEPS) { stepTime[plot_counter] = Time; if (writeField) { FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); - WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, \ - outputCount, outputNames); + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, + outputCount, outputNames); WritePVD(outputFileName.c_str(), plot_counter); } } - FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, "Displacement Solution"); + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Displacement Solution"); } time_step_counter = time_step_counter + 1; dt = ExplicitTimeStepReduction * StableTimeStep(); @@ -286,12 +293,13 @@ int main(int argc, char **argv) { MPI_Barrier(MPI_COMM_WORLD); } // end explcit while loop // Write output if last step results not written - int writeFileFlag = (time_step_counter-1)%nsteps_write; + int writeFileFlag = (time_step_counter - 1) % nsteps_write; if (writeFileFlag != 0) { CustomPlot(); } FILE_LOG_MASTER(INFO, "End of Iterative Loop"); - FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, "Final Displacement Solution"); + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Final Displacement Solution"); WriteOutputFile(); // Free local boundary condition related arrays @@ -330,24 +338,36 @@ int main(int argc, char **argv) { } void ApplyAccBoundaryConditions() { - double r[4], R[4], Rinv[4], V[4], Vp[4]; //quaternions - double omegaR[3], omega[3], omegaOmegaR[3], omegaVel[3], vel[3]; //vectors + double r[4], R[4], Rinv[4], V[4], Vp[4]; // quaternions + double omegaR[3], omega[3], omegaOmegaR[3], omegaVel[3], vel[3]; // vectors double alpha[3], alphaR[3], locV[3]; - rk.do_step(computeDerivatives, yInt, ydotInt, Time-dt, dt); - r[0] = 0.0; r[1] = yInt[3]; r[2] = yInt[4]; r[3] = yInt[5]; + rk.do_step(computeDerivatives, yInt, ydotInt, Time - dt, dt); + r[0] = 0.0; + r[1] = yInt[3]; + r[2] = yInt[4]; + r[3] = yInt[5]; quaternionExp(r, R); // R = exp(r) quaternionInverse(R, Rinv); - omega[0] = yInt[0]; omega[1] = yInt[1]; omega[2] = yInt[2]; - alpha[0] = ydotInt[0]; alpha[1] = ydotInt[1]; alpha[2] = ydotInt[2]; - vel[0] = yInt[6]; vel[1] = yInt[7]; vel[2] = yInt[8]; + omega[0] = yInt[0]; + omega[1] = yInt[1]; + omega[2] = yInt[2]; + alpha[0] = ydotInt[0]; + alpha[1] = ydotInt[1]; + alpha[2] = ydotInt[2]; + vel[0] = yInt[6]; + vel[1] = yInt[7]; + vel[2] = yInt[8]; for (int i = 0; i < boundarySize; i++) { int index = boundaryID[i] * ndim; for (int j = 0; j < ndim; ++j) { locV[j] = coordinates[index + j]; } - V[0] = 0.0; V[1] = locV[0]; V[2] = locV[1]; V[3] = locV[2]; + V[0] = 0.0; + V[1] = locV[0]; + V[2] = locV[1]; + V[3] = locV[2]; quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} crossProduct(omega, &(Vp[1]), omegaR); crossProduct(omega, omegaR, omegaOmegaR); @@ -355,11 +375,12 @@ void ApplyAccBoundaryConditions() { crossProduct(alpha, &(Vp[1]), alphaR); for (int j = 0; j < ndim; ++j) { // Displacement - displacements[index+j] = Vp[j+1] - locV[j] + yInt[9+j]; + displacements[index + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; // Velocity - velocities[index+j] = omegaR[j] + yInt[6+j]; + velocities[index + j] = omegaR[j] + yInt[6 + j]; // Acceleration - accelerations[index+j] = 2.0*omegaVel[j] + omegaOmegaR[j] + ydotInt[6+j] + alphaR[j]; + accelerations[index + j] = + 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; } } // Rotate points to plot to obtain their rigid displacements @@ -370,25 +391,28 @@ void ApplyAccBoundaryConditions() { for (int j = 0; j < ndim; ++j) { locV[j] = coordinates[index + j]; } - V[0] = 0.0; V[1] = locV[0]; V[2] = locV[1]; V[3] = locV[2]; + V[0] = 0.0; + V[1] = locV[0]; + V[2] = locV[1]; + V[3] = locV[2]; quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} for (int j = 0; j < ndim; ++j) { // Displacement - outputNodeRigidDisp[index1+j] = Vp[j+1] - locV[j] + yInt[9+j]; + outputNodeRigidDisp[index1 + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; } } } return; } -void InitCustomPlot(const Json::Value& jsonInput) { +void InitCustomPlot(const Json::Value &jsonInput) { rankForCustomPlot = false; if (!jsonInput["output-nodes"].empty()) { int outputSize = jsonInput["output-nodes"].size(); - int *outputNodes = (int*)malloc(outputSize*sizeof(int)); - int *outputLocalNodes = (int*)malloc(outputSize*sizeof(int)); - int *containsNode = (int*)calloc(outputSize, sizeof(int)); - int *containsNodeCum = (int*)calloc(outputSize, sizeof(int)); + int *outputNodes = (int *)malloc(outputSize * sizeof(int)); + int *outputLocalNodes = (int *)malloc(outputSize * sizeof(int)); + int *containsNode = (int *)calloc(outputSize, sizeof(int)); + int *containsNodeCum = (int *)calloc(outputSize, sizeof(int)); // Store input node list to array jsonToArrayInt(outputNodes, jsonInput["output-nodes"]); @@ -404,13 +428,14 @@ void InitCustomPlot(const Json::Value& jsonInput) { } } // If multiple procs have same node use the lowest rank - MPI_Scan(containsNode, containsNodeCum, outputSize, MPI_INT, MPI_SUM, MPI_COMM_WORLD); + MPI_Scan(containsNode, containsNodeCum, outputSize, MPI_INT, MPI_SUM, + MPI_COMM_WORLD); for (int i = 0; i < outputSize; ++i) { if (containsNode[i] == 1 && containsNodeCum[i] == 1) { outputNodeCount = outputNodeCount + 1; } } - outputNodeList = (int*)malloc(outputNodeCount*sizeof(int)); + outputNodeList = (int *)malloc(outputNodeCount * sizeof(int)); int currentIndex = 0; for (int i = 0; i < outputSize; ++i) { if (containsNode[i] == 1 && containsNodeCum[i] == 1) { @@ -428,14 +453,17 @@ void InitCustomPlot(const Json::Value& jsonInput) { free(containsNodeCum); for (int i = 0; i < outputNodeCount; ++i) { int nodeL = outputNodeList[i]; - FILE_LOG_SINGLE(INFO, "Node ID : %d (%15.9e, %15.9e, %15.9e)", globalNodeID[nodeL], coordinates[nodeL*ndim], coordinates[nodeL*ndim+1], coordinates[nodeL*ndim+2]); + FILE_LOG_SINGLE(INFO, "Node ID : %d (%15.9e, %15.9e, %15.9e)", + globalNodeID[nodeL], coordinates[nodeL * ndim], + coordinates[nodeL * ndim + 1], + coordinates[nodeL * ndim + 2]); } - } + } if (!jsonInput["output-elements"].empty()) { int outputSize = jsonInput["output-elements"].size(); - int *outputElements = (int*)malloc(outputSize*sizeof(int)); - int *outputLocalElements = (int*)malloc(outputSize*sizeof(int)); - int *containsElement = (int*)calloc(outputSize, sizeof(int)); + int *outputElements = (int *)malloc(outputSize * sizeof(int)); + int *outputLocalElements = (int *)malloc(outputSize * sizeof(int)); + int *containsElement = (int *)calloc(outputSize, sizeof(int)); // Store input node list to array jsonToArrayInt(outputElements, jsonInput["output-elements"]); @@ -455,7 +483,7 @@ void InitCustomPlot(const Json::Value& jsonInput) { } if (outputElemCount > 0) { rankForCustomPlot = true; - outputElemList = (int*)malloc(sizeof(int)*outputElemCount); + outputElemList = (int *)malloc(sizeof(int) * outputElemCount); int currentIndex = 0; for (int i = 0; i < outputSize; ++i) { if (containsElement[i]) { @@ -482,63 +510,75 @@ void InitCustomPlot(const Json::Value& jsonInput) { // Get the rank of the process in output communicator MPI_Comm_rank(output_comm, &output_rank); // Open output file and write header - std::string outFileStr = "plot_"+ uid + ".dat"; + std::string outFileStr = "plot_" + uid + ".dat"; MPI_Info infoin; MPI_Info_create(&infoin); MPI_Info_set(infoin, "access_style", "write_once,random"); const char *outFileName = outFileStr.c_str(); int err; - err = MPI_File_open(output_comm, outFileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &outputFilePtr); + err = MPI_File_open(output_comm, outFileName, + MPI_MODE_EXCL | MPI_MODE_WRONLY | MPI_MODE_CREATE, + infoin, &outputFilePtr); if (err != MPI_SUCCESS) { if (output_rank == 0) { MPI_File_delete(outFileName, MPI_INFO_NULL); } MPI_Barrier(output_comm); - err = MPI_File_open(output_comm, outFileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &outputFilePtr); + err = MPI_File_open(output_comm, outFileName, + MPI_MODE_EXCL | MPI_MODE_WRONLY | MPI_MODE_CREATE, + infoin, &outputFilePtr); if (err != MPI_SUCCESS) { FILE_LOG_SINGLE(ERROR, "Unable to open file to write co-ordinates"); TerminateFemTech(10); } } - // Write the header - char *outputHeader = (char*)malloc(sizeof(char)*(10+outputNodeCount*60+outputElemCount*40)); + // Write the header + char *outputHeader = (char *)malloc( + sizeof(char) * (10 + outputNodeCount * 60 + outputElemCount * 40)); outputHeader[0] = 0; if (output_rank == 0) { sprintf(outputHeader, "#Time"); - } + } for (int i = 0; i < outputNodeCount; ++i) { int globalN = globalNodeID[outputNodeList[i]]; - sprintf(outputHeader, "%s Node%08d-DispX Node%08d-DispY Node%08d-DispZ", outputHeader, globalN, globalN, globalN); + sprintf(outputHeader, "%s Node%08d-DispX Node%08d-DispY Node%08d-DispZ", + outputHeader, globalN, globalN, globalN); } for (int i = 0; i < outputElemCount; ++i) { int globalE = global_eid[outputElemList[i]]; - sprintf(outputHeader, "%s Elem%08d-StreP Elem%08d-StreS", outputHeader, globalE, globalE); + sprintf(outputHeader, "%s Elem%08d-StreP Elem%08d-StreS", outputHeader, + globalE, globalE); } - if (output_rank == (output_size-1)) { + if (output_rank == (output_size - 1)) { sprintf(outputHeader, "%s\n", outputHeader); } - MPI_File_write_ordered(outputFilePtr, outputHeader, strlen(outputHeader), MPI_CHAR, MPI_STATUS_IGNORE); + MPI_File_write_ordered(outputFilePtr, outputHeader, strlen(outputHeader), + MPI_CHAR, MPI_STATUS_IGNORE); free(outputHeader); - outputNodeRigidDisp = (double*)calloc(outputNodeCount*ndim, sizeof(double)); + outputNodeRigidDisp = + (double *)calloc(outputNodeCount * ndim, sizeof(double)); } return; } void CustomPlot() { if (rankForCustomPlot) { - // Write the output - char *output = (char*)malloc(sizeof(char)*(17+outputNodeCount*51+outputElemCount*34)); + // Write the output + char *output = (char *)malloc( + sizeof(char) * (17 + outputNodeCount * 51 + outputElemCount * 34)); output[0] = 0; if (output_rank == 0) { sprintf(output, "%15.9e", Time); - } + } for (int i = 0; i < outputNodeCount; ++i) { - unsigned int plotNode = outputNodeList[i]*ndim; - unsigned int plotIndex = i*ndim; - double xCord = displacements[plotNode]-outputNodeRigidDisp[plotIndex]; - double yCord = displacements[plotNode+1]-outputNodeRigidDisp[plotIndex+1]; - double zCord = displacements[plotNode+2]-outputNodeRigidDisp[plotIndex+2]; + unsigned int plotNode = outputNodeList[i] * ndim; + unsigned int plotIndex = i * ndim; + double xCord = displacements[plotNode] - outputNodeRigidDisp[plotIndex]; + double yCord = + displacements[plotNode + 1] - outputNodeRigidDisp[plotIndex + 1]; + double zCord = + displacements[plotNode + 2] - outputNodeRigidDisp[plotIndex + 2]; sprintf(output, "%s %15.9e %15.9e %15.9e", output, xCord, yCord, zCord); } double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; @@ -546,45 +586,48 @@ void CustomPlot() { unsigned int plotElem = outputElemList[i]; // Recalculation to decouple from Injury criterion if (materialID[pid[plotElem]] != 0) { - CalculateMaximumPrincipalStrain(plotElem, ¤tStrainMaxElem, \ - ¤tStrainMinElem, ¤tShearMaxElem); + CalculateMaximumPrincipalStrain(plotElem, ¤tStrainMaxElem, + ¤tStrainMinElem, + ¤tShearMaxElem); } else { currentStrainMaxElem = 0.0; currentShearMaxElem = 0.0; } - sprintf(output, "%s %15.9e %15.9e", output, \ - currentStrainMaxElem, currentShearMaxElem); + sprintf(output, "%s %15.9e %15.9e", output, currentStrainMaxElem, + currentShearMaxElem); } - if (output_rank == (output_size-1)) { + if (output_rank == (output_size - 1)) { sprintf(output, "%s\n", output); } - MPI_File_write_ordered(outputFilePtr, output, strlen(output), MPI_CHAR, MPI_STATUS_IGNORE); + MPI_File_write_ordered(outputFilePtr, output, strlen(output), MPI_CHAR, + MPI_STATUS_IGNORE); free(output); } return; } -double InitBoundaryCondition(const Json::Value& jsonInput) { +double InitBoundaryCondition(const Json::Value &jsonInput) { static const double gC = 9.81; double startTime = 0.0; // Read input JSON for acceleration values - if (jsonInput["linear-acceleration"].isObject()) { // Use time traces from file + if (jsonInput["linear-acceleration"] + .isObject()) { // Use time traces from file // Read linear acceleration and angular acceleration time traces linAccXSize = jsonInput["linear-acceleration"]["xt"].size(); int tempSize = jsonInput["linear-acceleration"]["xv"].size(); assert(tempSize == linAccXSize); - linAccXt = (double*)malloc(sizeof(double)*linAccXSize); - linAccXv = (double*)malloc(sizeof(double)*linAccXSize); + linAccXt = (double *)malloc(sizeof(double) * linAccXSize); + linAccXv = (double *)malloc(sizeof(double) * linAccXSize); linAccYSize = jsonInput["linear-acceleration"]["yt"].size(); tempSize = jsonInput["linear-acceleration"]["yv"].size(); assert(tempSize == linAccYSize); - linAccYt = (double*)malloc(sizeof(double)*linAccYSize); - linAccYv = (double*)malloc(sizeof(double)*linAccYSize); + linAccYt = (double *)malloc(sizeof(double) * linAccYSize); + linAccYv = (double *)malloc(sizeof(double) * linAccYSize); linAccZSize = jsonInput["linear-acceleration"]["zt"].size(); tempSize = jsonInput["linear-acceleration"]["zv"].size(); assert(tempSize == linAccYSize); - linAccZt = (double*)malloc(sizeof(double)*linAccZSize); - linAccZv = (double*)malloc(sizeof(double)*linAccZSize); + linAccZt = (double *)malloc(sizeof(double) * linAccZSize); + linAccZv = (double *)malloc(sizeof(double) * linAccZSize); jsonToArray(linAccXt, jsonInput["linear-acceleration"]["xt"]); jsonToArray(linAccXv, jsonInput["linear-acceleration"]["xv"]); jsonToArray(linAccYt, jsonInput["linear-acceleration"]["yt"]); @@ -595,18 +638,18 @@ double InitBoundaryCondition(const Json::Value& jsonInput) { angAccXSize = jsonInput["angular-acceleration"]["xt"].size(); tempSize = jsonInput["angular-acceleration"]["xv"].size(); assert(tempSize == angAccXSize); - angAccXt = (double*)malloc(sizeof(double)*angAccXSize); - angAccXv = (double*)malloc(sizeof(double)*angAccXSize); + angAccXt = (double *)malloc(sizeof(double) * angAccXSize); + angAccXv = (double *)malloc(sizeof(double) * angAccXSize); angAccYSize = jsonInput["angular-acceleration"]["yt"].size(); tempSize = jsonInput["angular-acceleration"]["yv"].size(); assert(tempSize == angAccYSize); - angAccYt = (double*)malloc(sizeof(double)*angAccYSize); - angAccYv = (double*)malloc(sizeof(double)*angAccYSize); + angAccYt = (double *)malloc(sizeof(double) * angAccYSize); + angAccYv = (double *)malloc(sizeof(double) * angAccYSize); angAccZSize = jsonInput["angular-acceleration"]["zt"].size(); tempSize = jsonInput["angular-acceleration"]["zv"].size(); assert(tempSize == angAccZSize); - angAccZt = (double*)malloc(sizeof(double)*angAccZSize); - angAccZv = (double*)malloc(sizeof(double)*angAccZSize); + angAccZt = (double *)malloc(sizeof(double) * angAccZSize); + angAccZv = (double *)malloc(sizeof(double) * angAccZSize); jsonToArray(angAccXt, jsonInput["angular-acceleration"]["xt"]); jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); jsonToArray(angAccYt, jsonInput["angular-acceleration"]["yt"]); @@ -618,43 +661,46 @@ double InitBoundaryCondition(const Json::Value& jsonInput) { // Convert time from milli-seconds to seconds for (int i = 0; i < linAccXSize; ++i) { // linAccXv[i] = gC*linAccXv[i]; - linAccXt[i] = 0.001*linAccXt[i]; + linAccXt[i] = 0.001 * linAccXt[i]; } for (int i = 0; i < linAccYSize; ++i) { // linAccYv[i] = gC*linAccYv[i]; - linAccYt[i] = 0.001*linAccYt[i]; + linAccYt[i] = 0.001 * linAccYt[i]; } for (int i = 0; i < linAccZSize; ++i) { // linAccZv[i] = gC*linAccZv[i]; - linAccZt[i] = 0.001*linAccZt[i]; + linAccZt[i] = 0.001 * linAccZt[i]; } for (int i = 0; i < angAccXSize; ++i) { - angAccXt[i] = 0.001*angAccXt[i]; + angAccXt[i] = 0.001 * angAccXt[i]; } for (int i = 0; i < angAccYSize; ++i) { - angAccYt[i] = 0.001*angAccYt[i]; + angAccYt[i] = 0.001 * angAccYt[i]; } for (int i = 0; i < angAccZSize; ++i) { - angAccZt[i] = 0.001*angAccZt[i]; + angAccZt[i] = 0.001 * angAccZt[i]; } startTime = linAccXt[0]; } else { // Read maximum values from input file double accMax[3]; - accMax[0] = gC*jsonInput["linear-acceleration"][0].asDouble(); - accMax[1] = gC*jsonInput["linear-acceleration"][1].asDouble(); - accMax[2] = gC*jsonInput["linear-acceleration"][2].asDouble(); - peakTime = jsonInput["time-peak-acceleration"].asDouble()/1000.0; //Convert to second - linAccXSize = 3; linAccYSize = 3; linAccZSize = 3; - linAccXt = (double*)calloc(linAccXSize, sizeof(double)); - linAccXv = (double*)calloc(linAccXSize, sizeof(double)); - linAccYt = (double*)calloc(linAccYSize, sizeof(double)); - linAccYv = (double*)calloc(linAccYSize, sizeof(double)); - linAccZt = (double*)calloc(linAccZSize, sizeof(double)); - linAccZv = (double*)calloc(linAccZSize, sizeof(double)); + accMax[0] = gC * jsonInput["linear-acceleration"][0].asDouble(); + accMax[1] = gC * jsonInput["linear-acceleration"][1].asDouble(); + accMax[2] = gC * jsonInput["linear-acceleration"][2].asDouble(); + peakTime = jsonInput["time-peak-acceleration"].asDouble() / + 1000.0; // Convert to second + linAccXSize = 3; + linAccYSize = 3; + linAccZSize = 3; + linAccXt = (double *)calloc(linAccXSize, sizeof(double)); + linAccXv = (double *)calloc(linAccXSize, sizeof(double)); + linAccYt = (double *)calloc(linAccYSize, sizeof(double)); + linAccYv = (double *)calloc(linAccYSize, sizeof(double)); + linAccZt = (double *)calloc(linAccZSize, sizeof(double)); + linAccZv = (double *)calloc(linAccZSize, sizeof(double)); linAccXt[1] = linAccYt[1] = linAccZt[1] = peakTime; linAccXt[2] = linAccYt[2] = linAccZt[2] = tMax; - linAccXv[1] = accMax[0]; - linAccYv[1] = accMax[1]; + linAccXv[1] = accMax[0]; + linAccYv[1] = accMax[1]; linAccZv[1] = accMax[2]; if (jsonInput["angular-acceleration"].size() == 3) { accMax[0] = jsonInput["angular-acceleration"][0].asDouble(); @@ -666,11 +712,12 @@ double InitBoundaryCondition(const Json::Value& jsonInput) { // Compute the axis of rotation based on center of mass and impact point double impactNodeCoord[3]; // Find if global node ID is present on the current process - int nodeStatus = coordinateFromGlobalID(globalNodeID, impactPointID, nNodes, \ - impactNodeCoord); + int nodeStatus = coordinateFromGlobalID(globalNodeID, impactPointID, + nNodes, impactNodeCoord); // Find lowest rank process with node ID - int *nodeWithID = (int*)malloc(world_size*sizeof(int)); - MPI_Allgather(&nodeStatus, 1, MPI_INT, nodeWithID, 1, MPI_INT, MPI_COMM_WORLD); + int *nodeWithID = (int *)malloc(world_size * sizeof(int)); + MPI_Allgather(&nodeStatus, 1, MPI_INT, nodeWithID, 1, MPI_INT, + MPI_COMM_WORLD); int nodeIDGlobal = -1; for (int i = 0; i < world_size; ++i) { if (nodeWithID[i]) { @@ -679,38 +726,41 @@ double InitBoundaryCondition(const Json::Value& jsonInput) { } } // Recieve node co-ordinates - MPI_Bcast(impactNodeCoord, ndim, MPI_DOUBLE, nodeIDGlobal, MPI_COMM_WORLD); - FILE_LOG_MASTER(INFO, "NodeID of impact : %d (%15.9e, %15.9e, %15.9e)", \ - impactPointID, impactNodeCoord[0], impactNodeCoord[1], \ - impactNodeCoord[2]); - //Compute the axis of rotation + MPI_Bcast(impactNodeCoord, ndim, MPI_DOUBLE, nodeIDGlobal, + MPI_COMM_WORLD); + FILE_LOG_MASTER(INFO, "NodeID of impact : %d (%15.9e, %15.9e, %15.9e)", + impactPointID, impactNodeCoord[0], impactNodeCoord[1], + impactNodeCoord[2]); + // Compute the axis of rotation double norm = 0.0; for (int i = 0; i < ndim; ++i) { double ds = impactNodeCoord[i]; angNormal[i] = ds; - norm += ds*ds; + norm += ds * ds; } norm = sqrt(norm); for (int i = 0; i < ndim; ++i) { angNormal[i] /= norm; } double angAccMax = jsonInput["angular-acceleration"].asDouble(); - accMax[0] = angAccMax*angNormal[0]; - accMax[1] = angAccMax*angNormal[1]; - accMax[2] = angAccMax*angNormal[2]; + accMax[0] = angAccMax * angNormal[0]; + accMax[1] = angAccMax * angNormal[1]; + accMax[2] = angAccMax * angNormal[2]; free(nodeWithID); } - angAccXSize = 3; angAccYSize = 3; angAccZSize = 3; - angAccXt = (double*)calloc(angAccXSize, sizeof(double)); - angAccXv = (double*)calloc(angAccXSize, sizeof(double)); - angAccYt = (double*)calloc(angAccYSize, sizeof(double)); - angAccYv = (double*)calloc(angAccYSize, sizeof(double)); - angAccZt = (double*)calloc(angAccZSize, sizeof(double)); - angAccZv = (double*)calloc(angAccZSize, sizeof(double)); + angAccXSize = 3; + angAccYSize = 3; + angAccZSize = 3; + angAccXt = (double *)calloc(angAccXSize, sizeof(double)); + angAccXv = (double *)calloc(angAccXSize, sizeof(double)); + angAccYt = (double *)calloc(angAccYSize, sizeof(double)); + angAccYv = (double *)calloc(angAccYSize, sizeof(double)); + angAccZt = (double *)calloc(angAccZSize, sizeof(double)); + angAccZv = (double *)calloc(angAccZSize, sizeof(double)); angAccXt[1] = angAccYt[1] = angAccZt[1] = peakTime; angAccXt[2] = angAccYt[2] = angAccZt[2] = tMax; - angAccXv[1] = accMax[0]; - angAccYv[1] = accMax[1]; + angAccXv[1] = accMax[0]; + angAccYv[1] = accMax[1]; angAccZv[1] = accMax[2]; } // Convert angular to linear frame @@ -721,42 +771,55 @@ double InitBoundaryCondition(const Json::Value& jsonInput) { index[i] = -10; std::string tr = jsonInput["angular-to-linear-frame"][i].asString(); if (tr.length() == 2) { - switch(tr.at(1)) { - case 'x' : index[i] = 0; - break; - case 'y' : index[i] = 1; - break; - case 'z' : index[i] = 2; - break; - default : FILE_LOG_MASTER(ERROR, "Transformation has to be x/y/z"); - TerminateFemTech(12); - break; + switch (tr.at(1)) { + case 'x': + index[i] = 0; + break; + case 'y': + index[i] = 1; + break; + case 'z': + index[i] = 2; + break; + default: + FILE_LOG_MASTER(ERROR, "Transformation has to be x/y/z"); + TerminateFemTech(12); + break; } - switch(tr.at(0)) { - case '-' : factor[i] = -1; - break; - case '+' : factor[i] = 1; - break; - default : FILE_LOG_MASTER(ERROR, "Prefix of axis not -/+, check input transformation"); - TerminateFemTech(12); - break; + switch (tr.at(0)) { + case '-': + factor[i] = -1; + break; + case '+': + factor[i] = 1; + break; + default: + FILE_LOG_MASTER(ERROR, + "Prefix of axis not -/+, check input transformation"); + TerminateFemTech(12); + break; } } else { if (tr.length() == 1) { factor[i] = 1; - switch(tr.at(0)) { - case 'x' : index[i] = 0; - break; - case 'y' : index[i] = 1; - break; - case 'z' : index[i] = 2; - break; - default : FILE_LOG_MASTER(ERROR, "Transformation has to be x/y/z"); - TerminateFemTech(12); - break; + switch (tr.at(0)) { + case 'x': + index[i] = 0; + break; + case 'y': + index[i] = 1; + break; + case 'z': + index[i] = 2; + break; + default: + FILE_LOG_MASTER(ERROR, "Transformation has to be x/y/z"); + TerminateFemTech(12); + break; } } else { - FILE_LOG_MASTER(ERROR, "Error in angular to linear frame transformation. Please check input file"); + FILE_LOG_MASTER(ERROR, "Error in angular to linear frame " + "transformation. Please check input file"); TerminateFemTech(12); } } @@ -764,11 +827,14 @@ double InitBoundaryCondition(const Json::Value& jsonInput) { // Validate the input int indexSum = index[0] + index[1] + index[2]; if (indexSum != 3) { - FILE_LOG_MASTER(ERROR, "Error in angular to linear frame transformation. x, y and z not present"); + FILE_LOG_MASTER(ERROR, "Error in angular to linear frame transformation. " + "x, y and z not present"); TerminateFemTech(12); } if ((index[0] != 0) && (index[1] != 0) && (index[2] != 0)) { - FILE_LOG_MASTER(ERROR, "Error in angular to linear frame transformation. x not present"); + FILE_LOG_MASTER( + ERROR, + "Error in angular to linear frame transformation. x not present"); TerminateFemTech(12); } // Transform all angular acceleration values @@ -779,27 +845,27 @@ double InitBoundaryCondition(const Json::Value& jsonInput) { accSize[index[1]] = angAccYSize; accSize[index[2]] = angAccZSize; double *angAccTNew[ndim], *angAccVNew[ndim]; - angAccTNew[0] = (double*)malloc(accSize[0]*sizeof(double)); - angAccVNew[0] = (double*)malloc(accSize[0]*sizeof(double)); - angAccTNew[1] = (double*)malloc(accSize[1]*sizeof(double)); - angAccVNew[1] = (double*)malloc(accSize[1]*sizeof(double)); - angAccTNew[2] = (double*)malloc(accSize[2]*sizeof(double)); - angAccVNew[2] = (double*)malloc(accSize[2]*sizeof(double)); + angAccTNew[0] = (double *)malloc(accSize[0] * sizeof(double)); + angAccVNew[0] = (double *)malloc(accSize[0] * sizeof(double)); + angAccTNew[1] = (double *)malloc(accSize[1] * sizeof(double)); + angAccVNew[1] = (double *)malloc(accSize[1] * sizeof(double)); + angAccTNew[2] = (double *)malloc(accSize[2] * sizeof(double)); + angAccVNew[2] = (double *)malloc(accSize[2] * sizeof(double)); int transformedIndex = index[0]; for (int i = 0; i < angAccXSize; ++i) { angAccTNew[transformedIndex][i] = angAccXt[i]; - angAccVNew[transformedIndex][i] = angAccXv[i]*factor[0]; + angAccVNew[transformedIndex][i] = angAccXv[i] * factor[0]; } transformedIndex = index[1]; for (int i = 0; i < angAccYSize; ++i) { angAccTNew[transformedIndex][i] = angAccYt[i]; - angAccVNew[transformedIndex][i] = angAccYv[i]*factor[1]; + angAccVNew[transformedIndex][i] = angAccYv[i] * factor[1]; } transformedIndex = index[2]; for (int i = 0; i < angAccZSize; ++i) { angAccTNew[transformedIndex][i] = angAccZt[i]; - angAccVNew[transformedIndex][i] = angAccZv[i]*factor[2]; + angAccVNew[transformedIndex][i] = angAccZv[i] * factor[2]; } angAccXSize = accSize[0]; @@ -887,47 +953,47 @@ double InitBoundaryCondition(const Json::Value& jsonInput) { for (int i = 0; i < boundarySize; i++) { int index = boundaryID[i] * ndim; for (int j = 0; j < ndim; ++j) { - displacements[index+j] = 0.0; - velocities[index+j] = 0.0; - accelerations[index+j] = 0.0; + displacements[index + j] = 0.0; + velocities[index + j] = 0.0; + accelerations[index + j] = 0.0; } } return startTime; } void updateBoundaryNeighbour(void) { - int* sendNodeBoundary; - int* recvNodeBoundary; + int *sendNodeBoundary; + int *recvNodeBoundary; int totalNodeToSend = sendNeighbourCountCum[sendProcessCount]; - recvNodeBoundary = (int*)malloc(ndim*totalNodeToSend * sizeof(int)); - sendNodeBoundary = (int*)malloc(ndim*totalNodeToSend * sizeof(int)); - // Update array to send + recvNodeBoundary = (int *)malloc(ndim * totalNodeToSend * sizeof(int)); + sendNodeBoundary = (int *)malloc(ndim * totalNodeToSend * sizeof(int)); + // Update array to send for (int i = 0; i < totalNodeToSend; ++i) { - int nodeIndex = ndim*sendNodeIndex[i]; - sendNodeBoundary[ndim*i] = boundary[nodeIndex]; - sendNodeBoundary[ndim*i+1] = boundary[nodeIndex+1]; - sendNodeBoundary[ndim*i+2] = boundary[nodeIndex+2]; + int nodeIndex = ndim * sendNodeIndex[i]; + sendNodeBoundary[ndim * i] = boundary[nodeIndex]; + sendNodeBoundary[ndim * i + 1] = boundary[nodeIndex + 1]; + sendNodeBoundary[ndim * i + 2] = boundary[nodeIndex + 2]; } // Create send requests int boundaryTag = 2798; MPI_Request *requestListSend = - (MPI_Request *)malloc(sizeof(MPI_Request) * sendProcessCount); + (MPI_Request *)malloc(sizeof(MPI_Request) * sendProcessCount); for (int i = 0; i < sendProcessCount; ++i) { int process = sendProcessID[i]; - int location = sendNeighbourCountCum[i]*ndim; - int size = ndim*sendNeighbourCount[i]; - MPI_Isend(&(sendNodeBoundary[location]), size, MPI_INT, process, \ - boundaryTag, MPI_COMM_WORLD, &(requestListSend[i])); + int location = sendNeighbourCountCum[i] * ndim; + int size = ndim * sendNeighbourCount[i]; + MPI_Isend(&(sendNodeBoundary[location]), size, MPI_INT, process, + boundaryTag, MPI_COMM_WORLD, &(requestListSend[i])); } // Create recv requests MPI_Request *requestListRecv = - (MPI_Request *)malloc(sizeof(MPI_Request) * sendProcessCount); + (MPI_Request *)malloc(sizeof(MPI_Request) * sendProcessCount); for (int i = 0; i < sendProcessCount; ++i) { int process = sendProcessID[i]; - int location = sendNeighbourCountCum[i]*ndim; - int size = ndim*sendNeighbourCount[i]; - MPI_Irecv(&(recvNodeBoundary[location]), size, MPI_INT, process, \ - boundaryTag, MPI_COMM_WORLD, &(requestListRecv[i])); + int location = sendNeighbourCountCum[i] * ndim; + int size = ndim * sendNeighbourCount[i]; + MPI_Irecv(&(recvNodeBoundary[location]), size, MPI_INT, process, + boundaryTag, MPI_COMM_WORLD, &(requestListRecv[i])); } // Wait for completion of all requests MPI_Status status; @@ -939,15 +1005,15 @@ void updateBoundaryNeighbour(void) { } // Update Mass values for (int i = 0; i < totalNodeToSend; ++i) { - int nodeIndex = ndim*sendNodeIndex[i]; - if (recvNodeBoundary[ndim*i]) { + int nodeIndex = ndim * sendNodeIndex[i]; + if (recvNodeBoundary[ndim * i]) { boundary[nodeIndex] = 1; } - if (recvNodeBoundary[ndim*i+1]) { - boundary[nodeIndex+1] = 1; + if (recvNodeBoundary[ndim * i + 1]) { + boundary[nodeIndex + 1] = 1; } - if (recvNodeBoundary[ndim*i+2]) { - boundary[nodeIndex+2] = 1; + if (recvNodeBoundary[ndim * i + 2]) { + boundary[nodeIndex + 2] = 1; } } free(requestListSend); @@ -957,15 +1023,16 @@ void updateBoundaryNeighbour(void) { } int getImpactID(std::string location) { - const std::map pointMap{ {"top-right", 5285}, \ - {"top-left", 1754}, {"front-low", 2576}, {"front-high", 1968}, \ - {"right-high", 5677}, {"bottom-front", 2576}, {"top-front", 1968}, \ - {"top-rear", 1874}}; - if (pointMap.find(location) == pointMap.end() ) { - FILE_LOG_SINGLE(ERROR, "Impact location not found, check value of impact-point"); - TerminateFemTech(11); - } - return pointMap.at(location); + const std::map pointMap{ + {"top-right", 5285}, {"top-left", 1754}, {"front-low", 2576}, + {"front-high", 1968}, {"right-high", 5677}, {"bottom-front", 2576}, + {"top-front", 1968}, {"top-rear", 1874}}; + if (pointMap.find(location) == pointMap.end()) { + FILE_LOG_SINGLE(ERROR, + "Impact location not found, check value of impact-point"); + TerminateFemTech(11); + } + return pointMap.at(location); } void computeDerivatives(const state_type &y, state_type &ydot, const double t) { @@ -989,27 +1056,33 @@ void computeDerivatives(const state_type &y, state_type &ydot, const double t) { // Ref: The integration of angular velocity, Michael Boyle, 2017 // https://arxiv.org/pdf/1604.08139.pdf double r[3]; - r[0] = y[3]; r[1] = y[4]; r[2] = y[5]; + r[0] = y[3]; + r[1] = y[4]; + r[2] = y[5]; double *rdot = &(ydot[3]); - double rMagnitude = sqrt(r[0]*r[0]+r[1]*r[1]+r[2]*r[2]); + double rMagnitude = sqrt(r[0] * r[0] + r[1] * r[1] + r[2] * r[2]); if (rMagnitude < 1e-10) { // rdot = 0.5*omega - rdot[0] = 0.5*y[0]; - rdot[1] = 0.5*y[1]; - rdot[2] = 0.5*y[2]; + rdot[0] = 0.5 * y[0]; + rdot[1] = 0.5 * y[1]; + rdot[2] = 0.5 * y[2]; } else { - double rCotR = rMagnitude/tan(rMagnitude); - double omega[3]; omega[0] = y[0]; omega[1] = y[1]; omega[2] = y[2]; + double rCotR = rMagnitude / tan(rMagnitude); + double omega[3]; + omega[0] = y[0]; + omega[1] = y[1]; + omega[2] = y[2]; crossProduct(omega, r, rdot); // compute rdot = omega x r // Normalize r by its magnitude for (int i = 0; i < 3; ++i) { - r[i] = r[i]/rMagnitude; + r[i] = r[i] / rMagnitude; } double rDotOmega = dotProduct3D(r, omega); // compure r.omega/||r|| for (int i = 0; i < 3; ++i) { // Compute 0.5 omegaxr + omega*(0.5||r|| cot(||r||) + (1-||r||cot(||r||)) // *(r.omega)*r/(2*||r||*||r||) - rdot[i] = 0.5*(rdot[i] + rCotR*y[i] + (1.0-rCotR)*rDotOmega*r[i]); + rdot[i] = + 0.5 * (rdot[i] + rCotR * y[i] + (1.0 - rCotR) * rDotOmega * r[i]); } } } @@ -1034,44 +1107,45 @@ void WriteOutputFile() { int globalElementID; struct { double value; - int rank; - } parStructMax; + int rank; + } parStructMax; /* Calculate principal min and max strain location and send to master */ // Find the gloabl max principal strain for (int i = 0; i < maxQuantities; ++i) { parStructMax.value = maxValue[i]; parStructMax.rank = world_rank; - MPI_Allreduce(MPI_IN_PLACE, &parStructMax, 1, MPI_DOUBLE_INT, \ - outputOperator[i], MPI_COMM_WORLD); + MPI_Allreduce(MPI_IN_PLACE, &parStructMax, 1, MPI_DOUBLE_INT, + outputOperator[i], MPI_COMM_WORLD); if (parStructMax.rank == world_rank) { for (int j = 0; j < 4; ++j) { maxLocationAndTime[j] = 0.0; } int elementID = maxElem[i]; - // Compute element coordinates - int nP = eptr[elementID+1]-eptr[elementID]; - for (int j = eptr[elementID]; j < eptr[elementID+1]; ++j) { - maxLocationAndTime[0] += coordinates[connectivity[j]*ndim]; - maxLocationAndTime[1] += coordinates[connectivity[j]*ndim+1]; - maxLocationAndTime[2] += coordinates[connectivity[j]*ndim+2]; + // Compute element coordinates + int nP = eptr[elementID + 1] - eptr[elementID]; + for (int j = eptr[elementID]; j < eptr[elementID + 1]; ++j) { + maxLocationAndTime[0] += coordinates[connectivity[j] * ndim]; + maxLocationAndTime[1] += coordinates[connectivity[j] * ndim + 1]; + maxLocationAndTime[2] += coordinates[connectivity[j] * ndim + 2]; } for (int j = 0; j < ndim; ++j) { - maxLocationAndTime[j] = maxLocationAndTime[j]/((double)nP); + maxLocationAndTime[j] = maxLocationAndTime[j] / ((double)nP); } maxLocationAndTime[3] = maxTime[i]; globalElementID = global_eid[elementID]; if (world_rank != 0) { - MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7297+i, MPI_COMM_WORLD); - MPI_Send(&globalElementID, 1, MPI_INT, 0, 7297+i, MPI_COMM_WORLD); + MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7297 + i, + MPI_COMM_WORLD); + MPI_Send(&globalElementID, 1, MPI_INT, 0, 7297 + i, MPI_COMM_WORLD); } } if (world_rank == 0) { if (parStructMax.rank != 0) { - MPI_Recv(maxLocationAndTime, 4, MPI_DOUBLE, parStructMax.rank, \ - 7297+i, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - MPI_Recv(&globalElementID, 1, MPI_INT, parStructMax.rank, \ - 7297+i, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + MPI_Recv(maxLocationAndTime, 4, MPI_DOUBLE, parStructMax.rank, 7297 + i, + MPI_COMM_WORLD, MPI_STATUS_IGNORE); + MPI_Recv(&globalElementID, 1, MPI_INT, parStructMax.rank, 7297 + i, + MPI_COMM_WORLD, MPI_STATUS_IGNORE); } for (int j = 0; j < ndim; ++j) { vec[j] = maxLocationAndTime[j]; @@ -1080,7 +1154,7 @@ void WriteOutputFile() { output[maxOutput[i]]["location"] = vec; output[maxOutput[i]]["time"] = maxLocationAndTime[3]; output[maxOutput[i]]["global-element-id"] = globalElementID; - } + } } // Compute the volume of all parts @@ -1110,7 +1184,7 @@ void WriteOutputFile() { } } } - // MPSR > 120 volume + // MPSR > 120 volume if (thresholdElements[4][i]) { thresholdVolume[4] += eV; } @@ -1120,7 +1194,8 @@ void WriteOutputFile() { } } // Calculate cumulative volume on all ranks - MPI_Allreduce(MPI_IN_PLACE, thresholdVolume, 6, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); + MPI_Allreduce(MPI_IN_PLACE, thresholdVolume, 6, MPI_DOUBLE, MPI_SUM, + MPI_COMM_WORLD); if (world_rank == 0) { // Excluded PID hardcoded for CSDM computation double totalVolume = 0.0; @@ -1141,7 +1216,7 @@ void WriteOutputFile() { // Write threshold values for (int i = 0; i < threshQuantities; ++i) { - output[thresholdTag[i]]["value"] = thresholdVolume[i]/totalVolume; + output[thresholdTag[i]]["value"] = thresholdVolume[i] / totalVolume; } // Write percentile values for (int i = 0; i < percentileQuantities; ++i) { @@ -1162,11 +1237,11 @@ void WriteOutputFile() { int *countPerProc, *cumCountPerProc, *fullElemList; if (world_rank == 0) { - countPerProc = (int*)malloc(world_size*sizeof(int)); - cumCountPerProc = (int*)malloc(world_size*sizeof(int)); + countPerProc = (int *)malloc(world_size * sizeof(int)); + cumCountPerProc = (int *)malloc(world_size * sizeof(int)); } for (int i = 0; i < outputJsonCount; ++i) { - int* list = outputJsonArray[i]; + int *list = outputJsonArray[i]; int count = 0; for (int j = 0; j < nelements; ++j) { if (list[j]) { @@ -1174,7 +1249,7 @@ void WriteOutputFile() { } } int numElem = count; - int *localElemList = (int*)malloc(numElem*sizeof(int)); + int *localElemList = (int *)malloc(numElem * sizeof(int)); count = 0; if (numElem) { for (int j = 0; j < nelements; ++j) { @@ -1188,19 +1263,20 @@ void WriteOutputFile() { int totalElems = 0; MPI_Allreduce(&numElem, &totalElems, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD); // Get recv count - MPI_Gather(&numElem, 1, MPI_INT, countPerProc, 1, MPI_INT, 0, MPI_COMM_WORLD); + MPI_Gather(&numElem, 1, MPI_INT, countPerProc, 1, MPI_INT, 0, + MPI_COMM_WORLD); if (world_rank == 0) { - fullElemList = (int*)malloc(totalElems*sizeof(int)); + fullElemList = (int *)malloc(totalElems * sizeof(int)); cumCountPerProc[0] = 0; for (int j = 1; j < world_size; ++j) { - cumCountPerProc[j] = countPerProc[j-1] + cumCountPerProc[j-1]; + cumCountPerProc[j] = countPerProc[j - 1] + cumCountPerProc[j - 1]; } } // Get full array if (totalElems) { - MPI_Gatherv(localElemList, numElem, MPI_INT, fullElemList, countPerProc, \ - cumCountPerProc, MPI_INT, 0, MPI_COMM_WORLD); + MPI_Gatherv(localElemList, numElem, MPI_INT, fullElemList, countPerProc, + cumCountPerProc, MPI_INT, 0, MPI_COMM_WORLD); } if (world_rank == 0) { Json::Value elementList(Json::arrayValue); @@ -1226,7 +1302,7 @@ void WriteOutputFile() { builder["indentation"] = " "; std::unique_ptr writer(builder.newStreamWriter()); std::ofstream oFile(uid + "_output.json"); - writer -> write(output, &oFile); + writer->write(output, &oFile); } } @@ -1254,7 +1330,7 @@ void InitInjuryCriterion(void) { nElementsInjury += 1; } } - elementIDInjury = (int*)malloc(nElementsInjury*sizeof(int)); + elementIDInjury = (int *)malloc(nElementsInjury * sizeof(int)); int count = 0; for (int i = 0; i < nelements; i++) { bool include = true; @@ -1272,23 +1348,24 @@ void InitInjuryCriterion(void) { } for (int i = 0; i < threshQuantities; ++i) { - thresholdElements[i] = (int*)calloc(nelements, sizeof(int)); + thresholdElements[i] = (int *)calloc(nelements, sizeof(int)); } // Write percentile values for (int i = 0; i < percentileQuantities; ++i) { - percentileElements[i] = (int*)malloc(nelements*sizeof(int)); + percentileElements[i] = (int *)malloc(nelements * sizeof(int)); percentileTime[i] = 0.0; percentileValue[i] = 0.0; } - PS_Old = (double*)malloc(nElementsInjury*sizeof(double)); - PSxSRArray = (double*)malloc(nElementsInjury*sizeof(double)); + PS_Old = (double *)malloc(nElementsInjury * sizeof(double)); + PSxSRArray = (double *)malloc(nElementsInjury * sizeof(double)); // Array to output to Paraview // All threshold elements CSDM : 5, 10, 15, 30, MPSR-120, MPSxSR-28 for (int i = 0; i < threshQuantities; ++i) { outputDataArray[i] = thresholdElements[i]; } - outputDataArray[threshQuantities] = percentileElements[0]; // Write MPS-95 to paraview + outputDataArray[threshQuantities] = + percentileElements[0]; // Write MPS-95 to paraview } void CalculateInjuryCriterions(void) { @@ -1297,8 +1374,8 @@ void CalculateInjuryCriterions(void) { for (int j = 0; j < nElementsInjury; j++) { int i = elementIDInjury[j]; - CalculateMaximumPrincipalStrain(i, ¤tStrainMaxElem, \ - ¤tStrainMinElem, ¤tShearMaxElem); + CalculateMaximumPrincipalStrain( + i, ¤tStrainMaxElem, ¤tStrainMinElem, ¤tShearMaxElem); if (maxValue[0] < currentStrainMaxElem) { maxValue[0] = currentStrainMaxElem; maxElem[0] = i; @@ -1324,9 +1401,9 @@ void CalculateInjuryCriterions(void) { } // Compute maxPSxSR // Compute principal strain rate using first order backaward distance - PSR = (currentStrainMaxElem - PS_Old[j])/dt; + PSR = (currentStrainMaxElem - PS_Old[j]) / dt; // TODO(Anil) : Sould absolute value be used for PSR ? - PSxSR = currentStrainMaxElem*PSR; + PSxSR = currentStrainMaxElem * PSR; if (maxValue[2] < PSxSR) { maxValue[2] = PSxSR; maxElem[2] = i; @@ -1351,7 +1428,7 @@ void CalculateInjuryCriterions(void) { // Compute 95 percentile MPS and corresponding element list double MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); if (MPS95 > percentileValue[0]) { - memset(percentileElements[0], 0, nelements*sizeof(int)); + memset(percentileElements[0], 0, nelements * sizeof(int)); percentileValue[0] = MPS95; percentileTime[0] = Time; for (int j = 0; j < nElementsInjury; j++) { @@ -1365,7 +1442,7 @@ void CalculateInjuryCriterions(void) { // Compute 95 percentile MPSxSR and corresponding element list double MPSxSR95 = compute95thPercentileValue(PSxSRArray, nElementsInjury); if (MPSxSR95 > percentileValue[1]) { - memset(percentileElements[1], 0, nelements*sizeof(int)); + memset(percentileElements[1], 0, nelements * sizeof(int)); percentileValue[1] = MPSxSR95; percentileTime[1] = Time; int count = 0; @@ -1378,7 +1455,7 @@ void CalculateInjuryCriterions(void) { } } -void TransformMesh(const Json::Value& jsonInput) { +void TransformMesh(const Json::Value &jsonInput) { double cordAngularSensor[3]; // Check if mesh-transformation key is present in the input json file // If present transform mesh, otherwise subtract center of mass @@ -1386,16 +1463,20 @@ void TransformMesh(const Json::Value& jsonInput) { cm[0] = jsonInput["head-cg"][0].asDouble(); cm[1] = jsonInput["head-cg"][1].asDouble(); cm[2] = jsonInput["head-cg"][2].asDouble(); - FILE_LOG_MASTER(INFO, "Center of Mass used : (%15.9e, %15.9e, %15.9e)", cm[0], cm[1], cm[2]); + FILE_LOG_MASTER(INFO, "Center of Mass used : (%15.9e, %15.9e, %15.9e)", + cm[0], cm[1], cm[2]); } else { GetBodyCenterofMass(cm); - FILE_LOG_MASTER(INFO, "Brain+Skull Center of Mass used : (%15.9e, %15.9e, %15.9e)", cm[0], cm[1], cm[2]); + FILE_LOG_MASTER( + INFO, "Brain+Skull Center of Mass used : (%15.9e, %15.9e, %15.9e)", + cm[0], cm[1], cm[2]); } if (!jsonInput["angular-sensor-position"].empty()) { cordAngularSensor[0] = jsonInput["angular-sensor-position"][0].asDouble(); cordAngularSensor[1] = jsonInput["angular-sensor-position"][1].asDouble(); cordAngularSensor[2] = jsonInput["angular-sensor-position"][2].asDouble(); - FILE_LOG_MASTER(INFO, "Angular sensor data about : (%15.9e, %15.9e, %15.9e)", \ + FILE_LOG_MASTER( + INFO, "Angular sensor data about : (%15.9e, %15.9e, %15.9e)", cordAngularSensor[0], cordAngularSensor[1], cordAngularSensor[2]); } else { for (unsigned int i = 0; i < ndim; ++i) { @@ -1410,42 +1491,55 @@ void TransformMesh(const Json::Value& jsonInput) { index[i] = -10; std::string tr = jsonInput["mesh-transformation"][i].asString(); if (tr.length() == 2) { - switch(tr.at(1)) { - case 'x' : index[i] = 0; - break; - case 'y' : index[i] = 1; - break; - case 'z' : index[i] = 2; - break; - default : FILE_LOG_MASTER(ERROR, "Mesh transformation has to be x/y/z"); - TerminateFemTech(12); - break; + switch (tr.at(1)) { + case 'x': + index[i] = 0; + break; + case 'y': + index[i] = 1; + break; + case 'z': + index[i] = 2; + break; + default: + FILE_LOG_MASTER(ERROR, "Mesh transformation has to be x/y/z"); + TerminateFemTech(12); + break; } - switch(tr.at(0)) { - case '-' : factor[i] = -1; - break; - case '+' : factor[i] = 1; - break; - default : FILE_LOG_MASTER(ERROR, "Prefix of axis not -/+, check input mesh-transformation"); - TerminateFemTech(12); - break; + switch (tr.at(0)) { + case '-': + factor[i] = -1; + break; + case '+': + factor[i] = 1; + break; + default: + FILE_LOG_MASTER( + ERROR, "Prefix of axis not -/+, check input mesh-transformation"); + TerminateFemTech(12); + break; } } else { if (tr.length() == 1) { factor[i] = 1; - switch(tr.at(0)) { - case 'x' : index[i] = 0; - break; - case 'y' : index[i] = 1; - break; - case 'z' : index[i] = 2; - break; - default : FILE_LOG_MASTER(ERROR, "Mesh transformation has to be x/y/z"); - TerminateFemTech(12); - break; + switch (tr.at(0)) { + case 'x': + index[i] = 0; + break; + case 'y': + index[i] = 1; + break; + case 'z': + index[i] = 2; + break; + default: + FILE_LOG_MASTER(ERROR, "Mesh transformation has to be x/y/z"); + TerminateFemTech(12); + break; } } else { - FILE_LOG_MASTER(ERROR, "Error in mesh transformation. Please check input file"); + FILE_LOG_MASTER( + ERROR, "Error in mesh transformation. Please check input file"); TerminateFemTech(12); } } @@ -1453,7 +1547,8 @@ void TransformMesh(const Json::Value& jsonInput) { // Validate the input int indexSum = index[0] + index[1] + index[2]; if (indexSum != 3) { - FILE_LOG_MASTER(ERROR, "Error in mesh transformation. x, y and z not present"); + FILE_LOG_MASTER(ERROR, + "Error in mesh transformation. x, y and z not present"); TerminateFemTech(12); } if ((index[0] != 0) && (index[1] != 0) && (index[2] != 0)) { @@ -1465,7 +1560,7 @@ void TransformMesh(const Json::Value& jsonInput) { // Transform center of mass based on the transformation for (int i = 0; i < ndim; ++i) { int transformedIndex = index[i]; - coordTemp[transformedIndex] = cm[i]*factor[i]; + coordTemp[transformedIndex] = cm[i] * factor[i]; } // Assign cm array with transformed co-ordinates for (int i = 0; i < ndim; ++i) { @@ -1474,7 +1569,7 @@ void TransformMesh(const Json::Value& jsonInput) { // Transform angular sensor position for (int i = 0; i < ndim; ++i) { int transformedIndex = index[i]; - coordTemp[transformedIndex] = cordAngularSensor[i]*factor[i]; + coordTemp[transformedIndex] = cordAngularSensor[i] * factor[i]; } for (int i = 0; i < ndim; ++i) { cordAngularSensor[i] = coordTemp[i]; @@ -1484,10 +1579,10 @@ void TransformMesh(const Json::Value& jsonInput) { for (int j = 0; j < nNodes; ++j) { for (int i = 0; i < ndim; ++i) { int transformedIndex = index[i]; - coordTemp[transformedIndex] = coordinates[i + ndim*j]*factor[i]; + coordTemp[transformedIndex] = coordinates[i + ndim * j] * factor[i]; } for (int i = 0; i < ndim; ++i) { - coordinates[i + ndim*j] = coordTemp[i] - cordAngularSensor[i]; + coordinates[i + ndim * j] = coordTemp[i] - cordAngularSensor[i]; } } // Get center of mass wrt angular sensor position @@ -1498,7 +1593,8 @@ void TransformMesh(const Json::Value& jsonInput) { // Subtract angular sensor position from co-ordinates for (int j = 0; j < nNodes; ++j) { for (int i = 0; i < ndim; ++i) { - coordinates[i + ndim*j] = coordinates[i + ndim*j] - cordAngularSensor[i]; + coordinates[i + ndim * j] = + coordinates[i + ndim * j] - cordAngularSensor[i]; } } // Get center of mass wrt angular sensor position From c29912f33971e6b07b76c0e7ce8ce7aeeff00ebe Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 17 Oct 2020 11:14:07 +0530 Subject: [PATCH 016/106] Writing MPS values to VTU Storing all injury criterions in arrays of size-skullsize --- examples/ex5/ex5.cpp | 62 +++++++++++++++++++++++--------------- include/FemTech.h | 4 ++- src/io/output/WriteVTU.cpp | 35 +++++++++++++++++++-- 3 files changed, 74 insertions(+), 27 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 8a6ae899..2907c11f 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -112,6 +112,10 @@ int *outputDataArray[outputCount]; const char *outputNames[outputCount] = {"CSDM-5", "CSDM-10", "CSDM-15", "CSDM-30", "MPSR-120", "MPSxSR-28", "MPS-95"}; +const int outputDoubleCount = 1; +double *outputDoubleArray[outputDoubleCount]; +const char *outputDoubleNames[outputDoubleCount] = {"MPS-95-Value"}; + const int csdmCount = 4; const double csdmLimits[csdmCount] = {0.05, 0.1, 0.15, 0.3}; @@ -167,7 +171,8 @@ int main(int argc, char **argv) { int plot_counter = 0; if (writeField) { WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, - outputNames); + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputDoubleCount, outputDoubleNames); WritePVD(outputFileName.c_str(), plot_counter); } stepTime[plot_counter] = Time; @@ -278,8 +283,9 @@ int main(int argc, char **argv) { stepTime[plot_counter] = Time; if (writeField) { FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); - WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, - outputCount, outputNames); + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputDoubleCount, outputDoubleNames); WritePVD(outputFileName.c_str(), plot_counter); } } @@ -1169,8 +1175,9 @@ void WriteOutputFile() { for (int i = 0; i < threshQuantities; ++i) { thresholdVolume[i] = 0.0; } - for (int i = 0; i < nelements; ++i) { - double eV = elementVolume[i]; + for (int i = 0; i < nElementsInjury; ++i) { + int e = elementIDInjury[i]; + double eV = elementVolume[e]; // CSDM 5, 10, 15, 30 volume computations if (thresholdElements[0][i]) { thresholdVolume[0] += eV; @@ -1232,6 +1239,7 @@ void WriteOutputFile() { jsonOutputTag[i] = thresholdTag[i]; outputJsonArray[i] = thresholdElements[i]; } + // Write MPS-95 elements jsonOutputTag[csdmCount] = percentileTag[0]; outputJsonArray[csdmCount] = percentileElements[0]; @@ -1243,7 +1251,7 @@ void WriteOutputFile() { for (int i = 0; i < outputJsonCount; ++i) { int *list = outputJsonArray[i]; int count = 0; - for (int j = 0; j < nelements; ++j) { + for (int j = 0; j < nElementsInjury; ++j) { if (list[j]) { count = count + 1; } @@ -1252,9 +1260,10 @@ void WriteOutputFile() { int *localElemList = (int *)malloc(numElem * sizeof(int)); count = 0; if (numElem) { - for (int j = 0; j < nelements; ++j) { + for (int j = 0; j < nElementsInjury; ++j) { if (list[j]) { - localElemList[count] = global_eid[j]; + int e = elementIDInjury[j]; + localElemList[count] = global_eid[e]; count = count + 1; } } @@ -1348,11 +1357,11 @@ void InitInjuryCriterion(void) { } for (int i = 0; i < threshQuantities; ++i) { - thresholdElements[i] = (int *)calloc(nelements, sizeof(int)); + thresholdElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); } // Write percentile values for (int i = 0; i < percentileQuantities; ++i) { - percentileElements[i] = (int *)malloc(nelements * sizeof(int)); + percentileElements[i] = (int *)malloc(nElementsInjury * sizeof(int)); percentileTime[i] = 0.0; percentileValue[i] = 0.0; } @@ -1364,8 +1373,15 @@ void InitInjuryCriterion(void) { for (int i = 0; i < threshQuantities; ++i) { outputDataArray[i] = thresholdElements[i]; } - outputDataArray[threshQuantities] = - percentileElements[0]; // Write MPS-95 to paraview + // for (int i = 0; i < percentileQuantities; ++i) { + // outputDataArray[threshQuantities + i] = + // percentileElements[i]; + // } + outputDataArray[threshQuantities] = + percentileElements[0]; // Write MPS-95 to paraview + // Percentile Values + // Write MPS-95-Value + outputDoubleArray[0] = PS_Old; } void CalculateInjuryCriterions(void) { @@ -1393,9 +1409,9 @@ void CalculateInjuryCriterions(void) { } // Update csdm element list for (int k = 0; k < csdmCount; ++k) { - if (!thresholdElements[k][i]) { + if (!thresholdElements[k][j]) { if (currentStrainMaxElem > csdmLimits[k]) { - thresholdElements[k][i] = 1; + thresholdElements[k][j] = 1; } } } @@ -1410,15 +1426,15 @@ void CalculateInjuryCriterions(void) { maxTime[2] = Time; } // Calculate MPSR 120 - if (!thresholdElements[4][i]) { + if (!thresholdElements[csdmCount][j]) { if (PSR > 120.0) { - thresholdElements[4][i] = 1; + thresholdElements[csdmCount][j] = 1; } } // Calculate MPSxSR 28 - if (!thresholdElements[5][i]) { + if (!thresholdElements[csdmCount + 1][j]) { if (PSxSR > 28.0) { - thresholdElements[5][i] = 1; + thresholdElements[csdmCount + 1][j] = 1; } } PS_Old[j] = currentStrainMaxElem; @@ -1428,13 +1444,12 @@ void CalculateInjuryCriterions(void) { // Compute 95 percentile MPS and corresponding element list double MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); if (MPS95 > percentileValue[0]) { - memset(percentileElements[0], 0, nelements * sizeof(int)); + memset(percentileElements[0], 0, nElementsInjury * sizeof(int)); percentileValue[0] = MPS95; percentileTime[0] = Time; for (int j = 0; j < nElementsInjury; j++) { if (PS_Old[j] >= MPS95) { - const int i = elementIDInjury[j]; - percentileElements[0][i] = 1; + percentileElements[0][j] = 1; } } } @@ -1442,14 +1457,13 @@ void CalculateInjuryCriterions(void) { // Compute 95 percentile MPSxSR and corresponding element list double MPSxSR95 = compute95thPercentileValue(PSxSRArray, nElementsInjury); if (MPSxSR95 > percentileValue[1]) { - memset(percentileElements[1], 0, nelements * sizeof(int)); + memset(percentileElements[1], 0, nElementsInjury * sizeof(int)); percentileValue[1] = MPSxSR95; percentileTime[1] = Time; int count = 0; for (int j = 0; j < nElementsInjury; j++) { if (PSxSRArray[j] >= MPSxSR95) { - const int i = elementIDInjury[j]; - percentileElements[1][i] = 1; + percentileElements[1][j] = 1; } } } diff --git a/include/FemTech.h b/include/FemTech.h index 02f250c3..49d89684 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -37,7 +37,9 @@ void Assembly(char *operation); void StiffnessElementMatrix(double* Ke, int e); void MassElementMatrix(double* Me, int e); void WriteVTU(const char* FileName, int step, int** intCellData = NULL, \ - int cellDataCount = 0, const char **cellDataNames = NULL); + int cellDataCount = 0, const char **cellDataNames = NULL, \ + int *mapping = NULL, int mapCount = 0, double **dpCellData = NULL, \ + int dpDataCount = 0, const char **dpDataNames = NULL); void WritePVD(const char* FileName, int step); void FreeArrays(); void ApplySteadyBoundaryConditions(void); diff --git a/src/io/output/WriteVTU.cpp b/src/io/output/WriteVTU.cpp index 5b479441..7a33709e 100644 --- a/src/io/output/WriteVTU.cpp +++ b/src/io/output/WriteVTU.cpp @@ -1,7 +1,12 @@ #include "FemTech.h" +#include + void WriteVTU(const char* FileName, int step, int** intCellData /*= NULL*/, \ - int cellDataCount /*= 0*/, const char **cellDataNames /*= NULL*/) { + int cellDataCount /*= 0*/, const char **cellDataNames /*= NULL*/, \ + int *mapping /* = NULL*/, int mapCount /*= 0*/, \ + double **dpCellData /*= NULL*/, int dpDataCount /*= 0*/, \ + const char **dpDataNames /*= NULL*/) { static const int ARR_SIZE = 1000; FILE *fp; @@ -187,9 +192,32 @@ void WriteVTU(const char* FileName, int step, int** intCellData /*= NULL*/, \ for (int c = 0; c < cellDataCount; ++c) { int *data = intCellData[c]; fprintf(fp, "\t\t\t\t\n", cellDataNames[c]); + int count = 0; + for (i = 0; i < nelements; i++) { + if(i == mapping[count]) { + fprintf(fp, "\t\t\t\t\t%d\n", data[count]); + count = count + 1; + } else { + fprintf(fp, "\t\t\t\t\t%d\n", 0); + } + } + assert(count == mapCount); + fprintf(fp, "\t\t\t\t\n"); + } + // Write example specific double element data + for (int c = 0; c < dpDataCount; ++c) { + double *data = dpCellData[c]; + fprintf(fp, "\t\t\t\t\n", dpDataNames[c]); + int count = 0; for (i = 0; i < nelements; i++) { - fprintf(fp, "\t\t\t\t\t%d\n", data[i]); + if(i == mapping[count]) { + fprintf(fp, "\t\t\t\t\t%10.8e\n", data[count]); + count = count + 1; + } else { + fprintf(fp, "\t\t\t\t\t%10.8e\n", 0.0); + } } + assert(count == mapCount); fprintf(fp, "\t\t\t\t\n"); } // // write Global Element ID @@ -249,6 +277,9 @@ void WriteVTU(const char* FileName, int step, int** intCellData /*= NULL*/, \ fprintf(fp,"\t\t\t\n"); for (int c = 0; c < cellDataCount; ++c) { fprintf(fp,"\t\t\t\n", cellDataNames[c]); + } + for (int c = 0; c < dpDataCount; ++c) { + fprintf(fp,"\t\t\t\n", dpDataNames[c]); } // fprintf(fp,"\t\t\t\n"); fprintf(fp,"\t\t\n"); From 11ce4dd72dd46046351b788b2f81ec11ca3fc0e4 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 20 Oct 2020 16:53:23 +0530 Subject: [PATCH 017/106] Bug corrected in mps-95 write --- examples/ex5/ex5.cpp | 11 ++++------- examples/ex5/mps95Movie.py | 6 ++++-- src/io/output/WriteVTU.cpp | 12 ++++++++++-- src/math/math.cpp | 4 ++-- 4 files changed, 20 insertions(+), 13 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 2907c11f..2759ed65 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -100,7 +100,7 @@ const std::string thresholdTag[threshQuantities] = { double *PS_Old = NULL; double *PSxSRArray = NULL; -int nElementsInjury, *elementIDInjury = NULL; +int nElementsInjury = 0, *elementIDInjury = NULL; // part ID to exclude from injury computation // 0 : Skull, 1 : CSF const int injuryExcludePIDCount = 2; @@ -1323,9 +1323,6 @@ void InitInjuryCriterion(void) { maxElem[i] = 0; } - // Allocate variables for injury metrics - nElementsInjury = 0; - for (int i = 0; i < nelements; i++) { bool include = true; int elementPID = pid[i]; @@ -1361,12 +1358,12 @@ void InitInjuryCriterion(void) { } // Write percentile values for (int i = 0; i < percentileQuantities; ++i) { - percentileElements[i] = (int *)malloc(nElementsInjury * sizeof(int)); + percentileElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); percentileTime[i] = 0.0; percentileValue[i] = 0.0; } - PS_Old = (double *)malloc(nElementsInjury * sizeof(double)); - PSxSRArray = (double *)malloc(nElementsInjury * sizeof(double)); + PS_Old = (double *)calloc(nElementsInjury, sizeof(double)); + PSxSRArray = (double *)calloc(nElementsInjury, sizeof(double)); // Array to output to Paraview // All threshold elements CSDM : 5, 10, 15, 30, MPSR-120, MPSxSR-28 diff --git a/examples/ex5/mps95Movie.py b/examples/ex5/mps95Movie.py index 62629417..66a06c43 100644 --- a/examples/ex5/mps95Movie.py +++ b/examples/ex5/mps95Movie.py @@ -103,7 +103,9 @@ # # create a new 'PVD Reader' coarse_brain_test_ptpvd = PVDReader(FileName=paraviewFile) -coarse_brain_test_ptpvd.CellArrays = ['PartID', 'AvgStrain', 'ProcID', 'CSDM-5', 'CSDM-10', 'CSDM-15', 'CSDM-30', 'MPSR-120', 'MPSxSR-28', 'MPS-95'] +coarse_brain_test_ptpvd.CellArrays = ['PartID', 'AvgStrain', 'ProcID', 'CSDM-5', + 'CSDM-10', 'CSDM-15', 'CSDM-30', 'MPSR-120', 'MPSxSR-28', 'MPS-95', + 'MPS-95-Value'] coarse_brain_test_ptpvd.PointArrays = ['Displacements', 'Accelerations', 'Boundary'] # get animation scene @@ -160,7 +162,7 @@ threshold2Display.Representation = 'Surface' threshold2Display.ColorArrayName = ['CELLS', 'PartID'] # set scalar coloring -ColorBy(threshold2Display, ('CELLS', 'PartID')) +ColorBy(threshold2Display, ('CELLS', 'MPS-95-Value')) # show color bar/color legend threshold2Display.SetScalarBarVisibility(renderView1, True) diff --git a/src/io/output/WriteVTU.cpp b/src/io/output/WriteVTU.cpp index 7a33709e..0302de96 100644 --- a/src/io/output/WriteVTU.cpp +++ b/src/io/output/WriteVTU.cpp @@ -251,7 +251,7 @@ void WriteVTU(const char* FileName, int step, int** intCellData /*= NULL*/, \ fprintf(fp,"\t\t\n"); /*-----------POINT DATA -----------------*/ - fprintf(fp,"\t\t\n"); + fprintf(fp,"\t\t\n"); fprintf(fp,"\t\t\t\n",ndim); @@ -265,7 +265,15 @@ void WriteVTU(const char* FileName, int step, int** intCellData /*= NULL*/, \ fprintf(fp,"\t\t\n"); /*-----------CELL DATA -----------------*/ - fprintf(fp,"\t\t\n"); + fprintf(fp,"\t\t\n"); + fprintf(fp,"\t\t\t\n"); fprintf(fp,"\t\t\t Date: Wed, 21 Oct 2020 04:35:33 +0530 Subject: [PATCH 018/106] Updated the mps movie generation script --- examples/ex5/mps95Movie.py | 26 +++++++++++--------------- 1 file changed, 11 insertions(+), 15 deletions(-) diff --git a/examples/ex5/mps95Movie.py b/examples/ex5/mps95Movie.py index 66a06c43..7e6f12db 100644 --- a/examples/ex5/mps95Movie.py +++ b/examples/ex5/mps95Movie.py @@ -115,38 +115,28 @@ # uncomment following to set a specific view size renderView1.ViewSize = [1538, 838] -# get color transfer function/color map for 'PartID' -partIDLUT = GetColorTransferFunction('PartID') # update animation scene based on data timesteps animationScene1.UpdateAnimationUsingDataTimeSteps() # create a new 'Threshold' threshold1 = Threshold(Input=coarse_brain_test_ptpvd) -threshold1.Scalars = ['POINTS', 'PartID'] -threshold1.ThresholdRange = [2.0, 9.0] # show data in view threshold1Display = Show(threshold1, renderView1, 'UnstructuredGridRepresentation') Hide(coarse_brain_test_ptpvd, renderView1) -# show color bar/color legend -threshold1Display.SetScalarBarVisibility(renderView1, True) -# hide color bar/color legend -threshold1Display.SetScalarBarVisibility(renderView1, False) - -# turn off scalar coloring -ColorBy(threshold1Display, None) - -# Hide the scalar bar for this color map if no visible data is colored by it. -HideScalarBarIfNotNeeded(partIDLUT, renderView1) +threshold1Display.Representation = 'Surface' +threshold1Display.ColorArrayName = [None, ''] # change solid color threshold1Display.AmbientColor = [0.0, 0.6666666666666666, 1.0] threshold1Display.DiffuseColor = [0.0, 0.6666666666666666, 1.0] # Properties modified on threshold1Display +threshold1.Scalars = ['POINTS', 'PartID'] +threshold1.ThresholdRange = [2.0, 9.0] threshold1Display.Opacity = 0.1 # create a new 'Threshold' @@ -160,14 +150,19 @@ # trace defaults for the display properties. threshold2Display.Representation = 'Surface' -threshold2Display.ColorArrayName = ['CELLS', 'PartID'] +threshold2Display.ColorArrayName = [None, ''] + +animationScene1.GoToLast() # set scalar coloring ColorBy(threshold2Display, ('CELLS', 'MPS-95-Value')) +threshold2Display.RescaleTransferFunctionToDataRange(True, False) # show color bar/color legend threshold2Display.SetScalarBarVisibility(renderView1, True) # Apply a preset using its name. Note this may not work as expected when presets have duplicate names. +# get color transfer function/color map for 'PartID' +partIDLUT = GetColorTransferFunction('MPS95Value') partIDLUT.ApplyPreset('Viridis (matplotlib)', True) # get color legend/bar for partIDLUT in view renderView1 @@ -183,6 +178,7 @@ partIDLUTColorBar.LabelFontSize = 14 partIDLUTColorBar.AutomaticLabelFormat = 1 partIDLUTColorBar.AddRangeLabels = 0 +partIDLUTColorBar.Title = 'MPS' annotateTime1 = AnnotateTime() annotateTimeFilter1 = AnnotateTimeFilter(Input=annotateTime1) From f52eefbc98346e8b0e59451b07efea621076bba1 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 16 Nov 2020 22:19:58 +0530 Subject: [PATCH 019/106] Validated Ogden with LS-Dyna --- examples/ex9/ex9.cpp | 2 +- examples/ex9/materials.dat | 8 +- include/FemTech.h | 2 + include/GlobalVariables.h | 13 +-- include/lapack.h | 28 ++++++ src/fem/AllocateArrays.cpp | 4 +- src/fem/SolidMechanics/StressUpdate.cpp | 3 + src/io/input/ReadMaterials.cpp | 21 +++++ src/materials/CMakeLists.txt | 1 + src/materials/Ogden.cpp | 114 ++++++++++++++++++++++++ src/math/math.cpp | 6 ++ 11 files changed, 192 insertions(+), 10 deletions(-) create mode 100644 include/lapack.h create mode 100644 src/materials/Ogden.cpp diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 0414f7c8..0fd87b5e 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -69,7 +69,7 @@ int main(int argc, char **argv) { dt = 0.0; double tMax = 1.00; // max simulation time in seconds - double dMax = 0.007; // max displacment in meters + double dMax = 0.005; // max displacment in meters int time_step_counter = 0; /** Central Difference Method - Beta and Gamma */ diff --git a/examples/ex9/materials.dat b/examples/ex9/materials.dat index 18748dc5..910b717b 100644 --- a/examples/ex9/materials.dat +++ b/examples/ex9/materials.dat @@ -1,9 +1,15 @@ -0 1 1040 100.0 100.00 +0 7 1040 9.996667e5 2 10.1 53.8 -12.9 -120.4 # form of file # partID (starting at 0), material ID (goes with consitutive model), ... # n properties (reads MAXMATPARAMS defined in GlobalVariables.h) +# mat ID 0 - Specified rigid-body motion : density # mat ID 1 - CompressibleNeoHookean props: density mu lambda # mat ID 2 - St. Venant props : density mu lambda +# mat ID 3 - Linear Elasticity : density mu lambda +# mat ID 4 - HGO Isotropic : density mu lambda k1 k2 +# mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 lambda k1 k2 g1 t1 g2 t2 +# g1 t1 and g2 t2 are pairs of 2 term Prony series +# mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N diff --git a/include/FemTech.h b/include/FemTech.h index 49d89684..236b25a9 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -78,6 +78,7 @@ void CompressibleNeoHookean(int e, int gp); void LinearElastic(int e, int gp); void HGOIsotropic(int e, int gp); void HGOIsotropicViscoelastic(int e, int gp); +void Ogden(int e, int gp); void inverse3x3Matrix(double* mat, double* invMat, double* det); //void MultiplyMatrices(double* a, double* b, int sizeM, double* result); @@ -97,6 +98,7 @@ void quaternionRotate(double *v, double *R, double *Rinv, double* vp); double compute95thPercentileValueBruteForce(double* dataArray, int localSize); double compute95thPercentileValue(double* dataArray, int localSize); void test95Percentile(void); +void dyadic(const double* const, const double, double * const); void CheckEnergy(double time, int writeFlag); diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index 692348a5..868f6187 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -3,15 +3,16 @@ /* Currently HGO Isotropic model uses 5 properties + 4 properties for * viscoelastic properties*/ -static int MAXMATPARAMS = 9; /* maximum number of material parameters stored for each element */ -static int MAXINTERNALVARS = 5; /* max internal variables per gauss point */ -static int MAXPLOTSTEPS = 1000; /* maximum plot output steps */ +static const int MAXMATPARAMS = 9; /* maximum number of material parameters stored for each element */ +static const int MAXINTERNALVARS = 5; /* max internal variables per gauss point */ +static const int MAXPLOTSTEPS = 1000; /* maximum plot output steps */ +static const int MAXOGDEN = 3; /* maximum terms for Ogden material model */ /* Weights for parmetis generated by running Benchmark in the order of material ID */ -static int materialWeight[] = {1, 10, 10, 10, 15, 20}; +static const int materialWeight[] = {1, 10, 10, 10, 15, 20, 10, 20}; /* Weights based on element type 0 = C3D8, 1 = C3D4, 2 = T3D2 */ -static std::map elemID = {{"C3D8", 0}, {"C3D4", 1}, {"T3D2", 2}}; -static int elemWeight[] = {2, 1, 1}; +static const std::map elemID = {{"C3D8", 0}, {"C3D4", 1}, {"T3D2", 2}}; +static const int elemWeight[] = {2, 1, 1}; const double huge = 1e20; diff --git a/include/lapack.h b/include/lapack.h new file mode 100644 index 00000000..4a19152a --- /dev/null +++ b/include/lapack.h @@ -0,0 +1,28 @@ +#ifndef INCLUDE_LAPACK_H_ +#define INCLUDE_LAPACK_H_ + +// Variables for blas +static const char* jobzV = (char*)"V"; +static const char* rangeA = (char*)"A"; +static const char* uploU = (char*)"U"; +static const double dStart = 0; +static const int iStart = 0; +static const double eigenTol = 1e-12; +static int info; + +extern "C" { + /* DSYEVR prototype */ + extern void dsyevr_(const char* const jobz, const char* const range, + const char* const uplo, const int* const n, double* const a, + const int* const lda, const double* const vl, const double* const vu, + const int* const il, const int* const iu, const double* const abstol, + int* const m, double* const w, double* const z, const int* const ldz, + int* const isuppz, double* const work, const int* const lwork, + int* const iwork, const int* const liwork, int* const info); + extern void dger_(const int* const M, const int* const N, + const double* const alpha, const double* const X, const int* const incX, + const double* const Y, const int* const incY, double* const A, + const int* const lda); +} + +#endif // INCLUDE_LAPACK_H_ diff --git a/src/fem/AllocateArrays.cpp b/src/fem/AllocateArrays.cpp index 332a952c..037772d3 100644 --- a/src/fem/AllocateArrays.cpp +++ b/src/fem/AllocateArrays.cpp @@ -133,10 +133,10 @@ void AllocateArrays() { } // Allocations for material temporary computation // By default initialize mat1 and mat2 - // If HGO or Linear Elastic material model present, allocate mat3 and mat4 + // If HGO, Linear Elastic or Ogden material model present, allocate mat3 and mat4 int matCount = 2; for (int i = 0; i < nPIDglobal; ++i) { - if (materialID[i] == 3 || materialID[i] == 4 || materialID[i] == 5) { + if (materialID[i] == 3 || materialID[i] == 4 || materialID[i] == 5 || materialID[i] == 7) { matCount = 4; break; } diff --git a/src/fem/SolidMechanics/StressUpdate.cpp b/src/fem/SolidMechanics/StressUpdate.cpp index 7dad85e9..9199f137 100644 --- a/src/fem/SolidMechanics/StressUpdate.cpp +++ b/src/fem/SolidMechanics/StressUpdate.cpp @@ -22,6 +22,9 @@ void StressUpdate(int e, int gp){ case 5 : // HGO with isotropic fiber distribution and viscoelasticity HGOIsotropicViscoelastic(e, gp); break; + case 7 : // Ogden + Ogden(e, gp); + break; default : FILE_LOG_SINGLE(ERROR, "Unknown material type"); TerminateFemTech(1); } diff --git a/src/io/input/ReadMaterials.cpp b/src/io/input/ReadMaterials.cpp index 7513bb6e..124a4340 100644 --- a/src/io/input/ReadMaterials.cpp +++ b/src/io/input/ReadMaterials.cpp @@ -40,6 +40,7 @@ void ReadMaterials() { count = fscanf(File, "%d", &materialID[partID]); assert(count == 1); int index = partID * MAXMATPARAMS; + int nTerms = 0; switch (materialID[partID]) { case 0 :// Rigid body // properties[0] = density @@ -120,6 +121,26 @@ void ReadMaterials() { // properties[index + 5], properties[index + 6], properties[index + 7], // properties[index + 8]); break; + case 7 :// Ogden model with max N = 3 + // properties[0] = density + // properties[1] = K + // properties[2] = nOgden : number of terms in ogden series (max 3) + // properties[3+2*i] = \alpha_i + // properties[4+2*i] = \mu_i + count = fscanf(File, "%lf %lf %lf", &properties[index + 0], + &properties[index + 1], &properties[index + 2]); + assert(count == 3); + nTerms = static_cast(properties[index+2]); + if (nTerms > 3) { + FILE_LOG_SINGLE(ERROR, "Material ID 7 (Ogden), Number of Terms = %d > 3", nTerms); + TerminateFemTech(3); + } + for (int j = 0; j < nTerms; ++j) { + count = fscanf(File, "%lf %lf", &properties[index + 3 + 2*j], + &properties[index + 4 + 2*j]); + assert(count == 2); + } + break; default :FILE_LOG_SINGLE(ERROR, "Material ID for Part %d not found", partID); TerminateFemTech(3); } diff --git a/src/materials/CMakeLists.txt b/src/materials/CMakeLists.txt index e1441361..fec99223 100644 --- a/src/materials/CMakeLists.txt +++ b/src/materials/CMakeLists.txt @@ -5,6 +5,7 @@ Set(materials_src LinearElastic.cpp HGOIsotropic.cpp HGOIsotropicViscoelastic.cpp + Ogden.cpp ) add_library(materials OBJECT ${materials_src}) diff --git a/src/materials/Ogden.cpp b/src/materials/Ogden.cpp new file mode 100644 index 00000000..e9a21efe --- /dev/null +++ b/src/materials/Ogden.cpp @@ -0,0 +1,114 @@ +#include "FemTech.h" +#include "blas.h" +#include "lapack.h" + +#include + +/* Implements the Ogden Model + * Expected material properties : + * \rho = properties(0) + * \mu = properties(1) + * \lambda = properties(2) + * */ + +void Ogden(int e, int gp) { + if (ndim == 2) { + FILE_LOG_SINGLE(ERROR, "Plane Strain implementation yet to be done"); + TerminateFemTech(3); + } + // Assumes ndim == 3 + // Pointer to start of deformation gradient matrix for given element number + // and Gauss point + const int index = fptr[e] + ndim * ndim * gp; + double J = detF[detFptr[e] + gp]; + // Get material property ID to read material properties + const int pideIndex = pid[e]*MAXMATPARAMS; + // Get location of array with material properties of the element + const double* localProperties = &(properties[pideIndex]); + // Read material properties + const double K = localProperties[1]; + const int nTerm = static_cast(localProperties[2]); + + double * const F_element_gp = &(F[index]); + // Use temp storage mat1 for Finverse + double *fInv = mat1; + // Compute F inverse + InverseF(e, gp, fInv); + // Use temp storage 2 for storing Bmat + double *Bmat = mat2; + // Compute B = FF^T and compute its eigen values + dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, + F_element_gp, &ndim, &zero, Bmat, &ndim); + double matSize = ndim * ndim; + // Compute eigen values and eigenvectors of B + int nEigen; + double cEigenValue[ndim]; + double cEigenVector[ndim*ndim]; + int dWorkN = ndim*30; + int iWorkN = 15*ndim; + double dWork[dWorkN]; + int iWork[iWorkN]; + int iSuppZ[2*ndim]; + dsyevr_(jobzV, rangeA, uploU, &ndim, Bmat, &ndim, &dStart, &dStart, \ + &iStart, &iStart, &eigenTol, &nEigen, cEigenValue, cEigenVector, \ + &ndim, iSuppZ, dWork, &dWorkN, iWork, &iWorkN, &info); + // Compute sqrt of lambda and multiply by J^{-1/3} + const double Jm13 = pow(J, -1.0/3.0); + for (int i = 0; i < ndim; ++i) { + cEigenValue[i] = sqrt(cEigenValue[i])*Jm13; + } + // Compute F^-1(cEigenVector) + // Each column of basisVec points to F^{-1}*e where e is the eigen vector of B + // matrix + double *basisVec = mat3; + dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, + cEigenVector, &ndim, &zero, basisVec, &ndim); + + double *Smat = mat4; + for (int i = 0; i < matSize; ++i) { + Smat[i] = 0.0; + } + const double hydro = K*(J-1.0); + double eigenPower[ndim]; + for (int i = 0; i < ndim; ++i) { + double preFactor = 0.0; + for (int j = 0; j < nTerm; ++j) { + double alpha = localProperties[3+j*2]; + double mu = localProperties[4+j*2]; + double eigenSum = 0.0; + for (int k = 0; k < ndim; ++k) { + const double t1 = pow(cEigenValue[k], alpha); + eigenPower[k] = t1; + eigenSum = eigenSum + t1; + } + eigenSum = eigenSum/(-3.0); + preFactor = mu*(eigenPower[i]-eigenSum); + } + preFactor += hydro; + dyadic(&basisVec[3*i], preFactor, Smat); + } + + // Get location of array to store PK2 values + double * pk2Local = &(pk2[pk2ptr[e]+6*gp]); + // 6 values saved per gauss point for 3d + // in voigt notation, sigma11 + pk2Local[0] = Smat[0]; + // in voigt notation, sigma22 + pk2Local[1] = Smat[4]; + // in voigt notation, sigma33 + pk2Local[2] = Smat[8]; + // in voigt notation, sigma23 + pk2Local[3] = Smat[7]; + // in voigt notation, sigma13 + pk2Local[4] = Smat[6]; + // in voigt notation, sigma12 + pk2Local[5] = Smat[3]; + +#ifdef DEBUG + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); + for(int i=0;i<6;i++){ + int indexD = pk2ptr[e]+6*gp+i; + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "PK2[%d] = %10.6e", indexD, pk2[indexD]); + } +#endif //DEBUG +} diff --git a/src/math/math.cpp b/src/math/math.cpp index cf74bb64..786a6426 100644 --- a/src/math/math.cpp +++ b/src/math/math.cpp @@ -1,5 +1,6 @@ #include "FemTech.h" #include "blas.h" +#include "lapack.h" #include #include @@ -385,3 +386,8 @@ void test95Percentile(void) { free(sendLocation); } } + +// Computes mat = mat + \alpha*(x*x^T) +void dyadic(const double* const vector, const double preFactor, double * const mat) { + dger_(&ndim, &ndim, &preFactor, vector, &oneI, vector, &oneI, mat, &ndim); +} From c06d83d09271903b5b4aa619580fd214c52acbf9 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 18 Nov 2020 12:23:21 +0530 Subject: [PATCH 020/106] Added validation files wo viscoelasticity --- examples/ex9/CMakeLists.txt | 1 + examples/ex9/gnuplot.script | 4 +- examples/ex9/ls-dyna/1-elt-ogden-2.txt | 52 ++++++++++++++++++++++++++ examples/ex9/ls-dyna/1-elt-ogden.txt | 52 ++++++++++++++++++++++++++ examples/ex9/materials.dat | 4 +- 5 files changed, 110 insertions(+), 3 deletions(-) create mode 100644 examples/ex9/ls-dyna/1-elt-ogden-2.txt create mode 100644 examples/ex9/ls-dyna/1-elt-ogden.txt diff --git a/examples/ex9/CMakeLists.txt b/examples/ex9/CMakeLists.txt index 447d5181..237196d7 100644 --- a/examples/ex9/CMakeLists.txt +++ b/examples/ex9/CMakeLists.txt @@ -17,6 +17,7 @@ file(INSTALL gnuplot.script DESTINATION .) file(INSTALL gnuplotEnergy.script DESTINATION .) file(INSTALL README.md DESTINATION .) file(INSTALL abaqus DESTINATION .) +file(INSTALL ls-dyna DESTINATION .) file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results) file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results/vtu) diff --git a/examples/ex9/gnuplot.script b/examples/ex9/gnuplot.script index 5f1288b7..9b379678 100644 --- a/examples/ex9/gnuplot.script +++ b/examples/ex9/gnuplot.script @@ -48,7 +48,7 @@ set key left top set key font ",18" set term pngcairo dashed notransparent size 1200,960 dashlength .4 set output "plot.png" -plot "abaqus/abaqus.rpt" every ::4 using 1:11 ls 3 title "ABAQUS DispX", \ - "abaqus/abaqus.rpt" every ::4 using 1:12 ls 4 title "ABAQUS DispY", \ +plot "1-elt-ogden-2.txt" using 1:2 ls 3 title "LS-DYNA DispX", \ + "1-elt-ogden-2.txt" using 1:3 ls 4 title "LS-DYNA DispY", \ "plot.dat" using 1:2 ls 1 title "FEMTECH DispX", \ "plot.dat" using 1:3 ls 2 title "FEMTECH DispY" diff --git a/examples/ex9/ls-dyna/1-elt-ogden-2.txt b/examples/ex9/ls-dyna/1-elt-ogden-2.txt new file mode 100644 index 00000000..271357f6 --- /dev/null +++ b/examples/ex9/ls-dyna/1-elt-ogden-2.txt @@ -0,0 +1,52 @@ + 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 + 1.9996944815e-02 -4.9242749810e-05 9.9984928966e-05 -4.9242749810e-05 + 3.9990171790e-02 -9.7063370049e-05 1.9995076582e-04 -9.7063370049e-05 + 5.9995632619e-02 -1.4355126768e-04 2.9997806996e-04 -1.4355173334e-04 + 7.9993367195e-02 -1.8871761858e-04 3.9996672422e-04 -1.8871761858e-04 + 9.9995911121e-02 -2.3260992020e-04 4.9997959286e-04 -2.3260898888e-04 + 1.1999176443e-01 -2.7534691617e-04 5.9995893389e-04 -2.7534598485e-04 + 1.3999396563e-01 -3.1703384593e-04 6.9996993989e-04 -3.1703151762e-04 + 1.5999186039e-01 -3.5756547004e-04 7.9995952547e-04 -3.5756686702e-04 + 1.7999550700e-01 -3.9703212678e-04 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7.3999381065e-01 -1.2092927936e-03 3.6999685690e-03 -1.2092250399e-03 + 7.5999671221e-01 -1.2309008744e-03 3.7999833003e-03 -1.2308543082e-03 + 7.7999424934e-01 -1.2521499302e-03 3.8999710232e-03 -1.2520863675e-03 + 7.9999518394e-01 -1.2730536982e-03 3.9999755099e-03 -1.2730280869e-03 + 8.1999874115e-01 -1.2936317362e-03 4.0999930352e-03 -1.2935954146e-03 + 8.3999276161e-01 -1.3138505165e-03 4.1999630630e-03 -1.3137587812e-03 + 8.5999298096e-01 -1.3336844277e-03 4.2999647558e-03 -1.3336041011e-03 + 8.7999320030e-01 -1.3531558216e-03 4.3999655172e-03 -1.3531476725e-03 + 8.9999347925e-01 -1.3723641168e-03 4.4999672100e-03 -1.3723014854e-03 + 9.1999912262e-01 -1.3912359718e-03 4.5999949798e-03 -1.3912089635e-03 + 9.3999898434e-01 -1.4098896645e-03 4.6999948099e-03 -1.4097772073e-03 + 9.5999282598e-01 -1.4282264747e-03 4.7999639064e-03 -1.4281505719e-03 + 9.7999435663e-01 -1.4463285916e-03 4.8999711871e-03 -1.4462287072e-03 + 9.9999278784e-01 -1.4641457237e-03 4.9999635667e-03 -1.4640933368e-03 + 1.0000005960e+00 -1.4641529415e-03 5.0000026822e-03 -1.4641010202e-03 diff --git a/examples/ex9/ls-dyna/1-elt-ogden.txt b/examples/ex9/ls-dyna/1-elt-ogden.txt new file mode 100644 index 00000000..e796e344 --- /dev/null +++ b/examples/ex9/ls-dyna/1-elt-ogden.txt @@ -0,0 +1,52 @@ + 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 + 1.9941696897e-02 -4.9063004553e-05 9.9708326161e-05 1.2147471716e-04 + 3.9999634027e-02 -9.6983276308e-05 1.9999826327e-04 2.4250942806e-04 + 5.9931702912e-02 -1.4325138181e-04 2.9965862632e-04 3.6171425018e-04 + 7.9968266189e-02 -1.8846290186e-04 3.9984146133e-04 4.8053031787e-04 + 9.9899493158e-02 -2.3220106959e-04 4.9949763343e-04 5.9777335264e-04 + 1.1988714337e-01 -2.7488358319e-04 5.9943553060e-04 7.1445462527e-04 + 1.3997134566e-01 -3.1663151458e-04 6.9985678419e-04 8.3084963262e-04 + 1.5997368097e-01 -3.5712262616e-04 7.9986825585e-04 9.4597251154e-04 + 1.7994469404e-01 -3.9651058614e-04 8.9972326532e-04 1.0601627873e-03 + 1.9999067485e-01 -4.3504545465e-04 9.9995359778e-04 1.1740697082e-03 + 2.1997682750e-01 -4.7250837088e-04 1.0998840444e-03 1.2869639322e-03 + 2.3990464211e-01 -5.0894776359e-04 1.1995234527e-03 1.3988971477e-03 + 2.5994250178e-01 -5.4470216855e-04 1.2997123413e-03 1.5108461957e-03 + 2.7989694476e-01 -5.7945540175e-04 1.3994849287e-03 1.6217583325e-03 + 2.9988828301e-01 -6.1344914138e-04 1.4994414523e-03 1.7323307693e-03 + 3.1994172931e-01 -6.4675835893e-04 1.5997085720e-03 1.8427333562e-03 + 3.3991265297e-01 -6.7916791886e-04 1.6995631158e-03 1.9521918148e-03 + 3.5996419191e-01 -7.1096466854e-04 1.7998209223e-03 2.0616254769e-03 + 3.7992027402e-01 -7.4190367013e-04 1.8996014260e-03 2.1700980142e-03 + 3.9999449253e-01 -7.7232578769e-04 1.9999723881e-03 2.2787861526e-03 + 4.1991990805e-01 -8.0185988918e-04 2.0995996892e-03 2.3862679955e-03 + 4.3993017077e-01 -8.3087338135e-04 2.1996507421e-03 2.4938262068e-03 + 4.5991414785e-01 -8.5921259597e-04 2.2995709442e-03 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4.0692077018e-03 + 7.5989371538e-01 -1.2186304666e-03 3.7994682789e-03 4.1720592417e-03 + 7.7995598316e-01 -1.2386797462e-03 3.8997801021e-03 4.2751557194e-03 + 7.9991304874e-01 -1.2581620831e-03 3.9995657280e-03 4.3774968944e-03 + 8.1996673346e-01 -1.2772788759e-03 4.0998337790e-03 4.4801267795e-03 + 8.3991920948e-01 -1.2958208099e-03 4.1995961219e-03 4.5820213854e-03 + 8.5990828276e-01 -1.3139406219e-03 4.2995419353e-03 4.6839010902e-03 + 8.7999057770e-01 -1.3316604309e-03 4.3999534100e-03 4.7860448249e-03 + 8.9996540546e-01 -1.3488724362e-03 4.4998275116e-03 4.8874705099e-03 + 9.1994494200e-01 -1.3655633666e-03 4.5997248963e-03 4.9886852503e-03 + 9.3993669748e-01 -1.3818477746e-03 4.6996837482e-03 5.0897970796e-03 + 9.5993643999e-01 -1.3976609334e-03 4.7996826470e-03 5.1907422021e-03 + 9.7996360064e-01 -1.4129739720e-03 4.8998184502e-03 5.2916165441e-03 + 9.9990671873e-01 -1.4278201852e-03 4.9995332956e-03 5.3919078782e-03 + 1.0000020266e+00 -1.4278530143e-03 5.0000101328e-03 5.3923679516e-03 diff --git a/examples/ex9/materials.dat b/examples/ex9/materials.dat index 910b717b..4f7505ac 100644 --- a/examples/ex9/materials.dat +++ b/examples/ex9/materials.dat @@ -1,4 +1,6 @@ -0 7 1040 9.996667e5 2 10.1 53.8 -12.9 -120.4 +0 7 1040 2.1e9 2 10.1 53.8 -12.9 -120.4 + +# 0 7 1040 9.996667e5 2 10.1 53.8 -12.9 -120.4 # form of file From 150f8fb8cbbd6471e23501b2d0fa33084b9e7f75 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 23 Nov 2020 12:22:38 +0530 Subject: [PATCH 021/106] Partially completetd Ogden Viscoelastic --- include/GlobalVariables.h | 4 +- src/fem/ShapeFunctions/ShapeFunctions.cpp | 4 +- src/io/input/ReadMaterials.cpp | 34 +++++ src/materials/Ogden.cpp | 8 +- src/materials/OgdenViscoelastic.cpp | 156 ++++++++++++++++++++++ 5 files changed, 200 insertions(+), 6 deletions(-) create mode 100644 src/materials/OgdenViscoelastic.cpp diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index 868f6187..15547dbf 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -1,9 +1,9 @@ #include #include -/* Currently HGO Isotropic model uses 5 properties + 4 properties for +/* Currently Ogden model uses 9 properties + 13 properties for * viscoelastic properties*/ -static const int MAXMATPARAMS = 9; /* maximum number of material parameters stored for each element */ +static const int MAXMATPARAMS = 22; /* maximum number of material parameters stored for each element */ static const int MAXINTERNALVARS = 5; /* max internal variables per gauss point */ static const int MAXPLOTSTEPS = 1000; /* maximum plot output steps */ static const int MAXOGDEN = 3; /* maximum terms for Ogden material model */ diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index ebe12cc8..e82e9ff0 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -242,8 +242,10 @@ void ShapeFunctions() { B = (double*)malloc(Bsize*sizeof(double)); // Allocate arrays specific to viscoelastic material // Check if viscoelastic material is used + // TODO(Anil) : This allocation can be made only for elements with + // Viscoelastic properties, currently all elements are used for (int i = 0; i < nPIDglobal; ++i) { - if (materialID[i] == 5) { + if (materialID[i] == 5 || materialID[i] == 8) { // Allocated and set to zero for first time step Hn_1 = (double *)calloc(F_counter, sizeof(double)); Hn_2 = (double *)calloc(F_counter, sizeof(double)); diff --git a/src/io/input/ReadMaterials.cpp b/src/io/input/ReadMaterials.cpp index 124a4340..289c63e9 100644 --- a/src/io/input/ReadMaterials.cpp +++ b/src/io/input/ReadMaterials.cpp @@ -41,6 +41,7 @@ void ReadMaterials() { assert(count == 1); int index = partID * MAXMATPARAMS; int nTerms = 0; + int nProny = 0; switch (materialID[partID]) { case 0 :// Rigid body // properties[0] = density @@ -141,6 +142,39 @@ void ReadMaterials() { assert(count == 2); } break; + case 8 :// Ogden Viscoelastic model with max N = 3, max N Prony = 6 + /* \rho = properties(0) + * K = properties(1) + * N_{Ogden} = properties(2), maximum value of 3 + * \alpha_i = properties(3+2*i) i = 0 to N_{Ogden}-1 + * \mu_i = properties(4+2*i) i = 0 to N_{Ogden}-1 + * N_{Prony} = properties(3+N_{prony}*2), maximum value of 6 + * g_i = properties(4+2*N_{prony}+2*j) j = 0 to N_{Prony}-1 + * \tau_i = properties(5+2*N_{prony}+2*j) j = 0 to N_{Prony}-1 + * MAXMATPARAMS = 4+2*(N_{Ogden}+N_{Prony}) = 22 + * */ + count = fscanf(File, "%lf %lf %lf", &properties[index + 0], + &properties[index + 1], &properties[index + 2]); + assert(count == 3); + nTerms = static_cast(properties[index+2]); + if (nTerms > 3) { + FILE_LOG_SINGLE(ERROR, "Material ID 7 (Ogden), Number of Terms = %d > 3", nTerms); + TerminateFemTech(3); + } + for (int j = 0; j < nTerms; ++j) { + count = fscanf(File, "%lf %lf", &properties[index + 3 + 2*j], + &properties[index + 4 + 2*j]); + assert(count == 2); + } + count = fscanf(File, "%lf", &properties[index + 3 + 2*nTerms]); + assert(count == 1); + nProny = static_cast(properties[index+3+2*nTerms]); + for (int j = 0; j < nProny; ++j) { + count = fscanf(File, "%lf %lf", &properties[index + 4 + 2*nTerms + 2*j], + &properties[index + 5 + 2*nTerms + 2*j]); + assert(count == 2); + } + break; default :FILE_LOG_SINGLE(ERROR, "Material ID for Part %d not found", partID); TerminateFemTech(3); } diff --git a/src/materials/Ogden.cpp b/src/materials/Ogden.cpp index e9a21efe..a878f0bc 100644 --- a/src/materials/Ogden.cpp +++ b/src/materials/Ogden.cpp @@ -6,9 +6,11 @@ /* Implements the Ogden Model * Expected material properties : - * \rho = properties(0) - * \mu = properties(1) - * \lambda = properties(2) + * \rho = properties(0) + * K = properties(1) + * N_{ogden} = properties(2) + * \alpha_i = properties(3+2*i) i = 0 to N_{ogden} + * \mu_i = properties(4+2*i) i = 0 to N_{ogden} * */ void Ogden(int e, int gp) { diff --git a/src/materials/OgdenViscoelastic.cpp b/src/materials/OgdenViscoelastic.cpp new file mode 100644 index 00000000..f8972d81 --- /dev/null +++ b/src/materials/OgdenViscoelastic.cpp @@ -0,0 +1,156 @@ +#include "FemTech.h" +#include "blas.h" +#include "lapack.h" + +#include + +/* Implements the Ogden Model + * Expected material properties : + * \rho = properties(0) + * K = properties(1) + * N_{Ogden} = properties(2), maximum value of 3 + * \alpha_i = properties(3+2*i) i = 0 to N_{Ogden}-1 + * \mu_i = properties(4+2*i) i = 0 to N_{Ogden}-1 + * N_{Prony} = properties(3+N_{Ogden}*2), maximum value of 6 + * g_i = properties(4+2*N_{Ogden}+2*j) j = 0 to N_{Prony}-1 + * \tau_i = properties(5+2*N_{Ogden}+2*j) j = 0 to N_{Prony}-1 + * MAXMATPARAMS = 4+2*(N_{Ogden}+N_{Prony}) = 22 + * */ + +void Ogden(int e, int gp) { + if (ndim == 2) { + FILE_LOG_SINGLE(ERROR, "Plane Strain implementation yet to be done"); + TerminateFemTech(3); + } + // Assumes ndim == 3 + // Pointer to start of deformation gradient matrix for given element number + // and Gauss point + const int index = fptr[e] + ndim * ndim * gp; + double J = detF[detFptr[e] + gp]; + // Get material property ID to read material properties + const int pideIndex = pid[e]*MAXMATPARAMS; + // Get location of array with material properties of the element + const double* localProperties = &(properties[pideIndex]); + // Read material properties + const double K = localProperties[1]; + const int nTerm = static_cast(localProperties[2]); + + double * const F_element_gp = &(F[index]); + // Use temp storage mat1 for Finverse + double *fInv = mat1; + // Compute F inverse + InverseF(e, gp, fInv); + // Use temp storage 2 for storing Bmat + double *Bmat = mat2; + // Compute B = FF^T and compute its eigen values + dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, + F_element_gp, &ndim, &zero, Bmat, &ndim); + double matSize = ndim * ndim; + // Compute eigen values and eigenvectors of B + int nEigen; + double cEigenValue[ndim]; + double cEigenVector[ndim*ndim]; + int dWorkN = ndim*30; + int iWorkN = 15*ndim; + double dWork[dWorkN]; + int iWork[iWorkN]; + int iSuppZ[2*ndim]; + dsyevr_(jobzV, rangeA, uploU, &ndim, Bmat, &ndim, &dStart, &dStart, \ + &iStart, &iStart, &eigenTol, &nEigen, cEigenValue, cEigenVector, \ + &ndim, iSuppZ, dWork, &dWorkN, iWork, &iWorkN, &info); + // Compute sqrt of lambda and multiply by J^{-1/3} + const double Jm13 = pow(J, -1.0/3.0); + for (int i = 0; i < ndim; ++i) { + cEigenValue[i] = sqrt(cEigenValue[i])*Jm13; + } + // Compute F^-1(cEigenVector) + // Each column of basisVec points to F^{-1}*e where e is the eigen vector of B + // matrix + double *basisVec = mat3; + dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, + cEigenVector, &ndim, &zero, basisVec, &ndim); + + double *S = mat4; + for (int i = 0; i < matSize; ++i) { + S[i] = 0.0; + } + const double hydro = K*(J-1.0); + double eigenPower[ndim]; + for (int i = 0; i < ndim; ++i) { + double preFactor = 0.0; + for (int j = 0; j < nTerm; ++j) { + double alpha = localProperties[3+j*2]; + double mu = localProperties[4+j*2]; + double eigenSum = 0.0; + for (int k = 0; k < ndim; ++k) { + const double t1 = pow(cEigenValue[k], alpha); + eigenPower[k] = t1; + eigenSum = eigenSum + t1; + } + eigenSum = eigenSum/(-3.0); + preFactor = mu*(eigenPower[i]-eigenSum); + } + preFactor += hydro; + dyadic(&basisVec[3*i], preFactor, S); + } + double *Cmat = mat2; + dgemm_(chy, chn, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, + F_element_gp, &ndim, &zero, Cmat, &ndim); + // compute the double dot product C:S + double SddC = 0.0; + for (int i = 0; i < matSize; ++i) { + SddC += Cmat[i]*S[i]; + } + // Compute isochoric part : Sic = 1/3(C:S)inv(C) + SddC = SddC/3.0; + // Compute Inverse of C, inv(C) = inv(F)*inv(F)^T + double* Sic = mat3; // Reuse mat3 for storing isochoric part of S + dgemm_(chn, chy, &ndim, &ndim, &ndim, &SddC, fInv, &ndim, + fInv, &ndim, &zero, Sic, &ndim); + double *Sdev = mat1; // Reuse mat1 to store deviatoric part of S + for (int i = 0; i < matSize; ++i) { + Sdev[i] = S[i]-Sic[i]; + } + // Access histroy dependence + double *Hn_1Local = &(Hn_1[index]); + double *Hn_2Local = &(Hn_2[index]); + double *S0nLocal = &(S0n[index]); + // Compute c1i = exp(-dt/t_i) and C2i = g_i (1-exp(-dt/t_i))/(dt/t_i) + const double rt1 = dt/t1; + const double rt2 = dt/t2; + const double c11 = exp(-rt1); + const double c12 = exp(-rt2); + const double c21 = g1*(1-c11)/rt1; + const double c22 = g2*(1-c12)/rt2; + // Update H_j^{n+1} = c1j*H_j^n + c2j*[Dev S_0^{n+1} - S_0^n] + // Update S^{n+1} = S_0^{n+1} + \sum_j H_j^{n+1} + for (int i = 0; i < matSize; ++i) { + Hn_1Local[i] = c11*Hn_1Local[i]+c21*(Sdev[i]-S0nLocal[i]); + Hn_2Local[i] = c12*Hn_2Local[i]+c22*(Sdev[i]-S0nLocal[i]); + S[i] = S[i] + Hn_1Local[i] + Hn_2Local[i]; + } + + // Get location of array to store PK2 values + double * pk2Local = &(pk2[pk2ptr[e]+6*gp]); + // 6 values saved per gauss point for 3d + // in voigt notation, sigma11 + pk2Local[0] = S[0]; + // in voigt notation, sigma22 + pk2Local[1] = S[4]; + // in voigt notation, sigma33 + pk2Local[2] = S[8]; + // in voigt notation, sigma23 + pk2Local[3] = S[7]; + // in voigt notation, sigma13 + pk2Local[4] = S[6]; + // in voigt notation, sigma12 + pk2Local[5] = S[3]; + +#ifdef DEBUG + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); + for(int i=0;i<6;i++){ + int indexD = pk2ptr[e]+6*gp+i; + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "PK2[%d] = %10.6e", indexD, pk2[indexD]); + } +#endif //DEBUG +} From bfb37e0129af15abfcfe8ca072e253a28d7d2890 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 24 Nov 2020 10:25:37 +0530 Subject: [PATCH 022/106] Added viscoelastic model to Ogden Updated HGO viscoelasticity --- examples/ex9/ex9.cpp | 2 + examples/ex9/materials.dat | 3 +- include/FemTech.h | 1 + include/GlobalVariables.h | 7 +- src/fem/AllocateArrays.cpp | 2 +- src/fem/ShapeFunctions/ShapeFunctions.cpp | 75 ++++++++++++---------- src/fem/SolidMechanics/StressUpdate.cpp | 3 + src/io/input/ReadMaterials.cpp | 20 +++--- src/io/output/FreeArrays.cpp | 4 +- src/materials/CMakeLists.txt | 1 + src/materials/HGOIsotropicViscoelastic.cpp | 32 ++++----- src/materials/Ogden.cpp | 26 ++++---- src/materials/OgdenViscoelastic.cpp | 51 +++++++++------ 13 files changed, 129 insertions(+), 98 deletions(-) diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 0fd87b5e..82a73de5 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -1,6 +1,7 @@ #include "FemTech.h" #include +#include /*Delare Functions*/ void ApplyBoundaryConditions(double dMax, double tMax); @@ -17,6 +18,7 @@ bool ImplicitDynamic = false; bool ExplicitDynamic = true; int main(int argc, char **argv) { + feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); InitFemTechWoInput(argc, argv); ReadInputFile(argv[1]); diff --git a/examples/ex9/materials.dat b/examples/ex9/materials.dat index 4f7505ac..4d14390d 100644 --- a/examples/ex9/materials.dat +++ b/examples/ex9/materials.dat @@ -1,4 +1,4 @@ -0 7 1040 2.1e9 2 10.1 53.8 -12.9 -120.4 +0 8 1040 2.1e9 2 10.1 53.8 -12.9 -120.4 6 0.768587 1e-6 0.1873432 1e-5 0.01489138 1e-4 0.019214683 1e-3 2.4018354e-4 1e-2 7.205506e-3 0.1 # 0 7 1040 9.996667e5 2 10.1 53.8 -12.9 -120.4 @@ -15,3 +15,4 @@ # mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 lambda k1 k2 g1 t1 g2 t2 # g1 t1 and g2 t2 are pairs of 2 term Prony series # mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N +# mat ID 8 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M diff --git a/include/FemTech.h b/include/FemTech.h index 2f410454..aff7bf2d 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -79,6 +79,7 @@ void LinearElastic(int e, int gp); void HGOIsotropic(int e, int gp); void HGOIsotropicViscoelastic(int e, int gp); void Ogden(int e, int gp); +void OgdenViscoelastic(int e, int gp); void Viscoelastic(int e, int gp); void inverse3x3Matrix(double* mat, double* invMat, double* det); diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index 67346b73..028f3db8 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -9,7 +9,7 @@ static const int MAXPLOTSTEPS = 1000; /* maximum plot output steps */ static const int MAXOGDEN = 3; /* maximum terms for Ogden material model */ /* Weights for parmetis generated by running Benchmark in the order of material ID */ -static const int materialWeight[] = {1, 10, 10, 10, 15, 20, 10, 20}; +static const int materialWeight[] = {1, 10, 10, 10, 15, 20, 10, 20, 20}; /* Weights based on element type 0 = C3D8, 1 = C3D4, 2 = T3D2 */ static const std::map elemID = {{"C3D8", 0}, {"C3D4", 1}, {"T3D2", 2}}; static const int elemWeight[] = {2, 1, 1}; @@ -125,6 +125,5 @@ extern double *fintGQ; extern double *B; // Variables to store stress history in viscoelastic materials extern double **Hn; -extern double* S0n; -extern int *fptrViscous; -extern int nMax; +extern double **S0n; +extern int *nProny; diff --git a/src/fem/AllocateArrays.cpp b/src/fem/AllocateArrays.cpp index 037772d3..c5986adb 100644 --- a/src/fem/AllocateArrays.cpp +++ b/src/fem/AllocateArrays.cpp @@ -136,7 +136,7 @@ void AllocateArrays() { // If HGO, Linear Elastic or Ogden material model present, allocate mat3 and mat4 int matCount = 2; for (int i = 0; i < nPIDglobal; ++i) { - if (materialID[i] == 3 || materialID[i] == 4 || materialID[i] == 5 || materialID[i] == 7) { + if (materialID[i] == 3 || materialID[i] == 4 || materialID[i] == 5 || materialID[i] == 7 || materialID[i] == 8) { matCount = 4; break; } diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index 6361bdbd..dd14515d 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -11,7 +11,6 @@ int *GaussPoints; double *shp; double *dshp; //pointer for deriviatives of shp functions int *fptr; //pointer for incrementing through deformation gradient, F, detF, InvF, b, E -int *fptrViscous; int *nShapeFunctions; double *F; // deformation gradient array, F double *detF; // inverse of deformation gradient array @@ -28,16 +27,26 @@ double *gaussWeights; double *fintGQ; double *B; -double **Hn, *S0n; -int nMax = 0; // To store maximum number of terms in viscous Prony Series +double **Hn, **S0n; +int *nProny; // To store number of terms in viscous Prony Series void ShapeFunctions() { - for (int i = 0; i < nPIDglobal; ++i) { - if (materialID[i] == 5) { - int n = properties[MAXMATPARAMS*i+5]; - if (n > nMax) { - nMax = n; - } + nProny = (int *)calloc(nelements, sizeof(int)); + for (int i = 0; i < nelements; ++i) { + const int j = pid[i]; + if (materialID[j] == 5) { + nProny[i] = properties[MAXMATPARAMS*j+5]; + } + if (materialID[j] == 8) { + const int nOgden = properties[MAXMATPARAMS*j+2]; + nProny[i] = properties[MAXMATPARAMS*j+2*nOgden+3]; + } + } + bool viscoElastic = false; + for (int i = 0; i < nelements; ++i) { + if (nProny[i]) { + viscoElastic = true; + break; } } @@ -63,7 +72,6 @@ void ShapeFunctions() { pk2ptr = (int *)malloc((nelements+1) * sizeof(int)); detFptr = (int *)malloc((nelements+1) * sizeof(int)); InternalsPtr = (int *)malloc((nelements+1) * sizeof(int)); - fptrViscous = (int *)malloc((nelements+1) * sizeof(int)); int counter = 0; //counter for storage of shp nShapeFunctions int dshp_counter = 0; // counter for deriviatives of shp function @@ -73,22 +81,21 @@ void ShapeFunctions() { int detF_counter = 0; // counter for storage of detF for each element. int internals_counter = 0; //counter for storage of internals for each gauss point. - int F_counterViscous = 0; //counter for storage of Viscous history terms - gptr[0] = 0; dsptr[0] = 0; gpPtr[0] = 0; fptr[0]=0; pk2ptr[0]=0; detFptr[0]=0; - fptrViscous[0]=0; + + if (viscoElastic) { + Hn = (double**)malloc(nelements*sizeof(double*)); + S0n = (double**)malloc(nelements*sizeof(double*)); + } for (int i = 0; i < nelements; i++) { - bool viscousElement = false; - if (materialID[pid[i]] == 5) { - viscousElement = true; - } // Check if element is viscous + const int viscousCount = nProny[i]; if (strcmp(ElementType[i], "C3D8") == 0) { //GuassPoints per element gpCount = 8; @@ -118,8 +125,11 @@ void ShapeFunctions() { // we need a way to reference F as well (An fptr). Note F is not symmetric. // Also this counter will be used (as well as fptr) for detF, InvF, b and E. F_counter += 72; - if (viscousElement) { - F_counterViscous += 72; + if (viscousCount) { + const int F_counterViscous = 72; + S0n[i] = (double*)malloc(F_counterViscous*sizeof(double)); + // Allocate nProny number of Hn matrix + Hn[i] = (double*)malloc(F_counterViscous*viscousCount*sizeof(double)); } //the next counter is for the PK2 stress array @@ -154,9 +164,13 @@ void ShapeFunctions() { counter += 4; dshp_counter += 12; F_counter += 9; - if (viscousElement) { - F_counterViscous += 9; + if (viscousCount) { + const int F_counterViscous = 9; + S0n[i] = (double*)malloc(F_counterViscous*sizeof(double)); + // Allocate nProny number of Hn matrix + Hn[i] = (double*)malloc(F_counterViscous*viscousCount*sizeof(double)); } + pk2_counter += 6; // six positions for 3D, it is symmetric detF_counter +=1; internals_counter += MAXINTERNALVARS * GaussPoints[i]; @@ -176,8 +190,11 @@ void ShapeFunctions() { counter += nShapeFunctions[i]*gpCount; dshp_counter += (ndim * nShapeFunctions[i] * gpCount); F_counter += (ndim*ndim*gpCount); - if (viscousElement) { - F_counterViscous += (ndim*ndim*gpCount); + if (viscousCount) { + const int F_counterViscous = ndim*ndim*gpCount; + S0n[i] = (double*)malloc(F_counterViscous*sizeof(double)); + // Allocate nProny number of Hn matrix + Hn[i] = (double*)malloc(F_counterViscous*viscousCount*sizeof(double)); } pk2_counter += 6; // six positions for 3D, it is symmetric detF_counter += gpCount; // detF stored only at gauss point @@ -191,8 +208,6 @@ void ShapeFunctions() { pk2ptr[i+1] = pk2_counter; detFptr[i+1] = detF_counter; InternalsPtr[i+1]=internals_counter; - fptrViscous[i+1] = F_counterViscous; - } // loop on i, nelements // for debugging purposes @@ -270,15 +285,5 @@ void ShapeFunctions() { int Bsize = bColSize*cSize; fintGQ = (double*)malloc(bColSize*sizeof(double)); B = (double*)malloc(Bsize*sizeof(double)); - // Allocate arrays specific to viscoelastic material - // Check if viscoelastic material is used - if (nMax) { - // FILE_LOG(WARNING, "Maximum prony series size = %d", nMax); - Hn = (double**)malloc(nMax*sizeof(double)); - S0n = (double *)calloc(F_counterViscous, sizeof(double)); - for (unsigned int i = 0; i < nMax; ++i) { - Hn[i] = (double*)calloc(F_counterViscous, sizeof(double)); - } - } return; } diff --git a/src/fem/SolidMechanics/StressUpdate.cpp b/src/fem/SolidMechanics/StressUpdate.cpp index c0a26c2b..3aeb121c 100644 --- a/src/fem/SolidMechanics/StressUpdate.cpp +++ b/src/fem/SolidMechanics/StressUpdate.cpp @@ -28,6 +28,9 @@ void StressUpdate(int e, int gp){ case 7 : // Ogden Ogden(e, gp); break; + case 8 : // Ogden Viscoelastic + OgdenViscoelastic(e, gp); + break; default : FILE_LOG_SINGLE(ERROR, "Unknown material type"); TerminateFemTech(1); } diff --git a/src/io/input/ReadMaterials.cpp b/src/io/input/ReadMaterials.cpp index cc3990d2..a14bc8f1 100644 --- a/src/io/input/ReadMaterials.cpp +++ b/src/io/input/ReadMaterials.cpp @@ -41,7 +41,7 @@ void ReadMaterials() { assert(count == 1); int index = partID * MAXMATPARAMS; int nTerms = 0; - int nProny = 0; + int nPronyL = 0; switch (materialID[partID]) { case 0 :// Rigid body // properties[0] = density @@ -106,8 +106,8 @@ void ReadMaterials() { // properties[3] = k1 // properties[4] = k2 // properties[5] = n - // properties[6+i] = gi - // properties[7+i] = ti + // properties[6+2*i] = gi + // properties[7+2*i] = ti count = fscanf(File, "%lf %lf %lf %lf %lf %lf", &properties[index + 0], &properties[index + 1], &properties[index + 2], &properties[index + 3], &properties[index + 4], @@ -118,8 +118,8 @@ void ReadMaterials() { TerminateFemTech(3); } for (int j = 0; j < properties[index+5]; ++j) { - count = fscanf(File, "%lf %lf", &properties[index + 6 + j], - &properties[index + 7 + j]); + count = fscanf(File, "%lf %lf", &properties[index + 6 + 2*j], + &properties[index + 7 + 2*j]); assert(count == 2); } // FILE_LOG_SINGLE(WARNING, "Part %d HGO properties (rho, mu, K, k1, k2, n) = " @@ -169,9 +169,9 @@ void ReadMaterials() { * N_{Ogden} = properties(2), maximum value of 3 * \alpha_i = properties(3+2*i) i = 0 to N_{Ogden}-1 * \mu_i = properties(4+2*i) i = 0 to N_{Ogden}-1 - * N_{Prony} = properties(3+N_{prony}*2), maximum value of 6 - * g_i = properties(4+2*N_{prony}+2*j) j = 0 to N_{Prony}-1 - * \tau_i = properties(5+2*N_{prony}+2*j) j = 0 to N_{Prony}-1 + * N_{Prony} = properties(3+N_{Ogden}*2), maximum value of 6 + * g_j = properties(4+2*N_{Ogden}+2*j) j = 0 to N_{Prony}-1 + * \tau_j = properties(5+2*N_{Ogden}+2*j) j = 0 to N_{Prony}-1 * MAXMATPARAMS = 4+2*(N_{Ogden}+N_{Prony}) = 22 * */ count = fscanf(File, "%lf %lf %lf", &properties[index + 0], @@ -189,8 +189,8 @@ void ReadMaterials() { } count = fscanf(File, "%lf", &properties[index + 3 + 2*nTerms]); assert(count == 1); - nProny = static_cast(properties[index+3+2*nTerms]); - for (int j = 0; j < nProny; ++j) { + nPronyL = static_cast(properties[index+3+2*nTerms]); + for (int j = 0; j < nPronyL; ++j) { count = fscanf(File, "%lf %lf", &properties[index + 4 + 2*nTerms + 2*j], &properties[index + 5 + 2*nTerms + 2*j]); assert(count == 2); diff --git a/src/io/output/FreeArrays.cpp b/src/io/output/FreeArrays.cpp index 235b7db7..188adb70 100644 --- a/src/io/output/FreeArrays.cpp +++ b/src/io/output/FreeArrays.cpp @@ -65,11 +65,13 @@ void FreeArrays() { free1DArray(fintGQ); free1DArray(B); // Viscoelastic materials - for (unsigned int i = 0; i < nMax; ++i) { + for (unsigned int i = 0; i < nelements; ++i) { free1DArray(Hn[i]); + free1DArray(S0n[i]); } free1DArray(Hn); free1DArray(S0n); + free1DArray(nProny); if (ElementType != NULL) { for (int i = 0; i < nelements; i++){ diff --git a/src/materials/CMakeLists.txt b/src/materials/CMakeLists.txt index b58e6122..3a949d0b 100644 --- a/src/materials/CMakeLists.txt +++ b/src/materials/CMakeLists.txt @@ -6,6 +6,7 @@ Set(materials_src HGOIsotropic.cpp HGOIsotropicViscoelastic.cpp Ogden.cpp + OgdenViscoelastic.cpp Viscoelastic.cpp ) diff --git a/src/materials/HGOIsotropicViscoelastic.cpp b/src/materials/HGOIsotropicViscoelastic.cpp index afc51999..04061b42 100644 --- a/src/materials/HGOIsotropicViscoelastic.cpp +++ b/src/materials/HGOIsotropicViscoelastic.cpp @@ -17,8 +17,8 @@ * k_1 = properties(3) * k_2 = properties(4) * n = properties(5) - * g_i = properties(5+i) - * t_i = properties(6+i) + * g_i = properties(6+2*i) + * t_i = properties(7+2*i) * Implementation follows : Kaliske, M. and Rothert, H., 1997. Formulation and * implementation of three-dimensional viscoelasticity at small and finite * strains. Computational Mechanics, 19(3), pp.228-239. */ @@ -32,7 +32,6 @@ void HGOIsotropicViscoelastic(int e, int gp) { // Pointer to start of deformation gradient matrix for given element number // and Gauss point const int index = fptr[e] + ndim * ndim * gp; - const int indexViscous = fptrViscous[e] + ndim * ndim * gp; double J = detF[detFptr[e] + gp]; // Get material property ID to read material properties const int pideIndex = pid[e]*MAXMATPARAMS; @@ -45,20 +44,21 @@ void HGOIsotropicViscoelastic(int e, int gp) { const double k2 = localProperties[4]; // Kappa = 1/3 for isotropic fiber distribution const double kappa = 1.0/3.0; - const int n = int(localProperties[5]); // No of terms in prony series + const int nPronyLocal = int(localProperties[5]); // No of terms in prony series + // TODO(Anil) convert local allocations to one time global double *gi, *ti; - gi = (double*)malloc(n*sizeof(double)); - ti = (double*)malloc(n*sizeof(double)); - for (unsigned int i = 0; i < n; ++i) { - gi[i] = localProperties[6+i]; - ti[i] = localProperties[7+i]; + gi = (double*)malloc(nPronyLocal*sizeof(double)); + ti = (double*)malloc(nPronyLocal*sizeof(double)); + for (unsigned int i = 0; i < nPronyLocal; ++i) { + gi[i] = localProperties[6+2*i]; + ti[i] = localProperties[7+2*i]; } double * const F_element_gp = &(F[index]); // Compute the hydrostatic diagonal contribution to cauchy stress tensor const double hydroDiag = 0.5*K*(J*J-1.0)/J; // Compute the left elastic Cauchy-Green tensor B = F*F^T - double matSize = ndim * ndim; + const unsigned int matSize = ndim * ndim; double *Bmat = mat1; dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, F_element_gp, &ndim, &zero, Bmat, &ndim); @@ -121,9 +121,11 @@ void HGOIsotropicViscoelastic(int e, int gp) { Sdev[i] = S[i]-Sic[i]; } // Access histroy dependence - double *S0nLocal = &(S0n[indexViscous]); - for (unsigned int i = 0; i < n; ++i) { - double *HnLocal = &(Hn[i][indexViscous]); + double *S0nLocal = S0n[e]; + double *elemH = Hn[e]; + double *HnLocal = &(elemH[gp*matSize*nPronyLocal]); + for (unsigned int i = 0; i < nPronyLocal; ++i) { + double *HnI = &(HnLocal[i*matSize]); // Compute C1i = exp(-dt/t_i) and C2i = g_i (1-exp(-dt/t_i))/(dt/t_i) const double rt = dt/ti[i]; const double c1i = exp(-rt); @@ -131,8 +133,8 @@ void HGOIsotropicViscoelastic(int e, int gp) { // Update H_j^{n+1} = c1j*H_j^n + c2j*[Dev S_0^{n+1} - S_0^n] // Update S^{n+1} = S_0^{n+1} + \sum_j H_j^{n+1} for (int j = 0; j < matSize; ++j) { - HnLocal[j] = c1i*HnLocal[j]+c2i*(Sdev[j]-S0nLocal[j]); - S[j] = S[j] + HnLocal[j]; + HnI[j] = c1i*HnI[j]+c2i*(Sdev[j]-S0nLocal[j]); + S[j] = S[j] + HnI[j]; } } diff --git a/src/materials/Ogden.cpp b/src/materials/Ogden.cpp index a878f0bc..26813016 100644 --- a/src/materials/Ogden.cpp +++ b/src/materials/Ogden.cpp @@ -8,9 +8,9 @@ * Expected material properties : * \rho = properties(0) * K = properties(1) - * N_{ogden} = properties(2) - * \alpha_i = properties(3+2*i) i = 0 to N_{ogden} - * \mu_i = properties(4+2*i) i = 0 to N_{ogden} + * N_{Ogden} = properties(2), maximum value of 3 + * \alpha_i = properties(3+2*i) i = 0 to N_{Ogden}-1 + * \mu_i = properties(4+2*i) i = 0 to N_{Ogden}-1 * */ void Ogden(int e, int gp) { @@ -41,7 +41,7 @@ void Ogden(int e, int gp) { // Compute B = FF^T and compute its eigen values dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, F_element_gp, &ndim, &zero, Bmat, &ndim); - double matSize = ndim * ndim; + const unsigned int matSize = ndim * ndim; // Compute eigen values and eigenvectors of B int nEigen; double cEigenValue[ndim]; @@ -66,9 +66,9 @@ void Ogden(int e, int gp) { dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, cEigenVector, &ndim, &zero, basisVec, &ndim); - double *Smat = mat4; + double *S = mat4; for (int i = 0; i < matSize; ++i) { - Smat[i] = 0.0; + S[i] = 0.0; } const double hydro = K*(J-1.0); double eigenPower[ndim]; @@ -87,24 +87,24 @@ void Ogden(int e, int gp) { preFactor = mu*(eigenPower[i]-eigenSum); } preFactor += hydro; - dyadic(&basisVec[3*i], preFactor, Smat); + dyadic(&basisVec[3*i], preFactor, S); } // Get location of array to store PK2 values double * pk2Local = &(pk2[pk2ptr[e]+6*gp]); // 6 values saved per gauss point for 3d // in voigt notation, sigma11 - pk2Local[0] = Smat[0]; + pk2Local[0] = S[0]; // in voigt notation, sigma22 - pk2Local[1] = Smat[4]; + pk2Local[1] = S[4]; // in voigt notation, sigma33 - pk2Local[2] = Smat[8]; + pk2Local[2] = S[8]; // in voigt notation, sigma23 - pk2Local[3] = Smat[7]; + pk2Local[3] = S[7]; // in voigt notation, sigma13 - pk2Local[4] = Smat[6]; + pk2Local[4] = S[6]; // in voigt notation, sigma12 - pk2Local[5] = Smat[3]; + pk2Local[5] = S[3]; #ifdef DEBUG FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); diff --git a/src/materials/OgdenViscoelastic.cpp b/src/materials/OgdenViscoelastic.cpp index f8972d81..798ec11e 100644 --- a/src/materials/OgdenViscoelastic.cpp +++ b/src/materials/OgdenViscoelastic.cpp @@ -17,7 +17,7 @@ * MAXMATPARAMS = 4+2*(N_{Ogden}+N_{Prony}) = 22 * */ -void Ogden(int e, int gp) { +void OgdenViscoelastic(int e, int gp) { if (ndim == 2) { FILE_LOG_SINGLE(ERROR, "Plane Strain implementation yet to be done"); TerminateFemTech(3); @@ -34,6 +34,15 @@ void Ogden(int e, int gp) { // Read material properties const double K = localProperties[1]; const int nTerm = static_cast(localProperties[2]); + const int nPronyLocal = int(localProperties[3+nTerm*2]); // No of terms in prony series + // TODO(Anil) convert local allocations to one time global + double *gi, *ti; + gi = (double*)malloc(nPronyLocal*sizeof(double)); + ti = (double*)malloc(nPronyLocal*sizeof(double)); + for (unsigned int i = 0; i < nPronyLocal; ++i) { + gi[i] = localProperties[4+2*(i+nTerm)]; + ti[i] = localProperties[5+2*(i+nTerm)]; + } double * const F_element_gp = &(F[index]); // Use temp storage mat1 for Finverse @@ -45,7 +54,7 @@ void Ogden(int e, int gp) { // Compute B = FF^T and compute its eigen values dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, F_element_gp, &ndim, &zero, Bmat, &ndim); - double matSize = ndim * ndim; + const unsigned int matSize = ndim * ndim; // Compute eigen values and eigenvectors of B int nEigen; double cEigenValue[ndim]; @@ -112,22 +121,21 @@ void Ogden(int e, int gp) { Sdev[i] = S[i]-Sic[i]; } // Access histroy dependence - double *Hn_1Local = &(Hn_1[index]); - double *Hn_2Local = &(Hn_2[index]); - double *S0nLocal = &(S0n[index]); - // Compute c1i = exp(-dt/t_i) and C2i = g_i (1-exp(-dt/t_i))/(dt/t_i) - const double rt1 = dt/t1; - const double rt2 = dt/t2; - const double c11 = exp(-rt1); - const double c12 = exp(-rt2); - const double c21 = g1*(1-c11)/rt1; - const double c22 = g2*(1-c12)/rt2; - // Update H_j^{n+1} = c1j*H_j^n + c2j*[Dev S_0^{n+1} - S_0^n] - // Update S^{n+1} = S_0^{n+1} + \sum_j H_j^{n+1} - for (int i = 0; i < matSize; ++i) { - Hn_1Local[i] = c11*Hn_1Local[i]+c21*(Sdev[i]-S0nLocal[i]); - Hn_2Local[i] = c12*Hn_2Local[i]+c22*(Sdev[i]-S0nLocal[i]); - S[i] = S[i] + Hn_1Local[i] + Hn_2Local[i]; + double *S0nLocal = S0n[e]; + double *elemH = Hn[e]; + double *HnLocal = &(elemH[gp*matSize*nPronyLocal]); + for (unsigned int i = 0; i < nPronyLocal; ++i) { + double *HnI = &(HnLocal[i*matSize]); + // Compute C1i = exp(-dt/t_i) and C2i = g_i (1-exp(-dt/t_i))/(dt/t_i) + const double rt = dt/ti[i]; + const double c1i = exp(-rt); + const double c2i = gi[i]*(1-c1i)/rt; + // Update H_j^{n+1} = c1j*H_j^n + c2j*[Dev S_0^{n+1} - S_0^n] + // Update S^{n+1} = S_0^{n+1} + \sum_j H_j^{n+1} + for (int j = 0; j < matSize; ++j) { + HnI[j] = c1i*HnI[j]+c2i*(Sdev[j]-S0nLocal[j]); + S[j] = S[j] + HnI[j]; + } } // Get location of array to store PK2 values @@ -146,6 +154,13 @@ void Ogden(int e, int gp) { // in voigt notation, sigma12 pk2Local[5] = S[3]; + // Update deviatoric part of S_0 for next time step + for (int i = 0; i < matSize; ++i) { + S0nLocal[i] = Sdev[i]; + } + free(gi); + free(ti); + #ifdef DEBUG FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); for(int i=0;i<6;i++){ From 4985b503aa008ca6c5423ba6b6b9bb518f698c9e Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 27 Nov 2020 12:49:31 +0530 Subject: [PATCH 023/106] Working viscoelastic code --- examples/ex9/gnuplot.script | 4 +- examples/ex9/ls-dyna/1-elt-ogden-3.txt | 52 +++++++++++++++++++++++ include/lapack.h | 9 ++-- src/fem/ShapeFunctions/ShapeFunctions.cpp | 30 ++++++++++--- src/io/output/FreeArrays.cpp | 12 +++--- src/materials/Ogden.cpp | 14 ++---- src/materials/OgdenViscoelastic.cpp | 18 ++++---- 7 files changed, 101 insertions(+), 38 deletions(-) create mode 100644 examples/ex9/ls-dyna/1-elt-ogden-3.txt diff --git a/examples/ex9/gnuplot.script b/examples/ex9/gnuplot.script index 9b379678..ae2485e8 100644 --- a/examples/ex9/gnuplot.script +++ b/examples/ex9/gnuplot.script @@ -48,7 +48,7 @@ set key left top set key font ",18" set term pngcairo dashed notransparent size 1200,960 dashlength .4 set output "plot.png" -plot "1-elt-ogden-2.txt" using 1:2 ls 3 title "LS-DYNA DispX", \ - "1-elt-ogden-2.txt" using 1:3 ls 4 title "LS-DYNA DispY", \ +plot "ls-dyna/1-elt-ogden-3.txt" using 1:2 ls 3 title "LS-DYNA DispX", \ + "ls-dyna/1-elt-ogden-3.txt" using 1:3 ls 4 title "LS-DYNA DispY", \ "plot.dat" using 1:2 ls 1 title "FEMTECH DispX", \ "plot.dat" using 1:3 ls 2 title "FEMTECH DispY" diff --git a/examples/ex9/ls-dyna/1-elt-ogden-3.txt b/examples/ex9/ls-dyna/1-elt-ogden-3.txt new file mode 100644 index 00000000..063d87ff --- /dev/null +++ b/examples/ex9/ls-dyna/1-elt-ogden-3.txt @@ -0,0 +1,52 @@ + 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 + 1.9907578826e-02 -6.7961402237e-05 1.3935286552e-04 -6.7961402237e-05 + 3.9904437959e-02 -1.3357307762e-04 2.7933111414e-04 -1.3357354328e-04 + 5.9917729348e-02 -1.9670138136e-04 4.1942391545e-04 -1.9670184702e-04 + 7.9965755343e-02 -2.5754747912e-04 5.5976025760e-04 -2.5754747912e-04 + 9.9929139018e-02 -3.1589856371e-04 6.9950381294e-04 -3.1589856371e-04 + 1.1995197088e-01 -3.7231249735e-04 8.3966366947e-04 -3.7231203169e-04 + 1.3990505040e-01 -4.2654294521e-04 9.7933551297e-04 -4.2654247954e-04 + 1.5992204845e-01 -4.7906395048e-04 1.1194543913e-03 -4.7906395048e-04 + 1.7999614775e-01 -5.2993977442e-04 1.2599732727e-03 -5.2993977442e-04 + 1.9994066656e-01 -5.7880021632e-04 1.3995845802e-03 -5.7880021632e-04 + 2.1999152005e-01 -6.2631117180e-04 1.5399409458e-03 -6.2631117180e-04 + 2.3991000652e-01 -6.7198975012e-04 1.6793701798e-03 -6.7198928446e-04 + 2.5999173522e-01 -7.1658426896e-04 1.8199421465e-03 -7.1658380330e-04 + 2.7996662259e-01 -7.5955316424e-04 1.9597662613e-03 -7.5955362990e-04 + 2.9992693663e-01 -8.0117071047e-04 2.0994888619e-03 -8.0117117614e-04 + 3.1996926665e-01 -8.4168510512e-04 2.2397851571e-03 -8.4168603644e-04 + 3.3991989493e-01 -8.8079785928e-04 2.3794393055e-03 -8.8079879060e-04 + 3.5996893048e-01 -9.1892806813e-04 2.5197826326e-03 -9.1892806813e-04 + 3.7992542982e-01 -9.5575489104e-04 2.6594782248e-03 -9.5575675368e-04 + 3.9991357923e-01 -9.9154794589e-04 2.7993954718e-03 -9.9154887721e-04 + 4.1991800070e-01 -1.0263109580e-03 2.9394263402e-03 -1.0263137519e-03 + 4.3994048238e-01 -1.0600779206e-03 3.0795829371e-03 -1.0600793175e-03 + 4.5997726917e-01 -1.0928646661e-03 3.2198410481e-03 -1.0928669944e-03 + 4.7994816303e-01 -1.1245640926e-03 3.3596372232e-03 -1.1245666537e-03 + 4.9994388223e-01 -1.1553463992e-03 3.4996075556e-03 -1.1553482618e-03 + 5.1996612549e-01 -1.1852274183e-03 3.6397632211e-03 -1.1852311436e-03 + 5.3992599249e-01 -1.2140853796e-03 3.7794820964e-03 -1.2140888721e-03 + 5.5991750956e-01 -1.2420695275e-03 3.9194226265e-03 -1.2420734856e-03 + 5.7994258404e-01 -1.2691852171e-03 4.0595987812e-03 -1.2691877782e-03 + 5.9991437197e-01 -1.2953246478e-03 4.1994005442e-03 -1.2953265104e-03 + 6.1992514133e-01 -1.3206070289e-03 4.3394761160e-03 -1.3206067961e-03 + 6.3997709751e-01 -1.3450293336e-03 4.4798394665e-03 -1.3450258411e-03 + 6.5998554230e-01 -1.3684828300e-03 4.6198992059e-03 -1.3684774749e-03 + 6.7995464802e-01 -1.3909747358e-03 4.7596832737e-03 -1.3909700792e-03 + 6.9997465611e-01 -1.4125998132e-03 4.8998231068e-03 -1.4125958551e-03 + 7.1996277571e-01 -1.4332551509e-03 5.0397394225e-03 -1.4332518913e-03 + 7.3992347717e-01 -1.4529442415e-03 5.1794638857e-03 -1.4529419132e-03 + 7.5994580984e-01 -1.4717469458e-03 5.3196204826e-03 -1.4717432205e-03 + 7.7994889021e-01 -1.4895661734e-03 5.4596429691e-03 -1.4895659406e-03 + 7.9993742704e-01 -1.5064056497e-03 5.5995620787e-03 -1.5064065810e-03 + 8.1999963522e-01 -1.5223312657e-03 5.7399971411e-03 -1.5223289374e-03 + 8.3997321129e-01 -1.5372016933e-03 5.8798128739e-03 -1.5372023918e-03 + 8.5994690657e-01 -1.5510888770e-03 6.0196286067e-03 -1.5510891099e-03 + 8.7992572784e-01 -1.5639904886e-03 6.1594797298e-03 -1.5639958438e-03 + 8.9999681711e-01 -1.5759586822e-03 6.2999781221e-03 -1.5759642702e-03 + 9.1991907358e-01 -1.5868574847e-03 6.4394334331e-03 -1.5868644696e-03 + 9.3994396925e-01 -1.5968340449e-03 6.5796086565e-03 -1.5968387015e-03 + 9.5999461412e-01 -1.6058438923e-03 6.7199626938e-03 -1.6058539040e-03 + 9.7999495268e-01 -1.6138718929e-03 6.8599646911e-03 -1.6138842329e-03 + 9.9995076656e-01 -1.6209462192e-03 6.9996556267e-03 -1.6209518071e-03 + 1.0000318289e+00 -1.6209727619e-03 7.0002228022e-03 -1.6209788155e-03 diff --git a/include/lapack.h b/include/lapack.h index 4a19152a..9a93d99a 100644 --- a/include/lapack.h +++ b/include/lapack.h @@ -3,15 +3,16 @@ // Variables for blas static const char* jobzV = (char*)"V"; -static const char* rangeA = (char*)"A"; static const char* uploU = (char*)"U"; -static const double dStart = 0; -static const int iStart = 0; -static const double eigenTol = 1e-12; +// static const double eigenTol = -1; static int info; +static const int workSize = 102; extern "C" { /* DSYEVR prototype */ + extern void dsyev_(const char* const jobz, const char* const uplo, + const int* const n, double* const a, const int* const lda, + double* const w, double* work, const int* const lwork, int* const info ); extern void dsyevr_(const char* const jobz, const char* const range, const char* const uplo, const int* const n, double* const a, const int* const lda, const double* const vl, const double* const vu, diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index dd14515d..de4dcc98 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -91,6 +91,9 @@ void ShapeFunctions() { if (viscoElastic) { Hn = (double**)malloc(nelements*sizeof(double*)); S0n = (double**)malloc(nelements*sizeof(double*)); + } else { + Hn = NULL; + S0n = NULL; } for (int i = 0; i < nelements; i++) { @@ -127,9 +130,14 @@ void ShapeFunctions() { F_counter += 72; if (viscousCount) { const int F_counterViscous = 72; - S0n[i] = (double*)malloc(F_counterViscous*sizeof(double)); + S0n[i] = (double*)calloc(F_counterViscous, sizeof(double)); // Allocate nProny number of Hn matrix - Hn[i] = (double*)malloc(F_counterViscous*viscousCount*sizeof(double)); + Hn[i] = (double*)calloc(F_counterViscous*viscousCount, sizeof(double)); + } else { + if (viscoElastic) { + Hn[i] = NULL; + S0n[i] = NULL; + } } //the next counter is for the PK2 stress array @@ -166,9 +174,14 @@ void ShapeFunctions() { F_counter += 9; if (viscousCount) { const int F_counterViscous = 9; - S0n[i] = (double*)malloc(F_counterViscous*sizeof(double)); + S0n[i] = (double*)calloc(F_counterViscous, sizeof(double)); // Allocate nProny number of Hn matrix - Hn[i] = (double*)malloc(F_counterViscous*viscousCount*sizeof(double)); + Hn[i] = (double*)calloc(F_counterViscous*viscousCount, sizeof(double)); + } else { + if (viscoElastic) { + Hn[i] = NULL; + S0n[i] = NULL; + } } pk2_counter += 6; // six positions for 3D, it is symmetric @@ -192,9 +205,14 @@ void ShapeFunctions() { F_counter += (ndim*ndim*gpCount); if (viscousCount) { const int F_counterViscous = ndim*ndim*gpCount; - S0n[i] = (double*)malloc(F_counterViscous*sizeof(double)); + S0n[i] = (double*)calloc(F_counterViscous, sizeof(double)); // Allocate nProny number of Hn matrix - Hn[i] = (double*)malloc(F_counterViscous*viscousCount*sizeof(double)); + Hn[i] = (double*)calloc(F_counterViscous*viscousCount, sizeof(double)); + } else { + if (viscoElastic) { + Hn[i] = NULL; + S0n[i] = NULL; + } } pk2_counter += 6; // six positions for 3D, it is symmetric detF_counter += gpCount; // detF stored only at gauss point diff --git a/src/io/output/FreeArrays.cpp b/src/io/output/FreeArrays.cpp index 188adb70..cd2a7de4 100644 --- a/src/io/output/FreeArrays.cpp +++ b/src/io/output/FreeArrays.cpp @@ -65,12 +65,14 @@ void FreeArrays() { free1DArray(fintGQ); free1DArray(B); // Viscoelastic materials - for (unsigned int i = 0; i < nelements; ++i) { - free1DArray(Hn[i]); - free1DArray(S0n[i]); + if (Hn) { + for (unsigned int i = 0; i < nelements; ++i) { + free1DArray(Hn[i]); + free1DArray(S0n[i]); + } + free1DArray(Hn); + free1DArray(S0n); } - free1DArray(Hn); - free1DArray(S0n); free1DArray(nProny); if (ElementType != NULL) { diff --git a/src/materials/Ogden.cpp b/src/materials/Ogden.cpp index 26813016..506dd4b8 100644 --- a/src/materials/Ogden.cpp +++ b/src/materials/Ogden.cpp @@ -43,17 +43,9 @@ void Ogden(int e, int gp) { F_element_gp, &ndim, &zero, Bmat, &ndim); const unsigned int matSize = ndim * ndim; // Compute eigen values and eigenvectors of B - int nEigen; double cEigenValue[ndim]; - double cEigenVector[ndim*ndim]; - int dWorkN = ndim*30; - int iWorkN = 15*ndim; - double dWork[dWorkN]; - int iWork[iWorkN]; - int iSuppZ[2*ndim]; - dsyevr_(jobzV, rangeA, uploU, &ndim, Bmat, &ndim, &dStart, &dStart, \ - &iStart, &iStart, &eigenTol, &nEigen, cEigenValue, cEigenVector, \ - &ndim, iSuppZ, dWork, &dWorkN, iWork, &iWorkN, &info); + double dWork[workSize]; + dsyev_(jobzV, uploU, &ndim, Bmat, &ndim, cEigenValue, dWork, &workSize, &info); // Compute sqrt of lambda and multiply by J^{-1/3} const double Jm13 = pow(J, -1.0/3.0); for (int i = 0; i < ndim; ++i) { @@ -64,7 +56,7 @@ void Ogden(int e, int gp) { // matrix double *basisVec = mat3; dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, - cEigenVector, &ndim, &zero, basisVec, &ndim); + Bmat, &ndim, &zero, basisVec, &ndim); double *S = mat4; for (int i = 0; i < matSize; ++i) { diff --git a/src/materials/OgdenViscoelastic.cpp b/src/materials/OgdenViscoelastic.cpp index 798ec11e..37f2b150 100644 --- a/src/materials/OgdenViscoelastic.cpp +++ b/src/materials/OgdenViscoelastic.cpp @@ -58,15 +58,8 @@ void OgdenViscoelastic(int e, int gp) { // Compute eigen values and eigenvectors of B int nEigen; double cEigenValue[ndim]; - double cEigenVector[ndim*ndim]; - int dWorkN = ndim*30; - int iWorkN = 15*ndim; - double dWork[dWorkN]; - int iWork[iWorkN]; - int iSuppZ[2*ndim]; - dsyevr_(jobzV, rangeA, uploU, &ndim, Bmat, &ndim, &dStart, &dStart, \ - &iStart, &iStart, &eigenTol, &nEigen, cEigenValue, cEigenVector, \ - &ndim, iSuppZ, dWork, &dWorkN, iWork, &iWorkN, &info); + double dWork[workSize]; + dsyev_(jobzV, uploU, &ndim, Bmat, &ndim, cEigenValue, dWork, &workSize, &info); // Compute sqrt of lambda and multiply by J^{-1/3} const double Jm13 = pow(J, -1.0/3.0); for (int i = 0; i < ndim; ++i) { @@ -77,7 +70,7 @@ void OgdenViscoelastic(int e, int gp) { // matrix double *basisVec = mat3; dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, - cEigenVector, &ndim, &zero, basisVec, &ndim); + Bmat, &ndim, &zero, basisVec, &ndim); double *S = mat4; for (int i = 0; i < matSize; ++i) { @@ -102,9 +95,11 @@ void OgdenViscoelastic(int e, int gp) { preFactor += hydro; dyadic(&basisVec[3*i], preFactor, S); } + // FILE_LOGMatrix(WARNING, S, ndim, ndim, "Before viscoelaticty\n"); double *Cmat = mat2; dgemm_(chy, chn, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, F_element_gp, &ndim, &zero, Cmat, &ndim); + // FILE_LOGMatrix(WARNING, Cmat, ndim, ndim, "C mat\n"); // compute the double dot product C:S double SddC = 0.0; for (int i = 0; i < matSize; ++i) { @@ -116,10 +111,12 @@ void OgdenViscoelastic(int e, int gp) { double* Sic = mat3; // Reuse mat3 for storing isochoric part of S dgemm_(chn, chy, &ndim, &ndim, &ndim, &SddC, fInv, &ndim, fInv, &ndim, &zero, Sic, &ndim); + // FILE_LOGMatrix(WARNING, Sic, ndim, ndim, "Sic mat\n"); double *Sdev = mat1; // Reuse mat1 to store deviatoric part of S for (int i = 0; i < matSize; ++i) { Sdev[i] = S[i]-Sic[i]; } + // FILE_LOGMatrix(WARNING, Sdev, ndim, ndim, "Sdev mat\n"); // Access histroy dependence double *S0nLocal = S0n[e]; double *elemH = Hn[e]; @@ -137,6 +134,7 @@ void OgdenViscoelastic(int e, int gp) { S[j] = S[j] + HnI[j]; } } + // FILE_LOGMatrix(WARNING, S, ndim, ndim, "S Visco mat\n"); // Get location of array to store PK2 values double * pk2Local = &(pk2[pk2ptr[e]+6*gp]); From 5a5156bfad4181467c90f70f4b9bcf67beadb5ca Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 27 Nov 2020 13:04:46 +0530 Subject: [PATCH 024/106] Bug corrected in Viscoelaticity --- examples/ex9/ex9.cpp | 2 +- src/materials/HGOIsotropicViscoelastic.cpp | 3 ++- src/materials/OgdenViscoelastic.cpp | 3 ++- 3 files changed, 5 insertions(+), 3 deletions(-) diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 82a73de5..e343e50e 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -71,7 +71,7 @@ int main(int argc, char **argv) { dt = 0.0; double tMax = 1.00; // max simulation time in seconds - double dMax = 0.005; // max displacment in meters + double dMax = 0.007; // max displacment in meters int time_step_counter = 0; /** Central Difference Method - Beta and Gamma */ diff --git a/src/materials/HGOIsotropicViscoelastic.cpp b/src/materials/HGOIsotropicViscoelastic.cpp index 04061b42..bd2edf0e 100644 --- a/src/materials/HGOIsotropicViscoelastic.cpp +++ b/src/materials/HGOIsotropicViscoelastic.cpp @@ -121,7 +121,8 @@ void HGOIsotropicViscoelastic(int e, int gp) { Sdev[i] = S[i]-Sic[i]; } // Access histroy dependence - double *S0nLocal = S0n[e]; + double *elemS = S0n[e]; + double *S0nLocal = &(elemS[gp*matSize]); double *elemH = Hn[e]; double *HnLocal = &(elemH[gp*matSize*nPronyLocal]); for (unsigned int i = 0; i < nPronyLocal; ++i) { diff --git a/src/materials/OgdenViscoelastic.cpp b/src/materials/OgdenViscoelastic.cpp index 37f2b150..2c6fecfd 100644 --- a/src/materials/OgdenViscoelastic.cpp +++ b/src/materials/OgdenViscoelastic.cpp @@ -118,7 +118,8 @@ void OgdenViscoelastic(int e, int gp) { } // FILE_LOGMatrix(WARNING, Sdev, ndim, ndim, "Sdev mat\n"); // Access histroy dependence - double *S0nLocal = S0n[e]; + double *elemS = S0n[e]; + double *S0nLocal = &(elemS[gp*matSize]); double *elemH = Hn[e]; double *HnLocal = &(elemH[gp*matSize*nPronyLocal]); for (unsigned int i = 0; i < nPronyLocal; ++i) { From 7d3adb052f26d08f0702281a5788535e143d9abf Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 22 Dec 2020 17:17:45 +0530 Subject: [PATCH 025/106] Updated cell centres txt file --- examples/ex5/fine_cellcentres.txt | 209822 ++++++++++++++------------- 1 file changed, 105526 insertions(+), 104296 deletions(-) diff --git a/examples/ex5/fine_cellcentres.txt b/examples/ex5/fine_cellcentres.txt index 246d1209..3f2cda15 100644 --- a/examples/ex5/fine_cellcentres.txt +++ b/examples/ex5/fine_cellcentres.txt @@ -1,104296 +1,105526 @@ -1 0.00107375 -0.418965 -0.0469902 frontal -2 0.00112125 -0.41537 -0.0643179 frontal -3 0.001105 -0.414733 -0.0663192 frontal -4 0.010063 -0.331082 0.0388734 frontal -5 0.0102328 -0.333302 0.0396889 frontal -6 0.00780912 -0.333582 0.0395591 frontal -7 0.0113115 -0.330341 -0.0373449 frontal -8 0.0110661 -0.332554 -0.03709 frontal -9 0.00913087 -0.329953 -0.0385248 frontal -10 0.00895125 -0.332496 -0.0382819 frontal -11 0.0129751 -0.330384 -0.0358044 frontal -12 0.0127369 -0.332626 -0.0354985 frontal -13 0.0102305 -0.329123 0.0377666 frontal -14 0.00760688 -0.329071 0.0376675 frontal -15 0.0103399 -0.327455 0.0362291 frontal -16 0.00779413 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-0.325344 -0.0384697 temporal +105516 -0.0403307 -0.325425 -0.0363921 temporal +105517 -0.0402203 -0.325622 -0.0343763 temporal +105518 -0.0423656 -0.334146 -0.0454067 temporal +105519 -0.0426823 -0.333887 -0.0432989 temporal +105520 -0.0420364 -0.331477 -0.0429024 temporal +105521 -0.0414377 -0.329339 -0.0426249 temporal +105522 -0.0417427 -0.329138 -0.0406882 temporal +105523 -0.0414329 -0.327027 -0.0405059 temporal +105524 -0.0416877 -0.326839 -0.0385615 temporal +105525 -0.041906 -0.326707 -0.0364816 temporal +105526 -0.0355036 -0.325114 -0.0453285 temporal From 8a01d2b8540817beb68e182cc57377759ba60725 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 22 Dec 2020 18:22:47 +0530 Subject: [PATCH 026/106] Updated materials.dat for test --- examples/ex9/materials.dat | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ex9/materials.dat b/examples/ex9/materials.dat index 4d14390d..f878fee1 100644 --- a/examples/ex9/materials.dat +++ b/examples/ex9/materials.dat @@ -1,4 +1,4 @@ -0 8 1040 2.1e9 2 10.1 53.8 -12.9 -120.4 6 0.768587 1e-6 0.1873432 1e-5 0.01489138 1e-4 0.019214683 1e-3 2.4018354e-4 1e-2 7.205506e-3 0.1 +0 1 1040 100.0 100.0 # 0 7 1040 9.996667e5 2 10.1 53.8 -12.9 -120.4 From dfcf12ad4c128c7ecb0f72e5375e6c3f556ca5fc Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 25 Dec 2020 09:19:05 +0530 Subject: [PATCH 027/106] Updated output updation for unequal input time array --- examples/ex5/updateOutputJson.py | 29 ++++++++++++++++++++++++++++- 1 file changed, 28 insertions(+), 1 deletion(-) diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index 9b6f81ff..d42b57d2 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -10,9 +10,36 @@ linearAcc = inputJson['simulation']['linear-acceleration'] angularAcc = inputJson['simulation']['angular-acceleration'] -if 'xt' in linearAcc: +# Check if time array is present, common for all accelerations +if 'time-all' in inputJson['simulation']: maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) +elif 'xt' in linearAcc: # If all sensor values have corresponding time arrays + # If they are equal compute maximum directly, else interpolate and compute + if (np.array_equal(np.array(linearAcc['xt']), np.array(linearAcc['yt'])) + and np.array_equal(np.array(linearAcc['xt']), np.array(linearAcc['zt']))): + maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 + else: + nCount = 5*max([len(linearAcc['xt']), len(linearAcc['yt']), len(linearAcc['zt'])]) + tmin = min(linearAcc['xt'][0], linearAcc['yt'][0], linearAcc['zt'][0]) + tmax = min(linearAcc['xt'][-1], linearAcc['yt'][-1], linearAcc['zt'][-1]) + tInter = np.linspace(tmin, tmax, nCount) + xV = np.interp(tInter, linearAcc['xt'], linearAcc['xv']) + yV = np.interp(tInter, linearAcc['yt'], linearAcc['yv']) + zV = np.interp(tInter, linearAcc['zt'], linearAcc['zv']) + maxG = np.max(np.sqrt(xV**2+yV**2+zV**2))/9.81 + if (np.array_equal(np.array(angularAcc['xt']), np.array(angularAcc['yt'])) + and np.array_equal(np.array(angularAcc['xt']), np.array(angularAcc['zt']))): + maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) + else: + nCount = 5*max([len(angularAcc['xt']), len(angularAcc['yt']), len(angularAcc['zt'])]) + tmin = min(angularAcc['xt'][0], angularAcc['yt'][0], angularAcc['zt'][0]) + tmax = min(angularAcc['xt'][-1], angularAcc['yt'][-1], angularAcc['zt'][-1]) + tInter = np.linspace(tmin, tmax, nCount) + xV = np.interp(tInter, angularAcc['xt'], angularAcc['xv']) + yV = np.interp(tInter, angularAcc['yt'], angularAcc['yv']) + zV = np.interp(tInter, angularAcc['zt'], angularAcc['zv']) + maxT = np.max(np.sqrt(xV**2+yV**2+zV**2)) else: maxG = np.sqrt(np.array(linearAcc[0])**2+np.array(linearAcc[1])**2+np.array(linearAcc[2])**2) if isinstance(angularAcc, list): From 36cfe9d4747bf13d42156013179e8506002a3d2e Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 29 Dec 2020 19:33:11 +0530 Subject: [PATCH 028/106] Added validation code in ex5 modified output.json --- examples/ex5/ex5.cpp | 523 +++++++++++++++++-------------- examples/ex5/input_test_x.json | 72 +---- examples/ex5/updateOutputJson.py | 109 +++++-- 3 files changed, 385 insertions(+), 319 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 2759ed65..83107551 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -20,12 +20,12 @@ using namespace boost::numeric::odeint; void CustomPlot(); void InitCustomPlot(const Json::Value &jsonInput); double InitBoundaryCondition(const Json::Value &jsonInput); -void InitInjuryCriterion(void); +void InitInjuryCriteria(void); void updateBoundaryNeighbour(void); void ApplyAccBoundaryConditions(); int getImpactID(std::string location); void WriteOutputFile(); -void CalculateInjuryCriterions(void); +void CalculateInjuryCriteria(void); void TransformMesh(const Json::Value &jsonInput); /* Global Variables/Parameters */ @@ -47,6 +47,7 @@ int *boundaryID = NULL; int boundarySize; double peakTime, tMax; bool writeField = true; +bool computeInjuryFlag = true; /* Global variables for output */ int *outputNodeList; int outputNodeCount = 0; @@ -142,11 +143,14 @@ int main(int argc, char **argv) { Json::Value simulationJson = inputJson["simulation"]; std::string meshFile = simulationJson["mesh"].asString(); - tMax = - simulationJson["maximum-time"].asDouble() / 1000.0; // Convert to seconds + // Convert maximum time to seconds + tMax = simulationJson["maximum-time"].asDouble() / 1000.0; if (!simulationJson["write-vtu"].empty()) { writeField = simulationJson["write-vtu"].asBool(); } + if (!simulationJson["compute-injury-criteria"].empty()) { + computeInjuryFlag = simulationJson["compute-injury-criteria"].asBool(); + } FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); // Read Input Mesh file and equally partition elements among processes ReadInputFile(meshFile.c_str()); @@ -161,7 +165,9 @@ int main(int argc, char **argv) { AllocateArrays(); TransformMesh(simulationJson); InitCustomPlot(simulationJson); - InitInjuryCriterion(); + if (computeInjuryFlag) { + InitInjuryCriteria(); + } // Initial settings for BC evaluations // Used if initial velocity and acceleration BC is to be set. @@ -170,9 +176,13 @@ int main(int argc, char **argv) { /* Write inital, undeformed configuration*/ int plot_counter = 0; if (writeField) { - WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, - outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, - outputDoubleCount, outputDoubleNames); + if (computeInjuryFlag) { + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputDoubleCount, outputDoubleNames); + } else { + WriteVTU(outputFileName.c_str(), plot_counter); + } WritePVD(outputFileName.c_str(), plot_counter); } stepTime[plot_counter] = Time; @@ -270,7 +280,9 @@ int main(int argc, char **argv) { int writeFileFlag = time_step_counter % nsteps_write; CheckEnergy(Time, writeFlag); - CalculateInjuryCriterions(); + if (computeInjuryFlag) { + CalculateInjuryCriteria(); + } if (writeFileFlag == 0) { CustomPlot(); } @@ -283,9 +295,13 @@ int main(int argc, char **argv) { stepTime[plot_counter] = Time; if (writeField) { FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); - WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, - outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, - outputDoubleCount, outputDoubleNames); + if (computeInjuryFlag) { + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputDoubleCount, outputDoubleNames); + } else { + WriteVTU(outputFileName.c_str(), plot_counter); + } WritePVD(outputFileName.c_str(), plot_counter); } } @@ -325,7 +341,7 @@ int main(int argc, char **argv) { free1DArray(outputNodeList); free1DArray(outputElemList); free1DArray(outputNodeRigidDisp); - // Free variables used for injury criterions + // Free variables used for injury criteria free1DArray(PS_Old); free1DArray(elementIDInjury); free1DArray(PSxSRArray); @@ -590,7 +606,7 @@ void CustomPlot() { double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; for (int i = 0; i < outputElemCount; ++i) { unsigned int plotElem = outputElemList[i]; - // Recalculation to decouple from Injury criterion + // Recalculation to decouple from Injury criteria if (materialID[pid[plotElem]] != 0) { CalculateMaximumPrincipalStrain(plotElem, ¤tStrainMaxElem, ¤tStrainMinElem, @@ -618,50 +634,97 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { // Read input JSON for acceleration values if (jsonInput["linear-acceleration"] .isObject()) { // Use time traces from file - // Read linear acceleration and angular acceleration time traces - linAccXSize = jsonInput["linear-acceleration"]["xt"].size(); - int tempSize = jsonInput["linear-acceleration"]["xv"].size(); - assert(tempSize == linAccXSize); - linAccXt = (double *)malloc(sizeof(double) * linAccXSize); - linAccXv = (double *)malloc(sizeof(double) * linAccXSize); - linAccYSize = jsonInput["linear-acceleration"]["yt"].size(); - tempSize = jsonInput["linear-acceleration"]["yv"].size(); - assert(tempSize == linAccYSize); - linAccYt = (double *)malloc(sizeof(double) * linAccYSize); - linAccYv = (double *)malloc(sizeof(double) * linAccYSize); - linAccZSize = jsonInput["linear-acceleration"]["zt"].size(); - tempSize = jsonInput["linear-acceleration"]["zv"].size(); - assert(tempSize == linAccYSize); - linAccZt = (double *)malloc(sizeof(double) * linAccZSize); - linAccZv = (double *)malloc(sizeof(double) * linAccZSize); - jsonToArray(linAccXt, jsonInput["linear-acceleration"]["xt"]); - jsonToArray(linAccXv, jsonInput["linear-acceleration"]["xv"]); - jsonToArray(linAccYt, jsonInput["linear-acceleration"]["yt"]); - jsonToArray(linAccYv, jsonInput["linear-acceleration"]["yv"]); - jsonToArray(linAccZt, jsonInput["linear-acceleration"]["zt"]); - jsonToArray(linAccZv, jsonInput["linear-acceleration"]["zv"]); - - angAccXSize = jsonInput["angular-acceleration"]["xt"].size(); - tempSize = jsonInput["angular-acceleration"]["xv"].size(); - assert(tempSize == angAccXSize); - angAccXt = (double *)malloc(sizeof(double) * angAccXSize); - angAccXv = (double *)malloc(sizeof(double) * angAccXSize); - angAccYSize = jsonInput["angular-acceleration"]["yt"].size(); - tempSize = jsonInput["angular-acceleration"]["yv"].size(); - assert(tempSize == angAccYSize); - angAccYt = (double *)malloc(sizeof(double) * angAccYSize); - angAccYv = (double *)malloc(sizeof(double) * angAccYSize); - angAccZSize = jsonInput["angular-acceleration"]["zt"].size(); - tempSize = jsonInput["angular-acceleration"]["zv"].size(); - assert(tempSize == angAccZSize); - angAccZt = (double *)malloc(sizeof(double) * angAccZSize); - angAccZv = (double *)malloc(sizeof(double) * angAccZSize); - jsonToArray(angAccXt, jsonInput["angular-acceleration"]["xt"]); - jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); - jsonToArray(angAccYt, jsonInput["angular-acceleration"]["yt"]); - jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); - jsonToArray(angAccZt, jsonInput["angular-acceleration"]["zt"]); - jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); + // If time array is common + if (!jsonInput["time-all"].empty()) { + unsigned int timeSize = 0; + timeSize = jsonInput["time-all"].size(); + linAccXSize = jsonInput["linear-acceleration"]["xv"].size(); + assert(linAccXSize == timeSize); + linAccYSize = jsonInput["linear-acceleration"]["yv"].size(); + assert(linAccYSize == timeSize); + linAccZSize = jsonInput["linear-acceleration"]["zv"].size(); + assert(linAccZSize == timeSize); + + linAccXt = (double *)malloc(sizeof(double) * linAccXSize); + linAccXv = (double *)malloc(sizeof(double) * linAccXSize); + linAccYt = (double *)malloc(sizeof(double) * linAccYSize); + linAccYv = (double *)malloc(sizeof(double) * linAccYSize); + linAccZt = (double *)malloc(sizeof(double) * linAccZSize); + linAccZv = (double *)malloc(sizeof(double) * linAccZSize); + + jsonToArray(linAccXt, jsonInput["time-all"]); + jsonToArray(linAccXv, jsonInput["linear-acceleration"]["xv"]); + jsonToArray(linAccYv, jsonInput["linear-acceleration"]["yv"]); + jsonToArray(linAccZv, jsonInput["linear-acceleration"]["zv"]); + memcpy(linAccYt, linAccXt, timeSize*sizeof(double)); + memcpy(linAccZt, linAccXt, timeSize*sizeof(double)); + + angAccXSize = jsonInput["angular-acceleration"]["xv"].size(); + assert(timeSize == angAccXSize); + angAccYSize = jsonInput["angular-acceleration"]["yv"].size(); + assert(timeSize == angAccYSize); + angAccZSize = jsonInput["angular-acceleration"]["zv"].size(); + assert(timeSize == angAccZSize); + + angAccXt = (double *)malloc(sizeof(double) * angAccXSize); + angAccXv = (double *)malloc(sizeof(double) * angAccXSize); + angAccYt = (double *)malloc(sizeof(double) * angAccYSize); + angAccYv = (double *)malloc(sizeof(double) * angAccYSize); + angAccZt = (double *)malloc(sizeof(double) * angAccZSize); + angAccZv = (double *)malloc(sizeof(double) * angAccZSize); + + jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); + jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); + jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); + memcpy(angAccXt, linAccXt, timeSize*sizeof(double)); + memcpy(angAccYt, linAccXt, timeSize*sizeof(double)); + memcpy(angAccZt, linAccXt, timeSize*sizeof(double)); + } else { + // Read linear acceleration and angular acceleration time traces + linAccXSize = jsonInput["linear-acceleration"]["xt"].size(); + int tempSize = jsonInput["linear-acceleration"]["xv"].size(); + assert(tempSize == linAccXSize); + linAccXt = (double *)malloc(sizeof(double) * linAccXSize); + linAccXv = (double *)malloc(sizeof(double) * linAccXSize); + linAccYSize = jsonInput["linear-acceleration"]["yt"].size(); + tempSize = jsonInput["linear-acceleration"]["yv"].size(); + assert(tempSize == linAccYSize); + linAccYt = (double *)malloc(sizeof(double) * linAccYSize); + linAccYv = (double *)malloc(sizeof(double) * linAccYSize); + linAccZSize = jsonInput["linear-acceleration"]["zt"].size(); + tempSize = jsonInput["linear-acceleration"]["zv"].size(); + assert(tempSize == linAccYSize); + linAccZt = (double *)malloc(sizeof(double) * linAccZSize); + linAccZv = (double *)malloc(sizeof(double) * linAccZSize); + jsonToArray(linAccXt, jsonInput["linear-acceleration"]["xt"]); + jsonToArray(linAccXv, jsonInput["linear-acceleration"]["xv"]); + jsonToArray(linAccYt, jsonInput["linear-acceleration"]["yt"]); + jsonToArray(linAccYv, jsonInput["linear-acceleration"]["yv"]); + jsonToArray(linAccZt, jsonInput["linear-acceleration"]["zt"]); + jsonToArray(linAccZv, jsonInput["linear-acceleration"]["zv"]); + + angAccXSize = jsonInput["angular-acceleration"]["xt"].size(); + tempSize = jsonInput["angular-acceleration"]["xv"].size(); + assert(tempSize == angAccXSize); + angAccXt = (double *)malloc(sizeof(double) * angAccXSize); + angAccXv = (double *)malloc(sizeof(double) * angAccXSize); + angAccYSize = jsonInput["angular-acceleration"]["yt"].size(); + tempSize = jsonInput["angular-acceleration"]["yv"].size(); + assert(tempSize == angAccYSize); + angAccYt = (double *)malloc(sizeof(double) * angAccYSize); + angAccYv = (double *)malloc(sizeof(double) * angAccYSize); + angAccZSize = jsonInput["angular-acceleration"]["zt"].size(); + tempSize = jsonInput["angular-acceleration"]["zv"].size(); + assert(tempSize == angAccZSize); + angAccZt = (double *)malloc(sizeof(double) * angAccZSize); + angAccZv = (double *)malloc(sizeof(double) * angAccZSize); + jsonToArray(angAccXt, jsonInput["angular-acceleration"]["xt"]); + jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); + jsonToArray(angAccYt, jsonInput["angular-acceleration"]["yt"]); + jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); + jsonToArray(angAccZt, jsonInput["angular-acceleration"]["zt"]); + jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); + } // Convert linear accelerations from g force to m/s^2 // Convert time from milli-seconds to seconds @@ -1108,200 +1171,202 @@ void WriteOutputFile() { } output["center-of-mass"] = vec; } - // Compute and write principal values - double maxLocationAndTime[4]; - int globalElementID; - struct { - double value; - int rank; - } parStructMax; - - /* Calculate principal min and max strain location and send to master */ - // Find the gloabl max principal strain - for (int i = 0; i < maxQuantities; ++i) { - parStructMax.value = maxValue[i]; - parStructMax.rank = world_rank; - MPI_Allreduce(MPI_IN_PLACE, &parStructMax, 1, MPI_DOUBLE_INT, - outputOperator[i], MPI_COMM_WORLD); - if (parStructMax.rank == world_rank) { - for (int j = 0; j < 4; ++j) { - maxLocationAndTime[j] = 0.0; - } - int elementID = maxElem[i]; - // Compute element coordinates - int nP = eptr[elementID + 1] - eptr[elementID]; - for (int j = eptr[elementID]; j < eptr[elementID + 1]; ++j) { - maxLocationAndTime[0] += coordinates[connectivity[j] * ndim]; - maxLocationAndTime[1] += coordinates[connectivity[j] * ndim + 1]; - maxLocationAndTime[2] += coordinates[connectivity[j] * ndim + 2]; - } - for (int j = 0; j < ndim; ++j) { - maxLocationAndTime[j] = maxLocationAndTime[j] / ((double)nP); - } - maxLocationAndTime[3] = maxTime[i]; - globalElementID = global_eid[elementID]; - if (world_rank != 0) { - MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7297 + i, - MPI_COMM_WORLD); - MPI_Send(&globalElementID, 1, MPI_INT, 0, 7297 + i, MPI_COMM_WORLD); - } - } - if (world_rank == 0) { - if (parStructMax.rank != 0) { - MPI_Recv(maxLocationAndTime, 4, MPI_DOUBLE, parStructMax.rank, 7297 + i, - MPI_COMM_WORLD, MPI_STATUS_IGNORE); - MPI_Recv(&globalElementID, 1, MPI_INT, parStructMax.rank, 7297 + i, - MPI_COMM_WORLD, MPI_STATUS_IGNORE); + if (computeInjuryFlag) { + // Compute and write principal values + double maxLocationAndTime[4]; + int globalElementID; + struct { + double value; + int rank; + } parStructMax; + + /* Calculate principal min and max strain location and send to master */ + // Find the gloabl max principal strain + for (int i = 0; i < maxQuantities; ++i) { + parStructMax.value = maxValue[i]; + parStructMax.rank = world_rank; + MPI_Allreduce(MPI_IN_PLACE, &parStructMax, 1, MPI_DOUBLE_INT, + outputOperator[i], MPI_COMM_WORLD); + if (parStructMax.rank == world_rank) { + for (int j = 0; j < 4; ++j) { + maxLocationAndTime[j] = 0.0; + } + int elementID = maxElem[i]; + // Compute element coordinates + int nP = eptr[elementID + 1] - eptr[elementID]; + for (int j = eptr[elementID]; j < eptr[elementID + 1]; ++j) { + maxLocationAndTime[0] += coordinates[connectivity[j] * ndim]; + maxLocationAndTime[1] += coordinates[connectivity[j] * ndim + 1]; + maxLocationAndTime[2] += coordinates[connectivity[j] * ndim + 2]; + } + for (int j = 0; j < ndim; ++j) { + maxLocationAndTime[j] = maxLocationAndTime[j] / ((double)nP); + } + maxLocationAndTime[3] = maxTime[i]; + globalElementID = global_eid[elementID]; + if (world_rank != 0) { + MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7297 + i, + MPI_COMM_WORLD); + MPI_Send(&globalElementID, 1, MPI_INT, 0, 7297 + i, MPI_COMM_WORLD); + } } - for (int j = 0; j < ndim; ++j) { - vec[j] = maxLocationAndTime[j]; + if (world_rank == 0) { + if (parStructMax.rank != 0) { + MPI_Recv(maxLocationAndTime, 4, MPI_DOUBLE, parStructMax.rank, 7297 + i, + MPI_COMM_WORLD, MPI_STATUS_IGNORE); + MPI_Recv(&globalElementID, 1, MPI_INT, parStructMax.rank, 7297 + i, + MPI_COMM_WORLD, MPI_STATUS_IGNORE); + } + for (int j = 0; j < ndim; ++j) { + vec[j] = maxLocationAndTime[j]; + } + output[maxOutput[i]]["value"] = parStructMax.value; + output[maxOutput[i]]["location"] = vec; + output[maxOutput[i]]["time"] = maxLocationAndTime[3]; + output[maxOutput[i]]["global-element-id"] = globalElementID; } - output[maxOutput[i]]["value"] = parStructMax.value; - output[maxOutput[i]]["location"] = vec; - output[maxOutput[i]]["time"] = maxLocationAndTime[3]; - output[maxOutput[i]]["global-element-id"] = globalElementID; } - } - // Compute the volume of all parts - double volumePart[nPIDglobal]; - double elementVolume[nelements]; // For MPS computation - for (int i = 0; i < nPIDglobal; ++i) { - volumePart[i] = 0.0; - } - computePartVolume(volumePart, elementVolume); - // Compute Volume of threshold quantities - double thresholdVolume[threshQuantities]; - for (int i = 0; i < threshQuantities; ++i) { - thresholdVolume[i] = 0.0; - } - for (int i = 0; i < nElementsInjury; ++i) { - int e = elementIDInjury[i]; - double eV = elementVolume[e]; - // CSDM 5, 10, 15, 30 volume computations - if (thresholdElements[0][i]) { - thresholdVolume[0] += eV; - if (thresholdElements[1][i]) { - thresholdVolume[1] += eV; - if (thresholdElements[2][i]) { - thresholdVolume[2] += eV; - if (thresholdElements[3][i]) { - thresholdVolume[3] += eV; + // Compute the volume of all parts + double volumePart[nPIDglobal]; + double elementVolume[nelements]; // For MPS computation + for (int i = 0; i < nPIDglobal; ++i) { + volumePart[i] = 0.0; + } + computePartVolume(volumePart, elementVolume); + // Compute Volume of threshold quantities + double thresholdVolume[threshQuantities]; + for (int i = 0; i < threshQuantities; ++i) { + thresholdVolume[i] = 0.0; + } + for (int i = 0; i < nElementsInjury; ++i) { + int e = elementIDInjury[i]; + double eV = elementVolume[e]; + // CSDM 5, 10, 15, 30 volume computations + if (thresholdElements[0][i]) { + thresholdVolume[0] += eV; + if (thresholdElements[1][i]) { + thresholdVolume[1] += eV; + if (thresholdElements[2][i]) { + thresholdVolume[2] += eV; + if (thresholdElements[3][i]) { + thresholdVolume[3] += eV; + } } } } - } - // MPSR > 120 volume - if (thresholdElements[4][i]) { - thresholdVolume[4] += eV; - } - // MPSxSR > 28 volume - if (thresholdElements[5][i]) { - thresholdVolume[5] += eV; - } - } - // Calculate cumulative volume on all ranks - MPI_Allreduce(MPI_IN_PLACE, thresholdVolume, 6, MPI_DOUBLE, MPI_SUM, - MPI_COMM_WORLD); - if (world_rank == 0) { - // Excluded PID hardcoded for CSDM computation - double totalVolume = 0.0; - for (int i = 0; i < nPIDglobal; ++i) { - bool include = true; - for (int j = 0; j < injuryExcludePIDCount; ++j) { - if (injuryExcludePID[j] == i) { - include = false; - break; - } + // MPSR > 120 volume + if (thresholdElements[4][i]) { + thresholdVolume[4] += eV; } - if (include) { - totalVolume += volumePart[i]; + // MPSxSR > 28 volume + if (thresholdElements[5][i]) { + thresholdVolume[5] += eV; } } - // Write brain volume in output.json - output["brain-volume"] = totalVolume; + // Calculate cumulative volume on all ranks + MPI_Allreduce(MPI_IN_PLACE, thresholdVolume, 6, MPI_DOUBLE, MPI_SUM, + MPI_COMM_WORLD); + if (world_rank == 0) { + // Excluded PID hardcoded for CSDM computation + double totalVolume = 0.0; + for (int i = 0; i < nPIDglobal; ++i) { + bool include = true; + for (int j = 0; j < injuryExcludePIDCount; ++j) { + if (injuryExcludePID[j] == i) { + include = false; + break; + } + } + if (include) { + totalVolume += volumePart[i]; + } + } + // Write brain volume in output.json + output["brain-volume"] = totalVolume; - // Write threshold values - for (int i = 0; i < threshQuantities; ++i) { - output[thresholdTag[i]]["value"] = thresholdVolume[i] / totalVolume; + // Write threshold values + for (int i = 0; i < threshQuantities; ++i) { + output[thresholdTag[i]]["value"] = thresholdVolume[i] / totalVolume; + } + // Write percentile values + for (int i = 0; i < percentileQuantities; ++i) { + output[percentileTag[i]]["value"] = percentileValue[i]; + output[percentileTag[i]]["time"] = percentileTime[i]; + } } - // Write percentile values - for (int i = 0; i < percentileQuantities; ++i) { - output[percentileTag[i]]["value"] = percentileValue[i]; - output[percentileTag[i]]["time"] = percentileTime[i]; + // Create list to write to output.json + const int outputJsonCount = 5; + std::string jsonOutputTag[outputJsonCount]; + int *outputJsonArray[outputJsonCount]; + for (int i = 0; i < csdmCount; ++i) { + jsonOutputTag[i] = thresholdTag[i]; + outputJsonArray[i] = thresholdElements[i]; } - } - // Create list to write to output.json - const int outputJsonCount = 5; - std::string jsonOutputTag[outputJsonCount]; - int *outputJsonArray[outputJsonCount]; - for (int i = 0; i < csdmCount; ++i) { - jsonOutputTag[i] = thresholdTag[i]; - outputJsonArray[i] = thresholdElements[i]; - } - // Write MPS-95 elements - jsonOutputTag[csdmCount] = percentileTag[0]; - outputJsonArray[csdmCount] = percentileElements[0]; + // Write MPS-95 elements + jsonOutputTag[csdmCount] = percentileTag[0]; + outputJsonArray[csdmCount] = percentileElements[0]; - int *countPerProc, *cumCountPerProc, *fullElemList; - if (world_rank == 0) { - countPerProc = (int *)malloc(world_size * sizeof(int)); - cumCountPerProc = (int *)malloc(world_size * sizeof(int)); - } - for (int i = 0; i < outputJsonCount; ++i) { - int *list = outputJsonArray[i]; - int count = 0; - for (int j = 0; j < nElementsInjury; ++j) { - if (list[j]) { - count = count + 1; - } + int *countPerProc, *cumCountPerProc, *fullElemList; + if (world_rank == 0) { + countPerProc = (int *)malloc(world_size * sizeof(int)); + cumCountPerProc = (int *)malloc(world_size * sizeof(int)); } - int numElem = count; - int *localElemList = (int *)malloc(numElem * sizeof(int)); - count = 0; - if (numElem) { + for (int i = 0; i < outputJsonCount; ++i) { + int *list = outputJsonArray[i]; + int count = 0; for (int j = 0; j < nElementsInjury; ++j) { if (list[j]) { - int e = elementIDInjury[j]; - localElemList[count] = global_eid[e]; count = count + 1; } } - } - // Get total count - int totalElems = 0; - MPI_Allreduce(&numElem, &totalElems, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD); - // Get recv count - MPI_Gather(&numElem, 1, MPI_INT, countPerProc, 1, MPI_INT, 0, - MPI_COMM_WORLD); + int numElem = count; + int *localElemList = (int *)malloc(numElem * sizeof(int)); + count = 0; + if (numElem) { + for (int j = 0; j < nElementsInjury; ++j) { + if (list[j]) { + int e = elementIDInjury[j]; + localElemList[count] = global_eid[e]; + count = count + 1; + } + } + } + // Get total count + int totalElems = 0; + MPI_Allreduce(&numElem, &totalElems, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD); + // Get recv count + MPI_Gather(&numElem, 1, MPI_INT, countPerProc, 1, MPI_INT, 0, + MPI_COMM_WORLD); - if (world_rank == 0) { - fullElemList = (int *)malloc(totalElems * sizeof(int)); - cumCountPerProc[0] = 0; - for (int j = 1; j < world_size; ++j) { - cumCountPerProc[j] = countPerProc[j - 1] + cumCountPerProc[j - 1]; + if (world_rank == 0) { + fullElemList = (int *)malloc(totalElems * sizeof(int)); + cumCountPerProc[0] = 0; + for (int j = 1; j < world_size; ++j) { + cumCountPerProc[j] = countPerProc[j - 1] + cumCountPerProc[j - 1]; + } } - } - // Get full array - if (totalElems) { - MPI_Gatherv(localElemList, numElem, MPI_INT, fullElemList, countPerProc, - cumCountPerProc, MPI_INT, 0, MPI_COMM_WORLD); + // Get full array + if (totalElems) { + MPI_Gatherv(localElemList, numElem, MPI_INT, fullElemList, countPerProc, + cumCountPerProc, MPI_INT, 0, MPI_COMM_WORLD); + } + if (world_rank == 0) { + Json::Value elementList(Json::arrayValue); + elementList.resize(totalElems); + for (int j = 0; j < totalElems; ++j) { + elementList[j] = fullElemList[j]; + } + free(fullElemList); + output[jsonOutputTag[i]]["global-element-id"] = elementList; + } + free(localElemList); + MPI_Barrier(MPI_COMM_WORLD); } if (world_rank == 0) { - Json::Value elementList(Json::arrayValue); - elementList.resize(totalElems); - for (int j = 0; j < totalElems; ++j) { - elementList[j] = fullElemList[j]; - } - free(fullElemList); - output[jsonOutputTag[i]]["global-element-id"] = elementList; + free(countPerProc); + free(cumCountPerProc); } - free(localElemList); - MPI_Barrier(MPI_COMM_WORLD); - } - if (world_rank == 0) { - free(countPerProc); - free(cumCountPerProc); } // Write output to file @@ -1315,7 +1380,7 @@ void WriteOutputFile() { } } -void InitInjuryCriterion(void) { +void InitInjuryCriteria(void) { // Set all min and max quantities to zero for (int i = 0; i < maxQuantities; ++i) { maxValue[i] = 0.0; @@ -1381,7 +1446,7 @@ void InitInjuryCriterion(void) { outputDoubleArray[0] = PS_Old; } -void CalculateInjuryCriterions(void) { +void CalculateInjuryCriteria(void) { double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; double PSR = 0.0, PSxSR = 0.0; diff --git a/examples/ex5/input_test_x.json b/examples/ex5/input_test_x.json index 3ffd516a..e8ad5327 100644 --- a/examples/ex5/input_test_x.json +++ b/examples/ex5/input_test_x.json @@ -6,18 +6,18 @@ }, "simulation": { "mesh" : "coarse_brain.inp", + "time-all": [ 0, 0.3125, 0.625, 0.9375, 1.25, 1.5625, 1.875, 2.1875, 2.5, 2.8125, 3.125, 3.4375, 3.75, 4.0625, 4.375, 4.6875, 5, + 5.3125, 5.625, 5.9375, 6.25, 6.5625, 6.875, 7.1875, 7.5, 7.8125, 8.125, 8.4375, 8.75, 9.0625, 9.375, 9.6875, 10, 10.3125, + 10.625, 10.9375, 11.25, 11.5625, 11.875, 12.1875, 12.5, 12.8125, 13.125, 13.4375, 13.75, 14.0625, 14.375, 14.6875, + 15, 15.3125, 15.625, 15.9375, 16.25, 16.5625, 16.875, 17.1875, 17.5, 17.8125, 18.125, 18.4375, 18.75, 19.0625, 19.375, + 19.6875, 20, 20.3125, 20.625, 20.9375, 21.25, 21.5625, 21.875, 22.1875, 22.5, 22.8125, 23.125, 23.4375, 23.75, 24.0625, + 24.375, 24.6875, 25, 25.3125, 25.625, 25.9375, 26.25, 26.5625, 26.875, 27.1875, 27.5, 27.8125, 28.125, 28.4375, 28.75, + 29.0625, 29.375, 29.6875, 30, 30.3125, 30.625, 30.9375, 31.25, 31.5625, 31.875, 32.1875, 32.5, 32.8125, 33.125, 33.4375, + 33.75, 34.0625, 34.375, 34.6875, 35, 35.3125, 35.625, 35.9375, 36.25, 36.5625, 36.875, 37.1875, 37.5, 37.8125, 38.125, + 38.4375, 38.75, 39.0625, 39.375, 39.6875, 40, 40.3125, 40.625, 40.9375, 41.25, 41.5625, 41.875, 42.1875, 42.5, 42.8125, + 43.125, 43.4375, 43.75, 44.0625, 44.375, 44.6875, 45, 45.3125, 45.625, 45.9375, 46.25, 46.5625, 46.875, 47.1875, 47.5, + 47.8125, 48.125, 48.4375, 48.75, 49.0625, 49.375, 49.6875 ], "linear-acceleration": { - "xt": [ 0, 0.3125, 0.625, 0.9375, 1.25, 1.5625, 1.875, 2.1875, 2.5, 2.8125, 3.125, 3.4375, 3.75, 4.0625, 4.375, 4.6875, 5, - 5.3125, 5.625, 5.9375, 6.25, 6.5625, 6.875, 7.1875, 7.5, 7.8125, 8.125, 8.4375, 8.75, 9.0625, 9.375, 9.6875, 10, 10.3125, - 10.625, 10.9375, 11.25, 11.5625, 11.875, 12.1875, 12.5, 12.8125, 13.125, 13.4375, 13.75, 14.0625, 14.375, 14.6875, - 15, 15.3125, 15.625, 15.9375, 16.25, 16.5625, 16.875, 17.1875, 17.5, 17.8125, 18.125, 18.4375, 18.75, 19.0625, 19.375, - 19.6875, 20, 20.3125, 20.625, 20.9375, 21.25, 21.5625, 21.875, 22.1875, 22.5, 22.8125, 23.125, 23.4375, 23.75, 24.0625, - 24.375, 24.6875, 25, 25.3125, 25.625, 25.9375, 26.25, 26.5625, 26.875, 27.1875, 27.5, 27.8125, 28.125, 28.4375, 28.75, - 29.0625, 29.375, 29.6875, 30, 30.3125, 30.625, 30.9375, 31.25, 31.5625, 31.875, 32.1875, 32.5, 32.8125, 33.125, 33.4375, - 33.75, 34.0625, 34.375, 34.6875, 35, 35.3125, 35.625, 35.9375, 36.25, 36.5625, 36.875, 37.1875, 37.5, 37.8125, 38.125, - 38.4375, 38.75, 39.0625, 39.375, 39.6875, 40, 40.3125, 40.625, 40.9375, 41.25, 41.5625, 41.875, 42.1875, 42.5, 42.8125, - 43.125, 43.4375, 43.75, 44.0625, 44.375, 44.6875, 45, 45.3125, 45.625, 45.9375, 46.25, 46.5625, 46.875, 47.1875, 47.5, - 47.8125, 48.125, 48.4375, 48.75, 49.0625, 49.375, 49.6875 ], "xv": [ -17.32, -17.57, -17.85, -18.15, -18.44, -18.71, -18.93, -19.11, -19.21, -19.23, -19.16, -18.98, -18.7, -18.29, -17.78, -17.18, -16.51, -15.83, -15.21, -14.72, -14.48, -14.63, -15.3, -16.64, -18.83, -21.98, -26.24, -31.68, -38.32, -46.14, -55, -64.7, -74.93, -85.28, -95.32, -104.61, -112.71, -119.18, -123.54, -125.29, -123.87, -118.76, -109.57, -96.18, -78.93, @@ -29,16 +29,6 @@ -88.83, -86.53, -82.74, -77.62, -71.5, -64.78, -57.95, -51.48, -45.79, -41.19, -37.87, -35.83, -34.95, -34.94, -35.46, -36.08, -36.4, -36.08, -34.89, -32.7, -29.58, -25.72, -21.44, -17.17, -13.36, -10.45, -8.77, -8.56, -9.88, -12.62, -16.52, -21.17, -26.09, -30.78, -34.77, -37.74, -39.57], - "yt": [ 0, 0.3125, 0.625, 0.9375, 1.25, 1.5625, 1.875, 2.1875, 2.5, 2.8125, 3.125, 3.4375, 3.75, 4.0625, 4.375, 4.6875, 5, 5.3125, - 5.625, 5.9375, 6.25, 6.5625, 6.875, 7.1875, 7.5, 7.8125, 8.125, 8.4375, 8.75, 9.0625, 9.375, 9.6875, 10, 10.3125, 10.625, - 10.9375, 11.25, 11.5625, 11.875, 12.1875, 12.5, 12.8125, 13.125, 13.4375, 13.75, 14.0625, 14.375, 14.6875, 15, 15.3125, - 15.625, 15.9375, 16.25, 16.5625, 16.875, 17.1875, 17.5, 17.8125, 18.125, 18.4375, 18.75, 19.0625, 19.375, 19.6875, 20, 20.3125, - 20.625, 20.9375, 21.25, 21.5625, 21.875, 22.1875, 22.5, 22.8125, 23.125, 23.4375, 23.75, 24.0625, 24.375, 24.6875, 25, 25.3125, - 25.625, 25.9375, 26.25, 26.5625, 26.875, 27.1875, 27.5, 27.8125, 28.125, 28.4375, 28.75, 29.0625, 29.375, 29.6875, 30, 30.3125, - 30.625, 30.9375, 31.25, 31.5625, 31.875, 32.1875, 32.5, 32.8125, 33.125, 33.4375, 33.75, 34.0625, 34.375, 34.6875, 35, 35.3125, - 35.625, 35.9375, 36.25, 36.5625, 36.875, 37.1875, 37.5, 37.8125, 38.125, 38.4375, 38.75, 39.0625, 39.375, 39.6875, 40, 40.3125, - 40.625, 40.9375, 41.25, 41.5625, 41.875, 42.1875, 42.5, 42.8125, 43.125, 43.4375, 43.75, 44.0625, 44.375, 44.6875, 45, 45.3125, - 45.625, 45.9375, 46.25, 46.5625, 46.875, 47.1875, 47.5, 47.8125, 48.125, 48.4375, 48.75, 49.0625, 49.375, 49.6875], "yv": [ -10.15, -10.05, -9.93, -9.78, -9.61, -9.41, -9.2, -8.98, -8.76, -8.56, -8.39, -8.28, -8.28, -8.42, -8.75, -9.32, -10.19, -11.39, -12.94, -14.79, -16.86, -18.92, -20.67, -21.62, -21.19, -18.63, -13.13, -3.81, 10.15, 29.46, 54.68, 86.11, 123.84, 167.77, 217.65, 273.11, 333.62, 398.43, 466.4, 535.89, 604.69, 670.1, 729.1, 778.79, 816.73, 841.36, 852.28, 850.4, 837.83, @@ -49,16 +39,6 @@ -103.14, -104.22, -105.4, -106.78, -108.39, -110.22, -112.22, -114.35, -116.57, -118.84, -121.13, -123.39, -125.56, -127.52, -129.15, -130.31, -130.87, -130.74, -129.85, -128.21, -125.87, -122.93, -119.52, -115.79, -111.88, -107.92, -103.97, -100.06, -96.18, -92.26, -88.23, -84, -79.54, -74.84, -69.94, -64.95, -60.01, -55.29, -50.98, -47.22, -44.14, -41.8, -40.22, -39.32 ], - "zt": [ 0, 0.3125, 0.625, 0.9375, 1.25, 1.5625, 1.875, 2.1875, 2.5, 2.8125, 3.125, 3.4375, 3.75, 4.0625, 4.375, 4.6875, 5, 5.3125, - 5.625, 5.9375, 6.25, 6.5625, 6.875, 7.1875, 7.5, 7.8125, 8.125, 8.4375, 8.75, 9.0625, 9.375, 9.6875, 10, 10.3125, 10.625, - 10.9375, 11.25, 11.5625, 11.875, 12.1875, 12.5, 12.8125, 13.125, 13.4375, 13.75, 14.0625, 14.375, 14.6875, 15, 15.3125, 15.625, - 15.9375, 16.25, 16.5625, 16.875, 17.1875, 17.5, 17.8125, 18.125, 18.4375, 18.75, 19.0625, 19.375, 19.6875, 20, 20.3125, 20.625, - 20.9375, 21.25, 21.5625, 21.875, 22.1875, 22.5, 22.8125, 23.125, 23.4375, 23.75, 24.0625, 24.375, 24.6875, 25, 25.3125, 25.625, - 25.9375, 26.25, 26.5625, 26.875, 27.1875, 27.5, 27.8125, 28.125, 28.4375, 28.75, 29.0625, 29.375, 29.6875, 30, 30.3125, 30.625, - 30.9375, 31.25, 31.5625, 31.875, 32.1875, 32.5, 32.8125, 33.125, 33.4375, 33.75, 34.0625, 34.375, 34.6875, 35, 35.3125, 35.625, - 35.9375, 36.25, 36.5625, 36.875, 37.1875, 37.5, 37.8125, 38.125, 38.4375, 38.75, 39.0625, 39.375, 39.6875, 40, 40.3125, 40.625, - 40.9375, 41.25, 41.5625, 41.875, 42.1875, 42.5, 42.8125, 43.125, 43.4375, 43.75, 44.0625, 44.375, 44.6875, 45, 45.3125, 45.625, - 45.9375, 46.25, 46.5625, 46.875, 47.1875, 47.5, 47.8125, 48.125, 48.4375, 48.75, 49.0625, 49.375, 49.6875 ], "zv": [ -7.13, -7, -6.81, -6.58, -6.3, -5.99, -5.66, -5.34, -5.06, -4.86, -4.77, -4.82, -5.04, -5.41, -5.92, -6.5, -7.06, -7.49, -7.65, -7.38, -6.53, -4.98, -2.64, 0.52, 4.43, 8.96, 13.85, 18.77, 23.34, 27.14, 29.75, 30.82, 30.02, 27.12, 21.92, 14.32, 4.26, -8.17, -22.79, -39.31, -57.36, -76.49, -96.21, -115.94, -135.06, -152.88, -168.69, -181.79, -191.54, -197.41, -199.03, -196.16, @@ -70,16 +50,6 @@ -9.21, -11.86, -14.99, -18.81, -23.38, -28.61, -34.26, -39.95, -45.26, -49.73, -52.96, -54.65, -54.6, -52.83, -49.47, -44.88, -39.5, -33.88, -28.57, -24.09, -20.77, -18.75 ] }, "angular-acceleration": { - "xt": [ 0, 0.3125, 0.625, 0.9375, 1.25, 1.5625, 1.875, 2.1875, 2.5, 2.8125, 3.125, 3.4375, 3.75, 4.0625, 4.375, 4.6875, 5, 5.3125, - 5.625, 5.9375, 6.25, 6.5625, 6.875, 7.1875, 7.5, 7.8125, 8.125, 8.4375, 8.75, 9.0625, 9.375, 9.6875, 10, 10.3125, 10.625, - 10.9375, 11.25, 11.5625, 11.875, 12.1875, 12.5, 12.8125, 13.125, 13.4375, 13.75, 14.0625, 14.375, 14.6875, 15, 15.3125, 15.625, - 15.9375, 16.25, 16.5625, 16.875, 17.1875, 17.5, 17.8125, 18.125, 18.4375, 18.75, 19.0625, 19.375, 19.6875, 20, 20.3125, 20.625, - 20.9375, 21.25, 21.5625, 21.875, 22.1875, 22.5, 22.8125, 23.125, 23.4375, 23.75, 24.0625, 24.375, 24.6875, 25, 25.3125, 25.625, - 25.9375, 26.25, 26.5625, 26.875, 27.1875, 27.5, 27.8125, 28.125, 28.4375, 28.75, 29.0625, 29.375, 29.6875, 30, 30.3125, 30.625, - 30.9375, 31.25, 31.5625, 31.875, 32.1875, 32.5, 32.8125, 33.125, 33.4375, 33.75, 34.0625, 34.375, 34.6875, 35, 35.3125, 35.625, - 35.9375, 36.25, 36.5625, 36.875, 37.1875, 37.5, 37.8125, 38.125, 38.4375, 38.75, 39.0625, 39.375, 39.6875, 40, 40.3125, 40.625, - 40.9375, 41.25, 41.5625, 41.875, 42.1875, 42.5, 42.8125, 43.125, 43.4375, 43.75, 44.0625, 44.375, 44.6875, 45, 45.3125, 45.625, - 45.9375, 46.25, 46.5625, 46.875, 47.1875, 47.5, 47.8125, 48.125, 48.4375, 48.75, 49.0625, 49.375, 49.6875 ], "xv": [ 0.52, 0.83, 1.2, 1.61, 2.05, 2.5, 2.96, 3.38, 3.73, 3.93, 3.88, 3.5, 2.69, 1.39, -0.4, -2.62, -5.09, -7.53, -9.52, -10.48, -9.72, -6.49, -0.06, 10.12, 24.34, 42.4, 63.6, 86.67, 110.02, 132.04, 151.84, 170.05, 189.81, 217.57, 263.3, 339.8, 460.82, 638.3, 879.55, 1184.97, 1546.57, 1946.96, 2358.98, 2746.32, 3066.41, 3276.06, 3339.25, 3235.45, 2966.01, 2557.03, 2057.6, @@ -91,16 +61,6 @@ -341.49, -411.43, -491.35, -577.43, -664.68, -747.88, -822.59, -885.95, -937.29, -978.23, -1012.45, -1044.95, -1081.15, -1125.94, -1182.88, -1253.61, -1337.41, -1431.02, -1528.74, -1622.83, -1704.3, -1763.85, -1793, -1785.16, -1736.59, -1647.06, -1520.34, -1364.4, -1191.19, -1016.15, -857.07, -731.41, -650.81 ], - "yt": [ 0, 0.3125, 0.625, 0.9375, 1.25, 1.5625, 1.875, 2.1875, 2.5, 2.8125, 3.125, 3.4375, 3.75, 4.0625, 4.375, 4.6875, 5, 5.3125, - 5.625, 5.9375, 6.25, 6.5625, 6.875, 7.1875, 7.5, 7.8125, 8.125, 8.4375, 8.75, 9.0625, 9.375, 9.6875, 10, 10.3125, 10.625, 10.9375, - 11.25, 11.5625, 11.875, 12.1875, 12.5, 12.8125, 13.125, 13.4375, 13.75, 14.0625, 14.375, 14.6875, 15, 15.3125, 15.625, 15.9375, - 16.25, 16.5625, 16.875, 17.1875, 17.5, 17.8125, 18.125, 18.4375, 18.75, 19.0625, 19.375, 19.6875, 20, 20.3125, 20.625, 20.9375, - 21.25, 21.5625, 21.875, 22.1875, 22.5, 22.8125, 23.125, 23.4375, 23.75, 24.0625, 24.375, 24.6875, 25, 25.3125, 25.625, 25.9375, - 26.25, 26.5625, 26.875, 27.1875, 27.5, 27.8125, 28.125, 28.4375, 28.75, 29.0625, 29.375, 29.6875, 30, 30.3125, 30.625, 30.9375, - 31.25, 31.5625, 31.875, 32.1875, 32.5, 32.8125, 33.125, 33.4375, 33.75, 34.0625, 34.375, 34.6875, 35, 35.3125, 35.625, 35.9375, - 36.25, 36.5625, 36.875, 37.1875, 37.5, 37.8125, 38.125, 38.4375, 38.75, 39.0625, 39.375, 39.6875, 40, 40.3125, 40.625, 40.9375, - 41.25, 41.5625, 41.875, 42.1875, 42.5, 42.8125, 43.125, 43.4375, 43.75, 44.0625, 44.375, 44.6875, 45, 45.3125, 45.625, 45.9375, - 46.25, 46.5625, 46.875, 47.1875, 47.5, 47.8125, 48.125, 48.4375, 48.75, 49.0625, 49.375, 49.6875 ], "yv": [ 6.16, 9.44, 13.2, 17.16, 21.04, 24.57, 27.55, 29.84, 31.27, 31.71, 30.96, 28.84, 25.13, 19.68, 12.39, 3.37, -7.05, -18.14, -28.8, -37.38, -41.75, -39.26, -26.96, -1.8, 38.94, 97.18, 173.4, 266.13, 371.5, 483.12, 592.44, 689.63, 764.97, 810.51, 821.47, 796.75, 738.4, 650.22, 536.38, 400.87, 247.64, 80.93, -94.59, -273.88, -451.42, -620.7, -773.27, -897.91, -980.6, -1005.73, @@ -112,16 +72,6 @@ -347.81, -320.38, -330.45, -378, -458.16, -561.87, -677.23, -791.19, -891.46, -968.16, -1015, -1030.06, -1015.88, -978.94, -928.64, -875.81, -831.08, -803.39, -798.91, -820.25, -866.31, -932.36, -1010.65, -1091.27, -1163.38, -1216.55, -1242.2, -1234.69, -1192.07, -1116.25, -1012.8, -890.26, -759.4, -632.22, -520.82, -435.58, -382.24 ], - "zt": [ 0, 0.3125, 0.625, 0.9375, 1.25, 1.5625, 1.875, 2.1875, 2.5, 2.8125, 3.125, 3.4375, 3.75, 4.0625, 4.375, 4.6875, 5, 5.3125, - 5.625, 5.9375, 6.25, 6.5625, 6.875, 7.1875, 7.5, 7.8125, 8.125, 8.4375, 8.75, 9.0625, 9.375, 9.6875, 10, 10.3125, 10.625, - 10.9375, 11.25, 11.5625, 11.875, 12.1875, 12.5, 12.8125, 13.125, 13.4375, 13.75, 14.0625, 14.375, 14.6875, 15, 15.3125, 15.625, - 15.9375, 16.25, 16.5625, 16.875, 17.1875, 17.5, 17.8125, 18.125, 18.4375, 18.75, 19.0625, 19.375, 19.6875, 20, 20.3125, 20.625, - 20.9375, 21.25, 21.5625, 21.875, 22.1875, 22.5, 22.8125, 23.125, 23.4375, 23.75, 24.0625, 24.375, 24.6875, 25, 25.3125, 25.625, - 25.9375, 26.25, 26.5625, 26.875, 27.1875, 27.5, 27.8125, 28.125, 28.4375, 28.75, 29.0625, 29.375, 29.6875, 30, 30.3125, 30.625, - 30.9375, 31.25, 31.5625, 31.875, 32.1875, 32.5, 32.8125, 33.125, 33.4375, 33.75, 34.0625, 34.375, 34.6875, 35, 35.3125, 35.625, - 35.9375, 36.25, 36.5625, 36.875, 37.1875, 37.5, 37.8125, 38.125, 38.4375, 38.75, 39.0625, 39.375, 39.6875, 40, 40.3125, 40.625, - 40.9375, 41.25, 41.5625, 41.875, 42.1875, 42.5, 42.8125, 43.125, 43.4375, 43.75, 44.0625, 44.375, 44.6875, 45, 45.3125, 45.625, - 45.9375, 46.25, 46.5625, 46.875, 47.1875, 47.5, 47.8125, 48.125, 48.4375, 48.75, 49.0625, 49.375, 49.6875 ], "zv": [ 2.05, 3.17, 4.46, 5.84, 7.21, 8.48, 9.59, 10.46, 11.07, 11.34, 11.23, 10.65, 9.48, 7.59, 4.79, 0.92, -4.14, -10.38, -17.65, -25.51, -33.22, -39.65, -43.28, -42.21, -34.18, -16.75, 12.55, 55.96, 115.29, 191.6, 285.12, 395.09, 519.86, 656.98, 803.29, 955.1, 1108.24, 1258.17, 1399.92, 1528.15, 1637.23, 1721.79, 1777.5, 1801.96, 1795.27, 1760.28, 1702.26, 1628.24, 1546.15, diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index d42b57d2..4c0b938a 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -3,6 +3,8 @@ import linecache import numpy as np +import csv + jsonInputFile = sys.argv[1] inputJson = json.loads(open(jsonInputFile).read()) uid = inputJson["uid"] @@ -48,45 +50,94 @@ maxT = np.fabs(angularAcc) outputJson = json.loads(open(jsonOutputFile).read()) -meshType = outputJson["output-file"].split('_')[0] -cellDataFile = meshType + '_cellcentres.txt' -# Part list -partList = ["msc", "stem", "cerebellum", "frontal", "parietal", "occipital", - "temporal"] +if (not 'compute-injury-criteria' in inputJson['simulation']) or inputJson['simulation']['compute-injury-criteria']: + meshType = outputJson["output-file"].split('_')[0] + cellDataFile = meshType + '_cellcentres.txt' + + # Part list + partList = ["msc", "stem", "cerebellum", "frontal", "parietal", "occipital", + "temporal"] -# Populate region from cell centres file -maxInjuryMetrics = ["principal-max-strain", "principal-min-strain", - "maximum-shear-strain", "maximum-PSxSR"]; -threshInjuryMetrics = ["CSDM-10", "CSDM-15", "CSDM-30", "CSDM-5", - "MPS-95"]; + # Populate region from cell centres file + maxInjuryMetrics = ["principal-max-strain", "principal-min-strain", + "maximum-shear-strain", "maximum-PSxSR"]; + threshInjuryMetrics = ["CSDM-10", "CSDM-15", "CSDM-30", "CSDM-5", + "MPS-95"]; -# Loop over metric with single element output -for metric in maxInjuryMetrics: - maxLocation = int(outputJson[metric]["global-element-id"]) - maxLine = linecache.getline(cellDataFile, maxLocation).split() - outputJson[metric]["brain-region"] = maxLine[4] - # overwrite location with femtech-reference co-ordinate - outputJson[metric]["location"] = \ - [float(maxLine[1]), float(maxLine[2]), float(maxLine[3])] - outputJson[metric].pop("global-element-id", None) + # Loop over metric with single element output + for metric in maxInjuryMetrics: + maxLocation = int(outputJson[metric]["global-element-id"]) + maxLine = linecache.getline(cellDataFile, maxLocation).split() + outputJson[metric]["brain-region"] = maxLine[4] + # overwrite location with femtech-reference co-ordinate + outputJson[metric]["location"] = \ + [float(maxLine[1]), float(maxLine[2]), float(maxLine[3])] + outputJson[metric].pop("global-element-id", None) -# Loop over metric with multiple element output -for metric in threshInjuryMetrics: - maxLocation = outputJson[metric]["global-element-id"] - for part in partList: - outputJson[metric][part] = [] - for loc in maxLocation: - maxLine = linecache.getline(cellDataFile, int(loc)).split() - outputJson[metric][maxLine[4]].append([float(maxLine[1]), \ - float(maxLine[2]), float(maxLine[3])]) - outputJson[metric].pop("global-element-id", None) + # Loop over metric with multiple element output + for metric in threshInjuryMetrics: + maxLocation = outputJson[metric]["global-element-id"] + for part in partList: + outputJson[metric][part] = [] + for loc in maxLocation: + maxLine = linecache.getline(cellDataFile, int(loc)).split() + outputJson[metric][maxLine[4]].append([float(maxLine[1]), \ + float(maxLine[2]), float(maxLine[3])]) + outputJson[metric].pop("global-element-id", None) # Add max quantities outputJson["max-linear-acc-g"] = maxG outputJson["max-angular-acc-rads2"] = maxT +if 'output-nodes' in inputJson['simulation'] or 'output-elements' in inputJson['simulation']: + # Open plot column file + plotFile = 'plot_' + uid + '.dat' + with open(plotFile, "r") as csv_file: + csv_reader = csv.DictReader(csv_file, delimiter=' ') + # Get count to pre-allocate arrays + nRow = sum(1 for _ in csv_reader) + # Read the time arrays + time = np.zeros(nRow) + csv_file.seek(0) + # Go to next item to skip header + next(csv_reader) + for n, row in enumerate(csv_reader): + time[n] = row['#Time'] + outputJson['plot'] = {} + outputJson['plot']['time'] = time.tolist() + # Read all the nodes + xVal = np.zeros(nRow) + yVal = np.zeros(nRow) + zVal = np.zeros(nRow) + for n, node in enumerate(inputJson['simulation']['output-nodes']): + nodeStr = 'Node'+'%08d'%node+'-Disp' + csv_file.seek(0) + # Go to next item to skip header + next(csv_reader) + for i, row in enumerate(csv_reader): + xVal[i] = row[nodeStr+'X'] + yVal[i] = row[nodeStr+'Y'] + zVal[i] = row[nodeStr+'Z'] + outputJson['plot']['nodal-displacement-'+str(n)] = {} + outputJson['plot']['nodal-displacement-'+str(n)]['x'] = xVal.tolist(); + outputJson['plot']['nodal-displacement-'+str(n)]['y'] = yVal.tolist(); + outputJson['plot']['nodal-displacement-'+str(n)]['z'] = zVal.tolist(); + for n, element in enumerate(inputJson['simulation']['output-elements']): + elemStr = 'Elem'+'%08d'%element+'-Stre' + csv_file.seek(0) + # Go to next item to skip header + next(csv_reader) + for i, row in enumerate(csv_reader): + xVal[i] = row[elemStr+'P'] + yVal[i] = row[elemStr+'S'] + outputJson['plot']['element-stress-'+str(n)] = {} + outputJson['plot']['element-stress-'+str(n)]['principal'] = xVal.tolist(); + outputJson['plot']['element-stress-'+str(n)]['shear'] = yVal.tolist(); + +# print(outputJson) # jstr = json.dumps(outputJson, indent = 2, sort_keys=False) # print(jstr) +# jsonOutputFile = uid + '_output_modified.json' with open(jsonOutputFile, 'w') as outfile: json.dump(outputJson, outfile, indent = 2, sort_keys=False) From e6bc1b1e9dc732328ed5faf877405163140f59ac Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 2 Jan 2021 16:39:24 +0530 Subject: [PATCH 029/106] MPS file write added for all elements except skull and csf --- examples/ex5/ex5.cpp | 45 ++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 45 insertions(+) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 83107551..ea92ae17 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -27,6 +27,7 @@ int getImpactID(std::string location); void WriteOutputFile(); void CalculateInjuryCriteria(void); void TransformMesh(const Json::Value &jsonInput); +void WriteMPS(void); /* Global Variables/Parameters */ double Time, dt; @@ -100,6 +101,8 @@ const std::string thresholdTag[threshQuantities] = { /* Variables for maximum Principal Strain times Strain Rate */ double *PS_Old = NULL; double *PSxSRArray = NULL; +/* Store MPS of each element */ +double *elementMPS = NULL; int nElementsInjury = 0, *elementIDInjury = NULL; // part ID to exclude from injury computation @@ -324,6 +327,8 @@ int main(int argc, char **argv) { "Final Displacement Solution"); WriteOutputFile(); + WriteMPS(); + // Free local boundary condition related arrays free1DArray(boundaryID); free1DArray(linAccXt); @@ -351,6 +356,7 @@ int main(int argc, char **argv) { for (int i = 0; i < percentileQuantities; ++i) { free1DArray(percentileElements[i]); } + free1DArray(elementMPS); if (rankForCustomPlot) { MPI_File_close(&outputFilePtr); @@ -1378,6 +1384,7 @@ void WriteOutputFile() { std::ofstream oFile(uid + "_output.json"); writer->write(output, &oFile); } + FILE_LOG_MASTER(INFO, "Json output file written"); } void InitInjuryCriteria(void) { @@ -1429,6 +1436,7 @@ void InitInjuryCriteria(void) { } PS_Old = (double *)calloc(nElementsInjury, sizeof(double)); PSxSRArray = (double *)calloc(nElementsInjury, sizeof(double)); + elementMPS = (double *)calloc(nelements, sizeof(double)); // Array to output to Paraview // All threshold elements CSDM : 5, 10, 15, 30, MPSR-120, MPSxSR-28 @@ -1501,6 +1509,9 @@ void CalculateInjuryCriteria(void) { } PS_Old[j] = currentStrainMaxElem; PSxSRArray[j] = PSxSR; + if (currentStrainMaxElem > elementMPS[i]) { + elementMPS[i] = currentStrainMaxElem; + } } // For loop over elements included for injury // Compute 95 percentile MPS and corresponding element list @@ -1681,3 +1692,37 @@ void TransformMesh(const Json::Value &jsonInput) { // Ensure rest of the code is executed after the mesh transformation MPI_Barrier(MPI_COMM_WORLD); } + +void WriteMPS(void) { + MPI_File mpsFilePtr; + MPI_Info infoin; + MPI_Info_create(&infoin); + MPI_Info_set(infoin, "access_style", "write_once,random"); + char fileName[] = "MPSfile.dat"; + + int err; + err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); + if (err != MPI_SUCCESS) { + if (world_rank == 0) { + MPI_File_delete(fileName, MPI_INFO_NULL); + } + err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); + if (err != MPI_SUCCESS) { + FILE_LOG_SINGLE(ERROR, "Unable to open MPS file"); + return; + } + } + + char s1[25*nelements] = {0}; + char s2[25] = {0}; + for (unsigned int i = 0; i < nelements; ++i) { + sprintf(s2, "%06d, %.9e\n", global_eid[i], elementMPS[i]); + strcat(s1, s2); + } + // FILE_LOG(ERROR, "String : %s, Size : %d", s1, strlen(s1)); + MPI_File_write_ordered(mpsFilePtr, s1, strlen(s1), MPI_CHAR, MPI_STATUS_IGNORE); + + MPI_File_close(&mpsFilePtr); + FILE_LOG_MASTER(INFO, "MPS values written to file"); + return; +} From f51226eceb7507f952ee054fe013d59d278d3133 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 4 Jan 2021 19:46:12 +0530 Subject: [PATCH 030/106] add graph script updated to include time-all input array --- examples/ex5/addGraph.py | 27 +++++++++++++++++++++------ 1 file changed, 21 insertions(+), 6 deletions(-) diff --git a/examples/ex5/addGraph.py b/examples/ex5/addGraph.py index 9d6d7e92..931ad945 100644 --- a/examples/ex5/addGraph.py +++ b/examples/ex5/addGraph.py @@ -40,18 +40,33 @@ tArray[tA*nRes:(tA+1)*nRes] = localT[:-1] tArray[-1] = tArrayRaw[-1] +timeArray = False + +if 'time-all' in simulationJson: + timeFull = simulationJson['time-all'] + timeArray = True + if type(simulationJson["linear-acceleration"]) == dict: - linXt = simulationJson["linear-acceleration"]["xt"] + if timeArray: + linXt = timeFull + linYt = timeFull + linZt = timeFull + angXt = timeFull + angYt = timeFull + angZt = timeFull + else: + linXt = simulationJson["linear-acceleration"]["xt"] + linYt = simulationJson["linear-acceleration"]["yt"] + linZt = simulationJson["linear-acceleration"]["zt"] + angXt = simulationJson["angular-acceleration"]["xt"] + angYt = simulationJson["angular-acceleration"]["yt"] + angZt = simulationJson["angular-acceleration"]["zt"] + linXv = simulationJson["linear-acceleration"]["xv"] - linYt = simulationJson["linear-acceleration"]["yt"] linYv = simulationJson["linear-acceleration"]["yv"] - linZt = simulationJson["linear-acceleration"]["zt"] linZv = simulationJson["linear-acceleration"]["zv"] - angXt = simulationJson["angular-acceleration"]["xt"] angXv = simulationJson["angular-acceleration"]["xv"] - angYt = simulationJson["angular-acceleration"]["yt"] angYv = simulationJson["angular-acceleration"]["yv"] - angZt = simulationJson["angular-acceleration"]["zt"] angZv = simulationJson["angular-acceleration"]["zv"] linArrayX = np.interp(tArray, linXt, linXv) From 3256e6dafa4f105f5bfd2c05539ab94698445299 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 9 Jan 2021 08:45:40 +0530 Subject: [PATCH 031/106] Added angular-velocity magnitude computation Git branch and hash written to output.json --- examples/ex5/ex5.cpp | 7 ++++++- examples/ex5/updateOutputJson.py | 23 +++++++++++++++++++++++ 2 files changed, 29 insertions(+), 1 deletion(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index ea92ae17..b1595c65 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -1,6 +1,7 @@ #include "FemTech.h" #include "jsonfuncs.h" #include "utilities.h" +#include "gitbranch.h" #include "json/writer.h" @@ -327,7 +328,9 @@ int main(int argc, char **argv) { "Final Displacement Solution"); WriteOutputFile(); - WriteMPS(); + if (computeInjuryFlag) { + WriteMPS(); + } // Free local boundary condition related arrays free1DArray(boundaryID); @@ -1176,6 +1179,8 @@ void WriteOutputFile() { vec[i] = cm[i]; } output["center-of-mass"] = vec; + output["code-branch"] = GIT_BRANCH; + output["code-version"] = GIT_COMMIT_HASH; } if (computeInjuryFlag) { // Compute and write principal values diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index 4c0b938a..d8a396f4 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -5,17 +5,24 @@ import csv +# Code assumes maximum-time is set to the last value of the time array jsonInputFile = sys.argv[1] inputJson = json.loads(open(jsonInputFile).read()) uid = inputJson["uid"] jsonOutputFile = uid + '_output.json' linearAcc = inputJson['simulation']['linear-acceleration'] angularAcc = inputJson['simulation']['angular-acceleration'] +computeAngVel = False +if 'angular-velocity' in inputJson['simulation']: + computeAngVel = True + angularVel = inputJson['simulation']['angular-velocity'] # Check if time array is present, common for all accelerations if 'time-all' in inputJson['simulation']: maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) + if computeAngVel: + maxAV = np.max(np.sqrt(np.array(angularVel['xv'])**2+np.array(angularVel['yv'])**2+np.array(angularVel['zv'])**2)) elif 'xt' in linearAcc: # If all sensor values have corresponding time arrays # If they are equal compute maximum directly, else interpolate and compute if (np.array_equal(np.array(linearAcc['xt']), np.array(linearAcc['yt'])) @@ -42,6 +49,20 @@ yV = np.interp(tInter, angularAcc['yt'], angularAcc['yv']) zV = np.interp(tInter, angularAcc['zt'], angularAcc['zv']) maxT = np.max(np.sqrt(xV**2+yV**2+zV**2)) + + if computeAngVel: + if (np.array_equal(np.array(angularVel['xt']), np.array(angularVel['yt'])) + and np.array_equal(np.array(angularVel['xt']), np.array(angularVel['zt']))): + maxAV = np.max(np.sqrt(np.array(angularVel['xv'])**2+np.array(angularVel['yv'])**2+np.array(angularVel['zv'])**2)) + else: + nCount = 5*max([len(angularVel['xt']), len(angularVel['yt']), len(angularVel['zt'])]) + tmin = min(angularVel['xt'][0], angularVel['yt'][0], angularVel['zt'][0]) + tmax = min(angularVel['xt'][-1], angularVel['yt'][-1], angularVel['zt'][-1]) + tInter = np.linspace(tmin, tmax, nCount) + xV = np.interp(tInter, angularVel['xt'], angularVel['xv']) + yV = np.interp(tInter, angularVel['yt'], angularVel['yv']) + zV = np.interp(tInter, angularVel['zt'], angularVel['zv']) + maxAV = np.max(np.sqrt(xV**2+yV**2+zV**2)) else: maxG = np.sqrt(np.array(linearAcc[0])**2+np.array(linearAcc[1])**2+np.array(linearAcc[2])**2) if isinstance(angularAcc, list): @@ -89,6 +110,8 @@ # Add max quantities outputJson["max-linear-acc-g"] = maxG outputJson["max-angular-acc-rads2"] = maxT +if computeAngVel: + outputJson["max-angular-vel-rads"] = maxAV if 'output-nodes' in inputJson['simulation'] or 'output-elements' in inputJson['simulation']: # Open plot column file From a653b9b8979f32462540b697b4d2a7f6e6601227 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 17 Jan 2021 21:11:21 +0530 Subject: [PATCH 032/106] Running code with Maxwell viscoelastic model. Not validated --- examples/ex9/ex9.cpp | 2 +- examples/ex9/materials.dat | 6 +- src/fem/AllocateArrays.cpp | 3 +- src/fem/ShapeFunctions/ShapeFunctions.cpp | 3 + src/io/input/ReadMaterials.cpp | 6 +- src/materials/HGOIsotropic.cpp | 2 +- src/materials/LinearElastic.cpp | 2 +- src/materials/StVenantKirchhoff.cpp | 4 +- src/materials/Viscoelastic.cpp | 188 +++++++++++++++------- src/timestep/CalculateTimeStep.cpp | 22 ++- 10 files changed, 170 insertions(+), 68 deletions(-) diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index e343e50e..82a73de5 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -71,7 +71,7 @@ int main(int argc, char **argv) { dt = 0.0; double tMax = 1.00; // max simulation time in seconds - double dMax = 0.007; // max displacment in meters + double dMax = 0.005; // max displacment in meters int time_step_counter = 0; /** Central Difference Method - Beta and Gamma */ diff --git a/examples/ex9/materials.dat b/examples/ex9/materials.dat index 4d14390d..0c29555e 100644 --- a/examples/ex9/materials.dat +++ b/examples/ex9/materials.dat @@ -1,7 +1,4 @@ -0 8 1040 2.1e9 2 10.1 53.8 -12.9 -120.4 6 0.768587 1e-6 0.1873432 1e-5 0.01489138 1e-4 0.019214683 1e-3 2.4018354e-4 1e-2 7.205506e-3 0.1 - -# 0 7 1040 9.996667e5 2 10.1 53.8 -12.9 -120.4 - +0 6 1040 558.47e6 1.66e3 9.28e2 16.95 # form of file # partID (starting at 0), material ID (goes with consitutive model), ... @@ -14,5 +11,6 @@ # mat ID 4 - HGO Isotropic : density mu lambda k1 k2 # mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 lambda k1 k2 g1 t1 g2 t2 # g1 t1 and g2 t2 are pairs of 2 term Prony series +# mat ID 6 - Visco Elastic : density K mu_0 mu_\infity \beta # mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N # mat ID 8 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M diff --git a/src/fem/AllocateArrays.cpp b/src/fem/AllocateArrays.cpp index c5986adb..d8a02e95 100644 --- a/src/fem/AllocateArrays.cpp +++ b/src/fem/AllocateArrays.cpp @@ -134,9 +134,10 @@ void AllocateArrays() { // Allocations for material temporary computation // By default initialize mat1 and mat2 // If HGO, Linear Elastic or Ogden material model present, allocate mat3 and mat4 + // 4 temp mats for Maxwell-Viscoelastic with 1 term : Material ID 6 int matCount = 2; for (int i = 0; i < nPIDglobal; ++i) { - if (materialID[i] == 3 || materialID[i] == 4 || materialID[i] == 5 || materialID[i] == 7 || materialID[i] == 8) { + if (materialID[i] == 3 || materialID[i] == 4 || materialID[i] == 5 || materialID[i] == 6 || materialID[i] == 7 || materialID[i] == 8) { matCount = 4; break; } diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index de4dcc98..f75cd576 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -41,6 +41,9 @@ void ShapeFunctions() { const int nOgden = properties[MAXMATPARAMS*j+2]; nProny[i] = properties[MAXMATPARAMS*j+2*nOgden+3]; } + if (materialID[j] == 6) { + nProny[i] = 1; + } } bool viscoElastic = false; for (int i = 0; i < nelements; ++i) { diff --git a/src/io/input/ReadMaterials.cpp b/src/io/input/ReadMaterials.cpp index a14bc8f1..ce64168a 100644 --- a/src/io/input/ReadMaterials.cpp +++ b/src/io/input/ReadMaterials.cpp @@ -133,15 +133,17 @@ void ReadMaterials() { // properties[1] = K // properties[2] = G_0 // properties[3] = G_\infity - // properties[4] = \beta + // properties[4] = \beta count = fscanf(File, "%lf %lf %lf %lf %lf", &properties[index + 0], &properties[index + 1], &properties[index + 2], &properties[index + 3], &properties[index + 4]); assert(count == 5); - // FILE_LOG_SINGLE(DEBUGLOG, "Part %d Viscoelastic properties (rho, K, G_0, G_infinity, beta) = " + // FILE_LOG_SINGLE(WARNING, "Part %d Viscoelastic properties (rho, K, G_0, G_infinity, beta) = " // "%3.3f %3.3f %3.3f %3.3f %3.3f\n", // partID, properties[index + 0], properties[index + 1], // properties[index + 2], properties[index + 3], properties[index + 4]); + // Convert \beta to \tau + // properties[index+4] = 1.0/properties[index+4]; break; case 7 :// Ogden model with max N = 3 // properties[0] = density diff --git a/src/materials/HGOIsotropic.cpp b/src/materials/HGOIsotropic.cpp index 159b5ca9..b63994cf 100644 --- a/src/materials/HGOIsotropic.cpp +++ b/src/materials/HGOIsotropic.cpp @@ -46,7 +46,7 @@ void HGOIsotropic(int e, int gp) { // Compute the hydrostatic diagonal contribution to cauchy stress tensor const double hydroDiag = 0.5*K*(J*J-1.0)/J; // Compute the left elastic Cauchy-Green tensor B = F*F^T - double matSize = ndim * ndim; + const unsigned int matSize = ndim * ndim; double *Bmat = mat1; dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, F_element_gp, &ndim, &zero, Bmat, &ndim); diff --git a/src/materials/LinearElastic.cpp b/src/materials/LinearElastic.cpp index 476293ad..cea78713 100644 --- a/src/materials/LinearElastic.cpp +++ b/src/materials/LinearElastic.cpp @@ -23,7 +23,7 @@ void LinearElastic(int e, int gp) { // section 3.2 // Compute strain \epsilon = 0.5*(F+F^T)-I - double matSize = ndim * ndim; + const unsigned int matSize = ndim * ndim; double *eps = mat1; double *F_element_gp = &(F[index]); // trace(\epsilon) = trace(F)-3 diff --git a/src/materials/StVenantKirchhoff.cpp b/src/materials/StVenantKirchhoff.cpp index d21ecbdc..2ddf4101 100644 --- a/src/materials/StVenantKirchhoff.cpp +++ b/src/materials/StVenantKirchhoff.cpp @@ -18,7 +18,7 @@ void StVenantKirchhoff(int e, int gp) { double lambda = properties[MAXMATPARAMS * pide + 2]; // Compute Green-Lagrange Tensor: E= (1/2)*(F^T*F - I) - double matSize = ndim * ndim; + const unsigned int matSize = ndim * ndim; double *E = mat1; double *F_element_gp = &(F[index]); double half = 0.5; @@ -39,6 +39,8 @@ void StVenantKirchhoff(int e, int gp) { S[4] += lambda * traceE; S[8] += lambda * traceE; + FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, S, 3, 3, "Gauss Point : %d, S", gp); + // 6 values saved per gauss point for 3d // in voigt notation, sigma11 pk2[pk2ptr[e] + 6 * gp + 0] = S[0]; diff --git a/src/materials/Viscoelastic.cpp b/src/materials/Viscoelastic.cpp index e9ea8d03..e08208b2 100644 --- a/src/materials/Viscoelastic.cpp +++ b/src/materials/Viscoelastic.cpp @@ -1,69 +1,147 @@ #include "FemTech.h" #include "blas.h" +#include "lapack.h" -#include -// Viscoelastic material -// Evaluates the PK2 stress tensor +#include + +/* Implements the Ogden Model + * Expected material properties : + * \rho = properties(0) + * K = properties(1) + * G_0 = properties(2) + * G_\infity = properties(3) + * \beta = properties(4) + * */ void Viscoelastic(int e, int gp) { if (ndim == 2) { - // 6 values saved per gauss point for 3d - for (int i = 0; i < 3; i++) { - int index = pk2ptr[e] + 3 * gp + i; + FILE_LOG_SINGLE(ERROR, "Plane Strain implementation yet to be done"); + TerminateFemTech(3); + } + // Assumes ndim == 3 + // Pointer to start of deformation gradient matrix for given element number + // and Gauss point + const int index = fptr[e] + ndim * ndim * gp; + double J = detF[detFptr[e] + gp]; + // Get material property ID to read material properties + const int pideIndex = pid[e]*MAXMATPARAMS; + // Get location of array with material properties of the element + const double* localProperties = &(properties[pideIndex]); + // Read material properties + const double K = localProperties[1]; + const double mu0 = localProperties[3]; + const double twomu0 = 2.0*mu0; + const double gamma = (localProperties[2]/mu0-1); // TODO : Precompute + const double beta = localProperties[4]; + // const double lambda = K - 2.0*mu0/3.0; + + // Compute Green-Lagrange Tensor: eps = (1/2)*(F^T + F) - I + const unsigned int matSize = ndim * ndim; + // Use temp storage 1 for storing eps matrix + double *eps = mat1; + // Get element F matrix + double *F_element_gp = &(F[index]); + for (int i = 0; i < ndim; ++i) { + for (int j = 0; j < ndim; ++j) { + const int indexL = j + i*ndim; + eps[indexL] = 0.5*(F_element_gp[indexL]+F_element_gp[i+j*ndim]); } } - if (ndim == 3) { - const int index = fptr[e] + ndim * ndim * gp; - const int pide = pid[e]; - const double K = properties[MAXMATPARAMS * pide + 1]; - const double G0 = properties[MAXMATPARAMS * pide + 2]; - const double Ginf = properties[MAXMATPARAMS * pide + 3]; - const double beta = properties[MAXMATPARAMS * pide + 4]; + eps[0] -= 1.0; + eps[4] -= 1.0; + eps[8] -= 1.0; - const double mu = Ginf + (G0-Ginf)*exp(-beta*Time); - const double lambda = K - 2.0*mu/3.0; + // Compute trace of eps matrix + const double traceEps = eps[0]+eps[4]+eps[8]; + // Precompute 2*mu0*tr(eps)/3.0 + const double const_1 = 2.0*mu0*traceEps/3.0; + // Precompute K*tr(eps) + const double const_2 = K*traceEps; - // Compute Green-Lagrange Tensor: E= (1/2)*(F^T*F - I) - double matSize = ndim * ndim; - double *E = mat1; - double *F_element_gp = &(F[index]); - double half = 0.5; - dgemm_(chy, chn, &ndim, &ndim, &ndim, &half, F_element_gp, &ndim, - F_element_gp, &ndim, &zero, E, &ndim); - E[0] -= half; - E[4] -= half; - E[8] -= half; + // Compute Cauchy Stress + // sigma = lambda*tr(eps)*I+2*mu0*eps + // Deviatoric part sigmaDev = 2*mu0*(eps-tr(eps)*I/3) + // Isochoric part sigmaIso = K*tr(eps)*I + // sigma = sigmaDev + sigmaIso + // Use temp storage 2 for storing sigmadev matrix + double *sigmaDev = mat2; + for (int i = 0; i < matSize; ++i) { + sigmaDev[i] = twomu0 * eps[i]; + } + sigmaDev[0] -= const_1; + sigmaDev[4] -= const_1; + sigmaDev[8] -= const_1; - // Compute 2nd Piola-Kirchhoff Stress - // S = lambda*tr(E)*I+2*mu*E - double traceE = E[0] + E[4] + E[8]; - double *S = mat2; - for (int i = 0; i < matSize; ++i) { - S[i] = 2.0 * mu * E[i]; - } - S[0] += lambda * traceE; - S[4] += lambda * traceE; - S[8] += lambda * traceE; + // Reuse temp storage 1 for storing S matrix + double *sigma = mat1; + for (int i = 0; i < matSize; ++i) { + sigma[i] = sigmaDev[i]; + } + sigma[0] += const_2; + sigma[4] += const_2; + sigma[8] += const_2; - // 6 values saved per gauss point for 3d - // in voigt notation, sigma11 - pk2[pk2ptr[e] + 6 * gp + 0] = S[0]; - // in voigt notation, sigma22 - pk2[pk2ptr[e] + 6 * gp + 1] = S[4]; - // in voigt notation, sigma33 - pk2[pk2ptr[e] + 6 * gp + 2] = S[8]; - // in voigt notation, sigma23 - pk2[pk2ptr[e] + 6 * gp + 3] = S[7]; - // in voigt notation, sigma13 - pk2[pk2ptr[e] + 6 * gp + 4] = S[6]; - // in voigt notation, sigma12 - pk2[pk2ptr[e] + 6 * gp + 5] = S[3]; + // Access histroy dependence + // Restore previous time step Deviatoric part of sigma + double *elemS = S0n[e]; + double *S0nLocal = &(elemS[gp*matSize]); + double *elemH = Hn[e]; + double *HnLocal = &(elemH[gp*matSize]); + // Compute C1i = exp(-dt/t_i) and C2i = g_i (1-exp(-dt/t_i))/(dt/t_i) + const double rt = dt*beta; + const double c1 = exp(-rt); + double c2; + if (fabs(c1-1) < 1e-12) { + c2 = 0.0; + } else { + c2 = gamma*(1-c1)/rt; + } + // Update H^{n+1} = c1*H_j^n + c2*[Dev S_0^{n+1} - Dev S_0^n] + // Update sigma^{n+1} = sigma_0^{n+1} + H^{n+1} + for (int j = 0; j < matSize; ++j) { + // Along with computation, previous value of H is also updated in this + // step + HnLocal[j] = c1*HnLocal[j]+c2*(sigmaDev[j]-S0nLocal[j]); + sigma[j] = sigma[j] + HnLocal[j]; + } + // FILE_LOGMatrix_SINGLE(WARNING, HnLocal, 3, 3, "Gauss Point : %d, Hn", gp); + FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, sigma, 3, 3, "Gauss Point : %d, sigma", gp); + // FILE_LOGMatrix(WARNING, sigma, ndim, ndim, "sigma Visco mat\n"); + + // Compute pk2 : S = F^{-1} sigma + double *fInv = mat3; + double *S = mat4; + InverseF(e, gp, fInv); + // Compute F^{-1}*sigma + dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, + sigma, &ndim, &zero, S, &ndim); + + // Get location of array to store PK2 values + double * pk2Local = &(pk2[pk2ptr[e]+6*gp]); + // 6 values saved per gauss point for 3d + // in voigt notation, sigma11 + pk2Local[0] = S[0]; + // in voigt notation, sigma22 + pk2Local[1] = S[4]; + // in voigt notation, sigma33 + pk2Local[2] = S[8]; + // in voigt notation, sigma23 + pk2Local[3] = S[7]; + // in voigt notation, sigma13 + pk2Local[4] = S[6]; + // in voigt notation, sigma12 + pk2Local[5] = S[3]; - FILE_LOGArraySingle(DEBUGLOGIGNORE, &(pk2[pk2ptr[e]+6*gp]), 6, \ - "Element : %d, GP : %d Stress values", e, gp); - FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, F_element_gp, ndim, ndim, "Printing F Matrix"); - FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, E, ndim, ndim, "Printing E Matrix"); - FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, S, ndim, ndim, "Printing S Matrix"); - } // if ndim == 3 - return; + // Update deviatoric part of S_0 for next time step + for (int i = 0; i < matSize; ++i) { + S0nLocal[i] = sigmaDev[i]; + } + +#ifdef DEBUG + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); + for(int i=0;i<6;i++){ + int indexD = pk2ptr[e]+6*gp+i; + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "PK2[%d] = %10.6e", indexD, pk2[indexD]); + } +#endif //DEBUG } diff --git a/src/timestep/CalculateTimeStep.cpp b/src/timestep/CalculateTimeStep.cpp index a76be4a8..cbe4f492 100644 --- a/src/timestep/CalculateTimeStep.cpp +++ b/src/timestep/CalculateTimeStep.cpp @@ -10,9 +10,27 @@ double CalculateTimeStep(int e) { double le = CalculateCharacteristicLength(e); //wave speed of material int pide = pid[e]; - double mu = properties[MAXMATPARAMS * pide + 1]; - double lambda = properties[MAXMATPARAMS * pide + 2]; double rho = properties[MAXMATPARAMS * pide + 0]; + double mu, lambda; + unsigned int matID = materialID[pide]; + // TODO precompute material wave speed and store for all moterial types used + // in the simulation. + if (matID == 6) { // Viscoelastic + mu = properties[MAXMATPARAMS * pide + 2]; + double K = properties[MAXMATPARAMS * pide + 1]; + lambda = K + 2.0*mu/3.0; + } else { + if (matID == 7 || matID == 8) { // Ogden model + // TODO : mu_1 used, not ideal. + mu = properties[MAXMATPARAMS * pide + 4]; + double K = properties[MAXMATPARAMS * pide + 1]; + lambda = mu + 2.0*K/3.0; + } else { + mu = properties[MAXMATPARAMS * pide + 1]; + lambda = properties[MAXMATPARAMS * pide + 2]; + } + } + FILE_LOG_SINGLE(DEBUGLOG, "Element %d, pid %d, Mu = %f, Lambda = %f", e, pide, mu, lambda); double nu = 0.5*lambda/(lambda+mu); // ce calculated using dilatatoin wave speed double ce = sqrt(lambda*(1.0/nu-1.0)/rho); From 1eb9b9a4c0d126076445aceb61fc5065de4a4fb5 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 18 Jan 2021 20:59:17 +0530 Subject: [PATCH 033/106] uid named as event_id in input json --- examples/ex18/input_C288-T3_Hardyetal2007.json | 2 +- examples/ex18/input_case9218Jietal2015.json | 2 +- examples/ex18/postProcess.py | 2 +- examples/ex5/addGraph.py | 2 +- examples/ex5/input.json | 2 +- examples/ex5/input_test_p1.json | 2 +- examples/ex5/input_test_pt.json | 2 +- examples/ex5/input_test_s.json | 2 +- examples/ex5/input_test_st.json | 2 +- examples/ex5/input_test_x.json | 2 +- examples/ex5/mps95Movie.py | 2 +- examples/ex5/test_ex5.sh | 2 +- examples/ex5/updateOutputJson.py | 2 +- src/io/InitFinalizeFemTech.cpp | 4 ++-- 14 files changed, 15 insertions(+), 15 deletions(-) diff --git a/examples/ex18/input_C288-T3_Hardyetal2007.json b/examples/ex18/input_C288-T3_Hardyetal2007.json index 2a877111..93bd6854 100644 --- a/examples/ex18/input_C288-T3_Hardyetal2007.json +++ b/examples/ex18/input_C288-T3_Hardyetal2007.json @@ -1,5 +1,5 @@ { - "uid": "C288_T3", + "event_id": "C288_T3", "player": { "name" : "harry", "position" : "OL" diff --git a/examples/ex18/input_case9218Jietal2015.json b/examples/ex18/input_case9218Jietal2015.json index 0442903d..979fa660 100644 --- a/examples/ex18/input_case9218Jietal2015.json +++ b/examples/ex18/input_case9218Jietal2015.json @@ -1,5 +1,5 @@ { - "uid": "case9218", + "event_id": "case9218", "player": { "name" : "harry", "position" : "OL" diff --git a/examples/ex18/postProcess.py b/examples/ex18/postProcess.py index 68969916..88af44e6 100644 --- a/examples/ex18/postProcess.py +++ b/examples/ex18/postProcess.py @@ -16,7 +16,7 @@ # Remove comments in json string before parsing config = json.loads(re.sub("//.*","", open(fileName).read(),flags=re.MULTILINE)) -uid = config["uid"] +uid = config["event_id"] # Read the main output file trace = pd.read_csv('./plot_'+uid+'.dat', delimiter=' ') logFile = './femtech_'+uid+'.log' diff --git a/examples/ex5/addGraph.py b/examples/ex5/addGraph.py index 931ad945..464b6eb1 100644 --- a/examples/ex5/addGraph.py +++ b/examples/ex5/addGraph.py @@ -9,7 +9,7 @@ jsonFile = sys.argv[1] inputJson = json.loads(open(jsonFile).read()) -uid = inputJson["uid"] +uid = inputJson["event_id"] simulationJson = inputJson["simulation"] meshFile = simulationJson["mesh"] mesh = os.path.splitext(meshFile)[0] diff --git a/examples/ex5/input.json b/examples/ex5/input.json index 22a338fd..de1b74b0 100644 --- a/examples/ex5/input.json +++ b/examples/ex5/input.json @@ -1,5 +1,5 @@ { - "uid": "harry_s0JiuaYff", + "event_id": "harry_s0JiuaYff", "player": { "name" : "harry", "position" : "OL" diff --git a/examples/ex5/input_test_p1.json b/examples/ex5/input_test_p1.json index 144fcf8d..5d50f5c9 100644 --- a/examples/ex5/input_test_p1.json +++ b/examples/ex5/input_test_p1.json @@ -1,5 +1,5 @@ { - "uid": "test_p1", + "event_id": "test_p1", "player": { "name" : "harry", "position" : "OL" diff --git a/examples/ex5/input_test_pt.json b/examples/ex5/input_test_pt.json index 6b3c9d9a..9b57045a 100644 --- a/examples/ex5/input_test_pt.json +++ b/examples/ex5/input_test_pt.json @@ -1,5 +1,5 @@ { - "uid": "test_pt", + "event_id": "test_pt", "player": { "name" : "harry", "position" : "OL" diff --git a/examples/ex5/input_test_s.json b/examples/ex5/input_test_s.json index 3662762b..7b5657dc 100644 --- a/examples/ex5/input_test_s.json +++ b/examples/ex5/input_test_s.json @@ -1,5 +1,5 @@ { - "uid": "test_s", + "event_id": "test_s", "player": { "name" : "harry", "position" : "OL" diff --git a/examples/ex5/input_test_st.json b/examples/ex5/input_test_st.json index 86a1b81f..c59e9019 100644 --- a/examples/ex5/input_test_st.json +++ b/examples/ex5/input_test_st.json @@ -1,5 +1,5 @@ { - "uid": "test_st", + "event_id": "test_st", "player": { "name" : "harry", "position" : "OL" diff --git a/examples/ex5/input_test_x.json b/examples/ex5/input_test_x.json index e8ad5327..5a2487cf 100644 --- a/examples/ex5/input_test_x.json +++ b/examples/ex5/input_test_x.json @@ -1,5 +1,5 @@ { - "uid": "test_x", + "event_id": "test_x", "player": { "name" : "harry", "position" : "OL" diff --git a/examples/ex5/mps95Movie.py b/examples/ex5/mps95Movie.py index 7e6f12db..d4ff1758 100644 --- a/examples/ex5/mps95Movie.py +++ b/examples/ex5/mps95Movie.py @@ -12,7 +12,7 @@ jsonFile = sys.argv[1] inputJson = json.loads(open(jsonFile).read()) -uid = inputJson["uid"] +uid = inputJson["event_id"] simulationJson = inputJson["simulation"] meshFile = simulationJson["mesh"] mesh = os.path.splitext(meshFile)[0] diff --git a/examples/ex5/test_ex5.sh b/examples/ex5/test_ex5.sh index de5f7a42..9b7d98df 100755 --- a/examples/ex5/test_ex5.sh +++ b/examples/ex5/test_ex5.sh @@ -20,7 +20,7 @@ for name in "${testInputFiles[@]}" do input_filename="input_test_${name}.json" echo "Input file name : ${input_filename}" - uid=`cat ${input_filename}|jq -r .'["uid"]'` + uid=`cat ${input_filename}|jq -r .'["event_id"]'` output_filename="${uid}_output.json" eval expectedVal=( \${value_$name[@]} ) # Delete output file if it exists diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index d8a396f4..babbd9f4 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -8,7 +8,7 @@ # Code assumes maximum-time is set to the last value of the time array jsonInputFile = sys.argv[1] inputJson = json.loads(open(jsonInputFile).read()) -uid = inputJson["uid"] +uid = inputJson["event_id"] jsonOutputFile = uid + '_output.json' linearAcc = inputJson['simulation']['linear-acceleration'] angularAcc = inputJson['simulation']['angular-acceleration'] diff --git a/src/io/InitFinalizeFemTech.cpp b/src/io/InitFinalizeFemTech.cpp index 2717e3c0..a93af2a0 100644 --- a/src/io/InitFinalizeFemTech.cpp +++ b/src/io/InitFinalizeFemTech.cpp @@ -28,14 +28,14 @@ Json::Value InitFemTech(int argc, char **argv) { Json::Value inputJson = getConfig(argv[1]); // create simulation unique id from time // Check if UID is present in input JSON - if (inputJson["uid"].empty()) { + if (inputJson["event_id"].empty()) { time_t t = time(0); // get time now struct tm * now = localtime( & t ); char buffer [80]; strftime(buffer, 80, "%d_%m_%Y_%H_%M_%S", now); uid = buffer; } else { - uid = inputJson["uid"].asString(); + uid = inputJson["event_id"].asString(); } std::string logFile = "femtech_"+uid+".log"; From 9b246f847393884b45f82e46ae39b96ebbcfb697 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 5 Feb 2021 21:44:54 +0530 Subject: [PATCH 034/106] Made changes to code for updated Lagrangian formulation Validation failed. --- examples/ex5/updateOutputJson.py | 5 ++ include/FemTech.h | 5 ++ include/GlobalVariables.h | 7 +++ src/elements/CMakeLists.txt | 2 + .../CalculateF_XiAndInverse.cpp | 37 ++++++++++++ src/elements/ElementCalculations/ComputeH.cpp | 25 +++++++++ src/fem/AllocateArrays.cpp | 10 ++++ src/fem/CMakeLists.txt | 1 + src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp | 11 ++-- src/fem/ShapeFunctions/ShapeFunctions.cpp | 5 ++ src/fem/SolidMechanics/GetForce_3D.cpp | 21 ++++--- .../SolidMechanics/InternalForceUpdateUL.cpp | 33 +++++++++++ src/io/output/FreeArrays.cpp | 5 ++ src/materials/LinearElastic.cpp | 56 ++++++++----------- 14 files changed, 177 insertions(+), 46 deletions(-) create mode 100644 src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp create mode 100644 src/elements/ElementCalculations/ComputeH.cpp create mode 100644 src/fem/SolidMechanics/InternalForceUpdateUL.cpp diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index babbd9f4..43d9623c 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -158,6 +158,11 @@ outputJson['plot']['element-stress-'+str(n)]['principal'] = xVal.tolist(); outputJson['plot']['element-stress-'+str(n)]['shear'] = yVal.tolist(); +if 'impact-time' in inputJson: + outputJson['impact-time'] = inputJson['impact-time'] +if 'impact-date' in inputJson: + outputJson['impact-date'] = inputJson['impact-date'] + # print(outputJson) # jstr = json.dumps(outputJson, indent = 2, sort_keys=False) # print(jstr) diff --git a/include/FemTech.h b/include/FemTech.h index aff7bf2d..9aeae639 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -133,4 +133,9 @@ Json::Value InitFemTech(int argc, char **argv); void InitFemTechWoInput(int argc, char **argv); void FinalizeFemTech(); void TerminateFemTech(int errorCode); + +/* Functions for updated Lagrangian formulation */ +void CalculateF_XiAndInverse(int e, int gp); +void ComputeH(int e, int gp, double *H); +void InternalForceUpdateUL(int e, int gp, double *force); #endif diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index 028f3db8..3fd59818 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -27,6 +27,8 @@ extern int nPID, nPIDglobal; /* Local and global number of unique parts*/ extern int world_rank; extern int world_size; +extern int ndim2; // To store ndim*ndim, a widely used constant + extern double ExplicitTimeStepReduction; extern double FailureTimeStep; @@ -127,3 +129,8 @@ extern double *B; extern double **Hn; extern double **S0n; extern int *nProny; + +// Variables required for updated Lagrangian formulation +extern double *F_Xi, *F_XiInverse, J_Xi; +extern double *sigma_n; // To store stress in Voigot notation for updated Lagrangian +extern double *B0; // Store dN_I/dX_j. Used for H computation diff --git a/src/elements/CMakeLists.txt b/src/elements/CMakeLists.txt index e741312b..0b0b5c40 100644 --- a/src/elements/CMakeLists.txt +++ b/src/elements/CMakeLists.txt @@ -1,6 +1,8 @@ Set(elements_src Elements.cpp ElementCalculations/CalculateDeformationGradient.cpp + ElementCalculations/CalculateF_XiAndInverse.cpp + ElementCalculations/ComputeH.cpp ElementCalculations/StrainDisplacementMatrix.cpp CharacteristicLength/CalculateCharacteristicLength.cpp CharacteristicLength/CalculateCharacteristicLength_C3D4.cpp diff --git a/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp b/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp new file mode 100644 index 00000000..c43a923b --- /dev/null +++ b/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp @@ -0,0 +1,37 @@ +#include "FemTech.h" +#include "blas.h" + +// Function to compute F_Xi and its inverse along with the determinant +// The function is used for updated Lagrangian internal force computation +// x_i = x_iI N_I(Xi_i), dx_i/dXi_i = x_iI dN_I/dXi_i +// Assumes dshp stores dN_I/dXi_i + +void CalculateF_XiAndInverse(int e, int gp) { + // if ((eptr[e + 1] - eptr[e]) != nShapeFunctions[e]) { + // FILE_LOG_SINGLE(WARNING, "CalculateDeformationGradient.cpp: (eptr[e+1]-eptr[e]) " + // "!= nShapeFunctions[e])\nCheck it out, probally a bug in allocation"); + // } + const unsigned int start = eptr[e]; + const unsigned int nShapeFunc = eptr[e+1]-start; + // const unsigned int nShapeFunc = nShapeFunctions[e]; + const unsigned int indexStart = dsptr[e] + gp * GaussPoints[e] * ndim; + for (unsigned int i = 0; i < ndim; i++) { + for (unsigned int j = 0; j < ndim; j++) { + double F_Xi_ij = 0.0; + for (unsigned int I = 0; I < nShapeFunc; ++I) { + const unsigned int dispIndex = ndim*connectivity[start + I] + i; + const unsigned int indexShp = indexStart + I * ndim + j; + F_Xi_ij = F_Xi_ij + (coordinates[dispIndex]+displacements[dispIndex])*dshp[indexShp]; + } // loop on I + // Store in column major format + F_Xi[i+j*ndim] = F_Xi_ij; + } + } + + FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, F_Xi, ndim, \ + ndim, "--------F_Xi for gauss point %d --------", gp); + + // Compute the matrix inverse + inverse3x3Matrix(F_Xi, F_XiInverse, &J_Xi); + return; +} diff --git a/src/elements/ElementCalculations/ComputeH.cpp b/src/elements/ElementCalculations/ComputeH.cpp new file mode 100644 index 00000000..b3acfc7b --- /dev/null +++ b/src/elements/ElementCalculations/ComputeH.cpp @@ -0,0 +1,25 @@ +#include "FemTech.h" +#include "blas.h" + +// Function to compute H matrix. H is used to accurately compute F and E +// matrices in updated Lagrangian Formulation +// H_ij = dN_I/dX_j u_iI + +void ComputeH(int e, int gp, double *H) { + const unsigned int start = eptr[e]; + const unsigned int nShapeFunc = eptr[e+1]-start; + // const unsigned int nShapeFunc = nShapeFunctions[e]; + const unsigned int indexStart = dsptr[e] + gp * GaussPoints[e] * ndim; + for (unsigned int i = 0; i < ndim; ++i) { + for (unsigned int j = 0; j < ndim; ++j) { + double Hij = 0.0; + for (unsigned int I = 0; I < nShapeFunc; ++I) { + const unsigned int dispIndex = connectivity[start+I]*ndim + i; + const unsigned int indexShp = indexStart + I * ndim + j; + Hij = Hij + B0[indexShp]*displacements[dispIndex]; + } + // Store Hij in column major format + H[i+j*ndim] = Hij; + } + } +} diff --git a/src/fem/AllocateArrays.cpp b/src/fem/AllocateArrays.cpp index c5986adb..a5246f92 100644 --- a/src/fem/AllocateArrays.cpp +++ b/src/fem/AllocateArrays.cpp @@ -26,6 +26,10 @@ double *mat1, *mat2, *mat3, *mat4; int *boundary; FILE *energyFile; +int ndim2; +double *F_Xi, *F_XiInverse, J_Xi; +double *sigma_n; + void AllocateArrays() { // Allocate and initialize global displacements displacements=(double*)calloc(nDOF,sizeof(double)); @@ -149,5 +153,11 @@ void AllocateArrays() { mat4 = (double*)malloc(matSize*sizeof(double)); } } + /* Precompute and store constantly used sub expressions */ + ndim2 = ndim*ndim; + /* Store variables required for updated lagrangian computation */ + F_Xi = (double*)malloc(ndim2*sizeof(double)); + F_XiInverse = (double*)malloc(ndim2*sizeof(double)); + sigma_n = (double*)malloc((ndim*(ndim+1)/2)*sizeof(double)); return; } diff --git a/src/fem/CMakeLists.txt b/src/fem/CMakeLists.txt index 970f1df5..733ad42e 100644 --- a/src/fem/CMakeLists.txt +++ b/src/fem/CMakeLists.txt @@ -18,6 +18,7 @@ Set(fem_src SolidMechanics/CalculateFR.cpp SolidMechanics/StressUpdate.cpp SolidMechanics/InternalForceUpdate.cpp + SolidMechanics/InternalForceUpdateUL.cpp SolidMechanics/TrussStressForceUpdate.cpp SolidMechanics/CheckEnergy.cpp ) diff --git a/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp b/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp index 60f6a7d7..7fa5b88b 100644 --- a/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp +++ b/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp @@ -73,7 +73,7 @@ void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ // I don't like it. // The redeclaration needs to find memory and will cut down // on speed. - double xs[ndim*ndim]; + double xs[ndim2]; int index = eptr[e]; for (int j = 0; j < ndim; j++) { xs[0+j*ndim] = (coordinates[ndim*connectivity[index+1] + j] - coordinates[ndim*connectivity[index+0] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 1 + 0] @@ -98,6 +98,7 @@ void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ detJ[gp] = det; // Transform derivatives to global co-ordinates + // And store in B0 for updated Lagrangian formulation double c1, c2, c3; int baseIndex; @@ -114,12 +115,12 @@ void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Shape fn : %d, %12.6f, %12.6f, %12.6f", i, \ dshp[baseIndex], dshp[baseIndex+1], dshp[baseIndex+2]); - dshp[baseIndex] = c1; - dshp[baseIndex+1] = c2; - dshp[baseIndex+2] = c3; + B0[baseIndex] = c1; + B0[baseIndex+1] = c2; + B0[baseIndex+2] = c3; FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Shape fn Global : %d, %12.6f, %12.6f, %12.6f", \ - i, dshp[baseIndex], dshp[baseIndex+1], dshp[baseIndex+2]); + i, B0[baseIndex], B0[baseIndex+1], B0[baseIndex+2]); } FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, xs, ndim, ndim, "---- XS Matrix ----") diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index de4dcc98..46012db8 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -29,6 +29,7 @@ double *fintGQ; double *B; double **Hn, **S0n; int *nProny; // To store number of terms in viscous Prony Series +double *B0; void ShapeFunctions() { nProny = (int *)calloc(nelements, sizeof(int)); @@ -265,6 +266,10 @@ void ShapeFunctions() { /* size of PK2 stress is 6 values for each gauss point the PK2 stress is symmetric */ pk2 = (double *)calloc(pk2_counter, sizeof(double)); + dshp = (double *)calloc(dshp_counter, sizeof(double)); + // B0 : Store derivative of shape functions with respect to initial material + // coordinates + B0 = (double *)calloc(dshp_counter, sizeof(double)); // Depending on element type call correct shape function library for (int i = 0; i < nelements; i++) { diff --git a/src/fem/SolidMechanics/GetForce_3D.cpp b/src/fem/SolidMechanics/GetForce_3D.cpp index 5e4f642e..f013b38d 100644 --- a/src/fem/SolidMechanics/GetForce_3D.cpp +++ b/src/fem/SolidMechanics/GetForce_3D.cpp @@ -25,14 +25,21 @@ void GetForce_3D() { TrussStressForceUpdate(i,j,fintLocal); //CalculateDeformationGradient(i, j); // TerminateFemTech(1); - }else{ - // calculate F^n - CalculateDeformationGradient(i, j); - // Calculate Determinant of F - DeterminateF(i, j); - // Calculate sigma^n + } else { + // // calculate F^n + // CalculateDeformationGradient(i, j); + // // Calculate Determinant of F + // DeterminateF(i, j); + // // Calculate sigma^n + // StressUpdate(i, j); + // InternalForceUpdate(i, j, fintLocal); + + /* Updated Lagrangian approach */ + // Calculate F_Xi^n + CalculateF_XiAndInverse(i, j); + // Calculate sigma^n StressUpdate(i, j); - InternalForceUpdate(i, j, fintLocal); + InternalForceUpdateUL(i, j, fintLocal); } // else } //loop on gauss points // Move Local internal for to global force diff --git a/src/fem/SolidMechanics/InternalForceUpdateUL.cpp b/src/fem/SolidMechanics/InternalForceUpdateUL.cpp new file mode 100644 index 00000000..cee57e2f --- /dev/null +++ b/src/fem/SolidMechanics/InternalForceUpdateUL.cpp @@ -0,0 +1,33 @@ +#include "FemTech.h" +#include "blas.h" + +void InternalForceUpdateUL(int e, int gp, double *force) { + const unsigned int start = eptr[e]; + const unsigned int nShapeFunc = eptr[e+1]-start; + // const unsigned int nShapeFunc = nShapeFunctions[e]; + const unsigned int indexStart = dsptr[e] + gp * GaussPoints[e] * ndim; + + const unsigned int wIndex = gpPtr[e]+gp; + const double preFactor = gaussWeights[wIndex]*J_Xi; + + for (unsigned int I = 0; I < nShapeFunc; ++I) { + const unsigned int indexShp = indexStart + I * ndim; + // Compute dN_I/dx_j = (dN_I/d_Xi)^T F_Xi^-{-1} + const double dN_Ibydx = dshp[indexShp]*F_XiInverse[0] + + dshp[indexShp+1]*F_XiInverse[1] + dshp[indexShp+2]*F_XiInverse[2]; + const double dN_Ibydy = dshp[indexShp]*F_XiInverse[3] + + dshp[indexShp+1]*F_XiInverse[4] + dshp[indexShp +2]*F_XiInverse[5]; + const double dN_Ibydz = dshp[indexShp]*F_XiInverse[6] + + dshp[indexShp+1]*F_XiInverse[7] + dshp[indexShp +2]*F_XiInverse[8]; + // Compute f_iI = dN_I/dx_j*sigma_{ji} + const double fxI = dN_Ibydx*sigma_n[0]+dN_Ibydy*sigma_n[5]+dN_Ibydz*sigma_n[4]; + const double fyI = dN_Ibydx*sigma_n[5]+dN_Ibydy*sigma_n[1]+dN_Ibydz*sigma_n[3]; + const double fzI = dN_Ibydx*sigma_n[4]+dN_Ibydy*sigma_n[3]+dN_Ibydz*sigma_n[2]; + const unsigned int forceIndex = I*ndim; + // Add to fint + force[forceIndex] += preFactor*fxI; + force[forceIndex+1] += preFactor*fyI; + force[forceIndex+2] += preFactor*fzI; + } + return; +} diff --git a/src/io/output/FreeArrays.cpp b/src/io/output/FreeArrays.cpp index cd2a7de4..aaec1804 100644 --- a/src/io/output/FreeArrays.cpp +++ b/src/io/output/FreeArrays.cpp @@ -86,4 +86,9 @@ void FreeArrays() { if (world_rank == 0) { fclose(energyFile); } + // Free arrays used by Updated Lagrangian Formulation + free1DArray(F_Xi); + free1DArray(F_XiInverse); + free1DArray(sigma_n); + free1DArray(B0); } diff --git a/src/materials/LinearElastic.cpp b/src/materials/LinearElastic.cpp index 476293ad..3b29c3e6 100644 --- a/src/materials/LinearElastic.cpp +++ b/src/materials/LinearElastic.cpp @@ -12,61 +12,49 @@ void LinearElastic(int e, int gp) { } } if(ndim == 3){ - int index = fptr[e] + ndim * ndim * gp; - int index2 = detFptr[e] + gp; int pide = pid[e]; double mu = properties[MAXMATPARAMS * pide + 1]; double lambda = properties[MAXMATPARAMS * pide + 2]; - double J = detF[index2]; // Computation based on // http://run.usc.edu/femdefo/sifakis-courseNotes-TheoryAndDiscretization.pdf // section 3.2 + // Compute H matrix of the element from B^0 Matrix + // Reuse mat1 for H computation + double *H = mat1; + ComputeH(e, gp, H); + // Compute strain \epsilon = 0.5*(F+F^T)-I - double matSize = ndim * ndim; - double *eps = mat1; - double *F_element_gp = &(F[index]); - // trace(\epsilon) = trace(F)-3 - const double trEps = F_element_gp[0]+F_element_gp[4]+F_element_gp[8]-3.0; + // This can be written as \epsilon = 0.5*(H+H^T) + double *sigma_e = mat2; // Reuse mat2 for epsilon computation + // trace(\epsilon) = trace(F)-3 = trace(H) + const double trEpsLambda = lambda*(H[0]+H[4]+H[8]); + // \sigma = \lambda tr(\epsilon) I + 2 \mu \epsilon + // \sigma = \lambda tr(H) I + \mu (H+H^T) + // Compute 2*\mu*\epsilon for (int i = 0; i < ndim; ++i) { for (int j = 0; j < ndim; ++j) { const int indexL = j + i*ndim; - eps[indexL] = (F_element_gp[indexL]+F_element_gp[i+j*ndim]); + sigma_e[indexL] = mu*(H[indexL]+H[i+j*ndim]); } } - eps[0] -= 2.0; - eps[4] -= 2.0; - eps[8] -= 2.0; - - // Compute sigma = \lambda tr(\eps) I + 2 \mu \eps - double *P = mat2; - for (int i = 0; i < matSize; ++i) { - P[i] = mu * eps[i]; - } - P[0] += lambda * trEps; - P[4] += lambda * trEps; - P[8] += lambda * trEps; + sigma_e[0] = sigma_e[0] + trEpsLambda; + sigma_e[4] = sigma_e[0] + trEpsLambda; + sigma_e[8] = sigma_e[0] + trEpsLambda; - // Compute pk2 : S = F^{-1} P - double *fInv = mat3; - double *S = mat4; - InverseF(e, gp, fInv); - // Compute F^{-1}*P - dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, - P, &ndim, &zero, S, &ndim); // 6 values saved per gauss point for 3d // in voigt notation, sigma11 - pk2[pk2ptr[e] + 6 * gp + 0] = S[0]; + sigma_n[0] = sigma_e[0]; // in voigt notation, sigma22 - pk2[pk2ptr[e] + 6 * gp + 1] = S[4]; + sigma_n[1] = sigma_e[4]; // in voigt notation, sigma33 - pk2[pk2ptr[e] + 6 * gp + 2] = S[8]; + sigma_n[2] = sigma_e[8]; // in voigt notation, sigma23 - pk2[pk2ptr[e] + 6 * gp + 3] = S[7]; + sigma_n[3] = sigma_e[7]; // in voigt notation, sigma13 - pk2[pk2ptr[e] + 6 * gp + 4] = S[6]; + sigma_n[4] = sigma_e[6]; // in voigt notation, sigma12 - pk2[pk2ptr[e] + 6 * gp + 5] = S[3]; + sigma_n[5] = sigma_e[3]; } return; } From c66cedf71421bf29f884656529a4f41bfb19242b Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 6 Feb 2021 17:57:13 +0530 Subject: [PATCH 035/106] Working linear elasticity with UL --- include/GlobalVariables.h | 2 ++ .../CalculateDeformationGradient.cpp | 2 +- .../CalculateF_XiAndInverse.cpp | 23 ++++++++++++++++++- src/elements/ElementCalculations/ComputeH.cpp | 14 +++++++++++ src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp | 6 +++++ src/fem/ShapeFunctions/ShapeFunctions.cpp | 3 +++ .../SolidMechanics/InternalForceUpdateUL.cpp | 10 ++++---- src/io/output/FreeArrays.cpp | 2 ++ src/materials/LinearElastic.cpp | 6 ++--- 9 files changed, 58 insertions(+), 10 deletions(-) diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index 3fd59818..f959a7cb 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -134,3 +134,5 @@ extern int *nProny; extern double *F_Xi, *F_XiInverse, J_Xi; extern double *sigma_n; // To store stress in Voigot notation for updated Lagrangian extern double *B0; // Store dN_I/dX_j. Used for H computation +// Temperory variables to test updated lagrangian +// extern double *F_Xi_0; diff --git a/src/elements/ElementCalculations/CalculateDeformationGradient.cpp b/src/elements/ElementCalculations/CalculateDeformationGradient.cpp index aff4c732..5d2253a0 100644 --- a/src/elements/ElementCalculations/CalculateDeformationGradient.cpp +++ b/src/elements/ElementCalculations/CalculateDeformationGradient.cpp @@ -18,7 +18,7 @@ void CalculateDeformationGradient(int e, int gp) { int index2 = dsptr[e] + gp * GaussPoints[e] * ndim + k * ndim + j; theSum = theSum + (coordinates[ndim * node_a + i] + displacements[ndim * node_a + i]) * - dshp[index2]; + B0[index2]; } // loop on k F[index] = theSum; } diff --git a/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp b/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp index c43a923b..836dd068 100644 --- a/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp +++ b/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp @@ -30,8 +30,29 @@ void CalculateF_XiAndInverse(int e, int gp) { FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, F_Xi, ndim, \ ndim, "--------F_Xi for gauss point %d --------", gp); - + // double *FTest = (double*)malloc(ndim2*sizeof(double)); + // const int indexT = fptr[e] + ndim * ndim * gp; + // double *F_element_gp = &(F[indexT]); + // double *F_Xi_0_egp = &(F_Xi_0[indexT]); + // dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, + // F_Xi_0_egp, &ndim, &zero, FTest, &ndim); + // for (unsigned int i = 0; i < ndim2; ++i) { + // FTest[i] -= F_Xi[i]; + // } + // FILE_LOGMatrix_SINGLE(WARNING, FTest, ndim, \ + // ndim, "--------F_Test for gauss point %d --------", gp); + // FILE_LOGMatrix_SINGLE(WARNING, F_element_gp, ndim, \ + // ndim, "--------F for gauss point %d --------", gp); + // FILE_LOGMatrix_SINGLE(WARNING, F_Xi_0_egp, ndim, \ + // ndim, "--------F_Xi_0 for gauss point %d --------", gp); + // FILE_LOGMatrix_SINGLE(WARNING, F_Xi, ndim, \ + // ndim, "--------F_Xi for gauss point %d --------", gp); // Compute the matrix inverse inverse3x3Matrix(F_Xi, F_XiInverse, &J_Xi); + // dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, F_Xi, &ndim, + // F_XiInverse, &ndim, &zero, FTest, &ndim); + // FILE_LOGMatrix_SINGLE(WARNING, FTest, ndim, \ + // ndim, "--------F_Xi*Inverse for gauss point %d --------", gp); + // free(FTest); return; } diff --git a/src/elements/ElementCalculations/ComputeH.cpp b/src/elements/ElementCalculations/ComputeH.cpp index b3acfc7b..7bf79cc9 100644 --- a/src/elements/ElementCalculations/ComputeH.cpp +++ b/src/elements/ElementCalculations/ComputeH.cpp @@ -22,4 +22,18 @@ void ComputeH(int e, int gp, double *H) { H[i+j*ndim] = Hij; } } + // double *FTest = (double*)malloc(ndim2*sizeof(double)); + // const int indexT = fptr[e] + ndim * ndim * gp; + // double *F_element_gp = &(F[indexT]); + // for (unsigned int i = 0; i < ndim2; ++i) { + // FTest[i] = H[i]; + // } + // FTest[0] = FTest[0] + 1.0; + // FTest[4] = FTest[4] + 1.0; + // FTest[8] = FTest[8] + 1.0; + // for (unsigned int i = 0; i < ndim2; ++i) { + // FTest[i] -= F_element_gp[i]; + // } + // FILE_LOGMatrix_SINGLE(WARNING, FTest, ndim, \ + // ndim, "--------H_Test for gauss point %d --------", gp); } diff --git a/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp b/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp index 7fa5b88b..b156d991 100644 --- a/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp +++ b/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp @@ -73,6 +73,7 @@ void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ // I don't like it. // The redeclaration needs to find memory and will cut down // on speed. + // xs = dX_j/dXi_k = X_Ij*dN_I/dXi_k double xs[ndim2]; int index = eptr[e]; for (int j = 0; j < ndim; j++) { @@ -91,6 +92,11 @@ void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ + (coordinates[ndim*connectivity[index+6] + j] - coordinates[ndim*connectivity[index+2] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 6 + 2] + (coordinates[ndim*connectivity[index+7] + j] - coordinates[ndim*connectivity[index+3] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 7 + 2]; } + // const int indexT = fptr[e] + ndim * ndim * gp; + // double *F_Xi_0_egp = &(F_Xi_0[indexT]); + // for (unsigned int i = 0; i < ndim2; ++i) { + // F_Xi_0_egp[i] = xs[i]; + // } double det, J_Inv[9]; diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index 46012db8..2c22d193 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -31,6 +31,8 @@ double **Hn, **S0n; int *nProny; // To store number of terms in viscous Prony Series double *B0; +// double *F_Xi_0; + void ShapeFunctions() { nProny = (int *)calloc(nelements, sizeof(int)); for (int i = 0; i < nelements; ++i) { @@ -250,6 +252,7 @@ void ShapeFunctions() { /* set size of deformation gradient, F array - it holds F for all gauss points in all elemnts */ F = (double *)calloc(F_counter, sizeof(double)); + // F_Xi_0 = (double *)calloc(F_counter, sizeof(double)); detF = (double *)calloc(detF_counter, sizeof(double)); invF = (double *)calloc(F_counter, sizeof(double)); // Inititalize F to identity matrix diff --git a/src/fem/SolidMechanics/InternalForceUpdateUL.cpp b/src/fem/SolidMechanics/InternalForceUpdateUL.cpp index cee57e2f..6ba3ff2b 100644 --- a/src/fem/SolidMechanics/InternalForceUpdateUL.cpp +++ b/src/fem/SolidMechanics/InternalForceUpdateUL.cpp @@ -14,11 +14,11 @@ void InternalForceUpdateUL(int e, int gp, double *force) { const unsigned int indexShp = indexStart + I * ndim; // Compute dN_I/dx_j = (dN_I/d_Xi)^T F_Xi^-{-1} const double dN_Ibydx = dshp[indexShp]*F_XiInverse[0] + - dshp[indexShp+1]*F_XiInverse[1] + dshp[indexShp+2]*F_XiInverse[2]; - const double dN_Ibydy = dshp[indexShp]*F_XiInverse[3] + - dshp[indexShp+1]*F_XiInverse[4] + dshp[indexShp +2]*F_XiInverse[5]; - const double dN_Ibydz = dshp[indexShp]*F_XiInverse[6] + - dshp[indexShp+1]*F_XiInverse[7] + dshp[indexShp +2]*F_XiInverse[8]; + dshp[indexShp+1]*F_XiInverse[3] + dshp[indexShp+2]*F_XiInverse[6]; + const double dN_Ibydy = dshp[indexShp]*F_XiInverse[1] + + dshp[indexShp+1]*F_XiInverse[4] + dshp[indexShp +2]*F_XiInverse[7]; + const double dN_Ibydz = dshp[indexShp]*F_XiInverse[2] + + dshp[indexShp+1]*F_XiInverse[5] + dshp[indexShp +2]*F_XiInverse[8]; // Compute f_iI = dN_I/dx_j*sigma_{ji} const double fxI = dN_Ibydx*sigma_n[0]+dN_Ibydy*sigma_n[5]+dN_Ibydz*sigma_n[4]; const double fyI = dN_Ibydx*sigma_n[5]+dN_Ibydy*sigma_n[1]+dN_Ibydz*sigma_n[3]; diff --git a/src/io/output/FreeArrays.cpp b/src/io/output/FreeArrays.cpp index aaec1804..71b18c98 100644 --- a/src/io/output/FreeArrays.cpp +++ b/src/io/output/FreeArrays.cpp @@ -91,4 +91,6 @@ void FreeArrays() { free1DArray(F_XiInverse); free1DArray(sigma_n); free1DArray(B0); + // Temperory test variables + // free1DArray(F_Xi_0); } diff --git a/src/materials/LinearElastic.cpp b/src/materials/LinearElastic.cpp index 3b29c3e6..eb8174e5 100644 --- a/src/materials/LinearElastic.cpp +++ b/src/materials/LinearElastic.cpp @@ -26,7 +26,7 @@ void LinearElastic(int e, int gp) { // Compute strain \epsilon = 0.5*(F+F^T)-I // This can be written as \epsilon = 0.5*(H+H^T) - double *sigma_e = mat2; // Reuse mat2 for epsilon computation + double *sigma_e = mat2; // Reuse mat2 for sigma computation // trace(\epsilon) = trace(F)-3 = trace(H) const double trEpsLambda = lambda*(H[0]+H[4]+H[8]); // \sigma = \lambda tr(\epsilon) I + 2 \mu \epsilon @@ -39,8 +39,8 @@ void LinearElastic(int e, int gp) { } } sigma_e[0] = sigma_e[0] + trEpsLambda; - sigma_e[4] = sigma_e[0] + trEpsLambda; - sigma_e[8] = sigma_e[0] + trEpsLambda; + sigma_e[4] = sigma_e[4] + trEpsLambda; + sigma_e[8] = sigma_e[8] + trEpsLambda; // 6 values saved per gauss point for 3d // in voigt notation, sigma11 From d242e2f18f3db3b43a24dc886425390ef292ea08 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 18 Feb 2021 10:35:28 +0530 Subject: [PATCH 036/106] Validated KM LSDyna ramp up --- examples/ex9/ex9.cpp | 8 +- examples/ex9/materials.dat | 3 +- include/FemTech.h | 3 +- src/fem/AllocateArrays.cpp | 20 ++-- src/fem/ShapeFunctions/ShapeFunctions.cpp | 3 + src/fem/SolidMechanics/StressUpdate.cpp | 4 +- src/io/input/ReadMaterials.cpp | 13 ++- src/materials/CMakeLists.txt | 2 +- src/materials/CompressibleNeoHookean.cpp | 70 ++++++++----- src/materials/StVenantKirchhoff.cpp | 59 +++++++---- src/materials/Viscoelastic.cpp | 69 ------------ src/materials/lsDynaKMEquivalent.cpp | 121 ++++++++++++++++++++++ src/math/math.cpp | 7 ++ 13 files changed, 243 insertions(+), 139 deletions(-) delete mode 100644 src/materials/Viscoelastic.cpp create mode 100644 src/materials/lsDynaKMEquivalent.cpp diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index e343e50e..060cbbdd 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -71,7 +71,7 @@ int main(int argc, char **argv) { dt = 0.0; double tMax = 1.00; // max simulation time in seconds - double dMax = 0.007; // max displacment in meters + double dMax = 0.005; // max displacment in meters int time_step_counter = 0; /** Central Difference Method - Beta and Gamma */ @@ -193,7 +193,11 @@ void ApplyBoundaryConditions(double dMax, double tMax) { // Apply Ramped Displacment if (ExplicitDynamic || ImplicitDynamic) { - AppliedDisp = Time * (dMax / tMax); + if (Time < 0.2) { + AppliedDisp = Time * (dMax / 0.2); + } else { + AppliedDisp = dMax; + } } else if (ImplicitStatic) { AppliedDisp = dMax; } diff --git a/examples/ex9/materials.dat b/examples/ex9/materials.dat index f878fee1..6760bef6 100644 --- a/examples/ex9/materials.dat +++ b/examples/ex9/materials.dat @@ -1,4 +1,4 @@ -0 1 1040 100.0 100.0 +0 6 1040 558.47e6 928 1.66e3 16.95 # 0 7 1040 9.996667e5 2 10.1 53.8 -12.9 -120.4 @@ -14,5 +14,6 @@ # mat ID 4 - HGO Isotropic : density mu lambda k1 k2 # mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 lambda k1 k2 g1 t1 g2 t2 # g1 t1 and g2 t2 are pairs of 2 term Prony series +# mat ID 6 - LS-Dyna Maxwell equivalent : density(Kg/m^3) K(Pa) G_\infity(Pa) G_0(Pa) \beta(1/s) # mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N # mat ID 8 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M diff --git a/include/FemTech.h b/include/FemTech.h index 9aeae639..74d6555a 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -80,9 +80,10 @@ void HGOIsotropic(int e, int gp); void HGOIsotropicViscoelastic(int e, int gp); void Ogden(int e, int gp); void OgdenViscoelastic(int e, int gp); -void Viscoelastic(int e, int gp); +void lsDynaKMEquivalent(int e, int gp); void inverse3x3Matrix(double* mat, double* invMat, double* det); +double det3x3Matrix(double* mat); //void MultiplyMatrices(double* a, double* b, int sizeM, double* result); double tripleProduct(double* s, double* a, double* b); double normOfCrossProduct(double *a, double *b); diff --git a/src/fem/AllocateArrays.cpp b/src/fem/AllocateArrays.cpp index a5246f92..ce80ca77 100644 --- a/src/fem/AllocateArrays.cpp +++ b/src/fem/AllocateArrays.cpp @@ -138,20 +138,18 @@ void AllocateArrays() { // Allocations for material temporary computation // By default initialize mat1 and mat2 // If HGO, Linear Elastic or Ogden material model present, allocate mat3 and mat4 - int matCount = 2; - for (int i = 0; i < nPIDglobal; ++i) { - if (materialID[i] == 3 || materialID[i] == 4 || materialID[i] == 5 || materialID[i] == 7 || materialID[i] == 8) { - matCount = 4; - break; - } - } + // int matCount = 2; + // for (int i = 0; i < nPIDglobal; ++i) { + // if (materialID[i] == 3 || materialID[i] == 4 || materialID[i] == 5 || materialID[i] == 7 || materialID[i] == 8) { + // matCount = 4; + // break; + // } + // } const int matSize = ndim*ndim; mat1 = (double*)malloc(matSize*sizeof(double)); mat2 = (double*)malloc(matSize*sizeof(double)); - if (matCount == 4) { - mat3 = (double*)malloc(matSize*sizeof(double)); - mat4 = (double*)malloc(matSize*sizeof(double)); - } + mat3 = (double*)malloc(matSize*sizeof(double)); + mat4 = (double*)malloc(matSize*sizeof(double)); } /* Precompute and store constantly used sub expressions */ ndim2 = ndim*ndim; diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index 2c22d193..0ecea9ea 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -40,6 +40,9 @@ void ShapeFunctions() { if (materialID[j] == 5) { nProny[i] = properties[MAXMATPARAMS*j+5]; } + if (materialID[j] == 6) { + nProny[i] = 1; + } if (materialID[j] == 8) { const int nOgden = properties[MAXMATPARAMS*j+2]; nProny[i] = properties[MAXMATPARAMS*j+2*nOgden+3]; diff --git a/src/fem/SolidMechanics/StressUpdate.cpp b/src/fem/SolidMechanics/StressUpdate.cpp index 3aeb121c..018592c0 100644 --- a/src/fem/SolidMechanics/StressUpdate.cpp +++ b/src/fem/SolidMechanics/StressUpdate.cpp @@ -22,8 +22,8 @@ void StressUpdate(int e, int gp){ case 5 : // HGO with isotropic fiber distribution and viscoelasticity HGOIsotropicViscoelastic(e, gp); break; - case 6 : // Viscoelastic material - Viscoelastic(e, gp); + case 6 : // LS-Dyna Maxwell viscoelastic material equivalent + lsDynaKMEquivalent(e, gp); break; case 7 : // Ogden Ogden(e, gp); diff --git a/src/io/input/ReadMaterials.cpp b/src/io/input/ReadMaterials.cpp index a14bc8f1..06679e50 100644 --- a/src/io/input/ReadMaterials.cpp +++ b/src/io/input/ReadMaterials.cpp @@ -128,16 +128,23 @@ void ReadMaterials() { // properties[index + 2], properties[index + 3], properties[index + 4], // properties[index + 5]); break; - case 6 :// Viscoelastic material + case 6 :// lsDyna KM Equivalent material // properties[0] = density // properties[1] = K - // properties[2] = G_0 - // properties[3] = G_\infity + // properties[2] = G_\infity + // properties[3] = G_0 // properties[4] = \beta count = fscanf(File, "%lf %lf %lf %lf %lf", &properties[index + 0], &properties[index + 1], &properties[index + 2], &properties[index + 3], &properties[index + 4]); assert(count == 5); + // Convert G_0 to prony series equivalent g_1 : + // g_1 = (G_0 - / G_\infity)/G_\infity = (G_0/G_\infity -1 ) + // Store in properties[3] + properties[3] = properties[3]/properties[2] - 1.0; + // Convert properties[1], K to \lambda + // \lambda = K - 2G/3 + properties[1] = properties[1] - 2.0*properties[2]/3.0; // FILE_LOG_SINGLE(DEBUGLOG, "Part %d Viscoelastic properties (rho, K, G_0, G_infinity, beta) = " // "%3.3f %3.3f %3.3f %3.3f %3.3f\n", // partID, properties[index + 0], properties[index + 1], diff --git a/src/materials/CMakeLists.txt b/src/materials/CMakeLists.txt index 3a949d0b..d81994ab 100644 --- a/src/materials/CMakeLists.txt +++ b/src/materials/CMakeLists.txt @@ -7,7 +7,7 @@ Set(materials_src HGOIsotropicViscoelastic.cpp Ogden.cpp OgdenViscoelastic.cpp - Viscoelastic.cpp + lsDynaKMEquivalent.cpp ) add_library(materials OBJECT ${materials_src}) diff --git a/src/materials/CompressibleNeoHookean.cpp b/src/materials/CompressibleNeoHookean.cpp index 0ebeab0a..4568d504 100644 --- a/src/materials/CompressibleNeoHookean.cpp +++ b/src/materials/CompressibleNeoHookean.cpp @@ -12,21 +12,9 @@ void CompressibleNeoHookean(int e, int gp){ } } if(ndim == 3){ - int index = fptr[e] + ndim * ndim * gp; - int index2 = detFptr[e] + gp; int pide = pid[e]; double mu = properties[MAXMATPARAMS * pide + 1]; double lambda = properties[MAXMATPARAMS * pide + 2]; - double J = detF[index2]; - - // Compute Green-Lagrange Tensor: C = F^T*F - double *Cmat = mat1; - double *Cinv = mat2; - double *F_element_gp = &(F[index]); - dgemm_(chy, chn, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, - F_element_gp, &ndim, &zero, Cmat, &ndim); - double Cdet; - inverse3x3Matrix(Cmat, Cinv, &Cdet); //From Bonet and Wood - Flagshyp //mu = properties(2); @@ -38,23 +26,51 @@ void CompressibleNeoHookean(int e, int gp){ // Bonet and Wood Equation 5.28 //S = mu*(I - C^{-1}) + lambda*ln(J)*C^{-1}; + // (b-I) = (H + H^T + H*H^T) + double *H = mat1; + ComputeH(e, gp, H); + double *bmI = mat2; + // Compute (H+H^T) + for (int i = 0; i < ndim; ++i) { + for (int j = 0; j < ndim; ++j) { + const int indexL = j + i*ndim; + bmI[indexL] = (H[indexL]+H[i+j*ndim]); + } + } + // Compute H H^T and add to bmI + dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, H, &ndim, + H, &ndim, &one, bmI, &ndim); + // Store F in H + // F = H + I + H[0] = H[0] + 1.0; + H[4] = H[4] + 1.0; + H[8] = H[8] + 1.0; + // J = det(F) + const double J = det3x3Matrix(H); + const double factor1 = mu/J; + const double factor2 = lambda*log(J)/J; + + double *sigma_e = mat3; + for (unsigned int i = 0; i < ndim2; ++i) { + sigma_e[i] = factor1*bmI[i]; + } + sigma_e[0] = sigma_e[0] + factor2; + sigma_e[4] = sigma_e[4] + factor2; + sigma_e[8] = sigma_e[8] + factor2; + // 6 values saved per gauss point for 3d - // Computing PK2 - double logJ = lambda*log(J); // in voigt notation, sigma11 - pk2[pk2ptr[e]+6*gp+0] = mu*(1.0-Cinv[0]) + logJ*Cinv[0]; - // in voigt notation, sigma22 - pk2[pk2ptr[e]+6*gp+1] = mu*(1.0-Cinv[4]) + logJ*Cinv[4]; - // in voigt notation, sigma33 - pk2[pk2ptr[e]+6*gp+2] = mu*(1.0-Cinv[8]) + logJ*Cinv[8]; - // in voigt notation, sigma23 - pk2[pk2ptr[e]+6*gp+3] = -mu*Cinv[7] + logJ*Cinv[7]; - // in voigt notation, sigma13 - pk2[pk2ptr[e]+6*gp+4] = -mu*Cinv[6] + logJ*Cinv[6]; - // in voigt notation, sigma12 - pk2[pk2ptr[e]+6*gp+5] = -mu*Cinv[3] + logJ*Cinv[3]; - FILE_LOGArraySingle(DEBUGLOGIGNORE, &(pk2[pk2ptr[e]+6*gp]), 6, \ - "Element : %d, GP : %d Stress values", e, gp); + sigma_n[0] = sigma_e[0]; + // in voigt notation, sigma22 + sigma_n[1] = sigma_e[4]; + // in voigt notation, sigma33 + sigma_n[2] = sigma_e[8]; + // in voigt notation, sigma23 + sigma_n[3] = sigma_e[7]; + // in voigt notation, sigma13 + sigma_n[4] = sigma_e[6]; + // in voigt notation, sigma12 + sigma_n[5] = sigma_e[3]; } return; } diff --git a/src/materials/StVenantKirchhoff.cpp b/src/materials/StVenantKirchhoff.cpp index d21ecbdc..533ff447 100644 --- a/src/materials/StVenantKirchhoff.cpp +++ b/src/materials/StVenantKirchhoff.cpp @@ -18,46 +18,61 @@ void StVenantKirchhoff(int e, int gp) { double lambda = properties[MAXMATPARAMS * pide + 2]; // Compute Green-Lagrange Tensor: E= (1/2)*(F^T*F - I) - double matSize = ndim * ndim; - double *E = mat1; - double *F_element_gp = &(F[index]); + // Compute Green-Lagrange Tensor: E= (1/2)*(H + H^T + H^T*H) + double *H = mat1; + ComputeH(e, gp, H); + double *E = mat2; + // Compute 0.5*(H+H^T) + for (int i = 0; i < ndim; ++i) { + for (int j = 0; j < ndim; ++j) { + const int indexL = j + i*ndim; + E[indexL] = 0.5*(H[indexL]+H[i+j*ndim]); + } + } + // Compute 0.5*H^T H and add to E double half = 0.5; - dgemm_(chy, chn, &ndim, &ndim, &ndim, &half, F_element_gp, &ndim, - F_element_gp, &ndim, &zero, E, &ndim); - E[0] -= half; - E[4] -= half; - E[8] -= half; + dgemm_(chy, chn, &ndim, &ndim, &ndim, &half, H, &ndim, + H, &ndim, &one, E, &ndim); // Compute 2nd Piola-Kirchhoff Stress // S = lambda*tr(E)*I+2*mu*E double traceE = E[0] + E[4] + E[8]; - double *S = mat2; - for (int i = 0; i < matSize; ++i) { + double *S = mat3; + for (int i = 0; i < ndim2; ++i) { S[i] = 2.0 * mu * E[i]; } S[0] += lambda * traceE; S[4] += lambda * traceE; S[8] += lambda * traceE; + + // Store F in H + // F = H + I + H[0] = H[0] + 1.0; + H[4] = H[4] + 1.0; + H[8] = H[8] + 1.0; + + double *sigmaTemp = mat4; + double *sigma = mat2; + double Jinv = 1.0/det3x3Matrix(H); + // Compute F S F^T + dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, H, &ndim, + S, &ndim, &zero, sigmaTemp, &ndim); + dgemm_(chn, chy, &ndim, &ndim, &ndim, &Jinv, sigmaTemp, &ndim, + H, &ndim, &zero, sigma, &ndim); // 6 values saved per gauss point for 3d // in voigt notation, sigma11 - pk2[pk2ptr[e] + 6 * gp + 0] = S[0]; + sigma_n[0] = sigma[0]; // in voigt notation, sigma22 - pk2[pk2ptr[e] + 6 * gp + 1] = S[4]; + sigma_n[1] = sigma[4]; // in voigt notation, sigma33 - pk2[pk2ptr[e] + 6 * gp + 2] = S[8]; + sigma_n[2] = sigma[8]; // in voigt notation, sigma23 - pk2[pk2ptr[e] + 6 * gp + 3] = S[7]; + sigma_n[3] = sigma[7]; // in voigt notation, sigma13 - pk2[pk2ptr[e] + 6 * gp + 4] = S[6]; + sigma_n[4] = sigma[6]; // in voigt notation, sigma12 - pk2[pk2ptr[e] + 6 * gp + 5] = S[3]; - - FILE_LOGArraySingle(DEBUGLOGIGNORE, &(pk2[pk2ptr[e]+6*gp]), 6, \ - "Element : %d, GP : %d Stress values", e, gp); - FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, F_element_gp, ndim, ndim, "Printing F Matrix"); - FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, E, ndim, ndim, "Printing E Matrix"); - FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, S, ndim, ndim, "Printing S Matrix"); + sigma_n[5] = sigma[3]; } // if ndim == 3 return; } diff --git a/src/materials/Viscoelastic.cpp b/src/materials/Viscoelastic.cpp deleted file mode 100644 index e9ea8d03..00000000 --- a/src/materials/Viscoelastic.cpp +++ /dev/null @@ -1,69 +0,0 @@ -#include "FemTech.h" -#include "blas.h" - -#include -// Viscoelastic material -// Evaluates the PK2 stress tensor - -void Viscoelastic(int e, int gp) { - if (ndim == 2) { - // 6 values saved per gauss point for 3d - for (int i = 0; i < 3; i++) { - int index = pk2ptr[e] + 3 * gp + i; - } - } - if (ndim == 3) { - const int index = fptr[e] + ndim * ndim * gp; - const int pide = pid[e]; - const double K = properties[MAXMATPARAMS * pide + 1]; - const double G0 = properties[MAXMATPARAMS * pide + 2]; - const double Ginf = properties[MAXMATPARAMS * pide + 3]; - const double beta = properties[MAXMATPARAMS * pide + 4]; - - const double mu = Ginf + (G0-Ginf)*exp(-beta*Time); - const double lambda = K - 2.0*mu/3.0; - - // Compute Green-Lagrange Tensor: E= (1/2)*(F^T*F - I) - double matSize = ndim * ndim; - double *E = mat1; - double *F_element_gp = &(F[index]); - double half = 0.5; - dgemm_(chy, chn, &ndim, &ndim, &ndim, &half, F_element_gp, &ndim, - F_element_gp, &ndim, &zero, E, &ndim); - E[0] -= half; - E[4] -= half; - E[8] -= half; - - // Compute 2nd Piola-Kirchhoff Stress - // S = lambda*tr(E)*I+2*mu*E - double traceE = E[0] + E[4] + E[8]; - double *S = mat2; - for (int i = 0; i < matSize; ++i) { - S[i] = 2.0 * mu * E[i]; - } - S[0] += lambda * traceE; - S[4] += lambda * traceE; - S[8] += lambda * traceE; - - // 6 values saved per gauss point for 3d - // in voigt notation, sigma11 - pk2[pk2ptr[e] + 6 * gp + 0] = S[0]; - // in voigt notation, sigma22 - pk2[pk2ptr[e] + 6 * gp + 1] = S[4]; - // in voigt notation, sigma33 - pk2[pk2ptr[e] + 6 * gp + 2] = S[8]; - // in voigt notation, sigma23 - pk2[pk2ptr[e] + 6 * gp + 3] = S[7]; - // in voigt notation, sigma13 - pk2[pk2ptr[e] + 6 * gp + 4] = S[6]; - // in voigt notation, sigma12 - pk2[pk2ptr[e] + 6 * gp + 5] = S[3]; - - FILE_LOGArraySingle(DEBUGLOGIGNORE, &(pk2[pk2ptr[e]+6*gp]), 6, \ - "Element : %d, GP : %d Stress values", e, gp); - FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, F_element_gp, ndim, ndim, "Printing F Matrix"); - FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, E, ndim, ndim, "Printing E Matrix"); - FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, S, ndim, ndim, "Printing S Matrix"); - } // if ndim == 3 - return; -} diff --git a/src/materials/lsDynaKMEquivalent.cpp b/src/materials/lsDynaKMEquivalent.cpp new file mode 100644 index 00000000..66ad484f --- /dev/null +++ b/src/materials/lsDynaKMEquivalent.cpp @@ -0,0 +1,121 @@ +#include "FemTech.h" +#include "blas.h" + +/* three-dimensional compressible neo-Hookean model with one term prony series + * equivalent to LS-Dyna implementation of KM model (MAT_061) with FO=0, ie Maxwell model. + * G(t) = G_\infity + (G_0 - G_\infity) exp (-\beta t) + * In prony series equivalent G_{eq} *(1 + g_1 exp (-\beta t)) + * g_1 = (G_0-G_\infity)/G_\infity, G_{eq} = G_\infity + * Evaluates the cauchy stress tensor + * Viscoelasticity implementation based on : + * Kaliske, M. and Rothert, H., 1997. Formulation and + * implementation of three-dimensional viscoelasticity at small and finite + * strains. Computational Mechanics, 19(3), pp.228-239. + * Expected material properties : + * \rho = properties(0) + * \lambda = properties(1) + * G_\infity = properties(2) + * g_1 = properties(3) + * \beta_1 = properties(4) + * */ + +void lsDynaKMEquivalent(int e, int gp) { + if(ndim == 2) { + // 6 values saved per gauss point for 3d + for(int i=0;i<3;i++){ + int index = pk2[e]+3*gp+i; + } + } + if(ndim == 3) { + const unsigned int pideOffset = MAXMATPARAMS*pid[e]; + double mu = properties[pideOffset + 2]; + double lambda = properties[pideOffset + 1]; + double g_1 = properties[pideOffset + 3]; + double beta_1 = properties[pideOffset + 4]; + + //From Bonet and Wood - Flagshyp + //Cauchy = (mu/J)*(b - cons.I) + (lambda/J)*log(J)*cons.I; + // Bonet and Wood Equation 5.29 + //S = mu*(I - C^{-1}) + lambda*ln(J)*C^{-1}; + + // (b-I) = (H + H^T + H*H^T) + double *H = mat1; + ComputeH(e, gp, H); + double *bmI = mat2; + // Compute (H+H^T) + for (int i = 0; i < ndim; ++i) { + for (int j = 0; j < ndim; ++j) { + const int indexL = j + i*ndim; + bmI[indexL] = (H[indexL]+H[i+j*ndim]); + } + } + // Compute H H^T and add to bmI + dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, H, &ndim, + H, &ndim, &one, bmI, &ndim); + // Store F in H + // F = H + I + H[0] = H[0] + 1.0; + H[4] = H[4] + 1.0; + H[8] = H[8] + 1.0; + // J = det(F) + const double J = det3x3Matrix(H); + const double factor1 = mu/J; + const double factor2 = lambda*log(J)/J; + + double *sigma_e = mat3; + for (unsigned int i = 0; i < ndim2; ++i) { + sigma_e[i] = factor1*bmI[i]; + } + sigma_e[0] = sigma_e[0] + factor2; + sigma_e[4] = sigma_e[4] + factor2; + sigma_e[8] = sigma_e[8] + factor2; + + // minus of pressure computation + const double mPressure = (sigma_e[0] + sigma_e[4] + sigma_e[8])/3.0; + + // Reuse temp storage mat1 to store Deviatoric part of sigma + double *sigma_eDev = mat1; + for (unsigned int i = 0; i < ndim2; ++i) { + sigma_eDev[i] = sigma_e[i]; + } + sigma_eDev[0] = sigma_eDev[0] - mPressure; + sigma_eDev[4] = sigma_eDev[4] - mPressure; + sigma_eDev[8] = sigma_eDev[8] - mPressure; + + // Access histroy dependence + double *elemS = S0n[e]; + double *S0nLocal = &(elemS[gp*ndim2]); + double *elemH = Hn[e]; + double *HnI = &(elemH[gp*ndim2]); + // Compute C1i = exp(-dt/t_i) and C2i = g_i (1-exp(-dt/t_i))/(dt/t_i) + const double rt = dt*beta_1; + const double c1i = exp(-rt); + const double c2i = g_1*(1.0-c1i)/rt; + // Update H_j^{n+1} = c1j*H_j^n + c2j*[Dev S_0^{n+1} - S_0^n] + // Update S^{n+1} = S_0^{n+1} + \sum_j H_j^{n+1} + for (int j = 0; j < ndim2; ++j) { + HnI[j] = c1i*HnI[j]+c2i*(sigma_eDev[j]-S0nLocal[j]); + sigma_e[j] = sigma_e[j] + HnI[j]; + } + + // 6 values saved per gauss point for 3d + // in voigt notation, sigma11 + sigma_n[0] = sigma_e[0]; + // in voigt notation, sigma22 + sigma_n[1] = sigma_e[4]; + // in voigt notation, sigma33 + sigma_n[2] = sigma_e[8]; + // in voigt notation, sigma23 + sigma_n[3] = sigma_e[7]; + // in voigt notation, sigma13 + sigma_n[4] = sigma_e[6]; + // in voigt notation, sigma12 + sigma_n[5] = sigma_e[3]; + + // Update deviatoric part of S_0 for next time step + for (int i = 0; i < ndim2; ++i) { + S0nLocal[i] = sigma_eDev[i]; + } + } + return; +} diff --git a/src/math/math.cpp b/src/math/math.cpp index 786a6426..1a4a00e4 100644 --- a/src/math/math.cpp +++ b/src/math/math.cpp @@ -28,6 +28,13 @@ void inverse3x3Matrix(double* mat, double* invMat, double* det) { (*det) = detLocal; } +double det3x3Matrix(double* mat) { + double det = mat[0] * (mat[4] * mat[8] - mat[5] * mat[7]) - + mat[3] * (mat[1] * mat[8] - mat[7] * mat[2]) + + mat[6] * (mat[1] * mat[5] - mat[4] * mat[2]); + return det; +} + double normOfCrossProduct(double *a, double *b) { double z = a[0]*b[1]-a[1]*b[0]; if (ndim == 3) { From a2bd5ba743885d10c9f001031c971dabbb2ae4fe Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 18 Feb 2021 10:50:05 +0530 Subject: [PATCH 037/106] Validated case 2 ramp up and down --- examples/ex9/ex9.cpp | 10 +++++- examples/ex9/gnuplot.script | 6 ++-- examples/ex9/ls-dyna/Case1Disp.txt | 52 ++++++++++++++++++++++++++++++ examples/ex9/ls-dyna/Case2Disp.txt | 52 ++++++++++++++++++++++++++++++ examples/ex9/ls-dyna/Case3Disp.txt | 52 ++++++++++++++++++++++++++++++ 5 files changed, 168 insertions(+), 4 deletions(-) create mode 100644 examples/ex9/ls-dyna/Case1Disp.txt create mode 100644 examples/ex9/ls-dyna/Case2Disp.txt create mode 100644 examples/ex9/ls-dyna/Case3Disp.txt diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 060cbbdd..5b8f391f 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -196,7 +196,15 @@ void ApplyBoundaryConditions(double dMax, double tMax) { if (Time < 0.2) { AppliedDisp = Time * (dMax / 0.2); } else { - AppliedDisp = dMax; + if (Time < 0.5) { + AppliedDisp = dMax; + } else { + if (Time < 0.7) { + AppliedDisp = dMax - (Time-0.5)*dMax/0.2; + } else { + AppliedDisp = 0; + } + } } } else if (ImplicitStatic) { AppliedDisp = dMax; diff --git a/examples/ex9/gnuplot.script b/examples/ex9/gnuplot.script index ae2485e8..2a5841fb 100644 --- a/examples/ex9/gnuplot.script +++ b/examples/ex9/gnuplot.script @@ -43,12 +43,12 @@ set xlabel "Time (s)" offset 0,-2 font ",28" set ylabel "Displacement (m)" offset -4,0 font ",28" # set location of legend -set key left top +set key right top # set font size of legend set key font ",18" set term pngcairo dashed notransparent size 1200,960 dashlength .4 set output "plot.png" -plot "ls-dyna/1-elt-ogden-3.txt" using 1:2 ls 3 title "LS-DYNA DispX", \ - "ls-dyna/1-elt-ogden-3.txt" using 1:3 ls 4 title "LS-DYNA DispY", \ +plot "ls-dyna/Case2Disp.txt" using 1:2 ls 3 title "LS-DYNA DispX", \ + "ls-dyna/Case2Disp.txt" using 1:3 ls 4 title "LS-DYNA DispY", \ "plot.dat" using 1:2 ls 1 title "FEMTECH DispX", \ "plot.dat" using 1:3 ls 2 title "FEMTECH DispY" diff --git a/examples/ex9/ls-dyna/Case1Disp.txt b/examples/ex9/ls-dyna/Case1Disp.txt new file mode 100644 index 00000000..97525b9b --- /dev/null +++ b/examples/ex9/ls-dyna/Case1Disp.txt @@ -0,0 +1,52 @@ + 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 + 1.9999459386e-02 -2.3267604411e-04 4.9998657778e-04 -2.3267604411e-04 + 3.9995390922e-02 -4.3559214100e-04 9.9988467991e-04 -4.3559214100e-04 + 5.9995539486e-02 -6.1466032639e-04 1.4998884872e-03 -6.1466032639e-04 + 7.9999335110e-02 -7.7420985326e-04 1.9999835640e-03 -7.7420985326e-04 + 9.9997632205e-02 -9.1748498380e-04 2.4999408051e-03 -9.1748498380e-04 + 1.1999623477e-01 -1.0471120477e-03 2.9999054968e-03 -1.0471120477e-03 + 1.3999667764e-01 -1.1651387904e-03 3.4999167547e-03 -1.1651387904e-03 + 1.5999695659e-01 -1.2731857132e-03 3.9999233559e-03 -1.2731857132e-03 + 1.7999975383e-01 -1.3725983445e-03 4.4999932870e-03 -1.3725983445e-03 + 1.9999809563e-01 -1.4644381590e-03 4.9999523908e-03 -1.4644381590e-03 + 2.1999759972e-01 -1.4644467738e-03 4.9999998882e-03 -1.4644467738e-03 + 2.3999886215e-01 -1.4644467738e-03 4.9999998882e-03 -1.4644467738e-03 + 2.5999602675e-01 -1.4644467738e-03 4.9999998882e-03 -1.4644467738e-03 + 2.7999728918e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 2.9999855161e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 3.1999981403e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 3.3999696374e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 3.5999822617e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 3.7999948859e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 3.9999663830e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 4.1999790072e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 4.3999916315e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 4.5999631286e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 4.7999757528e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 4.9999883771e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 5.1999598742e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 5.3999727964e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 5.5999851227e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 5.7999974489e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 5.9999692440e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 6.1999821663e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 6.3999944925e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 6.5999662876e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 6.7999786139e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 6.9999915361e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 7.1999627352e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 7.3999756575e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 7.5999879837e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 7.7999597788e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 7.9999721050e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 8.1999850273e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 8.3999568224e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 8.5999691486e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 8.7999814749e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 8.9999943972e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 9.1999661922e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 9.3999785185e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 9.5999908447e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 9.7999626398e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 9.9999749660e-01 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 + 1.0000016689e+00 -1.4644470066e-03 4.9999998882e-03 -1.4644470066e-03 diff --git a/examples/ex9/ls-dyna/Case2Disp.txt b/examples/ex9/ls-dyna/Case2Disp.txt new file mode 100644 index 00000000..d336b2ed --- /dev/null +++ b/examples/ex9/ls-dyna/Case2Disp.txt @@ -0,0 +1,52 @@ + 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 + 1.9999459386e-02 -2.3267604411e-04 4.9998657778e-04 -2.3267604411e-04 + 3.9995390922e-02 -4.3559214100e-04 9.9988467991e-04 -4.3559214100e-04 + 5.9995539486e-02 -6.1466032639e-04 1.4998884872e-03 -6.1466032639e-04 + 7.9999335110e-02 -7.7420985326e-04 1.9999835640e-03 -7.7420985326e-04 + 9.9997632205e-02 -9.1748498380e-04 2.4999408051e-03 -9.1748498380e-04 + 1.1999623477e-01 -1.0471120477e-03 2.9999054968e-03 -1.0471120477e-03 + 1.3999667764e-01 -1.1651387904e-03 3.4999167547e-03 -1.1651387904e-03 + 1.5999695659e-01 -1.2731857132e-03 3.9999233559e-03 -1.2731857132e-03 + 1.7999975383e-01 -1.3725983445e-03 4.4999932870e-03 -1.3725983445e-03 + 1.9999809563e-01 -1.4644381590e-03 4.9999523908e-03 -1.4644381590e-03 + 2.1999759972e-01 -1.4644467738e-03 4.9999998882e-03 -1.4644467738e-03 + 2.3999886215e-01 -1.4644467738e-03 4.9999998882e-03 -1.4644467738e-03 + 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-1.3726027682e-03 + 5.3999590874e-01 -1.2732185423e-03 4.0001021698e-03 -1.2732185423e-03 + 5.5999529362e-01 -1.1651783716e-03 3.5001169890e-03 -1.1651783716e-03 + 5.7999962568e-01 -1.0471292771e-03 3.0000088736e-03 -1.0471292771e-03 + 5.9999734163e-01 -9.1750873253e-04 2.5000660680e-03 -9.1750873253e-04 + 6.1999976635e-01 -7.7420147136e-04 2.0000059158e-03 -7.7420147136e-04 + 6.3999772072e-01 -6.1469664797e-04 1.5000570565e-03 -6.1469664797e-04 + 6.5999883413e-01 -4.3562008068e-04 1.0000290349e-03 -4.3562008068e-04 + 6.7999839783e-01 -2.3265974596e-04 5.0003966317e-04 -2.3265974596e-04 + 6.9999450445e-01 -2.0954757929e-08 1.3737007976e-07 -2.0954757929e-08 + 7.1999847889e-01 4.7497451305e-08 0.0000000000e+00 4.7497451305e-08 + 7.3999547958e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 7.5999826193e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 7.7999490499e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 7.9999804497e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 8.1999427080e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 8.3999741077e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 8.5999405384e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 8.7999647856e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 8.9999383688e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 9.1999584436e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 9.3999898434e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 9.5999598503e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 9.7999840975e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 9.9999576807e-01 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 + 1.0000015497e+00 4.7963112593e-08 0.0000000000e+00 4.7963112593e-08 diff --git a/examples/ex9/ls-dyna/Case3Disp.txt b/examples/ex9/ls-dyna/Case3Disp.txt new file mode 100644 index 00000000..fc62d2ed --- /dev/null +++ b/examples/ex9/ls-dyna/Case3Disp.txt @@ -0,0 +1,52 @@ + 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 + 1.9999580458e-02 -4.3561961502e-04 9.9997920915e-04 -4.3561961502e-04 + 3.9999421686e-02 -7.7419308946e-04 1.9999709912e-03 -7.7419308946e-04 + 5.9997517616e-02 -1.0470901616e-03 2.9998756945e-03 -1.0470901616e-03 + 7.9997755587e-02 -1.2731617317e-03 3.9998870343e-03 -1.2731617317e-03 + 9.9996730685e-02 -1.4644004405e-03 4.9998359755e-03 -1.4644004405e-03 + 1.1999624223e-01 -1.4644295443e-03 4.9999998882e-03 -1.4644295443e-03 + 1.3999749720e-01 -1.4644295443e-03 4.9999998882e-03 -1.4644295443e-03 + 1.5999875963e-01 -1.4644297771e-03 4.9999998882e-03 -1.4644297771e-03 + 1.7999592423e-01 -1.4644297771e-03 4.9999998882e-03 -1.4644297771e-03 + 1.9999718666e-01 -1.4644297771e-03 4.9999998882e-03 -1.4644297771e-03 + 2.1999968588e-01 -1.2731815223e-03 4.0000155568e-03 -1.2731815223e-03 + 2.3999769986e-01 -1.0471343994e-03 3.0001150444e-03 -1.0471343994e-03 + 2.5999787450e-01 -7.7420379966e-04 2.0001064986e-03 -7.7420379966e-04 + 2.7999576926e-01 -4.3565453961e-04 1.0002120398e-03 -4.3565453961e-04 + 2.9999911785e-01 7.1246176958e-08 4.4703483582e-08 7.1246176958e-08 + 3.1999570131e-01 9.5460563898e-08 0.0000000000e+00 9.5460563898e-08 + 3.3999863267e-01 9.5926225185e-08 0.0000000000e+00 9.5926225185e-08 + 3.5999506712e-01 9.5926225185e-08 0.0000000000e+00 9.5926225185e-08 + 3.7999728322e-01 9.5926225185e-08 0.0000000000e+00 9.5926225185e-08 + 3.9999446273e-01 9.5926225185e-08 0.0000000000e+00 9.5926225185e-08 + 4.1999951005e-01 -4.3553067371e-04 9.9997501820e-04 -4.3553067371e-04 + 4.3999716640e-01 -7.7407807112e-04 1.9998578355e-03 -7.7407807112e-04 + 4.6000003815e-01 -1.0470454581e-03 3.0000014231e-03 -1.0470454581e-03 + 4.7999683022e-01 -1.2730779126e-03 3.9998413995e-03 -1.2730779126e-03 + 4.9999806285e-01 -1.4643431641e-03 4.9999020994e-03 -1.4643431641e-03 + 5.1999783516e-01 -1.4643613249e-03 4.9999998882e-03 -1.4643613249e-03 + 5.3999906778e-01 -1.4643615577e-03 4.9999998882e-03 -1.4643615577e-03 + 5.5999624729e-01 -1.4643615577e-03 4.9999998882e-03 -1.4643615577e-03 + 5.7999753952e-01 -1.4643615577e-03 4.9999998882e-03 -1.4643615577e-03 + 5.9999877214e-01 -1.4643617906e-03 4.9999998882e-03 -1.4643617906e-03 + 6.1999899149e-01 -1.2731202878e-03 4.0000509471e-03 -1.2731202878e-03 + 6.3999921083e-01 -1.0470403358e-03 3.0000396073e-03 -1.0470403358e-03 + 6.5999484062e-01 -7.7416747808e-04 2.0002583042e-03 -7.7416747808e-04 + 6.7999672890e-01 -4.3555162847e-04 1.0001631454e-03 -4.3555162847e-04 + 6.9999504089e-01 6.8452209234e-08 2.4773180485e-07 6.8452209234e-08 + 7.1999734640e-01 1.9185245037e-07 0.0000000000e+00 1.9185245037e-07 + 7.3999375105e-01 1.9231811166e-07 0.0000000000e+00 1.9231811166e-07 + 7.5999557972e-01 1.9231811166e-07 0.0000000000e+00 1.9231811166e-07 + 7.7999776602e-01 1.9231811166e-07 0.0000000000e+00 1.9231811166e-07 + 7.9999452829e-01 1.9231811166e-07 0.0000000000e+00 1.9231811166e-07 + 8.1999862194e-01 -4.3542543426e-04 9.9993078038e-04 -4.3542543426e-04 + 8.3999747038e-01 -7.7400077134e-04 1.9998736680e-03 -7.7400077134e-04 + 8.5999804735e-01 -1.0469467379e-03 2.9999027029e-03 -1.0469467379e-03 + 8.7999719381e-01 -1.2730087619e-03 3.9998600259e-03 -1.2730087619e-03 + 8.9999598265e-01 -1.4642551541e-03 4.9997996539e-03 -1.4642551541e-03 + 9.1999930143e-01 -1.4642931055e-03 4.9999998882e-03 -1.4642931055e-03 + 9.3999648094e-01 -1.4642933384e-03 4.9999998882e-03 -1.4642933384e-03 + 9.5999771357e-01 -1.4642933384e-03 4.9999998882e-03 -1.4642933384e-03 + 9.7999900579e-01 -1.4642935712e-03 4.9999998882e-03 -1.4642935712e-03 + 9.9999618530e-01 -1.4642935712e-03 4.9999998882e-03 -1.4642935712e-03 + 1.0000002384e+00 -1.4642935712e-03 4.9999998882e-03 -1.4642935712e-03 From eb0d54072753c2ddd6fa81438d88d76dda4cd4df Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 18 Feb 2021 11:17:47 +0530 Subject: [PATCH 038/106] Single element multiple cycle KM validated --- examples/ex9/ex9.cpp | 36 ++++++++++++++++++++++++++++++------ examples/ex9/gnuplot.script | 4 ++-- 2 files changed, 32 insertions(+), 8 deletions(-) diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 5b8f391f..f0372ed8 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -193,16 +193,40 @@ void ApplyBoundaryConditions(double dMax, double tMax) { // Apply Ramped Displacment if (ExplicitDynamic || ImplicitDynamic) { - if (Time < 0.2) { - AppliedDisp = Time * (dMax / 0.2); + if (Time < 0.1) { + AppliedDisp = Time * (dMax / 0.1); } else { - if (Time < 0.5) { + if (Time < 0.2) { AppliedDisp = dMax; } else { - if (Time < 0.7) { - AppliedDisp = dMax - (Time-0.5)*dMax/0.2; + if (Time < 0.3) { + AppliedDisp = dMax - (Time-0.2)*dMax/0.1; } else { - AppliedDisp = 0; + if (Time < 0.4) { + AppliedDisp = 0; + } else { + if (Time < 0.5) { + AppliedDisp = (Time-0.4) * (dMax / 0.1); + } else { + if (Time < 0.6) { + AppliedDisp = dMax; + } else { + if (Time < 0.7) { + AppliedDisp = dMax - (Time-0.6)*dMax/0.1; + } else { + if (Time < 0.8) { + AppliedDisp = 0; + } else { + if (Time < 0.9) { + AppliedDisp = (Time-0.8) * (dMax / 0.1); + } else { + AppliedDisp = dMax; + } + } + } + } + } + } } } } diff --git a/examples/ex9/gnuplot.script b/examples/ex9/gnuplot.script index 2a5841fb..31a26df2 100644 --- a/examples/ex9/gnuplot.script +++ b/examples/ex9/gnuplot.script @@ -48,7 +48,7 @@ set key right top set key font ",18" set term pngcairo dashed notransparent size 1200,960 dashlength .4 set output "plot.png" -plot "ls-dyna/Case2Disp.txt" using 1:2 ls 3 title "LS-DYNA DispX", \ - "ls-dyna/Case2Disp.txt" using 1:3 ls 4 title "LS-DYNA DispY", \ +plot "ls-dyna/Case3Disp.txt" using 1:2 ls 3 title "LS-DYNA DispX", \ + "ls-dyna/Case3Disp.txt" using 1:3 ls 4 title "LS-DYNA DispY", \ "plot.dat" using 1:2 ls 1 title "FEMTECH DispX", \ "plot.dat" using 1:3 ls 2 title "FEMTECH DispY" From 40074ebe5a16ab693836816cc1ea8684fadc09ff Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 20 Feb 2021 00:29:46 +0530 Subject: [PATCH 039/106] Updated log file to print unique ID --- src/io/InitFinalizeFemTech.cpp | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/src/io/InitFinalizeFemTech.cpp b/src/io/InitFinalizeFemTech.cpp index a93af2a0..7db68714 100644 --- a/src/io/InitFinalizeFemTech.cpp +++ b/src/io/InitFinalizeFemTech.cpp @@ -41,8 +41,10 @@ Json::Value InitFemTech(int argc, char **argv) { // Initialize the output log file initLog(logFile.c_str()); + FILE_LOG_MASTER(INFO, "Simulation started"); FILE_LOG_MASTER(INFO, "Code with commit hash : %s of branch %s", GIT_COMMIT_HASH, GIT_BRANCH); + FILE_LOG_MASTER(INFO, "Event ID : %s", uid.c_str()); return inputJson; } @@ -68,8 +70,10 @@ void InitFemTechWoInput(int argc, char **argv) { // Initialize the output log file initLog(logFile.c_str()); + FILE_LOG_MASTER(INFO, "Simulation started"); FILE_LOG_MASTER(INFO, "Code with commit hash : %s of branch %s", GIT_COMMIT_HASH, GIT_BRANCH); + FILE_LOG_MASTER(INFO, "Event ID : %s", uid.c_str()); } void FinalizeFemTech() { From 8439dd06cf7da7c7323f854766acc62b1aa0504c Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 20 Feb 2021 02:35:23 +0530 Subject: [PATCH 040/106] Stored F for element MPS computation --- examples/ex5/materials.dat | 22 +++++++++++---------- src/materials/CompressibleNeoHookean.cpp | 16 +++++++++------ src/materials/LinearElastic.cpp | 10 ++++++++++ src/materials/StVenantKirchhoff.cpp | 17 +++++++++------- src/materials/lsDynaKMEquivalent.cpp | 25 ++++++++++++++---------- 5 files changed, 57 insertions(+), 33 deletions(-) diff --git a/examples/ex5/materials.dat b/examples/ex5/materials.dat index 96c837b8..8ce8543c 100644 --- a/examples/ex5/materials.dat +++ b/examples/ex5/materials.dat @@ -1,13 +1,13 @@ 0 0 1500 -1 5 1000 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -2 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -3 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -4 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -5 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -6 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -7 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -8 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -9 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +1 6 1040 558.47e6 928 1.66e3 16.95 +2 6 1040 558.47e6 928 1.66e3 16.95 +3 6 1040 558.47e6 928 1.66e3 16.95 +4 6 1040 558.47e6 928 1.66e3 16.95 +5 6 1040 558.47e6 928 1.66e3 16.95 +6 6 1040 558.47e6 928 1.66e3 16.95 +7 6 1040 558.47e6 928 1.66e3 16.95 +8 6 1040 558.47e6 928 1.66e3 16.95 +9 6 1040 558.47e6 928 1.66e3 16.95 # form of file @@ -22,4 +22,6 @@ # mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 K k1 k2 n g1 t1 g2 # t2 .... gn tn # gi's ti's are pairs of n term Prony series -# mat ID 6 - Viscoelastic : density(Kg/m^3) K(Pa) G_0(Pa) G_\infity(Pa) \beta(1/s) +# mat ID 6 - LS-Dyna Maxwell equivalent : density(Kg/m^3) K(Pa) G_\infity(Pa) G_0(Pa) \beta(1/s) +# mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N +# mat ID 8 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M diff --git a/src/materials/CompressibleNeoHookean.cpp b/src/materials/CompressibleNeoHookean.cpp index 4568d504..50624edc 100644 --- a/src/materials/CompressibleNeoHookean.cpp +++ b/src/materials/CompressibleNeoHookean.cpp @@ -15,6 +15,7 @@ void CompressibleNeoHookean(int e, int gp){ int pide = pid[e]; double mu = properties[MAXMATPARAMS * pide + 1]; double lambda = properties[MAXMATPARAMS * pide + 2]; + const unsigned int index = fptr[e] + ndim * ndim * gp; //From Bonet and Wood - Flagshyp //mu = properties(2); @@ -40,13 +41,16 @@ void CompressibleNeoHookean(int e, int gp){ // Compute H H^T and add to bmI dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, H, &ndim, H, &ndim, &one, bmI, &ndim); - // Store F in H - // F = H + I - H[0] = H[0] + 1.0; - H[4] = H[4] + 1.0; - H[8] = H[8] + 1.0; + // Compute and store F = H + I + double * const F_element_gp = &(F[index]); + for (unsigned int i = 0; i < ndim2; ++i) { + F_element_gp[i] = H[i]; + } + F_element_gp[0] = F_element_gp[0] + 1.0; + F_element_gp[4] = F_element_gp[4] + 1.0; + F_element_gp[8] = F_element_gp[8] + 1.0; // J = det(F) - const double J = det3x3Matrix(H); + const double J = det3x3Matrix(F_element_gp); const double factor1 = mu/J; const double factor2 = lambda*log(J)/J; diff --git a/src/materials/LinearElastic.cpp b/src/materials/LinearElastic.cpp index eb8174e5..24a9b4bb 100644 --- a/src/materials/LinearElastic.cpp +++ b/src/materials/LinearElastic.cpp @@ -15,6 +15,7 @@ void LinearElastic(int e, int gp) { int pide = pid[e]; double mu = properties[MAXMATPARAMS * pide + 1]; double lambda = properties[MAXMATPARAMS * pide + 2]; + const unsigned int index = fptr[e] + ndim * ndim * gp; // Computation based on // http://run.usc.edu/femdefo/sifakis-courseNotes-TheoryAndDiscretization.pdf // section 3.2 @@ -42,6 +43,15 @@ void LinearElastic(int e, int gp) { sigma_e[4] = sigma_e[4] + trEpsLambda; sigma_e[8] = sigma_e[8] + trEpsLambda; + // Compute and store F = H + I + double * const F_element_gp = &(F[index]); + for (unsigned int i = 0; i < ndim2; ++i) { + F_element_gp[i] = H[i]; + } + F_element_gp[0] = F_element_gp[0] + 1.0; + F_element_gp[4] = F_element_gp[4] + 1.0; + F_element_gp[8] = F_element_gp[8] + 1.0; + // 6 values saved per gauss point for 3d // in voigt notation, sigma11 sigma_n[0] = sigma_e[0]; diff --git a/src/materials/StVenantKirchhoff.cpp b/src/materials/StVenantKirchhoff.cpp index 533ff447..8402e0bc 100644 --- a/src/materials/StVenantKirchhoff.cpp +++ b/src/materials/StVenantKirchhoff.cpp @@ -12,10 +12,10 @@ void StVenantKirchhoff(int e, int gp) { } } if (ndim == 3) { - int index = fptr[e] + ndim * ndim * gp; int pide = pid[e]; double mu = properties[MAXMATPARAMS * pide + 1]; double lambda = properties[MAXMATPARAMS * pide + 2]; + const unsigned int index = fptr[e] + ndim * ndim * gp; // Compute Green-Lagrange Tensor: E= (1/2)*(F^T*F - I) // Compute Green-Lagrange Tensor: E= (1/2)*(H + H^T + H^T*H) @@ -45,15 +45,18 @@ void StVenantKirchhoff(int e, int gp) { S[4] += lambda * traceE; S[8] += lambda * traceE; - // Store F in H - // F = H + I - H[0] = H[0] + 1.0; - H[4] = H[4] + 1.0; - H[8] = H[8] + 1.0; + // Compute and store F = H + I + double * const F_element_gp = &(F[index]); + for (unsigned int i = 0; i < ndim2; ++i) { + F_element_gp[i] = H[i]; + } + F_element_gp[0] = F_element_gp[0] + 1.0; + F_element_gp[4] = F_element_gp[4] + 1.0; + F_element_gp[8] = F_element_gp[8] + 1.0; double *sigmaTemp = mat4; double *sigma = mat2; - double Jinv = 1.0/det3x3Matrix(H); + double Jinv = 1.0/det3x3Matrix(F_element_gp); // Compute F S F^T dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, H, &ndim, S, &ndim, &zero, sigmaTemp, &ndim); diff --git a/src/materials/lsDynaKMEquivalent.cpp b/src/materials/lsDynaKMEquivalent.cpp index 66ad484f..10beea4d 100644 --- a/src/materials/lsDynaKMEquivalent.cpp +++ b/src/materials/lsDynaKMEquivalent.cpp @@ -28,10 +28,12 @@ void lsDynaKMEquivalent(int e, int gp) { } if(ndim == 3) { const unsigned int pideOffset = MAXMATPARAMS*pid[e]; - double mu = properties[pideOffset + 2]; - double lambda = properties[pideOffset + 1]; - double g_1 = properties[pideOffset + 3]; - double beta_1 = properties[pideOffset + 4]; + const double mu = properties[pideOffset + 2]; + const double lambda = properties[pideOffset + 1]; + const double g_1 = properties[pideOffset + 3]; + const double beta_1 = properties[pideOffset + 4]; + + const unsigned int index = fptr[e] + ndim * ndim * gp; //From Bonet and Wood - Flagshyp //Cauchy = (mu/J)*(b - cons.I) + (lambda/J)*log(J)*cons.I; @@ -52,13 +54,16 @@ void lsDynaKMEquivalent(int e, int gp) { // Compute H H^T and add to bmI dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, H, &ndim, H, &ndim, &one, bmI, &ndim); - // Store F in H - // F = H + I - H[0] = H[0] + 1.0; - H[4] = H[4] + 1.0; - H[8] = H[8] + 1.0; + // Compute and store F = H + I + double * const F_element_gp = &(F[index]); + for (unsigned int i = 0; i < ndim2; ++i) { + F_element_gp[i] = H[i]; + } + F_element_gp[0] = F_element_gp[0] + 1.0; + F_element_gp[4] = F_element_gp[4] + 1.0; + F_element_gp[8] = F_element_gp[8] + 1.0; // J = det(F) - const double J = det3x3Matrix(H); + const double J = det3x3Matrix(F_element_gp); const double factor1 = mu/J; const double factor2 = lambda*log(J)/J; From 10ecc7d67a11e904b0ca31bfa4c953f7eeb35faa Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 3 Mar 2021 07:47:00 +0530 Subject: [PATCH 041/106] Updated MPSfile write with element volume --- examples/ex5/ex5.cpp | 26 +++++++++++++++++++------- examples/ex5/materials.dat | 22 ++++++++++------------ 2 files changed, 29 insertions(+), 19 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index b1595c65..d9ff637d 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -102,8 +102,9 @@ const std::string thresholdTag[threshQuantities] = { /* Variables for maximum Principal Strain times Strain Rate */ double *PS_Old = NULL; double *PSxSRArray = NULL; -/* Store MPS of each element */ +/* Store MPS, volume of each element */ double *elementMPS = NULL; +double *initialVolume = NULL; int nElementsInjury = 0, *elementIDInjury = NULL; // part ID to exclude from injury computation @@ -314,6 +315,7 @@ int main(int argc, char **argv) { } time_step_counter = time_step_counter + 1; dt = ExplicitTimeStepReduction * StableTimeStep(); + // FILE_LOG_MASTER(INFO, "dt = %15.6e, Time = %15.6e", dt, Time); // Barrier not a must MPI_Barrier(MPI_COMM_WORLD); @@ -360,6 +362,7 @@ int main(int argc, char **argv) { free1DArray(percentileElements[i]); } free1DArray(elementMPS); + free1DArray(initialVolume); if (rankForCustomPlot) { MPI_File_close(&outputFilePtr); @@ -1442,6 +1445,7 @@ void InitInjuryCriteria(void) { PS_Old = (double *)calloc(nElementsInjury, sizeof(double)); PSxSRArray = (double *)calloc(nElementsInjury, sizeof(double)); elementMPS = (double *)calloc(nelements, sizeof(double)); + initialVolume = (double *)calloc(nelements, sizeof(double)); // Array to output to Paraview // All threshold elements CSDM : 5, 10, 15, 30, MPSR-120, MPSxSR-28 @@ -1457,6 +1461,13 @@ void InitInjuryCriteria(void) { // Percentile Values // Write MPS-95-Value outputDoubleArray[0] = PS_Old; + + // Compute the initial volume of elements for MPS file + double volumePart[nPIDglobal]; + for (int i = 0; i < nPIDglobal; ++i) { + volumePart[i] = 0.0; + } + computePartVolume(volumePart, initialVolume); } void CalculateInjuryCriteria(void) { @@ -1718,14 +1729,15 @@ void WriteMPS(void) { } } - char s1[25*nelements] = {0}; - char s2[25] = {0}; + const unsigned int lineSize = 39; + char s2[lineSize] = {0}; + unsigned int offset = 0; + for (unsigned int i = 0; i < nelements; ++i) { - sprintf(s2, "%06d, %.9e\n", global_eid[i], elementMPS[i]); - strcat(s1, s2); + offset = (global_eid[i]-1)*lineSize; + sprintf(s2, "%06d, %14.5e, %14.5e\n", global_eid[i], elementMPS[i], initialVolume[i]); + MPI_File_write_at(mpsFilePtr, offset, s2, lineSize, MPI_CHAR, MPI_STATUS_IGNORE); } - // FILE_LOG(ERROR, "String : %s, Size : %d", s1, strlen(s1)); - MPI_File_write_ordered(mpsFilePtr, s1, strlen(s1), MPI_CHAR, MPI_STATUS_IGNORE); MPI_File_close(&mpsFilePtr); FILE_LOG_MASTER(INFO, "MPS values written to file"); diff --git a/examples/ex5/materials.dat b/examples/ex5/materials.dat index 8ce8543c..96c837b8 100644 --- a/examples/ex5/materials.dat +++ b/examples/ex5/materials.dat @@ -1,13 +1,13 @@ 0 0 1500 -1 6 1040 558.47e6 928 1.66e3 16.95 -2 6 1040 558.47e6 928 1.66e3 16.95 -3 6 1040 558.47e6 928 1.66e3 16.95 -4 6 1040 558.47e6 928 1.66e3 16.95 -5 6 1040 558.47e6 928 1.66e3 16.95 -6 6 1040 558.47e6 928 1.66e3 16.95 -7 6 1040 558.47e6 928 1.66e3 16.95 -8 6 1040 558.47e6 928 1.66e3 16.95 -9 6 1040 558.47e6 928 1.66e3 16.95 +1 5 1000 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +2 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +3 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +4 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +5 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +6 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +7 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +8 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +9 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 # form of file @@ -22,6 +22,4 @@ # mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 K k1 k2 n g1 t1 g2 # t2 .... gn tn # gi's ti's are pairs of n term Prony series -# mat ID 6 - LS-Dyna Maxwell equivalent : density(Kg/m^3) K(Pa) G_\infity(Pa) G_0(Pa) \beta(1/s) -# mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N -# mat ID 8 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M +# mat ID 6 - Viscoelastic : density(Kg/m^3) K(Pa) G_0(Pa) G_\infity(Pa) \beta(1/s) From 0b45e0efd548752ab1144632ca04b0d02f3258aa Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 18 Mar 2021 07:35:56 +0530 Subject: [PATCH 042/106] Updated dt computation, material specific wave speed --- .../Benchmarking-Parallel.cpp | 1 + examples/ex10/ex10.cpp | 1 + examples/ex11/ex11.cpp | 1 + examples/ex12/ex12.cpp | 1 + examples/ex13/ex13.cpp | 1 + examples/ex14/ex14.cpp | 1 + examples/ex15/ex15.cpp | 1 + examples/ex16/ex16.cpp | 1 + examples/ex17/ex17.cpp | 1 + examples/ex18/ex18.cpp | 1 + examples/ex5/ex5.cpp | 7 +- examples/ex7/ex7.cpp | 1 + examples/ex9/ex9.cpp | 90 ++++++++++--------- include/FemTech.h | 1 + include/GlobalVariables.h | 8 +- src/fem/AllocateArrays.cpp | 2 - src/fem/ShapeFunctions/ShapeFunctions.cpp | 38 ++++---- .../SolidMechanics/InternalForceUpdate.cpp | 2 +- .../SolidMechanics/InternalForceUpdateUL.cpp | 13 ++- .../SolidMechanics/TrussStressForceUpdate.cpp | 12 +-- src/io/input/ReadMaterials.cpp | 23 ++++- src/io/output/FreeArrays.cpp | 7 +- src/materials/CMakeLists.txt | 1 + src/materials/CalculateWaveSpeed.cpp | 85 ++++++++++++++++++ src/materials/CompressibleNeoHookean.cpp | 24 ++--- src/materials/HGOIsotropic.cpp | 25 +++--- src/materials/HGOIsotropicViscoelastic.cpp | 25 +++--- src/materials/LinearElastic.cpp | 22 ++--- src/materials/Ogden.cpp | 25 +++--- src/materials/OgdenViscoelastic.cpp | 25 +++--- src/materials/StVenantKirchhoff.cpp | 24 +++-- src/materials/lsDynaKMEquivalent.cpp | 23 +++-- src/timestep/CalculateTimeStep.cpp | 7 +- src/timestep/StableTimeStep.cpp | 10 +++ 34 files changed, 317 insertions(+), 193 deletions(-) create mode 100644 src/materials/CalculateWaveSpeed.cpp diff --git a/examples/Benchmarking-Parallel/Benchmarking-Parallel.cpp b/examples/Benchmarking-Parallel/Benchmarking-Parallel.cpp index f04a0dae..f61531fa 100644 --- a/examples/Benchmarking-Parallel/Benchmarking-Parallel.cpp +++ b/examples/Benchmarking-Parallel/Benchmarking-Parallel.cpp @@ -10,6 +10,7 @@ double Time, dt; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; bool ImplicitStatic = false; diff --git a/examples/ex10/ex10.cpp b/examples/ex10/ex10.cpp index f662483f..acb572c7 100644 --- a/examples/ex10/ex10.cpp +++ b/examples/ex10/ex10.cpp @@ -10,6 +10,7 @@ double Time, dt; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; bool ImplicitStatic = false; diff --git a/examples/ex11/ex11.cpp b/examples/ex11/ex11.cpp index 0388695b..23aaf029 100644 --- a/examples/ex11/ex11.cpp +++ b/examples/ex11/ex11.cpp @@ -9,6 +9,7 @@ double Time, dt; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; bool ImplicitStatic = false; diff --git a/examples/ex12/ex12.cpp b/examples/ex12/ex12.cpp index b1eac452..c9f61753 100644 --- a/examples/ex12/ex12.cpp +++ b/examples/ex12/ex12.cpp @@ -7,6 +7,7 @@ double Time, dt; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; bool ImplicitStatic = false; diff --git a/examples/ex13/ex13.cpp b/examples/ex13/ex13.cpp index e247145a..61c328a3 100644 --- a/examples/ex13/ex13.cpp +++ b/examples/ex13/ex13.cpp @@ -7,6 +7,7 @@ double Time, dt; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; bool ImplicitStatic = false; diff --git a/examples/ex14/ex14.cpp b/examples/ex14/ex14.cpp index 186bf61b..e81fd864 100644 --- a/examples/ex14/ex14.cpp +++ b/examples/ex14/ex14.cpp @@ -33,6 +33,7 @@ bool ImplicitDynamic = false; bool ExplicitDynamic = true; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; /* Global variables used only in this file */ diff --git a/examples/ex15/ex15.cpp b/examples/ex15/ex15.cpp index 0cc013ab..995b9c44 100644 --- a/examples/ex15/ex15.cpp +++ b/examples/ex15/ex15.cpp @@ -7,6 +7,7 @@ double Time, dt; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 1; bool ImplicitStatic = false; diff --git a/examples/ex16/ex16.cpp b/examples/ex16/ex16.cpp index 1e5ac53e..8b5ecc35 100644 --- a/examples/ex16/ex16.cpp +++ b/examples/ex16/ex16.cpp @@ -10,6 +10,7 @@ double Time, dt; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; bool ImplicitStatic = false; diff --git a/examples/ex17/ex17.cpp b/examples/ex17/ex17.cpp index d876b053..928303c2 100644 --- a/examples/ex17/ex17.cpp +++ b/examples/ex17/ex17.cpp @@ -10,6 +10,7 @@ double Time, dt; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; bool ImplicitStatic = false; diff --git a/examples/ex18/ex18.cpp b/examples/ex18/ex18.cpp index c6e90032..0a6eb64c 100644 --- a/examples/ex18/ex18.cpp +++ b/examples/ex18/ex18.cpp @@ -35,6 +35,7 @@ bool ImplicitDynamic = false; bool ExplicitDynamic = true; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; int nWriteSteps = 2000; diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index d9ff637d..08c4a378 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -31,13 +31,14 @@ void TransformMesh(const Json::Value &jsonInput); void WriteMPS(void); /* Global Variables/Parameters */ -double Time, dt; +double Time = 0.0, dt; int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; double ExplicitTimeStepReduction = 0.8; -double FailureTimeStep = 5e-8; // Set for max runtime of around 5 hrs on aws +double FailureTimeStep = 1e-8; // Set for max runtime of around 5 hrs on aws +double MaxTimeStep = 1e-5; int nPlotSteps = 50; int nWriteSteps = 2000; @@ -315,7 +316,7 @@ int main(int argc, char **argv) { } time_step_counter = time_step_counter + 1; dt = ExplicitTimeStepReduction * StableTimeStep(); - // FILE_LOG_MASTER(INFO, "dt = %15.6e, Time = %15.6e", dt, Time); + FILE_LOG_MASTER(INFO, "dt = %15.6e, Time = %15.6e", dt, Time); // Barrier not a must MPI_Barrier(MPI_COMM_WORLD); diff --git a/examples/ex7/ex7.cpp b/examples/ex7/ex7.cpp index 7b42094a..3434ebf0 100644 --- a/examples/ex7/ex7.cpp +++ b/examples/ex7/ex7.cpp @@ -10,6 +10,7 @@ double Time, dt; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; bool ImplicitStatic = false; diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index f0372ed8..cbbe1593 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -11,6 +11,7 @@ double Time, dt; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; bool ImplicitStatic = false; @@ -71,7 +72,7 @@ int main(int argc, char **argv) { dt = 0.0; double tMax = 1.00; // max simulation time in seconds - double dMax = 0.005; // max displacment in meters + double dMax = 0.007; // max displacment in meters int time_step_counter = 0; /** Central Difference Method - Beta and Gamma */ @@ -157,6 +158,7 @@ int main(int argc, char **argv) { int writeFlag = time_step_counter%nsteps_plot; CheckEnergy(Time, writeFlag); + CustomPlot(); if (writeFlag == 0) { plot_counter = plot_counter + 1; CalculateStrain(); @@ -166,7 +168,7 @@ int main(int argc, char **argv) { stepTime[plot_counter] = Time; WritePVD(outputFileName.c_str(), plot_counter); } - CustomPlot(); + // CustomPlot(); FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, "Displacement Solution"); } @@ -191,48 +193,50 @@ void ApplyBoundaryConditions(double dMax, double tMax) { int count = 0; double AppliedDisp; + AppliedDisp = Time * (dMax / tMax); + // Apply Ramped Displacment - if (ExplicitDynamic || ImplicitDynamic) { - if (Time < 0.1) { - AppliedDisp = Time * (dMax / 0.1); - } else { - if (Time < 0.2) { - AppliedDisp = dMax; - } else { - if (Time < 0.3) { - AppliedDisp = dMax - (Time-0.2)*dMax/0.1; - } else { - if (Time < 0.4) { - AppliedDisp = 0; - } else { - if (Time < 0.5) { - AppliedDisp = (Time-0.4) * (dMax / 0.1); - } else { - if (Time < 0.6) { - AppliedDisp = dMax; - } else { - if (Time < 0.7) { - AppliedDisp = dMax - (Time-0.6)*dMax/0.1; - } else { - if (Time < 0.8) { - AppliedDisp = 0; - } else { - if (Time < 0.9) { - AppliedDisp = (Time-0.8) * (dMax / 0.1); - } else { - AppliedDisp = dMax; - } - } - } - } - } - } - } - } - } - } else if (ImplicitStatic) { - AppliedDisp = dMax; - } + // if (ExplicitDynamic || ImplicitDynamic) { + // if (Time < 0.1) { + // AppliedDisp = Time * (dMax / 0.1); + // } else { + // if (Time < 0.2) { + // AppliedDisp = dMax; + // } else { + // if (Time < 0.3) { + // AppliedDisp = dMax - (Time-0.2)*dMax/0.1; + // } else { + // if (Time < 0.4) { + // AppliedDisp = 0; + // } else { + // if (Time < 0.5) { + // AppliedDisp = (Time-0.4) * (dMax / 0.1); + // } else { + // if (Time < 0.6) { + // AppliedDisp = dMax; + // } else { + // if (Time < 0.7) { + // AppliedDisp = dMax - (Time-0.6)*dMax/0.1; + // } else { + // if (Time < 0.8) { + // AppliedDisp = 0; + // } else { + // if (Time < 0.9) { + // AppliedDisp = (Time-0.8) * (dMax / 0.1); + // } else { + // AppliedDisp = dMax; + // } + // } + // } + // } + // } + // } + // } + // } + // } + // } else if (ImplicitStatic) { + // AppliedDisp = dMax; + // } int index; for (int i = 0; i < nNodes; i++) { diff --git a/include/FemTech.h b/include/FemTech.h index 74d6555a..faf14e12 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -81,6 +81,7 @@ void HGOIsotropicViscoelastic(int e, int gp); void Ogden(int e, int gp); void OgdenViscoelastic(int e, int gp); void lsDynaKMEquivalent(int e, int gp); +double CalculateWaveSpeed(const unsigned int partID); void inverse3x3Matrix(double* mat, double* invMat, double* det); double det3x3Matrix(double* mat); diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index f959a7cb..a96369f7 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -31,6 +31,7 @@ extern int ndim2; // To store ndim*ndim, a widely used constant extern double ExplicitTimeStepReduction; extern double FailureTimeStep; +extern double MaxTimeStep; extern double *coordinates; extern int *connectivity; @@ -40,7 +41,7 @@ extern int *gptr; /*gauss point pointer - helps step through shp array*/ extern int *dsptr; /*deriviative of shp functions pointer array - helps step through dshp array*/ extern int *gpPtr; /*gauss point pointer - helps step through detJ and gaussWeights*/ extern int *fptr; /*deformation gradient pointer - helps step through F array */ -extern int *pk2ptr; /*counter array for iterating through PK2 stress */ +// extern int *pk2ptr; #<{(|counter array for iterating through PK2 stress |)}># extern int *nShapeFunctions;/*number of shp functions per element */ extern double *shp; /*shape functions*/ extern double *dshp; /*derivatives of shape functions*/ @@ -85,11 +86,13 @@ extern double *accelerations_prev; /*displacements for previous step - used in e extern double *F; /* deformation graident tensor array */ extern double *detF; /*determinate of F for all gauss points */ extern double *invF; /*Inverse of F for all gauss points */ -extern double *pk2; /*PK2 Stress */ +// extern double *pk2; #<{(|PK2 Stress |)}># extern double *Eavg; /*Green Lagrange Strain Tensor Averaged */ extern int *materialID; /* material id for each element */ extern double *properties; /* holds material parameters for each element */ +extern double *waveSpeed; /* holds material wave speed for each part */ +extern bool *viscoElasticPart; extern double *internals; /* internal variables, typically used for damage or plasticity varialbes*/ extern int *InternalsPtr; /* pointer for iterating through internals array */ @@ -133,6 +136,7 @@ extern int *nProny; // Variables required for updated Lagrangian formulation extern double *F_Xi, *F_XiInverse, J_Xi; extern double *sigma_n; // To store stress in Voigot notation for updated Lagrangian +extern int *sigmaptr; /*counter array for iterating through stress */ extern double *B0; // Store dN_I/dX_j. Used for H computation // Temperory variables to test updated lagrangian // extern double *F_Xi_0; diff --git a/src/fem/AllocateArrays.cpp b/src/fem/AllocateArrays.cpp index ce80ca77..f0196c5c 100644 --- a/src/fem/AllocateArrays.cpp +++ b/src/fem/AllocateArrays.cpp @@ -28,7 +28,6 @@ FILE *energyFile; int ndim2; double *F_Xi, *F_XiInverse, J_Xi; -double *sigma_n; void AllocateArrays() { // Allocate and initialize global displacements @@ -156,6 +155,5 @@ void AllocateArrays() { /* Store variables required for updated lagrangian computation */ F_Xi = (double*)malloc(ndim2*sizeof(double)); F_XiInverse = (double*)malloc(ndim2*sizeof(double)); - sigma_n = (double*)malloc((ndim*(ndim+1)/2)*sizeof(double)); return; } diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index 0ecea9ea..5230b541 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -15,8 +15,8 @@ int *nShapeFunctions; double *F; // deformation gradient array, F double *detF; // inverse of deformation gradient array double *invF; // inverse of deformation gradient array -double *pk2; // PK2 Stress -int *pk2ptr; // pointer for iterating through PK2 stress. +double *sigma_n; // Cauchy Stress +int *sigmaptr; // pointer for iterating through Cauchy stress. int *detFptr; //pointer for iterating through detF array. int *InternalsPtr; // pointer for iteratign through internals array double *internals; /*internal variables for history dependent models */ @@ -75,7 +75,7 @@ void ShapeFunctions() { dsptr = (int *)malloc((nelements + 1) * sizeof(int)); gpPtr = (int *)malloc((nelements+1) * sizeof(int)); fptr = (int *)malloc((nelements+1) * sizeof(int)); - pk2ptr = (int *)malloc((nelements+1) * sizeof(int)); + sigmaptr = (int *)malloc((nelements+1) * sizeof(int)); detFptr = (int *)malloc((nelements+1) * sizeof(int)); InternalsPtr = (int *)malloc((nelements+1) * sizeof(int)); @@ -83,7 +83,7 @@ void ShapeFunctions() { int dshp_counter = 0; // counter for deriviatives of shp function int gpCount = 0; // counter for gaupp points int F_counter = 0; //counter for storage of deformation gradient, F - int pk2_counter = 0; //counter for storage of PK2 stress. + int cauchy_counter = 0; //counter for storage of cauchy stress. int detF_counter = 0; // counter for storage of detF for each element. int internals_counter = 0; //counter for storage of internals for each gauss point. @@ -91,7 +91,7 @@ void ShapeFunctions() { dsptr[0] = 0; gpPtr[0] = 0; fptr[0]=0; - pk2ptr[0]=0; + sigmaptr[0]=0; detFptr[0]=0; if (viscoElastic) { @@ -146,13 +146,13 @@ void ShapeFunctions() { } } - //the next counter is for the PK2 stress array - //there is a PK2 stress tensor stored at each gauss point + //the next counter is for the cauchy stress array + //there is a cauchy stress tensor stored at each gauss point //there are six values stored at each gauss point since - // PK2 stress is symmetric. + // cauchy stress is symmetric. // size would be ndim*ndim*8, but since symmetric it is only // 6 values stored for each gauss point, or 6*8 = 48 - pk2_counter += 48; + cauchy_counter += 48; // the next counter is for the detF array. This holds a detF value for each // gauss point. Since detF is a scalar value there is only 8 values per @@ -174,7 +174,7 @@ void ShapeFunctions() { // counter = counter + nShapeFunctions[i]*GaussPoints[i]; // dshp_counter = dshp_counter + (ndim * nShapeFunctions[i]*GaussPoints[i]); // F_counter = ndim*ndim*ngausspoint = 3*3*1 - //pk2_counter = 6*1 = 6 + //cauchy_counter = 6*1 = 6 counter += 4; dshp_counter += 12; F_counter += 9; @@ -190,7 +190,7 @@ void ShapeFunctions() { } } - pk2_counter += 6; // six positions for 3D, it is symmetric + cauchy_counter += 6; // six positions for 3D, it is symmetric detF_counter +=1; internals_counter += MAXINTERNALVARS * GaussPoints[i]; // gpCount = 4; @@ -205,7 +205,7 @@ void ShapeFunctions() { // counter = counter + nShapeFunctions[i]*gpCount; // dshp_counter = dshp_counter + (ndim * nShapeFunctions[i]*gpCount); // F_counter = ndim*ndim*gpCount - //pk2_counter = 6*1 = 6 + //cauchy_counter = 6*1 = 6 counter += nShapeFunctions[i]*gpCount; dshp_counter += (ndim * nShapeFunctions[i] * gpCount); F_counter += (ndim*ndim*gpCount); @@ -220,7 +220,7 @@ void ShapeFunctions() { S0n[i] = NULL; } } - pk2_counter += 6; // six positions for 3D, it is symmetric + cauchy_counter += 6; // six positions for 3D, it is symmetric detF_counter += gpCount; // detF stored only at gauss point internals_counter += MAXINTERNALVARS * GaussPoints[i]; } @@ -229,7 +229,7 @@ void ShapeFunctions() { dsptr[i + 1] = dshp_counter; gpPtr[i + 1] = gpPtr[i]+gpCount; fptr[i+1] = F_counter; - pk2ptr[i+1] = pk2_counter; + sigmaptr[i+1] = cauchy_counter; detFptr[i+1] = detF_counter; InternalsPtr[i+1]=internals_counter; } // loop on i, nelements @@ -237,9 +237,9 @@ void ShapeFunctions() { // for debugging purposes #ifdef DEBUG for (int i = 0; i < nelements; i++) { - FILE_LOG_SINGLE(DEBUGLOGIGNORE, "(e.%d) - eptr:[%d->%d] - gptr:[%d->%d] - dsptr:[%d->%d] - fptr:[%d->%d] - pk2ptr:[%d->%d]", + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "(e.%d) - eptr:[%d->%d] - gptr:[%d->%d] - dsptr:[%d->%d] - fptr:[%d->%d] - sigmaptr:[%d->%d]", i, eptr[i], eptr[i + 1], gptr[i], gptr[i + 1], dsptr[i], dsptr[i + 1], - fptr[i],fptr[i + 1],pk2ptr[i],pk2ptr[i+1]); + fptr[i],fptr[i + 1],sigmaptr[i],sigmaptr[i+1]); } FILE_LOG_SINGLE(DEBUGLOGIGNORE, "size of shp array = %d", counter); FILE_LOG_SINGLE(DEBUGLOGIGNORE, "size of derivatives of shp functions array, dshp = %d", dshp_counter); @@ -269,9 +269,9 @@ void ShapeFunctions() { detF[i] = 1.0; } internals = (double *)calloc(internals_counter, sizeof(double)); - /* size of PK2 stress is 6 values for each gauss point - the PK2 stress is symmetric */ - pk2 = (double *)calloc(pk2_counter, sizeof(double)); + /* size of cauchy stress is 6 values for each gauss point + the cauchy stress is symmetric */ + sigma_n = (double *)calloc(cauchy_counter, sizeof(double)); dshp = (double *)calloc(dshp_counter, sizeof(double)); // B0 : Store derivative of shape functions with respect to initial material // coordinates diff --git a/src/fem/SolidMechanics/InternalForceUpdate.cpp b/src/fem/SolidMechanics/InternalForceUpdate.cpp index 4e6f6cd1..75e9184c 100644 --- a/src/fem/SolidMechanics/InternalForceUpdate.cpp +++ b/src/fem/SolidMechanics/InternalForceUpdate.cpp @@ -13,7 +13,7 @@ void InternalForceUpdate(int e, int gp, double *force) { for (int k = 0; k < nNodesL; ++k) { StrainDisplacementMatrix(e, gp, k, &(B[6*ndim*k])); } - double* sigma = &(pk2[pk2ptr[e]+6*gp]); + double* sigma = &(sigma_n[sigmaptr[e]+6*gp]); // Compute B^T*sigma^n dgemv_(chy, &cSize, &bColSize, &one, B, &cSize, sigma, \ &oneI, &zero, fintGQ, &oneI); diff --git a/src/fem/SolidMechanics/InternalForceUpdateUL.cpp b/src/fem/SolidMechanics/InternalForceUpdateUL.cpp index 6ba3ff2b..85ecc132 100644 --- a/src/fem/SolidMechanics/InternalForceUpdateUL.cpp +++ b/src/fem/SolidMechanics/InternalForceUpdateUL.cpp @@ -19,10 +19,17 @@ void InternalForceUpdateUL(int e, int gp, double *force) { dshp[indexShp+1]*F_XiInverse[4] + dshp[indexShp +2]*F_XiInverse[7]; const double dN_Ibydz = dshp[indexShp]*F_XiInverse[2] + dshp[indexShp+1]*F_XiInverse[5] + dshp[indexShp +2]*F_XiInverse[8]; + // Compute f_iI = dN_I/dx_j*sigma_{ji} - const double fxI = dN_Ibydx*sigma_n[0]+dN_Ibydy*sigma_n[5]+dN_Ibydz*sigma_n[4]; - const double fyI = dN_Ibydx*sigma_n[5]+dN_Ibydy*sigma_n[1]+dN_Ibydz*sigma_n[3]; - const double fzI = dN_Ibydx*sigma_n[4]+dN_Ibydy*sigma_n[3]+dN_Ibydz*sigma_n[2]; + // Get location of Cauchy values + double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); + + const double fxI = dN_Ibydx*sigma_nLocal[0]+\ + dN_Ibydy*sigma_nLocal[5]+dN_Ibydz*sigma_nLocal[4]; + const double fyI = dN_Ibydx*sigma_nLocal[5]+\ + dN_Ibydy*sigma_nLocal[1]+dN_Ibydz*sigma_nLocal[3]; + const double fzI = dN_Ibydx*sigma_nLocal[4]+\ + dN_Ibydy*sigma_nLocal[3]+dN_Ibydz*sigma_nLocal[2]; const unsigned int forceIndex = I*ndim; // Add to fint force[forceIndex] += preFactor*fxI; diff --git a/src/fem/SolidMechanics/TrussStressForceUpdate.cpp b/src/fem/SolidMechanics/TrussStressForceUpdate.cpp index 646424bf..7bb1129f 100644 --- a/src/fem/SolidMechanics/TrussStressForceUpdate.cpp +++ b/src/fem/SolidMechanics/TrussStressForceUpdate.cpp @@ -82,17 +82,17 @@ void TrussStressForceUpdate(int e, int gp, double *force){ // 6 values saved per gauss point for 3d // in voigt notation, sigma11 - pk2[pk2ptr[e] + 6 * gp + 0] = cauchystress; + sigma_n[sigmaptr[e] + 6 * gp + 0] = cauchystress; // in voigt notation, sigma22 - pk2[pk2ptr[e] + 6 * gp + 1] = 0; + sigma_n[sigmaptr[e] + 6 * gp + 1] = 0; // in voigt notation, sigma33 - pk2[pk2ptr[e] + 6 * gp + 2] = 0; + sigma_n[sigmaptr[e] + 6 * gp + 2] = 0; // in voigt notation, sigma23 - pk2[pk2ptr[e] + 6 * gp + 3] = 0; + sigma_n[sigmaptr[e] + 6 * gp + 3] = 0; // in voigt notation, sigma13 - pk2[pk2ptr[e] + 6 * gp + 4] = 0; + sigma_n[sigmaptr[e] + 6 * gp + 4] = 0; // in voigt notation, sigma12 - pk2[pk2ptr[e] + 6 * gp + 5] = 0; + sigma_n[sigmaptr[e] + 6 * gp + 5] = 0; force[0] = truss_axial_force; force[1] = 0.0; diff --git a/src/io/input/ReadMaterials.cpp b/src/io/input/ReadMaterials.cpp index 06679e50..ee606390 100644 --- a/src/io/input/ReadMaterials.cpp +++ b/src/io/input/ReadMaterials.cpp @@ -4,6 +4,8 @@ int *materialID; double *properties; +double *waveSpeed; +bool *viscoElasticPart; void ReadMaterials() { /* Function to be called only after reading the mesh */ @@ -32,6 +34,7 @@ void ReadMaterials() { FILE_LOG_SINGLE(ERROR, "Error in allocating properties array"); TerminateFemTech(12); } + viscoElasticPart=(bool*)malloc(nPIDglobal*sizeof(bool)); for (int i = 0; i < nPIDglobal; i++) { int count; @@ -47,6 +50,7 @@ void ReadMaterials() { // properties[0] = density count = fscanf(File, "%lf", &properties[index + 0]); assert(count == 1); + viscoElasticPart[partID] = false; break; case 1 ://Compressible Neohookean // properties[0] = density @@ -55,6 +59,7 @@ void ReadMaterials() { count = fscanf(File, "%lf %lf %lf", &properties[index + 0], &properties[index + 1], &properties[index + 2]); assert(count == 3); + viscoElasticPart[partID] = false; // FILE_LOG_SINGLE(DEBUGLOG, "Part %d Compressible NeoHookean properties (rho, mu, " // "lambda) = %3.3f %3.3f %3.3f\n", // partID, properties[index + 0], properties[index + 1], @@ -66,6 +71,7 @@ void ReadMaterials() { // properties[2] = lambda count = fscanf(File, "%lf %lf %lf", &properties[index + 0], &properties[index + 1], &properties[index + 2]); + viscoElasticPart[partID] = false; assert(count == 3); // FILE_LOG_SINGLE(DEBUGLOG, "element %d St. Venant-Kirchhoff properties (rho, mu, lambda) = " // "%3.3f %3.3f %3.3f\n", @@ -78,6 +84,7 @@ void ReadMaterials() { // properties[2] = lambda count = fscanf(File, "%lf %lf %lf", &properties[index + 0], &properties[index + 1], &properties[index + 2]); + viscoElasticPart[partID] = false; assert(count == 3); // FILE_LOG_SINGLE(DEBUGLOG, "element %d Linear Elastic properties (rho, mu, lambda) = " // "%3.3f %3.3f %3.3f\n", @@ -93,6 +100,7 @@ void ReadMaterials() { count = fscanf(File, "%lf %lf %lf %lf %lf", &properties[index + 0], &properties[index + 1], &properties[index + 2], &properties[index + 3], &properties[index + 4]); + viscoElasticPart[partID] = false; assert(count == 5); // FILE_LOG_SINGLE(DEBUGLOG, "Part %d HGO properties (rho, mu, lambda, k1, k2) = " // "%3.3f %3.3f %3.3f %3.3f %3.3f\n", @@ -122,6 +130,7 @@ void ReadMaterials() { &properties[index + 7 + 2*j]); assert(count == 2); } + viscoElasticPart[partID] = true; // FILE_LOG_SINGLE(WARNING, "Part %d HGO properties (rho, mu, K, k1, k2, n) = " // "%3.3f %3.3f %3.3f %3.3f %3.3f %3.3f\n", // partID, properties[index + 0], properties[index + 1], @@ -141,11 +150,12 @@ void ReadMaterials() { // Convert G_0 to prony series equivalent g_1 : // g_1 = (G_0 - / G_\infity)/G_\infity = (G_0/G_\infity -1 ) // Store in properties[3] - properties[3] = properties[3]/properties[2] - 1.0; + properties[index+3] = properties[index+3]/properties[index+2] - 1.0; // Convert properties[1], K to \lambda // \lambda = K - 2G/3 - properties[1] = properties[1] - 2.0*properties[2]/3.0; - // FILE_LOG_SINGLE(DEBUGLOG, "Part %d Viscoelastic properties (rho, K, G_0, G_infinity, beta) = " + properties[index+1] = properties[index+1] - 2.0*properties[index+2]/3.0; + viscoElasticPart[partID] = true; + // FILE_LOG_SINGLE(WARNING, "Part %d Viscoelastic properties (rho, K, G_0, G_infinity, beta) = " // "%3.3f %3.3f %3.3f %3.3f %3.3f\n", // partID, properties[index + 0], properties[index + 1], // properties[index + 2], properties[index + 3], properties[index + 4]); @@ -169,6 +179,7 @@ void ReadMaterials() { &properties[index + 4 + 2*j]); assert(count == 2); } + viscoElasticPart[partID] = false; break; case 8 :// Ogden Viscoelastic model with max N = 3, max N Prony = 6 /* \rho = properties(0) @@ -202,6 +213,7 @@ void ReadMaterials() { &properties[index + 5 + 2*nTerms + 2*j]); assert(count == 2); } + viscoElasticPart[partID] = true; break; default :FILE_LOG_SINGLE(ERROR, "Material ID for Part %d not found", partID); TerminateFemTech(3); @@ -217,5 +229,10 @@ void ReadMaterials() { } } free(checkFullRead); + // Compute wave speeds and store for all materials + waveSpeed = (double*)malloc(nPIDglobal*sizeof(double)); + for (int i = 0; i < nPIDglobal; ++i) { + waveSpeed[i] = CalculateWaveSpeed(i); + } return; } diff --git a/src/io/output/FreeArrays.cpp b/src/io/output/FreeArrays.cpp index 71b18c98..d4f6c7b1 100644 --- a/src/io/output/FreeArrays.cpp +++ b/src/io/output/FreeArrays.cpp @@ -36,10 +36,12 @@ void FreeArrays() { free1DArray(f_damp_curr); free1DArray(displacements_prev); free1DArray(F); - free1DArray(pk2); - free1DArray(pk2ptr); + // free1DArray(pk2); + // free1DArray(pk2ptr); free1DArray(materialID); free1DArray(properties); + free1DArray(waveSpeed); + free1DArray(viscoElasticPart); free1DArray(detF); free1DArray(invF); free1DArray(Eavg); @@ -90,6 +92,7 @@ void FreeArrays() { free1DArray(F_Xi); free1DArray(F_XiInverse); free1DArray(sigma_n); + free1DArray(sigmaptr); free1DArray(B0); // Temperory test variables // free1DArray(F_Xi_0); diff --git a/src/materials/CMakeLists.txt b/src/materials/CMakeLists.txt index d81994ab..89d144e2 100644 --- a/src/materials/CMakeLists.txt +++ b/src/materials/CMakeLists.txt @@ -8,6 +8,7 @@ Set(materials_src Ogden.cpp OgdenViscoelastic.cpp lsDynaKMEquivalent.cpp + CalculateWaveSpeed.cpp ) add_library(materials OBJECT ${materials_src}) diff --git a/src/materials/CalculateWaveSpeed.cpp b/src/materials/CalculateWaveSpeed.cpp new file mode 100644 index 00000000..afcb5904 --- /dev/null +++ b/src/materials/CalculateWaveSpeed.cpp @@ -0,0 +1,85 @@ +#include "FemTech.h" + +#include + +double CalculateWaveSpeed(const unsigned int partID) { + double E = 0.0; + double *partProperties = &(properties[partID*MAXMATPARAMS]); + const double rho = partProperties[0]; + const unsigned int matID = materialID[partID]; + + // Variables required inside switch + double lambda, mu, K, muI, viscoEffect; + unsigned int nTerm, nPronyL; + switch (matID) { + case 0 : // Rigid-body motion + break; + case 1 : //Compressible Neohookean + case 2 : // St. Venant-Kirchhoff + case 3 : // Linear Elastic + case 4 : // HGO with isotropic fiber distribution + lambda = partProperties[2]; + mu = partProperties[1]; + E = mu*(3.0*lambda+2.0*mu)/(lambda+mu); + break; + case 5 : // HGO with isotropic fiber distribution and viscoelasticity + lambda = partProperties[2]; + muI = partProperties[1]; + nPronyL = static_cast(partProperties[5]); + viscoEffect = 1.0; + for (int i = 0; i < nPronyL; ++i) { + const double gi = partProperties[6+2*i]; + const double taui = partProperties[7+2*i]; + viscoEffect = viscoEffect + gi*exp(-Time/taui); + } + mu = muI * viscoEffect; + // Compute E, using mu and lambda + E = mu*(3.0*lambda+2.0*mu)/(lambda+mu); + break; + case 6 : // LS-Dyna Maxwell viscoelastic material equivalent + // lsDynaKMEquivalent(e, gp); + lambda = partProperties[1]; + muI = partProperties[2]; + viscoEffect = 1.0 + partProperties[3]*exp(-Time*properties[4]); + mu = muI *viscoEffect; + // Compute E, using mu and lambda + E = mu*(3.0*lambda+2.0*mu)/(lambda+mu); + break; + case 7 : // Ogden + K = partProperties[1]; + nTerm = static_cast(partProperties[2]); + mu = 0.0; + for (int i = 0; i < nTerm; ++i) { + mu = mu + partProperties[3+2*i]*partProperties[4+2*i]; + } + mu = 0.5*mu; + E = 9.0*K*mu/(3.0*K+mu); + break; + case 8 : // Ogden Viscoelastic + K = partProperties[1]; + // Compute mu_\infty = 0.5*\Sigma alpha_i mu_i + nTerm = static_cast(partProperties[2]); + muI = 0.0; + for (int i = 0; i < nTerm; ++i) { + muI = muI + partProperties[3+2*i]*partProperties[4+2*i]; + } + muI = 0.5*muI; + // Compute mu = mu_\infity*(1+\Sigmag_i*exp(-t/tau_i) + nPronyL = static_cast(partProperties[3+2*nTerm]); + viscoEffect = 1.0; + for (int i = 0; i < nPronyL; ++i) { + const double gi = partProperties[4+2*(i+nTerm)]; + const double taui = partProperties[5+2*(i+nTerm)]; + viscoEffect = viscoEffect + gi*exp(-Time/taui); + } + mu = muI * viscoEffect; + // Compute E, using mu and K + E = 9.0*K*mu/(3.0*K+mu); + break; + default : FILE_LOG_SINGLE(ERROR, "Unknown material type in wave speed computation"); + TerminateFemTech(1); + } + const double ce = sqrt(E/rho); + // FILE_LOG_SINGLE(WARNING, "Part : %d, Material type, %d with wave speed %15.9f", partID, matID, ce); + return ce; +} diff --git a/src/materials/CompressibleNeoHookean.cpp b/src/materials/CompressibleNeoHookean.cpp index 50624edc..646e73f5 100644 --- a/src/materials/CompressibleNeoHookean.cpp +++ b/src/materials/CompressibleNeoHookean.cpp @@ -2,15 +2,9 @@ #include "blas.h" // plane strain or three-dimensional compressible neo-Hookean -// Evaluates the PK2 stress tensor +// Evaluates the Cauchy stress tensor void CompressibleNeoHookean(int e, int gp){ - if(ndim == 2){ - // 6 values saved per gauss point for 3d - for(int i=0;i<3;i++){ - int index = pk2[e]+3*gp+i; - } - } if(ndim == 3){ int pide = pid[e]; double mu = properties[MAXMATPARAMS * pide + 1]; @@ -20,8 +14,6 @@ void CompressibleNeoHookean(int e, int gp){ //From Bonet and Wood - Flagshyp //mu = properties(2); //lambda = properties(3); - //J = kinematics.J; - //b = kinematics.b; //Cauchy = (mu/J)*(b - cons.I) + (lambda/J)*log(J)*cons.I; //C = F^T F // Bonet and Wood Equation 5.28 @@ -62,19 +54,21 @@ void CompressibleNeoHookean(int e, int gp){ sigma_e[4] = sigma_e[4] + factor2; sigma_e[8] = sigma_e[8] + factor2; + // Get location of array to store Cauchy values + double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); // 6 values saved per gauss point for 3d // in voigt notation, sigma11 - sigma_n[0] = sigma_e[0]; + sigma_nLocal[0] = sigma_e[0]; // in voigt notation, sigma22 - sigma_n[1] = sigma_e[4]; + sigma_nLocal[1] = sigma_e[4]; // in voigt notation, sigma33 - sigma_n[2] = sigma_e[8]; + sigma_nLocal[2] = sigma_e[8]; // in voigt notation, sigma23 - sigma_n[3] = sigma_e[7]; + sigma_nLocal[3] = sigma_e[7]; // in voigt notation, sigma13 - sigma_n[4] = sigma_e[6]; + sigma_nLocal[4] = sigma_e[6]; // in voigt notation, sigma12 - sigma_n[5] = sigma_e[3]; + sigma_nLocal[5] = sigma_e[3]; } return; } diff --git a/src/materials/HGOIsotropic.cpp b/src/materials/HGOIsotropic.cpp index 159b5ca9..083fe3f1 100644 --- a/src/materials/HGOIsotropic.cpp +++ b/src/materials/HGOIsotropic.cpp @@ -89,27 +89,28 @@ void HGOIsotropic(int e, int gp) { dgemm_(chn, chy, &ndim, &ndim, &ndim, &J, STemp, &ndim, fInv, &ndim, &zero, S, &ndim); - // Get location of array to store PK2 values - double * pk2Local = &(pk2[pk2ptr[e]+6*gp]); - // 6 values saved per gauss point for 3d - // in voigt notation, sigma11 - pk2Local[0] = S[0]; + // TODO (NEED UPDATE from PK2 to Cauchy) + // Get location of array to store Cauchy values + double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); + // 6 values saved per gauss point for 3d + // in voigt notation, sigma11 + sigma_nLocal[0] = S[0]; // in voigt notation, sigma22 - pk2Local[1] = S[4]; + sigma_nLocal[1] = S[4]; // in voigt notation, sigma33 - pk2Local[2] = S[8]; + sigma_nLocal[2] = S[8]; // in voigt notation, sigma23 - pk2Local[3] = S[7]; + sigma_nLocal[3] = S[7]; // in voigt notation, sigma13 - pk2Local[4] = S[6]; + sigma_nLocal[4] = S[6]; // in voigt notation, sigma12 - pk2Local[5] = S[3]; + sigma_nLocal[5] = S[3]; #ifdef DEBUG FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); for(int i=0;i<6;i++){ - int indexD = pk2ptr[e]+6*gp+i; - FILE_LOG_SINGLE(DEBUGLOGIGNORE, "PK2[%d] = %10.6e", indexD, pk2[indexD]); + int indexD = sigmaptr[e]+6*gp+i; + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Sigma[%d] = %10.6e", indexD, sigma_n[indexD]); } #endif //DEBUG } diff --git a/src/materials/HGOIsotropicViscoelastic.cpp b/src/materials/HGOIsotropicViscoelastic.cpp index bd2edf0e..e95b1b22 100644 --- a/src/materials/HGOIsotropicViscoelastic.cpp +++ b/src/materials/HGOIsotropicViscoelastic.cpp @@ -139,21 +139,22 @@ void HGOIsotropicViscoelastic(int e, int gp) { } } - // Get location of array to store PK2 values - double * pk2Local = &(pk2[pk2ptr[e]+6*gp]); - // 6 values saved per gauss point for 3d - // in voigt notation, sigma11 - pk2Local[0] = S[0]; + // TODO (NEED UPDATE from PK2 to Cauchy) + // Get location of array to store Cauchy values + double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); + // 6 values saved per gauss point for 3d + // in voigt notation, sigma11 + sigma_nLocal[0] = S[0]; // in voigt notation, sigma22 - pk2Local[1] = S[4]; + sigma_nLocal[1] = S[4]; // in voigt notation, sigma33 - pk2Local[2] = S[8]; + sigma_nLocal[2] = S[8]; // in voigt notation, sigma23 - pk2Local[3] = S[7]; + sigma_nLocal[3] = S[7]; // in voigt notation, sigma13 - pk2Local[4] = S[6]; + sigma_nLocal[4] = S[6]; // in voigt notation, sigma12 - pk2Local[5] = S[3]; + sigma_nLocal[5] = S[3]; // Update deviatoric part of S_0 for next time step for (int i = 0; i < matSize; ++i) { @@ -165,8 +166,8 @@ void HGOIsotropicViscoelastic(int e, int gp) { #ifdef DEBUG FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); for(int i=0;i<6;i++){ - int indexD = pk2ptr[e]+6*gp+i; - FILE_LOG_SINGLE(DEBUGLOGIGNORE, "PK2[%d] = %10.6e", indexD, pk2[indexD]); + int indexD = sigmaptr[e]+6*gp+i; + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Sigma[%d] = %10.6e", indexD, sigma_n[indexD]); } #endif //DEBUG } diff --git a/src/materials/LinearElastic.cpp b/src/materials/LinearElastic.cpp index 24a9b4bb..8f8d23c2 100644 --- a/src/materials/LinearElastic.cpp +++ b/src/materials/LinearElastic.cpp @@ -2,15 +2,9 @@ #include "blas.h" // plane strain or three-dimensional Linear Elastic Material -// Evaluates the PK2 stress tensor +// Evaluates the Cauchy stress tensor void LinearElastic(int e, int gp) { - if(ndim == 2){ - // 6 values saved per gauss point for 3d - for(int i=0;i<3;i++){ - int index = pk2ptr[e]+3*gp+i; - } - } if(ndim == 3){ int pide = pid[e]; double mu = properties[MAXMATPARAMS * pide + 1]; @@ -52,19 +46,21 @@ void LinearElastic(int e, int gp) { F_element_gp[4] = F_element_gp[4] + 1.0; F_element_gp[8] = F_element_gp[8] + 1.0; + // Get location of array to store Cauchy values + double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); // 6 values saved per gauss point for 3d // in voigt notation, sigma11 - sigma_n[0] = sigma_e[0]; + sigma_nLocal[0] = sigma_e[0]; // in voigt notation, sigma22 - sigma_n[1] = sigma_e[4]; + sigma_nLocal[1] = sigma_e[4]; // in voigt notation, sigma33 - sigma_n[2] = sigma_e[8]; + sigma_nLocal[2] = sigma_e[8]; // in voigt notation, sigma23 - sigma_n[3] = sigma_e[7]; + sigma_nLocal[3] = sigma_e[7]; // in voigt notation, sigma13 - sigma_n[4] = sigma_e[6]; + sigma_nLocal[4] = sigma_e[6]; // in voigt notation, sigma12 - sigma_n[5] = sigma_e[3]; + sigma_nLocal[5] = sigma_e[3]; } return; } diff --git a/src/materials/Ogden.cpp b/src/materials/Ogden.cpp index 506dd4b8..bc665278 100644 --- a/src/materials/Ogden.cpp +++ b/src/materials/Ogden.cpp @@ -82,27 +82,28 @@ void Ogden(int e, int gp) { dyadic(&basisVec[3*i], preFactor, S); } - // Get location of array to store PK2 values - double * pk2Local = &(pk2[pk2ptr[e]+6*gp]); - // 6 values saved per gauss point for 3d - // in voigt notation, sigma11 - pk2Local[0] = S[0]; + // TODO (NEED UPDATE from PK2 to Cauchy) + // Get location of array to store Cauchy values + double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); + // 6 values saved per gauss point for 3d + // in voigt notation, sigma11 + sigma_nLocal[0] = S[0]; // in voigt notation, sigma22 - pk2Local[1] = S[4]; + sigma_nLocal[1] = S[4]; // in voigt notation, sigma33 - pk2Local[2] = S[8]; + sigma_nLocal[2] = S[8]; // in voigt notation, sigma23 - pk2Local[3] = S[7]; + sigma_nLocal[3] = S[7]; // in voigt notation, sigma13 - pk2Local[4] = S[6]; + sigma_nLocal[4] = S[6]; // in voigt notation, sigma12 - pk2Local[5] = S[3]; + sigma_nLocal[5] = S[3]; #ifdef DEBUG FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); for(int i=0;i<6;i++){ - int indexD = pk2ptr[e]+6*gp+i; - FILE_LOG_SINGLE(DEBUGLOGIGNORE, "PK2[%d] = %10.6e", indexD, pk2[indexD]); + int indexD = sigmaptr[e]+6*gp+i; + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Sigma[%d] = %10.6e", indexD, sigma_n[indexD]); } #endif //DEBUG } diff --git a/src/materials/OgdenViscoelastic.cpp b/src/materials/OgdenViscoelastic.cpp index 2c6fecfd..dda28480 100644 --- a/src/materials/OgdenViscoelastic.cpp +++ b/src/materials/OgdenViscoelastic.cpp @@ -137,21 +137,22 @@ void OgdenViscoelastic(int e, int gp) { } // FILE_LOGMatrix(WARNING, S, ndim, ndim, "S Visco mat\n"); - // Get location of array to store PK2 values - double * pk2Local = &(pk2[pk2ptr[e]+6*gp]); - // 6 values saved per gauss point for 3d - // in voigt notation, sigma11 - pk2Local[0] = S[0]; + // TODO (NEED UPDATE from PK2 to Cauchy) + // Get location of array to store Cauchy values + double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); + // 6 values saved per gauss point for 3d + // in voigt notation, sigma11 + sigma_nLocal[0] = S[0]; // in voigt notation, sigma22 - pk2Local[1] = S[4]; + sigma_nLocal[1] = S[4]; // in voigt notation, sigma33 - pk2Local[2] = S[8]; + sigma_nLocal[2] = S[8]; // in voigt notation, sigma23 - pk2Local[3] = S[7]; + sigma_nLocal[3] = S[7]; // in voigt notation, sigma13 - pk2Local[4] = S[6]; + sigma_nLocal[4] = S[6]; // in voigt notation, sigma12 - pk2Local[5] = S[3]; + sigma_nLocal[5] = S[3]; // Update deviatoric part of S_0 for next time step for (int i = 0; i < matSize; ++i) { @@ -163,8 +164,8 @@ void OgdenViscoelastic(int e, int gp) { #ifdef DEBUG FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); for(int i=0;i<6;i++){ - int indexD = pk2ptr[e]+6*gp+i; - FILE_LOG_SINGLE(DEBUGLOGIGNORE, "PK2[%d] = %10.6e", indexD, pk2[indexD]); + int indexD = sigmaptr[e]+6*gp+i; + FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Sigma[%d] = %10.6e", indexD, sigma_n[indexD]); } #endif //DEBUG } diff --git a/src/materials/StVenantKirchhoff.cpp b/src/materials/StVenantKirchhoff.cpp index 8402e0bc..8e2eaaef 100644 --- a/src/materials/StVenantKirchhoff.cpp +++ b/src/materials/StVenantKirchhoff.cpp @@ -5,12 +5,6 @@ // Evaluates the PK2 stress tensor void StVenantKirchhoff(int e, int gp) { - if (ndim == 2) { - // 6 values saved per gauss point for 3d - for (int i = 0; i < 3; i++) { - int index = pk2ptr[e] + 3 * gp + i; - } - } if (ndim == 3) { int pide = pid[e]; double mu = properties[MAXMATPARAMS * pide + 1]; @@ -63,19 +57,21 @@ void StVenantKirchhoff(int e, int gp) { dgemm_(chn, chy, &ndim, &ndim, &ndim, &Jinv, sigmaTemp, &ndim, H, &ndim, &zero, sigma, &ndim); - // 6 values saved per gauss point for 3d - // in voigt notation, sigma11 - sigma_n[0] = sigma[0]; + // Get location of array to store Cauchy values + double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); + // 6 values saved per gauss point for 3d + // in voigt notation, sigma11 + sigma_nLocal[0] = sigma[0]; // in voigt notation, sigma22 - sigma_n[1] = sigma[4]; + sigma_nLocal[1] = sigma[4]; // in voigt notation, sigma33 - sigma_n[2] = sigma[8]; + sigma_nLocal[2] = sigma[8]; // in voigt notation, sigma23 - sigma_n[3] = sigma[7]; + sigma_nLocal[3] = sigma[7]; // in voigt notation, sigma13 - sigma_n[4] = sigma[6]; + sigma_nLocal[4] = sigma[6]; // in voigt notation, sigma12 - sigma_n[5] = sigma[3]; + sigma_nLocal[5] = sigma[3]; } // if ndim == 3 return; } diff --git a/src/materials/lsDynaKMEquivalent.cpp b/src/materials/lsDynaKMEquivalent.cpp index 10beea4d..5fbb66aa 100644 --- a/src/materials/lsDynaKMEquivalent.cpp +++ b/src/materials/lsDynaKMEquivalent.cpp @@ -20,12 +20,6 @@ * */ void lsDynaKMEquivalent(int e, int gp) { - if(ndim == 2) { - // 6 values saved per gauss point for 3d - for(int i=0;i<3;i++){ - int index = pk2[e]+3*gp+i; - } - } if(ndim == 3) { const unsigned int pideOffset = MAXMATPARAMS*pid[e]; const double mu = properties[pideOffset + 2]; @@ -65,7 +59,8 @@ void lsDynaKMEquivalent(int e, int gp) { // J = det(F) const double J = det3x3Matrix(F_element_gp); const double factor1 = mu/J; - const double factor2 = lambda*log(J)/J; + // const double factor2 = lambda*log(J)/J; + const double factor2 = 0; double *sigma_e = mat3; for (unsigned int i = 0; i < ndim2; ++i) { @@ -103,19 +98,21 @@ void lsDynaKMEquivalent(int e, int gp) { sigma_e[j] = sigma_e[j] + HnI[j]; } + // Get location of array to store Cauchy values + double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); // 6 values saved per gauss point for 3d // in voigt notation, sigma11 - sigma_n[0] = sigma_e[0]; + sigma_nLocal[0] = sigma_e[0]; // in voigt notation, sigma22 - sigma_n[1] = sigma_e[4]; + sigma_nLocal[1] = sigma_e[4]; // in voigt notation, sigma33 - sigma_n[2] = sigma_e[8]; + sigma_nLocal[2] = sigma_e[8]; // in voigt notation, sigma23 - sigma_n[3] = sigma_e[7]; + sigma_nLocal[3] = sigma_e[7]; // in voigt notation, sigma13 - sigma_n[4] = sigma_e[6]; + sigma_nLocal[4] = sigma_e[6]; // in voigt notation, sigma12 - sigma_n[5] = sigma_e[3]; + sigma_nLocal[5] = sigma_e[3]; // Update deviatoric part of S_0 for next time step for (int i = 0; i < ndim2; ++i) { diff --git a/src/timestep/CalculateTimeStep.cpp b/src/timestep/CalculateTimeStep.cpp index a76be4a8..d764dbd9 100644 --- a/src/timestep/CalculateTimeStep.cpp +++ b/src/timestep/CalculateTimeStep.cpp @@ -10,12 +10,7 @@ double CalculateTimeStep(int e) { double le = CalculateCharacteristicLength(e); //wave speed of material int pide = pid[e]; - double mu = properties[MAXMATPARAMS * pide + 1]; - double lambda = properties[MAXMATPARAMS * pide + 2]; - double rho = properties[MAXMATPARAMS * pide + 0]; - double nu = 0.5*lambda/(lambda+mu); - // ce calculated using dilatatoin wave speed - double ce = sqrt(lambda*(1.0/nu-1.0)/rho); + double ce = waveSpeed[pide]; dtElem = le/ce; return dtElem; } diff --git a/src/timestep/StableTimeStep.cpp b/src/timestep/StableTimeStep.cpp index 13f654b1..46279da8 100644 --- a/src/timestep/StableTimeStep.cpp +++ b/src/timestep/StableTimeStep.cpp @@ -7,6 +7,13 @@ double StableTimeStep() { bool isNotRigid; // int minElementID; // int elemSkipped = 0; + + // Update wave speed of viscoelastic parts + for (int i = 0; i < nPIDglobal; ++i) { + if(viscoElasticPart[i]) { + waveSpeed[i] = CalculateWaveSpeed(i); + } + } for(int i=0;i MaxTimeStep){ + dtMin = MaxTimeStep; + } return dtMin; } From 407d15e4f0be9a78277e2f4041bd11756b6e0627 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 27 Mar 2021 15:00:39 +0530 Subject: [PATCH 043/106] Stress output in ex9 --- examples/ex9/ex9.cpp | 75 ++++++++++++------- include/FemTech.h | 3 +- src/elements/CMakeLists.txt | 1 + .../CalculateElementStress.cpp | 17 +++++ src/fem/SolidMechanics/CheckEnergy.cpp | 4 +- src/materials/CompressibleNeoHookean.cpp | 23 +++--- 6 files changed, 82 insertions(+), 41 deletions(-) create mode 100644 src/elements/ElementCalculations/CalculateElementStress.cpp diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 241cd9d4..e79e9eef 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -9,11 +9,11 @@ void CustomPlot(); double Time, dt; int nSteps; -double ExplicitTimeStepReduction = 0.8; +double ExplicitTimeStepReduction = 0.6; double FailureTimeStep = 1e-11; -double MaxTimeStep = 1e-5; +double MaxTimeStep = 1e-1; -int nPlotSteps = 50; +int nPlotSteps = 1000; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; @@ -71,14 +71,13 @@ int main(int argc, char **argv) { // Dynamic Explcit solution using.... dt = 0.0; - double tMax = 1.00; // max simulation time in seconds - double dMax = 0.005; // max displacment in meters + double tMax = 1.00; // max simulation time in seconds + double dMax = 0.007; // max displacment in meters int time_step_counter = 0; /** Central Difference Method - Beta and Gamma */ // double beta = 0; // double gamma = 0.5; - ShapeFunctions(); /* Step-1: Calculate the mass matrix similar to that of belytschko. */ AssembleLumpedMass(); @@ -95,23 +94,36 @@ int main(int argc, char **argv) { CalculateAccelerations(); nSteps = (int)(tMax / dt); + double dtPlot = tMax/double(nPlotSteps); + double nextPlotTime = dtPlot; int nsteps_plot = (int)(nSteps / nPlotSteps); - FILE_LOG_MASTER(INFO, "initial dt = %3.3e, nSteps = %d, nsteps_plot = %d", dt, nSteps, - nsteps_plot); - + FILE_LOG_MASTER(INFO, "initial dt = %3.3e, nSteps = %d, nsteps_plot = %d", + dt, nSteps, nsteps_plot); time_step_counter = time_step_counter + 1; double t_n = 0.0; - FILE_LOG_MASTER(INFO, "------------------------------- Loop ----------------------------"); + FILE_LOG_MASTER(INFO, + "------------------------------- Loop ----------------------------"); FILE_LOG_MASTER(INFO, "Time : %15.6e, tmax : %15.6e", Time, tMax); + bool writeFlag = false; + /* Step-4: Time loop starts....*/ while (Time < tMax) { t_n = Time; double t_np1 = Time + dt; + if (t_np1 > nextPlotTime) { + // Adjust dt to plot at specific time steps + t_np1 = nextPlotTime; + dt = nextPlotTime - Time; + // Update next plot time step + nextPlotTime = nextPlotTime + dtPlot; + writeFlag = true; + } Time = t_np1; /*Update the time by adding full time step */ - FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, tMax); + FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, + tMax); double dt_nphalf = dt; // equ 6.2.1 double t_nphalf = 0.5 * (t_np1 + t_n); // equ 6.2.1 @@ -155,11 +167,11 @@ int main(int argc, char **argv) { } /** Step - 11 Checking* Energy Balance */ - int writeFlag = time_step_counter%nsteps_plot; CheckEnergy(Time, writeFlag); - - CustomPlot(); - if (writeFlag == 0) { + + // int writeFlag = time_step_counter % nsteps_plot; + if (writeFlag) { + CustomPlot(); plot_counter = plot_counter + 1; CalculateStrain(); FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); @@ -168,9 +180,10 @@ int main(int argc, char **argv) { stepTime[plot_counter] = Time; WritePVD(outputFileName.c_str(), plot_counter); } - // CustomPlot(); - FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, "Displacement Solution"); + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Displacement Solution"); + writeFlag = false; } time_step_counter = time_step_counter + 1; dt = ExplicitTimeStepReduction * StableTimeStep(); @@ -180,9 +193,10 @@ int main(int argc, char **argv) { FILE_LOG_MASTER(INFO, "End of Iterative Loop"); // Write out the last time step - CustomPlot(); + // CustomPlot(); } // end if ExplicitDynamic - FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, "Final Displacement Solution"); + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Final Displacement Solution"); FinalizeFemTech(); return 0; @@ -280,12 +294,13 @@ void ApplyBoundaryConditions(double dMax, double tMax) { // CalculateDisplacement to get current increment out // displacment to be applied. displacements[index] = AppliedDisp; - velocities[index] = dMax/tMax; + velocities[index] = dMax / tMax; // For energy computations accelerations[index] = 0.0; } } - FILE_LOG_MASTER(INFO, "Time = %10.5E, Applied Disp = %10.5E",Time, AppliedDisp); + FILE_LOG_MASTER(INFO, "Time = %10.5E, Applied Disp = %10.5E", Time, + AppliedDisp); return; } @@ -299,9 +314,11 @@ void CustomPlot() { if (fabs(Time - 0.0) < 1e-16) { datFile = fopen("plot.dat", "w"); fprintf(datFile, "# Results for Node ?\n"); - fprintf(datFile, "# Time DispX DispY DispZ\n"); - fprintf(datFile, "%11.5e %11.5e %11.5e %11.5e\n", 0.0, 0.0, 0.0, 0.0); - + fprintf(datFile, "# Time DispX DispY DispZ SigmaXX SigmaYY SigmaZZ " + "SigmaXY Sigma XZ SigmaYZ\n"); + fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e %13.5e " + "%13.5e %13.5e %13.5e\n", + 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0); } else { datFile = fopen("plot.dat", "a"); for (int i = 0; i < nNodes; i++) { @@ -309,13 +326,19 @@ void CustomPlot() { fabs(coordinates[ndim * i + y] - 0.005) < tol && fabs(coordinates[ndim * i + z] - 0.005) < tol) { - fprintf(datFile, "%11.5e %11.5e %11.5e %11.5e\n", Time, + fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e ", Time, displacements[ndim * i + x], displacements[ndim * i + y], displacements[ndim * i + z]); } } + // Compute Cauchy stress for the element + double stressElem[6]; + CalculateElementStress(0, stressElem); + // Print all six stress components of 1st element stress + fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", + stressElem[0], stressElem[1], stressElem[2], stressElem[6], + stressElem[4], stressElem[2]); } - fclose(datFile); return; } diff --git a/include/FemTech.h b/include/FemTech.h index faf14e12..f9a06bfd 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -62,6 +62,7 @@ void CalculateFR(); void CalculateMaximumPrincipalStrain(int elm, double* currentStrainMax, \ double *currentStrainMin, double *currentShearMax); void CalculateStrain(); +void CalculateElementStress(unsigned int e, double* stress); void CalculateDeformationGradient(int e, int gp); void SumOfDeformationGradient(int e, int gp); void StrainDisplacementMatrix(int e, int gp, int nI, double *B); @@ -104,7 +105,7 @@ double compute95thPercentileValue(double* dataArray, int localSize); void test95Percentile(void); void dyadic(const double* const, const double, double * const); -void CheckEnergy(double time, int writeFlag); +void CheckEnergy(double time, bool writeFlag); /* Functions to calculate characteristic lengths */ double CalculateCharacteristicLength(int e); diff --git a/src/elements/CMakeLists.txt b/src/elements/CMakeLists.txt index 0b0b5c40..940798bd 100644 --- a/src/elements/CMakeLists.txt +++ b/src/elements/CMakeLists.txt @@ -8,6 +8,7 @@ Set(elements_src CharacteristicLength/CalculateCharacteristicLength_C3D4.cpp CharacteristicLength/CalculateCharacteristicLength_C3D8.cpp ElementCalculations/CalculateStrain.cpp + ElementCalculations/CalculateElementStress.cpp CenterOfMass/CalculateCentroidAndVolume.cpp CenterOfMass/CalculateCentroid_C3D4.cpp CenterOfMass/CalculateCentroidAndVolume_C3D8.cpp diff --git a/src/elements/ElementCalculations/CalculateElementStress.cpp b/src/elements/ElementCalculations/CalculateElementStress.cpp new file mode 100644 index 00000000..da1d7db7 --- /dev/null +++ b/src/elements/ElementCalculations/CalculateElementStress.cpp @@ -0,0 +1,17 @@ +#include "FemTech.h" + +void CalculateElementStress(unsigned int e, double* stress) { + unsigned int limit = ndim*(ndim+1)/2; + for (int i = 0; i < limit; ++i) { + stress[i] = 0.0; + } + const int countGP = GaussPoints[e]; + for(int gp = 0; gp < countGP; ++gp) { + double * sigmaLocal = &(sigma_n[sigmaptr[e]+6*gp]); + const unsigned int wIndex = gpPtr[e]+gp; + const double gW = gaussWeights[wIndex]; + for (int i = 0; i < limit; ++i) { + stress[i] = stress[i] + gW*sigmaLocal[i]; + } + } +} diff --git a/src/fem/SolidMechanics/CheckEnergy.cpp b/src/fem/SolidMechanics/CheckEnergy.cpp index 027522a9..e213ebf5 100644 --- a/src/fem/SolidMechanics/CheckEnergy.cpp +++ b/src/fem/SolidMechanics/CheckEnergy.cpp @@ -1,6 +1,6 @@ #include "FemTech.h" -void CheckEnergy(double time, int writeFlag) { +void CheckEnergy(double time, bool writeFlag) { static double Wint_n = 0.0; static double Wext_n = 0.0; @@ -77,7 +77,7 @@ void CheckEnergy(double time, int writeFlag) { if (total > epsilon*max) { FILE_LOG_MASTER(WARNING, "Energy Violation. Total = %15.9e, Max = %15.9e, Error\% : %10.2f", total, max, total*100.0/max); } - if (writeFlag == 0) { + if (writeFlag) { fprintf(energyFile, "%12.6e %12.6e %12.6e %12.6e %12.6e\n", time, Wint_n, Wext_n, WKE_Total, total); } diff --git a/src/materials/CompressibleNeoHookean.cpp b/src/materials/CompressibleNeoHookean.cpp index 646e73f5..251091e7 100644 --- a/src/materials/CompressibleNeoHookean.cpp +++ b/src/materials/CompressibleNeoHookean.cpp @@ -22,17 +22,6 @@ void CompressibleNeoHookean(int e, int gp){ // (b-I) = (H + H^T + H*H^T) double *H = mat1; ComputeH(e, gp, H); - double *bmI = mat2; - // Compute (H+H^T) - for (int i = 0; i < ndim; ++i) { - for (int j = 0; j < ndim; ++j) { - const int indexL = j + i*ndim; - bmI[indexL] = (H[indexL]+H[i+j*ndim]); - } - } - // Compute H H^T and add to bmI - dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, H, &ndim, - H, &ndim, &one, bmI, &ndim); // Compute and store F = H + I double * const F_element_gp = &(F[index]); for (unsigned int i = 0; i < ndim2; ++i) { @@ -41,6 +30,16 @@ void CompressibleNeoHookean(int e, int gp){ F_element_gp[0] = F_element_gp[0] + 1.0; F_element_gp[4] = F_element_gp[4] + 1.0; F_element_gp[8] = F_element_gp[8] + 1.0; + + double *b = mat2; + // Compute F F^T and store to b + dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, + F_element_gp, &ndim, &zero, b, &ndim); + // Compute b - I + b[0] = b[0] - 1.0; + b[4] = b[4] - 1.0; + b[8] = b[8] - 1.0; + // J = det(F) const double J = det3x3Matrix(F_element_gp); const double factor1 = mu/J; @@ -48,7 +47,7 @@ void CompressibleNeoHookean(int e, int gp){ double *sigma_e = mat3; for (unsigned int i = 0; i < ndim2; ++i) { - sigma_e[i] = factor1*bmI[i]; + sigma_e[i] = factor1*b[i]; } sigma_e[0] = sigma_e[0] + factor2; sigma_e[4] = sigma_e[4] + factor2; From 2baec75feb8fdd0c297ca15d9ab705badb8f03f5 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 11 May 2021 21:12:03 +0530 Subject: [PATCH 044/106] Updated Explicit time stepping Implemented dynamic damping Corrected bug in UL force internal computation --- examples/ex9/ex9.cpp | 149 ++++++++++++------ include/FemTech.h | 5 +- include/GlobalVariables.h | 2 + .../CalculateElementStress.cpp | 5 + .../CalculateF_XiAndInverse.cpp | 4 +- src/fem/ShapeFunctions/ShapeFunction_C3D4.cpp | 2 +- src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp | 7 +- .../SolidMechanics/CalculateAcclerations.cpp | 5 +- src/fem/SolidMechanics/GetForce_3D.cpp | 5 +- .../SolidMechanics/InternalForceUpdateUL.cpp | 11 +- src/materials/CalculateWaveSpeed.cpp | 16 +- src/materials/CompressibleNeoHookean.cpp | 29 +++- src/materials/Ogden.cpp | 89 +++++------ src/math/math.cpp | 36 ++++- 14 files changed, 239 insertions(+), 126 deletions(-) diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index e79e9eef..8ca3ee8a 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -4,12 +4,16 @@ #include /*Delare Functions*/ -void ApplyBoundaryConditions(double dMax, double tMax); +void ApplyBoundaryConditions(); +void ApplyVelocityBoundaryConditions(double); +void InitVelocityBoundaryConditions(); void CustomPlot(); double Time, dt; int nSteps; -double ExplicitTimeStepReduction = 0.6; + +double dynamicDamping = 0.001; +double ExplicitTimeStepReduction = 0.7; double FailureTimeStep = 1e-11; double MaxTimeStep = 1e-1; @@ -18,6 +22,10 @@ bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; +// Parameters of simple tension test +double tMax = 1.00; // max simulation time in seconds +double dMax = 0.007; // max displacment in meters + int main(int argc, char **argv) { feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); InitFemTechWoInput(argc, argv); @@ -41,11 +49,9 @@ int main(int argc, char **argv) { if (ImplicitStatic) { // Static solution - double dMax = 0.1; // max displacment in meters - double tMax = 1.0; ShapeFunctions(); CreateLinearElasticityCMatrix(); - ApplyBoundaryConditions(dMax, tMax); + ApplyBoundaryConditions(); Assembly((char *)"stiffness"); ApplySteadyBoundaryConditions(); SolveSteadyImplicit(); @@ -55,12 +61,10 @@ int main(int argc, char **argv) { } else if (ImplicitDynamic) { // Dynamic Implicit solution using Newmark's scheme for time integration dt = 0.1; - double tMax = 1.0; - double dMax = 0.1; // max displacment in meters ShapeFunctions(); CreateLinearElasticityCMatrix(); Time = 1.0; - ApplyBoundaryConditions(dMax, tMax); + ApplyBoundaryConditions(); Assembly((char *)"stiffness"); Assembly((char *)"mass"); /* beta and gamma of Newmark's scheme */ @@ -68,44 +72,45 @@ int main(int argc, char **argv) { double gamma = 0.5; SolveUnsteadyNewmarkImplicit(beta, gamma, dt, tMax, argv[1]); } else if (ExplicitDynamic) { - // Dynamic Explcit solution using.... - + // Dynamic Explcit solution Belytschko Box 6.1 dt = 0.0; - double tMax = 1.00; // max simulation time in seconds - double dMax = 0.007; // max displacment in meters + // Initial operations int time_step_counter = 0; - /** Central Difference Method - Beta and Gamma */ - // double beta = 0; - // double gamma = 0.5; ShapeFunctions(); /* Step-1: Calculate the mass matrix similar to that of belytschko. */ AssembleLumpedMass(); - - // Used if initial velocity and acceleration BC is to be set. - ApplyBoundaryConditions(dMax, tMax); + InitVelocityBoundaryConditions(); /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ dt = ExplicitTimeStepReduction * StableTimeStep(); + + // Used if initial velocity BC is to be set. + ApplyVelocityBoundaryConditions(0.5*dt); + + // For cases with no residual stress and external forces, + // GetFoce is not required, we can directly set accelerations at zero time + // step to be zero /* Step-2: getforce step from Belytschko */ - GetForce(); // Calculating the force term. + // GetForce(); // Calculating the force term. /* Step-3: Calculate accelerations */ - CalculateAccelerations(); + // CalculateAccelerations(); + for (int i = 0; i < nDOF; i++) { + accelerations[i] = 0.0; + } nSteps = (int)(tMax / dt); double dtPlot = tMax/double(nPlotSteps); double nextPlotTime = dtPlot; int nsteps_plot = (int)(nSteps / nPlotSteps); - FILE_LOG_MASTER(INFO, "initial dt = %3.3e, nSteps = %d, nsteps_plot = %d", - dt, nSteps, nsteps_plot); - time_step_counter = time_step_counter + 1; double t_n = 0.0; - FILE_LOG_MASTER(INFO, - "------------------------------- Loop ----------------------------"); - FILE_LOG_MASTER(INFO, "Time : %15.6e, tmax : %15.6e", Time, tMax); + FILE_LOG_MASTER(INFO, "---------------------------------"); + FILE_LOG_MASTER(INFO, "Tmax : %15.6e, Initial dt : %15.6e", tMax, dt); + FILE_LOG_MASTER(INFO, "nSteps = %d, nsteps_plot = %d", nSteps, nsteps_plot); + FILE_LOG_MASTER(INFO, "-------------- Loop -------------"); bool writeFlag = false; @@ -124,16 +129,16 @@ int main(int argc, char **argv) { Time = t_np1; /*Update the time by adding full time step */ FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, tMax); - double dt_nphalf = dt; // equ 6.2.1 - double t_nphalf = 0.5 * (t_np1 + t_n); // equ 6.2.1 + double dtby2 = 0.5*dt; + double t_nphalf = t_n + dtby2; // equ 6.2.1 + + /* Step 6 Enforce velocity boundary Conditions */ + ApplyVelocityBoundaryConditions(t_nphalf); /* Step 5 from Belytschko Box 6.1 - Update velocity */ for (int i = 0; i < nDOF; i++) { - if (boundary[i]) { - velocities_half[i] = velocities[i]; - } else { - velocities_half[i] = - velocities[i] + (t_nphalf - t_n) * accelerations[i]; + if (!boundary[i]) { + velocities_half[i] = velocities[i] + dtby2 * accelerations[i]; } } @@ -144,26 +149,21 @@ int main(int argc, char **argv) { memcpy(fi_prev, fi, nDOF * sizeof(double)); memcpy(fe_prev, fe, nDOF * sizeof(double)); + // update displacements for all nodes, including where velocity bc is set for (int i = 0; i < nDOF; i++) { - if (!boundary[i]) { - displacements[i] = displacements[i] + dt_nphalf * velocities_half[i]; - } + displacements[i] = displacements[i] + dt * velocities_half[i]; } - /* Step 6 Enforce displacement boundary Conditions */ - ApplyBoundaryConditions(dMax, tMax); /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ GetForce(); // Calculating the force term. + /* Step - 9 from Belytschko Box 6.1 - Calculate Accelerations */ CalculateAccelerations(); // Calculating the new accelerations from total // nodal forces. /** Step- 10 - Second Partial Update of Nodal Velocities */ for (int i = 0; i < nDOF; i++) { - if (!boundary[i]) { - velocities[i] = - velocities_half[i] + (t_np1 - t_nphalf) * accelerations[i]; - } + velocities[i] = velocities_half[i] + dtby2 * accelerations[i]; } /** Step - 11 Checking* Energy Balance */ @@ -202,7 +202,7 @@ int main(int argc, char **argv) { return 0; } -void ApplyBoundaryConditions(double dMax, double tMax) { +void ApplyBoundaryConditions() { double tol = 1e-5; int count = 0; double AppliedDisp; @@ -304,6 +304,65 @@ void ApplyBoundaryConditions(double dMax, double tMax) { return; } +void ApplyVelocityBoundaryConditions(double) { + double tol = 1e-5; + int index; + + for (int i = 0; i < nNodes; i++) { + // if x value = 0, constrain node to x plane (0-direction) + index = ndim * i + 0; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index] = 0.0; + } + // if y coordinate = 0, constrain node to y plane (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index] = 0.0; + } + // if z coordinate = 0, constrain node to z plane (2-direction) + index = ndim * i + 2; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index] = 0.0; + } + // if y coordinate = 1, apply disp. to node = 0.1 (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.005) < tol) { + velocities_half[index] = dMax / tMax; + } + } + FILE_LOG_MASTER(INFO, "Time = %10.5E, Applied Velocity = %10.5E", Time, + dMax / tMax); + return; +} + +void InitVelocityBoundaryConditions() { + double tol = 1e-5; + int index; + for (int i = 0; i < nNodes; i++) { + // if x value = 0, constrain node to x plane (0-direction) + index = ndim * i + 0; + if (fabs(coordinates[index] - 0.0) < tol) { + boundary[index] = 1; + } + // if y coordinate = 0, constrain node to y plane (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + boundary[index] = 1; + } + // if z coordinate = 0, constrain node to z plane (2-direction) + index = ndim * i + 2; + if (fabs(coordinates[index] - 0.0) < tol) { + boundary[index] = 1; + } + // if y coordinate = 1, apply disp. to node = 0.1 (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.005) < tol) { + boundary[index] = 1; + } + } + return; +} + void CustomPlot() { double tol = 1e-5; FILE *datFile; @@ -336,8 +395,8 @@ void CustomPlot() { CalculateElementStress(0, stressElem); // Print all six stress components of 1st element stress fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", - stressElem[0], stressElem[1], stressElem[2], stressElem[6], - stressElem[4], stressElem[2]); + stressElem[0], stressElem[1], stressElem[2], stressElem[5], + stressElem[4], stressElem[3]); } fclose(datFile); return; diff --git a/include/FemTech.h b/include/FemTech.h index f9a06bfd..66c33329 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -84,7 +84,8 @@ void OgdenViscoelastic(int e, int gp); void lsDynaKMEquivalent(int e, int gp); double CalculateWaveSpeed(const unsigned int partID); -void inverse3x3Matrix(double* mat, double* invMat, double* det); +// TODO : Move to math.h +double inverse3x3Matrix(double* mat, double* invMat); double det3x3Matrix(double* mat); //void MultiplyMatrices(double* a, double* b, int sizeM, double* result); double tripleProduct(double* s, double* a, double* b); @@ -104,6 +105,8 @@ double compute95thPercentileValueBruteForce(double* dataArray, int localSize); double compute95thPercentileValue(double* dataArray, int localSize); void test95Percentile(void); void dyadic(const double* const, const double, double * const); +void computeAAT3d(const double* const matI, double* const matO); +void computeAAT3dI(const double* const matI, double* const matO); void CheckEnergy(double time, bool writeFlag); diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index a96369f7..a2022bf0 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -16,6 +16,8 @@ static const int elemWeight[] = {2, 1, 1}; const double huge = 1e20; +extern double dynamicDamping; + extern std::string uid; /* Simulation unique id */ extern int nparts; extern int nelements; diff --git a/src/elements/ElementCalculations/CalculateElementStress.cpp b/src/elements/ElementCalculations/CalculateElementStress.cpp index da1d7db7..8d9eab26 100644 --- a/src/elements/ElementCalculations/CalculateElementStress.cpp +++ b/src/elements/ElementCalculations/CalculateElementStress.cpp @@ -6,12 +6,17 @@ void CalculateElementStress(unsigned int e, double* stress) { stress[i] = 0.0; } const int countGP = GaussPoints[e]; + double gwSum = 0.0; for(int gp = 0; gp < countGP; ++gp) { double * sigmaLocal = &(sigma_n[sigmaptr[e]+6*gp]); const unsigned int wIndex = gpPtr[e]+gp; const double gW = gaussWeights[wIndex]; + gwSum = gwSum + gW; for (int i = 0; i < limit; ++i) { stress[i] = stress[i] + gW*sigmaLocal[i]; } } + for (int i = 0; i < limit; ++i) { + stress[i] = stress[i]/gwSum; + } } diff --git a/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp b/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp index 836dd068..ec31f196 100644 --- a/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp +++ b/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp @@ -47,8 +47,10 @@ void CalculateF_XiAndInverse(int e, int gp) { // ndim, "--------F_Xi_0 for gauss point %d --------", gp); // FILE_LOGMatrix_SINGLE(WARNING, F_Xi, ndim, \ // ndim, "--------F_Xi for gauss point %d --------", gp); + // Compute the matrix inverse - inverse3x3Matrix(F_Xi, F_XiInverse, &J_Xi); + J_Xi = inverse3x3Matrix(F_Xi, F_XiInverse); + // dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, F_Xi, &ndim, // F_XiInverse, &ndim, &zero, FTest, &ndim); // FILE_LOGMatrix_SINGLE(WARNING, FTest, ndim, \ diff --git a/src/fem/ShapeFunctions/ShapeFunction_C3D4.cpp b/src/fem/ShapeFunctions/ShapeFunction_C3D4.cpp index 3a87441a..055df7ea 100644 --- a/src/fem/ShapeFunctions/ShapeFunction_C3D4.cpp +++ b/src/fem/ShapeFunctions/ShapeFunction_C3D4.cpp @@ -68,7 +68,7 @@ void ShapeFunction_C3D4(int e, int gp, double *Chi, double *detJ){ xs[8]=coordinates[ndim*connectivity[index+node3]+z] - coordinates[ndim*connectivity[index+node4]+z]; double det, J_Inv[9]; - inverse3x3Matrix(xs, J_Inv, &det); + det = inverse3x3Matrix(xs, J_Inv); //Chandrupatla Eq. 9.19 detJ[gp] = fabs(det); diff --git a/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp b/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp index b156d991..3e2d0c48 100644 --- a/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp +++ b/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp @@ -98,10 +98,9 @@ void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ // F_Xi_0_egp[i] = xs[i]; // } - double det, J_Inv[9]; + double J_Inv[9]; - inverse3x3Matrix(xs, J_Inv, &det); - detJ[gp] = det; + detJ[gp] = inverse3x3Matrix(xs, J_Inv); // Transform derivatives to global co-ordinates // And store in B0 for updated Lagrangian formulation @@ -110,7 +109,7 @@ void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Shape Function C3D8\nDeterminant of Jacobian : " "%12.6e\nDerivatives eid : %d, gpid : %d, chi : %12.6f, eta : %12.6f, " - "iota : %12.6f", det, e, gp, chi, eta, iota); + "iota : %12.6f", detJ[gp], e, gp, chi, eta, iota); for (int i = 0; i < nShapeFunctions[e]; ++i) { baseIndex = dsptr[e] + gp * g*ndim + ndim * i; diff --git a/src/fem/SolidMechanics/CalculateAcclerations.cpp b/src/fem/SolidMechanics/CalculateAcclerations.cpp index e8568723..1636cb83 100644 --- a/src/fem/SolidMechanics/CalculateAcclerations.cpp +++ b/src/fem/SolidMechanics/CalculateAcclerations.cpp @@ -3,11 +3,8 @@ void CalculateAccelerations(){ FILE_LOGArray(DEBUGLOGIGNORE, f_net, nDOF, "RHS of Solution"); - for (int i = 0; i < nDOF; ++i) { - if (!boundary[i]) { - accelerations[i] = f_net[i]/mass[i]; - } + accelerations[i] = (f_net[i]-dynamicDamping*velocities_half[i])/mass[i]; } return; } diff --git a/src/fem/SolidMechanics/GetForce_3D.cpp b/src/fem/SolidMechanics/GetForce_3D.cpp index f013b38d..8f6c2908 100644 --- a/src/fem/SolidMechanics/GetForce_3D.cpp +++ b/src/fem/SolidMechanics/GetForce_3D.cpp @@ -7,7 +7,8 @@ void GetForce_3D() { // Below algorithm works for n > 0 // Following Belytschko // Set force_n to zero - // TODO : Call function to update fe + // TODO : Call function to update fe in cases where external traction is + // required or call updateExternalForce BC routine before calling get memcpy(f_net, fe, nDOF * sizeof(double)); memset(fi, 0, nDOF * sizeof(double)); @@ -16,6 +17,7 @@ void GetForce_3D() { int nNodesL = nShapeFunctions[i]; // number of shape functions * ndim // TODO : nShapeFunctions not always equal to nNodes + // TODO : remove the following calloc to global variables double *fintLocal = (double*)calloc(nNodesL*ndim, sizeof(double)); // force calculaton for hexes, tets and quads for(int j=0; j(partProperties[3+2*nTerm]); viscoEffect = 1.0; for (int i = 0; i < nPronyL; ++i) { @@ -73,13 +67,13 @@ double CalculateWaveSpeed(const unsigned int partID) { viscoEffect = viscoEffect + gi*exp(-Time/taui); } mu = muI * viscoEffect; - // Compute E, using mu and K - E = 9.0*K*mu/(3.0*K+mu); + lambda = K - 2.0*mu/3.0; break; default : FILE_LOG_SINGLE(ERROR, "Unknown material type in wave speed computation"); TerminateFemTech(1); } - const double ce = sqrt(E/rho); + // Compute dilatational wave speed + const double ce = sqrt((lambda+2.0*mu)/rho); // FILE_LOG_SINGLE(WARNING, "Part : %d, Material type, %d with wave speed %15.9f", partID, matID, ce); return ce; } diff --git a/src/materials/CompressibleNeoHookean.cpp b/src/materials/CompressibleNeoHookean.cpp index 251091e7..247fb821 100644 --- a/src/materials/CompressibleNeoHookean.cpp +++ b/src/materials/CompressibleNeoHookean.cpp @@ -32,16 +32,31 @@ void CompressibleNeoHookean(int e, int gp){ F_element_gp[8] = F_element_gp[8] + 1.0; double *b = mat2; - // Compute F F^T and store to b - dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, - F_element_gp, &ndim, &zero, b, &ndim); - // Compute b - I - b[0] = b[0] - 1.0; - b[4] = b[4] - 1.0; - b[8] = b[8] - 1.0; + // Compute H+H^T + for (int i = 0; i < ndim; ++i) { + for (int j = 0; j < ndim; ++j) { + const int indexL = j + i*ndim; + b[indexL] = H[indexL]+H[i+j*ndim]; + } + } + // Compute H H^T and add to b + computeAAT3dI(H, b); + // dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, H, &ndim, + // H, &ndim, &one, b, &ndim); + // // Compute F F^T and store to b + // dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, + // F_element_gp, &ndim, &zero, b, &ndim); + // // Compute b - I + // b[0] = b[0] - 1.0; + // b[4] = b[4] - 1.0; + // b[8] = b[8] - 1.0; // J = det(F) const double J = det3x3Matrix(F_element_gp); + // Throw error when J is negative + if (J < 0) { + FILE_LOG_SINGLE(ERROR, "Negative Jacobian Encountered") + } const double factor1 = mu/J; const double factor2 = lambda*log(J)/J; diff --git a/src/materials/Ogden.cpp b/src/materials/Ogden.cpp index bc665278..7b9be490 100644 --- a/src/materials/Ogden.cpp +++ b/src/materials/Ogden.cpp @@ -3,6 +3,7 @@ #include "lapack.h" #include +#include /* Implements the Ogden Model * Expected material properties : @@ -19,10 +20,6 @@ void Ogden(int e, int gp) { TerminateFemTech(3); } // Assumes ndim == 3 - // Pointer to start of deformation gradient matrix for given element number - // and Gauss point - const int index = fptr[e] + ndim * ndim * gp; - double J = detF[detFptr[e] + gp]; // Get material property ID to read material properties const int pideIndex = pid[e]*MAXMATPARAMS; // Get location of array with material properties of the element @@ -31,73 +28,77 @@ void Ogden(int e, int gp) { const double K = localProperties[1]; const int nTerm = static_cast(localProperties[2]); + // b = F F^T + double *H = mat1; + ComputeH(e, gp, H); + // Compute and store F = H + I + const unsigned int index = fptr[e] + ndim * ndim * gp; double * const F_element_gp = &(F[index]); - // Use temp storage mat1 for Finverse - double *fInv = mat1; - // Compute F inverse - InverseF(e, gp, fInv); - // Use temp storage 2 for storing Bmat - double *Bmat = mat2; - // Compute B = FF^T and compute its eigen values + for (unsigned int i = 0; i < ndim2; ++i) { + F_element_gp[i] = H[i]; + } + F_element_gp[0] = F_element_gp[0] + 1.0; + F_element_gp[4] = F_element_gp[4] + 1.0; + F_element_gp[8] = F_element_gp[8] + 1.0; + double *b = mat2; + // Compute F F^T and store to b dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, - F_element_gp, &ndim, &zero, Bmat, &ndim); - const unsigned int matSize = ndim * ndim; + F_element_gp, &ndim, &zero, b, &ndim); // Compute eigen values and eigenvectors of B double cEigenValue[ndim]; double dWork[workSize]; - dsyev_(jobzV, uploU, &ndim, Bmat, &ndim, cEigenValue, dWork, &workSize, &info); - // Compute sqrt of lambda and multiply by J^{-1/3} - const double Jm13 = pow(J, -1.0/3.0); + dsyev_(jobzV, uploU, &ndim, b, &ndim, cEigenValue, dWork, &workSize, &info); + // b now contains the eigen vectors of b + + // Correct Eigen Values for numerical inaccuracy + double delat01 = fabs(cEigenValue[0] - cEigenValue[1]); + double delat12 = fabs(cEigenValue[1] - cEigenValue[2]); + double delat02 = fabs(cEigenValue[0] - cEigenValue[2]); + + const double eigenTol = 1e-12; + if (delat01 < eigenTol) cEigenValue[1] = cEigenValue[0]; + if (delat02 < eigenTol) cEigenValue[2] = cEigenValue[0]; + if (delat12 < eigenTol) cEigenValue[2] = cEigenValue[1]; + for (int i = 0; i < ndim; ++i) { - cEigenValue[i] = sqrt(cEigenValue[i])*Jm13; + cEigenValue[i] = sqrt(cEigenValue[i]); } - // Compute F^-1(cEigenVector) - // Each column of basisVec points to F^{-1}*e where e is the eigen vector of B - // matrix - double *basisVec = mat3; - dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, - Bmat, &ndim, &zero, basisVec, &ndim); + const double J = det3x3Matrix(F_element_gp); + FILE_LOG_SINGLE(WARNING, "Det 1 = %15.6e, Det 2 = %15.6e", J, + cEigenValue[0]*cEigenValue[1]*cEigenValue[2]); + const double invJ = 1.0/J; - double *S = mat4; - for (int i = 0; i < matSize; ++i) { - S[i] = 0.0; + double *sigma_e = mat3; + for (int i = 0; i < ndim2; ++i) { + sigma_e[i] = 0.0; } const double hydro = K*(J-1.0); double eigenPower[ndim]; for (int i = 0; i < ndim; ++i) { - double preFactor = 0.0; + double preFactor = hydro; for (int j = 0; j < nTerm; ++j) { double alpha = localProperties[3+j*2]; double mu = localProperties[4+j*2]; - double eigenSum = 0.0; - for (int k = 0; k < ndim; ++k) { - const double t1 = pow(cEigenValue[k], alpha); - eigenPower[k] = t1; - eigenSum = eigenSum + t1; - } - eigenSum = eigenSum/(-3.0); - preFactor = mu*(eigenPower[i]-eigenSum); + preFactor += (mu*invJ*(pow(cEigenValue[i], alpha)-1.0))/alpha; } - preFactor += hydro; - dyadic(&basisVec[3*i], preFactor, S); + dyadic(&b[3*i], preFactor, sigma_e); } - // TODO (NEED UPDATE from PK2 to Cauchy) // Get location of array to store Cauchy values double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); // 6 values saved per gauss point for 3d // in voigt notation, sigma11 - sigma_nLocal[0] = S[0]; + sigma_nLocal[0] = sigma_e[0]; // in voigt notation, sigma22 - sigma_nLocal[1] = S[4]; + sigma_nLocal[1] = sigma_e[4]; // in voigt notation, sigma33 - sigma_nLocal[2] = S[8]; + sigma_nLocal[2] = sigma_e[8]; // in voigt notation, sigma23 - sigma_nLocal[3] = S[7]; + sigma_nLocal[3] = sigma_e[7]; // in voigt notation, sigma13 - sigma_nLocal[4] = S[6]; + sigma_nLocal[4] = sigma_e[6]; // in voigt notation, sigma12 - sigma_nLocal[5] = S[3]; + sigma_nLocal[5] = sigma_e[3]; #ifdef DEBUG FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Element ID = %d, gp = %d", e, gp); diff --git a/src/math/math.cpp b/src/math/math.cpp index 1a4a00e4..421576a3 100644 --- a/src/math/math.cpp +++ b/src/math/math.cpp @@ -6,7 +6,7 @@ #include #include -void inverse3x3Matrix(double* mat, double* invMat, double* det) { +double inverse3x3Matrix(double* mat, double* invMat) { // Mat and invMat are 1d arrays with colum major format for storing matrix // Compute matrix determinant double detLocal = mat[0] * (mat[4] * mat[8] - mat[5] * mat[7]) - @@ -25,7 +25,7 @@ void inverse3x3Matrix(double* mat, double* invMat, double* det) { invMat[5] = (mat[2] * mat[3] - mat[0] * mat[5]) * invdet; invMat[8] = (mat[0] * mat[4] - mat[1] * mat[3]) * invdet; - (*det) = detLocal; + return detLocal; } double det3x3Matrix(double* mat) { @@ -398,3 +398,35 @@ void test95Percentile(void) { void dyadic(const double* const vector, const double preFactor, double * const mat) { dger_(&ndim, &ndim, &preFactor, vector, &oneI, vector, &oneI, mat, &ndim); } + +// Compute B = A * A^T +void computeAAT3d(const double* const matI, double* const matO) { + const double od1 = matI[0]*matI[1] + matI[3]*matI[4] + matI[6]*matI[7]; + const double od2 = matI[0]*matI[2] + matI[3]*matI[5] + matI[6]*matI[8]; + const double od3 = matI[1]*matI[2] + matI[4]*matI[5] + matI[7]*matI[8]; + matO[0] = matI[0]*matI[0] + matI[3]*matI[3] + matI[6]*matI[6]; + matO[1] = od1; + matO[2] = od2; + matO[3] = od1; + matO[4] = matI[1]*matI[1] + matI[4]*matI[4] + matI[7]*matI[7]; + matO[5] = od3; + matO[6] = od2; + matO[7] = od3; + matO[8] = matI[2]*matI[2] + matI[5]*matI[5] + matI[8]*matI[8]; +} + +// Compute B = B + A * A^T +void computeAAT3dI(const double* const matI, double* const matO) { + const double od1 = matI[0]*matI[1] + matI[3]*matI[4] + matI[6]*matI[7]; + const double od2 = matI[0]*matI[2] + matI[3]*matI[5] + matI[6]*matI[8]; + const double od3 = matI[1]*matI[2] + matI[4]*matI[5] + matI[7]*matI[8]; + matO[0] += matI[0]*matI[0] + matI[3]*matI[3] + matI[6]*matI[6]; + matO[1] += od1; + matO[2] += od2; + matO[3] += od1; + matO[4] += matI[1]*matI[1] + matI[4]*matI[4] + matI[7]*matI[7]; + matO[5] += od3; + matO[6] += od2; + matO[7] += od3; + matO[8] += matI[2]*matI[2] + matI[5]*matI[5] + matI[8]*matI[8]; +} From d3e6f2a7808812e09cd841a1e2cbf67dfd0e98f9 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 14 May 2021 14:43:23 +0530 Subject: [PATCH 045/106] Modification to B0 Matrix computation --- .../CalculateF_XiAndInverse.cpp | 1 - src/elements/ElementCalculations/ComputeH.cpp | 1 + src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp | 67 ++++++++++--------- 3 files changed, 37 insertions(+), 32 deletions(-) diff --git a/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp b/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp index ec31f196..f29e52df 100644 --- a/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp +++ b/src/elements/ElementCalculations/CalculateF_XiAndInverse.cpp @@ -13,7 +13,6 @@ void CalculateF_XiAndInverse(int e, int gp) { // } const unsigned int start = eptr[e]; const unsigned int nShapeFunc = eptr[e+1]-start; - // const unsigned int nShapeFunc = nShapeFunctions[e]; const unsigned int indexStart = dsptr[e] + gp * GaussPoints[e] * ndim; for (unsigned int i = 0; i < ndim; i++) { for (unsigned int j = 0; j < ndim; j++) { diff --git a/src/elements/ElementCalculations/ComputeH.cpp b/src/elements/ElementCalculations/ComputeH.cpp index 7bf79cc9..5cefd5b9 100644 --- a/src/elements/ElementCalculations/ComputeH.cpp +++ b/src/elements/ElementCalculations/ComputeH.cpp @@ -13,6 +13,7 @@ void ComputeH(int e, int gp, double *H) { for (unsigned int i = 0; i < ndim; ++i) { for (unsigned int j = 0; j < ndim; ++j) { double Hij = 0.0; + // nShapeFunc to be replacend by nNodes for (unsigned int I = 0; I < nShapeFunc; ++I) { const unsigned int dispIndex = connectivity[start+I]*ndim + i; const unsigned int indexShp = indexStart + I * ndim + j; diff --git a/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp b/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp index 3e2d0c48..649cbeba 100644 --- a/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp +++ b/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp @@ -1,6 +1,5 @@ #include "FemTech.h" - void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ /* Purpose : Compute 3-d isoparametric 8 - node e shape functions and their derivatives with respect to @@ -75,28 +74,42 @@ void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ // on speed. // xs = dX_j/dXi_k = X_Ij*dN_I/dXi_k double xs[ndim2]; - int index = eptr[e]; - for (int j = 0; j < ndim; j++) { - xs[0+j*ndim] = (coordinates[ndim*connectivity[index+1] + j] - coordinates[ndim*connectivity[index+0] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 1 + 0] - + (coordinates[ndim*connectivity[index+2] + j] - coordinates[ndim*connectivity[index+3] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 2 + 0] - + (coordinates[ndim*connectivity[index+5] + j] - coordinates[ndim*connectivity[index+4] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 5 + 0] - + (coordinates[ndim*connectivity[index+6] + j] - coordinates[ndim*connectivity[index+7] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 6 + 0]; - - xs[1+j*ndim] = (coordinates[ndim*connectivity[index+2] + j] - coordinates[ndim*connectivity[index+1] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 2 + 1] - + (coordinates[ndim*connectivity[index+3] + j] - coordinates[ndim*connectivity[index+0] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 3 + 1] - + (coordinates[ndim*connectivity[index+6] + j] - coordinates[ndim*connectivity[index+5] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 6 + 1] - + (coordinates[ndim*connectivity[index+7] + j] - coordinates[ndim*connectivity[index+4] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 7 + 1]; - - xs[2+j*ndim] = (coordinates[ndim*connectivity[index+4] + j] - coordinates[ndim*connectivity[index+0] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 4 + 2] - + (coordinates[ndim*connectivity[index+5] + j] - coordinates[ndim*connectivity[index+1] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 5 + 2] - + (coordinates[ndim*connectivity[index+6] + j] - coordinates[ndim*connectivity[index+2] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 6 + 2] - + (coordinates[ndim*connectivity[index+7] + j] - coordinates[ndim*connectivity[index+3] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 7 + 2]; - } + // int index = eptr[e]; + // for (int j = 0; j < ndim; j++) { + // xs[0+j*ndim] = (coordinates[ndim*connectivity[index+1] + j] - coordinates[ndim*connectivity[index+0] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 1 + 0] + // + (coordinates[ndim*connectivity[index+2] + j] - coordinates[ndim*connectivity[index+3] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 2 + 0] + // + (coordinates[ndim*connectivity[index+5] + j] - coordinates[ndim*connectivity[index+4] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 5 + 0] + // + (coordinates[ndim*connectivity[index+6] + j] - coordinates[ndim*connectivity[index+7] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 6 + 0]; + // + // xs[1+j*ndim] = (coordinates[ndim*connectivity[index+2] + j] - coordinates[ndim*connectivity[index+1] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 2 + 1] + // + (coordinates[ndim*connectivity[index+3] + j] - coordinates[ndim*connectivity[index+0] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 3 + 1] + // + (coordinates[ndim*connectivity[index+6] + j] - coordinates[ndim*connectivity[index+5] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 6 + 1] + // + (coordinates[ndim*connectivity[index+7] + j] - coordinates[ndim*connectivity[index+4] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 7 + 1]; + // + // xs[2+j*ndim] = (coordinates[ndim*connectivity[index+4] + j] - coordinates[ndim*connectivity[index+0] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 4 + 2] + // + (coordinates[ndim*connectivity[index+5] + j] - coordinates[ndim*connectivity[index+1] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 5 + 2] + // + (coordinates[ndim*connectivity[index+6] + j] - coordinates[ndim*connectivity[index+2] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 6 + 2] + // + (coordinates[ndim*connectivity[index+7] + j] - coordinates[ndim*connectivity[index+3] + j]) * dshp[dsptr[e] + gp * g*ndim + ndim * 7 + 2]; + // } // const int indexT = fptr[e] + ndim * ndim * gp; // double *F_Xi_0_egp = &(F_Xi_0[indexT]); // for (unsigned int i = 0; i < ndim2; ++i) { // F_Xi_0_egp[i] = xs[i]; // } + const unsigned int start = eptr[e]; + const unsigned int nShapeFunc = eptr[e+1]-start; + for (unsigned int i = 0; i < ndim; i++) { + for (unsigned int j = 0; j < ndim; j++) { + double F_Xi_ij = 0.0; + for (unsigned int I = 0; I < nShapeFunc; ++I) { + const unsigned int dispIndex = ndim*connectivity[start + I] + i; + const unsigned int indexdShp = indexDshp + I * ndim + j; + F_Xi_ij = F_Xi_ij + coordinates[dispIndex]*dshp[indexdShp]; + } // loop on I + // Store in column major format + xs[i+j*ndim] = F_Xi_ij; + } + } double J_Inv[9]; @@ -104,30 +117,22 @@ void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ // Transform derivatives to global co-ordinates // And store in B0 for updated Lagrangian formulation - double c1, c2, c3; - int baseIndex; - + // B0 Stores dN_I/dX (N_{,X}) FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Shape Function C3D8\nDeterminant of Jacobian : " "%12.6e\nDerivatives eid : %d, gpid : %d, chi : %12.6f, eta : %12.6f, " "iota : %12.6f", detJ[gp], e, gp, chi, eta, iota); for (int i = 0; i < nShapeFunctions[e]; ++i) { - baseIndex = dsptr[e] + gp * g*ndim + ndim * i; - c1 = dshp[baseIndex]*J_Inv[0]+dshp[baseIndex+1]*J_Inv[3]+dshp[baseIndex+2]*J_Inv[6]; - c2 = dshp[baseIndex]*J_Inv[1]+dshp[baseIndex+1]*J_Inv[4]+dshp[baseIndex+2]*J_Inv[7]; - c3 = dshp[baseIndex]*J_Inv[2]+dshp[baseIndex+1]*J_Inv[5]+dshp[baseIndex+2]*J_Inv[8]; + const unsigned int baseIndex = indexDshp + ndim * i; + B0[baseIndex] = dshp[baseIndex]*J_Inv[0]+dshp[baseIndex+1]*J_Inv[1]+dshp[baseIndex+2]*J_Inv[2]; + B0[baseIndex+1] = dshp[baseIndex]*J_Inv[3]+dshp[baseIndex+1]*J_Inv[4]+dshp[baseIndex+2]*J_Inv[5]; + B0[baseIndex+2] = dshp[baseIndex]*J_Inv[6]+dshp[baseIndex+1]*J_Inv[7]+dshp[baseIndex+2]*J_Inv[8]; FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Shape fn : %d, %12.6f, %12.6f, %12.6f", i, \ dshp[baseIndex], dshp[baseIndex+1], dshp[baseIndex+2]); - - B0[baseIndex] = c1; - B0[baseIndex+1] = c2; - B0[baseIndex+2] = c3; - FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Shape fn Global : %d, %12.6f, %12.6f, %12.6f", \ i, B0[baseIndex], B0[baseIndex+1], B0[baseIndex+2]); } - FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, xs, ndim, ndim, "---- XS Matrix ----") FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, J_Inv, ndim, ndim, "---- JInv Matrix ----") return; From 32b685ae43c0ecdcee0e8da451fef58773997f19 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 7 Jun 2021 23:21:39 +0530 Subject: [PATCH 046/106] Added ex19: shear stress example --- .gitignore | 2 +- examples/CMakeLists.txt | 4 + examples/ex19/1-elt-cube.k | 22 ++ examples/ex19/CMakeLists.txt | 28 ++ examples/ex19/README.md | 9 + examples/ex19/ex19.cpp | 276 ++++++++++++++++++++ examples/ex19/gnuplot.script | 54 ++++ examples/ex19/materials.dat | 18 ++ examples/ex19/template.vcxproj.user.in | 8 + examples/ex5/ex5.cpp | 21 +- examples/ex9/ex9.cpp | 343 ++++++++----------------- src/fem/SolidMechanics/CheckEnergy.cpp | 61 +++-- 12 files changed, 579 insertions(+), 267 deletions(-) create mode 100644 examples/ex19/1-elt-cube.k create mode 100644 examples/ex19/CMakeLists.txt create mode 100644 examples/ex19/README.md create mode 100644 examples/ex19/ex19.cpp create mode 100644 examples/ex19/gnuplot.script create mode 100644 examples/ex19/materials.dat create mode 100644 examples/ex19/template.vcxproj.user.in diff --git a/.gitignore b/.gitignore index 3bb21a5e..79f834b4 100644 --- a/.gitignore +++ b/.gitignore @@ -21,4 +21,4 @@ lib project.vcxproj.user.in CMakeCache.txt CMakeFiles -examples/ex19 +examples/ex19/ls-dyna diff --git a/examples/CMakeLists.txt b/examples/CMakeLists.txt index 15c0c3fa..a3f463c4 100644 --- a/examples/CMakeLists.txt +++ b/examples/CMakeLists.txt @@ -92,6 +92,10 @@ if (EXAMPLE18) add_subdirectory(ex18) endif (EXAMPLE18) +if (EXAMPLE19) + add_subdirectory(ex19) +endif (EXAMPLE19) + if (Benchmarking-Parallel) add_subdirectory(Benchmarking-Parallel) endif (Benchmarking-Parallel) diff --git a/examples/ex19/1-elt-cube.k b/examples/ex19/1-elt-cube.k new file mode 100644 index 00000000..c0da0b69 --- /dev/null +++ b/examples/ex19/1-elt-cube.k @@ -0,0 +1,22 @@ +$# LS-DYNA Keyword file created by LS-PrePost(R) V4.5.23 - 17Aug2018 +$# Created on Jan-20-2019 (21:27:25) +*KEYWORD +*PART +$# title +boxsolid +$# pid secid mid eosid hgid grav adpopt tmid + 1 0 0 0 0 0 0 0 +*ELEMENT_SOLID +$# eid pid n1 n2 n3 n4 n5 n6 n7 n8 + 1 1 1 2 4 3 5 6 8 7 +*NODE +$# nid x y z tc rc + 1 0.000 0.000 0.000 0 0 + 2 0.005 0.000 0.000 0 0 + 3 0.000 0.005 0.000 0 0 + 4 0.005 0.005 0.000 0 0 + 5 0.000 0.000 0.005 0 0 + 6 0.005 0.000 0.005 0 0 + 7 0.000 0.005 0.005 0 0 + 8 0.005 0.005 0.005 0 0 +*END diff --git a/examples/ex19/CMakeLists.txt b/examples/ex19/CMakeLists.txt new file mode 100644 index 00000000..eb10cbb2 --- /dev/null +++ b/examples/ex19/CMakeLists.txt @@ -0,0 +1,28 @@ +SET(ex19_src ex19.cpp) + +ADD_EXECUTABLE(ex19 ${ex19_src}) + +if(ENABLE_MPI) + LINK_DIRECTORIES(${CMAKE_BINARY_DIR}/lib ${CMAKE_BINARY_DIR}/third-party/parmetis-4.0.3/libparmetis) + TARGET_LINK_LIBRARIES(ex19 FemTech parmetis ${lapackblas_libraries}) +else() + LINK_DIRECTORIES(${CMAKE_BINARY_DIR}/lib) + TARGET_LINK_LIBRARIES(ex19 FemTech) +endif(ENABLE_MPI) + +file(INSTALL 1-elt-cube.k DESTINATION .) +file(INSTALL materials.dat DESTINATION .) +file(INSTALL gnuplot.script DESTINATION .) +file(INSTALL README.md DESTINATION .) +file(INSTALL ls-dyna DESTINATION .) +file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results) +file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results/vtu) + +# Define debugger options when working with windows & visual studio generator +# We set them here but could be passed as options if required +# We use a template for the same, replacing the options we need +if(WIN32 AND MSVC) + set( DEBUG_COMMAND "C:\\Program Files\\Microsoft MPI\\Bin\\mpiexec.exe" ) + set( DEBUG_COMMAND_ARGUMENTS "-n 1 \"$(TargetPath)\" 1-elt-cube.k" ) + configure_file( template.vcxproj.user.in ${CMAKE_BINARY_DIR}/examples/ex19/ex19.vcxproj.user @ONLY ) +endif() diff --git a/examples/ex19/README.md b/examples/ex19/README.md new file mode 100644 index 00000000..3ea33d89 --- /dev/null +++ b/examples/ex19/README.md @@ -0,0 +1,9 @@ +# To run: +prompt> mpirun -n 1 ex19 1-elt-cube.k + +# To Plot: +prompt> gnuplot gnuplot.script + +## On windows: +-start x, at prompt type: startxwin +-cygstart plot.png diff --git a/examples/ex19/ex19.cpp b/examples/ex19/ex19.cpp new file mode 100644 index 00000000..a50684fa --- /dev/null +++ b/examples/ex19/ex19.cpp @@ -0,0 +1,276 @@ +#include "FemTech.h" + +#include +// #include + +/*Delare Functions*/ +void ApplyVelocityBoundaryConditions(double); +void InitVelocityBoundaryConditions(); +void CustomPlot(); + +double Time, dt; +int nSteps; + +double dynamicDamping = 0.000; +double ExplicitTimeStepReduction = 0.7; +double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-1; + +int nPlotSteps = 1000; +int nFieldSkip = 20; // 1 in nFieldSkip plot steps will be used to output VTU +bool ImplicitStatic = false; +bool ImplicitDynamic = false; +bool ExplicitDynamic = true; + +// Parameters of simple tension test +double tMax = 1.00; // max simulation time in seconds +double dMax = 0.007; // max displacment in meters + +int main(int argc, char **argv) { + // feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); + InitFemTechWoInput(argc, argv); + + ReadInputFile(argv[1]); + ReadMaterials(); + + PartitionMesh(); + + AllocateArrays(); + + std::string meshFile(argv[1]); + size_t lastindex = meshFile.find_last_of("."); + std::string outputFileName = meshFile.substr(0, lastindex); + /* Write inital, undeformed configuration*/ + Time = 0.0; + int plot_counter = 0; + WriteVTU(outputFileName.c_str(), plot_counter); + stepTime[plot_counter] = Time; + CustomPlot(); + + // Dynamic Explcit solution Belytschko Box 6.1 + dt = 0.0; + + // Initial operations + int time_step_counter = 0; + ShapeFunctions(); + /* Step-1: Calculate the mass matrix similar to that of belytschko. */ + AssembleLumpedMass(); + InitVelocityBoundaryConditions(); + + /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ + dt = ExplicitTimeStepReduction * StableTimeStep(); + + // Used if initial velocity BC is to be set. + ApplyVelocityBoundaryConditions(0.5*dt); + + // For cases with no residual stress and external forces, + // GetFoce is not required, we can directly set accelerations at zero time + // step to be zero + /* Step-2: getforce step from Belytschko */ + // GetForce(); // Calculating the force term. + + /* Step-3: Calculate accelerations */ + // CalculateAccelerations(); + for (int i = 0; i < nDOF; i++) { + accelerations[i] = 0.0; + } + + nSteps = (int)(tMax / dt); + double dtPlot = tMax/double(nPlotSteps); + double nextPlotTime = dtPlot; + int nsteps_plot = (int)(nSteps / nPlotSteps); + + double t_n = 0.0; + + FILE_LOG_MASTER(INFO, "---------------------------------"); + FILE_LOG_MASTER(INFO, "Tmax : %15.6e, Initial dt : %15.6e", tMax, dt); + FILE_LOG_MASTER(INFO, "nSteps = %d, nsteps_plot = %d", nSteps, nsteps_plot); + FILE_LOG_MASTER(INFO, "-------------- Loop -------------"); + + bool writeFlag = false; + int vtuSkipCount = 0; + + /* Step-4: Time loop starts....*/ + while (Time < tMax) { + t_n = Time; + double t_np1 = Time + dt; + if (t_np1 > nextPlotTime) { + // Adjust dt to plot at specific time steps + t_np1 = nextPlotTime; + dt = nextPlotTime - Time; + // Update next plot time step + nextPlotTime = nextPlotTime + dtPlot; + writeFlag = true; + } + Time = t_np1; /*Update the time by adding full time step */ + FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, + tMax); + double dtby2 = 0.5*dt; + double t_nphalf = t_n + dtby2; // equ 6.2.1 + + /* Step 6 Enforce velocity boundary Conditions */ + ApplyVelocityBoundaryConditions(t_nphalf); + + /* Step 5 from Belytschko Box 6.1 - Update velocity */ + for (int i = 0; i < nDOF; i++) { + if (!boundary[i]) { + velocities_half[i] = velocities[i] + dtby2 * accelerations[i]; + } + } + + // Store old displacements and accelerations for energy computation + memcpy(displacements_prev, displacements, nDOF * sizeof(double)); + memcpy(accelerations_prev, accelerations, nDOF * sizeof(double)); + // Store internal external force from previous step to compute energy + memcpy(fi_prev, fi, nDOF * sizeof(double)); + memcpy(fe_prev, fe, nDOF * sizeof(double)); + + // update displacements for all nodes, including where velocity bc is set + for (int i = 0; i < nDOF; i++) { + displacements[i] = displacements[i] + dt * velocities_half[i]; + } + + /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ + GetForce(); // Calculating the force term. + + /* Step - 9 from Belytschko Box 6.1 - Calculate Accelerations */ + CalculateAccelerations(); // Calculating the new accelerations from total + // nodal forces. + + /** Step- 10 - Second Partial Update of Nodal Velocities */ + for (int i = 0; i < nDOF; i++) { + velocities[i] = velocities_half[i] + dtby2 * accelerations[i]; + } + + /** Step - 11 Checking* Energy Balance */ + CheckEnergy(Time, writeFlag); + + // int writeFlag = time_step_counter % nsteps_plot; + if (writeFlag) { + CustomPlot(); + vtuSkipCount = vtuSkipCount + 1; + if (!(vtuSkipCount%nFieldSkip)) { + plot_counter = plot_counter + 1; + CalculateStrain(); + FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); + WriteVTU(outputFileName.c_str(), plot_counter); + if (plot_counter < MAXPLOTSTEPS) { + stepTime[plot_counter] = Time; + WritePVD(outputFileName.c_str(), plot_counter); + } + vtuSkipCount = 0; + } + + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Displacement Solution"); + writeFlag = false; + } + // time_step_counter = time_step_counter + 1; + dt = ExplicitTimeStepReduction * StableTimeStep(); + // Barrier not a must + MPI_Barrier(MPI_COMM_WORLD); + } // end explcit while loop + FILE_LOG_MASTER(INFO, "End of Iterative Loop"); + + // Write out the last time step + // CustomPlot(); + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Final Displacement Solution"); + + FinalizeFemTech(); + return 0; +} + +void ApplyVelocityBoundaryConditions(double) { + double tol = 1e-5; + int index; + + for (int i = 0; i < nNodes; i++) { + // if y coordinate = 0, constrain node to y plane (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index] = 0.0; + // Constraint x in y = 0 plane + velocities_half[index-1] = 0.0; + // Constraint z in y = 0 plane + velocities_half[index+1] = 0.0; + } + // if y coordinate = 1, apply disp. to node in x direction (1-direction) + // index = ndim * i + 1; + if (fabs(coordinates[index] - 0.005) < tol) { + velocities_half[index] = 0.0; + // Constraint x in y = 1 plane and prescribe motion + velocities_half[index-1] = dMax / tMax; + // Constraint z in y = 1 plane + velocities_half[index+1] = 0.0; + } + } + FILE_LOG_MASTER(INFO, "Time = %10.5E, Applied Velocity = %10.5E", Time, + dMax / tMax); + return; +} + +void InitVelocityBoundaryConditions() { + double tol = 1e-5; + int index; + for (int i = 0; i < nNodes; i++) { + // if y coordinate = 0, constrain node to y plane (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + boundary[index] = 1; + // Constraint x in y = 0 plane + boundary[index-1] = 1; + // Constraint z in y = 0 plane + boundary[index+1] = 1; + } + // if y coordinate = 1, apply disp. to node in x direction (1-direction) + // index = ndim * i + 1; + if (fabs(coordinates[index] - 0.005) < tol) { + boundary[index] = 1; + // Constraint x in y = 1 plane + boundary[index-1] = 1; + // Constraint z in y = 1 plane + boundary[index+1] = 1; + } + } + return; +} + +void CustomPlot() { + double tol = 1e-5; + FILE *datFile; + int x = 0; + int y = 1; + int z = 2; + + if (fabs(Time - 0.0) < 1e-16) { + datFile = fopen("plot.dat", "w"); + fprintf(datFile, "# Results for Node ?\n"); + fprintf(datFile, "# Time DispX DispY DispZ SigmaXX SigmaYY SigmaZZ " + "SigmaXY Sigma XZ SigmaYZ\n"); + fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e %13.5e " + "%13.5e %13.5e %13.5e\n", + 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0); + } else { + datFile = fopen("plot.dat", "a"); + for (int i = 0; i < nNodes; i++) { + if (fabs(coordinates[ndim * i + x] - 0.005) < tol && + fabs(coordinates[ndim * i + y] - 0.005) < tol && + fabs(coordinates[ndim * i + z] - 0.005) < tol) { + + fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e ", Time, + displacements[ndim * i + x], displacements[ndim * i + y], + displacements[ndim * i + z]); + } + } + // Compute Cauchy stress for the element + double stressElem[6]; + CalculateElementStress(0, stressElem); + // Print all six stress components of 1st element stress + fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", + stressElem[0], stressElem[1], stressElem[2], stressElem[5], + stressElem[4], stressElem[3]); + } + fclose(datFile); + return; +} diff --git a/examples/ex19/gnuplot.script b/examples/ex19/gnuplot.script new file mode 100644 index 00000000..31a26df2 --- /dev/null +++ b/examples/ex19/gnuplot.script @@ -0,0 +1,54 @@ +set termoption dashed + +unset colorbox + +# nomirror means do not put tics on the opposite side of the plot +set xtics nomirror +set ytics nomirror + +# On the Y axis put a major tick every 5 +#set ytics 5 + +# On both the x and y axes split each space in half and put a minor tic there +#set mxtics 2 +#set mytics 2 + +set grid xtics +set grid ytics +set grid mxtics +set grid mytics + +# Set the range of our x and y axes +#set xrange [1:10] +#set yrange [-30:5] + +# scale plot canvas size +set size square 0.9,0.9 + +# set line style; can be: lines, linespoints, points, impulse +set style data lines + +# Create some linestyles for our data +# pt = point type (triangles, circles, squares, etc.) +# ps = point size +set style line 1 lt 2 dt 2 lc rgb "red" lw 6 pt 2 ps 2 +set style line 2 lt 2 dt 2 lc rgb "blue" lw 6 pt 3 ps 2 +set style line 3 lt 1 lc rgb "black" lw 8 pt 6 ps 2 +set style line 4 lt 1 lc rgb "orange" lw 8 pt 9 ps 2 + +set xtics font ",18" +set ytics font ",18" +set bmargin 8 +set xlabel "Time (s)" offset 0,-2 font ",28" +set ylabel "Displacement (m)" offset -4,0 font ",28" + +# set location of legend +set key right top +# set font size of legend +set key font ",18" +set term pngcairo dashed notransparent size 1200,960 dashlength .4 +set output "plot.png" +plot "ls-dyna/Case3Disp.txt" using 1:2 ls 3 title "LS-DYNA DispX", \ + "ls-dyna/Case3Disp.txt" using 1:3 ls 4 title "LS-DYNA DispY", \ + "plot.dat" using 1:2 ls 1 title "FEMTECH DispX", \ + "plot.dat" using 1:3 ls 2 title "FEMTECH DispY" diff --git a/examples/ex19/materials.dat b/examples/ex19/materials.dat new file mode 100644 index 00000000..65598aa2 --- /dev/null +++ b/examples/ex19/materials.dat @@ -0,0 +1,18 @@ +0 6 1040 558.47e6 928 1.66e3 16.95 + +# 0 7 1040 9.996667e5 2 10.1 53.8 -12.9 -120.4 + +# form of file +# partID (starting at 0), material ID (goes with consitutive model), ... +# n properties (reads MAXMATPARAMS defined in GlobalVariables.h) + +# mat ID 0 - Specified rigid-body motion : density +# mat ID 1 - CompressibleNeoHookean props: density mu lambda +# mat ID 2 - St. Venant props : density mu lambda +# mat ID 3 - Linear Elasticity : density mu lambda +# mat ID 4 - HGO Isotropic : density mu lambda k1 k2 +# mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 lambda k1 k2 g1 t1 g2 t2 +# g1 t1 and g2 t2 are pairs of 2 term Prony series +# mat ID 6 - LS-Dyna Maxwell equivalent : density(Kg/m^3) K(Pa) G_\infity(Pa) G_0(Pa) \beta(1/s) +# mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N +# mat ID 8 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M diff --git a/examples/ex19/template.vcxproj.user.in b/examples/ex19/template.vcxproj.user.in new file mode 100644 index 00000000..4ee72aa2 --- /dev/null +++ b/examples/ex19/template.vcxproj.user.in @@ -0,0 +1,8 @@ + + + + @DEBUG_COMMAND@ + WindowsLocalDebugger + @DEBUG_COMMAND_ARGUMENTS@ + + \ No newline at end of file diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 08c4a378..84162d28 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -36,6 +36,8 @@ int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; + +double dynamicDamping = 0.000; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-8; // Set for max runtime of around 5 hrs on aws double MaxTimeStep = 1e-5; @@ -209,10 +211,13 @@ int main(int argc, char **argv) { /* Step-2: getforce step from Belytschko */ // In GetForce for viscoelastic material dt is required, hence we compute dt // prior to getforce to avoid special treatment of getforce at Time = 0 - GetForce(); // Calculating the force term. + // GetForce(); // Calculating the force term. /* Step-3: Calculate accelerations */ - CalculateAccelerations(); + // CalculateAccelerations(); + for (int i = 0; i < nDOF; i++) { + accelerations[i] = 0.0; + } nSteps = (int)((tMax - Time) / dt); int nsteps_plot = (int)(nSteps / nPlotSteps); @@ -224,15 +229,15 @@ int main(int argc, char **argv) { nsteps_write = nSteps; } - FILE_LOG_MASTER(INFO, "initial dt = %3.3e, nSteps = %d, nsteps_plot = %d", dt, - nSteps, nsteps_plot); + double t_n = 0.0; + + FILE_LOG_MASTER(INFO, "---------------------------------"); + FILE_LOG_MASTER(INFO, "Tmax : %15.6e, Initial dt : %15.6e", tMax, dt); + FILE_LOG_MASTER(INFO, "nSteps = %d, nsteps_plot = %d", nSteps, nsteps_plot); + FILE_LOG_MASTER(INFO, "-------------- Loop -------------"); time_step_counter = time_step_counter + 1; - double t_n = 0.0; - FILE_LOG_MASTER(INFO, - "------------------------------- Loop ----------------------------"); - FILE_LOG_MASTER(INFO, "Time : %15.6e, tmax : %15.6e", Time, tMax); /* Step-4: Time loop starts....*/ while (Time < tMax) { diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 8ca3ee8a..07b908af 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -1,10 +1,9 @@ #include "FemTech.h" #include -#include +// #include /*Delare Functions*/ -void ApplyBoundaryConditions(); void ApplyVelocityBoundaryConditions(double); void InitVelocityBoundaryConditions(); void CustomPlot(); @@ -12,12 +11,13 @@ void CustomPlot(); double Time, dt; int nSteps; -double dynamicDamping = 0.001; +double dynamicDamping = 0.000; double ExplicitTimeStepReduction = 0.7; double FailureTimeStep = 1e-11; double MaxTimeStep = 1e-1; int nPlotSteps = 1000; +int nFieldSkip = 20; // 1 in nFieldSkip plot steps will be used to output VTU bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; @@ -27,7 +27,7 @@ double tMax = 1.00; // max simulation time in seconds double dMax = 0.007; // max displacment in meters int main(int argc, char **argv) { - feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); + // feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); InitFemTechWoInput(argc, argv); ReadInputFile(argv[1]); @@ -47,131 +47,109 @@ int main(int argc, char **argv) { stepTime[plot_counter] = Time; CustomPlot(); - if (ImplicitStatic) { - // Static solution - ShapeFunctions(); - CreateLinearElasticityCMatrix(); - ApplyBoundaryConditions(); - Assembly((char *)"stiffness"); - ApplySteadyBoundaryConditions(); - SolveSteadyImplicit(); - Time = tMax; - /* Write final, deformed configuration*/ - WriteVTU(argv[1], 1); - } else if (ImplicitDynamic) { - // Dynamic Implicit solution using Newmark's scheme for time integration - dt = 0.1; - ShapeFunctions(); - CreateLinearElasticityCMatrix(); - Time = 1.0; - ApplyBoundaryConditions(); - Assembly((char *)"stiffness"); - Assembly((char *)"mass"); - /* beta and gamma of Newmark's scheme */ - double beta = 0.25; - double gamma = 0.5; - SolveUnsteadyNewmarkImplicit(beta, gamma, dt, tMax, argv[1]); - } else if (ExplicitDynamic) { - // Dynamic Explcit solution Belytschko Box 6.1 - dt = 0.0; - - // Initial operations - int time_step_counter = 0; - ShapeFunctions(); - /* Step-1: Calculate the mass matrix similar to that of belytschko. */ - AssembleLumpedMass(); - InitVelocityBoundaryConditions(); - - /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ - dt = ExplicitTimeStepReduction * StableTimeStep(); + // Dynamic Explcit solution Belytschko Box 6.1 + dt = 0.0; - // Used if initial velocity BC is to be set. - ApplyVelocityBoundaryConditions(0.5*dt); + // Initial operations + int time_step_counter = 0; + ShapeFunctions(); + /* Step-1: Calculate the mass matrix similar to that of belytschko. */ + AssembleLumpedMass(); + InitVelocityBoundaryConditions(); - // For cases with no residual stress and external forces, - // GetFoce is not required, we can directly set accelerations at zero time - // step to be zero - /* Step-2: getforce step from Belytschko */ - // GetForce(); // Calculating the force term. + /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ + dt = ExplicitTimeStepReduction * StableTimeStep(); - /* Step-3: Calculate accelerations */ - // CalculateAccelerations(); - for (int i = 0; i < nDOF; i++) { - accelerations[i] = 0.0; + // Used if initial velocity BC is to be set. + ApplyVelocityBoundaryConditions(0.5*dt); + + // For cases with no residual stress and external forces, + // GetFoce is not required, we can directly set accelerations at zero time + // step to be zero + /* Step-2: getforce step from Belytschko */ + // GetForce(); // Calculating the force term. + + /* Step-3: Calculate accelerations */ + // CalculateAccelerations(); + for (int i = 0; i < nDOF; i++) { + accelerations[i] = 0.0; + } + + nSteps = (int)(tMax / dt); + double dtPlot = tMax/double(nPlotSteps); + double nextPlotTime = dtPlot; + int nsteps_plot = (int)(nSteps / nPlotSteps); + + double t_n = 0.0; + + FILE_LOG_MASTER(INFO, "---------------------------------"); + FILE_LOG_MASTER(INFO, "Tmax : %15.6e, Initial dt : %15.6e", tMax, dt); + FILE_LOG_MASTER(INFO, "nSteps = %d, nsteps_plot = %d", nSteps, nsteps_plot); + FILE_LOG_MASTER(INFO, "-------------- Loop -------------"); + + bool writeFlag = false; + int vtuSkipCount = 0; + + /* Step-4: Time loop starts....*/ + while (Time < tMax) { + t_n = Time; + double t_np1 = Time + dt; + if (t_np1 > nextPlotTime) { + // Adjust dt to plot at specific time steps + t_np1 = nextPlotTime; + dt = nextPlotTime - Time; + // Update next plot time step + nextPlotTime = nextPlotTime + dtPlot; + writeFlag = true; } + Time = t_np1; /*Update the time by adding full time step */ + FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, + tMax); + double dtby2 = 0.5*dt; + double t_nphalf = t_n + dtby2; // equ 6.2.1 - nSteps = (int)(tMax / dt); - double dtPlot = tMax/double(nPlotSteps); - double nextPlotTime = dtPlot; - int nsteps_plot = (int)(nSteps / nPlotSteps); - - double t_n = 0.0; - - FILE_LOG_MASTER(INFO, "---------------------------------"); - FILE_LOG_MASTER(INFO, "Tmax : %15.6e, Initial dt : %15.6e", tMax, dt); - FILE_LOG_MASTER(INFO, "nSteps = %d, nsteps_plot = %d", nSteps, nsteps_plot); - FILE_LOG_MASTER(INFO, "-------------- Loop -------------"); - - bool writeFlag = false; - - /* Step-4: Time loop starts....*/ - while (Time < tMax) { - t_n = Time; - double t_np1 = Time + dt; - if (t_np1 > nextPlotTime) { - // Adjust dt to plot at specific time steps - t_np1 = nextPlotTime; - dt = nextPlotTime - Time; - // Update next plot time step - nextPlotTime = nextPlotTime + dtPlot; - writeFlag = true; - } - Time = t_np1; /*Update the time by adding full time step */ - FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, - tMax); - double dtby2 = 0.5*dt; - double t_nphalf = t_n + dtby2; // equ 6.2.1 - - /* Step 6 Enforce velocity boundary Conditions */ - ApplyVelocityBoundaryConditions(t_nphalf); - - /* Step 5 from Belytschko Box 6.1 - Update velocity */ - for (int i = 0; i < nDOF; i++) { - if (!boundary[i]) { - velocities_half[i] = velocities[i] + dtby2 * accelerations[i]; - } + /* Step 6 Enforce velocity boundary Conditions */ + ApplyVelocityBoundaryConditions(t_nphalf); + + /* Step 5 from Belytschko Box 6.1 - Update velocity */ + for (int i = 0; i < nDOF; i++) { + if (!boundary[i]) { + velocities_half[i] = velocities[i] + dtby2 * accelerations[i]; } + } - // Store old displacements and accelerations for energy computation - memcpy(displacements_prev, displacements, nDOF * sizeof(double)); - memcpy(accelerations_prev, accelerations, nDOF * sizeof(double)); - // Store internal external force from previous step to compute energy - memcpy(fi_prev, fi, nDOF * sizeof(double)); - memcpy(fe_prev, fe, nDOF * sizeof(double)); + // Store old displacements and accelerations for energy computation + memcpy(displacements_prev, displacements, nDOF * sizeof(double)); + memcpy(accelerations_prev, accelerations, nDOF * sizeof(double)); + // Store internal external force from previous step to compute energy + memcpy(fi_prev, fi, nDOF * sizeof(double)); + memcpy(fe_prev, fe, nDOF * sizeof(double)); - // update displacements for all nodes, including where velocity bc is set - for (int i = 0; i < nDOF; i++) { - displacements[i] = displacements[i] + dt * velocities_half[i]; - } + // update displacements for all nodes, including where velocity bc is set + for (int i = 0; i < nDOF; i++) { + displacements[i] = displacements[i] + dt * velocities_half[i]; + } - /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ - GetForce(); // Calculating the force term. + /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ + GetForce(); // Calculating the force term. - /* Step - 9 from Belytschko Box 6.1 - Calculate Accelerations */ - CalculateAccelerations(); // Calculating the new accelerations from total - // nodal forces. + /* Step - 9 from Belytschko Box 6.1 - Calculate Accelerations */ + CalculateAccelerations(); // Calculating the new accelerations from total + // nodal forces. - /** Step- 10 - Second Partial Update of Nodal Velocities */ - for (int i = 0; i < nDOF; i++) { - velocities[i] = velocities_half[i] + dtby2 * accelerations[i]; - } + /** Step- 10 - Second Partial Update of Nodal Velocities */ + for (int i = 0; i < nDOF; i++) { + velocities[i] = velocities_half[i] + dtby2 * accelerations[i]; + } - /** Step - 11 Checking* Energy Balance */ - CheckEnergy(Time, writeFlag); - - // int writeFlag = time_step_counter % nsteps_plot; - if (writeFlag) { - CustomPlot(); + /** Step - 11 Checking* Energy Balance */ + CheckEnergy(Time, writeFlag); + + // int writeFlag = time_step_counter % nsteps_plot; + if (writeFlag) { + CustomPlot(); + vtuSkipCount = vtuSkipCount + 1; + if (!(vtuSkipCount%nFieldSkip)) { plot_counter = plot_counter + 1; CalculateStrain(); FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); @@ -180,21 +158,22 @@ int main(int argc, char **argv) { stepTime[plot_counter] = Time; WritePVD(outputFileName.c_str(), plot_counter); } - - FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, - "Displacement Solution"); - writeFlag = false; + vtuSkipCount = 0; } - time_step_counter = time_step_counter + 1; - dt = ExplicitTimeStepReduction * StableTimeStep(); - // Barrier not a must - MPI_Barrier(MPI_COMM_WORLD); - } // end explcit while loop - FILE_LOG_MASTER(INFO, "End of Iterative Loop"); - - // Write out the last time step - // CustomPlot(); - } // end if ExplicitDynamic + + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Displacement Solution"); + writeFlag = false; + } + // time_step_counter = time_step_counter + 1; + dt = ExplicitTimeStepReduction * StableTimeStep(); + // Barrier not a must + MPI_Barrier(MPI_COMM_WORLD); + } // end explcit while loop + FILE_LOG_MASTER(INFO, "End of Iterative Loop"); + + // Write out the last time step + // CustomPlot(); FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, "Final Displacement Solution"); @@ -202,108 +181,6 @@ int main(int argc, char **argv) { return 0; } -void ApplyBoundaryConditions() { - double tol = 1e-5; - int count = 0; - double AppliedDisp; - - AppliedDisp = Time * (dMax / tMax); - - // Apply Ramped Displacment - // if (ExplicitDynamic || ImplicitDynamic) { - // if (Time < 0.1) { - // AppliedDisp = Time * (dMax / 0.1); - // } else { - // if (Time < 0.2) { - // AppliedDisp = dMax; - // } else { - // if (Time < 0.3) { - // AppliedDisp = dMax - (Time-0.2)*dMax/0.1; - // } else { - // if (Time < 0.4) { - // AppliedDisp = 0; - // } else { - // if (Time < 0.5) { - // AppliedDisp = (Time-0.4) * (dMax / 0.1); - // } else { - // if (Time < 0.6) { - // AppliedDisp = dMax; - // } else { - // if (Time < 0.7) { - // AppliedDisp = dMax - (Time-0.6)*dMax/0.1; - // } else { - // if (Time < 0.8) { - // AppliedDisp = 0; - // } else { - // if (Time < 0.9) { - // AppliedDisp = (Time-0.8) * (dMax / 0.1); - // } else { - // AppliedDisp = dMax; - // } - // } - // } - // } - // } - // } - // } - // } - // } - // } else if (ImplicitStatic) { - // AppliedDisp = dMax; - // } - int index; - - for (int i = 0; i < nNodes; i++) { - // if x value = 0, constrain node to x plane (0-direction) - index = ndim * i + 0; - if (fabs(coordinates[index] - 0.0) < tol) { - boundary[index] = 1; - displacements[index] = 0.0; - velocities[index] = 0.0; - // For energy computations - accelerations[index] = 0.0; - count = count + 1; - } - // if y coordinate = 0, constrain node to y plane (1-direction) - index = ndim * i + 1; - if (fabs(coordinates[index] - 0.0) < tol) { - boundary[index] = 1; - displacements[index] = 0.0; - velocities[index] = 0.0; - accelerations[index] = 0.0; - count = count + 1; - } - // if z coordinate = 0, constrain node to z plane (2-direction) - index = ndim * i + 2; - if (fabs(coordinates[index] - 0.0) < tol) { - boundary[index] = 1; - displacements[index] = 0.0; - velocities[index] = 0.0; - accelerations[index] = 0.0; - count = count + 1; - } - // if y coordinate = 1, apply disp. to node = 0.1 (1-direction) - index = ndim * i + 1; - if (fabs(coordinates[index] - 0.005) < tol) { - boundary[index] = 1; - count = count + 1; - // note that this may have to be divided into - // diplacement increments for both implicit and - // explicit solver. In the future this would be - // equal to some time dependent function i.e., - // CalculateDisplacement to get current increment out - // displacment to be applied. - displacements[index] = AppliedDisp; - velocities[index] = dMax / tMax; - // For energy computations - accelerations[index] = 0.0; - } - } - FILE_LOG_MASTER(INFO, "Time = %10.5E, Applied Disp = %10.5E", Time, - AppliedDisp); - return; -} - void ApplyVelocityBoundaryConditions(double) { double tol = 1e-5; int index; diff --git a/src/fem/SolidMechanics/CheckEnergy.cpp b/src/fem/SolidMechanics/CheckEnergy.cpp index e213ebf5..62c93df0 100644 --- a/src/fem/SolidMechanics/CheckEnergy.cpp +++ b/src/fem/SolidMechanics/CheckEnergy.cpp @@ -5,24 +5,25 @@ void CheckEnergy(double time, bool writeFlag) { static double Wext_n = 0.0; /* Energy Calculations are based on Belytschko et al. book - Section 6.2.3 Energy Balance */ + Section 6.2.3 Energy Balance */ /* Calculate Internal and External Energies */ /* Calculate Kinetic Energy */ double sum_Wint_n = 0.0; - double sum_Wext_n = 0.0; - double delta_d = 0.0; + double sum_Wext_n = 0.0; + double delta_d = 0.0; double WKE = 0.0; // Calculate in parallel // Loop over all the nodes - for(int i = 0; i < nNodes; ++i) { + for (int i = 0; i < nNodes; ++i) { bool includeSum = true; for (int j = 0; (j < sendProcessCount) && includeSum; ++j) { // If sending to a node with lower rank its already included // in the KE calculation if (sendProcessID[j] < world_rank) { - for (int k = sendNeighbourCountCum[j]; k < sendNeighbourCountCum[j+1]; ++k) { + for (int k = sendNeighbourCountCum[j]; k < sendNeighbourCountCum[j + 1]; + ++k) { if (sendNodeIndex[k] == i) { includeSum = false; break; @@ -32,19 +33,24 @@ void CheckEnergy(double time, bool writeFlag) { } } if (includeSum) { - int index = i*ndim; + int index = i * ndim; for (int j = 0; j < ndim; ++j) { int indexJ = index + j; - delta_d = displacements[indexJ]-displacements_prev[indexJ]; - WKE += mass[indexJ]*velocities[indexJ]*velocities[indexJ]; - if (boundary[indexJ]) { - // Fext = Fint + m*Acceleration - double reaction = fi_prev[indexJ] + fi[indexJ] + mass[indexJ]*(accelerations[indexJ]+accelerations_prev[indexJ]); - - sum_Wext_n += delta_d*reaction; + delta_d = displacements[indexJ] - displacements_prev[indexJ]; + WKE += mass[indexJ] * velocities[indexJ] * velocities[indexJ]; + // if (boundary[indexJ]) { + // // Fext = Fint + m*Acceleration + // double reaction = fi_prev[indexJ] + fi[indexJ] + + // mass[indexJ] * (accelerations[indexJ] + + // accelerations_prev[indexJ]); + // sum_Wext_n += delta_d * reaction; + // } + // sum_Wint_n += delta_d * (fi_prev[indexJ] + fi[indexJ]); #<{(| equ 6.2.14 |)}># + // sum_Wext_n += delta_d * (fe_prev[indexJ] + fe[indexJ]); #<{(| equ 6.2.15 |)}># + if (!boundary[indexJ]) { + sum_Wint_n += delta_d * (fi_prev[indexJ] + fi[indexJ]); /* equ 6.2.14 */ } - sum_Wint_n += delta_d*(fi_prev[indexJ] + fi[indexJ]); /* equ 6.2.14 */ - sum_Wext_n += delta_d*(fe_prev[indexJ] + fe[indexJ]); /* equ 6.2.15 */ + sum_Wext_n += delta_d * (fe_prev[indexJ] + fe[indexJ]); /* equ 6.2.15 */ } } } @@ -54,17 +60,19 @@ void CheckEnergy(double time, bool writeFlag) { double WKE_Total = 0.0, Wint_n_total = 0.0, Wext_n_total = 0.0; MPI_Reduce(&WKE, &WKE_Total, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); - MPI_Reduce(&sum_Wint_n, &Wint_n_total, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); - MPI_Reduce(&sum_Wext_n, &Wext_n_total, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); + MPI_Reduce(&sum_Wint_n, &Wint_n_total, 1, MPI_DOUBLE, MPI_SUM, 0, + MPI_COMM_WORLD); + MPI_Reduce(&sum_Wext_n, &Wext_n_total, 1, MPI_DOUBLE, MPI_SUM, 0, + MPI_COMM_WORLD); - if (world_rank ==0) { + if (world_rank == 0) { Wint_n += Wint_n_total; Wext_n += Wext_n_total; - double total = fabs(WKE_Total+Wint_n-Wext_n); - FILE_LOG_SINGLE(DEBUGLOG, "Internal Work : %15.9e", Wint_n); - FILE_LOG_SINGLE(DEBUGLOG, "External Work : %15.9e", Wext_n); - FILE_LOG_SINGLE(DEBUGLOG, "Kinetic Energy : %15.9e", WKE_Total); - FILE_LOG_SINGLE(DEBUGLOG, "Total Energy : %15.9e", total); + double total = fabs(WKE_Total + Wint_n - Wext_n); + FILE_LOG_SINGLE(WARNING, "Internal Work : %15.9e", Wint_n); + FILE_LOG_SINGLE(WARNING, "External Work : %15.9e", Wext_n); + FILE_LOG_SINGLE(WARNING, "Kinetic Energy : %15.9e", WKE_Total); + // FILE_LOG_SINGLE(WARNING, "Total Energy : %15.9e", total); double max = fabs(Wint_n); if (max < fabs(Wext_n)) { @@ -74,8 +82,11 @@ void CheckEnergy(double time, bool writeFlag) { max = fabs(WKE_Total); } const double epsilon = 0.01; - if (total > epsilon*max) { - FILE_LOG_MASTER(WARNING, "Energy Violation. Total = %15.9e, Max = %15.9e, Error\% : %10.2f", total, max, total*100.0/max); + if (total > epsilon * max) { + FILE_LOG_MASTER( + WARNING, + "Energy Violation. Total = %15.9e, Max = %15.9e, Error\% : %10.2f", + total, max, total * 100.0 / max); } if (writeFlag) { fprintf(energyFile, "%12.6e %12.6e %12.6e %12.6e %12.6e\n", time, From 1101c532f4e70d61bd31d00b1f1826562f1c821a Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 7 Jun 2021 23:44:38 +0530 Subject: [PATCH 047/106] Moidfications to ex5 --- examples/ex5/ex5.cpp | 41 +++++++++++++++++------------------------ 1 file changed, 17 insertions(+), 24 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 84162d28..9c43a767 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -243,17 +243,16 @@ int main(int argc, char **argv) { while (Time < tMax) { t_n = Time; double t_np1 = Time + dt; - Time = t_np1; /*Update the time by adding full time step */ - double dt_nphalf = dt; // equ 6.2.1 - double t_nphalf = 0.5 * (t_np1 + t_n); // equ 6.2.1 + Time = t_np1; /*Update the time by adding full time step */ + double dtby2 = 0.5*dt; + double t_nphalf = t_n + dtby2; // equ 6.2.1 + /* Step 6 Enforce boundary Conditions */ + ApplyAccBoundaryConditions(); /* Step 5 from Belytschko Box 6.1 - Update velocity */ for (int i = 0; i < nDOF; i++) { - if (boundary[i]) { - velocities_half[i] = velocities[i]; - } else { - velocities_half[i] = - velocities[i] + (t_nphalf - t_n) * accelerations[i]; + if (!boundary[i]) { + velocities_half[i] = velocities[i] + dtby2 * accelerations[i]; } } @@ -264,13 +263,10 @@ int main(int argc, char **argv) { memcpy(fi_prev, fi, nDOF * sizeof(double)); memcpy(fe_prev, fe, nDOF * sizeof(double)); + // update displacements for all nodes, including where velocity bc is set for (int i = 0; i < nDOF; i++) { - if (!boundary[i]) { - displacements[i] = displacements[i] + dt_nphalf * velocities_half[i]; - } + displacements[i] = displacements[i] + dt * velocities_half[i]; } - /* Step 6 Enforce boundary Conditions */ - ApplyAccBoundaryConditions(); /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ GetForce(); // Calculating the force term. @@ -280,10 +276,7 @@ int main(int argc, char **argv) { /** Step- 10 - Second Partial Update of Nodal Velocities */ for (int i = 0; i < nDOF; i++) { - if (!boundary[i]) { - velocities[i] = - velocities_half[i] + (t_np1 - t_nphalf) * accelerations[i]; - } + velocities[i] = velocities_half[i] + dtby2 * accelerations[i]; } /** Step - 11 Checking* Energy Balance */ @@ -382,7 +375,7 @@ void ApplyAccBoundaryConditions() { double omegaR[3], omega[3], omegaOmegaR[3], omegaVel[3], vel[3]; // vectors double alpha[3], alphaR[3], locV[3]; - rk.do_step(computeDerivatives, yInt, ydotInt, Time - dt, dt); + rk.do_step(computeDerivatives, yInt, ydotInt, Time - dt, 0.5*dt); r[0] = 0.0; r[1] = yInt[3]; r[2] = yInt[4]; @@ -410,17 +403,17 @@ void ApplyAccBoundaryConditions() { V[3] = locV[2]; quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} crossProduct(omega, &(Vp[1]), omegaR); - crossProduct(omega, omegaR, omegaOmegaR); - crossProduct(omega, vel, omegaVel); - crossProduct(alpha, &(Vp[1]), alphaR); + // crossProduct(omega, omegaR, omegaOmegaR); + // crossProduct(omega, vel, omegaVel); + // crossProduct(alpha, &(Vp[1]), alphaR); for (int j = 0; j < ndim; ++j) { // Displacement - displacements[index + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; + // displacements[index + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; // Velocity velocities[index + j] = omegaR[j] + yInt[6 + j]; // Acceleration - accelerations[index + j] = - 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; + // accelerations[index + j] = + // 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; } } // Rotate points to plot to obtain their rigid displacements From 88171f706a291f20efe42f94c2b4becbeeb4ed5a Mon Sep 17 00:00:00 2001 From: RitikaMenghani <36120424+RitikaMenghani@users.noreply.github.com> Date: Fri, 25 Jun 2021 12:24:03 -0400 Subject: [PATCH 048/106] updated ogden, ogdenvisco and ex5 For ex5 changed velocities to velocities_half on line 413 --- examples/ex5/ex5.cpp | 10 +-- src/materials/Ogden.cpp | 64 +++++++++++++------- src/materials/OgdenViscoelastic.cpp | 94 +++++++++++++++++++---------- 3 files changed, 107 insertions(+), 61 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 9c43a767..8c24c04f 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -186,7 +186,7 @@ int main(int argc, char **argv) { if (writeField) { if (computeInjuryFlag) { WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, - outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, outputDoubleCount, outputDoubleNames); } else { WriteVTU(outputFileName.c_str(), plot_counter); @@ -301,7 +301,7 @@ int main(int argc, char **argv) { FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); if (computeInjuryFlag) { WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, - outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, outputDoubleCount, outputDoubleNames); } else { WriteVTU(outputFileName.c_str(), plot_counter); @@ -410,7 +410,7 @@ void ApplyAccBoundaryConditions() { // Displacement // displacements[index + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; // Velocity - velocities[index + j] = omegaR[j] + yInt[6 + j]; + velocities_half[index + j] = omegaR[j] + yInt[6 + j]; // Acceleration // accelerations[index + j] = // 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; @@ -1453,9 +1453,9 @@ void InitInjuryCriteria(void) { } // for (int i = 0; i < percentileQuantities; ++i) { // outputDataArray[threshQuantities + i] = - // percentileElements[i]; + // percentileElements[i]; // } - outputDataArray[threshQuantities] = + outputDataArray[threshQuantities] = percentileElements[0]; // Write MPS-95 to paraview // Percentile Values // Write MPS-95-Value diff --git a/src/materials/Ogden.cpp b/src/materials/Ogden.cpp index 7b9be490..81c90269 100644 --- a/src/materials/Ogden.cpp +++ b/src/materials/Ogden.cpp @@ -3,7 +3,6 @@ #include "lapack.h" #include -#include /* Implements the Ogden Model * Expected material properties : @@ -12,6 +11,10 @@ * N_{Ogden} = properties(2), maximum value of 3 * \alpha_i = properties(3+2*i) i = 0 to N_{Ogden}-1 * \mu_i = properties(4+2*i) i = 0 to N_{Ogden}-1 + * N_{Prony} = properties(3+N_{Ogden}*2), maximum value of 6 + * g_i = properties(4+2*N_{Ogden}+2*j) j = 0 to N_{Prony}-1 + * \tau_i = properties(5+2*N_{Ogden}+2*j) j = 0 to N_{Prony}-1 + * MAXMATPARAMS = 4+2*(N_{Ogden}+N_{Prony}) = 22 * */ void Ogden(int e, int gp) { @@ -20,6 +23,10 @@ void Ogden(int e, int gp) { TerminateFemTech(3); } // Assumes ndim == 3 + // Pointer to start of deformation gradient matrix for given element number + // and Gauss point + const int index = fptr[e] + ndim * ndim * gp; + // Get material property ID to read material properties const int pideIndex = pid[e]*MAXMATPARAMS; // Get location of array with material properties of the element @@ -27,30 +34,35 @@ void Ogden(int e, int gp) { // Read material properties const double K = localProperties[1]; const int nTerm = static_cast(localProperties[2]); - - // b = F F^T + const unsigned int matSize = ndim * ndim; double *H = mat1; ComputeH(e, gp, H); // Compute and store F = H + I - const unsigned int index = fptr[e] + ndim * ndim * gp; double * const F_element_gp = &(F[index]); for (unsigned int i = 0; i < ndim2; ++i) { - F_element_gp[i] = H[i]; - } + F_element_gp[i] = H[i]; + } F_element_gp[0] = F_element_gp[0] + 1.0; F_element_gp[4] = F_element_gp[4] + 1.0; F_element_gp[8] = F_element_gp[8] + 1.0; - double *b = mat2; - // Compute F F^T and store to b + // Use temp storage mat2 for Finverse + double *fInv = mat2; + // Compute F inverse + double J = inverse3x3Matrix(F_element_gp, fInv); + //InverseF(e, gp, fInv); + // Use temp storage 2 for storing Bmat + double *Bmat = mat3; + // Compute B = FF^T and compute its eigen values dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, - F_element_gp, &ndim, &zero, b, &ndim); + F_element_gp, &ndim, &zero, Bmat, &ndim); + + double invJ = 1.0/J; // Compute eigen values and eigenvectors of B + int nEigen; double cEigenValue[ndim]; double dWork[workSize]; - dsyev_(jobzV, uploU, &ndim, b, &ndim, cEigenValue, dWork, &workSize, &info); - // b now contains the eigen vectors of b - - // Correct Eigen Values for numerical inaccuracy + + // Correct Eigen Values for numerical inaccuracy double delat01 = fabs(cEigenValue[0] - cEigenValue[1]); double delat12 = fabs(cEigenValue[1] - cEigenValue[2]); double delat02 = fabs(cEigenValue[0] - cEigenValue[2]); @@ -60,28 +72,34 @@ void Ogden(int e, int gp) { if (delat02 < eigenTol) cEigenValue[2] = cEigenValue[0]; if (delat12 < eigenTol) cEigenValue[2] = cEigenValue[1]; + dsyev_(jobzV, uploU, &ndim, Bmat, &ndim, cEigenValue, dWork, &workSize, &info); + // Compute sqrt of lambda and multiply by J^{-1/3} + const double Jm13 = pow(J, -1.0/3.0); for (int i = 0; i < ndim; ++i) { - cEigenValue[i] = sqrt(cEigenValue[i]); + cEigenValue[i] = sqrt(cEigenValue[i])*Jm13; } - const double J = det3x3Matrix(F_element_gp); - FILE_LOG_SINGLE(WARNING, "Det 1 = %15.6e, Det 2 = %15.6e", J, - cEigenValue[0]*cEigenValue[1]*cEigenValue[2]); - const double invJ = 1.0/J; + // Compute F^-1(cEigenVector) + // Each column of basisVec points to F^{-1}*e where e is the eigen vector of B + // matrix + //double *basisVec = mat3; + //dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, + // Bmat, &ndim, &zero, basisVec, &ndim); - double *sigma_e = mat3; - for (int i = 0; i < ndim2; ++i) { + double *sigma_e = mat1; //check + for(int i = 0; i Date: Mon, 2 Aug 2021 12:42:10 -0400 Subject: [PATCH 049/106] fixed multishear case --- examples/CMakeLists.txt | 1 + examples/ex19/CMakeLists.txt | 3 +- examples/ex19/ex19.cpp | 68 ++- examples/ex19/lsdyna/RIdisp.txt | 83 +++ examples/ex19/lsdyna/RIstress.txt | 109 ++++ examples/ex19/materials.dat | 2 +- examples/ex19/wideshear.k | 575 ++++++++++++++++++ examples/ex5/ex5.cpp | 6 +- examples/ex9/ex9.cpp | 14 +- include/FemTech.h | 1 + include/GlobalVariables.h | 7 +- src/elements/CMakeLists.txt | 5 +- .../CalculateCentroidAndVolume.cpp | 15 + .../CalculateCharacteristicLength.cpp | 4 + .../ElementCalculations/ComputeHG.cpp | 87 +++ src/fem/AllocateArrays.cpp | 14 + src/fem/Mass/Mass3D.cpp | 4 +- src/fem/ShapeFunctions/GaussQuadrature3D.cpp | 8 + src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp | 2 +- src/fem/ShapeFunctions/ShapeFunctions.cpp | 66 ++ src/fem/SolidMechanics/GetForce_3D.cpp | 7 +- src/io/input/ReadLsDyna.cpp | 5 +- src/io/output/WriteVTU.cpp | 3 + 23 files changed, 1042 insertions(+), 47 deletions(-) create mode 100644 examples/ex19/lsdyna/RIdisp.txt create mode 100644 examples/ex19/lsdyna/RIstress.txt create mode 100644 examples/ex19/wideshear.k create mode 100644 src/elements/ElementCalculations/ComputeHG.cpp diff --git a/examples/CMakeLists.txt b/examples/CMakeLists.txt index a3f463c4..32bd40dd 100644 --- a/examples/CMakeLists.txt +++ b/examples/CMakeLists.txt @@ -16,6 +16,7 @@ option (EXAMPLE15 "3D course brain model - lsdyna k format based off of simon m option (EXAMPLE16 "6-elements per direction hex model - abaqus inp format" OFF) option (EXAMPLE17 "Plate Impact problem of Valerie Martin - abaqus inp format" OFF) option (EXAMPLE18 "Full Brain model validation" OFF) +option (EXAMPLE19 "Multiple element shear" OFF) option (Benchmarking-Parallel "Parallel-Benchmarks" OFF) if (EXAMPLE1) diff --git a/examples/ex19/CMakeLists.txt b/examples/ex19/CMakeLists.txt index eb10cbb2..158c9e2c 100644 --- a/examples/ex19/CMakeLists.txt +++ b/examples/ex19/CMakeLists.txt @@ -11,10 +11,11 @@ else() endif(ENABLE_MPI) file(INSTALL 1-elt-cube.k DESTINATION .) +file(INSTALL wideshear.k DESTINATION .) file(INSTALL materials.dat DESTINATION .) file(INSTALL gnuplot.script DESTINATION .) file(INSTALL README.md DESTINATION .) -file(INSTALL ls-dyna DESTINATION .) +file(INSTALL lsdyna DESTINATION .) file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results) file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results/vtu) diff --git a/examples/ex19/ex19.cpp b/examples/ex19/ex19.cpp index a50684fa..3fc4db8b 100644 --- a/examples/ex19/ex19.cpp +++ b/examples/ex19/ex19.cpp @@ -12,19 +12,20 @@ double Time, dt; int nSteps; double dynamicDamping = 0.000; -double ExplicitTimeStepReduction = 0.7; +double ExplicitTimeStepReduction = 0.668; double FailureTimeStep = 1e-11; double MaxTimeStep = 1e-1; -int nPlotSteps = 1000; -int nFieldSkip = 20; // 1 in nFieldSkip plot steps will be used to output VTU +int nPlotSteps = 50; +int nFieldSkip = 1; // 1 in nFieldSkip plot steps will be used to output VTU bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; +bool RI = true; // Parameters of simple tension test double tMax = 1.00; // max simulation time in seconds -double dMax = 0.007; // max displacment in meters +double dMax = 0.001; // max displacment in meters int main(int argc, char **argv) { // feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); @@ -124,6 +125,8 @@ int main(int argc, char **argv) { // Store internal external force from previous step to compute energy memcpy(fi_prev, fi, nDOF * sizeof(double)); memcpy(fe_prev, fe, nDOF * sizeof(double)); + if(RI) + memcpy(f_hgprev, f_hg, nDOF * sizeof(double)); // update displacements for all nodes, including where velocity bc is set for (int i = 0; i < nDOF; i++) { @@ -186,23 +189,30 @@ void ApplyVelocityBoundaryConditions(double) { int index; for (int i = 0; i < nNodes; i++) { + // if x value = 0, constrain node to x plane (0-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index-1] = 0.0; + } // if y coordinate = 0, constrain node to y plane (1-direction) index = ndim * i + 1; if (fabs(coordinates[index] - 0.0) < tol) { velocities_half[index] = 0.0; - // Constraint x in y = 0 plane - velocities_half[index-1] = 0.0; - // Constraint z in y = 0 plane - velocities_half[index+1] = 0.0; } - // if y coordinate = 1, apply disp. to node in x direction (1-direction) - // index = ndim * i + 1; + // if z coordinate = 0, constrain node to z plane (2-direction) + index = ndim * i + 2; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index] = 0.0; + } if (fabs(coordinates[index] - 0.005) < tol) { velocities_half[index] = 0.0; - // Constraint x in y = 1 plane and prescribe motion + } + // if y coordinate = 1, apply disp. to node = 0.1 (1-direction) + // if y coordinate = 1, apply disp. to node = 0.1 (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.001) < tol) { velocities_half[index-1] = dMax / tMax; - // Constraint z in y = 1 plane - velocities_half[index+1] = 0.0; + velocities_half[index] = 0.0; } } FILE_LOG_MASTER(INFO, "Time = %10.5E, Applied Velocity = %10.5E", Time, @@ -214,23 +224,29 @@ void InitVelocityBoundaryConditions() { double tol = 1e-5; int index; for (int i = 0; i < nNodes; i++) { + // if x value = 0, constrain node to x plane (0-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + boundary[index-1] = 1; + } // if y coordinate = 0, constrain node to y plane (1-direction) index = ndim * i + 1; if (fabs(coordinates[index] - 0.0) < tol) { boundary[index] = 1; - // Constraint x in y = 0 plane - boundary[index-1] = 1; - // Constraint z in y = 0 plane - boundary[index+1] = 1; } - // if y coordinate = 1, apply disp. to node in x direction (1-direction) - // index = ndim * i + 1; + // if z coordinate = 0, constrain node to z plane (2-direction) + index = ndim * i + 2; + if (fabs(coordinates[index] - 0.0) < tol) { + boundary[index] = 1; + } if (fabs(coordinates[index] - 0.005) < tol) { boundary[index] = 1; - // Constraint x in y = 1 plane + } + // if y coordinate = 1, apply disp. to node = 0.1 (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.001) < tol) { boundary[index-1] = 1; - // Constraint z in y = 1 plane - boundary[index+1] = 1; + boundary[index] = 1; } } return; @@ -254,9 +270,9 @@ void CustomPlot() { } else { datFile = fopen("plot.dat", "a"); for (int i = 0; i < nNodes; i++) { - if (fabs(coordinates[ndim * i + x] - 0.005) < tol && - fabs(coordinates[ndim * i + y] - 0.005) < tol && - fabs(coordinates[ndim * i + z] - 0.005) < tol) { + if (fabs(coordinates[ndim * i + x] - 0.002) < tol && + fabs(coordinates[ndim * i + y] - 0.0005) < tol && + fabs(coordinates[ndim * i + z] - 0.002) < tol) { fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e ", Time, displacements[ndim * i + x], displacements[ndim * i + y], @@ -265,7 +281,7 @@ void CustomPlot() { } // Compute Cauchy stress for the element double stressElem[6]; - CalculateElementStress(0, stressElem); + CalculateElementStress(94, stressElem); // Print all six stress components of 1st element stress fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", stressElem[0], stressElem[1], stressElem[2], stressElem[5], diff --git a/examples/ex19/lsdyna/RIdisp.txt b/examples/ex19/lsdyna/RIdisp.txt new file mode 100644 index 00000000..94371b46 --- /dev/null +++ b/examples/ex19/lsdyna/RIdisp.txt @@ -0,0 +1,83 @@ +Curveplot +LS-DYNA keyword deck by LS-PrePost +Time +Nodal Data +Node no. +X-displacement #pts=22 +* Minval= 0.000000000000e+00 at time= 0.000000000000 +* Maxval= 5.001551471651e-04 at time= 1.000000357628 + 0.000000000000e+00 0.000000000000e+00 + 4.999651759863e-02 2.514640800655e-05 + 9.999430179596e-02 5.002715624869e-05 + 1.499948352575e-01 7.484410889447e-05 + 1.999946981668e-01 9.995838627219e-05 + 2.499986588955e-01 1.250063069165e-04 + 2.999957799911e-01 1.500870566815e-04 + 3.499954342842e-01 1.749859657139e-04 + 3.999980092049e-01 2.000376116484e-04 + 4.499959647655e-01 2.250261604786e-04 + 4.999952316284e-01 2.500088885427e-04 + 5.499967336655e-01 2.749983686954e-04 + 5.999976396561e-01 3.000015858561e-04 + 6.499995589256e-01 3.250315785408e-04 + 6.999999284744e-01 3.500480670482e-04 + 7.499989867210e-01 3.750871401280e-04 + 7.999994158745e-01 4.000631161034e-04 + 8.499981164932e-01 4.251117352396e-04 + 8.999981880188e-01 4.500809591264e-04 + 9.499968886375e-01 4.751032683998e-04 + 9.999963045120e-01 5.001530516893e-04 + 1.000000357628e+00 5.001551471651e-04 +endcurve +Y-displacement-2478 #pts=22 +* Minval= 0.000000000000e+00 at time= 0.000000000000 +* Maxval= 1.901935320348e-06 at time= 0.999996304512 + 0.000000000000e+00 0.000000000000e+00 + 4.999651759863e-02 9.895302355289e-09 + 9.999430179596e-02 2.305023372173e-08 + 1.499948352575e-01 3.777677193284e-08 + 1.999946981668e-01 4.837056621909e-08 + 2.499986588955e-01 7.060589268804e-08 + 2.999957799911e-01 9.842915460467e-08 + 3.499954342842e-01 1.328298822045e-07 + 3.999980092049e-01 1.747393980622e-07 + 4.499959647655e-01 2.314336597919e-07 + 4.999952316284e-01 3.037857823074e-07 + 5.499967336655e-01 3.937166184187e-07 + 5.999976396561e-01 5.107140168548e-07 + 6.499995589256e-01 6.525660865009e-07 + 6.999999284744e-01 8.158967830241e-07 + 7.499989867210e-01 9.828945621848e-07 + 7.999994158745e-01 1.197739038616e-06 + 8.499981164932e-01 1.372012775391e-06 + 8.999981880188e-01 1.568289007992e-06 + 9.499968886375e-01 1.768115907907e-06 + 9.999963045120e-01 1.901935320348e-06 + 1.000000357628e+00 1.901935320348e-06 +endcurve +Z-displacement-2478 #pts=22 +* Minval= -3.236345946789e-08 at time= 0.699999928474 +* Maxval= 3.376044332981e-08 at time= 0.999996304512 + 0.000000000000e+00 0.000000000000e+00 + 4.999651759863e-02 -2.328306436539e-09 + 9.999430179596e-02 -2.561137080193e-09 + 1.499948352575e-01 -3.725290298462e-09 + 1.999946981668e-01 -3.492459654808e-09 + 2.499986588955e-01 -5.355104804039e-09 + 2.999957799911e-01 -4.656612873077e-09 + 3.499954342842e-01 -4.190951585770e-09 + 3.999980092049e-01 -7.683411240578e-09 + 4.499959647655e-01 -1.094304025173e-08 + 4.999952316284e-01 -1.839362084866e-08 + 5.499967336655e-01 -2.421438694000e-08 + 5.999976396561e-01 -2.421438694000e-08 + 6.499995589256e-01 -2.910383045673e-08 + 6.999999284744e-01 -3.236345946789e-08 + 7.499989867210e-01 -2.747401595116e-08 + 7.999994158745e-01 -2.468004822731e-08 + 8.499981164932e-01 -1.396983861923e-08 + 8.999981880188e-01 -1.885928213596e-08 + 9.499968886375e-01 9.313225746155e-09 + 9.999963045120e-01 3.376044332981e-08 + 1.000000357628e+00 3.376044332981e-08 +endcurve diff --git a/examples/ex19/lsdyna/RIstress.txt b/examples/ex19/lsdyna/RIstress.txt new file mode 100644 index 00000000..1e1cb512 --- /dev/null +++ b/examples/ex19/lsdyna/RIstress.txt @@ -0,0 +1,109 @@ +Curveplot +LS-DYNA keyword deck by LS-PrePost +Time +Element Data +Element no. +X-stress #pts=22 +* Minval= -1.002343383789e+03 at time= 0.649999558926 +* Maxval= 5.516754882812e+03 at time= 0.999996304512 + 0.000000000000e+00 0.000000000000e+00 + 4.999651759863e-02 -4.998336791992e+01 + 9.999430179596e-02 -1.014973831177e+02 + 1.499948352575e-01 -1.514806671143e+02 + 1.999946981668e-01 -2.093952331543e+02 + 2.499986588955e-01 -2.738075561523e+02 + 2.999957799911e-01 -3.493046569824e+02 + 3.499954342842e-01 -4.366623535156e+02 + 3.999980092049e-01 -5.379168701172e+02 + 4.499959647655e-01 -6.473392944336e+02 + 4.999952316284e-01 -7.646708984375e+02 + 5.499967336655e-01 -8.768695678711e+02 + 5.999976396561e-01 -9.654538574219e+02 + 6.499995589256e-01 -1.002343383789e+03 + 6.999999284744e-01 -9.485343627930e+02 + 7.499989867210e-01 -7.134564208984e+02 + 7.999994158745e-01 -3.625344543457e+02 + 8.499981164932e-01 4.762820434570e+02 + 8.999981880188e-01 1.510852905273e+03 + 9.499968886375e-01 3.079369628906e+03 + 9.999963045120e-01 5.516754882812e+03 + 1.000000357628e+00 5.516754882812e+03 +endcurve +Y-stress-1759 #pts=22 +* Minval= -2.418508398438e+04 at time= 0.999996304512 +* Maxval= 0.000000000000e+00 at time= 0.000000000000 + 0.000000000000e+00 0.000000000000e+00 + 4.999651759863e-02 -5.262639617920e+01 + 9.999430179596e-02 -1.126533889771e+02 + 1.499948352575e-01 -1.786119537354e+02 + 1.999946981668e-01 -2.623881225586e+02 + 2.499986588955e-01 -3.671751098633e+02 + 2.999957799911e-01 -5.038536376953e+02 + 3.499954342842e-01 -6.833812255859e+02 + 3.999980092049e-01 -9.200895996094e+02 + 4.499959647655e-01 -1.228171142578e+03 + 4.999952316284e-01 -1.633752197266e+03 + 5.499967336655e-01 -2.160938964844e+03 + 5.999976396561e-01 -2.842439941406e+03 + 6.499995589256e-01 -3.719574951172e+03 + 6.999999284744e-01 -4.851062500000e+03 + 7.499989867210e-01 -6.274716308594e+03 + 7.999994158745e-01 -8.238718750000e+03 + 8.499981164932e-01 -1.059450195312e+04 + 8.999981880188e-01 -1.397032714844e+04 + 9.499968886375e-01 -1.843207031250e+04 + 9.999963045120e-01 -2.418508398438e+04 + 1.000000357628e+00 -2.418508398438e+04 +endcurve +Z-stress-1759 #pts=22 +* Minval= -2.141056976318e+02 at time= 0.399998009205 +* Maxval= 1.673203515625e+04 at time= 0.999996304512 + 0.000000000000e+00 0.000000000000e+00 + 4.999651759863e-02 -4.676422500610e+01 + 9.999430179596e-02 -8.820754241943e+01 + 1.499948352575e-01 -1.202613525391e+02 + 1.999946981668e-01 -1.511524047852e+02 + 2.499986588955e-01 -1.768362731934e+02 + 2.999957799911e-01 -1.986818542480e+02 + 3.499954342842e-01 -2.121636199951e+02 + 3.999980092049e-01 -2.141056976318e+02 + 4.499959647655e-01 -1.898875274658e+02 + 4.999952316284e-01 -1.286681671143e+02 + 5.499967336655e-01 -3.420690298080e+00 + 5.999976396561e-01 2.223916778564e+02 + 6.499995589256e-01 5.998920288086e+02 + 6.999999284744e-01 1.198339721680e+03 + 7.499989867210e-01 2.146867919922e+03 + 7.999994158745e-01 3.429380615234e+03 + 8.499981164932e-01 5.478948730469e+03 + 8.999981880188e-01 8.086105957031e+03 + 9.499968886375e-01 1.168295996094e+04 + 9.999963045120e-01 1.673203515625e+04 + 1.000000357628e+00 1.673203515625e+04 +endcurve +XY-stress-1759 #pts=22 +* Minval= 0.000000000000e+00 at time= 0.000000000000 +* Maxval= 2.948627734375e+04 at time= 0.999996304512 + 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a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -36,11 +36,12 @@ int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; +bool RI = false; double dynamicDamping = 0.000; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-8; // Set for max runtime of around 5 hrs on aws -double MaxTimeStep = 1e-5; +double MaxTimeStep = 1e-7; int nPlotSteps = 50; int nWriteSteps = 2000; @@ -52,7 +53,7 @@ int *boundaryID = NULL; int boundarySize; double peakTime, tMax; bool writeField = true; -bool computeInjuryFlag = true; +bool computeInjuryFlag = false; /* Global variables for output */ int *outputNodeList; int outputNodeCount = 0; @@ -742,6 +743,7 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { for (int i = 0; i < linAccXSize; ++i) { // linAccXv[i] = gC*linAccXv[i]; linAccXt[i] = 0.001 * linAccXt[i]; +printf("%.10f %.10f\n", linAccXv[i], linAccXt[i]); } for (int i = 0; i < linAccYSize; ++i) { // linAccYv[i] = gC*linAccYv[i]; diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 07b908af..d991e948 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -16,15 +16,15 @@ double ExplicitTimeStepReduction = 0.7; double FailureTimeStep = 1e-11; double MaxTimeStep = 1e-1; -int nPlotSteps = 1000; -int nFieldSkip = 20; // 1 in nFieldSkip plot steps will be used to output VTU +int nPlotSteps = 50; +int nFieldSkip = 1; // 1 in nFieldSkip plot steps will be used to output VTU bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; // Parameters of simple tension test double tMax = 1.00; // max simulation time in seconds -double dMax = 0.007; // max displacment in meters +double dMax = -0.002; // max displacment in meters int main(int argc, char **argv) { // feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); @@ -187,9 +187,9 @@ void ApplyVelocityBoundaryConditions(double) { for (int i = 0; i < nNodes; i++) { // if x value = 0, constrain node to x plane (0-direction) - index = ndim * i + 0; + index = ndim * i; if (fabs(coordinates[index] - 0.0) < tol) { - velocities_half[index] = 0.0; + velocities_half[index-1] = 0.0; } // if y coordinate = 0, constrain node to y plane (1-direction) index = ndim * i + 1; @@ -217,7 +217,7 @@ void InitVelocityBoundaryConditions() { int index; for (int i = 0; i < nNodes; i++) { // if x value = 0, constrain node to x plane (0-direction) - index = ndim * i + 0; + index = ndim * i; if (fabs(coordinates[index] - 0.0) < tol) { boundary[index] = 1; } @@ -269,7 +269,7 @@ void CustomPlot() { } // Compute Cauchy stress for the element double stressElem[6]; - CalculateElementStress(0, stressElem); + CalculateElementStress(63, stressElem); // Print all six stress components of 1st element stress fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", stressElem[0], stressElem[1], stressElem[2], stressElem[5], diff --git a/include/FemTech.h b/include/FemTech.h index 66c33329..ddb64c48 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -143,5 +143,6 @@ void TerminateFemTech(int errorCode); /* Functions for updated Lagrangian formulation */ void CalculateF_XiAndInverse(int e, int gp); void ComputeH(int e, int gp, double *H); +void ComputeHG(int e, double *F); void InternalForceUpdateUL(int e, int gp, double *force); #endif diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index a2022bf0..5ef9f73f 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -11,12 +11,13 @@ static const int MAXOGDEN = 3; /* maximum terms for Ogden material model */ ID */ static const int materialWeight[] = {1, 10, 10, 10, 15, 20, 10, 20, 20}; /* Weights based on element type 0 = C3D8, 1 = C3D4, 2 = T3D2 */ -static const std::map elemID = {{"C3D8", 0}, {"C3D4", 1}, {"T3D2", 2}}; -static const int elemWeight[] = {2, 1, 1}; +static const std::map elemID = {{"C3D8", 0}, {"C3D4", 1}, {"T3D2", 2}, {"C3D8R", 3}}; +static const int elemWeight[] = {2, 1, 1, 1}; const double huge = 1e20; extern double dynamicDamping; +extern bool RI; extern std::string uid; /* Simulation unique id */ extern int nparts; @@ -82,6 +83,8 @@ extern double *fr_prev; extern double *fr_curr; extern double *f_damp_prev; extern double *f_damp_curr; +extern double *f_hg; +extern double *f_hgprev; extern double *displacements_prev; /*displacements for previous step - used in engery calculation*/ extern double *accelerations_prev; /*displacements for previous step - used in engery calculation*/ diff --git a/src/elements/CMakeLists.txt b/src/elements/CMakeLists.txt index 940798bd..5a399964 100644 --- a/src/elements/CMakeLists.txt +++ b/src/elements/CMakeLists.txt @@ -1,9 +1,10 @@ Set(elements_src Elements.cpp - ElementCalculations/CalculateDeformationGradient.cpp + ElementCalculations/CalculateDeformationGradient.cpp ElementCalculations/CalculateF_XiAndInverse.cpp ElementCalculations/ComputeH.cpp - ElementCalculations/StrainDisplacementMatrix.cpp + ElementCalculations/ComputeHG.cpp + ElementCalculations/StrainDisplacementMatrix.cpp CharacteristicLength/CalculateCharacteristicLength.cpp CharacteristicLength/CalculateCharacteristicLength_C3D4.cpp CharacteristicLength/CalculateCharacteristicLength_C3D8.cpp diff --git a/src/elements/CenterOfMass/CalculateCentroidAndVolume.cpp b/src/elements/CenterOfMass/CalculateCentroidAndVolume.cpp index e1754381..fa5c1463 100644 --- a/src/elements/CenterOfMass/CalculateCentroidAndVolume.cpp +++ b/src/elements/CenterOfMass/CalculateCentroidAndVolume.cpp @@ -5,6 +5,9 @@ double CalculateCentroidAndVolume(int e, double *cm) { if (strcmp(ElementType[e], "C3D8") == 0) { volume = CalculateCentroidAndVolume_C3D8(e, cm); } else { + if (strcmp(ElementType[e], "C3D8R") == 0) { + volume = CalculateCentroidAndVolume_C3D8(e, cm); +} else { if (strcmp(ElementType[e], "C3D4") == 0) { CalculateCentroid_C3D4(e, cm); double coord[12]; @@ -20,6 +23,7 @@ double CalculateCentroidAndVolume(int e, double *cm) { TerminateFemTech(3); } } +} return volume; } @@ -35,6 +39,16 @@ double calculateVolume(int e) { } } volume = volumeHexahedron(coord); + } else { + if (strcmp(ElementType[e], "C3D8R") == 0) { + double coord[24]; + for (int i = eptr[e], j = 0; i < eptr[e+1]; ++i, ++j) { + for (int k = 0; k < 3; ++k) { + int index = ndim*connectivity[i]+k; + coord[j*ndim+k] = coordinates[index]; + } + } + volume = volumeHexahedron(coord); } else { if (strcmp(ElementType[e], "C3D4") == 0) { double coord[12]; @@ -50,5 +64,6 @@ double calculateVolume(int e) { TerminateFemTech(3); } } +} return volume; } diff --git a/src/elements/CharacteristicLength/CalculateCharacteristicLength.cpp b/src/elements/CharacteristicLength/CalculateCharacteristicLength.cpp index df10353e..9d818180 100644 --- a/src/elements/CharacteristicLength/CalculateCharacteristicLength.cpp +++ b/src/elements/CharacteristicLength/CalculateCharacteristicLength.cpp @@ -8,9 +8,13 @@ double CalculateCharacteristicLength(int e) { if (strcmp(ElementType[e], "C3D4") == 0) { cl = CalculateCharacteristicLength_C3D4(e); } else { + if (strcmp(ElementType[e], "C3D8R") == 0) { + cl = CalculateCharacteristicLength_C3D8(e); + } else { FILE_LOG_SINGLE(ERROR, "Unknown Element Type Encountered"); cl = 1.0; } } +} return cl; } diff --git a/src/elements/ElementCalculations/ComputeHG.cpp b/src/elements/ElementCalculations/ComputeHG.cpp new file mode 100644 index 00000000..814a1a38 --- /dev/null +++ b/src/elements/ElementCalculations/ComputeHG.cpp @@ -0,0 +1,87 @@ +#include "FemTech.h" + +#include "blas.h" + +void ComputeHG(int e, double *force) { + const int L[32] = {1, 1,-1,-1,-1,-1,1,1,1,-1,-1,1,-1,1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,-1,1,-1,1}; + double gamma[32]; + double temp[12]; + double HGforce[24]; + double ah; + double Q = 0.1; + int partid = pid[e]; + double rho = properties[MAXMATPARAMS * partid + 0]; + double ce = CalculateWaveSpeed(partid); + double elementCoordinates[24]; + double v; + double h[12]; + double g[12]; + for(int i = 0; i<12; i++){ + h[i]=0; + g[i]=0; + HGforce[i]=0; + HGforce[i+12]=0; + temp[i]=0; + gamma[i]=0; + gamma[i+12]=0; + gamma[1+24]=0; + } + + //Based on HG in LSDYNA + for(int i = 0; i<32; i++){ + gamma[i]=0; + } + for (int i = eptr[e], j = 0; i < eptr[e+1]; ++i, ++j) { + for (int k = 0; k < 3; ++k) { + int index = ndim*connectivity[i]+k; + elementCoordinates[j*ndim+k] = coordinates[index]+displacements[index]; + } + //The following computation is for a different type of HG + // for(int alpha=0; alpha<4; alpha++){ + // h[alpha*3+0] += velocities_half[ndim*connectivity[i]+0]*L[alpha*8+j]; + // h[alpha*3+1] += velocities_half[ndim*connectivity[i]+1]*L[alpha*8+j]; + // h[alpha*3+2] += velocities_half[ndim*connectivity[i]+2]*L[alpha*8+j]; + //} + } + { + for(int i = eptr[e], j = 0; i < eptr[e+1]; ++i, ++j){ + int index = ndim*connectivity[i]; + for(int alpha=0; alpha<4; alpha++){ + temp[alpha*3+0] += (coordinates[index+0]+displacements[index+0])*L[alpha*8+j]; + temp[alpha*3+1] += (coordinates[index+1]+displacements[index+1])*L[alpha*8+j]; + temp[alpha*3+2] += (coordinates[index+2]+displacements[index+2])*L[alpha*8+j]; + } + } + const unsigned int indexStart = dsptr[e] + GaussPoints[e] * ndim; + for(int i = eptr[e], j = 0; i < eptr[e+1]; ++i, ++j){ + const unsigned int indexShp = dsptr[e] + j * ndim; + for(int alpha=0; alpha<4; alpha++){ + gamma[alpha*8+j] = L[alpha*8+j] - (dshp[indexShp]*F_XiInverse[0] + dshp[indexShp+1]*F_XiInverse[3] + dshp[indexShp+2]*F_XiInverse[6])*temp[alpha*3+0] - (dshp[indexShp]*F_XiInverse[1] + + dshp[indexShp+1]*F_XiInverse[4] + dshp[indexShp +2]*F_XiInverse[7])*temp[alpha*3+1] - (dshp[indexShp]*F_XiInverse[2] + dshp[indexShp+1]*F_XiInverse[5] + dshp[indexShp +2]*F_XiInverse[8])*temp[alpha*3+2]; + } + } + } + for (int i = eptr[e], j = 0; i < eptr[e+1]; ++i, ++j) + for(int alpha=0; alpha<4; alpha++){ + g[alpha*3+0] += velocities_half[ndim*connectivity[i]+0]*gamma[alpha*8+j]; + g[alpha*3+1] += velocities_half[ndim*connectivity[i]+1]*gamma[alpha*8+j]; + g[alpha*3+2] += velocities_half[ndim*connectivity[i]+2]*gamma[alpha*8+j]; + } + v = volumeHexahedron(elementCoordinates); + ah = (Q*rho*pow(v,2.0/3.0)*ce)/4; + for (int i = eptr[e], j = 0; i < eptr[e+1]; ++i, ++j) { + for(int alpha=0; alpha<4; alpha++){ + HGforce[ndim*j+0] += ah*g[alpha*3+0]*gamma[alpha*8+j]; + HGforce[ndim*j+1] += ah*g[alpha*3+1]*gamma[alpha*8+j]; + HGforce[ndim*j+2] += ah*g[alpha*3+2]*gamma[alpha*8+j]; + } + } + for (int i = eptr[e], j = 0; i < eptr[e+1]; ++i, ++j) { + force[ndim*j+0] += HGforce[ndim*j+0]; + force[ndim*j+1] += HGforce[ndim*j+1]; + force[ndim*j+2] += HGforce[ndim*j+2]; + f_hg[connectivity[i+j]*ndim + 0] += HGforce[ndim*j+0]; + f_hg[connectivity[i+j]*ndim + 1] += HGforce[ndim*j+1]; + f_hg[connectivity[i+j]*ndim + 2] += HGforce[ndim*j+2]; + } +} diff --git a/src/fem/AllocateArrays.cpp b/src/fem/AllocateArrays.cpp index f0196c5c..feb94640 100644 --- a/src/fem/AllocateArrays.cpp +++ b/src/fem/AllocateArrays.cpp @@ -17,6 +17,8 @@ double *fr_prev; double *fi_curr; double *f_damp_prev; double *f_damp_curr; +double *f_hg; +double *f_hgprev; double *displacements_prev; double *accelerations_prev; double *stepTime; @@ -124,6 +126,18 @@ void AllocateArrays() { FILE_LOG_SINGLE(ERROR, "Error in allocating f_damp_prev array"); TerminateFemTech(12); } + if(RI){ + f_hg = (double*)calloc(nDOF, sizeof(double)); // Internal Nodal force vector + if (!f_hg) { + FILE_LOG_SINGLE(ERROR, "Error in allocating f_hg array"); + TerminateFemTech(12); + } + f_hgprev = (double*)calloc(nDOF, sizeof(double)); // Internal Nodal force vector + if (!f_hgprev) { + FILE_LOG_SINGLE(ERROR, "Error in allocating f_hgprev array"); + TerminateFemTech(12); + } +} std::string energyFileName = "energy_"+uid+".dat"; energyFile = fopen(energyFileName.c_str(), "w"); fprintf(energyFile, "# Energy for FEM\n"); diff --git a/src/fem/Mass/Mass3D.cpp b/src/fem/Mass/Mass3D.cpp index 4d925f67..8aad5761 100644 --- a/src/fem/Mass/Mass3D.cpp +++ b/src/fem/Mass/Mass3D.cpp @@ -48,8 +48,8 @@ void MassElementMatrix(double *Me, int e) { // Me = \Sum_j w_j (N^T*N Det(J))_j // Add contribution of current Gauss point to elemental mass matrix for (int n = 0; n < mLocalSize; ++n) { - Me[n] += MeGQ[n]*preFactor; - } + Me[n] += MeGQ[n]*preFactor; + } } // Multiply all elements of mass matrix by density // TODO(Anil) Use material property rho and remove variable rho diff --git a/src/fem/ShapeFunctions/GaussQuadrature3D.cpp b/src/fem/ShapeFunctions/GaussQuadrature3D.cpp index ad043e0c..61dd0fbc 100644 --- a/src/fem/ShapeFunctions/GaussQuadrature3D.cpp +++ b/src/fem/ShapeFunctions/GaussQuadrature3D.cpp @@ -57,6 +57,14 @@ void GaussQuadrature3D(int element, int nGaussPoint, double *Chi, double *GaussW GaussWeights[6] = 1.0; GaussWeights[7] = 1.0; } + if (strcmp(ElementType[element], "C3D8R") == 0 && nGaussPoint==1) { + /*integration point 1*/ + Chi[0 * ndim + 0] = 0.0; + Chi[0 * ndim + 1] = 0.0; + Chi[0 * ndim + 2] = 0.0; + + GaussWeights[0] = 8.0; + } // 4-noded tet with 1 integration point if (strcmp(ElementType[element], "C3D4") == 0 && nGaussPoint==1) { diff --git a/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp b/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp index 649cbeba..572f1d8b 100644 --- a/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp +++ b/src/fem/ShapeFunctions/ShapeFunction_C3D8.cpp @@ -127,12 +127,12 @@ void ShapeFunction_C3D8(int e, int gp, double *Chi, double *detJ){ B0[baseIndex] = dshp[baseIndex]*J_Inv[0]+dshp[baseIndex+1]*J_Inv[1]+dshp[baseIndex+2]*J_Inv[2]; B0[baseIndex+1] = dshp[baseIndex]*J_Inv[3]+dshp[baseIndex+1]*J_Inv[4]+dshp[baseIndex+2]*J_Inv[5]; B0[baseIndex+2] = dshp[baseIndex]*J_Inv[6]+dshp[baseIndex+1]*J_Inv[7]+dshp[baseIndex+2]*J_Inv[8]; - FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Shape fn : %d, %12.6f, %12.6f, %12.6f", i, \ dshp[baseIndex], dshp[baseIndex+1], dshp[baseIndex+2]); FILE_LOG_SINGLE(DEBUGLOGIGNORE, "Shape fn Global : %d, %12.6f, %12.6f, %12.6f", \ i, B0[baseIndex], B0[baseIndex+1], B0[baseIndex+2]); } + FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, xs, ndim, ndim, "---- XS Matrix ----") FILE_LOGMatrix_SINGLE(DEBUGLOGIGNORE, J_Inv, ndim, ndim, "---- JInv Matrix ----") return; diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index 74068f96..4699a43e 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -169,6 +169,68 @@ void ShapeFunctions() { // MAXINTERNALVARS*GaussPoints[i]. internals_counter += MAXINTERNALVARS * GaussPoints[i]; + } + if (strcmp(ElementType[i], "C3D8R") == 0) { + //GuassPoints per element + gpCount = 1; + nShapeFunctions[i] = 8; + + // shp function array needs to hold 8 + // shp functions for each of these 8 gauss points + // for this one element there are 8 gauss points, + // which each have 8 components in shp function array + // so for this element I need 8 * 8 positions to hold + + // counter = counter + nShapeFunctions[i]*GaussPoints[i]; + counter += 8; + + // the next counter is used to determine the size of the + // derivative of shp function, dshp. We expand the slots + // to account for ndim, since derivatives are taken with + // respect to chi, eta, and iota. + // dshp_counter = dshp_counter + (ndim * nShapeFunctions[i]*GaussPoints[i]); + dshp_counter += 24; + + // the next counter is for the deformation gradient + // since there is a deformation gradient stored at each + // gauss point. The deformation graient, F is normally + // ndim*ndim, but since we are saving F for each gauss point + // it is ndim*ndim*ngausspoint =3*3*8 = 72. Also, because we can have mixed meshes, + // we need a way to reference F as well (An fptr). Note F is not symmetric. + // Also this counter will be used (as well as fptr) for detF, InvF, b and E. + F_counter += 9; + if (viscousCount) { + const int F_counterViscous = 9; + S0n[i] = (double*)calloc(F_counterViscous, sizeof(double)); + // Allocate nProny number of Hn matrix + Hn[i] = (double*)calloc(F_counterViscous*viscousCount, sizeof(double)); + } else { + if (viscoElastic) { + Hn[i] = NULL; + S0n[i] = NULL; + } + } + + //the next counter is for the cauchy stress array + //there is a cauchy stress tensor stored at each gauss point + //there are six values stored at each gauss point since + // cauchy stress is symmetric. + // size would be ndim*ndim*8, but since symmetric it is only + // 6 values stored for each gauss point, or 6*8 = 48 + cauchy_counter += 6; + + // the next counter is for the detF array. This holds a detF value for each + // gauss point. Since detF is a scalar value there is only 8 values per + // hex element. + detF_counter +=1; + + // the next counter is for holding internal variables. These are stored at + // each of the gauss points. Depending on the material model, such as + // plasticity, there are different number of internals stored. For now + // we define the same number, MAXINTERNALVARS to each gauss point, or + // MAXINTERNALVARS*GaussPoints[i]. + internals_counter += MAXINTERNALVARS * GaussPoints[i]; + } if (strcmp(ElementType[i], "C3D4") == 0) { gpCount = 1; // only one gauss point @@ -291,6 +353,10 @@ void ShapeFunctions() { GaussQuadrature3D(i, GaussPoints[i], Chi, GaussWeightsLocal); ShapeFunction_C3D8(i, k, Chi, detJacobianLocal); } + if (strcmp(ElementType[i], "C3D8R") == 0) { + GaussQuadrature3D(i, GaussPoints[i], Chi, GaussWeightsLocal); + ShapeFunction_C3D8(i, k, Chi, detJacobianLocal); + } // 3D 4-noded tet shape function routine if (strcmp(ElementType[i], "C3D4") == 0) { GaussQuadrature3D(i, GaussPoints[i], Chi, GaussWeightsLocal); diff --git a/src/fem/SolidMechanics/GetForce_3D.cpp b/src/fem/SolidMechanics/GetForce_3D.cpp index 8f6c2908..2977551e 100644 --- a/src/fem/SolidMechanics/GetForce_3D.cpp +++ b/src/fem/SolidMechanics/GetForce_3D.cpp @@ -41,8 +41,11 @@ void GetForce_3D() { // Calculate F_Xi^n CalculateF_XiAndInverse(i, j); // Calculate sigma^n - StressUpdate(i, j); - InternalForceUpdateUL(i, j, fintLocal); + StressUpdate(i, j); + InternalForceUpdateUL(i, j, fintLocal); + if(strcmp(ElementType[i], "C3D8R") == 0){ + ComputeHG(i, fintLocal); + } } // else } //loop on gauss points // Move Local internal for to global force diff --git a/src/io/input/ReadLsDyna.cpp b/src/io/input/ReadLsDyna.cpp index 2700c3da..b1a686e3 100644 --- a/src/io/input/ReadLsDyna.cpp +++ b/src/io/input/ReadLsDyna.cpp @@ -203,10 +203,11 @@ bool ReadLsDyna(const char *FileName) { long LastValidElemDataLinePos = -1; while (fgets(Line, sizeof(Line), File) != NULL) { - int *PIDs, *Nodes, *eids; + int *PIDs, *Nodes, *eids, *sID; const int ne = LineToArray(true, false, 1, 1, Line, Delim, (void**)&eids); const int np = LineToArray(true, false, 2, 1, Line, Delim, (void**)&PIDs); const int nn = LineToArray(true, true, 3, 0, Line, Delim, (void**)&Nodes); + int secID = LineToArray(true, true, 3, 0, Line, Delim, (void**)&sID); if (np == 0 || nn == 0 || ne == 0) { if (np > 0) { free(PIDs); @@ -225,7 +226,9 @@ bool ReadLsDyna(const char *FileName) { const int N = nn == 8 ? CalcUniqueValues(Nodes, nn) : nn; if (N > 4) { + if(!RI) strcpy(ElementType[pi], "C3D8"); + else strcpy(ElementType[pi], "C3D8R"); } else if (N == 4) { strcpy(ElementType[pi], "C3D4"); diff --git a/src/io/output/WriteVTU.cpp b/src/io/output/WriteVTU.cpp index 0302de96..052d1b78 100644 --- a/src/io/output/WriteVTU.cpp +++ b/src/io/output/WriteVTU.cpp @@ -83,6 +83,9 @@ void WriteVTU(const char* FileName, int step, int** intCellData /*= NULL*/, \ if( strcmp(ElementType[i], "C3D8") == 0){ fprintf(fp,"\t\t\t\t\t%d\n",12); } + else if( strcmp(ElementType[i], "C3D8R") == 0){ + fprintf(fp,"\t\t\t\t\t%d\n",12); + } else if (strcmp(ElementType[i], "C3D4") == 0){ fprintf(fp, "\t\t\t\t\t%d\n", 10); } From 2b9120d33f2bcd05363986010fb8d3db7c9ae6ae Mon Sep 17 00:00:00 2001 From: RitikaMenghani Date: Mon, 2 Aug 2021 14:04:45 -0400 Subject: [PATCH 050/106] removed f_hg computation --- examples/ex19/ex19.cpp | 4 ++-- examples/ex5/ex5.cpp | 1 - examples/ex9/ex9.cpp | 7 ++++--- src/elements/ElementCalculations/ComputeHG.cpp | 6 +++--- 4 files changed, 9 insertions(+), 9 deletions(-) diff --git a/examples/ex19/ex19.cpp b/examples/ex19/ex19.cpp index 3fc4db8b..91bcccc4 100644 --- a/examples/ex19/ex19.cpp +++ b/examples/ex19/ex19.cpp @@ -125,8 +125,8 @@ int main(int argc, char **argv) { // Store internal external force from previous step to compute energy memcpy(fi_prev, fi, nDOF * sizeof(double)); memcpy(fe_prev, fe, nDOF * sizeof(double)); - if(RI) - memcpy(f_hgprev, f_hg, nDOF * sizeof(double)); + // if(RI) + // memcpy(f_hgprev, f_hg, nDOF * sizeof(double)); // update displacements for all nodes, including where velocity bc is set for (int i = 0; i < nDOF; i++) { diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index cac6fcac..7cc166d6 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -743,7 +743,6 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { for (int i = 0; i < linAccXSize; ++i) { // linAccXv[i] = gC*linAccXv[i]; linAccXt[i] = 0.001 * linAccXt[i]; -printf("%.10f %.10f\n", linAccXv[i], linAccXt[i]); } for (int i = 0; i < linAccYSize; ++i) { // linAccYv[i] = gC*linAccYv[i]; diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index d991e948..5c4f7819 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -21,10 +21,11 @@ int nFieldSkip = 1; // 1 in nFieldSkip plot steps will be used to output VTU bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; +bool RI = true; // Parameters of simple tension test double tMax = 1.00; // max simulation time in seconds -double dMax = -0.002; // max displacment in meters +double dMax = -0.0015; // max displacment in meters int main(int argc, char **argv) { // feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); @@ -189,7 +190,7 @@ void ApplyVelocityBoundaryConditions(double) { // if x value = 0, constrain node to x plane (0-direction) index = ndim * i; if (fabs(coordinates[index] - 0.0) < tol) { - velocities_half[index-1] = 0.0; + velocities_half[index] = 0.0; } // if y coordinate = 0, constrain node to y plane (1-direction) index = ndim * i + 1; @@ -269,7 +270,7 @@ void CustomPlot() { } // Compute Cauchy stress for the element double stressElem[6]; - CalculateElementStress(63, stressElem); + CalculateElementStress(0, stressElem); // Print all six stress components of 1st element stress fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", stressElem[0], stressElem[1], stressElem[2], stressElem[5], diff --git a/src/elements/ElementCalculations/ComputeHG.cpp b/src/elements/ElementCalculations/ComputeHG.cpp index 814a1a38..d81b8921 100644 --- a/src/elements/ElementCalculations/ComputeHG.cpp +++ b/src/elements/ElementCalculations/ComputeHG.cpp @@ -80,8 +80,8 @@ void ComputeHG(int e, double *force) { force[ndim*j+0] += HGforce[ndim*j+0]; force[ndim*j+1] += HGforce[ndim*j+1]; force[ndim*j+2] += HGforce[ndim*j+2]; - f_hg[connectivity[i+j]*ndim + 0] += HGforce[ndim*j+0]; - f_hg[connectivity[i+j]*ndim + 1] += HGforce[ndim*j+1]; - f_hg[connectivity[i+j]*ndim + 2] += HGforce[ndim*j+2]; + //f_hg[connectivity[i+j]*ndim + 0] += HGforce[ndim*j+0]; + //f_hg[connectivity[i+j]*ndim + 1] += HGforce[ndim*j+1]; + //f_hg[connectivity[i+j]*ndim + 2] += HGforce[ndim*j+2]; } } From 233e50f0e6b3ba753dae5e103f9a52848ad5412e Mon Sep 17 00:00:00 2001 From: RitikaMenghani Date: Mon, 2 Aug 2021 14:22:50 -0400 Subject: [PATCH 051/106] changed from comp to tension --- examples/ex9/ex9.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 5c4f7819..35b22ee5 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -25,7 +25,7 @@ bool RI = true; // Parameters of simple tension test double tMax = 1.00; // max simulation time in seconds -double dMax = -0.0015; // max displacment in meters +double dMax = 0.005; // max displacment in meters int main(int argc, char **argv) { // feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); From 36de023d49f024a89af0a59230649b35b516319e Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 5 Aug 2021 12:30:58 +0530 Subject: [PATCH 052/106] Updated Rigid body motion, Ogden model Added relative-displacement key to input json to disable relative displacement output --- examples/ex5/ex5.cpp | 54 ++++-- examples/ex9/ex9.cpp | 194 ++++++++++++++++++---- src/fem/AllocateArrays.cpp | 2 +- src/fem/ShapeFunctions/ShapeFunctions.cpp | 1 + src/fem/SolidMechanics/CheckEnergy.cpp | 6 +- src/materials/Ogden.cpp | 87 +++++----- src/materials/OgdenViscoelastic.cpp | 155 ++++++++++------- 7 files changed, 343 insertions(+), 156 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 8c24c04f..022c116d 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -42,11 +42,12 @@ double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-8; // Set for max runtime of around 5 hrs on aws double MaxTimeStep = 1e-5; int nPlotSteps = 50; -int nWriteSteps = 2000; +int nWriteSteps = 100; /* Global variables used only in this file */ int nodeIDtoPlot; bool rankForCustomPlot; +bool outputRelativeDisplacement = true; /* Global variables for bc */ int *boundaryID = NULL; int boundarySize; @@ -243,12 +244,12 @@ int main(int argc, char **argv) { while (Time < tMax) { t_n = Time; double t_np1 = Time + dt; - Time = t_np1; /*Update the time by adding full time step */ double dtby2 = 0.5*dt; double t_nphalf = t_n + dtby2; // equ 6.2.1 /* Step 6 Enforce boundary Conditions */ ApplyAccBoundaryConditions(); + Time = t_np1; /*Update the time by adding full time step */ /* Step 5 from Belytschko Box 6.1 - Update velocity */ for (int i = 0; i < nDOF; i++) { if (!boundary[i]) { @@ -372,10 +373,14 @@ int main(int argc, char **argv) { void ApplyAccBoundaryConditions() { double r[4], R[4], Rinv[4], V[4], Vp[4]; // quaternions - double omegaR[3], omega[3], omegaOmegaR[3], omegaVel[3], vel[3]; // vectors - double alpha[3], alphaR[3], locV[3]; - - rk.do_step(computeDerivatives, yInt, ydotInt, Time - dt, 0.5*dt); + // double omegaR[3], omega[3], omegaOmegaR[3], omegaVel[3], vel[3]; // vectors + // double alpha[3], alphaR[3], locV[3]; + double omegaR[3], omega[3]; // vectors + double locV[3]; + + // Update to half time step to compute velocity + // rk.do_step(computeDerivatives, yInt, ydotInt, Time, 0.5*dt); + rk.do_step(computeDerivatives, yInt, Time, 0.5*dt); r[0] = 0.0; r[1] = yInt[3]; r[2] = yInt[4]; @@ -385,12 +390,12 @@ void ApplyAccBoundaryConditions() { omega[0] = yInt[0]; omega[1] = yInt[1]; omega[2] = yInt[2]; - alpha[0] = ydotInt[0]; - alpha[1] = ydotInt[1]; - alpha[2] = ydotInt[2]; - vel[0] = yInt[6]; - vel[1] = yInt[7]; - vel[2] = yInt[8]; + // alpha[0] = ydotInt[0]; + // alpha[1] = ydotInt[1]; + // alpha[2] = ydotInt[2]; + // vel[0] = yInt[6]; + // vel[1] = yInt[7]; + // vel[2] = yInt[8]; for (int i = 0; i < boundarySize; i++) { int index = boundaryID[i] * ndim; @@ -416,8 +421,16 @@ void ApplyAccBoundaryConditions() { // 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; } } + // Move to full time step + rk.do_step(computeDerivatives, yInt, Time+0.5*dt, 0.5*dt); // Rotate points to plot to obtain their rigid displacements if (rankForCustomPlot) { + r[0] = 0.0; + r[1] = yInt[3]; + r[2] = yInt[4]; + r[3] = yInt[5]; + quaternionExp(r, R); // R = exp(r) + quaternionInverse(R, Rinv); for (int i = 0; i < outputNodeCount; i++) { int index = outputNodeList[i] * ndim; int index1 = i * ndim; @@ -592,6 +605,10 @@ void InitCustomPlot(const Json::Value &jsonInput) { outputNodeRigidDisp = (double *)calloc(outputNodeCount * ndim, sizeof(double)); } + // Check if we should disable relative displacement + if (!jsonInput["relative-displacement"].empty()) { + outputRelativeDisplacement = jsonInput["relative-displacement"].asBool(); + } return; } @@ -607,11 +624,14 @@ void CustomPlot() { for (int i = 0; i < outputNodeCount; ++i) { unsigned int plotNode = outputNodeList[i] * ndim; unsigned int plotIndex = i * ndim; - double xCord = displacements[plotNode] - outputNodeRigidDisp[plotIndex]; - double yCord = - displacements[plotNode + 1] - outputNodeRigidDisp[plotIndex + 1]; - double zCord = - displacements[plotNode + 2] - outputNodeRigidDisp[plotIndex + 2]; + double xCord = displacements[plotNode]; + double yCord = displacements[plotNode + 1]; + double zCord = displacements[plotNode + 2]; + if (outputRelativeDisplacement) { + xCord -= outputNodeRigidDisp[plotIndex]; + yCord -= outputNodeRigidDisp[plotIndex + 1]; + zCord -= outputNodeRigidDisp[plotIndex + 2]; + } sprintf(output, "%s %15.9e %15.9e %15.9e", output, xCord, yCord, zCord); } double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 07b908af..6ff26826 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -5,13 +5,21 @@ /*Delare Functions*/ void ApplyVelocityBoundaryConditions(double); +void ApplyVelocityBoundaryConditionsVE(double); void InitVelocityBoundaryConditions(); void CustomPlot(); +void InitCustomPlot(); + +// Global parameters to output +bool writeNodeOP = false; +bool writeElementOP = false; +int plotNodeID = 0; +int plotElemID = 0; double Time, dt; int nSteps; -double dynamicDamping = 0.000; +double dynamicDamping = 0.0; double ExplicitTimeStepReduction = 0.7; double FailureTimeStep = 1e-11; double MaxTimeStep = 1e-1; @@ -45,7 +53,7 @@ int main(int argc, char **argv) { int plot_counter = 0; WriteVTU(outputFileName.c_str(), plot_counter); stepTime[plot_counter] = Time; - CustomPlot(); + // Dynamic Explcit solution Belytschko Box 6.1 dt = 0.0; @@ -53,15 +61,30 @@ int main(int argc, char **argv) { // Initial operations int time_step_counter = 0; ShapeFunctions(); + // Check if the problem is viscoelastic or not + bool viscoElastic = false; + // for (int i = 0; i < nelements; ++i) { + // if (nProny[i]) { + // viscoElastic = true; + // break; + // } + // } /* Step-1: Calculate the mass matrix similar to that of belytschko. */ AssembleLumpedMass(); InitVelocityBoundaryConditions(); + InitCustomPlot(); + + // CustomPlot(); /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ dt = ExplicitTimeStepReduction * StableTimeStep(); // Used if initial velocity BC is to be set. - ApplyVelocityBoundaryConditions(0.5*dt); + if (viscoElastic) { + ApplyVelocityBoundaryConditionsVE(0.5*dt); + } else { + ApplyVelocityBoundaryConditions(0.5*dt); + } // For cases with no residual stress and external forces, // GetFoce is not required, we can directly set accelerations at zero time @@ -109,7 +132,11 @@ int main(int argc, char **argv) { double t_nphalf = t_n + dtby2; // equ 6.2.1 /* Step 6 Enforce velocity boundary Conditions */ - ApplyVelocityBoundaryConditions(t_nphalf); + if (viscoElastic) { + ApplyVelocityBoundaryConditionsVE(t_nphalf); + } else { + ApplyVelocityBoundaryConditions(t_nphalf); + } /* Step 5 from Belytschko Box 6.1 - Update velocity */ for (int i = 0; i < nDOF; i++) { @@ -212,6 +239,50 @@ void ApplyVelocityBoundaryConditions(double) { return; } +void ApplyVelocityBoundaryConditionsVE(double t) { + double tol = 1e-5; + int index; + + double nVel = 0.0; + if (t < 0.025) { + nVel = dMax/0.025; + } else { + if (t < 0.475) { + nVel = 0.0; + } else { + if (t < 0.5) { + nVel = -dMax/0.025; + } + } + } + + for (int i = 0; i < nNodes; i++) { + // if x value = 0, constrain node to x plane (0-direction) + index = ndim * i + 0; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index] = 0.0; + } + // if y coordinate = 0, constrain node to y plane (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index] = 0.0; + } + // if z coordinate = 0, constrain node to z plane (2-direction) + index = ndim * i + 2; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index] = 0.0; + } + // if y coordinate = 1, apply disp. to node = 0.1 (1-direction) + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.005) < tol) { + velocities_half[index] = nVel; + } + } + FILE_LOG_MASTER(INFO, "Time = %10.5E, Applied Velocity = %10.5E", Time, + nVel); + return; +} + void InitVelocityBoundaryConditions() { double tol = 1e-5; int index; @@ -240,41 +311,94 @@ void InitVelocityBoundaryConditions() { return; } -void CustomPlot() { - double tol = 1e-5; - FILE *datFile; - int x = 0; - int y = 1; - int z = 2; - - if (fabs(Time - 0.0) < 1e-16) { - datFile = fopen("plot.dat", "w"); - fprintf(datFile, "# Results for Node ?\n"); - fprintf(datFile, "# Time DispX DispY DispZ SigmaXX SigmaYY SigmaZZ " - "SigmaXY Sigma XZ SigmaYZ\n"); - fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e %13.5e " - "%13.5e %13.5e %13.5e\n", - 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0); - } else { - datFile = fopen("plot.dat", "a"); - for (int i = 0; i < nNodes; i++) { - if (fabs(coordinates[ndim * i + x] - 0.005) < tol && - fabs(coordinates[ndim * i + y] - 0.005) < tol && - fabs(coordinates[ndim * i + z] - 0.005) < tol) { - - fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e ", Time, - displacements[ndim * i + x], displacements[ndim * i + y], - displacements[ndim * i + z]); - } +void InitCustomPlot() { + // Find process with largest nodeID and elementID + // Assumes larges node and elemnt is to be written + int maxNodeID = globalNodeID[0]; + int localID = 0; + for (int i = 1; i < nNodes; ++i) { + if (globalNodeID[i] > maxNodeID) { + maxNodeID = globalNodeID[i]; + localID = i; } - // Compute Cauchy stress for the element + } + // Find maximum among processors + int globalMax; + MPI_Allreduce(&maxNodeID, &globalMax, 1, MPI_INT, MPI_MAX, MPI_COMM_WORLD); + if (globalMax == maxNodeID) { + writeNodeOP = true; + plotNodeID = localID; + } + // Similarly for element ID + int maxElemID = global_eid[0]; + localID = 0; + for (int i = 1; i < nelements; ++i) { + if (global_eid[i] > maxElemID) { + maxElemID = global_eid[i]; + localID = i; + } + } + // Find maximum among processors + MPI_Allreduce(&maxElemID, &globalMax, 1, MPI_INT, MPI_MAX, MPI_COMM_WORLD); + if (globalMax == maxElemID) { + writeElementOP = true; + plotElemID = localID; + } + const int x = 0; + const int y = 1; + const int z = 2; + + // Write the file header and first entry + // Write nodal displacement + if (writeNodeOP) { + FILE *datFileD; + datFileD = fopen("displacement.dat", "w"); + fprintf(datFileD, "# Results for Node %d\n", plotNodeID+1); + fprintf(datFileD, "# Time DispX DispY DispZ\n"); + fprintf(datFileD, "%13.5e %13.5e %13.5e %13.5e\n", 0.0, + displacements[ndim * plotNodeID + x], displacements[ndim * plotNodeID + y], + displacements[ndim * plotNodeID + z]); + fclose(datFileD); + } + // Write element stress, assumes no residual stress, hence all zeros + if (writeElementOP) { + FILE *datFileS; + datFileS = fopen("stress.dat", "w"); + fprintf(datFileS, "# Results for Element %d\n", plotElemID+1); + fprintf(datFileS, "# Time SigmaXX SigmaYY SigmaZZ " + "SigmaXY Sigma XZ SigmaYZ\n"); + fprintf(datFileS, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", + 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0); + fclose(datFileS); + } +} + +void CustomPlot() { + // Create 2 files, writing out displacement and stress + // Write nodal displacement + if (writeNodeOP) { + const int x = 0; + const int y = 1; + const int z = 2; + + FILE *datFileD; + datFileD = fopen("displacement.dat", "a"); + fprintf(datFileD, "%13.5e %13.5e %13.5e %13.5e\n", Time, + displacements[ndim * plotNodeID + x], displacements[ndim * plotNodeID + y], + displacements[ndim * plotNodeID + z]); + fclose(datFileD); + } + // Write element stress, assumes no residual stress, hence all zeros + if (writeElementOP) { + FILE *datFileS; + datFileS = fopen("stress.dat", "a"); double stressElem[6]; - CalculateElementStress(0, stressElem); + CalculateElementStress(plotElemID, stressElem); // Print all six stress components of 1st element stress - fprintf(datFile, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", - stressElem[0], stressElem[1], stressElem[2], stressElem[5], + fprintf(datFileS, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", + Time, stressElem[0], stressElem[1], stressElem[2], stressElem[5], stressElem[4], stressElem[3]); + fclose(datFileS); } - fclose(datFile); return; } diff --git a/src/fem/AllocateArrays.cpp b/src/fem/AllocateArrays.cpp index f0196c5c..b57e1bf3 100644 --- a/src/fem/AllocateArrays.cpp +++ b/src/fem/AllocateArrays.cpp @@ -124,7 +124,7 @@ void AllocateArrays() { FILE_LOG_SINGLE(ERROR, "Error in allocating f_damp_prev array"); TerminateFemTech(12); } - std::string energyFileName = "energy_"+uid+".dat"; + std::string energyFileName = "energy.dat"; energyFile = fopen(energyFileName.c_str(), "w"); fprintf(energyFile, "# Energy for FEM\n"); fprintf(energyFile, "# Time Winternal Wexternal WKE total\n"); diff --git a/src/fem/ShapeFunctions/ShapeFunctions.cpp b/src/fem/ShapeFunctions/ShapeFunctions.cpp index 74068f96..bf966a0e 100644 --- a/src/fem/ShapeFunctions/ShapeFunctions.cpp +++ b/src/fem/ShapeFunctions/ShapeFunctions.cpp @@ -29,6 +29,7 @@ double *fintGQ; double *B; double **Hn, **S0n; int *nProny; // To store number of terms in viscous Prony Series +// TODO : Remove element dependent nProny double *B0; // double *F_Xi_0; diff --git a/src/fem/SolidMechanics/CheckEnergy.cpp b/src/fem/SolidMechanics/CheckEnergy.cpp index 62c93df0..70c47bf7 100644 --- a/src/fem/SolidMechanics/CheckEnergy.cpp +++ b/src/fem/SolidMechanics/CheckEnergy.cpp @@ -45,11 +45,9 @@ void CheckEnergy(double time, bool writeFlag) { // accelerations_prev[indexJ]); // sum_Wext_n += delta_d * reaction; // } - // sum_Wint_n += delta_d * (fi_prev[indexJ] + fi[indexJ]); #<{(| equ 6.2.14 |)}># - // sum_Wext_n += delta_d * (fe_prev[indexJ] + fe[indexJ]); #<{(| equ 6.2.15 |)}># - if (!boundary[indexJ]) { + // if (!boundary[indexJ]) { sum_Wint_n += delta_d * (fi_prev[indexJ] + fi[indexJ]); /* equ 6.2.14 */ - } + // } sum_Wext_n += delta_d * (fe_prev[indexJ] + fe[indexJ]); /* equ 6.2.15 */ } } diff --git a/src/materials/Ogden.cpp b/src/materials/Ogden.cpp index 81c90269..79ddd42e 100644 --- a/src/materials/Ogden.cpp +++ b/src/materials/Ogden.cpp @@ -3,6 +3,7 @@ #include "lapack.h" #include +#include /* Implements the Ogden Model * Expected material properties : @@ -11,10 +12,7 @@ * N_{Ogden} = properties(2), maximum value of 3 * \alpha_i = properties(3+2*i) i = 0 to N_{Ogden}-1 * \mu_i = properties(4+2*i) i = 0 to N_{Ogden}-1 - * N_{Prony} = properties(3+N_{Ogden}*2), maximum value of 6 - * g_i = properties(4+2*N_{Ogden}+2*j) j = 0 to N_{Prony}-1 - * \tau_i = properties(5+2*N_{Ogden}+2*j) j = 0 to N_{Prony}-1 - * MAXMATPARAMS = 4+2*(N_{Ogden}+N_{Prony}) = 22 + * MAXMATPARAMS = 4+2*N_{Ogden} = 10 * */ void Ogden(int e, int gp) { @@ -23,10 +21,6 @@ void Ogden(int e, int gp) { TerminateFemTech(3); } // Assumes ndim == 3 - // Pointer to start of deformation gradient matrix for given element number - // and Gauss point - const int index = fptr[e] + ndim * ndim * gp; - // Get material property ID to read material properties const int pideIndex = pid[e]*MAXMATPARAMS; // Get location of array with material properties of the element @@ -34,35 +28,30 @@ void Ogden(int e, int gp) { // Read material properties const double K = localProperties[1]; const int nTerm = static_cast(localProperties[2]); - const unsigned int matSize = ndim * ndim; + + // b = F F^T double *H = mat1; ComputeH(e, gp, H); // Compute and store F = H + I + const unsigned int index = fptr[e] + ndim2 * gp; double * const F_element_gp = &(F[index]); for (unsigned int i = 0; i < ndim2; ++i) { - F_element_gp[i] = H[i]; - } + F_element_gp[i] = H[i]; + } F_element_gp[0] = F_element_gp[0] + 1.0; F_element_gp[4] = F_element_gp[4] + 1.0; F_element_gp[8] = F_element_gp[8] + 1.0; - // Use temp storage mat2 for Finverse - double *fInv = mat2; - // Compute F inverse - double J = inverse3x3Matrix(F_element_gp, fInv); - //InverseF(e, gp, fInv); - // Use temp storage 2 for storing Bmat - double *Bmat = mat3; - // Compute B = FF^T and compute its eigen values + double *b = mat2; + // Compute F F^T and store to b dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, - F_element_gp, &ndim, &zero, Bmat, &ndim); - - double invJ = 1.0/J; + F_element_gp, &ndim, &zero, b, &ndim); // Compute eigen values and eigenvectors of B - int nEigen; double cEigenValue[ndim]; double dWork[workSize]; - - // Correct Eigen Values for numerical inaccuracy + dsyev_(jobzV, uploU, &ndim, b, &ndim, cEigenValue, dWork, &workSize, &info); + // b now contains the eigen vectors of b + + // Correct Eigen Values for numerical inaccuracy double delat01 = fabs(cEigenValue[0] - cEigenValue[1]); double delat12 = fabs(cEigenValue[1] - cEigenValue[2]); double delat02 = fabs(cEigenValue[0] - cEigenValue[2]); @@ -72,35 +61,47 @@ void Ogden(int e, int gp) { if (delat02 < eigenTol) cEigenValue[2] = cEigenValue[0]; if (delat12 < eigenTol) cEigenValue[2] = cEigenValue[1]; - dsyev_(jobzV, uploU, &ndim, Bmat, &ndim, cEigenValue, dWork, &workSize, &info); - // Compute sqrt of lambda and multiply by J^{-1/3} + const double J = det3x3Matrix(F_element_gp); const double Jm13 = pow(J, -1.0/3.0); + const double invJ = 1.0/J; + + double eigenPower[ndim*nTerm]; + double eigenPowerSum[nTerm]; + for (int j = 0; j < nTerm; ++j) { + eigenPowerSum[j] = 0.0; + } for (int i = 0; i < ndim; ++i) { - cEigenValue[i] = sqrt(cEigenValue[i])*Jm13; + const double lambdaBar = Jm13*sqrt(cEigenValue[i]); + for (int j = 0; j < nTerm; ++j) { + const double alpha = localProperties[3+j*2]; + const double lambdaBarAlpha = pow(lambdaBar, alpha); + eigenPowerSum[j] += lambdaBarAlpha; + eigenPower[i*nTerm+j] = lambdaBarAlpha; + } + } + for (int j = 0; j < nTerm; ++j) { + eigenPowerSum[j] /= 3.0; } - // Compute F^-1(cEigenVector) - // Each column of basisVec points to F^{-1}*e where e is the eigen vector of B - // matrix - //double *basisVec = mat3; - //dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, - // Bmat, &ndim, &zero, basisVec, &ndim); - double *sigma_e = mat1; //check - for(int i = 0; i Date: Tue, 24 Aug 2021 17:50:20 +0530 Subject: [PATCH 053/106] Modifications to ex5 relative motion and OgdenViscoeleastic --- examples/ex5/ex5.cpp | 71 ++++++++++++---- src/materials/Ogden.cpp | 11 ++- src/materials/OgdenViscoelastic.cpp | 124 ++++++++++------------------ 3 files changed, 107 insertions(+), 99 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 022c116d..e37c39c6 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -62,7 +62,6 @@ int outputElemCount = 0; MPI_Comm output_comm; MPI_File outputFilePtr; int output_size, output_rank; -double *outputNodeRigidDisp; double *outputElemStress; /* Variables for injury metrics */ @@ -137,6 +136,10 @@ double *linAccXv, *linAccYv, *linAccZv; double *angAccXt, *angAccYt, *angAccZt; double *angAccXv, *angAccYv, *angAccZv; +/* Local co-ordinate system rotating with the skull for comparison with Hardy's + * data. Use first 3 index to store x unit vector, next 3 for y unit vector */ +double unitVec[9], rigidTranslation[3]; + /* Varibles for Local integrator */ const int nIntVar = 12; typedef boost::array state_type; @@ -350,7 +353,6 @@ int main(int argc, char **argv) { free1DArray(angAccZv); free1DArray(outputNodeList); free1DArray(outputElemList); - free1DArray(outputNodeRigidDisp); // Free variables used for injury criteria free1DArray(PS_Old); free1DArray(elementIDInjury); @@ -421,9 +423,31 @@ void ApplyAccBoundaryConditions() { // 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; } } + if (rankForCustomPlot) { + // Update unit vector + for (int i = 0; i < 3; i++) { + int index = i * ndim; + for (int j = 0; j < ndim; ++j) { + locV[j] = unitVec[index + j]; + } + V[0] = 0.0; + V[1] = locV[0]; + V[2] = locV[1]; + V[3] = locV[2]; + quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} + double unitVecMag = sqrt(Vp[1]*Vp[1]+Vp[2]*Vp[2]+Vp[3]*Vp[3]); + for (int j = 0; j < ndim; ++j) { + // update unit vectors by rotating + unitVec[index + j] = Vp[j + 1]/unitVecMag; + } + } + // for (int i = 0; i < 3; i++) { + // rigidTranslation[i] += yInt[9+i]; + // } + } // Move to full time step rk.do_step(computeDerivatives, yInt, Time+0.5*dt, 0.5*dt); - // Rotate points to plot to obtain their rigid displacements + // Rotate unit vectors to keep track of local co-ordinate system if (rankForCustomPlot) { r[0] = 0.0; r[1] = yInt[3]; @@ -431,22 +455,26 @@ void ApplyAccBoundaryConditions() { r[3] = yInt[5]; quaternionExp(r, R); // R = exp(r) quaternionInverse(R, Rinv); - for (int i = 0; i < outputNodeCount; i++) { - int index = outputNodeList[i] * ndim; - int index1 = i * ndim; + // Update unit vector + for (int i = 0; i < 3; i++) { + int index = i * ndim; for (int j = 0; j < ndim; ++j) { - locV[j] = coordinates[index + j]; + locV[j] = unitVec[index + j]; } V[0] = 0.0; V[1] = locV[0]; V[2] = locV[1]; V[3] = locV[2]; quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} + double unitVecMag = sqrt(Vp[1]*Vp[1]+Vp[2]*Vp[2]+Vp[3]*Vp[3]); for (int j = 0; j < ndim; ++j) { - // Displacement - outputNodeRigidDisp[index1 + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; + // update unit vectors by rotating + unitVec[index + j] = Vp[j + 1]/unitVecMag; } } + // for (int i = 0; i < 3; i++) { + // rigidTranslation[i] += yInt[9+i]; + // } } return; } @@ -602,8 +630,16 @@ void InitCustomPlot(const Json::Value &jsonInput) { MPI_File_write_ordered(outputFilePtr, outputHeader, strlen(outputHeader), MPI_CHAR, MPI_STATUS_IGNORE); free(outputHeader); - outputNodeRigidDisp = - (double *)calloc(outputNodeCount * ndim, sizeof(double)); + // Set the unit vector for locla co-ordinates + for (int i = 0; i < ndim2; ++i) { + unitVec[i] = 0.0; + } + for (int i = 0; i < ndim; ++i) { + rigidTranslation[i] = 0.0; + } + unitVec[0] = 1.0; + unitVec[4] = 1.0; + unitVec[8] = 1.0; } // Check if we should disable relative displacement if (!jsonInput["relative-displacement"].empty()) { @@ -627,12 +663,17 @@ void CustomPlot() { double xCord = displacements[plotNode]; double yCord = displacements[plotNode + 1]; double zCord = displacements[plotNode + 2]; + double xCordLocal, yCordLocal, zCordLocal; if (outputRelativeDisplacement) { - xCord -= outputNodeRigidDisp[plotIndex]; - yCord -= outputNodeRigidDisp[plotIndex + 1]; - zCord -= outputNodeRigidDisp[plotIndex + 2]; + xCordLocal = xCord*unitVec[0] + yCord*unitVec[1] + zCord*unitVec[2] - rigidTranslation[0]; + yCordLocal = xCord*unitVec[3] + yCord*unitVec[4] + zCord*unitVec[5] - rigidTranslation[1]; + zCordLocal = xCord*unitVec[6] + yCord*unitVec[7] + zCord*unitVec[8] - rigidTranslation[2]; + } else { + xCordLocal = xCord; + yCordLocal = yCord; + zCordLocal = zCord; } - sprintf(output, "%s %15.9e %15.9e %15.9e", output, xCord, yCord, zCord); + sprintf(output, "%s %15.9e %15.9e %15.9e", output, xCordLocal, yCordLocal, zCordLocal); } double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; for (int i = 0; i < outputElemCount; ++i) { diff --git a/src/materials/Ogden.cpp b/src/materials/Ogden.cpp index 79ddd42e..c4589f1e 100644 --- a/src/materials/Ogden.cpp +++ b/src/materials/Ogden.cpp @@ -15,6 +15,13 @@ * MAXMATPARAMS = 4+2*N_{Ogden} = 10 * */ +/* + * compute Cauchy Stress \sigma + * \sigma = \Sum_{i=0}^{3} ((\Sum_{j=0}^{N} mu_j [\overline{\lambda}_i^{\alpha_j} + * - (\overline{\lambda}_1^{\alpha_j}+\overline{\lambda}_2^{\alpha_j}+ + * \overline{\lambda}_3^{\alpha_j})/3.0])) (n_i \dyadic n_i) + K*(J-1)/J + */ + void Ogden(int e, int gp) { if (ndim == 2) { FILE_LOG_SINGLE(ERROR, "Plane Strain implementation yet to be done"); @@ -96,8 +103,8 @@ void Ogden(int e, int gp) { preFactor *= invJ; dyadic(&b[3*i], preFactor, sigma_e); } - // const double volum = K*(J-1.0)/J; - const double volum = K*(J-1.0); + const double volum = K*invJ*(J-1.0); + // const double volum = K*(J-1.0); // Add the volumentric component sigma_e[0] += volum; sigma_e[4] += volum; diff --git a/src/materials/OgdenViscoelastic.cpp b/src/materials/OgdenViscoelastic.cpp index 98faa815..63be355f 100644 --- a/src/materials/OgdenViscoelastic.cpp +++ b/src/materials/OgdenViscoelastic.cpp @@ -17,6 +17,14 @@ * MAXMATPARAMS = 4+2*(N_{Ogden}+N_{Prony}) = 22 * */ +/* + * compute PK2 Stress S : + * S = \Sum_{i=0}^{3} ((\Sum_{j=0}^{N} mu_j [\overline{\lambda}_i^{\alpha_j} + * - (\overline{\lambda}_1^{\alpha_j}+\overline{\lambda}_2^{\alpha_j}+ + * \overline{\lambda}_3^{\alpha_j})/3.0])/\lambda_i^2 + + * K*(J-1)/\lambda_i^2) (N_i \dyadic N_i) + */ + void OgdenViscoelastic(int e, int gp) { if (ndim == 2) { FILE_LOG_SINGLE(ERROR, "Plane Strain implementation yet to be done"); @@ -78,7 +86,7 @@ void OgdenViscoelastic(int e, int gp) { const double J = det3x3Matrix(F_element_gp); const double Jm13 = pow(J, -1.0/3.0); - const double invJ = 1.0/J; + double invJ = 1.0/J; // Compute parameters derived from the eigen value required for stress // computations @@ -102,9 +110,9 @@ void OgdenViscoelastic(int e, int gp) { } // Compute the distortional/deviatoric part of PK2 stress - double *STilde = mat3; + double *devS0np1 = mat3; for(int i = 0; i< ndim2; ++i) { - STilde[i] = 0.0; + devS0np1[i] = 0.0; } for (int i = 0; i < ndim; ++i) { double preFactor = 0.0; @@ -112,71 +120,18 @@ void OgdenViscoelastic(int e, int gp) { double mu = localProperties[4+j*2]; preFactor += mu*(eigenPower[i*nTerm+j]-eigenPowerSum[j]); } - preFactor *= invJ; - dyadic(&Cmat[3*i], preFactor, STilde); + preFactor /= cEigenValue[i]; + dyadic(&Cmat[3*i], preFactor, devS0np1); } - FILE_LOG_SINGLE(WARNING, "Trace of STilde = %15.9f", STilde[0]+STilde[4]+STilde[8]); - - // Transform Stilde to sigmaTilde - // Compute sigmaTilde - double* sigmaTilde = mat4; - double* sigmaTemp = mat1; // Reuse mat1 as H is nolonger required - // Compute F \widetilde{S} - dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, - STilde, &ndim, &zero, sigmaTemp, &ndim); - double Jm53 = pow(Jm13, 5); - // Compute F \widetilde{S} F^T - // sigmaTilde = Ftilde Stilde Ftilde^T/J - dgemm_(chn, chy, &ndim, &ndim, &ndim, &Jm53, sigmaTemp, &ndim, - F_element_gp, &ndim, &zero, sigmaTilde, &ndim); + FILE_LOG_SINGLE(WARNING, "Trace of devS0np1 = %15.9f", devS0np1[0]+devS0np1[4]+devS0np1[8]); - // Compute deviatoric part of sigmaTilde and add the isochoric part to obtain - // sigma - const double traceSigmaTildeby3 = (sigmaTilde[0] + sigmaTilde[4] + sigmaTilde[8])/3.0; - FILE_LOG_SINGLE(WARNING, "Trace of sigma Tilde = %15.9f", 3.0*traceSigmaTildeby3); - const double volum = K*(J-1.0); - const double diagDiff = volum-traceSigmaTildeby3; - // Compute sigma - double* sigma_e = sigmaTilde; - sigma_e[0] += diagDiff; - sigma_e[4] += diagDiff; - sigma_e[8] += diagDiff; - - /* - //S = J*Finv*Sigma*FinvT - double *STemp = mat3;//reuse mat3 - - dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, - sigma_e, &ndim, &zero, STemp, &ndim); - dgemm_(chn, chy, &ndim, &ndim, &ndim, &J, STemp, &ndim, - fInv, &ndim, &zero, S, &ndim); - // FILE_LOGMatrix(WARNING, S, ndim, ndim, "Before viscoelaticty\n"); - double *Cmat = mat3; - - dgemm_(chy, chn, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, - F_element_gp, &ndim, &zero, Cmat, &ndim); - // FILE_LOGMatrix(WARNING, Cmat, ndim, ndim, "C mat\n"); - // compute the double dot product C:S - double SddC = 0.0; - for (int i = 0; i < ndim2; ++i) { - SddC += Cmat[i]*S[i]; - } - // Compute isochoric part : Sic = 1/3(C:S)inv(C) - SddC = SddC/3.0; - // Compute Inverse of C, inv(C) = inv(F)*inv(F)^T - double* Sic = mat3; // Reuse mat3 for storing isochoric part of S - - dgemm_(chn, chy, &ndim, &ndim, &ndim, &SddC, fInv, &ndim, - fInv, &ndim, &zero, Sic, &ndim); - // FILE_LOGMatrix(WARNING, Sic, ndim, ndim, "Sic mat\n"); - double *Sdev = mat2; // Reuse mat2 to store deviatoric part of S - for (int i = 0; i < ndim2; ++i) { - Sdev[i] = S[i]-Sic[i]; - } - // FILE_LOGMatrix(WARNING, Sdev, ndim, ndim, "Sdev mat\n"); // Access histroy dependence + double *Sdev = mat4; + for (int j = 0; j < ndim2; ++j) { + Sdev[j] = devS0np1[j]; + } double *elemS = S0n[e]; - double *S0nLocal = &(elemS[gp*ndim2]); + double *devS0n = &(elemS[gp*ndim2]); double *elemH = Hn[e]; double *HnLocal = &(elemH[gp*ndim2*nPronyLocal]); for (unsigned int i = 0; i < nPronyLocal; ++i) { @@ -188,27 +143,32 @@ void OgdenViscoelastic(int e, int gp) { // Update H_j^{n+1} = c1j*H_j^n + c2j*[Dev S_0^{n+1} - S_0^n] // Update S^{n+1} = S_0^{n+1} + \sum_j H_j^{n+1} for (int j = 0; j < ndim2; ++j) { - HnI[j] = c1i*HnI[j]+c2i*(Sdev[j]-S0nLocal[j]); + HnI[j] = c1i*HnI[j]+c2i*(devS0np1[j]-devS0n[j]); Sdev[j] = Sdev[j] + HnI[j]; } } - double *tau = mat4; - dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, - Sdev, &ndim, &zero, STemp, &ndim); - dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, STemp, &ndim, - F_element_gp, &ndim, &zero, tau, &ndim); - tau[0] = tau[0] + J*K*(J-1); - tau[4] = tau[4] + J*K*(J-1); - tau[8] = tau[8] + J*K*(J-1); - for(int i = 0; i< ndim2; ++i) { - sigma_e[i] = tau[i]*invJ; - } - */ + // Transform devS to sigma + // Compute sigmaTilde + double* sigma = mat1; // Reuse mat1 as H is nolonger required + double* sigmaTemp = mat2; // Reuse mat2 as eigen Vectors of C is nolonger required + // Compute F (dev S) + dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, + Sdev, &ndim, &zero, sigmaTemp, &ndim); + // Compute (F (dev S) F^T)/J + dgemm_(chn, chy, &ndim, &ndim, &ndim, &invJ, sigmaTemp, &ndim, + F_element_gp, &ndim, &zero, sigma, &ndim); - // FILE_LOGMatrix(WARNING, S, ndim, ndim, "S Visco mat\n"); + // Compute deviatoric part of sigmaTilde and add the isochoric part to obtain + // sigma + FILE_LOG_SINGLE(WARNING, "Trace of sigma = %15.9f", sigma[0]+sigma[4]+sigma[8]); + const double volum = invJ*K*(J-1.0); + // Compute sigma + double* sigma_e = sigma; + sigma_e[0] += volum; + sigma_e[4] += volum; + sigma_e[8] += volum; - // TODO (NEED UPDATE from PK2 to Cauchy) // Get location of array to store Cauchy values double * sigma_nLocal = &(sigma_n[sigmaptr[e]+6*gp]); // 6 values saved per gauss point for 3d @@ -226,9 +186,9 @@ void OgdenViscoelastic(int e, int gp) { sigma_nLocal[5] = sigma_e[3]; // Update deviatoric part of S_0 for next time step - // for (int i = 0; i < ndim2; ++i) { - // S0nLocal[i] = Sdev[i]; - // } + for (int i = 0; i < ndim2; ++i) { + devS0n[i] = devS0np1[i]; + } free(gi); free(ti); From f3d0dbc61e1ae128a54d0ae49d289a736f5f177e Mon Sep 17 00:00:00 2001 From: RitikaMenghani Date: Fri, 3 Sep 2021 02:12:36 -0400 Subject: [PATCH 054/106] added follow code --- examples/ex5/CMakeLists.txt | 2 + examples/ex5/coarse_brain_c288_RI.inp | 35665 +++++++++++++++++++++ examples/ex5/ex5.cpp | 146 +- examples/ex5/ex5update.cpp | 1764 + examples/ex5/input_test_hardyc288t3.json | 1825 ++ examples/ex5/materials.dat | 21 +- src/io/input/ReadInputFile.cpp | 1 + src/materials/Ogden.cpp | 94 +- src/materials/OgdenViscoelastic.cpp | 187 +- 9 files changed, 39522 insertions(+), 183 deletions(-) create mode 100644 examples/ex5/coarse_brain_c288_RI.inp create mode 100644 examples/ex5/ex5update.cpp create mode 100644 examples/ex5/input_test_hardyc288t3.json diff --git a/examples/ex5/CMakeLists.txt b/examples/ex5/CMakeLists.txt index ab3c1b91..315e5ea8 100644 --- a/examples/ex5/CMakeLists.txt +++ b/examples/ex5/CMakeLists.txt @@ -13,12 +13,14 @@ endif(ENABLE_MPI) file(INSTALL brain.inp DESTINATION .) file(INSTALL coarse_brain.inp DESTINATION .) +file(INSTALL coarse_brain_c288_RI.inp DESTINATION .) file(INSTALL materials.dat DESTINATION .) file(INSTALL input.json DESTINATION .) file(INSTALL input_test_p1.json DESTINATION .) file(INSTALL input_test_pt.json DESTINATION .) file(INSTALL input_test_s.json DESTINATION .) file(INSTALL input_test_x.json DESTINATION .) +file(INSTALL input_test_hardyc288t3.json DESTINATION .) file(INSTALL coarse_cellcentres.txt DESTINATION .) file(INSTALL fine_cellcentres.txt DESTINATION .) file(INSTALL updateOutputJson.py DESTINATION .) diff --git a/examples/ex5/coarse_brain_c288_RI.inp 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12335 +9076 , 12341, 12347, 12348, 12342, 12343, 12349, 12358, 12352 +9077 , 12348, 12347, 12341, 12342, 12357, 12350, 12344, 12351 +9078 , 12347, 12349, 12343, 12341, 12274, 12278, 12262, 12271 +9079 , 12347, 12274, 12271, 12341, 12350, 12279, 12275, 12344 +9080 , 12354, 12353, 12347, 12348, 12363, 12355, 12350, 12357 +9081 , 12347, 12353, 12354, 12348, 12349, 12356, 12364, 12358 +9082 , 12274, 12277, 12353, 12347, 12278, 12282, 12356, 12349 +9083 , 12353, 12277, 12274, 12347, 12355, 12281, 12279, 12350 +9084 , 12360, 12359, 12353, 12354, 12367, 12361, 12355, 12363 +9085 , 12353, 12359, 12360, 12354, 12356, 12362, 12368, 12364 +9086 , 12277, 12280, 12359, 12353, 12282, 12285, 12362, 12356 +9087 , 12359, 12280, 12277, 12353, 12361, 12284, 12281, 12355 +9088 , 12255, 12365, 12359, 12360, 12370, 12366, 12361, 12367 +9089 , 12359, 12365, 12255, 12360, 12362, 12276, 12249, 12368 +9090 , 12280, 12283, 12365, 12359, 12285, 12288, 12276, 12362 +9091 , 12365, 12283, 12280, 12359, 12366, 12287, 12284, 12361 +9092 , 12251, 12254, 12365, 12255, 12372, 12369, 12366, 12370 +9093 , 12283, 12286, 12254, 12365, 12288, 12291, 12247, 12276 +9094 , 12254, 12286, 12283, 12365, 12369, 12290, 12287, 12366 +9095 , 12250, 12324, 12254, 12251, 12375, 12371, 12369, 12372 +9096 , 12371, 12324, 12254, 12369, 12297, 12289, 12286, 12290 +9097 , 12286, 12289, 12324, 12254, 12291, 12298, 12253, 12247 +9098 , 12325, 12373, 12324, 12250, 12377, 12374, 12371, 12375 +9099 , 12374, 12373, 12324, 12371, 12300, 12296, 12289, 12297 +9100 , 12289, 12296, 12373, 12324, 12298, 12301, 12327, 12253 +9101 , 12325, 12293, 12327, 12373, 12376, 12381, 12379, 12303 +9102 , 12376, 12303, 12373, 12325, 12457, 12378, 12374, 12377 +9103 , 12373, 12327, 12301, 12296, 12303, 12379, 12305, 12299 +9104 , 12303, 12299, 12296, 12373, 12378, 12304, 12300, 12374 +9105 , 12292, 12380, 12381, 12293, 12382, 12453, 12422, 12326 +9106 , 12381, 12380, 12292, 12293, 12379, 12454, 12383, 12327 +9107 , 7080, 7079, 7099, 7082, 12303, 12306, 12385, 12378 +9108 , 7079, 7100, 7101, 7099, 12306, 12384, 12389, 12385 +9109 , 7079, 7100, 12384, 12306, 7083, 7102, 12390, 12386 +9110 , 7103, 7104, 7105, 7100, 12387, 12391, 12388, 12384 +9111 , 7103, 12387, 12384, 7100, 7106, 12392, 12390, 7102 +9112 , 7100, 7105, 7107, 7101, 12384, 12388, 12467, 12389 +9113 , 7106, 7108, 7104, 7103, 12392, 12469, 12391, 12387 +9114 , 7109, 7110, 7111, 7112, 12394, 12393, 12398, 12396 +9115 , 7109, 7110, 12393, 12394, 7113, 7114, 12399, 12397 +9116 , 7109, 7115, 7116, 7113, 12394, 12395, 12478, 12397 +9117 , 7112, 7117, 7115, 7109, 12396, 12479, 12395, 12394 +9118 , 7110, 7086, 7118, 7111, 12393, 12310, 12400, 12398 +9119 , 7110, 7086, 12310, 12393, 7114, 7090, 12401, 12399 +9120 , 7086, 7085, 7095, 7118, 12310, 12313, 12402, 12400 +9121 , 12405, 12404, 12403, 12406, 12420, 12407, 12408, 12413 +9122 , 12403, 12404, 12405, 12406, 12409, 12410, 12419, 12412 +9123 , 12407, 12404, 12403, 12408, 12319, 12316, 12312, 12317 +9124 , 12312, 12316, 12404, 12403, 12318, 12320, 12410, 12409 +9125 , 12406, 12403, 12313, 12411, 12413, 12408, 12402, 12493 +9126 , 12313, 12403, 12406, 12411, 12414, 12409, 12412, 12492 +9127 , 12312, 12403, 12408, 12317, 12308, 12313, 12402, 12314 +9128 , 12318, 12409, 12403, 12312, 12315, 12414, 12313, 12308 +9129 , 12416, 12415, 12404, 12405, 12427, 12417, 12407, 12420 +9130 , 12404, 12415, 12416, 12405, 12410, 12418, 12426, 12419 +9131 , 12417, 12415, 12404, 12407, 12321, 12259, 12316, 12319 +9132 , 12316, 12259, 12415, 12404, 12320, 12322, 12418, 12410 +9133 , 12293, 12381, 12376, 12325, 12326, 12422, 12456, 12421 +9134 , 12423, 12337, 12415, 12416, 12430, 12424, 12417, 12427 +9135 , 12415, 12337, 12423, 12416, 12418, 12425, 12429, 12426 +9136 , 12424, 12337, 12415, 12417, 12323, 12265, 12259, 12321 +9137 , 12259, 12265, 12337, 12415, 12322, 12340, 12425, 12418 +9138 , 12428, 12332, 12337, 12423, 12433, 12338, 12424, 12430 +9139 , 12337, 12332, 12428, 12423, 12425, 12339, 12432, 12429 +9140 , 12431, 12331, 12332, 12428, 12436, 12345, 12338, 12433 +9141 , 12332, 12331, 12431, 12428, 12339, 12346, 12435, 12432 +9142 , 12434, 12342, 12331, 12431, 12439, 12351, 12345, 12436 +9143 , 12331, 12342, 12434, 12431, 12346, 12352, 12438, 12435 +9144 , 12437, 12348, 12342, 12434, 12442, 12357, 12351, 12439 +9145 , 12342, 12348, 12437, 12434, 12352, 12358, 12441, 12438 +9146 , 12440, 12354, 12348, 12437, 12445, 12363, 12357, 12442 +9147 , 12348, 12354, 12440, 12437, 12358, 12364, 12444, 12441 +9148 , 12443, 12360, 12354, 12440, 12448, 12367, 12363, 12445 +9149 , 12354, 12360, 12443, 12440, 12364, 12368, 12447, 12444 +9150 , 12446, 12255, 12360, 12443, 12449, 12370, 12367, 12448 +9151 , 12360, 12255, 12446, 12443, 12368, 12249, 12263, 12447 +9152 , 12256, 12251, 12255, 12446, 12450, 12372, 12370, 12449 +9153 , 12328, 12250, 12251, 12256, 12455, 12375, 12372, 12450 +9154 , 12380, 12451, 12452, 12381, 12453, 12524, 12464, 12422 +9155 , 12452, 12451, 12380, 12381, 12386, 12525, 12454, 12379 +9156 , 12421, 12325, 12250, 12328, 12458, 12377, 12375, 12455 +9157 , 12456, 12376, 12325, 12421, 12462, 12457, 12377, 12458 +9158 , 12381, 12452, 12459, 12376, 12422, 12464, 12460, 12456 +9159 , 12459, 12452, 12381, 12376, 12306, 12386, 12379, 12303 +9160 , 12460, 12459, 12376, 12456, 12465, 12461, 12457, 12462 +9161 , 12461, 12459, 12376, 12457, 12385, 12306, 12303, 12378 +9162 , 12459, 12388, 12463, 12460, 12452, 12466, 12548, 12464 +9163 , 12463, 12388, 12459, 12460, 12549, 12467, 12461, 12465 +9164 , 12388, 12466, 12452, 12459, 12384, 12390, 12386, 12306 +9165 , 12388, 12384, 12306, 12459, 12467, 12389, 12385, 12461 +9166 , 7105, 7104, 7119, 7107, 12388, 12391, 12470, 12467 +9167 , 7108, 7120, 7121, 7104, 12469, 12472, 12468, 12391 +9168 , 7104, 7121, 7122, 7119, 12391, 12468, 12473, 12470 +9169 , 7120, 7123, 7124, 7121, 12472, 12561, 12471, 12468 +9170 , 7121, 7124, 7125, 7122, 12468, 12471, 12562, 12473 +9171 , 7126, 7116, 7115, 7127, 12476, 12478, 12395, 12474 +9172 , 7127, 7115, 7117, 7128, 12474, 12395, 12479, 12477 +9173 , 7127, 7129, 7130, 7126, 12474, 12475, 12572, 12476 +9174 , 7128, 7131, 7129, 7127, 12477, 12571, 12475, 12474 +9175 , 12480, 12481, 12482, 12483, 12484, 12485, 12494, 12489 +9176 , 12482, 12481, 12480, 12483, 12495, 12486, 12487, 12490 +9177 , 12481, 12485, 12484, 12480, 12310, 12401, 12399, 12393 +9178 , 12486, 12481, 12480, 12487, 12400, 12310, 12393, 12398 +9179 , 12395, 12480, 12483, 12488, 12478, 12484, 12489, 12576 +9180 , 12483, 12480, 12395, 12488, 12490, 12487, 12479, 12575 +9181 , 12399, 12484, 12480, 12393, 12397, 12478, 12395, 12394 +9182 , 12480, 12393, 12394, 12395, 12487, 12398, 12396, 12479 +9183 , 12481, 12411, 12491, 12482, 12485, 12492, 12497, 12494 +9184 , 12491, 12411, 12481, 12482, 12498, 12493, 12486, 12495 +9185 , 12411, 12492, 12485, 12481, 12313, 12414, 12401, 12310 +9186 , 12493, 12411, 12481, 12486, 12402, 12313, 12310, 12400 +9187 , 12411, 12406, 12496, 12491, 12492, 12412, 12500, 12497 +9188 , 12496, 12406, 12411, 12491, 12501, 12413, 12493, 12498 +9189 , 12406, 12405, 12499, 12496, 12412, 12419, 12503, 12500 +9190 , 12499, 12405, 12406, 12496, 12504, 12420, 12413, 12501 +9191 , 12405, 12416, 12502, 12499, 12419, 12426, 12506, 12503 +9192 , 12502, 12416, 12405, 12499, 12507, 12427, 12420, 12504 +9193 , 12416, 12423, 12505, 12502, 12426, 12429, 12509, 12506 +9194 , 12505, 12423, 12416, 12502, 12510, 12430, 12427, 12507 +9195 , 12423, 12428, 12508, 12505, 12429, 12432, 12512, 12509 +9196 , 12508, 12428, 12423, 12505, 12513, 12433, 12430, 12510 +9197 , 12428, 12431, 12511, 12508, 12432, 12435, 12515, 12512 +9198 , 12511, 12431, 12428, 12508, 12516, 12436, 12433, 12513 +9199 , 12431, 12434, 12514, 12511, 12435, 12438, 12518, 12515 +9200 , 12514, 12434, 12431, 12511, 12519, 12439, 12436, 12516 +9201 , 12434, 12437, 12517, 12514, 12438, 12441, 12521, 12518 +9202 , 12517, 12437, 12434, 12514, 12522, 12442, 12439, 12519 +9203 , 12437, 12440, 12520, 12517, 12441, 12444, 12527, 12521 +9204 , 12520, 12440, 12437, 12517, 12528, 12445, 12442, 12522 +9205 , 12451, 12523, 12466, 12452, 12524, 12596, 12548, 12464 +9206 , 12466, 12523, 12451, 12452, 12390, 12599, 12525, 12386 +9207 , 12440, 12443, 12526, 12520, 12444, 12447, 12530, 12527 +9208 , 12526, 12443, 12440, 12520, 12531, 12448, 12445, 12528 +9209 , 12443, 12446, 12529, 12526, 12447, 12263, 12533, 12530 +9210 , 12529, 12446, 12443, 12526, 12534, 12449, 12448, 12531 +9211 , 12446, 12256, 12532, 12529, 12263, 12245, 12536, 12533 +9212 , 12532, 12256, 12446, 12529, 12537, 12450, 12449, 12534 +9213 , 12256, 12328, 12535, 12532, 12245, 12252, 12539, 12536 +9214 , 12535, 12328, 12256, 12532, 12540, 12455, 12450, 12537 +9215 , 12328, 12421, 12538, 12535, 12252, 12326, 12542, 12539 +9216 , 12538, 12421, 12328, 12535, 12543, 12458, 12455, 12540 +9217 , 12421, 12456, 12541, 12538, 12326, 12422, 12545, 12542 +9218 , 12541, 12456, 12421, 12538, 12546, 12462, 12458, 12543 +9219 , 12456, 12460, 12544, 12541, 12422, 12464, 12550, 12545 +9220 , 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12589, 12586, 12500, 12503, 12594, 12591 +9253 , 12592, 12502, 12499, 12589, 12597, 12507, 12504, 12593 +9254 , 12499, 12502, 12592, 12589, 12503, 12506, 12598, 12594 +9255 , 12595, 12505, 12502, 12592, 12602, 12510, 12507, 12597 +9256 , 12502, 12505, 12595, 12592, 12506, 12509, 12603, 12598 +9257 , 12548, 12596, 12523, 12466, 12554, 13394, 12600, 12469 +9258 , 12466, 12523, 12599, 12390, 12469, 12600, 15493, 12392 +9259 , 12601, 12508, 12505, 12595, 12605, 12513, 12510, 12602 +9260 , 12505, 12508, 12601, 12595, 12509, 12512, 12606, 12603 +9261 , 12604, 12511, 12508, 12601, 12608, 12516, 12513, 12605 +9262 , 12508, 12511, 12604, 12601, 12512, 12515, 12609, 12606 +9263 , 12607, 12514, 12511, 12604, 12611, 12519, 12516, 12608 +9264 , 12511, 12514, 12607, 12604, 12515, 12518, 12612, 12609 +9265 , 12610, 12517, 12514, 12607, 12614, 12522, 12519, 12611 +9266 , 12514, 12517, 12610, 12607, 12518, 12521, 12615, 12612 +9267 , 12613, 12520, 12517, 12610, 12617, 12528, 12522, 12614 +9268 , 12517, 12520, 12613, 12610, 12521, 12527, 12618, 12615 +9269 , 12616, 12526, 12520, 12613, 12620, 12531, 12528, 12617 +9270 , 12520, 12526, 12616, 12613, 12527, 12530, 12621, 12618 +9271 , 12619, 12529, 12526, 12616, 12623, 12534, 12531, 12620 +9272 , 12526, 12529, 12619, 12616, 12530, 12533, 12624, 12621 +9273 , 12622, 12532, 12529, 12619, 12626, 12537, 12534, 12623 +9274 , 12529, 12532, 12622, 12619, 12533, 12536, 12627, 12624 +9275 , 12625, 12535, 12532, 12622, 12629, 12540, 12537, 12626 +9276 , 12532, 12535, 12625, 12622, 12536, 12539, 12630, 12627 +9277 , 12628, 12538, 12535, 12625, 12632, 12543, 12540, 12629 +9278 , 12535, 12538, 12628, 12625, 12539, 12542, 12633, 12630 +9279 , 12631, 12541, 12538, 12628, 12635, 12546, 12543, 12632 +9280 , 12538, 12541, 12631, 12628, 12542, 12545, 12636, 12633 +9281 , 12634, 12544, 12541, 12631, 12638, 12551, 12546, 12635 +9282 , 12541, 12544, 12634, 12631, 12545, 12550, 12639, 12636 +9283 , 12637, 12547, 12544, 12634, 12641, 12557, 12551, 12638 +9284 , 12544, 12547, 12637, 12634, 12550, 12556, 12642, 12639 +9285 , 12469, 12392, 12390, 12466, 12391, 12387, 12384, 12388 +9286 , 12640, 12553, 12547, 12637, 12646, 12560, 12557, 12641 +9287 , 12547, 12553, 12640, 12637, 12556, 12559, 12647, 12642 +9288 , 12643, 12558, 12553, 12640, 12649, 12644, 12560, 12646 +9289 , 12553, 12558, 12643, 12640, 12559, 12645, 12650, 12647 +9290 , 12558, 12564, 12648, 12643, 12645, 12651, 12739, 12650 +9291 , 12648, 12564, 12558, 12643, 12738, 12652, 12644, 12649 +9292 , 12558, 12645, 12561, 12471, 12564, 12651, 12566, 12563 +9293 , 12564, 12563, 12471, 12558, 12652, 12565, 12562, 12644 +9294 , 7135, 7144, 7145, 7136, 12564, 12653, 12655, 12652 +9295 , 7137, 7146, 7144, 7135, 12651, 12656, 12653, 12564 +9296 , 7144, 7147, 7148, 7145, 12653, 12654, 12745, 12655 +9297 , 7146, 7149, 7147, 7144, 12656, 12746, 12654, 12653 +9298 , 7150, 7142, 7141, 7151, 12657, 12568, 12661, 12659 +9299 , 7152, 7143, 7142, 7150, 12660, 12662, 12568, 12657 +9300 , 7151, 7153, 7154, 7150, 12659, 12755, 12658, 12657 +9301 , 7150, 7154, 7155, 7152, 12657, 12658, 12756, 12660 +9302 , 7156, 7157, 7120, 7108, 12600, 12727, 12472, 12469 +9303 , 7156, 12600, 12469, 7108, 7158, 15493, 12392, 7106 +9304 , 12663, 12574, 12577, 12664, 12671, 12578, 12665, 12668 +9305 , 12577, 12574, 12663, 12664, 12666, 12579, 12672, 12669 +9306 , 12664, 12577, 12568, 12667, 12668, 12665, 12661, 12759 +9307 , 12568, 12577, 12664, 12667, 12662, 12666, 12669, 12760 +9308 , 12475, 12577, 12665, 12571, 12567, 12568, 12661, 12569 +9309 , 12572, 12666, 12577, 12475, 12570, 12662, 12568, 12567 +9310 , 12670, 12573, 12574, 12663, 12674, 12581, 12578, 12671 +9311 , 12574, 12573, 12670, 12663, 12579, 12582, 12675, 12672 +9312 , 12673, 12580, 12573, 12670, 12677, 12584, 12581, 12674 +9313 , 12573, 12580, 12673, 12670, 12582, 12585, 12678, 12675 +9314 , 12676, 12583, 12580, 12673, 12680, 12587, 12584, 12677 +9315 , 12580, 12583, 12676, 12673, 12585, 12588, 12681, 12678 +9316 , 12679, 12586, 12583, 12676, 12683, 12590, 12587, 12680 +9317 , 12583, 12586, 12679, 12676, 12588, 12591, 12684, 12681 +9318 , 12682, 12589, 12586, 12679, 12686, 12593, 12590, 12683 +9319 , 12586, 12589, 12682, 12679, 12591, 12594, 12687, 12684 +9320 , 12685, 12592, 12589, 12682, 12689, 12597, 12593, 12686 +9321 , 12589, 12592, 12685, 12682, 12594, 12598, 12690, 12687 +9322 , 12688, 12595, 12592, 12685, 12692, 12602, 12597, 12689 +9323 , 12592, 12595, 12688, 12685, 12598, 12603, 12693, 12690 +9324 , 12691, 12601, 12595, 12688, 12695, 12605, 12602, 12692 +9325 , 12595, 12601, 12691, 12688, 12603, 12606, 12696, 12693 +9326 , 12694, 12604, 12601, 12691, 12698, 12608, 12605, 12695 +9327 , 12601, 12604, 12694, 12691, 12606, 12609, 12699, 12696 +9328 , 12697, 12607, 12604, 12694, 12701, 12611, 12608, 12698 +9329 , 12604, 12607, 12697, 12694, 12609, 12612, 12702, 12699 +9330 , 12700, 12610, 12607, 12697, 12704, 12614, 12611, 12701 +9331 , 12607, 12610, 12700, 12697, 12612, 12615, 12705, 12702 +9332 , 12703, 12613, 12610, 12700, 12707, 12617, 12614, 12704 +9333 , 12610, 12613, 12703, 12700, 12615, 12618, 12708, 12705 +9334 , 12706, 12616, 12613, 12703, 12710, 12620, 12617, 12707 +9335 , 12613, 12616, 12706, 12703, 12618, 12621, 12711, 12708 +9336 , 12709, 12619, 12616, 12706, 12713, 12623, 12620, 12710 +9337 , 12616, 12619, 12709, 12706, 12621, 12624, 12714, 12711 +9338 , 12712, 12622, 12619, 12709, 12716, 12626, 12623, 12713 +9339 , 12619, 12622, 12712, 12709, 12624, 12627, 12717, 12714 +9340 , 12715, 12625, 12622, 12712, 12719, 12629, 12626, 12716 +9341 , 12622, 12625, 12715, 12712, 12627, 12630, 12720, 12717 +9342 , 12718, 12628, 12625, 12715, 12722, 12632, 12629, 12719 +9343 , 12625, 12628, 12718, 12715, 12630, 12633, 12723, 12720 +9344 , 12721, 12631, 12628, 12718, 12725, 12635, 12632, 12722 +9345 , 12628, 12631, 12721, 12718, 12633, 12636, 12726, 12723 +9346 , 12724, 12634, 12631, 12721, 12729, 12638, 12635, 12725 +9347 , 12631, 12634, 12724, 12721, 12636, 12639, 12730, 12726 +9348 , 7157, 7159, 7123, 7120, 12727, 13420, 12561, 12472 +9349 , 12728, 12637, 12634, 12724, 12732, 12641, 12638, 12729 +9350 , 12634, 12637, 12728, 12724, 12639, 12642, 12733, 12730 +9351 , 12731, 12640, 12637, 12728, 12735, 12646, 12641, 12732 +9352 , 12637, 12640, 12731, 12728, 12642, 12647, 12736, 12733 +9353 , 12734, 12643, 12640, 12731, 12740, 12649, 12646, 12735 +9354 , 12640, 12643, 12734, 12731, 12647, 12650, 12741, 12736 +9355 , 12737, 12648, 12643, 12734, 12743, 12738, 12649, 12740 +9356 , 12643, 12648, 12737, 12734, 12650, 12739, 12744, 12741 +9357 , 12742, 12654, 12648, 12737, 12834, 12745, 12738, 12743 +9358 , 12648, 12654, 12742, 12737, 12739, 12746, 12835, 12744 +9359 , 12738, 12648, 12564, 12652, 12745, 12654, 12653, 12655 +9360 , 12648, 12739, 12651, 12564, 12654, 12746, 12656, 12653 +9361 , 7147, 7160, 7161, 7148, 12654, 12747, 12749, 12745 +9362 , 7149, 7162, 7160, 7147, 12746, 12750, 12747, 12654 +9363 , 7160, 7163, 7164, 7161, 12747, 12748, 12842, 12749 +9364 , 7162, 7165, 7163, 7160, 12750, 12841, 12748, 12747 +9365 , 7166, 7154, 7153, 7167, 12751, 12658, 12755, 12753 +9366 , 7168, 7155, 7154, 7166, 12754, 12756, 12658, 12751 +9367 , 7167, 7169, 7170, 7166, 12753, 12844, 12752, 12751 +9368 , 7166, 7170, 7171, 7168, 12751, 12752, 12845, 12754 +9369 , 12757, 12664, 12667, 12758, 12765, 12668, 12759, 12762 +9370 , 12667, 12664, 12757, 12758, 12760, 12669, 12766, 12763 +9371 , 12758, 12667, 12658, 12761, 12762, 12759, 12755, 12848 +9372 , 12658, 12667, 12758, 12761, 12756, 12760, 12763, 12849 +9373 , 12568, 12667, 12759, 12661, 12657, 12658, 12755, 12659 +9374 , 12662, 12760, 12667, 12568, 12660, 12756, 12658, 12657 +9375 , 12764, 12663, 12664, 12757, 12768, 12671, 12668, 12765 +9376 , 12664, 12663, 12764, 12757, 12669, 12672, 12769, 12766 +9377 , 12767, 12670, 12663, 12764, 12771, 12674, 12671, 12768 +9378 , 12663, 12670, 12767, 12764, 12672, 12675, 12772, 12769 +9379 , 12770, 12673, 12670, 12767, 12774, 12677, 12674, 12771 +9380 , 12670, 12673, 12770, 12767, 12675, 12678, 12775, 12772 +9381 , 12773, 12676, 12673, 12770, 12777, 12680, 12677, 12774 +9382 , 12673, 12676, 12773, 12770, 12678, 12681, 12778, 12775 +9383 , 12776, 12679, 12676, 12773, 12780, 12683, 12680, 12777 +9384 , 12676, 12679, 12776, 12773, 12681, 12684, 10900, 12778 +9385 , 12779, 12682, 12679, 12776, 12782, 12686, 12683, 12780 +9386 , 12679, 12682, 12779, 12776, 12684, 12687, 10901, 10900 +9387 , 12781, 12685, 12682, 12779, 12784, 12689, 12686, 12782 +9388 , 12682, 12685, 12781, 12779, 12687, 12690, 10907, 10901 +9389 , 12783, 12688, 12685, 12781, 12786, 12692, 12689, 12784 +9390 , 12685, 12688, 12783, 12781, 12690, 12693, 10908, 10907 +9391 , 12785, 12691, 12688, 12783, 12788, 12695, 12692, 12786 +9392 , 12688, 12691, 12785, 12783, 12693, 12696, 12789, 10908 +9393 , 12787, 12694, 12691, 12785, 12792, 12698, 12695, 12788 +9394 , 12691, 12694, 12787, 12785, 12696, 12699, 12793, 12789 +9395 , 7172, 7173, 7116, 7126, 12790, 12855, 12478, 12476 +9396 , 7126, 7130, 7174, 7172, 12476, 12572, 13507, 12790 +9397 , 12791, 12697, 12694, 12787, 12795, 12701, 12698, 12792 +9398 , 12694, 12697, 12791, 12787, 12699, 12702, 12796, 12793 +9399 , 12794, 12700, 12697, 12791, 12798, 12704, 12701, 12795 +9400 , 12697, 12700, 12794, 12791, 12702, 12705, 12799, 12796 +9401 , 12797, 12703, 12700, 12794, 12801, 12707, 12704, 12798 +9402 , 12700, 12703, 12797, 12794, 12705, 12708, 12802, 12799 +9403 , 12800, 12706, 12703, 12797, 12804, 12710, 12707, 12801 +9404 , 12703, 12706, 12800, 12797, 12708, 12711, 12805, 12802 +9405 , 12803, 12709, 12706, 12800, 12807, 12713, 12710, 12804 +9406 , 12706, 12709, 12803, 12800, 12711, 12714, 12808, 12805 +9407 , 12806, 12712, 12709, 12803, 12810, 12716, 12713, 12807 +9408 , 12709, 12712, 12806, 12803, 12714, 12717, 12811, 12808 +9409 , 12809, 12715, 12712, 12806, 12813, 12719, 12716, 12810 +9410 , 12712, 12715, 12809, 12806, 12717, 12720, 12814, 12811 +9411 , 12812, 12718, 12715, 12809, 12816, 12722, 12719, 12813 +9412 , 12715, 12718, 12812, 12809, 12720, 12723, 12817, 12814 +9413 , 12815, 12721, 12718, 12812, 12819, 12725, 12722, 12816 +9414 , 12718, 12721, 12815, 12812, 12723, 12726, 12820, 12817 +9415 , 12818, 12724, 12721, 12815, 12822, 12729, 12725, 12819 +9416 , 12721, 12724, 12818, 12815, 12726, 12730, 12823, 12820 +9417 , 12821, 12728, 12724, 12818, 12825, 12732, 12729, 12822 +9418 , 12724, 12728, 12821, 12818, 12730, 12733, 12826, 12823 +9419 , 12824, 12731, 12728, 12821, 12828, 12735, 12732, 12825 +9420 , 12728, 12731, 12824, 12821, 12733, 12736, 12829, 12826 +9421 , 12827, 12734, 12731, 12824, 12831, 12740, 12735, 12828 +9422 , 12731, 12734, 12827, 12824, 12736, 12741, 12832, 12829 +9423 , 12830, 12737, 12734, 12827, 12836, 12743, 12740, 12831 +9424 , 12734, 12737, 12830, 12827, 12741, 12744, 12837, 12832 +9425 , 12833, 12742, 12737, 12830, 12838, 12834, 12743, 12836 +9426 , 12737, 12742, 12833, 12830, 12744, 12835, 12839, 12837 +9427 , 12838, 12833, 12742, 12834, 12919, 12840, 12748, 12842 +9428 , 12833, 12839, 12835, 12742, 12840, 12920, 12841, 12748 +9429 , 12742, 12835, 12746, 12654, 12748, 12841, 12750, 12747 +9430 , 12748, 12747, 12654, 12742, 12842, 12749, 12745, 12834 +9431 , 7163, 7175, 7176, 7164, 12748, 12840, 12919, 12842 +9432 , 7165, 7177, 7175, 7163, 12841, 12920, 12840, 12748 +9433 , 7169, 7178, 7179, 7170, 12844, 12925, 12843, 12752 +9434 , 7170, 7179, 7180, 7171, 12752, 12843, 12926, 12845 +9435 , 12846, 12758, 12761, 12847, 12853, 12762, 12848, 12851 +9436 , 12761, 12758, 12846, 12847, 12849, 12763, 12854, 12850 +9437 , 12756, 12849, 12761, 12658, 12754, 12845, 12752, 12751 +9438 , 12845, 12849, 12761, 12752, 12926, 12850, 12847, 12843 +9439 , 12761, 12658, 12751, 12752, 12848, 12755, 12753, 12844 +9440 , 12847, 12761, 12752, 12843, 12851, 12848, 12844, 12925 +9441 , 12852, 12757, 12758, 12846, 12857, 12765, 12762, 12853 +9442 , 12758, 12757, 12852, 12846, 12763, 12766, 12858, 12854 +9443 , 7116, 12478, 12855, 7173, 7113, 12397, 15496, 7181 +9444 , 12856, 12764, 12757, 12852, 12860, 12768, 12765, 12857 +9445 , 12757, 12764, 12856, 12852, 12766, 12769, 12861, 12858 +9446 , 12859, 12767, 12764, 12856, 12863, 12771, 12768, 12860 +9447 , 12764, 12767, 12859, 12856, 12769, 12772, 12864, 12861 +9448 , 12862, 12770, 12767, 12859, 12866, 12774, 12771, 12863 +9449 , 12767, 12770, 12862, 12859, 12772, 12775, 12867, 12864 +9450 , 12865, 12773, 12770, 12862, 12869, 12777, 12774, 12866 +9451 , 12770, 12773, 12865, 12862, 12775, 12778, 10910, 12867 +9452 , 12868, 12776, 12773, 12865, 12871, 12780, 12777, 12869 +9453 , 12773, 12776, 12868, 12865, 12778, 10900, 10899, 10910 +9454 , 12870, 12779, 12776, 12868, 12872, 12782, 12780, 12871 +9455 , 12776, 12779, 12870, 12868, 10900, 10901, 10902, 10899 +9456 , 10665, 12781, 12779, 12870, 12873, 12784, 12782, 12872 +9457 , 12779, 12781, 10665, 12870, 10901, 10907, 10669, 10902 +9458 , 10666, 12783, 12781, 10665, 10672, 12786, 12784, 12873 +9459 , 12781, 12783, 10666, 10665, 10907, 10908, 10670, 10669 +9460 , 10671, 12785, 12783, 10666, 10675, 12788, 12786, 10672 +9461 , 12783, 12785, 10671, 10666, 10908, 12789, 10676, 10670 +9462 , 10674, 12787, 12785, 10671, 10678, 12792, 12788, 10675 +9463 , 12785, 12787, 10674, 10671, 12789, 12793, 10679, 10676 +9464 , 10677, 12791, 12787, 10674, 10681, 12795, 12792, 10678 +9465 , 12787, 12791, 10677, 10674, 12793, 12796, 10682, 10679 +9466 , 10680, 12794, 12791, 10677, 12875, 12798, 12795, 10681 +9467 , 12791, 12794, 10680, 10677, 12796, 12799, 10770, 10682 +9468 , 12874, 12797, 12794, 10680, 12877, 12801, 12798, 12875 +9469 , 12794, 12797, 12874, 10680, 12799, 12802, 12878, 10770 +9470 , 12876, 12800, 12797, 12874, 12880, 12804, 12801, 12877 +9471 , 12797, 12800, 12876, 12874, 12802, 12805, 12881, 12878 +9472 , 12879, 12803, 12800, 12876, 12883, 12807, 12804, 12880 +9473 , 12800, 12803, 12879, 12876, 12805, 12808, 12884, 12881 +9474 , 12882, 12806, 12803, 12879, 12886, 12810, 12807, 12883 +9475 , 12803, 12806, 12882, 12879, 12808, 12811, 12887, 12884 +9476 , 12885, 12809, 12806, 12882, 12889, 12813, 12810, 12886 +9477 , 12806, 12809, 12885, 12882, 12811, 12814, 12890, 12887 +9478 , 12888, 12812, 12809, 12885, 12892, 12816, 12813, 12889 +9479 , 12809, 12812, 12888, 12885, 12814, 12817, 12893, 12890 +9480 , 12891, 12815, 12812, 12888, 12895, 12819, 12816, 12892 +9481 , 12812, 12815, 12891, 12888, 12817, 12820, 12896, 12893 +9482 , 12894, 12818, 12815, 12891, 12902, 12822, 12819, 12895 +9483 , 12815, 12818, 12894, 12891, 12820, 12823, 12903, 12896 +9484 , 12897, 12898, 12485, 12484, 12899, 12949, 12494, 12489 +9485 , 12485, 12898, 12897, 12484, 12401, 12950, 12900, 12399 +9486 , 12897, 12899, 12489, 12484, 12855, 13525, 12576, 12478 +9487 , 12900, 12897, 12484, 12399, 15496, 12855, 12478, 12397 +9488 , 12901, 12821, 12818, 12894, 12905, 12825, 12822, 12902 +9489 , 12818, 12821, 12901, 12894, 12823, 12826, 12906, 12903 +9490 , 12904, 12824, 12821, 12901, 12908, 12828, 12825, 12905 +9491 , 12821, 12824, 12904, 12901, 12826, 12829, 12909, 12906 +9492 , 12907, 12827, 12824, 12904, 12911, 12831, 12828, 12908 +9493 , 12824, 12827, 12907, 12904, 12829, 12832, 12912, 12909 +9494 , 12910, 12830, 12827, 12907, 12914, 12836, 12831, 12911 +9495 , 12827, 12830, 12910, 12907, 12832, 12837, 12915, 12912 +9496 , 12913, 12833, 12830, 12910, 12916, 12838, 12836, 12914 +9497 , 12830, 12833, 12913, 12910, 12837, 12839, 12917, 12915 +9498 , 12916, 12913, 12833, 12838, 12981, 12918, 12840, 12919 +9499 , 12913, 12917, 12839, 12833, 12918, 12982, 12920, 12840 +9500 , 7182, 7183, 7184, 7175, 12921, 12922, 12918, 12840 +9501 , 7177, 7185, 7182, 7175, 12920, 12923, 12921, 12840 +9502 , 7175, 7184, 7186, 7176, 12840, 12918, 12981, 12919 +9503 , 7185, 7187, 7183, 7182, 12923, 12985, 12922, 12921 +9504 , 7188, 7189, 7190, 7179, 12847, 12927, 12924, 12843 +9505 , 7178, 7191, 7188, 7179, 12925, 12851, 12847, 12843 +9506 , 7179, 7190, 7192, 7180, 12843, 12924, 12991, 12926 +9507 , 7191, 7193, 7189, 7188, 12851, 12992, 12927, 12847 +9508 , 12928, 12852, 12846, 12929, 12933, 12857, 12853, 12930 +9509 , 12846, 12852, 12928, 12929, 12854, 12858, 12934, 12931 +9510 , 12846, 12929, 12930, 12853, 12847, 12927, 12992, 12851 +9511 , 12854, 12931, 12929, 12846, 12850, 12998, 12927, 12847 +9512 , 12932, 12856, 12852, 12928, 12937, 12860, 12857, 12933 +9513 , 12852, 12856, 12932, 12928, 12858, 12861, 12938, 12934 +9514 , 7041, 7194, 7057, 7042, 12935, 13285, 12282, 12278 +9515 , 12936, 12859, 12856, 12932, 12940, 12863, 12860, 12937 +9516 , 12856, 12859, 12936, 12932, 12861, 12864, 12941, 12938 +9517 , 12939, 12862, 12859, 12936, 12943, 12866, 12863, 12940 +9518 , 12859, 12862, 12939, 12936, 12864, 12867, 12944, 12941 +9519 , 12942, 12865, 12862, 12939, 12946, 12869, 12866, 12943 +9520 , 12862, 12865, 12942, 12939, 12867, 10910, 10912, 12944 +9521 , 12945, 12868, 12865, 12942, 12947, 12871, 12869, 12946 +9522 , 12865, 12868, 12945, 12942, 10910, 10899, 10911, 10912 +9523 , 10683, 12870, 12868, 12945, 10687, 12872, 12871, 12947 +9524 , 12868, 12870, 10683, 12945, 10899, 10902, 10772, 10911 +9525 , 10668, 10665, 12870, 10683, 10688, 12873, 12872, 10687 +9526 , 12870, 10665, 10668, 10683, 10902, 10669, 10689, 10772 +9527 , 12898, 12948, 12492, 12485, 12949, 12989, 12497, 12494 +9528 , 12492, 12948, 12898, 12485, 12414, 12990, 12950, 12401 +9529 , 10512, 12874, 10680, 10447, 10513, 12877, 12875, 10449 +9530 , 10680, 12874, 10512, 10447, 10770, 12878, 10694, 10691 +9531 , 10692, 12876, 12874, 10512, 10697, 12880, 12877, 10513 +9532 , 12874, 12876, 10692, 10512, 12878, 12881, 10773, 10694 +9533 , 10698, 12879, 12876, 10692, 10701, 12883, 12880, 10697 +9534 , 12876, 12879, 10698, 10692, 12881, 12884, 10963, 10773 +9535 , 12951, 12882, 12879, 10698, 10711, 12886, 12883, 10701 +9536 , 12879, 12882, 12951, 10698, 12884, 12887, 12953, 10963 +9537 , 12952, 12885, 12882, 12951, 12955, 12889, 12886, 10711 +9538 , 12882, 12885, 12952, 12951, 12887, 12890, 12956, 12953 +9539 , 12954, 12888, 12885, 12952, 12958, 12892, 12889, 12955 +9540 , 12885, 12888, 12954, 12952, 12890, 12893, 12959, 12956 +9541 , 12957, 12891, 12888, 12954, 12961, 12895, 12892, 12958 +9542 , 12888, 12891, 12957, 12954, 12893, 12896, 12962, 12959 +9543 , 12960, 12894, 12891, 12957, 12964, 12902, 12895, 12961 +9544 , 12891, 12894, 12960, 12957, 12896, 12903, 12965, 12962 +9545 , 12963, 12901, 12894, 12960, 12967, 12905, 12902, 12964 +9546 , 12894, 12901, 12963, 12960, 12903, 12906, 12968, 12965 +9547 , 12966, 12904, 12901, 12963, 12970, 12908, 12905, 12967 +9548 , 12901, 12904, 12966, 12963, 12906, 12909, 12971, 12968 +9549 , 12969, 12907, 12904, 12966, 12973, 12911, 12908, 12970 +9550 , 12904, 12907, 12969, 12966, 12909, 12912, 12974, 12971 +9551 , 12972, 12910, 12907, 12969, 12976, 12914, 12911, 12973 +9552 , 12907, 12910, 12972, 12969, 12912, 12915, 12977, 12974 +9553 , 12975, 12913, 12910, 12972, 12979, 12916, 12914, 12976 +9554 , 12910, 12913, 12975, 12972, 12915, 12917, 12980, 12977 +9555 , 12978, 12918, 12913, 12975, 13043, 12981, 12916, 12979 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12936, 13002, 12999, 12938, 12941, 13007, 13004 +9573 , 13005, 12939, 12936, 13002, 13009, 12943, 12940, 13006 +9574 , 12936, 12939, 13005, 13002, 12941, 12944, 13010, 13007 +9575 , 13008, 12942, 12939, 13005, 13012, 12946, 12943, 13009 +9576 , 12939, 12942, 13008, 13005, 12944, 10912, 10941, 13010 +9577 , 13011, 12945, 12942, 13008, 13013, 12947, 12946, 13012 +9578 , 12942, 12945, 13011, 13008, 10912, 10911, 10932, 10941 +9579 , 12945, 10683, 10687, 12947, 13011, 10685, 10686, 13013 +9580 , 10773, 10963, 10698, 10692, 10703, 10891, 10699, 10693 +9581 , 10961, 12951, 10698, 10699, 10712, 10711, 10701, 10700 +9582 , 10698, 12951, 10961, 10699, 10963, 12953, 10948, 10891 +9583 , 13014, 12952, 12951, 10961, 13016, 12955, 10711, 10712 +9584 , 12951, 12952, 13014, 10961, 12953, 12956, 13017, 10948 +9585 , 13015, 12954, 12952, 13014, 13022, 12958, 12955, 13016 +9586 , 12952, 12954, 13015, 13014, 12956, 12959, 13023, 13017 +9587 , 12988, 13018, 12419, 12412, 13019, 13080, 12503, 12500 +9588 , 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13665, 13664, 13670, 14003, 13994, 13993, 14002 +10736 , 13672, 13666, 13665, 13671, 14005, 13995, 13994, 14003 +10737 , 13675, 13673, 13666, 13672, 14009, 14004, 13995, 14005 +10738 , 7485, 7488, 7628, 7621, 13673, 13675, 14009, 14004 +10739 , 13639, 13648, 12609, 12606, 14006, 14011, 12699, 12696 +10740 , 11472, 13669, 11482, 11474, 11339, 11360, 11366, 11361 +10741 , 11482, 13669, 11472, 11474, 11547, 14001, 14000, 11543 +10742 , 11488, 13670, 13669, 11482, 11596, 14002, 14001, 11547 +10743 , 13670, 13671, 14003, 14002, 11488, 11548, 14008, 11596 +10744 , 7589, 7631, 7077, 7074, 14007, 14173, 12305, 12301 +10745 , 14008, 11548, 13671, 14003, 14010, 13676, 13672, 14005 +10746 , 7488, 7493, 7499, 7632, 13675, 13678, 13676, 13672 +10747 , 7633, 7628, 7488, 7632, 14005, 14009, 13675, 13672 +10748 , 7632, 7499, 7634, 7633, 13672, 13676, 14010, 14005 +10749 , 7638, 7639, 7498, 7637, 11596, 14008, 11548, 11488 +10750 , 7639, 7634, 7499, 7498, 14008, 14010, 13676, 11548 +10751 , 13648, 13661, 12612, 12609, 14011, 14012, 12702, 12699 +10752 , 13661, 13667, 12615, 12612, 14012, 14013, 12705, 12702 +10753 , 7522, 7659, 7524, 7523, 13682, 13696, 13694, 13681 +10754 , 13667, 13674, 12618, 12615, 14013, 14026, 12708, 12705 +10755 , 7525, 7529, 7659, 7522, 13685, 13697, 13696, 13682 +10756 , 7533, 7660, 7535, 7534, 13687, 13704, 13702, 13686 +10757 , 7536, 7661, 7660, 7533, 13688, 13703, 13704, 13687 +10758 , 7537, 7540, 7661, 7536, 13689, 13707, 13703, 13688 +10759 , 7544, 7662, 7546, 7545, 13691, 13716, 13714, 13690 +10760 , 7547, 7663, 7662, 7544, 13692, 13715, 13716, 13691 +10761 , 7547, 7548, 7664, 7665, 13692, 13693, 14015, 14014 +10762 , 7665, 7666, 7663, 7547, 14014, 14031, 13715, 13692 +10763 , 7548, 7524, 7667, 7664, 13693, 13694, 14016, 14015 +10764 , 7524, 7659, 7668, 7667, 13694, 13696, 14017, 14016 +10765 , 7659, 7529, 7669, 7668, 13696, 13697, 14018, 14017 +10766 , 7529, 7549, 7670, 7669, 13697, 13699, 14019, 14018 +10767 , 7549, 7550, 7671, 7670, 13699, 13700, 14020, 14019 +10768 , 7550, 7551, 7672, 7671, 13700, 13701, 14021, 14020 +10769 , 7551, 7535, 7673, 7672, 13701, 13702, 14022, 14021 +10770 , 7535, 7660, 7674, 7673, 13702, 13704, 14023, 14022 +10771 , 7660, 7661, 7675, 7674, 13704, 13703, 14024, 14023 +10772 , 7661, 7540, 7676, 7675, 13703, 13707, 14025, 14024 +10773 , 13708, 8561, 7540, 13707, 14058, 7791, 7676, 14025 +10774 , 13674, 13677, 12621, 12618, 14026, 14055, 12711, 12708 +10775 , 13709, 8562, 8561, 13708, 14060, 7793, 7791, 14058 +10776 , 13710, 8563, 8562, 13709, 14363, 7797, 7793, 14060 +10777 , 13743, 8564, 8563, 13710, 14061, 7798, 7797, 14363 +10778 , 7555, 7677, 7557, 7556, 13712, 13749, 13747, 13711 +10779 , 7555, 7558, 7678, 7679, 13712, 13713, 14028, 14027 +10780 , 7679, 7680, 7677, 7555, 14027, 14063, 13749, 13712 +10781 , 7558, 7546, 7681, 7678, 13713, 13714, 14029, 14028 +10782 , 7546, 7662, 7682, 7681, 13714, 13716, 14030, 14029 +10783 , 7662, 7663, 7666, 7682, 13716, 13715, 14031, 14030 +10784 , 13723, 13720, 13718, 13721, 14036, 14032, 14033, 14034 +10785 , 13720, 13694, 13693, 13718, 14032, 14016, 14015, 14033 +10786 , 13721, 13718, 13715, 13719, 14034, 14033, 14031, 14069 +10787 , 13718, 13693, 13692, 13715, 14033, 14015, 14014, 14031 +10788 , 13725, 13695, 13720, 13723, 14038, 14035, 14032, 14036 +10789 , 13695, 13696, 13694, 13720, 14035, 14017, 14016, 14032 +10790 , 13727, 13724, 13695, 13725, 14040, 14037, 14035, 14038 +10791 , 13724, 13697, 13696, 13695, 14037, 14018, 14017, 14035 +10792 , 13729, 13726, 13724, 13727, 14042, 14039, 14037, 14040 +10793 , 13726, 13699, 13697, 13724, 14039, 14019, 14018, 14037 +10794 , 13731, 13728, 13726, 13729, 14044, 14041, 14039, 14042 +10795 , 14041, 13728, 13726, 14039, 14020, 13700, 13699, 14019 +10796 , 13733, 13730, 13728, 13731, 14046, 14043, 14041, 14044 +10797 , 14043, 13730, 13728, 14041, 14021, 13701, 13700, 14020 +10798 , 13734, 13732, 13730, 13733, 14048, 14045, 14043, 14046 +10799 , 14045, 13732, 13730, 14043, 14022, 13702, 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13727, 13760, 14076, 14042, 14040, 14075 +10832 , 13762, 13731, 13729, 13761, 14077, 14044, 14042, 14076 +10833 , 13763, 13733, 13731, 13762, 14078, 14046, 14044, 14077 +10834 , 13764, 13734, 13733, 13763, 14079, 14048, 14046, 14078 +10835 , 13765, 13735, 13734, 13764, 14081, 14050, 14048, 14079 +10836 , 13679, 13680, 12627, 12624, 14080, 14103, 12717, 12714 +10837 , 13766, 13737, 13735, 13765, 14082, 14052, 14050, 14081 +10838 , 13767, 13739, 13737, 13766, 14083, 14054, 14052, 14082 +10839 , 13768, 13741, 13739, 13767, 14084, 14057, 14054, 14083 +10840 , 13770, 13742, 13741, 13768, 14086, 14059, 14057, 14084 +10841 , 13772, 13769, 13742, 13770, 14088, 14085, 14059, 14086 +10842 , 13773, 13771, 13769, 13772, 14089, 14087, 14085, 14088 +10843 , 14087, 13771, 13769, 14085, 14090, 13744, 13743, 14061 +10844 , 13801, 13774, 13771, 13773, 14114, 14091, 14087, 14089 +10845 , 13774, 13745, 13744, 13771, 14091, 14387, 14090, 14087 +10846 , 13776, 8568, 8567, 13774, 14419, 7822, 7814, 14091 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14148, 13837, 13806 +10879 , 13809, 13781, 13780, 13808, 14121, 14095, 14094, 14120 +10880 , 13808, 13780, 13779, 13807, 14120, 14094, 14119, 14149 +10881 , 13810, 13782, 13781, 13809, 14122, 14096, 14095, 14121 +10882 , 13811, 13783, 13782, 13810, 14123, 14097, 14096, 14122 +10883 , 13812, 13784, 13783, 13811, 14125, 14098, 14097, 14123 +10884 , 13684, 13698, 12633, 12630, 14124, 14146, 12723, 12720 +10885 , 13815, 13785, 13784, 13812, 14126, 14099, 14098, 14125 +10886 , 13816, 13786, 13785, 13815, 14127, 14100, 14099, 14126 +10887 , 13817, 13787, 13786, 13816, 14128, 14101, 14100, 14127 +10888 , 13818, 13788, 13787, 13817, 14129, 14102, 14101, 14128 +10889 , 13819, 13789, 13788, 13818, 14130, 14104, 14102, 14129 +10890 , 13820, 13790, 13789, 13819, 14131, 14105, 14104, 14130 +10891 , 13821, 13791, 13790, 13820, 14132, 14106, 14105, 14131 +10892 , 13822, 13792, 13791, 13821, 14133, 14107, 14106, 14132 +10893 , 13823, 13795, 13792, 13822, 14134, 14108, 14107, 14133 +10894 , 13824, 13796, 13795, 13823, 14135, 14109, 14108, 14134 +10895 , 13825, 13797, 13796, 13824, 14136, 14110, 14109, 14135 +10896 , 13826, 13798, 13797, 13825, 14137, 14111, 14110, 14136 +10897 , 13827, 13799, 13798, 13826, 14138, 14112, 14111, 14137 +10898 , 13828, 13800, 13799, 13827, 14139, 14113, 14112, 14138 +10899 , 13829, 13802, 13800, 13828, 14140, 14115, 14113, 14139 +10900 , 13831, 13803, 13802, 13829, 14142, 14116, 14115, 14140 +10901 , 13832, 13830, 13803, 13831, 14143, 14141, 14116, 14142 +10902 , 13861, 13833, 13830, 13832, 14174, 14144, 14141, 14143 +10903 , 13833, 13805, 13804, 13830, 14144, 14446, 14117, 14141 +10904 , 7573, 7572, 7690, 7691, 13833, 13834, 14145, 14144 +10905 , 7574, 7575, 7692, 7572, 13835, 13866, 13863, 13834 +10906 , 7572, 7692, 7693, 7690, 13834, 13863, 14177, 14145 +10907 , 13698, 13722, 12636, 12633, 14146, 14167, 12726, 12723 +10908 , 7578, 7571, 7689, 7694, 13836, 13837, 14148, 14147 +10909 , 7694, 7695, 7579, 7578, 14147, 14178, 13868, 13836 +10910 , 13839, 13808, 13807, 13838, 14151, 14120, 14149, 14150 +10911 , 13838, 13807, 13837, 13869, 14150, 14149, 14148, 14179 +10912 , 13807, 13779, 13806, 13837, 14149, 14119, 14118, 14148 +10913 , 13840, 13809, 13808, 13839, 14152, 14121, 14120, 14151 +10914 , 13841, 13810, 13809, 13840, 14153, 14122, 14121, 14152 +10915 , 13842, 13811, 13810, 13841, 14154, 14123, 14122, 14153 +10916 , 13843, 13812, 13811, 13842, 14155, 14125, 14123, 14154 +10917 , 13844, 13815, 13812, 13843, 14156, 14126, 14125, 14155 +10918 , 13845, 13816, 13815, 13844, 14157, 14127, 14126, 14156 +10919 , 13846, 13817, 13816, 13845, 14158, 14128, 14127, 14157 +10920 , 13847, 13818, 13817, 13846, 14159, 14129, 14128, 14158 +10921 , 13848, 13819, 13818, 13847, 14160, 14130, 14129, 14159 +10922 , 13849, 13820, 13819, 13848, 14161, 14131, 14130, 14160 +10923 , 13850, 13821, 13820, 13849, 14162, 14132, 14131, 14161 +10924 , 13851, 13822, 13821, 13850, 14163, 14133, 14132, 14162 +10925 , 13852, 13823, 13822, 13851, 14164, 14134, 14133, 14163 +10926 , 13853, 13824, 13823, 13852, 14165, 14135, 14134, 14164 +10927 , 13854, 13825, 13824, 13853, 14166, 14136, 14135, 14165 +10928 , 13856, 13826, 13825, 13854, 14168, 14137, 14136, 14166 +10929 , 13722, 13751, 12639, 12636, 14167, 14189, 12730, 12726 +10930 , 13857, 13827, 13826, 13856, 14169, 14138, 14137, 14168 +10931 , 13858, 13828, 13827, 13857, 14170, 14139, 14138, 14169 +10932 , 13859, 13829, 13828, 13858, 14171, 14140, 14139, 14170 +10933 , 13860, 13831, 13829, 13859, 14172, 14142, 14140, 14171 +10934 , 13862, 13832, 13831, 13860, 14175, 14143, 14142, 14172 +10935 , 7631, 7696, 7081, 7077, 14173, 14322, 12307, 12305 +10936 , 13864, 13861, 13832, 13862, 14176, 14174, 14143, 14175 +10937 , 14176, 13864, 13861, 14174, 14204, 13865, 13863, 14177 +10938 , 13863, 13834, 13833, 13861, 14177, 14145, 14144, 14174 +10939 , 7575, 7581, 7697, 7692, 13866, 13891, 13865, 13863 +10940 , 7692, 7697, 7698, 7693, 13863, 13865, 14204, 14177 +10941 , 7579, 7699, 7583, 7582, 13868, 13893, 13892, 13867 +10942 , 7695, 7700, 7699, 7579, 14178, 14206, 13893, 13868 +10943 , 13871, 13838, 13869, 13870, 14181, 14150, 14179, 14180 +10944 , 13870, 13869, 13868, 13893, 14180, 14179, 14178, 14206 +10945 , 13869, 13837, 13836, 13868, 14179, 14148, 14147, 14178 +10946 , 13872, 13839, 13838, 13871, 14182, 14151, 14150, 14181 +10947 , 13873, 13840, 13839, 13872, 14183, 14152, 14151, 14182 +10948 , 13874, 13841, 13840, 13873, 14184, 14153, 14152, 14183 +10949 , 13875, 13842, 13841, 13874, 14185, 14154, 14153, 14184 +10950 , 13876, 13843, 13842, 13875, 14186, 14155, 14154, 14185 +10951 , 13877, 13844, 13843, 13876, 14187, 14156, 14155, 14186 +10952 , 13878, 13845, 13844, 13877, 14188, 14157, 14156, 14187 +10953 , 13880, 13846, 13845, 13878, 14190, 14158, 14157, 14188 +10954 , 13751, 13775, 12642, 12639, 14189, 14207, 12733, 12730 +10955 , 10145, 13847, 13846, 13880, 14191, 14159, 14158, 14190 +10956 , 10149, 13848, 13847, 10145, 14192, 14160, 14159, 14191 +10957 , 10151, 13849, 13848, 10149, 14193, 14161, 14160, 14192 +10958 , 10195, 13850, 13849, 10151, 10198, 14162, 14161, 14193 +10959 , 10196, 13851, 13850, 10195, 10200, 14163, 14162, 10198 +10960 , 10720, 13852, 13851, 10196, 14194, 14164, 14163, 10200 +10961 , 13881, 13853, 13852, 10720, 14195, 14165, 14164, 14194 +10962 , 13882, 13854, 13853, 13881, 14196, 14166, 14165, 14195 +10963 , 13883, 13856, 13854, 13882, 14197, 14168, 14166, 14196 +10964 , 13884, 13857, 13856, 13883, 14198, 14169, 14168, 14197 +10965 , 13885, 13858, 13857, 13884, 14199, 14170, 14169, 14198 +10966 , 13886, 13859, 13858, 13885, 14200, 14171, 14170, 14199 +10967 , 13887, 13860, 13859, 13886, 14201, 14172, 14171, 14200 +10968 , 13888, 13862, 13860, 13887, 14202, 14175, 14172, 14201 +10969 , 13889, 13864, 13862, 13888, 14203, 14176, 14175, 14202 +10970 , 13890, 13865, 13864, 13889, 14229, 14204, 14176, 14203 +10971 , 7697, 7581, 7701, 7698, 13865, 13891, 14205, 14204 +10972 , 7581, 7586, 7702, 7701, 13891, 13916, 14232, 14205 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14192, 14191, 14218 +10989 , 10150, 10151, 10149, 10148, 10201, 14193, 14192, 14219 +10990 , 10720, 13881, 10721, 10204, 10714, 10719, 10716, 10713 +10991 , 10721, 13881, 10720, 10204, 14220, 14195, 14194, 10206 +10992 , 13905, 13882, 13881, 10721, 14221, 14196, 14195, 14220 +10993 , 13906, 13883, 13882, 13905, 14222, 14197, 14196, 14221 +10994 , 13907, 13884, 13883, 13906, 14223, 14198, 14197, 14222 +10995 , 13910, 13885, 13884, 13907, 14225, 14199, 14198, 14223 +10996 , 13794, 13813, 12650, 12647, 14224, 14244, 12741, 12736 +10997 , 13911, 13886, 13885, 13910, 14226, 14200, 14199, 14225 +10998 , 13912, 13887, 13886, 13911, 14227, 14201, 14200, 14226 +10999 , 13913, 13888, 13887, 13912, 14228, 14202, 14201, 14227 +11000 , 13914, 13889, 13888, 13913, 14230, 14203, 14202, 14228 +11001 , 13915, 13890, 13889, 13914, 14231, 14229, 14203, 14230 +11002 , 14231, 13915, 13890, 14229, 14253, 13935, 13916, 14232 +11003 , 13916, 13891, 13865, 13890, 14232, 14205, 14204, 14229 +11004 , 7586, 7591, 7705, 7702, 13916, 13935, 14253, 14232 +11005 , 7703, 7706, 7592, 7588, 13894, 13918, 13937, 13917 +11006 , 7704, 7707, 7706, 7703, 14233, 14254, 13918, 13894 +11007 , 13920, 13898, 13896, 13919, 14235, 14209, 14208, 14234 +11008 , 13919, 13896, 13894, 13918, 14234, 14208, 14233, 14254 +11009 , 13921, 13899, 13898, 13920, 14236, 14210, 14209, 14235 +11010 , 13922, 13900, 13899, 13921, 14237, 14211, 14210, 14236 +11011 , 13923, 13901, 13900, 13922, 14238, 14212, 14211, 14237 +11012 , 13924, 13902, 13901, 13923, 14239, 14213, 14212, 14238 +11013 , 13925, 13903, 13902, 13924, 14240, 14214, 14213, 14239 +11014 , 10168, 13904, 13903, 13925, 14241, 14215, 14214, 14240 +11015 , 13904, 10153, 10152, 10168, 10119, 10108, 10122, 10120 +11016 , 10152, 10153, 13904, 10168, 14242, 14216, 14215, 14241 +11017 , 10155, 10154, 10153, 10152, 10210, 14217, 14216, 14242 +11018 , 10156, 10144, 10154, 10155, 10212, 14218, 14217, 10210 +11019 , 10158, 10148, 10144, 10156, 10213, 14219, 14218, 10212 +11020 , 13813, 14243, 12739, 12650, 14244, 14255, 12744, 12741 +11021 , 10727, 13905, 10721, 10722, 10731, 14221, 14220, 10725 +11022 , 13927, 13906, 13905, 10727, 14245, 14222, 14221, 10731 +11023 , 13928, 13907, 13906, 13927, 14246, 14223, 14222, 14245 +11024 , 13929, 13910, 13907, 13928, 14247, 14225, 14223, 14246 +11025 , 13930, 13911, 13910, 13929, 14248, 14226, 14225, 14247 +11026 , 13931, 13912, 13911, 13930, 14249, 14227, 14226, 14248 +11027 , 13932, 13913, 13912, 13931, 14250, 14228, 14227, 14249 +11028 , 13933, 13914, 13913, 13932, 14251, 14230, 14228, 14250 +11029 , 13934, 13915, 13914, 13933, 14252, 14231, 14230, 14251 +11030 , 14252, 13934, 13915, 14231, 14269, 13953, 13935, 14253 +11031 , 7591, 7594, 7708, 7705, 13935, 13953, 14269, 14253 +11032 , 7706, 7598, 7595, 7592, 13918, 13938, 13954, 13937 +11033 , 7709, 7599, 7598, 7706, 13919, 13939, 13938, 13918 +11034 , 7707, 7710, 7709, 7706, 14254, 14234, 13919, 13918 +11035 , 7711, 7601, 7599, 7709, 13920, 13940, 13939, 13919 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14249, 14248, 14264 +11052 , 7580, 7714, 7162, 7149, 14256, 14276, 12750, 12746 +11053 , 13950, 13932, 13931, 13949, 14266, 14250, 14249, 14265 +11054 , 13951, 13933, 13932, 13950, 14267, 14251, 14250, 14266 +11055 , 13952, 13934, 13933, 13951, 14268, 14252, 14251, 14267 +11056 , 14268, 13952, 13934, 14252, 14283, 13967, 13953, 14269 +11057 , 7594, 7597, 7715, 7708, 13953, 13967, 14283, 14269 +11058 , 7716, 7605, 7602, 7601, 13941, 13955, 13969, 13940 +11059 , 7713, 7717, 7716, 7601, 14270, 14257, 13941, 13940 +11060 , 7717, 7718, 7605, 7716, 14257, 14284, 13955, 13941 +11061 , 13957, 13943, 13942, 13956, 14272, 14259, 14258, 14271 +11062 , 13956, 13942, 13941, 13955, 14271, 14258, 14257, 14284 +11063 , 13958, 13944, 13943, 13957, 14273, 14260, 14259, 14272 +11064 , 13959, 13945, 13944, 13958, 14274, 14261, 14260, 14273 +11065 , 10181, 10169, 13945, 13959, 14275, 14262, 14261, 14274 +11066 , 10182, 10170, 10169, 10181, 10228, 10219, 14262, 14275 +11067 , 7714, 7719, 7165, 7162, 14276, 14691, 12841, 12750 +11068 , 13961, 13947, 10774, 10746, 14277, 14263, 10756, 10747 +11069 , 13962, 13948, 13947, 13961, 14278, 14264, 14263, 14277 +11070 , 13963, 13949, 13948, 13962, 14279, 14265, 14264, 14278 +11071 , 13964, 13950, 13949, 13963, 14280, 14266, 14265, 14279 +11072 , 13965, 13951, 13950, 13964, 14281, 14267, 14266, 14280 +11073 , 13966, 13952, 13951, 13965, 14282, 14268, 14267, 14281 +11074 , 13980, 13967, 13952, 13966, 14295, 14283, 14268, 14282 +11075 , 7597, 7604, 7720, 7715, 13967, 13980, 14295, 14283 +11076 , 7718, 7721, 7606, 7605, 14284, 14271, 13956, 13955 +11077 , 7721, 7722, 7609, 7606, 14271, 14272, 13957, 13956 +11078 , 7722, 7723, 7610, 7609, 14272, 14297, 13981, 13957 +11079 , 13958, 13959, 14274, 14273, 13971, 13972, 14286, 14285 +11080 , 13971, 13958, 13957, 13981, 14285, 14273, 14272, 14297 +11081 , 13959, 10181, 14275, 14274, 13972, 10227, 14288, 14286 +11082 , 7724, 7585, 7155, 7168, 14287, 14296, 12756, 12754 +11083 , 7168, 7171, 7725, 7724, 12754, 12845, 14726, 14287 +11084 , 13974, 13961, 10746, 10775, 14289, 14277, 10747, 10767 +11085 , 13975, 13962, 13961, 13974, 14290, 14278, 14277, 14289 +11086 , 13976, 13963, 13962, 13975, 14291, 14279, 14278, 14290 +11087 , 13977, 13964, 13963, 13976, 14292, 14280, 14279, 14291 +11088 , 13978, 13965, 13964, 13977, 14293, 14281, 14280, 14292 +11089 , 13979, 13966, 13965, 13978, 14294, 14282, 14281, 14293 +11090 , 13996, 13980, 13966, 13979, 14315, 14295, 14282, 14294 +11091 , 7604, 7611, 7726, 7720, 13980, 13996, 14315, 14295 +11092 , 7723, 7727, 7612, 7610, 14297, 14285, 13971, 13981 +11093 , 7727, 7728, 7613, 7612, 14285, 14286, 13972, 13971 +11094 , 7613, 7729, 7730, 7614, 13972, 14298, 14299, 10227 +11095 , 7728, 7731, 7729, 7613, 14286, 14318, 14298, 13972 +11096 , 7614, 7730, 7618, 7615, 10227, 14299, 13997, 10191 +11097 , 10193, 10194, 10231, 10230, 13998, 10612, 14301, 14300 +11098 , 10190, 10192, 10194, 10193, 13983, 10620, 10612, 13998 +11099 , 10191, 10193, 10230, 10229, 13997, 13998, 14300, 14623 +11100 , 10188, 10190, 10193, 10191, 13982, 13983, 13998, 13997 +11101 , 14301, 10612, 10194, 10231, 10615, 10611, 10258, 10613 +11102 , 13985, 10623, 10608, 10628, 14303, 10741, 10610, 14302 +11103 , 13986, 10742, 10623, 13985, 14304, 10743, 10741, 14303 +11104 , 13987, 10744, 10742, 13986, 14305, 10745, 10743, 14304 +11105 , 13988, 10748, 10744, 13987, 14306, 10749, 10745, 14305 +11106 , 13989, 10775, 10748, 13988, 14307, 10767, 10749, 14306 +11107 , 13990, 13974, 10775, 13989, 14308, 14289, 10767, 14307 +11108 , 13991, 13975, 13974, 13990, 14309, 14290, 14289, 14308 +11109 , 13992, 13976, 13975, 13991, 14310, 14291, 14290, 14309 +11110 , 13993, 13977, 13976, 13992, 14311, 14292, 14291, 14310 +11111 , 13994, 13978, 13977, 13993, 14314, 14293, 14292, 14311 +11112 , 14312, 13909, 12669, 12760, 14313, 14331, 12766, 12763 +11113 , 14312, 14313, 12763, 12760, 14296, 14748, 12849, 12756 +11114 , 13895, 14312, 12760, 12662, 13879, 14296, 12756, 12660 +11115 , 13995, 13979, 13978, 13994, 14316, 14294, 14293, 14314 +11116 , 14004, 13996, 13979, 13995, 14334, 14315, 14294, 14316 +11117 , 7611, 7621, 7732, 7726, 13996, 14004, 14334, 14315 +11118 , 7729, 7733, 7734, 7730, 14298, 14317, 14319, 14299 +11119 , 7731, 7735, 7733, 7729, 14318, 14335, 14317, 14298 +11120 , 7730, 7734, 7736, 7618, 14299, 14319, 14320, 13997 +11121 , 7618, 7736, 7737, 7622, 13997, 14320, 14321, 13998 +11122 , 7622, 7737, 7738, 7623, 13998, 14321, 14323, 10612 +11123 , 12307, 14322, 7696, 7081, 12386, 12525, 7739, 7083 +11124 , 7623, 7738, 7740, 7624, 10612, 14323, 14324, 10611 +11125 , 7624, 7740, 7741, 7625, 10611, 14324, 14325, 10614 +11126 , 7625, 7741, 7627, 7626, 10614, 14325, 11739, 10626 +11127 , 11526, 13985, 10628, 11524, 14327, 14303, 14302, 14326 +11128 , 10626, 10628, 14302, 10627, 11739, 11524, 14326, 14344 +11129 , 11528, 13986, 13985, 11526, 11579, 14304, 14303, 14327 +11130 , 11530, 13987, 13986, 11528, 11581, 14305, 14304, 11579 +11131 , 11532, 13988, 13987, 11530, 11583, 14306, 14305, 11581 +11132 , 11534, 13989, 13988, 11532, 11585, 14307, 14306, 11583 +11133 , 11536, 13990, 13989, 11534, 14328, 14308, 14307, 11585 +11134 , 14000, 13991, 13990, 11536, 14329, 14309, 14308, 14328 +11135 , 14001, 13992, 13991, 14000, 14330, 14310, 14309, 14329 +11136 , 14002, 13993, 13992, 14001, 14332, 14311, 14310, 14330 +11137 , 13909, 13926, 12672, 12669, 14331, 14345, 12769, 12766 +11138 , 14003, 13994, 13993, 14002, 14333, 14314, 14311, 14332 +11139 , 14333, 14003, 13994, 14314, 14346, 14005, 13995, 14316 +11140 , 7621, 7628, 7633, 7742, 14004, 14009, 14005, 13995 +11141 , 7743, 7732, 7621, 7742, 14316, 14334, 14004, 13995 +11142 , 7742, 7633, 7744, 7743, 13995, 14005, 14346, 14316 +11143 , 7735, 7745, 7734, 7733, 14335, 14337, 14319, 14317 +11144 , 7734, 7746, 7747, 7736, 14319, 14336, 14338, 14320 +11145 , 7745, 7748, 7746, 7734, 14337, 14348, 14336, 14319 +11146 , 7736, 7747, 7749, 7737, 14320, 14338, 14339, 14321 +11147 , 7750, 7751, 7738, 7737, 14340, 14341, 14323, 14321 +11148 , 7737, 7749, 7752, 7750, 14321, 14339, 14350, 14340 +11149 , 7751, 7753, 7740, 7738, 14341, 14342, 14324, 14323 +11150 , 7753, 7754, 7741, 7740, 14342, 14343, 14325, 14324 +11151 , 7754, 7755, 7627, 7741, 14343, 14344, 11739, 14325 +11152 , 7755, 7756, 7629, 7627, 14344, 14326, 11524, 11739 +11153 , 7756, 7757, 7630, 7629, 14326, 11627, 11537, 11524 +11154 , 11526, 11525, 11586, 14327, 11524, 11537, 11627, 14326 +11155 , 11536, 14000, 11543, 11535, 11466, 11472, 11474, 11473 +11156 , 11543, 14000, 11536, 11535, 11595, 14329, 14328, 11591 +11157 , 11547, 14001, 14000, 11543, 11598, 14330, 14329, 11595 +11158 , 13926, 13936, 12675, 12672, 14345, 14352, 12772, 12769 +11159 , 11596, 14002, 14001, 11547, 11642, 14332, 14330, 11598 +11160 , 14002, 14003, 14333, 14332, 11596, 14008, 14347, 11642 +11161 , 14010, 14005, 14003, 14008, 14351, 14346, 14333, 14347 +11162 , 7633, 7634, 7758, 7744, 14005, 14010, 14351, 14346 +11163 , 7748, 7759, 7747, 7746, 14348, 14349, 14338, 14336 +11164 , 7759, 7752, 7749, 7747, 14349, 14350, 14339, 14338 +11165 , 7761, 7762, 7639, 7638, 11642, 14347, 14008, 11596 +11166 , 7762, 7758, 7634, 7639, 14347, 14351, 14010, 14008 +11167 , 13936, 13946, 12678, 12675, 14352, 14353, 12775, 12772 +11168 , 13946, 13960, 12681, 12678, 14353, 14354, 12778, 12775 +11169 , 7664, 7778, 7666, 7665, 14015, 14033, 14031, 14014 +11170 , 7667, 7779, 7778, 7664, 14016, 14032, 14033, 14015 +11171 , 7668, 7780, 7779, 7667, 14017, 14035, 14032, 14016 +11172 , 7669, 7781, 7780, 7668, 14018, 14037, 14035, 14017 +11173 , 13960, 13968, 12684, 12681, 14354, 10897, 10900, 12778 +11174 , 7670, 7782, 7781, 7669, 14019, 14039, 14037, 14018 +11175 , 7670, 7671, 7783, 7784, 14019, 14020, 14356, 14355 +11176 , 7784, 7785, 7782, 7670, 14355, 14371, 14039, 14019 +11177 , 7671, 7672, 7786, 7783, 14020, 14021, 14357, 14356 +11178 , 7672, 7673, 7787, 7786, 14021, 14022, 14358, 14357 +11179 , 7673, 7674, 7788, 7787, 14022, 14023, 14359, 14358 +11180 , 7674, 7675, 7789, 7788, 14023, 14024, 14360, 14359 +11181 , 7675, 7676, 7790, 7789, 14024, 14025, 14361, 14360 +11182 , 7676, 7791, 7792, 7790, 14025, 14058, 14362, 14361 +11183 , 7793, 7794, 7795, 7791, 14060, 14056, 14053, 14058 +11184 , 7791, 7795, 7796, 7792, 14058, 14053, 14384, 14362 +11185 , 7797, 7798, 7794, 7793, 14363, 14061, 14056, 14060 +11186 , 7678, 7799, 7680, 7679, 14028, 14065, 14063, 14027 +11187 , 7681, 7800, 7799, 7678, 14029, 14064, 14065, 14028 +11188 , 7681, 7682, 7801, 7802, 14029, 14030, 14365, 14364 +11189 , 7802, 7803, 7800, 7681, 14364, 14391, 14064, 14029 +11190 , 7682, 7666, 7804, 7801, 14030, 14031, 14366, 14365 +11191 , 7666, 7778, 7805, 7804, 14031, 14033, 14367, 14366 +11192 , 7778, 7779, 7806, 7805, 14033, 14032, 14368, 14367 +11193 , 7779, 7780, 7807, 7806, 14032, 14035, 14369, 14368 +11194 , 7780, 7781, 7808, 7807, 14035, 14037, 14370, 14369 +11195 , 7781, 7782, 7785, 7808, 14037, 14039, 14371, 14370 +11196 , 13968, 13973, 12687, 12684, 10897, 10903, 10901, 10900 +11197 , 14046, 14043, 14041, 14044, 14376, 14372, 14373, 14374 +11198 , 14043, 14021, 14020, 14041, 14372, 14357, 14356, 14373 +11199 , 14044, 14041, 14039, 14042, 14374, 14373, 14371, 14403 +11200 , 14041, 14020, 14019, 14039, 14373, 14356, 14355, 14371 +11201 , 14048, 14045, 14043, 14046, 14378, 14375, 14372, 14376 +11202 , 14045, 14022, 14021, 14043, 14375, 14358, 14357, 14372 +11203 , 14050, 14047, 14045, 14048, 14380, 14377, 14375, 14378 +11204 , 14047, 14023, 14022, 14045, 14377, 14359, 14358, 14375 +11205 , 14052, 14049, 14047, 14050, 14382, 14379, 14377, 14380 +11206 , 14049, 14024, 14023, 14047, 14379, 14360, 14359, 14377 +11207 , 14054, 14051, 14049, 14052, 14383, 14381, 14379, 14382 +11208 , 14051, 14025, 14024, 14049, 14381, 14361, 14360, 14379 +11209 , 14057, 14053, 14051, 14054, 14411, 14384, 14381, 14383 +11210 , 14053, 14058, 14025, 14051, 14384, 14362, 14361, 14381 +11211 , 7795, 7794, 7809, 7796, 14053, 14056, 14385, 14384 +11212 , 7794, 7798, 7810, 7809, 14056, 14061, 14386, 14385 +11213 , 7798, 7811, 7812, 7810, 14061, 14090, 14388, 14386 +11214 , 7813, 7814, 7815, 7811, 14387, 14091, 14087, 14090 +11215 , 7811, 7815, 7816, 7812, 14090, 14087, 14418, 14388 +11216 , 7680, 7817, 7685, 7684, 14063, 14093, 14092, 14062 +11217 , 7680, 7799, 7818, 7819, 14063, 14065, 14390, 14389 +11218 , 7819, 7820, 7817, 7680, 14389, 14422, 14093, 14063 +11219 , 7799, 7800, 7803, 7818, 14065, 14064, 14391, 14390 +11220 , 14071, 14069, 14067, 14070, 14396, 14392, 14393, 14394 +11221 , 14069, 14031, 14030, 14067, 14392, 14366, 14365, 14393 +11222 , 14070, 14067, 14064, 14068, 14394, 14393, 14391, 14423 +11223 , 14067, 14030, 14029, 14064, 14393, 14365, 14364, 14391 +11224 , 14072, 14034, 14069, 14071, 14398, 14395, 14392, 14396 +11225 , 14034, 14033, 14031, 14069, 14395, 14367, 14366, 14392 +11226 , 14073, 14036, 14034, 14072, 14400, 14397, 14395, 14398 +11227 , 14036, 14032, 14033, 14034, 14397, 14368, 14367, 14395 +11228 , 14074, 14038, 14036, 14073, 14402, 14399, 14397, 14400 +11229 , 14038, 14035, 14032, 14036, 14399, 14369, 14368, 14397 +11230 , 13973, 13984, 12690, 12687, 10903, 10905, 10907, 10901 +11231 , 14075, 14040, 14038, 14074, 14404, 14401, 14399, 14402 +11232 , 14401, 14040, 14038, 14399, 14370, 14037, 14035, 14369 +11233 , 14076, 14042, 14040, 14075, 14405, 14403, 14401, 14404 +11234 , 14403, 14042, 14040, 14401, 14371, 14039, 14037, 14370 +11235 , 14077, 14044, 14042, 14076, 14406, 14374, 14403, 14405 +11236 , 14078, 14046, 14044, 14077, 14407, 14376, 14374, 14406 +11237 , 14079, 14048, 14046, 14078, 14408, 14378, 14376, 14407 +11238 , 14081, 14050, 14048, 14079, 14409, 14380, 14378, 14408 +11239 , 14082, 14052, 14050, 14081, 14410, 14382, 14380, 14409 +11240 , 14083, 14054, 14052, 14082, 14412, 14383, 14382, 14410 +11241 , 14084, 14057, 14054, 14083, 14414, 14411, 14383, 14412 +11242 , 14086, 14059, 14057, 14084, 14416, 14413, 14411, 14414 +11243 , 14413, 14059, 14057, 14411, 14385, 14056, 14053, 14384 +11244 , 14088, 14085, 14059, 14086, 14417, 14415, 14413, 14416 +11245 , 14085, 14061, 14056, 14059, 14415, 14386, 14385, 14413 +11246 , 14089, 14087, 14085, 14088, 14442, 14418, 14415, 14417 +11247 , 14087, 14090, 14061, 14085, 14418, 14388, 14386, 14415 +11248 , 7815, 7814, 7821, 7816, 14087, 14091, 14420, 14418 +11249 , 7822, 7823, 7824, 7814, 14419, 14117, 14114, 14091 +11250 , 7814, 7824, 7825, 7821, 14091, 14114, 14445, 14420 +11251 , 7685, 7817, 7820, 7826, 14092, 14093, 14422, 14421 +11252 , 7826, 7827, 7687, 7685, 14421, 14448, 14119, 14092 +11253 , 14096, 14068, 14066, 14095, 14426, 14423, 14424, 14425 +11254 , 14068, 14064, 14065, 14066, 14423, 14391, 14390, 14424 +11255 , 14095, 14066, 14093, 14094, 14425, 14424, 14422, 14449 +11256 , 14066, 14065, 14063, 14093, 14424, 14390, 14389, 14422 +11257 , 14097, 14070, 14068, 14096, 14427, 14394, 14423, 14426 +11258 , 14098, 14071, 14070, 14097, 14428, 14396, 14394, 14427 +11259 , 13984, 13999, 12693, 12690, 10905, 10965, 10908, 10907 +11260 , 14099, 14072, 14071, 14098, 14429, 14398, 14396, 14428 +11261 , 14100, 14073, 14072, 14099, 14430, 14400, 14398, 14429 +11262 , 14101, 14074, 14073, 14100, 14431, 14402, 14400, 14430 +11263 , 14102, 14075, 14074, 14101, 14432, 14404, 14402, 14431 +11264 , 14104, 14076, 14075, 14102, 14433, 14405, 14404, 14432 +11265 , 14105, 14077, 14076, 14104, 14434, 14406, 14405, 14433 +11266 , 14106, 14078, 14077, 14105, 14435, 14407, 14406, 14434 +11267 , 14107, 14079, 14078, 14106, 14436, 14408, 14407, 14435 +11268 , 14108, 14081, 14079, 14107, 14437, 14409, 14408, 14436 +11269 , 14109, 14082, 14081, 14108, 14438, 14410, 14409, 14437 +11270 , 14110, 14083, 14082, 14109, 14439, 14412, 14410, 14438 +11271 , 14111, 14084, 14083, 14110, 14440, 14414, 14412, 14439 +11272 , 14112, 14086, 14084, 14111, 14441, 14416, 14414, 14440 +11273 , 14113, 14088, 14086, 14112, 14443, 14417, 14416, 14441 +11274 , 14115, 14089, 14088, 14113, 14444, 14442, 14417, 14443 +11275 , 14116, 14114, 14089, 14115, 14470, 14445, 14442, 14444 +11276 , 14114, 14091, 14087, 14089, 14445, 14420, 14418, 14442 +11277 , 7824, 7823, 7828, 7825, 14114, 14117, 14447, 14445 +11278 , 7829, 7691, 7830, 7823, 14446, 14144, 14141, 14117 +11279 , 7823, 7830, 7831, 7828, 14117, 14141, 14473, 14447 +11280 , 7687, 7832, 7689, 7688, 14119, 14149, 14148, 14118 +11281 , 13999, 14006, 12696, 12693, 10965, 14469, 12789, 10908 +11282 , 7827, 7833, 7832, 7687, 14448, 14475, 14149, 14119 +11283 , 14121, 14095, 14094, 14120, 14451, 14425, 14449, 14450 +11284 , 14120, 14094, 14119, 14149, 14450, 14449, 14448, 14475 +11285 , 14094, 14093, 14092, 14119, 14449, 14422, 14421, 14448 +11286 , 14122, 14096, 14095, 14121, 14452, 14426, 14425, 14451 +11287 , 14123, 14097, 14096, 14122, 14453, 14427, 14426, 14452 +11288 , 14125, 14098, 14097, 14123, 14454, 14428, 14427, 14453 +11289 , 14126, 14099, 14098, 14125, 14455, 14429, 14428, 14454 +11290 , 14127, 14100, 14099, 14126, 14456, 14430, 14429, 14455 +11291 , 14128, 14101, 14100, 14127, 14457, 14431, 14430, 14456 +11292 , 14129, 14102, 14101, 14128, 14458, 14432, 14431, 14457 +11293 , 14130, 14104, 14102, 14129, 14459, 14433, 14432, 14458 +11294 , 14131, 14105, 14104, 14130, 14460, 14434, 14433, 14459 +11295 , 14132, 14106, 14105, 14131, 14461, 14435, 14434, 14460 +11296 , 14133, 14107, 14106, 14132, 14462, 14436, 14435, 14461 +11297 , 14134, 14108, 14107, 14133, 14463, 14437, 14436, 14462 +11298 , 14135, 14109, 14108, 14134, 14464, 14438, 14437, 14463 +11299 , 14136, 14110, 14109, 14135, 14465, 14439, 14438, 14464 +11300 , 14137, 14111, 14110, 14136, 14466, 14440, 14439, 14465 +11301 , 14138, 14112, 14111, 14137, 14467, 14441, 14440, 14466 +11302 , 14139, 14113, 14112, 14138, 14468, 14443, 14441, 14467 +11303 , 14140, 14115, 14113, 14139, 14471, 14444, 14443, 14468 +11304 , 14006, 14011, 12699, 12696, 14469, 14489, 12793, 12789 +11305 , 14142, 14116, 14115, 14140, 14472, 14470, 14444, 14471 +11306 , 14143, 14141, 14116, 14142, 14498, 14473, 14470, 14472 +11307 , 14141, 14117, 14114, 14116, 14473, 14447, 14445, 14470 +11308 , 7830, 7691, 7834, 7831, 14141, 14144, 14474, 14473 +11309 , 7690, 7693, 7835, 7691, 14145, 14177, 14174, 14144 +11310 , 7691, 7835, 7836, 7834, 14144, 14174, 14501, 14474 +11311 , 7689, 7837, 7695, 7694, 14148, 14179, 14178, 14147 +11312 , 7832, 7838, 7837, 7689, 14149, 14150, 14179, 14148 +11313 , 7833, 7839, 7838, 7832, 14475, 14503, 14150, 14149 +11314 , 14152, 14121, 14120, 14151, 14478, 14451, 14450, 14476 +11315 , 14151, 14120, 14149, 14150, 14476, 14450, 14475, 14503 +11316 , 7840, 7841, 7089, 7088, 14477, 14639, 12315, 12311 +11317 , 14477, 12311, 7088, 7840, 12950, 12401, 7090, 7842 +11318 , 14153, 14122, 14121, 14152, 14479, 14452, 14451, 14478 +11319 , 14154, 14123, 14122, 14153, 14480, 14453, 14452, 14479 +11320 , 14155, 14125, 14123, 14154, 14481, 14454, 14453, 14480 +11321 , 14156, 14126, 14125, 14155, 14482, 14455, 14454, 14481 +11322 , 14157, 14127, 14126, 14156, 14483, 14456, 14455, 14482 +11323 , 14158, 14128, 14127, 14157, 14484, 14457, 14456, 14483 +11324 , 14159, 14129, 14128, 14158, 14485, 14458, 14457, 14484 +11325 , 14160, 14130, 14129, 14159, 14486, 14459, 14458, 14485 +11326 , 14161, 14131, 14130, 14160, 14487, 14460, 14459, 14486 +11327 , 14162, 14132, 14131, 14161, 14488, 14461, 14460, 14487 +11328 , 14163, 14133, 14132, 14162, 14490, 14462, 14461, 14488 +11329 , 14011, 14012, 12702, 12699, 14489, 14509, 12796, 12793 +11330 , 14164, 14134, 14133, 14163, 14491, 14463, 14462, 14490 +11331 , 14165, 14135, 14134, 14164, 14492, 14464, 14463, 14491 +11332 , 14166, 14136, 14135, 14165, 14493, 14465, 14464, 14492 +11333 , 14168, 14137, 14136, 14166, 14494, 14466, 14465, 14493 +11334 , 14169, 14138, 14137, 14168, 14495, 14467, 14466, 14494 +11335 , 14170, 14139, 14138, 14169, 14496, 14468, 14467, 14495 +11336 , 14171, 14140, 14139, 14170, 14497, 14471, 14468, 14496 +11337 , 14172, 14142, 14140, 14171, 14499, 14472, 14471, 14497 +11338 , 14175, 14143, 14142, 14172, 14500, 14498, 14472, 14499 +11339 , 14176, 14174, 14143, 14175, 14526, 14501, 14498, 14500 +11340 , 14174, 14144, 14141, 14143, 14501, 14474, 14473, 14498 +11341 , 7835, 7693, 7843, 7836, 14174, 14177, 14502, 14501 +11342 , 7693, 7698, 7844, 7843, 14177, 14204, 14529, 14502 +11343 , 7837, 7845, 7700, 7695, 14179, 14180, 14206, 14178 +11344 , 7838, 7846, 7845, 7837, 14150, 14181, 14180, 14179 +11345 , 7839, 7847, 7846, 7838, 14503, 14531, 14181, 14150 +11346 , 14183, 14152, 14151, 14182, 14505, 14478, 14476, 14504 +11347 , 14182, 14151, 14150, 14181, 14504, 14476, 14503, 14531 +11348 , 14184, 14153, 14152, 14183, 14506, 14479, 14478, 14505 +11349 , 14185, 14154, 14153, 14184, 14507, 14480, 14479, 14506 +11350 , 14186, 14155, 14154, 14185, 14508, 14481, 14480, 14507 +11351 , 14187, 14156, 14155, 14186, 14510, 14482, 14481, 14508 +11352 , 14012, 14013, 12705, 12702, 14509, 14530, 12799, 12796 +11353 , 14188, 14157, 14156, 14187, 14511, 14483, 14482, 14510 +11354 , 14190, 14158, 14157, 14188, 14512, 14484, 14483, 14511 +11355 , 14191, 14159, 14158, 14190, 14513, 14485, 14484, 14512 +11356 , 14192, 14160, 14159, 14191, 14514, 14486, 14485, 14513 +11357 , 14193, 14161, 14160, 14192, 14515, 14487, 14486, 14514 +11358 , 10198, 14162, 14161, 14193, 14516, 14488, 14487, 14515 +11359 , 10200, 14163, 14162, 10198, 14517, 14490, 14488, 14516 +11360 , 14194, 14164, 14163, 10200, 14518, 14491, 14490, 14517 +11361 , 14195, 14165, 14164, 14194, 14519, 14492, 14491, 14518 +11362 , 14196, 14166, 14165, 14195, 14520, 14493, 14492, 14519 +11363 , 14197, 14168, 14166, 14196, 14521, 14494, 14493, 14520 +11364 , 14198, 14169, 14168, 14197, 14522, 14495, 14494, 14521 +11365 , 14199, 14170, 14169, 14198, 14523, 14496, 14495, 14522 +11366 , 14200, 14171, 14170, 14199, 14524, 14497, 14496, 14523 +11367 , 14201, 14172, 14171, 14200, 14525, 14499, 14497, 14524 +11368 , 14202, 14175, 14172, 14201, 14527, 14500, 14499, 14525 +11369 , 14203, 14176, 14175, 14202, 14528, 14526, 14500, 14527 +11370 , 14229, 14204, 14176, 14203, 14556, 14529, 14526, 14528 +11371 , 14204, 14177, 14174, 14176, 14529, 14502, 14501, 14526 +11372 , 7701, 7702, 7848, 7698, 14205, 14232, 14229, 14204 +11373 , 7698, 7848, 7849, 7844, 14204, 14229, 14556, 14529 +11374 , 14013, 14026, 12708, 12705, 14530, 14549, 12802, 12799 +11375 , 7845, 7850, 7704, 7700, 14180, 14208, 14233, 14206 +11376 , 7846, 7851, 7850, 7845, 14181, 14209, 14208, 14180 +11377 , 7847, 7852, 7851, 7846, 14531, 14558, 14209, 14181 +11378 , 14211, 14183, 14182, 14210, 14533, 14505, 14504, 14532 +11379 , 14210, 14182, 14181, 14209, 14532, 14504, 14531, 14558 +11380 , 14212, 14184, 14183, 14211, 14534, 14506, 14505, 14533 +11381 , 14213, 14185, 14184, 14212, 14535, 14507, 14506, 14534 +11382 , 14214, 14186, 14185, 14213, 14536, 14508, 14507, 14535 +11383 , 14215, 14187, 14186, 14214, 14537, 14510, 14508, 14536 +11384 , 14216, 14188, 14187, 14215, 14538, 14511, 14510, 14537 +11385 , 14217, 14190, 14188, 14216, 14539, 14512, 14511, 14538 +11386 , 14218, 14191, 14190, 14217, 14540, 14513, 14512, 14539 +11387 , 14219, 14192, 14191, 14218, 14541, 14514, 14513, 14540 +11388 , 10201, 14193, 14192, 14219, 14542, 14515, 14514, 14541 +11389 , 14193, 10198, 10197, 10201, 10151, 10195, 10161, 10150 +11390 , 10197, 10198, 14193, 10201, 14543, 14516, 14515, 14542 +11391 , 10199, 10200, 10198, 10197, 14544, 14517, 14516, 14543 +11392 , 10200, 14194, 10206, 10199, 10196, 10720, 10204, 10165 +11393 , 10206, 14194, 10200, 10199, 14545, 14518, 14517, 14544 +11394 , 14220, 14195, 14194, 10206, 14546, 14519, 14518, 14545 +11395 , 14221, 14196, 14195, 14220, 14547, 14520, 14519, 14546 +11396 , 14222, 14197, 14196, 14221, 14548, 14521, 14520, 14547 +11397 , 14223, 14198, 14197, 14222, 14550, 14522, 14521, 14548 +11398 , 14026, 14055, 12711, 12708, 14549, 14567, 12805, 12802 +11399 , 14225, 14199, 14198, 14223, 14551, 14523, 14522, 14550 +11400 , 14226, 14200, 14199, 14225, 14552, 14524, 14523, 14551 +11401 , 14227, 14201, 14200, 14226, 14553, 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14861, 14860, 14884, 15149, 15129, 15128, 15148 +12214 , 14886, 14862, 14861, 14885, 15150, 15130, 15129, 15149 +12215 , 14887, 14863, 14862, 14886, 15151, 15131, 15130, 15150 +12216 , 14888, 14864, 14863, 14887, 15152, 15132, 15131, 15151 +12217 , 14889, 14865, 14864, 14888, 15153, 15133, 15132, 15152 +12218 , 14890, 14866, 14865, 14889, 15154, 15134, 15133, 15153 +12219 , 14891, 14867, 14866, 14890, 15155, 15135, 15134, 15154 +12220 , 14892, 14868, 14867, 14891, 15156, 15137, 15135, 15155 +12221 , 14893, 14870, 14868, 14892, 15157, 15138, 15137, 15156 +12222 , 14913, 14872, 14870, 14893, 15177, 15158, 15138, 15157 +12223 , 7998, 7999, 8143, 8136, 14872, 14913, 15177, 15158 +12224 , 12832, 14687, 14689, 12837, 12912, 15159, 15178, 12915 +12225 , 8140, 8144, 8006, 8005, 14877, 14896, 14914, 14876 +12226 , 8142, 8145, 8144, 8140, 15160, 15179, 14896, 14877 +12227 , 14898, 14879, 14878, 14897, 15162, 15143, 15141, 15161 +12228 , 14897, 14878, 14877, 14896, 15161, 15141, 15160, 15179 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14932, 15195, 15177 +12245 , 8144, 8147, 8009, 8006, 14896, 14915, 14933, 14914 +12246 , 12837, 14689, 14690, 12839, 12915, 15178, 15198, 12917 +12247 , 8145, 8148, 8147, 8144, 15179, 15197, 14915, 14896 +12248 , 14917, 14898, 14897, 14916, 15181, 15162, 15161, 15180 +12249 , 14916, 14897, 14896, 14915, 15180, 15161, 15179, 15197 +12250 , 14918, 14899, 14898, 14917, 15182, 15163, 15162, 15181 +12251 , 14919, 14900, 14899, 14918, 15183, 15164, 15163, 15182 +12252 , 14920, 14901, 14900, 14919, 15184, 15165, 15164, 15183 +12253 , 14921, 14902, 14901, 14920, 15185, 15166, 15165, 15184 +12254 , 14922, 14903, 14902, 14921, 15186, 15167, 15166, 15185 +12255 , 14923, 14904, 14903, 14922, 15187, 15168, 15167, 15186 +12256 , 14924, 14905, 14904, 14923, 15188, 15169, 15168, 15187 +12257 , 14925, 14906, 14905, 14924, 15189, 15170, 15169, 15188 +12258 , 14926, 14907, 14906, 14925, 15190, 15171, 15170, 15189 +12259 , 14927, 14908, 14907, 14926, 15191, 15172, 15171, 15190 +12260 , 14928, 14909, 14908, 14927, 15192, 15173, 15172, 15191 +12261 , 14929, 14910, 14909, 14928, 15193, 15174, 15173, 15192 +12262 , 14930, 14911, 14910, 14929, 15194, 15175, 15174, 15193 +12263 , 14931, 14912, 14911, 14930, 15196, 15176, 15175, 15194 +12264 , 14951, 14932, 14912, 14931, 15215, 15195, 15176, 15196 +12265 , 8008, 8011, 8149, 8146, 14932, 14951, 15215, 15195 +12266 , 8147, 8150, 8012, 8009, 14915, 14934, 14952, 14933 +12267 , 8148, 8151, 8150, 8147, 15197, 15216, 14934, 14915 +12268 , 12917, 15198, 14690, 12839, 12982, 15494, 15199, 12920 +12269 , 14936, 14917, 14916, 14935, 15201, 15181, 15180, 15200 +12270 , 14935, 14916, 14915, 14934, 15200, 15180, 15197, 15216 +12271 , 14937, 14918, 14917, 14936, 15202, 15182, 15181, 15201 +12272 , 14938, 14919, 14918, 14937, 15203, 15183, 15182, 15202 +12273 , 14939, 14920, 14919, 14938, 15204, 15184, 15183, 15203 +12274 , 14940, 14921, 14920, 14939, 15205, 15185, 15184, 15204 +12275 , 14941, 14922, 14921, 14940, 15206, 15186, 15185, 15205 +12276 , 14942, 14923, 14922, 14941, 15207, 15187, 15186, 15206 +12277 , 14943, 14924, 14923, 14942, 15208, 15188, 15187, 15207 +12278 , 14944, 14925, 14924, 14943, 15209, 15189, 15188, 15208 +12279 , 14945, 14926, 14925, 14944, 15210, 15190, 15189, 15209 +12280 , 14946, 14927, 14926, 14945, 15211, 15191, 15190, 15210 +12281 , 14947, 14928, 14927, 14946, 15212, 15192, 15191, 15211 +12282 , 14948, 14929, 14928, 14947, 15213, 15193, 15192, 15212 +12283 , 14949, 14930, 14929, 14948, 15214, 15194, 15193, 15213 +12284 , 14950, 14931, 14930, 14949, 15232, 15196, 15194, 15214 +12285 , 8011, 8014, 8152, 8153, 14951, 14971, 14950, 14931 +12286 , 8154, 8149, 8011, 8153, 15196, 15215, 14951, 14931 +12287 , 8153, 8152, 8155, 8154, 14931, 14950, 15232, 15196 +12288 , 8150, 8156, 8015, 8012, 14934, 14953, 14972, 14952 +12289 , 8151, 8157, 8156, 8150, 15216, 15233, 14953, 14934 +12290 , 14955, 14936, 14935, 14954, 15218, 15201, 15200, 15217 +12291 , 14954, 14935, 14934, 14953, 15217, 15200, 15216, 15233 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14980, 14970, 14950 +12308 , 8152, 8159, 8160, 8155, 14950, 14970, 15244, 15232 +12309 , 8156, 8021, 8017, 8015, 14953, 14973, 14982, 14972 +12310 , 8161, 8022, 8021, 8156, 14954, 14974, 14973, 14953 +12311 , 8157, 8162, 8161, 8156, 15233, 15217, 14954, 14953 +12312 , 8162, 8163, 8022, 8161, 15217, 15246, 14974, 14954 +12313 , 14976, 14956, 14955, 14975, 15236, 15219, 15218, 15234 +12314 , 14975, 14955, 14954, 14974, 15234, 15218, 15217, 15246 +12315 , 8158, 8164, 7187, 7185, 15235, 15497, 12985, 12923 +12316 , 14985, 14957, 14956, 14976, 15237, 15220, 15219, 15236 +12317 , 14653, 14654, 14958, 14957, 14683, 14977, 14986, 14985 +12318 , 14986, 14958, 14957, 14985, 15238, 15221, 15220, 15237 +12319 , 14654, 14655, 14959, 14958, 14977, 14978, 14987, 14986 +12320 , 14987, 14959, 14958, 14986, 15239, 15222, 15221, 15238 +12321 , 14959, 14960, 15223, 15222, 14987, 14988, 15240, 15239 +12322 , 14655, 14656, 14960, 14959, 14978, 11668, 14988, 14987 +12323 , 14960, 14961, 15224, 15223, 14988, 11702, 15241, 15240 +12324 , 14961, 14963, 15225, 15224, 11702, 11670, 11718, 15241 +12325 , 11672, 14964, 14963, 11670, 11704, 15226, 15225, 11718 +12326 , 11674, 14965, 14964, 11672, 11706, 15227, 15226, 11704 +12327 , 11676, 14966, 14965, 11674, 11719, 15228, 15227, 11706 +12328 , 14966, 14967, 15229, 15228, 11676, 11678, 15242, 11719 +12329 , 14967, 14968, 15230, 15229, 11678, 11707, 15243, 15242 +12330 , 14979, 14969, 14968, 11707, 15245, 15231, 15230, 15243 +12331 , 14981, 14970, 14969, 14979, 15249, 15244, 15231, 15245 +12332 , 8016, 8020, 8039, 8159, 14980, 14989, 14981, 14970 +12333 , 8159, 8039, 8165, 8160, 14970, 14981, 15249, 15244 +12334 , 8166, 8040, 8023, 8022, 14975, 14991, 14990, 14974 +12335 , 8163, 8167, 8166, 8022, 15246, 15234, 14975, 14974 +12336 , 8167, 8168, 8040, 8166, 15234, 15250, 14991, 14975 +12337 , 14681, 14682, 14976, 14975, 14686, 14983, 14992, 14991 +12338 , 14682, 14683, 14985, 14976, 14983, 14984, 14993, 14992 +12339 , 14993, 14985, 14976, 14992, 15251, 15237, 15236, 15247 +12340 , 14992, 14976, 14975, 14991, 15247, 15236, 15234, 15250 +12341 , 8169, 7963, 7962, 7180, 15248, 15252, 12850, 12926 +12342 , 15248, 12926, 7180, 8169, 15499, 12991, 7192, 8170 +12343 , 8171, 8172, 8027, 8026, 15237, 15238, 14986, 14985 +12344 , 8026, 8028, 8173, 8171, 14985, 14993, 15251, 15237 +12345 , 8172, 8174, 8029, 8027, 15238, 15239, 14987, 14986 +12346 , 8174, 8175, 8030, 8029, 15239, 15240, 14988, 14987 +12347 , 8175, 8176, 8032, 8030, 15240, 15241, 11702, 14988 +12348 , 8176, 8179, 8177, 8032, 15241, 11718, 11670, 11702 +12349 , 8185, 8186, 8181, 8184, 11719, 15242, 11678, 11676 +12350 , 8186, 8188, 8036, 8181, 15242, 15243, 11707, 11678 +12351 , 8188, 8189, 8037, 8036, 15243, 15245, 14979, 11707 +12352 , 8189, 8165, 8039, 8037, 15245, 15249, 14981, 14979 +12353 , 8168, 8190, 8041, 8040, 15250, 15247, 14992, 14991 +12354 , 8190, 8173, 8028, 8041, 15247, 15251, 14993, 14992 +12355 , 15253, 15100, 12340, 12333, 15400, 15254, 12267, 12270 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8096, 15012, 15038, 15036, 15011 +12373 , 8077, 8204, 8219, 8220, 15012, 15014, 15260, 15259 +12374 , 8220, 8221, 8218, 8077, 15259, 15269, 15038, 15012 +12375 , 8204, 8205, 8222, 8219, 15014, 15013, 15262, 15260 +12376 , 12858, 14785, 14804, 12861, 12934, 15261, 15282, 12938 +12377 , 8205, 8206, 8209, 8222, 15013, 15016, 15263, 15262 +12378 , 15021, 15018, 15016, 15019, 15264, 15265, 15263, 15273 +12379 , 15023, 15020, 15018, 15021, 15276, 15266, 15265, 15264 +12380 , 15018, 15002, 15000, 15016, 15265, 15257, 15256, 15263 +12381 , 15020, 15003, 15002, 15018, 15266, 15258, 15257, 15265 +12382 , 8212, 8211, 8223, 8213, 15020, 15022, 15267, 15266 +12383 , 8211, 8214, 8224, 8223, 15022, 15024, 15268, 15267 +12384 , 8088, 8225, 8226, 8214, 15028, 15047, 15027, 15024 +12385 , 8214, 8226, 8227, 8224, 15024, 15027, 15281, 15268 +12386 , 8097, 8228, 8225, 8088, 15029, 15050, 15047, 15028 +12387 , 8099, 8103, 8228, 8097, 15031, 15053, 15050, 15029 +12388 , 8215, 8229, 8107, 8094, 15034, 15035, 15055, 15032 +12389 , 8216, 8230, 8229, 8215, 15033, 15037, 15035, 15034 +12390 , 8217, 8231, 8230, 8216, 15036, 15039, 15037, 15033 +12391 , 8218, 8232, 8231, 8217, 15038, 15040, 15039, 15036 +12392 , 8221, 8233, 8232, 8218, 15269, 15284, 15040, 15038 +12393 , 15042, 15017, 15015, 15041, 15274, 15270, 15271, 15272 +12394 , 15017, 15013, 15014, 15015, 15270, 15262, 15260, 15271 +12395 , 15041, 15015, 15038, 15040, 15272, 15271, 15269, 15284 +12396 , 15015, 15014, 15012, 15038, 15271, 15260, 15259, 15269 +12397 , 15043, 15019, 15017, 15042, 15275, 15273, 15270, 15274 +12398 , 15019, 15016, 15013, 15017, 15273, 15263, 15262, 15270 +12399 , 15044, 15021, 15019, 15043, 15277, 15264, 15273, 15275 +12400 , 15045, 15023, 15021, 15044, 15279, 15276, 15264, 15277 +12401 , 15046, 15025, 15023, 15045, 15280, 15278, 15276, 15279 +12402 , 15025, 15022, 15020, 15023, 15278, 15267, 15266, 15276 +12403 , 15048, 15027, 15025, 15046, 15290, 15281, 15278, 15280 +12404 , 15027, 15024, 15022, 15025, 15281, 15268, 15267, 15278 +12405 , 12861, 14804, 14823, 12864, 12938, 15282, 15296, 12941 +12406 , 8226, 8225, 8234, 8227, 15027, 15047, 15283, 15281 +12407 , 8228, 8235, 8236, 8225, 15050, 15052, 15051, 15047 +12408 , 8225, 8236, 8237, 8234, 15047, 15051, 15293, 15283 +12409 , 8103, 8238, 8235, 8228, 15053, 15069, 15052, 15050 +12410 , 8108, 8110, 8238, 8103, 15054, 15072, 15069, 15053 +12411 , 8229, 8239, 8114, 8107, 15035, 15056, 15074, 15055 +12412 , 8230, 8240, 8239, 8229, 15037, 15057, 15056, 15035 +12413 , 8231, 8241, 8240, 8230, 15039, 15058, 15057, 15037 +12414 , 8232, 8242, 8241, 8231, 15040, 15059, 15058, 15039 +12415 , 8233, 8243, 8242, 8232, 15284, 15297, 15059, 15040 +12416 , 15061, 15042, 15041, 15060, 15286, 15274, 15272, 15285 +12417 , 15060, 15041, 15040, 15059, 15285, 15272, 15284, 15297 +12418 , 15062, 15043, 15042, 15061, 15287, 15275, 15274, 15286 +12419 , 15063, 15044, 15043, 15062, 15288, 15277, 15275, 15287 +12420 , 15064, 15045, 15044, 15063, 15289, 15279, 15277, 15288 +12421 , 15065, 15046, 15045, 15064, 15291, 15280, 15279, 15289 +12422 , 15066, 15048, 15046, 15065, 15292, 15290, 15280, 15291 +12423 , 15068, 15051, 15048, 15066, 15304, 15293, 15290, 15292 +12424 , 15051, 15047, 15027, 15048, 15293, 15283, 15281, 15290 +12425 , 8236, 8235, 8244, 8237, 15051, 15052, 15294, 15293 +12426 , 8235, 8238, 8245, 8244, 15052, 15069, 15295, 15294 +12427 , 8110, 8117, 8246, 8238, 15072, 15090, 15071, 15069 +12428 , 8238, 8246, 8247, 8245, 15069, 15071, 15309, 15295 +12429 , 12864, 14823, 14845, 12867, 12941, 15296, 15311, 12944 +12430 , 8114, 8248, 8122, 8121, 15074, 15094, 15093, 15073 +12431 , 8239, 8249, 8248, 8114, 15056, 15075, 15094, 15074 +12432 , 8240, 8250, 8249, 8239, 15057, 15076, 15075, 15056 +12433 , 8241, 8251, 8250, 8240, 15058, 15077, 15076, 15057 +12434 , 8242, 8252, 8251, 8241, 15059, 15078, 15077, 15058 +12435 , 8243, 8253, 8252, 8242, 15297, 15314, 15078, 15059 +12436 , 15080, 15061, 15060, 15079, 15299, 15286, 15285, 15298 +12437 , 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8392, 15343, 15357, 15356, 15341 +12728 , 8394, 8287, 8407, 8391, 15344, 15359, 15357, 15343 +12729 , 8271, 8279, 8287, 8394, 15358, 15372, 15359, 15344 +12730 , 8395, 8294, 8283, 8277, 15347, 15361, 15373, 15360 +12731 , 8396, 8408, 8294, 8395, 15348, 15362, 15361, 15347 +12732 , 8397, 8409, 8408, 8396, 15349, 15363, 15362, 15348 +12733 , 8398, 8410, 8409, 8397, 15350, 15364, 15363, 15349 +12734 , 8398, 8399, 8411, 8412, 15350, 15351, 15456, 15455 +12735 , 8412, 8413, 8410, 8398, 15455, 15463, 15364, 15350 +12736 , 8399, 8400, 8401, 8411, 15351, 15352, 15457, 15456 +12737 , 15368, 15354, 15353, 15367, 15459, 15453, 15451, 15458 +12738 , 15367, 15353, 15352, 15366, 15458, 15451, 15457, 15464 +12739 , 15369, 15355, 15354, 15368, 15469, 15460, 15453, 15459 +12740 , 8403, 8402, 8414, 8406, 15355, 15356, 15461, 15460 +12741 , 8407, 8415, 8416, 8402, 15357, 15371, 15370, 15356 +12742 , 8402, 8416, 8417, 8414, 15356, 15370, 15471, 15461 +12743 , 8287, 8288, 8415, 8407, 15359, 15384, 15371, 15357 +12744 , 15049, 15067, 12893, 12890, 15462, 15477, 12959, 12956 +12745 , 8408, 8418, 8295, 8294, 15362, 15374, 15385, 15361 +12746 , 8409, 8419, 8418, 8408, 15363, 15375, 15374, 15362 +12747 , 8410, 8420, 8419, 8409, 15364, 15376, 15375, 15363 +12748 , 8413, 8421, 8420, 8410, 15463, 15473, 15376, 15364 +12749 , 15378, 15366, 15365, 15377, 15467, 15464, 15465, 15466 +12750 , 15366, 15352, 15351, 15365, 15464, 15457, 15456, 15465 +12751 , 15377, 15365, 15364, 15376, 15466, 15465, 15463, 15473 +12752 , 15365, 15351, 15350, 15364, 15465, 15456, 15455, 15463 +12753 , 15379, 15367, 15366, 15378, 15468, 15458, 15464, 15467 +12754 , 15380, 15368, 15367, 15379, 15470, 15459, 15458, 15468 +12755 , 15381, 15369, 15368, 15380, 15472, 15469, 15459, 15470 +12756 , 15370, 15356, 15355, 15369, 15471, 15461, 15460, 15469 +12757 , 15382, 15370, 15369, 15381, 15478, 15471, 15469, 15472 +12758 , 8415, 8422, 8423, 8416, 15371, 15383, 15382, 15370 +12759 , 8416, 8423, 8424, 8417, 15370, 15382, 15478, 15471 +12760 , 8288, 8297, 8422, 8415, 15384, 15396, 15383, 15371 +12761 , 8418, 8425, 8302, 8295, 15374, 15386, 15397, 15385 +12762 , 8419, 8426, 8425, 8418, 15375, 15387, 15386, 15374 +12763 , 8420, 8427, 8426, 8419, 15376, 15388, 15387, 15375 +12764 , 8421, 8428, 8427, 8420, 15473, 15479, 15388, 15376 +12765 , 15390, 15378, 15377, 15389, 15475, 15467, 15466, 15474 +12766 , 15389, 15377, 15376, 15388, 15474, 15466, 15473, 15479 +12767 , 15391, 15379, 15378, 15390, 15476, 15468, 15467, 15475 +12768 , 15392, 15380, 15379, 15391, 15480, 15470, 15468, 15476 +12769 , 15067, 15084, 12896, 12893, 15477, 15481, 12962, 12959 +12770 , 8429, 8430, 8431, 8432, 15381, 15393, 15392, 15380 +12771 , 8433, 8434, 8429, 8432, 15470, 15472, 15381, 15380 +12772 , 8432, 8431, 8435, 8433, 15380, 15392, 15480, 15470 +12773 , 8423, 8436, 8430, 8429, 15382, 15394, 15393, 15381 +12774 , 8434, 8424, 8423, 8429, 15472, 15478, 15382, 15381 +12775 , 8422, 8437, 8436, 8423, 15383, 15395, 15394, 15382 +12776 , 8297, 8304, 8437, 8422, 15396, 15409, 15395, 15383 +12777 , 8425, 8313, 8308, 8302, 15386, 15398, 15411, 15397 +12778 , 8426, 8315, 8313, 8425, 15387, 15401, 15398, 15386 +12779 , 8427, 8438, 8315, 8426, 15388, 15402, 15401, 15387 +12780 , 8439, 8440, 8438, 8427, 15389, 15403, 15402, 15388 +12781 , 8428, 8441, 8439, 8427, 15479, 15474, 15389, 15388 +12782 , 8442, 8443, 8440, 8439, 15390, 15404, 15403, 15389 +12783 , 8441, 8444, 8442, 8439, 15474, 15475, 15390, 15389 +12784 , 8445, 8446, 8443, 8442, 15391, 15405, 15404, 15390 +12785 , 8444, 8447, 8445, 8442, 15475, 15476, 15391, 15390 +12786 , 8431, 8448, 8446, 8445, 15392, 15406, 15405, 15391 +12787 , 8447, 8435, 8431, 8445, 15476, 15480, 15392, 15391 +12788 , 8430, 8449, 8448, 8431, 15393, 15407, 15406, 15392 +12789 , 8436, 8450, 8449, 8430, 15394, 15408, 15407, 15393 +12790 , 8437, 8318, 8450, 8436, 15395, 15410, 15408, 15394 +12791 , 8304, 8310, 8318, 8437, 15409, 15419, 15410, 15395 +12792 , 8438, 8320, 8316, 8315, 15402, 15412, 15420, 15401 +12793 , 8440, 8321, 8320, 8438, 15403, 15413, 15412, 15402 +12794 , 15084, 15105, 12903, 12896, 15481, 15484, 12965, 12962 +12795 , 8443, 8322, 8321, 8440, 15404, 15414, 15413, 15403 +12796 , 12334, 15399, 15482, 12273, 12343, 15483, 12261, 12262 +12797 , 12334, 15399, 15483, 12343, 12346, 13225, 13251, 12352 +12798 , 8446, 8325, 8322, 8443, 15405, 15415, 15414, 15404 +12799 , 8448, 8328, 8325, 8446, 15406, 15416, 15415, 15405 +12800 , 8449, 8329, 8328, 8448, 15407, 15417, 15416, 15406 +12801 , 8450, 8330, 8329, 8449, 15408, 15418, 15417, 15407 +12802 , 8318, 8319, 8330, 8450, 15410, 15421, 15418, 15408 +12803 , 12267, 15254, 7607, 7038, 12270, 15400, 8473, 7049 +12804 , 8352, 8451, 8354, 8353, 15423, 15430, 15428, 15422 +12805 , 8355, 8452, 8451, 8352, 15424, 15429, 15430, 15423 +12806 , 8356, 8359, 8452, 8355, 15425, 15433, 15429, 15424 +12807 , 15105, 15125, 12906, 12903, 15484, 15485, 12968, 12965 +12808 , 8363, 8453, 8365, 8364, 15427, 15437, 15435, 15426 +12809 , 8354, 8454, 8453, 8363, 15428, 15436, 15437, 15427 +12810 , 8451, 8455, 8454, 8354, 15430, 15431, 15436, 15428 +12811 , 8452, 8456, 8455, 8451, 15429, 15432, 15431, 15430 +12812 , 8359, 8457, 8456, 8452, 15433, 15441, 15432, 15429 +12813 , 8366, 8369, 8457, 8359, 15434, 15444, 15441, 15433 +12814 , 8453, 8386, 8375, 8365, 15437, 15438, 15445, 15435 +12815 , 8454, 8389, 8386, 8453, 15436, 15439, 15438, 15437 +12816 , 8455, 8458, 8389, 8454, 15431, 15440, 15439, 15436 +12817 , 8456, 8459, 8458, 8455, 15432, 15442, 15440, 15431 +12818 , 8457, 8460, 8459, 8456, 15441, 15443, 15442, 15432 +12819 , 8369, 8378, 8460, 8457, 15444, 15448, 15443, 15441 +12820 , 8458, 8461, 8390, 8389, 15440, 15446, 15450, 15439 +12821 , 8459, 8462, 8461, 8458, 15442, 15447, 15446, 15440 +12822 , 8460, 8405, 8462, 8459, 15443, 15449, 15447, 15442 +12823 , 15125, 15142, 12909, 12906, 15485, 15486, 12971, 12968 +12824 , 8378, 8393, 8405, 8460, 15448, 15454, 15449, 15443 +12825 , 8461, 8463, 8401, 8390, 15446, 15451, 15457, 15450 +12826 , 8462, 8464, 8463, 8461, 15447, 15453, 15451, 15446 +12827 , 8405, 8406, 8464, 8462, 15449, 15460, 15453, 15447 +12828 , 8411, 8465, 8413, 8412, 15456, 15465, 15463, 15455 +12829 , 8401, 8466, 8465, 8411, 15457, 15464, 15465, 15456 +12830 , 8463, 8467, 8466, 8401, 15451, 15458, 15464, 15457 +12831 , 8464, 8468, 8467, 8463, 15453, 15459, 15458, 15451 +12832 , 8406, 8469, 8468, 8464, 15460, 15469, 15459, 15453 +12833 , 8414, 8417, 8469, 8406, 15461, 15471, 15469, 15460 +12834 , 8465, 8470, 8421, 8413, 15465, 15466, 15473, 15463 +12835 , 8466, 8471, 8470, 8465, 15464, 15467, 15466, 15465 +12836 , 8467, 8472, 8471, 8466, 15458, 15468, 15467, 15464 +12837 , 8468, 8433, 8472, 8467, 15459, 15470, 15468, 15458 +12838 , 8469, 8434, 8433, 8468, 15469, 15472, 15470, 15459 +12839 , 8417, 8424, 8434, 8469, 15471, 15478, 15472, 15469 +12840 , 15142, 15159, 12912, 12909, 15486, 15487, 12974, 12971 +12841 , 8470, 8441, 8428, 8421, 15466, 15474, 15479, 15473 +12842 , 8471, 8444, 8441, 8470, 15467, 15475, 15474, 15466 +12843 , 8472, 8447, 8444, 8471, 15468, 15476, 15475, 15467 +12844 , 8433, 8435, 8447, 8472, 15470, 15480, 15476, 15468 +12845 , 15159, 15178, 12915, 12912, 15487, 15492, 12977, 12974 +12846 , 12273, 15482, 15400, 12270, 7045, 7044, 8473, 7049 +12847 , 12261, 12935, 12278, 12262, 15483, 15488, 12349, 12343 +12848 , 12935, 13285, 12282, 12278, 15488, 15489, 12356, 12349 +12849 , 13285, 13437, 12285, 12282, 15489, 15490, 12362, 12356 +12850 , 13437, 13613, 12288, 12285, 15490, 15491, 12276, 12362 +12851 , 13613, 13683, 12291, 12288, 15491, 12246, 12247, 12276 +12852 , 13683, 13897, 12298, 12291, 12246, 12295, 12253, 12247 +12853 , 13897, 14007, 12301, 12298, 12295, 12383, 12327, 12253 +12854 , 15178, 15198, 12917, 12915, 15492, 15495, 12980, 12977 +12855 , 14007, 14173, 12305, 12301, 12383, 12454, 12379, 12327 +12856 , 14173, 14322, 12307, 12305, 12454, 12525, 12386, 12379 +12857 , 12386, 12307, 12305, 12379, 12306, 12302, 12299, 12303 +12858 , 14477, 14639, 12315, 12311, 12950, 12990, 12414, 12401 +12859 , 12414, 12315, 12311, 12401, 12313, 12308, 12309, 12310 +12860 , 14639, 14776, 12318, 12315, 12990, 13020, 12409, 12414 +12861 , 14776, 14962, 12320, 12318, 13020, 13081, 12410, 12409 +12862 , 12599, 12525, 12386, 12390, 8486, 7739, 7083, 7102 +12863 , 15493, 12599, 12390, 12392, 7158, 8486, 7102, 7106 +12864 , 15198, 15494, 12982, 12917, 15495, 15498, 13044, 12980 +12865 , 12900, 15496, 12397, 12399, 8494, 7181, 7113, 7114 +12866 , 12950, 12900, 12399, 12401, 7842, 8494, 7114, 7090 +12867 , 12982, 15494, 15199, 12920, 12985, 15497, 15235, 12923 +12868 , 15494, 15497, 12985, 12982, 15498, 15501, 13050, 13044 +12869 , 12985, 12923, 12920, 12982, 12922, 12921, 12840, 12918 +12870 , 14287, 14296, 12756, 12754, 14726, 14748, 12849, 12845 +12871 , 12985, 15497, 8164, 7187, 13050, 15501, 8474, 7198 +12872 , 12926, 15248, 15252, 12850, 12991, 15499, 15500, 12998 +12873 , 12998, 12850, 12926, 12991, 12927, 12847, 12843, 12924 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13179, 15512, 15509, 13060, 13124, 15514, 15558, 13063 +12891 , 10252, 10929, 10928, 10925, 7229, 7230, 8490, 8484 +12892 , 10929, 10928, 15515, 13246, 10952, 10951, 15526, 13204 +12893 , 15515, 10928, 10929, 13246, 8491, 8490, 7230, 7231 +12894 , 10252, 10929, 10135, 10096, 10093, 10771, 10087, 10088 +12895 , 15500, 15255, 12931, 12998, 15505, 15529, 12997, 13058 +12896 , 12343, 15483, 15488, 12349, 12352, 13251, 13277, 12358 +12897 , 13233, 15510, 15516, 13269, 13173, 15517, 15528, 13231 +12898 , 15516, 15510, 13233, 13269, 8495, 8487, 7220, 7241 +12899 , 13182, 13235, 15513, 15518, 7244, 7224, 8489, 8496 +12900 , 15518, 13182, 13185, 15519, 15514, 13124, 13127, 15521 +12901 , 13185, 13182, 15518, 15519, 7247, 7244, 8496, 8497 +12902 , 15519, 13185, 13189, 15520, 15521, 13127, 13130, 15523 +12903 , 13189, 13185, 15519, 15520, 7250, 7247, 8497, 8498 +12904 , 15520, 13189, 13270, 15522, 15524, 13192, 13272, 15530 +12905 , 13270, 13189, 15520, 15522, 7255, 7250, 8498, 8499 +12906 , 13189, 15520, 15523, 13130, 13192, 15524, 15571, 13133 +12907 , 13272, 13192, 13189, 13270, 13237, 13187, 13184, 13236 +12908 , 13246, 15515, 15525, 13274, 13204, 15526, 15534, 13247 +12909 , 15525, 15515, 13246, 13274, 8500, 8491, 7231, 7261 +12910 , 15516, 15527, 13289, 13269, 15528, 15536, 13266, 13231 +12911 , 13289, 15527, 15516, 13269, 7272, 8503, 8495, 7241 +12912 , 15255, 15261, 12934, 12931, 15529, 15539, 13001, 12997 +12913 , 13272, 13270, 15522, 15530, 7273, 7255, 8499, 8504 +12914 , 15530, 13272, 13240, 15531, 15524, 13192, 13195, 15533 +12915 , 13240, 13272, 15530, 15531, 7276, 7273, 8504, 8505 +12916 , 15531, 13240, 13244, 15532, 15533, 13195, 13198, 15535 +12917 , 13244, 13240, 15531, 15532, 7279, 7276, 8505, 8506 +12918 , 15532, 13244, 13247, 15534, 15535, 13198, 13204, 15526 +12919 , 13247, 13244, 15532, 15534, 7282, 7279, 8506, 8507 +12920 , 13274, 13247, 15534, 15525, 7261, 7282, 8507, 8500 +12921 , 13266, 15536, 15527, 13289, 8511, 8512, 8503, 7272 +12922 , 15536, 15537, 13290, 13266, 15538, 15541, 13288, 13264 +12923 , 13290, 15537, 15536, 13266, 7305, 8513, 8512, 8511 +12924 , 15528, 15536, 13266, 13231, 15586, 15538, 13264, 13228 +12925 , 13266, 13289, 13305, 13290, 8511, 7272, 7295, 7305 +12926 , 15261, 15282, 12938, 12934, 15539, 15546, 13004, 13001 +12927 , 15537, 15540, 13312, 13290, 15541, 15543, 13303, 13288 +12928 , 13312, 15540, 15537, 13290, 7308, 8516, 8513, 7305 +12929 , 15540, 15542, 13318, 13312, 15543, 15544, 13313, 13303 +12930 , 13318, 15542, 15540, 13312, 7316, 8518, 8516, 7308 +12931 , 13313, 15544, 15542, 13318, 7324, 8520, 8518, 7316 +12932 , 15544, 15545, 13321, 13313, 11777, 11720, 11722, 11394 +12933 , 13321, 15545, 15544, 13313, 7327, 8521, 8520, 7324 +12934 , 15543, 15544, 13313, 13303, 11772, 11777, 11394, 11773 +12935 , 15282, 15296, 12941, 12938, 15546, 15547, 13007, 13004 +12936 , 11722, 11720, 15545, 13321, 7336, 8523, 8521, 7327 +12937 , 15296, 15311, 12944, 12941, 15547, 15548, 13010, 13007 +12938 , 15311, 10930, 10912, 12944, 15548, 10940, 10941, 13010 +12939 , 12349, 15488, 15489, 12356, 12358, 13277, 13296, 12364 +12940 , 10962, 15452, 12953, 10963, 10945, 10960, 10948, 10891 +12941 , 15452, 15462, 12956, 12953, 10960, 15549, 13017, 10948 +12942 , 15462, 15477, 12959, 12956, 15549, 15550, 13023, 13017 +12943 , 15477, 15481, 12962, 12959, 15550, 15551, 13026, 13023 +12944 , 12356, 15489, 15490, 12362, 12364, 13296, 13308, 12368 +12945 , 15481, 15484, 12965, 12962, 15551, 15552, 13029, 13026 +12946 , 15484, 15485, 12968, 12965, 15552, 15553, 13032, 13029 +12947 , 15485, 15486, 12971, 12968, 15553, 15554, 13035, 13032 +12948 , 15486, 15487, 12974, 12971, 15554, 15555, 13038, 13035 +12949 , 15487, 15492, 12977, 12974, 15555, 15556, 13041, 13038 +12950 , 15492, 15495, 12980, 12977, 15556, 15557, 13046, 13041 +12951 , 15495, 15498, 13044, 12980, 15557, 15507, 13049, 13046 +12952 , 12362, 15490, 15491, 12276, 12368, 13308, 12248, 12249 +12953 , 15505, 15529, 12997, 13058, 15509, 15558, 13063, 13060 +12954 , 15529, 15539, 13001, 12997, 15558, 15559, 13066, 13063 +12955 , 15539, 15546, 13004, 13001, 15559, 15560, 13069, 13066 +12956 , 15546, 15547, 13007, 13004, 15560, 15561, 13072, 13069 +12957 , 15547, 15548, 13010, 13007, 15561, 15562, 13075, 13072 +12958 , 15548, 10940, 10941, 13010, 15562, 10949, 10950, 13075 +12959 , 14350, 14349, 14679, 14680, 14681, 14671, 14685, 14686 +12960 , 14686, 14681, 14671, 14685, 14991, 14975, 14974, 14990 +12961 , 10960, 15549, 13017, 10948, 10953, 10959, 10956, 10894 +12962 , 15549, 15550, 13023, 13017, 10959, 15563, 13087, 10956 +12963 , 15550, 15551, 13026, 13023, 15563, 15564, 13090, 13087 +12964 , 15551, 15552, 13029, 13026, 15564, 15565, 13093, 13090 +12965 , 15552, 15553, 13032, 13029, 15565, 15566, 13096, 13093 +12966 , 15553, 15554, 13035, 13032, 15566, 15567, 13099, 13096 +12967 , 15554, 15555, 13038, 13035, 15567, 15568, 13102, 13099 +12968 , 15555, 15556, 13041, 13038, 15568, 15569, 13105, 13102 +12969 , 15556, 15557, 13046, 13041, 15569, 15570, 13108, 13105 +12970 , 15557, 15507, 13049, 13046, 15570, 15511, 13111, 13108 +12971 , 15558, 15559, 13066, 13063, 15514, 15521, 13127, 13124 +12972 , 15559, 15560, 13069, 13066, 15521, 15523, 13130, 13127 +12973 , 15560, 15561, 13072, 13069, 15523, 15571, 13133, 13130 +12974 , 15561, 15562, 13075, 13072, 15571, 15572, 13136, 13133 +12975 , 15562, 10949, 10950, 13075, 15572, 15573, 13139, 13136 +12976 , 13139, 15573, 10949, 10950, 10952, 10951, 10942, 10943 +12977 , 10959, 15563, 13087, 10956, 10958, 15574, 13149, 10957 +12978 , 15563, 15564, 13090, 13087, 15574, 15575, 13152, 13149 +12979 , 15564, 15565, 13093, 13090, 15575, 15576, 13155, 13152 +12980 , 15565, 15566, 13096, 13093, 15576, 15577, 13158, 13155 +12981 , 15566, 15567, 13099, 13096, 15577, 15578, 13161, 13158 +12982 , 15567, 15568, 13102, 13099, 15578, 15579, 13164, 13161 +12983 , 15568, 15569, 13105, 13102, 15579, 15580, 13167, 13164 +12984 , 15569, 15570, 13108, 13105, 15580, 15581, 13170, 13167 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11780, 15587, 13258, 11753 +13001 , 15584, 15585, 13222, 13219, 15587, 15588, 13261, 13258 +13002 , 15585, 15586, 13228, 13222, 15588, 15538, 13264, 13261 +13003 , 11780, 15587, 13258, 11753, 11759, 11763, 11762, 11338 +13004 , 15587, 15588, 13261, 13258, 11763, 15589, 13284, 11762 +13005 , 15588, 15538, 13264, 13261, 15589, 15541, 13288, 13284 +13006 , 11763, 15589, 13284, 11762, 11764, 11772, 11773, 11365 +13007 , 15589, 15541, 13288, 13284, 11772, 15543, 13303, 11773 +13008 , 11456, 11523, 10504, 10514, 11028, 11035, 10502, 10501 +13009 , 10685, 10087, 13076, 13011, 10702, 10771, 10943, 10932 +13010 , 12945, 10683, 10685, 13011, 10911, 10772, 10702, 10932 +13011 , 11018, 10599, 10488, 11007, 10621, 10602, 10491, 10497 +13012 , 10599, 10600, 11291, 11018, 11009, 11160, 11141, 11017 +13013 , 11160, 11279, 11282, 10600, 11141, 11283, 11284, 11291 +13014 , 11021, 11018, 11007, 11014, 11318, 10621, 10497, 10501 +13015 , 10954, 10955, 10896, 10895, 11134, 15590, 11160, 11009 +13016 , 10955, 10958, 10957, 10896, 15590, 11782, 11279, 11160 +13017 , 11134, 15590, 11160, 11009, 11138, 11143, 11141, 11017 +13018 , 15590, 11782, 11279, 11160, 11143, 11745, 11283, 11141 +13019 , 7013, 8613, 8614, 7014, 12239, 15591, 15607, 13970 +13020 , 8613, 7013, 7018, 8615, 15591, 12239, 14962, 15663 +13021 , 12240, 15592, 15593, 12241, 12244, 15594, 15599, 12294 +13022 , 15593, 15592, 12240, 12241, 15600, 15595, 12246, 12295 +13023 , 12240, 15592, 15594, 12244, 12248, 15596, 15609, 13306 +13024 , 12246, 15595, 15592, 12240, 15491, 15622, 15596, 12248 +13025 , 15598, 15597, 15592, 15593, 15667, 15601, 15595, 15600 +13026 , 15592, 15597, 15598, 15593, 15594, 15603, 15671, 15599 +13027 , 15595, 15601, 15597, 15592, 15622, 15708, 15602, 15596 +13028 , 15596, 15602, 15597, 15592, 15609, 15786, 15603, 15594 +13029 , 8626, 8627, 8628, 8629, 15605, 15604, 15606, 15611 +13030 , 8614, 8627, 8626, 8630, 15607, 15604, 15605, 15613 +13031 , 8627, 8614, 8631, 8628, 15604, 15607, 15665, 15606 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15626, 15629, 15634 +13049 , 8653, 8652, 8655, 8656, 15629, 15633, 15636, 15632 +13050 , 8654, 8653, 8656, 8657, 15634, 15629, 15632, 15637 +13051 , 8656, 8655, 8658, 8659, 15632, 15636, 15640, 15635 +13052 , 8657, 8656, 8659, 8660, 15637, 15632, 15635, 15641 +13053 , 12241, 15593, 15638, 12292, 12294, 15599, 15669, 12382 +13054 , 15638, 15593, 12241, 12292, 15670, 15600, 12295, 12383 +13055 , 8659, 8658, 8661, 8662, 15635, 15640, 15643, 15639 +13056 , 8660, 8659, 8662, 8663, 15641, 15635, 15639, 15644 +13057 , 8662, 8661, 8664, 8665, 15639, 15643, 15647, 15642 +13058 , 8663, 8662, 8665, 8666, 15644, 15639, 15642, 15648 +13059 , 8667, 8665, 8668, 8669, 15645, 15642, 15646, 15649 +13060 , 8666, 8665, 8667, 8670, 15648, 15642, 15645, 15650 +13061 , 8665, 8664, 8671, 8668, 15642, 15647, 15721, 15646 +13062 , 8670, 8667, 8669, 8672, 15650, 15645, 15649, 15726 +13063 , 8673, 8674, 8675, 8676, 15652, 15651, 15653, 15656 +13064 , 8677, 8674, 8673, 8678, 15654, 15651, 15652, 15658 +13065 , 8674, 8677, 8679, 8675, 15651, 15654, 15741, 15653 +13066 , 8673, 8680, 8681, 8682, 15652, 15657, 15660, 15655 +13067 , 8678, 8673, 8682, 8683, 15658, 15652, 15655, 15661 +13068 , 8680, 8673, 8676, 8684, 15657, 15652, 15656, 15742 +13069 , 8682, 8681, 8685, 8686, 15655, 15660, 15662, 15659 +13070 , 8683, 8682, 8686, 8615, 15661, 15655, 15659, 15663 +13071 , 8686, 8685, 8687, 8628, 15659, 15662, 15664, 15606 +13072 , 8615, 8686, 8628, 8631, 15663, 15659, 15606, 15665 +13073 , 8628, 8687, 8639, 8629, 15606, 15664, 15666, 15611 +13074 , 15598, 15667, 15600, 15593, 15668, 15716, 15670, 15638 +13075 , 15593, 15598, 15668, 15638, 15599, 15671, 15761, 15669 +13076 , 15674, 15673, 15672, 15675, 15688, 15681, 15678, 15679 +13077 , 15672, 15673, 15674, 15675, 15676, 15682, 15689, 15677 +13078 , 15675, 15672, 15676, 15677, 15614, 15610, 15616, 15619 +13079 , 15675, 15672, 15610, 15614, 15679, 15678, 15615, 15618 +13080 , 15673, 15680, 15611, 15672, 15681, 15764, 15666, 15678 +13081 , 15611, 15680, 15673, 15672, 15683, 15765, 15682, 15676 +13082 , 15672, 15611, 15683, 15676, 15610, 15605, 15613, 15616 +13083 , 15672, 15611, 15605, 15610, 15678, 15666, 15612, 15615 +13084 , 15684, 15674, 15675, 15685, 15694, 15688, 15679, 15687 +13085 , 15675, 15674, 15684, 15685, 15677, 15689, 15695, 15686 +13086 , 15685, 15675, 15677, 15686, 15617, 15614, 15619, 15608 +13087 , 15685, 15675, 15614, 15617, 15687, 15679, 15618, 15621 +13088 , 15690, 15684, 15685, 15691, 15700, 15694, 15687, 15693 +13089 , 15685, 15684, 15690, 15691, 15686, 15695, 15701, 15692 +13090 , 15691, 15685, 15686, 15692, 15620, 15617, 15608, 15624 +13091 , 15691, 15685, 15617, 15620, 15693, 15687, 15621, 15625 +13092 , 15696, 15690, 15691, 15697, 15706, 15700, 15693, 15698 +13093 , 15691, 15690, 15696, 15697, 15692, 15701, 15707, 15699 +13094 , 15620, 15691, 15697, 15623, 15624, 15692, 15699, 15628 +13095 , 15697, 15691, 15620, 15623, 15698, 15693, 15625, 15627 +13096 , 15702, 15696, 15697, 15703, 15710, 15706, 15698, 15704 +13097 , 15697, 15696, 15702, 15703, 15699, 15707, 15711, 15705 +13098 , 15623, 15697, 15703, 15626, 15628, 15699, 15705, 15631 +13099 , 15703, 15697, 15623, 15626, 15704, 15698, 15627, 15630 +13100 , 15602, 15702, 15703, 15708, 15713, 15710, 15704, 15709 +13101 , 15703, 15702, 15602, 15708, 15705, 15711, 15596, 15622 +13102 , 15626, 15703, 15708, 15629, 15631, 15705, 15622, 15634 +13103 , 15708, 15703, 15626, 15629, 15709, 15704, 15630, 15633 +13104 , 15597, 15602, 15708, 15601, 15715, 15713, 15709, 15712 +13105 , 15629, 15708, 15601, 15632, 15634, 15622, 15595, 15637 +13106 , 15601, 15708, 15629, 15632, 15712, 15709, 15633, 15636 +13107 , 15598, 15597, 15601, 15667, 15718, 15715, 15712, 15714 +13108 , 15714, 15712, 15601, 15667, 15640, 15636, 15632, 15635 +13109 , 15632, 15601, 15667, 15635, 15637, 15595, 15600, 15641 +13110 , 15668, 15598, 15667, 15716, 15720, 15718, 15714, 15717 +13111 , 15717, 15714, 15667, 15716, 15643, 15640, 15635, 15639 +13112 , 15635, 15667, 15716, 15639, 15641, 15600, 15670, 15644 +13113 , 15668, 15716, 15670, 15638, 15719, 15646, 15722, 15723 +13114 , 15719, 15668, 15716, 15646, 15794, 15720, 15717, 15721 +13115 , 15716, 15639, 15644, 15670, 15646, 15642, 15648, 15722 +13116 , 15646, 15716, 15639, 15642, 15721, 15717, 15643, 15647 +13117 , 12292, 15638, 15723, 12380, 12382, 15669, 15762, 12453 +13118 , 15723, 15638, 12292, 12380, 15722, 15670, 12383, 12454 +13119 , 8668, 8671, 8688, 8669, 15646, 15721, 15725, 15649 +13120 , 8669, 8688, 8689, 8690, 15649, 15725, 15729, 15724 +13121 , 8669, 15649, 15724, 8690, 8672, 15726, 15730, 8691 +13122 , 8692, 8690, 8693, 8694, 15727, 15724, 15728, 15731 +13123 , 8692, 8690, 15724, 15727, 8695, 8691, 15730, 15732 +13124 , 8690, 8689, 8696, 8693, 15724, 15729, 15804, 15728 +13125 , 8695, 8692, 8694, 8697, 15732, 15727, 15731, 15806 +13126 , 8698, 8699, 8700, 8701, 15733, 15736, 15738, 15734 +13127 , 8698, 15733, 15734, 8701, 8702, 15737, 15739, 8703 +13128 , 8698, 8702, 8704, 8705, 15733, 15737, 15815, 15735 +13129 , 8699, 8698, 8705, 8706, 15736, 15733, 15735, 15816 +13130 , 8701, 8700, 8707, 8675, 15734, 15738, 15740, 15653 +13131 , 8701, 15734, 15653, 8675, 8703, 15739, 15741, 8679 +13132 , 8675, 8707, 8684, 8676, 15653, 15740, 15742, 15656 +13133 , 15743, 15744, 15745, 15746, 15749, 15752, 15759, 15750 +13134 , 15745, 15744, 15743, 15746, 15760, 15753, 15747, 15748 +13135 , 15748, 15747, 15743, 15746, 15662, 15660, 15655, 15659 +13136 , 15655, 15743, 15746, 15659, 15661, 15749, 15750, 15663 +13137 , 15656, 15751, 15744, 15743, 15754, 15829, 15752, 15749 +13138 , 15744, 15751, 15656, 15743, 15753, 15830, 15742, 15747 +13139 , 15655, 15660, 15747, 15743, 15652, 15657, 15742, 15656 +13140 , 15661, 15655, 15743, 15749, 15658, 15652, 15656, 15754 +13141 , 15746, 15745, 15755, 15756, 15750, 15759, 15766, 15758 +13142 , 15755, 15745, 15746, 15756, 15767, 15760, 15748, 15757 +13143 , 15757, 15748, 15746, 15756, 15664, 15662, 15659, 15606 +13144 , 15659, 15746, 15756, 15606, 15663, 15750, 15758, 15665 +13145 , 15638, 15668, 15719, 15723, 15669, 15761, 15793, 15762 +13146 , 15756, 15755, 15763, 15680, 15758, 15766, 15769, 15765 +13147 , 15763, 15755, 15756, 15680, 15770, 15767, 15757, 15764 +13148 , 15764, 15757, 15756, 15680, 15666, 15664, 15606, 15611 +13149 , 15606, 15756, 15680, 15611, 15665, 15758, 15765, 15683 +13150 , 15680, 15763, 15768, 15673, 15765, 15769, 15772, 15682 +13151 , 15768, 15763, 15680, 15673, 15773, 15770, 15764, 15681 +13152 , 15673, 15768, 15771, 15674, 15682, 15772, 15775, 15689 +13153 , 15771, 15768, 15673, 15674, 15776, 15773, 15681, 15688 +13154 , 15674, 15771, 15774, 15684, 15689, 15775, 15778, 15695 +13155 , 15774, 15771, 15674, 15684, 15779, 15776, 15688, 15694 +13156 , 15684, 15774, 15777, 15690, 15695, 15778, 15781, 15701 +13157 , 15777, 15774, 15684, 15690, 15782, 15779, 15694, 15700 +13158 , 15690, 15777, 15780, 15696, 15701, 15781, 15784, 15707 +13159 , 15780, 15777, 15690, 15696, 15785, 15782, 15700, 15706 +13160 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15816, 15823 +13192 , 15735, 15825, 15818, 15817, 15815, 15910, 15826, 15821 +13193 , 15739, 15734, 15817, 15821, 15737, 15733, 15735, 15815 +13194 , 15817, 15735, 15733, 15734, 15823, 15816, 15736, 15738 +13195 , 15820, 15819, 15828, 15751, 15822, 15831, 15834, 15829 +13196 , 15828, 15819, 15820, 15751, 15835, 15832, 15824, 15830 +13197 , 15751, 15820, 15822, 15829, 15656, 15653, 15741, 15754 +13198 , 15830, 15824, 15820, 15751, 15742, 15740, 15653, 15656 +13199 , 15751, 15828, 15833, 15744, 15829, 15834, 15837, 15752 +13200 , 15833, 15828, 15751, 15744, 15838, 15835, 15830, 15753 +13201 , 15744, 15833, 15836, 15745, 15752, 15837, 15840, 15759 +13202 , 15836, 15833, 15744, 15745, 15841, 15838, 15753, 15760 +13203 , 15745, 15836, 15839, 15755, 15759, 15840, 15843, 15766 +13204 , 15839, 15836, 15745, 15755, 15844, 15841, 15760, 15767 +13205 , 15755, 15839, 15842, 15763, 15766, 15843, 15846, 15769 +13206 , 15842, 15839, 15755, 15763, 15847, 15844, 15767, 15770 +13207 , 15763, 15842, 15845, 15768, 15769, 15846, 15849, 15772 +13208 , 15845, 15842, 15763, 15768, 15850, 15847, 15770, 15773 +13209 , 15768, 15845, 15848, 15771, 15772, 15849, 15852, 15775 +13210 , 15848, 15845, 15768, 15771, 15853, 15850, 15773, 15776 +13211 , 15771, 15848, 15851, 15774, 15775, 15852, 15855, 15778 +13212 , 15851, 15848, 15771, 15774, 15856, 15853, 15776, 15779 +13213 , 15774, 15851, 15854, 15777, 15778, 15855, 15858, 15781 +13214 , 15854, 15851, 15774, 15777, 15859, 15856, 15779, 15782 +13215 , 15777, 15854, 15857, 15780, 15781, 15858, 15861, 15784 +13216 , 15857, 15854, 15777, 15780, 15862, 15859, 15782, 15785 +13217 , 12451, 15791, 15803, 12523, 12524, 15801, 15882, 12596 +13218 , 15803, 15791, 12451, 12523, 15730, 15726, 12525, 12599 +13219 , 15780, 15857, 15860, 15783, 15784, 15861, 15864, 15787 +13220 , 15860, 15857, 15780, 15783, 15865, 15862, 15785, 15788 +13221 , 15783, 15860, 15863, 15786, 15787, 15864, 15867, 15609 +13222 , 15863, 15860, 15783, 15786, 15868, 15865, 15788, 15789 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16486, 16485, 8822, 8825, 16490, 16487, 8824, 8827 +13774 , 8826, 8825, 8828, 8829, 16491, 16486, 16489, 16493 +13775 , 16489, 16486, 8825, 8828, 16494, 16490, 8827, 8830 +13776 , 8831, 8828, 8832, 8833, 16492, 16489, 16535, 16536 +13777 , 8829, 8828, 8831, 8834, 16493, 16489, 16492, 16496 +13778 , 16535, 16489, 8828, 8832, 16566, 16494, 8830, 8835 +13779 , 8834, 8831, 8833, 8836, 16496, 16492, 16536, 16567 +13780 , 16495, 16499, 16502, 16498, 16537, 16540, 16542, 16538 +13781 , 16495, 16537, 16538, 16498, 16500, 16539, 16543, 16503 +13782 , 16500, 16495, 16537, 16539, 16497, 16492, 16536, 16568 +13783 , 16537, 16536, 16492, 16495, 16540, 16567, 16496, 16499 +13784 , 16498, 16502, 16504, 16501, 16538, 16542, 16544, 16541 +13785 , 16498, 16538, 16541, 16501, 16503, 16543, 16546, 16506 +13786 , 16501, 16504, 10311, 16505, 16541, 16544, 16569, 16547 +13787 , 16506, 16501, 16505, 16545, 16546, 16541, 16547, 16570 +13788 , 8837, 8808, 8807, 8838, 10311, 16505, 10275, 10312 +13789 , 8808, 8837, 8839, 8840, 16505, 10311, 16569, 16547 +13790 , 8808, 16505, 16547, 8840, 8811, 16545, 16570, 8841 +13791 , 13223, 15778, 15781, 13249, 13250, 15855, 15858, 13276 +13792 , 15781, 15778, 13223, 13249, 15701, 15695, 13251, 13277 +13793 , 10636, 10639, 16507, 11792, 11804, 11806, 11807, 11795 +13794 , 11797, 11795, 11792, 11793, 11813, 11807, 16507, 16508 +13795 , 11801, 11797, 11793, 11800, 11819, 11813, 16508, 16510 +13796 , 11817, 11801, 11800, 16509, 11824, 11819, 16510, 16512 +13797 , 11800, 11801, 11817, 16509, 11799, 11802, 11818, 12234 +13798 , 11823, 11817, 16509, 16511, 16549, 11824, 16512, 16514 +13799 , 16509, 11817, 11823, 16511, 12234, 11818, 11827, 16515 +13800 , 16548, 11823, 16511, 16513, 16551, 16549, 16514, 16517 +13801 , 16511, 11823, 16548, 16513, 16515, 11827, 12235, 16518 +13802 , 16550, 16548, 16513, 16516, 16553, 16551, 16517, 16520 +13803 , 16513, 16548, 16550, 16516, 16518, 12235, 16554, 16521 +13804 , 16552, 16550, 16516, 16519, 16556, 16553, 16520, 16523 +13805 , 16516, 16550, 16552, 16519, 16521, 16554, 16557, 16524 +13806 , 16555, 16552, 16519, 16522, 16559, 16556, 16523, 16526 +13807 , 16519, 16552, 16555, 16522, 16524, 16557, 16560, 16527 +13808 , 16558, 16555, 16522, 16525, 16561, 16559, 16526, 16528 +13809 , 16522, 16555, 16558, 16525, 16527, 16560, 16562, 16530 +13810 , 16561, 16528, 16525, 16558, 16584, 16564, 16529, 16563 +13811 , 16558, 16525, 16530, 16562, 16563, 16529, 16565, 16581 +13812 , 8820, 8819, 8850, 8851, 16529, 16564, 16584, 16563 +13813 , 8820, 16529, 16563, 8851, 8821, 16565, 16581, 8852 +13814 , 16535, 8832, 8833, 16536, 16566, 8835, 8853, 16568 +13815 , 8836, 8833, 8854, 8855, 16567, 16536, 16537, 16540 +13816 , 16537, 16536, 8833, 8854, 16539, 16568, 8853, 8856 +13817 , 8855, 8854, 8857, 8858, 16540, 16537, 16538, 16542 +13818 , 16538, 16537, 8854, 8857, 16543, 16539, 8856, 8859 +13819 , 8858, 8857, 8860, 8861, 16542, 16538, 16541, 16544 +13820 , 16541, 16538, 8857, 8860, 16546, 16543, 8859, 8862 +13821 , 8861, 8860, 8840, 8839, 16544, 16541, 16547, 16569 +13822 , 16547, 16541, 8860, 8840, 16570, 16546, 8862, 8841 +13823 , 13249, 15781, 15784, 13275, 13276, 15858, 15861, 13295 +13824 , 15784, 15781, 13249, 13275, 15707, 15701, 13277, 13296 +13825 , 11849, 11822, 11823, 16548, 16572, 11845, 16549, 16551 +13826 , 11823, 11822, 11849, 16548, 11827, 11828, 11850, 12235 +13827 , 16571, 11849, 16548, 16550, 16574, 16572, 16551, 16553 +13828 , 16548, 11849, 16571, 16550, 12235, 11850, 12236, 16554 +13829 , 16573, 16571, 16550, 16552, 16576, 16574, 16553, 16556 +13830 , 16550, 16571, 16573, 16552, 16554, 12236, 16577, 16557 +13831 , 16575, 16573, 16552, 16555, 16579, 16576, 16556, 16559 +13832 , 16552, 16573, 16575, 16555, 16557, 16577, 16580, 16560 +13833 , 7194, 8647, 8650, 7292, 13285, 15628, 15631, 13437 +13834 , 16578, 16575, 16555, 16558, 16585, 16579, 16559, 16561 +13835 , 16555, 16575, 16578, 16558, 16560, 16580, 16582, 16562 +13836 , 16562, 16558, 16563, 16581, 16582, 16578, 16583, 16594 +13837 , 16583, 16578, 16558, 16563, 16593, 16585, 16561, 16584 +13838 , 8851, 8850, 8872, 8873, 16563, 16584, 16593, 16583 +13839 , 8851, 16563, 16583, 8873, 8852, 16581, 16594, 8874 +13840 , 13275, 15784, 15787, 13294, 13295, 15861, 15864, 13307 +13841 , 15787, 15784, 13275, 13294, 15711, 15707, 13296, 13308 +13842 , 11876, 11848, 11849, 16571, 16587, 11872, 16572, 16574 +13843 , 11849, 11848, 11876, 16571, 11850, 11853, 11877, 12236 +13844 , 16586, 11876, 16571, 16573, 16589, 16587, 16574, 16576 +13845 , 16571, 11876, 16586, 16573, 12236, 11877, 12237, 16577 +13846 , 16588, 16586, 16573, 16575, 16590, 16589, 16576, 16579 +13847 , 16573, 16586, 16588, 16575, 16577, 12237, 16592, 16580 +13848 , 16590, 16579, 16575, 16588, 16596, 16585, 16578, 16591 +13849 , 16575, 16588, 16591, 16578, 16580, 16592, 16598, 16582 +13850 , 8882, 8883, 8873, 8872, 16585, 16578, 16583, 16593 +13851 , 16583, 16578, 8883, 8873, 16594, 16582, 8884, 8874 +13852 , 8883, 8882, 8885, 8886, 16578, 16585, 16596, 16591 +13853 , 8883, 16578, 16591, 8886, 8884, 16582, 16598, 8887 +13854 , 13294, 15787, 15609, 13306, 13307, 15864, 15867, 13315 +13855 , 15609, 15787, 13294, 13306, 15596, 15711, 13308, 12248 +13856 , 11905, 11875, 11876, 16586, 11998, 11901, 16587, 16589 +13857 , 11876, 11875, 11905, 16586, 11877, 11880, 11906, 12237 +13858 , 16595, 11905, 16586, 16588, 16597, 11998, 16589, 16590 +13859 , 16586, 11905, 16595, 16588, 12237, 11906, 16599, 16592 +13860 , 16588, 16590, 16596, 16591, 16595, 16597, 16602, 16600 +13861 , 16592, 16588, 16591, 16598, 16599, 16595, 16600, 16603 +13862 , 8886, 8885, 8893, 8894, 16591, 16596, 16602, 16600 +13863 , 8886, 16591, 16600, 8894, 8887, 16598, 16603, 8895 +13864 , 13306, 15609, 15594, 12244, 13315, 15867, 15870, 13319 +13865 , 11906, 11905, 16595, 16599, 12232, 11904, 16601, 16605 +13866 , 16601, 11904, 11905, 16595, 16604, 11997, 11998, 16597 +13867 , 8901, 8902, 8894, 8893, 16597, 16595, 16600, 16602 +13868 , 16600, 16595, 8902, 8894, 16603, 16599, 8903, 8895 +13869 , 8902, 8901, 8904, 8905, 16595, 16597, 16604, 16601 +13870 , 8902, 16595, 16601, 8905, 8903, 16599, 16605, 8906 +13871 , 8918, 8912, 8905, 8904, 11997, 11904, 16601, 16604 +13872 , 16601, 11904, 8912, 8905, 16605, 12232, 8916, 8906 +13873 , 12244, 15594, 15599, 12294, 13319, 15870, 15873, 13322 +13874 , 12294, 15599, 15669, 12382, 13322, 15873, 15876, 13323 +13875 , 8636, 8635, 8639, 8959, 15615, 15612, 15666, 15678 +13876 , 8640, 8636, 8959, 8960, 15618, 15615, 15678, 15679 +13877 , 8643, 8640, 8960, 8961, 15621, 15618, 15679, 15687 +13878 , 12382, 15669, 15762, 12453, 13323, 15876, 15879, 13338 +13879 , 8645, 8643, 8961, 8962, 15625, 15621, 15687, 15693 +13880 , 8648, 8645, 8962, 8963, 15627, 15625, 15693, 15698 +13881 , 8651, 8648, 8963, 8964, 15630, 15627, 15698, 15704 +13882 , 8652, 8651, 8964, 8965, 15633, 15630, 15704, 15709 +13883 , 8655, 8652, 8965, 8966, 15636, 15633, 15709, 15712 +13884 , 8655, 8967, 8968, 8658, 15636, 16606, 16607, 15640 +13885 , 8967, 8655, 8966, 8969, 16606, 15636, 15712, 16621 +13886 , 8658, 8968, 8970, 8661, 15640, 16607, 16608, 15643 +13887 , 8664, 8661, 8971, 8671, 15647, 15643, 15717, 15721 +13888 , 8661, 8970, 8972, 8971, 15643, 16608, 16624, 15717 +13889 , 8680, 8973, 8974, 8681, 15657, 16609, 16610, 15660 +13890 , 8973, 8680, 8684, 8975, 16609, 15657, 15742, 16629 +13891 , 8681, 8974, 8976, 8685, 15660, 16610, 16611, 15662 +13892 , 8685, 8976, 8977, 8687, 15662, 16611, 16612, 15664 +13893 , 8687, 8977, 8978, 8639, 15664, 16612, 16613, 15666 +13894 , 8639, 8978, 8979, 8959, 15666, 16613, 16614, 15678 +13895 , 8959, 8979, 8980, 8960, 15678, 16614, 16615, 15679 +13896 , 8960, 8980, 8981, 8961, 15679, 16615, 16616, 15687 +13897 , 8961, 8981, 8982, 8962, 15687, 16616, 16617, 15693 +13898 , 8962, 8982, 8983, 8963, 15693, 16617, 16618, 15698 +13899 , 8963, 8983, 8984, 8964, 15698, 16618, 16619, 15704 +13900 , 8964, 8984, 8985, 8965, 15704, 16619, 16620, 15709 +13901 , 12453, 15762, 15801, 12524, 13338, 15879, 15884, 13368 +13902 , 8965, 8985, 8969, 8966, 15709, 16620, 16621, 15712 +13903 , 15718, 15715, 15712, 15714, 16623, 16651, 16621, 16622 +13904 , 15720, 15718, 15714, 15717, 16654, 16623, 16622, 16624 +13905 , 15714, 15712, 15636, 15640, 16622, 16621, 16606, 16607 +13906 , 15717, 15714, 15640, 15643, 16624, 16622, 16607, 16608 +13907 , 8971, 8972, 8986, 8671, 15717, 16624, 16625, 15721 +13908 , 8671, 8986, 8987, 8688, 15721, 16625, 16626, 15725 +13909 , 8689, 8688, 8988, 8696, 15729, 15725, 15798, 15804 +13910 , 8688, 8987, 8989, 8988, 15725, 16626, 16659, 15798 +13911 , 8700, 8699, 8706, 8990, 15738, 15736, 15816, 15823 +13912 , 8700, 8991, 8992, 8707, 15738, 16627, 16628, 15740 +13913 , 8991, 8700, 8990, 8993, 16627, 15738, 15823, 16664 +13914 , 8707, 8992, 8975, 8684, 15740, 16628, 16629, 15742 +13915 , 15760, 15753, 15747, 15748, 16634, 16632, 16630, 16631 +13916 , 15748, 15747, 15660, 15662, 16631, 16630, 16610, 16611 +13917 , 15753, 15830, 15742, 15747, 16632, 16666, 16629, 16630 +13918 , 15747, 15742, 15657, 15660, 16630, 16629, 16609, 16610 +13919 , 15767, 15760, 15748, 15757, 16636, 16634, 16631, 16633 +13920 , 15757, 15748, 15662, 15664, 16633, 16631, 16611, 16612 +13921 , 15770, 15767, 15757, 15764, 16638, 16636, 16633, 16635 +13922 , 15764, 15757, 15664, 15666, 16635, 16633, 16612, 16613 +13923 , 15773, 15770, 15764, 15681, 16640, 16638, 16635, 16637 +13924 , 16637, 16635, 15764, 15681, 16614, 16613, 15666, 15678 +13925 , 15776, 15773, 15681, 15688, 16642, 16640, 16637, 16639 +13926 , 16639, 16637, 15681, 15688, 16615, 16614, 15678, 15679 +13927 , 15779, 15776, 15688, 15694, 16644, 16642, 16639, 16641 +13928 , 15694, 15688, 15679, 15687, 16641, 16639, 16615, 16616 +13929 , 15782, 15779, 15694, 15700, 16646, 16644, 16641, 16643 +13930 , 15700, 15694, 15687, 15693, 16643, 16641, 16616, 16617 +13931 , 15785, 15782, 15700, 15706, 16648, 16646, 16643, 16645 +13932 , 15706, 15700, 15693, 15698, 16645, 16643, 16617, 16618 +13933 , 15788, 15785, 15706, 15710, 16650, 16648, 16645, 16647 +13934 , 15710, 15706, 15698, 15704, 16647, 16645, 16618, 16619 +13935 , 12524, 15801, 15882, 12596, 13368, 15884, 15890, 13395 +13936 , 15789, 15788, 15710, 15713, 16652, 16650, 16647, 16649 +13937 , 16649, 16647, 15710, 15713, 16620, 16619, 15704, 15709 +13938 , 15790, 15789, 15713, 15715, 16653, 16652, 16649, 16651 +13939 , 16651, 16649, 15713, 15715, 16621, 16620, 15709, 15712 +13940 , 15792, 15790, 15715, 15718, 16655, 16653, 16651, 16623 +13941 , 15795, 15792, 15718, 15720, 16657, 16655, 16623, 16654 +13942 , 15799, 15795, 15720, 15794, 16658, 16657, 16654, 16656 +13943 , 15794, 15720, 15717, 15721, 16656, 16654, 16624, 16625 +13944 , 15802, 15799, 15794, 15798, 16683, 16658, 16656, 16659 +13945 , 15798, 15794, 15721, 15725, 16659, 16656, 16625, 16626 +13946 , 8988, 8989, 8994, 8696, 15798, 16659, 16660, 15804 +13947 , 8696, 8994, 8995, 8708, 15804, 16660, 16661, 15807 +13948 , 8711, 8708, 8996, 8714, 15810, 15807, 15889, 15896 +13949 , 8708, 8995, 8997, 8996, 15807, 16661, 16688, 15889 +13950 , 8717, 8998, 8999, 8706, 15814, 16662, 16663, 15816 +13951 , 8998, 8717, 8720, 9000, 16662, 15814, 15905, 16691 +13952 , 8706, 8999, 8993, 8990, 15816, 16663, 16664, 15823 +13953 , 15835, 15832, 15824, 15830, 16668, 16667, 16665, 16666 +13954 , 15830, 15824, 15740, 15742, 16666, 16665, 16628, 16629 +13955 , 15832, 15827, 15823, 15824, 16667, 16693, 16664, 16665 +13956 , 15824, 15823, 15738, 15740, 16665, 16664, 16627, 16628 +13957 , 15838, 15835, 15830, 15753, 16669, 16668, 16666, 16632 +13958 , 15841, 15838, 15753, 15760, 16670, 16669, 16632, 16634 +13959 , 15844, 15841, 15760, 15767, 16671, 16670, 16634, 16636 +13960 , 15847, 15844, 15767, 15770, 16672, 16671, 16636, 16638 +13961 , 15850, 15847, 15770, 15773, 16673, 16672, 16638, 16640 +13962 , 15853, 15850, 15773, 15776, 16674, 16673, 16640, 16642 +13963 , 12596, 15882, 15888, 13394, 13395, 15890, 15893, 13419 +13964 , 15856, 15853, 15776, 15779, 16675, 16674, 16642, 16644 +13965 , 15859, 15856, 15779, 15782, 16676, 16675, 16644, 16646 +13966 , 15862, 15859, 15782, 15785, 16677, 16676, 16646, 16648 +13967 , 15865, 15862, 15785, 15788, 16678, 16677, 16648, 16650 +13968 , 15868, 15865, 15788, 15789, 16679, 16678, 16650, 16652 +13969 , 15871, 15868, 15789, 15790, 16680, 16679, 16652, 16653 +13970 , 15874, 15871, 15790, 15792, 16681, 16680, 16653, 16655 +13971 , 15877, 15874, 15792, 15795, 16682, 16681, 16655, 16657 +13972 , 15880, 15877, 15795, 15799, 16684, 16682, 16657, 16658 +13973 , 15885, 15880, 15799, 15802, 16686, 16684, 16658, 16683 +13974 , 15891, 15885, 15802, 15883, 16687, 16686, 16683, 16685 +13975 , 15883, 15802, 15798, 15804, 16685, 16683, 16659, 16660 +13976 , 15894, 15891, 15883, 15889, 16714, 16687, 16685, 16688 +13977 , 15889, 15883, 15804, 15807, 16688, 16685, 16660, 16661 +13978 , 8996, 8997, 9001, 8714, 15889, 16688, 16689, 15896 +13979 , 8721, 8714, 9002, 8724, 15899, 15896, 15975, 15983 +13980 , 8714, 9001, 9003, 9002, 15896, 16689, 16717, 15975 +13981 , 8728, 9004, 9000, 8720, 15903, 16690, 16691, 15905 +13982 , 9004, 8728, 8731, 9005, 16690, 15903, 15992, 16721 +13983 , 15915, 15912, 15909, 15827, 16695, 16694, 16692, 16693 +13984 , 16693, 16692, 15909, 15827, 16664, 16663, 15816, 15823 +13985 , 15912, 15996, 15905, 15909, 16694, 16722, 16691, 16692 +13986 , 15909, 15905, 15814, 15816, 16692, 16691, 16662, 16663 +13987 , 15918, 15915, 15827, 15832, 16696, 16695, 16693, 16667 +13988 , 15921, 15918, 15832, 15835, 16697, 16696, 16667, 16668 +13989 , 15893, 15888, 13394, 13419, 15976, 15895, 13420, 13793 +13990 , 15888, 15806, 12600, 13394, 15895, 15809, 12727, 13420 +13991 , 15924, 15921, 15835, 15838, 16698, 16697, 16668, 16669 +13992 , 15927, 15924, 15838, 15841, 16699, 16698, 16669, 16670 +13993 , 15930, 15927, 15841, 15844, 16700, 16699, 16670, 16671 +13994 , 15933, 15930, 15844, 15847, 16701, 16700, 16671, 16672 +13995 , 15936, 15933, 15847, 15850, 16702, 16701, 16672, 16673 +13996 , 15939, 15936, 15850, 15853, 16703, 16702, 16673, 16674 +13997 , 15942, 15939, 15853, 15856, 16704, 16703, 16674, 16675 +13998 , 15945, 15942, 15856, 15859, 16705, 16704, 16675, 16676 +13999 , 15948, 15945, 15859, 15862, 16706, 16705, 16676, 16677 +14000 , 15951, 15948, 15862, 15865, 16707, 16706, 16677, 16678 +14001 , 15954, 15951, 15865, 15868, 16708, 16707, 16678, 16679 +14002 , 15957, 15954, 15868, 15871, 16709, 16708, 16679, 16680 +14003 , 15960, 15957, 15871, 15874, 16710, 16709, 16680, 16681 +14004 , 15963, 15960, 15874, 15877, 16711, 16710, 16681, 16682 +14005 , 15966, 15963, 15877, 15880, 16712, 16711, 16682, 16684 +14006 , 15969, 15966, 15880, 15885, 16713, 16712, 16684, 16686 +14007 , 7292, 8650, 8654, 7427, 13437, 15631, 15634, 13613 +14008 , 15972, 15969, 15885, 15891, 16715, 16713, 16686, 16687 +14009 , 15977, 15972, 15891, 15894, 16716, 16715, 16687, 16714 +14010 , 15980, 15977, 15894, 15975, 16745, 16716, 16714, 16717 +14011 , 15975, 15894, 15889, 15896, 16717, 16714, 16688, 16689 +14012 , 9002, 9003, 9006, 8724, 15975, 16717, 16718, 15983 +14013 , 7159, 8713, 8723, 7429, 13420, 15895, 15900, 13464 +14014 , 8724, 9006, 9007, 8733, 15983, 16718, 16719, 15986 +14015 , 8733, 9007, 9008, 8736, 15986, 16719, 16750, 16075 +14016 , 8740, 9009, 9005, 8731, 15990, 16720, 16721, 15992 +14017 , 9009, 8740, 8743, 9010, 16720, 15990, 16085, 16751 +14018 , 16002, 15999, 15996, 15912, 16724, 16723, 16722, 16694 +14019 , 15999, 16089, 15992, 15996, 16723, 16752, 16721, 16722 +14020 , 15996, 15992, 15903, 15905, 16722, 16721, 16690, 16691 +14021 , 16005, 16002, 15912, 15915, 16725, 16724, 16694, 16695 +14022 , 16008, 16005, 15915, 15918, 16726, 16725, 16695, 16696 +14023 , 16011, 16008, 15918, 15921, 16727, 16726, 16696, 16697 +14024 , 16014, 16011, 15921, 15924, 16728, 16727, 16697, 16698 +14025 , 16017, 16014, 15924, 15927, 16729, 16728, 16698, 16699 +14026 , 16020, 16017, 15927, 15930, 16730, 16729, 16699, 16700 +14027 , 16023, 16020, 15930, 15933, 16731, 16730, 16700, 16701 +14028 , 16026, 16023, 15933, 15936, 16732, 16731, 16701, 16702 +14029 , 16029, 16026, 15936, 15939, 16733, 16732, 16702, 16703 +14030 , 16032, 16029, 15939, 15942, 16734, 16733, 16703, 16704 +14031 , 16035, 16032, 15942, 15945, 16735, 16734, 16704, 16705 +14032 , 16038, 16035, 15945, 15948, 16736, 16735, 16705, 16706 +14033 , 16041, 16038, 15948, 15951, 16737, 16736, 16706, 16707 +14034 , 16044, 16041, 15951, 15954, 16738, 16737, 16707, 16708 +14035 , 16047, 16044, 15954, 15957, 16739, 16738, 16708, 16709 +14036 , 7429, 8723, 8726, 7434, 13464, 15900, 15982, 13814 +14037 , 16050, 16047, 15957, 15960, 16740, 16739, 16709, 16710 +14038 , 16053, 16050, 15960, 15963, 16741, 16740, 16710, 16711 +14039 , 16056, 16053, 15963, 15966, 16742, 16741, 16711, 16712 +14040 , 16059, 16056, 15966, 15969, 16743, 16742, 16712, 16713 +14041 , 16062, 16059, 15969, 15972, 16744, 16743, 16713, 16715 +14042 , 16065, 16062, 15972, 15977, 16746, 16744, 16715, 16716 +14043 , 16070, 16065, 15977, 15980, 16748, 16746, 16716, 16745 +14044 , 16073, 16070, 15980, 16068, 16749, 16748, 16745, 16747 +14045 , 16068, 15980, 15975, 15983, 16747, 16745, 16717, 16718 +14046 , 16163, 16073, 16068, 16075, 16779, 16749, 16747, 16750 +14047 , 16075, 16068, 15983, 15986, 16750, 16747, 16718, 16719 +14048 , 8745, 8736, 9011, 8748, 16079, 16075, 16163, 16171 +14049 , 8736, 9008, 9012, 9011, 16075, 16750, 16779, 16163 +14050 , 8743, 8752, 8755, 9013, 16085, 16083, 16173, 16177 +14051 , 9010, 8743, 9013, 9014, 16751, 16085, 16177, 16781 +14052 , 16095, 16092, 16089, 15999, 16754, 16753, 16752, 16723 +14053 , 16092, 16177, 16085, 16089, 16753, 16781, 16751, 16752 +14054 , 16089, 16085, 15990, 15992, 16752, 16751, 16720, 16721 +14055 , 16098, 16095, 15999, 16002, 16755, 16754, 16723, 16724 +14056 , 16101, 16098, 16002, 16005, 16756, 16755, 16724, 16725 +14057 , 16104, 16101, 16005, 16008, 16757, 16756, 16725, 16726 +14058 , 16107, 16104, 16008, 16011, 16758, 16757, 16726, 16727 +14059 , 16110, 16107, 16011, 16014, 16759, 16758, 16727, 16728 +14060 , 16112, 16110, 16014, 16017, 16760, 16759, 16728, 16729 +14061 , 7439, 8729, 8718, 7174, 13486, 15904, 15906, 13507 +14062 , 8729, 7439, 7440, 8732, 15904, 13486, 13895, 15993 +14063 , 16114, 16112, 16017, 16020, 16761, 16760, 16729, 16730 +14064 , 16116, 16114, 16020, 16023, 16762, 16761, 16730, 16731 +14065 , 16118, 16116, 16023, 16026, 16763, 16762, 16731, 16732 +14066 , 16121, 16118, 16026, 16029, 16764, 16763, 16732, 16733 +14067 , 16124, 16121, 16029, 16032, 16765, 16764, 16733, 16734 +14068 , 16127, 16124, 16032, 16035, 16766, 16765, 16734, 16735 +14069 , 16130, 16127, 16035, 16038, 16767, 16766, 16735, 16736 +14070 , 16133, 16130, 16038, 16041, 16768, 16767, 16736, 16737 +14071 , 16136, 16133, 16041, 16044, 16769, 16768, 16737, 16738 +14072 , 16139, 16136, 16044, 16047, 16770, 16769, 16738, 16739 +14073 , 16142, 16139, 16047, 16050, 16771, 16770, 16739, 16740 +14074 , 16145, 16142, 16050, 16053, 16772, 16771, 16740, 16741 +14075 , 16148, 16145, 16053, 16056, 16773, 16772, 16741, 16742 +14076 , 16151, 16148, 16056, 16059, 16774, 16773, 16742, 16743 +14077 , 16154, 16151, 16059, 16062, 16775, 16774, 16743, 16744 +14078 , 16157, 16154, 16062, 16065, 16776, 16775, 16744, 16746 +14079 , 16160, 16157, 16065, 16070, 16777, 16776, 16746, 16748 +14080 , 16165, 16160, 16070, 16073, 16778, 16777, 16748, 16749 +14081 , 16167, 16165, 16073, 16163, 16805, 16778, 16749, 16779 +14082 , 9011, 9012, 9015, 8748, 16163, 16779, 16780, 16171 +14083 , 8748, 9015, 9016, 8757, 16171, 16780, 16808, 16243 +14084 , 9013, 8755, 8761, 8772, 16177, 16173, 16249, 16180 +14085 , 9014, 9013, 8772, 9017, 16781, 16177, 16180, 16809 +14086 , 16185, 16182, 16092, 16095, 16783, 16782, 16753, 16754 +14087 , 16182, 16180, 16177, 16092, 16782, 16809, 16781, 16753 +14088 , 16188, 16185, 16095, 16098, 16784, 16783, 16754, 16755 +14089 , 16191, 16188, 16098, 16101, 16785, 16784, 16755, 16756 +14090 , 16194, 16191, 16101, 16104, 16786, 16785, 16756, 16757 +14091 , 16197, 16194, 16104, 16107, 16787, 16786, 16757, 16758 +14092 , 16199, 16197, 16107, 16110, 16788, 16787, 16758, 16759 +14093 , 16200, 16199, 16110, 16112, 16789, 16788, 16759, 16760 +14094 , 16201, 16200, 16112, 16114, 16790, 16789, 16760, 16761 +14095 , 10785, 16201, 16114, 16116, 16791, 16790, 16761, 16762 +14096 , 10788, 10785, 16116, 16118, 10819, 16791, 16762, 16763 +14097 , 10791, 10788, 16118, 16121, 10820, 10819, 16763, 16764 +14098 , 10794, 10791, 16121, 16124, 16792, 10820, 16764, 16765 +14099 , 16203, 10794, 16124, 16127, 16793, 16792, 16765, 16766 +14100 , 16205, 16203, 16127, 16130, 16794, 16793, 16766, 16767 +14101 , 16208, 16205, 16130, 16133, 16795, 16794, 16767, 16768 +14102 , 16211, 16208, 16133, 16136, 16796, 16795, 16768, 16769 +14103 , 16214, 16211, 16136, 16139, 16797, 16796, 16769, 16770 +14104 , 13525, 15910, 15826, 12899, 13526, 15913, 15916, 13547 +14105 , 13525, 15910, 15913, 13526, 13507, 15906, 15997, 13908 +14106 , 12855, 15815, 15910, 13525, 12790, 15813, 15906, 13507 +14107 , 16217, 16214, 16139, 16142, 16798, 16797, 16770, 16771 +14108 , 16220, 16217, 16142, 16145, 16799, 16798, 16771, 16772 +14109 , 16223, 16220, 16145, 16148, 16800, 16799, 16772, 16773 +14110 , 16226, 16223, 16148, 16151, 16801, 16800, 16773, 16774 +14111 , 16229, 16226, 16151, 16154, 16802, 16801, 16774, 16775 +14112 , 16232, 16229, 16154, 16157, 16803, 16802, 16775, 16776 +14113 , 16235, 16232, 16157, 16160, 16804, 16803, 16776, 16777 +14114 , 16238, 16235, 16160, 16165, 16806, 16804, 16777, 16778 +14115 , 16240, 16238, 16165, 16167, 16807, 16806, 16778, 16805 +14116 , 16807, 16805, 16167, 16240, 16827, 16808, 16243, 16301 +14117 , 16805, 16779, 16163, 16167, 16808, 16780, 16171, 16243 +14118 , 8757, 9016, 9018, 8767, 16243, 16808, 16827, 16301 +14119 , 9017, 8772, 8774, 9019, 16809, 16180, 16309, 16829 +14120 , 16257, 16254, 16182, 16185, 16811, 16810, 16782, 16783 +14121 , 16182, 16782, 16810, 16254, 16180, 16809, 16829, 16309 +14122 , 16260, 16257, 16185, 16188, 16812, 16811, 16783, 16784 +14123 , 16263, 16260, 16188, 16191, 16813, 16812, 16784, 16785 +14124 , 16266, 16263, 16191, 16194, 16814, 16813, 16785, 16786 +14125 , 16269, 16266, 16194, 16197, 16815, 16814, 16786, 16787 +14126 , 16270, 16269, 16197, 16199, 16816, 16815, 16787, 16788 +14127 , 10799, 16270, 16199, 16200, 16817, 16816, 16788, 16789 +14128 , 12899, 15826, 15831, 12949, 13547, 15916, 15919, 13559 +14129 , 10801, 10799, 16200, 16201, 10821, 16817, 16789, 16790 +14130 , 16201, 10801, 10277, 10785, 10778, 10779, 10780, 10781 +14131 , 10277, 10801, 16201, 10785, 10281, 10821, 16790, 16791 +14132 , 10531, 10289, 10794, 16203, 10322, 10290, 16792, 16793 +14133 , 10794, 10289, 10531, 16203, 10790, 10526, 10530, 10793 +14134 , 10590, 10531, 16203, 16205, 10822, 10322, 16793, 16794 +14135 , 10809, 10590, 16205, 16208, 10823, 10822, 16794, 16795 +14136 , 10812, 10809, 16208, 16211, 10826, 10823, 16795, 16796 +14137 , 10825, 10812, 16211, 16214, 10832, 10826, 16796, 16797 +14138 , 16275, 10825, 16214, 16217, 16818, 10832, 16797, 16798 +14139 , 16278, 16275, 16217, 16220, 16819, 16818, 16798, 16799 +14140 , 16281, 16278, 16220, 16223, 16820, 16819, 16799, 16800 +14141 , 16284, 16281, 16223, 16226, 16821, 16820, 16800, 16801 +14142 , 16287, 16284, 16226, 16229, 16822, 16821, 16801, 16802 +14143 , 16290, 16287, 16229, 16232, 16823, 16822, 16802, 16803 +14144 , 16293, 16290, 16232, 16235, 16824, 16823, 16803, 16804 +14145 , 16296, 16293, 16235, 16238, 16825, 16824, 16804, 16806 +14146 , 16299, 16296, 16238, 16240, 16826, 16825, 16806, 16807 +14147 , 16826, 16807, 16240, 16299, 16846, 16827, 16301, 16357 +14148 , 12949, 15831, 15834, 12989, 13559, 15919, 15922, 13569 +14149 , 8775, 8767, 9020, 8776, 16304, 16301, 16357, 16365 +14150 , 8767, 9018, 9021, 9020, 16301, 16827, 16846, 16357 +14151 , 8779, 9022, 9019, 8774, 16307, 16828, 16829, 16309 +14152 , 9022, 8779, 8781, 9023, 16828, 16307, 16367, 16848 +14153 , 16317, 16313, 16254, 16257, 16831, 16830, 16810, 16811 +14154 , 16313, 16371, 16309, 16254, 16830, 16849, 16829, 16810 +14155 , 16320, 16317, 16257, 16260, 16832, 16831, 16811, 16812 +14156 , 16323, 16320, 16260, 16263, 16833, 16832, 16812, 16813 +14157 , 16326, 16323, 16263, 16266, 16834, 16833, 16813, 16814 +14158 , 16329, 16326, 16266, 16269, 16835, 16834, 16814, 16815 +14159 , 16330, 16329, 16269, 16270, 16836, 16835, 16815, 16816 +14160 , 10800, 16330, 16270, 10799, 10828, 16836, 16816, 16817 +14161 , 12989, 15834, 15837, 13019, 13569, 15922, 15925, 13589 +14162 , 16333, 10824, 10825, 16275, 16837, 10829, 10832, 16818 +14163 , 16336, 16333, 16275, 16278, 16838, 16837, 16818, 16819 +14164 , 16339, 16336, 16278, 16281, 16839, 16838, 16819, 16820 +14165 , 16342, 16339, 16281, 16284, 16840, 16839, 16820, 16821 +14166 , 16345, 16342, 16284, 16287, 16841, 16840, 16821, 16822 +14167 , 16348, 16345, 16287, 16290, 16842, 16841, 16822, 16823 +14168 , 16351, 16348, 16290, 16293, 16843, 16842, 16823, 16824 +14169 , 16354, 16351, 16293, 16296, 16844, 16843, 16824, 16825 +14170 , 16359, 16354, 16296, 16299, 16845, 16844, 16825, 16826 +14171 , 16361, 16359, 16299, 16357, 16866, 16845, 16826, 16846 +14172 , 9020, 9021, 9024, 8776, 16357, 16846, 16847, 16365 +14173 , 8776, 9024, 9025, 8783, 16365, 16847, 16869, 16423 +14174 , 9023, 8781, 8787, 9026, 16848, 16367, 16426, 16870 +14175 , 16376, 16373, 16371, 16313, 16851, 16850, 16849, 16830 +14176 , 16371, 16367, 16307, 16309, 16849, 16848, 16828, 16829 +14177 , 16373, 16426, 16367, 16371, 16850, 16870, 16848, 16849 +14178 , 16379, 16376, 16313, 16317, 16852, 16851, 16830, 16831 +14179 , 16382, 16379, 16317, 16320, 16853, 16852, 16831, 16832 +14180 , 16385, 16382, 16320, 16323, 16854, 16853, 16832, 16833 +14181 , 16388, 16385, 16323, 16326, 16855, 16854, 16833, 16834 +14182 , 16391, 16388, 16326, 16329, 16856, 16855, 16834, 16835 +14183 , 13019, 15837, 15840, 13080, 13589, 15925, 15928, 13599 +14184 , 16392, 16391, 16329, 16330, 16857, 16856, 16835, 16836 +14185 , 10263, 16392, 16330, 10800, 10304, 16857, 16836, 10828 +14186 , 16395, 10654, 10824, 16333, 16858, 10831, 10829, 16837 +14187 , 16397, 16395, 16333, 16336, 16859, 16858, 16837, 16838 +14188 , 16400, 16397, 16336, 16339, 16860, 16859, 16838, 16839 +14189 , 16403, 16400, 16339, 16342, 16861, 16860, 16839, 16840 +14190 , 16406, 16403, 16342, 16345, 16862, 16861, 16840, 16841 +14191 , 16409, 16406, 16345, 16348, 16863, 16862, 16841, 16842 +14192 , 16412, 16409, 16348, 16351, 16864, 16863, 16842, 16843 +14193 , 16415, 16412, 16351, 16354, 16865, 16864, 16843, 16844 +14194 , 13080, 15840, 15843, 13114, 13599, 15928, 15931, 13614 +14195 , 16418, 16415, 16354, 16359, 16867, 16865, 16844, 16845 +14196 , 16420, 16418, 16359, 16361, 16868, 16867, 16845, 16866 +14197 , 16479, 16420, 16361, 16423, 16888, 16868, 16866, 16869 +14198 , 16423, 16361, 16357, 16365, 16869, 16866, 16846, 16847 +14199 , 8783, 9025, 9027, 8789, 16423, 16869, 16888, 16479 +14200 , 9026, 8787, 8795, 9028, 16870, 16426, 16373, 16850 +14201 , 9028, 8795, 8797, 9029, 16850, 16373, 16483, 16889 +14202 , 16376, 16851, 16852, 16379, 16431, 16871, 16872, 16434 +14203 , 16373, 16850, 16851, 16376, 16483, 16889, 16871, 16431 +14204 , 16437, 16434, 16379, 16382, 16873, 16872, 16852, 16853 +14205 , 16440, 16437, 16382, 16385, 16874, 16873, 16853, 16854 +14206 , 16443, 16440, 16385, 16388, 16875, 16874, 16854, 16855 +14207 , 16446, 16443, 16388, 16391, 16876, 16875, 16855, 16856 +14208 , 16448, 16446, 16391, 16392, 16877, 16876, 16856, 16857 +14209 , 10303, 16448, 16392, 10263, 10309, 16877, 16857, 10304 +14210 , 7427, 8654, 8657, 7456, 13613, 15634, 15637, 13683 +14211 , 13114, 15843, 15846, 13142, 13614, 15931, 15934, 13629 +14212 , 16451, 10637, 10654, 16395, 16878, 10660, 10831, 16858 +14213 , 16453, 16451, 16395, 16397, 16879, 16878, 16858, 16859 +14214 , 16456, 16453, 16397, 16400, 16880, 16879, 16859, 16860 +14215 , 16459, 16456, 16400, 16403, 16881, 16880, 16860, 16861 +14216 , 16462, 16459, 16403, 16406, 16882, 16881, 16861, 16862 +14217 , 16465, 16462, 16406, 16409, 16883, 16882, 16862, 16863 +14218 , 16468, 16465, 16409, 16412, 16884, 16883, 16863, 16864 +14219 , 16471, 16468, 16412, 16415, 16885, 16884, 16864, 16865 +14220 , 16474, 16471, 16415, 16418, 16886, 16885, 16865, 16867 +14221 , 16476, 16474, 16418, 16420, 16887, 16886, 16867, 16868 +14222 , 16531, 16476, 16420, 16479, 16905, 16887, 16868, 16888 +14223 , 8789, 9027, 9030, 8798, 16479, 16888, 16905, 16531 +14224 , 9031, 8797, 8803, 8823, 16431, 16483, 16533, 16488 +14225 , 9029, 8797, 9031, 9032, 16889, 16483, 16431, 16871 +14226 , 9033, 9031, 8823, 8826, 16434, 16431, 16488, 16491 +14227 , 9032, 9031, 9033, 9034, 16871, 16431, 16434, 16872 +14228 , 9034, 9033, 8826, 9035, 16872, 16434, 16491, 16906 +14229 , 16437, 16873, 16874, 16440, 16493, 16890, 16891, 16496 +14230 , 16493, 16491, 16434, 16437, 16890, 16906, 16872, 16873 +14231 , 16440, 16874, 16875, 16443, 16496, 16891, 16892, 16499 +14232 , 13142, 15846, 15849, 13200, 13629, 15934, 15937, 13639 +14233 , 16502, 16499, 16443, 16446, 16893, 16892, 16875, 16876 +14234 , 16504, 16502, 16446, 16448, 16894, 16893, 16876, 16877 +14235 , 10311, 16504, 16448, 10303, 10355, 16894, 16877, 10309 +14236 , 10311, 10303, 10310, 16505, 10312, 10272, 10270, 10275 +14237 , 16507, 10639, 10637, 16451, 16895, 10661, 10660, 16878 +14238 , 16508, 16507, 16451, 16453, 16896, 16895, 16878, 16879 +14239 , 16510, 16508, 16453, 16456, 16897, 16896, 16879, 16880 +14240 , 16512, 16510, 16456, 16459, 16898, 16897, 16880, 16881 +14241 , 16514, 16512, 16459, 16462, 16899, 16898, 16881, 16882 +14242 , 16517, 16514, 16462, 16465, 16900, 16899, 16882, 16883 +14243 , 16520, 16517, 16465, 16468, 16901, 16900, 16883, 16884 +14244 , 13200, 15849, 15852, 13224, 13639, 15937, 15940, 13648 +14245 , 16523, 16520, 16468, 16471, 16902, 16901, 16884, 16885 +14246 , 16526, 16523, 16471, 16474, 16903, 16902, 16885, 16886 +14247 , 16528, 16526, 16474, 16476, 16904, 16903, 16886, 16887 +14248 , 16564, 16528, 16476, 16531, 16917, 16904, 16887, 16905 +14249 , 8798, 9030, 9036, 8819, 16531, 16905, 16917, 16564 +14250 , 9035, 8826, 8829, 9037, 16906, 16491, 16493, 16890 +14251 , 9037, 8829, 8834, 9038, 16890, 16493, 16496, 16891 +14252 , 9039, 8834, 8836, 8855, 16499, 16496, 16567, 16540 +14253 , 9038, 8834, 9039, 9040, 16891, 16496, 16499, 16892 +14254 , 9040, 9039, 8855, 9041, 16892, 16499, 16540, 16919 +14255 , 16502, 16893, 16894, 16504, 16542, 16907, 16908, 16544 +14256 , 16542, 16540, 16499, 16502, 16907, 16919, 16892, 16893 +14257 , 16504, 16894, 10355, 10311, 16544, 16908, 16920, 16569 +14258 , 8837, 8838, 9042, 8839, 10311, 10312, 10424, 16569 +14259 , 13224, 15852, 15855, 13250, 13648, 15940, 15943, 13661 +14260 , 11806, 10658, 10638, 10639, 16909, 10657, 10641, 10661 +14261 , 10638, 10658, 11806, 10639, 10635, 11184, 11804, 10636 +14262 , 11807, 11806, 10639, 16507, 16910, 16909, 10661, 16895 +14263 , 11813, 11807, 16507, 16508, 11964, 16910, 16895, 16896 +14264 , 11819, 11813, 16508, 16510, 11966, 11964, 16896, 16897 +14265 , 11824, 11819, 16510, 16512, 16911, 11966, 16897, 16898 +14266 , 16549, 11824, 16512, 16514, 16912, 16911, 16898, 16899 +14267 , 16551, 16549, 16514, 16517, 16913, 16912, 16899, 16900 +14268 , 16553, 16551, 16517, 16520, 16914, 16913, 16900, 16901 +14269 , 16556, 16553, 16520, 16523, 16915, 16914, 16901, 16902 +14270 , 16559, 16556, 16523, 16526, 16916, 16915, 16902, 16903 +14271 , 16561, 16559, 16526, 16528, 16918, 16916, 16903, 16904 +14272 , 16584, 16561, 16528, 16564, 16926, 16918, 16904, 16917 +14273 , 8819, 9036, 9045, 8850, 16564, 16917, 16926, 16584 +14274 , 9041, 8855, 8858, 9046, 16919, 16540, 16542, 16907 +14275 , 9046, 8858, 8861, 9047, 16907, 16542, 16544, 16908 +14276 , 9047, 8861, 8839, 9048, 16908, 16544, 16569, 16920 +14277 , 9048, 8839, 9042, 9049, 16920, 16569, 10424, 10363 +14278 , 13250, 15855, 15858, 13276, 13661, 15943, 15946, 13667 +14279 , 9049, 9042, 9043, 9050, 10363, 10424, 10317, 10364 +14280 , 9050, 9043, 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17726, 17725, 17699, 17700 +15391 , 17424, 17423, 17397, 17398, 17725, 17750, 17724, 17699 +15392 , 17426, 17425, 17399, 17400, 17727, 17726, 17700, 17701 +15393 , 17427, 17426, 17400, 17401, 17728, 17727, 17701, 17702 +15394 , 17428, 17427, 17401, 17402, 17729, 17728, 17702, 17703 +15395 , 17429, 17428, 17402, 17403, 17730, 17729, 17703, 17704 +15396 , 17430, 17429, 17403, 17404, 17731, 17730, 17704, 17705 +15397 , 17431, 17430, 17404, 17405, 17732, 17731, 17705, 17706 +15398 , 17432, 17431, 17405, 17406, 17733, 17732, 17706, 17707 +15399 , 17433, 17432, 17406, 17407, 17734, 17733, 17707, 17708 +15400 , 10376, 17433, 17407, 17408, 17735, 17734, 17708, 17709 +15401 , 17408, 10376, 10373, 10372, 10325, 10326, 10336, 10370 +15402 , 10373, 10376, 17408, 10372, 17736, 17735, 17709, 17710 +15403 , 10375, 10373, 10372, 10374, 17737, 17736, 17710, 17711 +15404 , 10381, 10375, 10374, 17409, 17738, 17737, 17711, 17712 +15405 , 10374, 10375, 10381, 17409, 10371, 10340, 10380, 10833 +15406 , 17434, 10381, 17409, 17410, 17739, 17738, 17712, 17713 +15407 , 17435, 17434, 17410, 17411, 17740, 17739, 17713, 17714 +15408 , 17436, 17435, 17411, 17412, 17741, 17740, 17714, 17715 +15409 , 17437, 17436, 17412, 17413, 17742, 17741, 17715, 17716 +15410 , 14026, 16039, 16042, 14055, 14549, 16131, 16134, 14567 +15411 , 17438, 17437, 17413, 17414, 17743, 17742, 17716, 17717 +15412 , 17439, 17438, 17414, 17415, 17744, 17743, 17717, 17718 +15413 , 17440, 17439, 17415, 17416, 17745, 17744, 17718, 17719 +15414 , 17441, 17440, 17416, 17417, 17746, 17745, 17719, 17721 +15415 , 17443, 17441, 17417, 17418, 17747, 17746, 17721, 17722 +15416 , 17444, 17443, 17418, 17442, 17769, 17747, 17722, 17748 +15417 , 9404, 9405, 9409, 9266, 17442, 17748, 17749, 17445 +15418 , 9266, 9409, 9410, 9269, 17445, 17749, 17772, 17464 +15419 , 9406, 9268, 9271, 9274, 17422, 17446, 17465, 17447 +15420 , 9407, 9406, 9274, 9276, 17423, 17422, 17447, 17448 +15421 , 9408, 9407, 9276, 9411, 17750, 17423, 17448, 17773 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17760, 17759, 17737, 17738 +15438 , 10838, 10383, 10381, 17434, 17761, 17760, 17738, 17739 +15439 , 10381, 10383, 10838, 17434, 10380, 10379, 10835, 10834 +15440 , 10843, 10838, 17434, 17435, 17762, 17761, 17739, 17740 +15441 , 17456, 10843, 17435, 17436, 17763, 17762, 17740, 17741 +15442 , 17457, 17456, 17436, 17437, 17764, 17763, 17741, 17742 +15443 , 17458, 17457, 17437, 17438, 17765, 17764, 17742, 17743 +15444 , 17459, 17458, 17438, 17439, 17766, 17765, 17743, 17744 +15445 , 17460, 17459, 17439, 17440, 17767, 17766, 17744, 17745 +15446 , 17461, 17460, 17440, 17441, 17768, 17767, 17745, 17746 +15447 , 17462, 17461, 17441, 17443, 17770, 17768, 17746, 17747 +15448 , 17463, 17462, 17443, 17444, 17771, 17770, 17747, 17769 +15449 , 17478, 17463, 17444, 17464, 17785, 17771, 17769, 17772 +15450 , 17464, 17444, 17442, 17445, 17772, 17769, 17748, 17749 +15451 , 9269, 9410, 9412, 9272, 17464, 17772, 17785, 17478 +15452 , 9413, 9276, 9277, 9280, 17449, 17448, 17479, 17466 +15453 , 9411, 9276, 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+15485 , 17484, 17483, 17470, 17471, 17790, 17789, 17777, 17778 +15486 , 10403, 17484, 17471, 10394, 17791, 17790, 17778, 17779 +15487 , 10395, 10403, 10394, 10385, 10423, 17791, 17779, 10415 +15488 , 14124, 16051, 16054, 14146, 14603, 16143, 16146, 14615 +15489 , 17485, 10859, 10869, 17472, 17792, 10881, 10889, 17780 +15490 , 17486, 17485, 17472, 17473, 17793, 17792, 17780, 17781 +15491 , 17487, 17486, 17473, 17474, 17794, 17793, 17781, 17782 +15492 , 17488, 17487, 17474, 17475, 17795, 17794, 17782, 17783 +15493 , 17489, 17488, 17475, 17476, 17796, 17795, 17783, 17784 +15494 , 17490, 17489, 17476, 17477, 17808, 17796, 17784, 17786 +15495 , 9278, 9422, 9423, 9282, 17491, 17477, 17490, 17502 +15496 , 9424, 9422, 9278, 9416, 17786, 17477, 17491, 17797 +15497 , 9422, 9424, 9425, 9423, 17477, 17786, 17808, 17490 +15498 , 9426, 9284, 9285, 9287, 17482, 17481, 17503, 17493 +15499 , 9421, 9284, 9426, 9427, 17798, 17481, 17482, 17788 +15500 , 9427, 9426, 9287, 9428, 17788, 17482, 17493, 17809 +15501 , 17495, 17494, 17483, 17484, 17800, 17799, 17789, 17790 +15502 , 17494, 17493, 17482, 17483, 17799, 17809, 17788, 17789 +15503 , 17484, 17495, 10404, 10403, 10356, 10402, 10366, 10357 +15504 , 10404, 17495, 17484, 10403, 17801, 17800, 17790, 17791 +15505 , 10405, 10404, 10403, 10395, 17802, 17801, 17791, 10423 +15506 , 14146, 16054, 16057, 14167, 14615, 16146, 16149, 14627 +15507 , 17496, 10880, 10859, 17485, 17803, 10890, 10881, 17792 +15508 , 17497, 17496, 17485, 17486, 17804, 17803, 17792, 17793 +15509 , 17498, 17497, 17486, 17487, 17805, 17804, 17793, 17794 +15510 , 17499, 17498, 17487, 17488, 17806, 17805, 17794, 17795 +15511 , 17500, 17499, 17488, 17489, 17807, 17806, 17795, 17796 +15512 , 17501, 17500, 17489, 17490, 17830, 17807, 17796, 17808 +15513 , 9282, 9423, 9429, 9286, 17502, 17490, 17501, 17519 +15514 , 9423, 9425, 9430, 9429, 17490, 17808, 17830, 17501 +15515 , 9428, 9287, 9288, 9431, 17809, 17493, 17494, 17799 +15516 , 9431, 9288, 9291, 9432, 17799, 17494, 17522, 17831 +15517 , 17811, 17810, 17495, 10404, 17813, 17812, 17800, 17801 +15518 , 17495, 17810, 17811, 10404, 10402, 17505, 17227, 10366 +15519 , 17495, 17800, 17812, 17810, 17494, 17799, 17831, 17522 +15520 , 10402, 17495, 17810, 17505, 17204, 17494, 17522, 17504 +15521 , 17506, 17811, 10404, 10405, 17814, 17813, 17801, 17802 +15522 , 14167, 16057, 16060, 14189, 14627, 16149, 16152, 14649 +15523 , 17507, 17506, 10405, 10406, 17815, 17814, 17802, 10872 +15524 , 10651, 17507, 10406, 10649, 17816, 17815, 10872, 10873 +15525 , 10653, 10651, 10649, 10643, 17817, 17816, 10873, 10874 +15526 , 10663, 10653, 10643, 10645, 17818, 17817, 10874, 10875 +15527 , 17508, 10663, 10645, 10646, 17819, 17818, 10875, 10876 +15528 , 10645, 10663, 17508, 10646, 10642, 10662, 10664, 10644 +15529 , 17509, 17508, 10646, 10854, 17820, 17819, 10876, 10877 +15530 , 17510, 17509, 10854, 10855, 17821, 17820, 10877, 10878 +15531 , 17511, 17510, 10855, 10857, 17822, 17821, 10878, 10879 +15532 , 17512, 17511, 10857, 10861, 17823, 17822, 10879, 10882 +15533 , 17513, 17512, 10861, 10880, 17824, 17823, 10882, 10890 +15534 , 17514, 17513, 10880, 17496, 17825, 17824, 10890, 17803 +15535 , 7841, 8678, 8683, 7877, 14639, 15658, 15661, 14776 +15536 , 17515, 17514, 17496, 17497, 17826, 17825, 17803, 17804 +15537 , 17516, 17515, 17497, 17498, 17827, 17826, 17804, 17805 +15538 , 17517, 17516, 17498, 17499, 17828, 17827, 17805, 17806 +15539 , 17518, 17517, 17499, 17500, 17829, 17828, 17806, 17807 +15540 , 17520, 17518, 17500, 17501, 17850, 17829, 17807, 17830 +15541 , 9286, 9429, 9302, 9292, 17519, 17501, 17520, 17536 +15542 , 9429, 9430, 9433, 9302, 17501, 17830, 17850, 17520 +15543 , 9432, 9291, 9295, 9434, 17831, 17522, 17537, 17853 +15544 , 17832, 17539, 17810, 17811, 17834, 17833, 17812, 17813 +15545 , 17810, 17539, 17832, 17811, 17505, 17523, 17524, 17227 +15546 , 17810, 17812, 17833, 17539, 17522, 17831, 17853, 17537 +15547 , 17504, 17522, 17810, 17505, 17521, 17537, 17539, 17523 +15548 , 14189, 16060, 16063, 14207, 14649, 16152, 16155, 14670 +15549 , 17542, 17832, 17811, 17506, 17835, 17834, 17813, 17814 +15550 , 17811, 17832, 17542, 17506, 17227, 17524, 17525, 17228 +15551 , 17506, 17814, 17815, 17507, 17542, 17835, 17836, 17543 +15552 , 17228, 17506, 17507, 10647, 17525, 17542, 17543, 17526 +15553 , 17507, 17815, 17816, 10651, 17543, 17836, 17837, 17544 +15554 , 10647, 17507, 10651, 10648, 17526, 17543, 17544, 17527 +15555 , 10651, 17816, 17817, 10653, 17544, 17837, 17838, 17545 +15556 , 10648, 10651, 10653, 10650, 17527, 17544, 17545, 17528 +15557 , 10653, 17817, 17818, 10663, 17545, 17838, 17839, 17546 +15558 , 10650, 10653, 10663, 10662, 17528, 17545, 17546, 12233 +15559 , 10663, 17818, 17819, 17508, 17546, 17839, 17840, 17529 +15560 , 17530, 17529, 17508, 17509, 17841, 17840, 17819, 17820 +15561 , 12090, 17530, 17509, 17510, 17842, 17841, 17820, 17821 +15562 , 12092, 12090, 17510, 17511, 17843, 17842, 17821, 17822 +15563 , 12094, 12092, 17511, 17512, 17844, 17843, 17822, 17823 +15564 , 12096, 12094, 17512, 17513, 17845, 17844, 17823, 17824 +15565 , 17531, 12096, 17513, 17514, 17846, 17845, 17824, 17825 +15566 , 17532, 17531, 17514, 17515, 17847, 17846, 17825, 17826 +15567 , 17533, 17532, 17515, 17516, 17848, 17847, 17826, 17827 +15568 , 17534, 17533, 17516, 17517, 17849, 17848, 17827, 17828 +15569 , 17535, 17534, 17517, 17518, 17851, 17849, 17828, 17829 +15570 , 17547, 17535, 17518, 17520, 17858, 17851, 17829, 17850 +15571 , 9302, 9433, 9435, 9303, 17520, 17850, 17858, 17547 +15572 , 9295, 9304, 9307, 9436, 17537, 17539, 17549, 17852 +15573 , 9434, 9295, 9436, 9437, 17853, 17537, 17852, 17859 +15574 , 14207, 16063, 16066, 14224, 14670, 16155, 16158, 14677 +15575 , 17539, 17833, 17834, 17832, 17549, 17860, 17854, 17550 +15576 , 17832, 17834, 17835, 17542, 17550, 17854, 17863, 17551 +15577 , 17523, 17539, 17832, 17524, 17538, 17549, 17550, 17540 +15578 , 17524, 17832, 17542, 17525, 17540, 17550, 17551, 17541 +15579 , 9309, 9310, 9438, 9311, 17542, 17543, 17855, 17551 +15580 , 9310, 9312, 9439, 9438, 17543, 17544, 17856, 17855 +15581 , 9440, 9312, 9313, 9441, 17837, 17544, 17545, 17838 +15582 , 9312, 9440, 9442, 9439, 17544, 17837, 17865, 17856 +15583 , 9441, 9313, 9314, 9443, 17838, 17545, 17546, 17839 +15584 , 9443, 9314, 9315, 9444, 17839, 17546, 17529, 17840 +15585 , 9444, 9315, 9316, 9445, 17840, 17529, 12139, 12180 +15586 , 17530, 12098, 12091, 12090, 12037, 12038, 12040, 12039 +15587 , 12091, 12098, 17530, 12090, 12142, 12140, 17841, 17842 +15588 , 17530, 17841, 12140, 12098, 17529, 17840, 12180, 12139 +15589 , 12093, 12091, 12090, 12092, 12144, 12142, 17842, 17843 +15590 , 12095, 12093, 12092, 12094, 12146, 12144, 17843, 17844 +15591 , 12097, 12095, 12094, 12096, 12148, 12146, 17844, 17845 +15592 , 12103, 12097, 12096, 17531, 12150, 12148, 17845, 17846 +15593 , 12096, 12097, 12103, 17531, 12045, 12046, 12048, 12047 +15594 , 12106, 12103, 17531, 17532, 12152, 12150, 17846, 17847 +15595 , 12109, 12106, 17532, 17533, 12191, 12152, 17847, 17848 +15596 , 17533, 17848, 17849, 17534, 12109, 12191, 17857, 12154 +15597 , 17857, 17849, 17534, 12154, 17866, 17851, 17535, 17548 +15598 , 9303, 9446, 9321, 9317, 17547, 17535, 17548, 17552 +15599 , 9447, 9446, 9303, 9435, 17851, 17535, 17547, 17858 +15600 , 9446, 9447, 9448, 9321, 17535, 17851, 17866, 17548 +15601 , 9437, 9436, 9307, 9449, 17859, 17852, 17549, 17860 +15602 , 14224, 16066, 16071, 14244, 14677, 16158, 16161, 14687 +15603 , 9449, 9307, 9318, 9450, 17860, 17549, 17550, 17854 +15604 , 9318, 9311, 9451, 9452, 17550, 17551, 17862, 17861 +15605 , 9450, 9318, 9452, 9453, 17854, 17550, 17861, 17867 +15606 , 9454, 9311, 9438, 9455, 17863, 17551, 17855, 17864 +15607 , 9311, 9454, 9456, 9451, 17551, 17863, 17868, 17862 +15608 , 9455, 9438, 9439, 9442, 17864, 17855, 17856, 17865 +15609 , 9460, 9458, 9320, 9461, 12191, 12109, 12154, 17857 +15610 , 9461, 9320, 9321, 9448, 17857, 12154, 17548, 17866 +15611 , 9453, 9452, 9451, 9456, 17867, 17861, 17862, 17868 +15612 , 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18392, 12230, 18554 +16634 , 9870, 9727, 9871, 9873, 18554, 12230, 12215, 18555 +16635 , 9873, 9871, 9874, 9876, 18555, 12215, 12217, 18556 +16636 , 9876, 9874, 9733, 9877, 18556, 12217, 12231, 18557 +16637 , 9877, 9733, 9734, 9878, 18557, 12231, 18393, 18558 +16638 , 9878, 9734, 9736, 9867, 18558, 18393, 18394, 18561 +16639 , 9756, 9755, 9757, 9881, 18403, 18402, 18408, 18409 +16640 , 9758, 9756, 9881, 9761, 18404, 18403, 18409, 18411 +16641 , 10964, 10883, 16206, 14994, 10934, 10804, 10807, 10936 +16642 , 9768, 9767, 9769, 9882, 18406, 18405, 18414, 18415 +16643 , 9770, 9768, 9882, 9883, 18407, 18406, 18415, 18416 +16644 , 9757, 9770, 9883, 9884, 18408, 18407, 18416, 18418 +16645 , 9881, 9757, 9884, 9885, 18409, 18408, 18418, 18410 +16646 , 9761, 9881, 9885, 9886, 18411, 18409, 18410, 18421 +16647 , 9771, 9761, 9886, 9887, 18412, 18411, 18421, 18423 +16648 , 9772, 9771, 9887, 9775, 18413, 18412, 18423, 18426 +16649 , 9882, 9769, 9781, 9888, 18415, 18414, 18428, 18417 +16650 , 9883, 9882, 9888, 9889, 18416, 18415, 18417, 18419 +16651 , 9884, 9883, 9889, 9890, 18418, 18416, 18419, 18420 +16652 , 9885, 9884, 9890, 9891, 18410, 18418, 18420, 18422 +16653 , 9886, 9885, 9891, 9892, 18421, 18410, 18422, 18424 +16654 , 9887, 9886, 9892, 9893, 18423, 18421, 18424, 18425 +16655 , 9775, 9887, 9893, 9894, 18426, 18423, 18425, 18434 +16656 , 9782, 9775, 9894, 9785, 18427, 18426, 18434, 18437 +16657 , 9888, 9781, 9791, 9895, 18417, 18428, 18440, 18429 +16658 , 9889, 9888, 9895, 9896, 18419, 18417, 18429, 18430 +16659 , 14994, 16206, 16209, 14995, 10936, 10807, 10886, 10938 +16660 , 9890, 9889, 9896, 9897, 18420, 18419, 18430, 18431 +16661 , 9891, 9890, 9897, 9898, 18422, 18420, 18431, 18432 +16662 , 9892, 9891, 9898, 9899, 18424, 18422, 18432, 18433 +16663 , 9892, 9900, 9901, 9893, 18424, 18562, 18563, 18425 +16664 , 9900, 9892, 9899, 9902, 18562, 18424, 18433, 18568 +16665 , 9893, 9901, 9903, 9894, 18425, 18563, 18564, 18434 +16666 , 9894, 9903, 9904, 9785, 18434, 18564, 18565, 18437 +16667 , 9792, 9785, 9905, 9906, 18438, 18437, 18447, 18449 +16668 , 9785, 9904, 9907, 9905, 18437, 18565, 18573, 18447 +16669 , 9793, 9792, 9906, 9795, 18439, 18438, 18449, 18452 +16670 , 9895, 9791, 9801, 9908, 18429, 18440, 18456, 18441 +16671 , 9896, 9895, 9908, 9909, 18430, 18429, 18441, 18442 +16672 , 9897, 9896, 9909, 9910, 18431, 18430, 18442, 18443 +16673 , 9897, 9911, 9912, 9898, 18431, 18566, 18567, 18432 +16674 , 9911, 9897, 9910, 9913, 18566, 18431, 18443, 18575 +16675 , 9898, 9912, 9902, 9899, 18432, 18567, 18568, 18433 +16676 , 18448, 18446, 18435, 18436, 18572, 18571, 18569, 18570 +16677 , 18436, 18435, 18425, 18434, 18570, 18569, 18563, 18564 +16678 , 18446, 18445, 18433, 18435, 18571, 18577, 18568, 18569 +16679 , 18435, 18433, 18424, 18425, 18569, 18568, 18562, 18563 +16680 , 18450, 18448, 18436, 18447, 18581, 18572, 18570, 18573 +16681 , 18447, 18436, 18434, 18437, 18573, 18570, 18564, 18565 +16682 , 9905, 9907, 9914, 9906, 18447, 18573, 18574, 18449 +16683 , 9795, 9906, 9915, 9916, 18452, 18449, 18451, 18465 +16684 , 9906, 9914, 9917, 9915, 18449, 18574, 18584, 18451 +16685 , 9802, 9795, 9916, 9804, 18453, 18452, 18465, 18468 +16686 , 14995, 16209, 16212, 15001, 10938, 10886, 10993, 10962 +16687 , 9810, 9809, 9811, 9918, 18455, 18454, 18470, 18471 +16688 , 9801, 9810, 9918, 9919, 18456, 18455, 18471, 18472 +16689 , 9908, 9801, 9919, 9920, 18441, 18456, 18472, 18457 +16690 , 9909, 9908, 9920, 9921, 18442, 18441, 18457, 18458 +16691 , 9910, 9909, 9921, 9922, 18443, 18442, 18458, 18459 +16692 , 9913, 9910, 9922, 9923, 18575, 18443, 18459, 18585 +16693 , 18445, 18444, 18432, 18433, 18577, 18576, 18567, 18568 +16694 , 18461, 18460, 18444, 18445, 18579, 18578, 18576, 18577 +16695 , 18444, 18443, 18431, 18432, 18576, 18575, 18566, 18567 +16696 , 18460, 18459, 18443, 18444, 18578, 18585, 18575, 18576 +16697 , 18462, 18461, 18445, 18446, 18580, 18579, 18577, 18571 +16698 , 18463, 18462, 18446, 18448, 18582, 18580, 18571, 18572 +16699 , 18464, 18463, 18448, 18450, 18583, 18582, 18572, 18581 +16700 , 18466, 18464, 18450, 18451, 18588, 18583, 18581, 18584 +16701 , 18451, 18450, 18447, 18449, 18584, 18581, 18573, 18574 +16702 , 9916, 9915, 9924, 9925, 18465, 18451, 18466, 18467 +16703 , 9915, 9917, 9926, 9924, 18451, 18584, 18588, 18466 +16704 , 9804, 9916, 9925, 9927, 18468, 18465, 18467, 18484 +16705 , 9812, 9804, 9927, 9814, 18469, 18468, 18484, 18487 +16706 , 9918, 9811, 9817, 9824, 18471, 18470, 18488, 18473 +16707 , 9919, 9918, 9824, 9928, 18472, 18471, 18473, 18474 +16708 , 9920, 9919, 9928, 9929, 18457, 18472, 18474, 18475 +16709 , 9921, 9920, 9929, 9930, 18458, 18457, 18475, 18476 +16710 , 15001, 16212, 16215, 15026, 10962, 10993, 16273, 15452 +16711 , 9922, 9921, 9930, 9931, 18459, 18458, 18476, 18477 +16712 , 9932, 9922, 9931, 9933, 18460, 18459, 18477, 18478 +16713 , 9923, 9922, 9932, 9934, 18585, 18459, 18460, 18578 +16714 , 9935, 9932, 9933, 9936, 18461, 18460, 18478, 18479 +16715 , 9934, 9932, 9935, 9937, 18578, 18460, 18461, 18579 +16716 , 9937, 9935, 9936, 9938, 18579, 18461, 18479, 18590 +16717 , 18481, 18480, 18462, 18463, 18587, 18586, 18580, 18582 +16718 , 18480, 18479, 18461, 18462, 18586, 18590, 18579, 18580 +16719 , 18482, 18481, 18463, 18464, 18589, 18587, 18582, 18583 +16720 , 18483, 18482, 18464, 18466, 18593, 18589, 18583, 18588 +16721 , 9925, 9924, 9939, 9940, 18467, 18466, 18483, 18485 +16722 , 9924, 9926, 9941, 9939, 18466, 18588, 18593, 18483 +16723 , 9927, 9925, 9940, 9942, 18484, 18467, 18485, 18486 +16724 , 9814, 9927, 9942, 9819, 18487, 18484, 18486, 18500 +16725 , 9928, 9824, 9825, 9943, 18474, 18473, 18502, 18489 +16726 , 9929, 9928, 9943, 9944, 18475, 18474, 18489, 18490 +16727 , 9930, 9929, 9944, 9945, 18476, 18475, 18490, 18491 +16728 , 9931, 9930, 9945, 9946, 18477, 18476, 18491, 18492 +16729 , 9933, 9931, 9946, 9947, 18478, 18477, 18492, 18493 +16730 , 9936, 9933, 9947, 9948, 18479, 18478, 18493, 18494 +16731 , 9938, 9936, 9948, 9949, 18590, 18479, 18494, 18596 +16732 , 18496, 18495, 18480, 18481, 18592, 18591, 18586, 18587 +16733 , 18495, 18494, 18479, 18480, 18591, 18596, 18590, 18586 +16734 , 15026, 16215, 16218, 15049, 15452, 16273, 16276, 15462 +16735 , 18497, 18496, 18481, 18482, 18599, 18592, 18587, 18589 +16736 , 9939, 9950, 9951, 9952, 18483, 18482, 18497, 18498 +16737 , 9953, 9950, 9939, 9941, 18589, 18482, 18483, 18593 +16738 , 9950, 9953, 9954, 9951, 18482, 18589, 18599, 18497 +16739 , 9940, 9939, 9952, 9955, 18485, 18483, 18498, 18499 +16740 , 9942, 9940, 9955, 9835, 18486, 18485, 18499, 18501 +16741 , 9819, 9942, 9835, 9827, 18500, 18486, 18501, 18514 +16742 , 9943, 9825, 9831, 9842, 18489, 18502, 18515, 18503 +16743 , 9944, 9943, 9842, 9956, 18490, 18489, 18503, 18504 +16744 , 9945, 9944, 9956, 9957, 18491, 18490, 18504, 18505 +16745 , 9946, 9945, 9957, 9958, 18492, 18491, 18505, 18506 +16746 , 9946, 9959, 9960, 9947, 18492, 18594, 18595, 18493 +16747 , 9959, 9946, 9958, 9961, 18594, 18492, 18506, 18601 +16748 , 9947, 9960, 9949, 9948, 18493, 18595, 18596, 18494 +16749 , 18510, 18509, 18495, 18496, 18598, 18597, 18591, 18592 +16750 , 18509, 18508, 18494, 18495, 18597, 18603, 18596, 18591 +16751 , 18511, 18510, 18496, 18497, 18607, 18598, 18592, 18599 +16752 , 9951, 9954, 9962, 9952, 18497, 18599, 18600, 18498 +16753 , 9955, 9952, 9963, 9964, 18499, 18498, 18512, 18513 +16754 , 9952, 9962, 9965, 9963, 18498, 18600, 18609, 18512 +16755 , 9835, 9955, 9964, 9836, 18501, 18499, 18513, 18526 +16756 , 15049, 16218, 16221, 15067, 15462, 16276, 16279, 15477 +16757 , 9956, 9842, 9843, 9966, 18504, 18503, 18527, 18516 +16758 , 9957, 9956, 9966, 9967, 18505, 18504, 18516, 18517 +16759 , 9958, 9957, 9967, 9968, 18506, 18505, 18517, 18518 +16760 , 9961, 9958, 9968, 9969, 18601, 18506, 18518, 18611 +16761 , 18520, 18519, 18507, 18508, 18605, 18604, 18602, 18603 +16762 , 18508, 18507, 18493, 18494, 18603, 18602, 18595, 18596 +16763 , 18519, 18518, 18506, 18507, 18604, 18611, 18601, 18602 +16764 , 18507, 18506, 18492, 18493, 18602, 18601, 18594, 18595 +16765 , 18521, 18520, 18508, 18509, 18606, 18605, 18603, 18597 +16766 , 18522, 18521, 18509, 18510, 18608, 18606, 18597, 18598 +16767 , 18523, 18522, 18510, 18511, 18610, 18608, 18598, 18607 +16768 , 18512, 18511, 18497, 18498, 18609, 18607, 18599, 18600 +16769 , 18524, 18523, 18511, 18512, 18615, 18610, 18607, 18609 +16770 , 9964, 9963, 9970, 9971, 18513, 18512, 18524, 18525 +16771 , 9963, 9965, 9972, 9970, 18512, 18609, 18615, 18524 +16772 , 9836, 9964, 9971, 9845, 18526, 18513, 18525, 18538 +16773 , 9966, 9843, 9850, 9973, 18516, 18527, 18539, 18528 +16774 , 9967, 9966, 9973, 9974, 18517, 18516, 18528, 18529 +16775 , 9968, 9967, 9974, 9975, 18518, 18517, 18529, 18530 +16776 , 9969, 9968, 9975, 9976, 18611, 18518, 18530, 18616 +16777 , 18532, 18531, 18519, 18520, 18613, 18612, 18604, 18605 +16778 , 18531, 18530, 18518, 18519, 18612, 18616, 18611, 18604 +16779 , 18533, 18532, 18520, 18521, 18614, 18613, 18605, 18606 +16780 , 18534, 18533, 18521, 18522, 18617, 18614, 18606, 18608 +16781 , 15067, 16221, 16224, 15084, 15477, 16279, 16282, 15481 +16782 , 9977, 9978, 9979, 9980, 18523, 18522, 18534, 18535 +16783 , 9981, 9978, 9977, 9982, 18608, 18522, 18523, 18610 +16784 , 9978, 9981, 9983, 9979, 18522, 18608, 18617, 18534 +16785 , 9970, 9977, 9980, 9984, 18524, 18523, 18535, 18536 +16786 , 9982, 9977, 9970, 9972, 18610, 18523, 18524, 18615 +16787 , 9971, 9970, 9984, 9985, 18525, 18524, 18536, 18537 +16788 , 9845, 9971, 9985, 9852, 18538, 18525, 18537, 18549 +16789 , 9973, 9850, 9856, 9861, 18528, 18539, 18551, 18540 +16790 , 9974, 9973, 9861, 9863, 18529, 18528, 18540, 18541 +16791 , 9975, 9974, 9863, 9986, 18530, 18529, 18541, 18542 +16792 , 9987, 9975, 9986, 9988, 18531, 18530, 18542, 18543 +16793 , 9976, 9975, 9987, 9989, 18616, 18530, 18531, 18612 +16794 , 9990, 9987, 9988, 9991, 18532, 18531, 18543, 18544 +16795 , 9989, 9987, 9990, 9992, 18612, 18531, 18532, 18613 +16796 , 9993, 9990, 9991, 9994, 18533, 18532, 18544, 18545 +16797 , 9992, 9990, 9993, 9995, 18613, 18532, 18533, 18614 +16798 , 9979, 9993, 9994, 9996, 18534, 18533, 18545, 18546 +16799 , 9995, 9993, 9979, 9983, 18614, 18533, 18534, 18617 +16800 , 9980, 9979, 9996, 9997, 18535, 18534, 18546, 18547 +16801 , 9984, 9980, 9997, 9998, 18536, 18535, 18547, 18548 +16802 , 9985, 9984, 9998, 9866, 18537, 18536, 18548, 18550 +16803 , 9852, 9985, 9866, 9858, 18549, 18537, 18550, 18559 +16804 , 9986, 9863, 9864, 9868, 18542, 18541, 18560, 18552 +16805 , 9988, 9986, 9868, 9869, 18543, 18542, 18552, 18553 +16806 , 15084, 16224, 16227, 15105, 15481, 16282, 16285, 15484 +16807 , 15483, 15399, 15482, 12261, 15686, 15677, 15619, 15608 +16808 , 9991, 9988, 9869, 9870, 18544, 18543, 18553, 18554 +16809 , 15677, 15686, 15483, 15399, 15689, 15695, 13251, 13225 +16810 , 9994, 9991, 9870, 9873, 18545, 18544, 18554, 18555 +16811 , 9996, 9994, 9873, 9876, 18546, 18545, 18555, 18556 +16812 , 9997, 9996, 9876, 9877, 18547, 18546, 18556, 18557 +16813 , 9998, 9997, 9877, 9878, 18548, 18547, 18557, 18558 +16814 , 9866, 9998, 9878, 9867, 18550, 18548, 18558, 18561 +16815 , 15613, 8630, 7607, 15254, 15616, 8638, 8473, 15400 +16816 , 9901, 9900, 9902, 9999, 18563, 18562, 18568, 18569 +16817 , 9903, 9901, 9999, 10000, 18564, 18563, 18569, 18570 +16818 , 9904, 9903, 10000, 9907, 18565, 18564, 18570, 18573 +16819 , 15105, 16227, 16230, 15125, 15484, 16285, 16288, 15485 +16820 , 9912, 9911, 9913, 10001, 18567, 18566, 18575, 18576 +16821 , 9902, 9912, 10001, 10002, 18568, 18567, 18576, 18577 +16822 , 9999, 9902, 10002, 10003, 18569, 18568, 18577, 18571 +16823 , 10000, 9999, 10003, 10004, 18570, 18569, 18571, 18572 +16824 , 9907, 10000, 10004, 10005, 18573, 18570, 18572, 18581 +16825 , 9914, 9907, 10005, 9917, 18574, 18573, 18581, 18584 +16826 , 10001, 9913, 9923, 9934, 18576, 18575, 18585, 18578 +16827 , 10002, 10001, 9934, 9937, 18577, 18576, 18578, 18579 +16828 , 10003, 10002, 9937, 10006, 18571, 18577, 18579, 18580 +16829 , 10004, 10003, 10006, 10007, 18572, 18571, 18580, 18582 +16830 , 10005, 10004, 10007, 10008, 18581, 18572, 18582, 18583 +16831 , 9917, 10005, 10008, 9926, 18584, 18581, 18583, 18588 +16832 , 10006, 9937, 9938, 10009, 18580, 18579, 18590, 18586 +16833 , 10007, 10006, 10009, 10010, 18582, 18580, 18586, 18587 +16834 , 10008, 10007, 10010, 9953, 18583, 18582, 18587, 18589 +16835 , 15125, 16230, 16233, 15142, 15485, 16288, 16291, 15486 +16836 , 9926, 10008, 9953, 9941, 18588, 18583, 18589, 18593 +16837 , 10009, 9938, 9949, 10011, 18586, 18590, 18596, 18591 +16838 , 10010, 10009, 10011, 10012, 18587, 18586, 18591, 18592 +16839 , 9953, 10010, 10012, 9954, 18589, 18587, 18592, 18599 +16840 , 9960, 9959, 9961, 10013, 18595, 18594, 18601, 18602 +16841 , 9949, 9960, 10013, 10014, 18596, 18595, 18602, 18603 +16842 , 10011, 9949, 10014, 10015, 18591, 18596, 18603, 18597 +16843 , 10012, 10011, 10015, 10016, 18592, 18591, 18597, 18598 +16844 , 9954, 10012, 10016, 10017, 18599, 18592, 18598, 18607 +16845 , 9962, 9954, 10017, 9965, 18600, 18599, 18607, 18609 +16846 , 10013, 9961, 9969, 10018, 18602, 18601, 18611, 18604 +16847 , 10014, 10013, 10018, 10019, 18603, 18602, 18604, 18605 +16848 , 10015, 10014, 10019, 10020, 18597, 18603, 18605, 18606 +16849 , 10016, 10015, 10020, 9981, 18598, 18597, 18606, 18608 +16850 , 10017, 10016, 9981, 9982, 18607, 18598, 18608, 18610 +16851 , 9965, 10017, 9982, 9972, 18609, 18607, 18610, 18615 +16852 , 15142, 16233, 16236, 15159, 15486, 16291, 16294, 15487 +16853 , 10018, 9969, 9976, 9989, 18604, 18611, 18616, 18612 +16854 , 10019, 10018, 9989, 9992, 18605, 18604, 18612, 18613 +16855 , 10020, 10019, 9992, 9995, 18606, 18605, 18613, 18614 +16856 , 9981, 10020, 9995, 9983, 18608, 18606, 18614, 18617 +16857 , 15159, 16236, 16239, 15178, 15487, 16294, 16297, 15492 +16858 , 15619, 15616, 15400, 15482, 8634, 8638, 8473, 7044 +16859 , 12261, 15608, 15624, 12935, 15483, 15686, 15692, 15488 +16860 , 12935, 15624, 15628, 13285, 15488, 15692, 15699, 15489 +16861 , 13285, 15628, 15631, 13437, 15489, 15699, 15705, 15490 +16862 , 13437, 15631, 15634, 13613, 15490, 15705, 15622, 15491 +16863 , 13613, 15634, 15637, 13683, 15491, 15622, 15595, 12246 +16864 , 13683, 15637, 15641, 13897, 12246, 15595, 15600, 12295 +16865 , 13897, 15641, 15644, 14007, 12295, 15600, 15670, 12383 +16866 , 15178, 16239, 16241, 15198, 15492, 16297, 16300, 15495 +16867 , 14007, 15644, 15648, 14173, 12383, 15670, 15722, 12454 +16868 , 14173, 15648, 15650, 14322, 12454, 15722, 15726, 12525 +16869 , 15726, 15722, 15648, 15650, 15649, 15646, 15642, 15645 +16870 , 14477, 15654, 15658, 14639, 12950, 15741, 15754, 12990 +16871 , 15754, 15741, 15654, 15658, 15656, 15653, 15651, 15652 +16872 , 14639, 15658, 15661, 14776, 12990, 15754, 15749, 13020 +16873 , 14776, 15661, 15663, 14962, 13020, 15749, 15750, 13081 +16874 , 12599, 15730, 15726, 12525, 8486, 8691, 8672, 7739 +16875 , 15493, 15732, 15730, 12599, 7158, 8695, 8691, 8486 +16876 , 15198, 16241, 16302, 15494, 15495, 16300, 16358, 15498 +16877 , 12900, 15739, 15737, 15496, 8494, 8703, 8702, 7181 +16878 , 12950, 15741, 15739, 12900, 7842, 8679, 8703, 8494 +16879 , 16302, 16244, 15199, 15494, 16305, 16247, 15235, 15497 +16880 , 15494, 16302, 16305, 15497, 15498, 16358, 16364, 15501 +16881 , 16305, 16302, 16244, 16247, 16246, 16242, 16169, 16245 +16882 , 14287, 16084, 16086, 14296, 14726, 16174, 16178, 14748 +16883 , 16305, 8768, 8164, 15497, 16364, 8778, 8474, 15501 +16884 , 16250, 16179, 15252, 15248, 16308, 16315, 15500, 15499 +16885 , 16315, 16308, 16250, 16179, 16251, 16248, 16172, 16175 +16886 , 16368, 15502, 15499, 16308, 8782, 8475, 8170, 8773 +16887 , 15499, 15502, 16368, 16308, 15500, 15505, 16372, 16315 +16888 , 16364, 16424, 15503, 15501, 16358, 16363, 15507, 15498 +16889 , 15503, 16424, 16364, 15501, 8476, 8785, 8778, 8474 +16890 , 16427, 15504, 15502, 16368, 8788, 8477, 8475, 8782 +16891 , 15502, 15504, 16427, 16368, 15505, 15509, 16374, 16372 +16892 , 16424, 16480, 15506, 15503, 16363, 16422, 15511, 15507 +16893 , 15506, 16480, 16424, 15503, 8478, 8791, 8785, 8476 +16894 , 15504, 15508, 16481, 16427, 15509, 15512, 16484, 16374 +16895 , 16481, 15508, 15504, 16427, 8796, 8479, 8477, 8788 +16896 , 16484, 16481, 16427, 16374, 16428, 16425, 16366, 16369 +16897 , 16480, 16532, 15510, 15506, 16422, 16478, 15517, 15511 +16898 , 15510, 16532, 16480, 15506, 8487, 8800, 8791, 8478 +16899 , 16484, 15512, 15508, 16481, 8801, 8488, 8479, 8796 +16900 , 15512, 15513, 16534, 16484, 15514, 15518, 16487, 16432 +16901 , 16534, 15513, 15512, 16484, 8804, 8489, 8488, 8801 +16902 , 16484, 16374, 15509, 15512, 16432, 16377, 15558, 15514 +16903 , 10427, 10925, 10928, 10983, 8810, 8484, 8490, 8809 +16904 , 10983, 16545, 15515, 10928, 10989, 16506, 15526, 10951 +16905 , 15515, 16545, 10983, 10928, 8491, 8811, 8809, 8490 +16906 , 10427, 10270, 10310, 10983, 10268, 10265, 10262, 10884 +16907 , 15500, 16315, 16255, 15255, 15505, 16372, 16314, 15529 +16908 , 15686, 15692, 15488, 15483, 15695, 15701, 13277, 13251 +16909 , 16532, 16565, 15516, 15510, 16478, 16530, 15528, 15517 +16910 , 15516, 16565, 16532, 15510, 8495, 8821, 8800, 8487 +16911 , 16487, 15518, 15513, 16534, 8824, 8496, 8489, 8804 +16912 , 15518, 15519, 16490, 16487, 15514, 15521, 16435, 16432 +16913 , 16490, 15519, 15518, 16487, 8827, 8497, 8496, 8824 +16914 , 15519, 15520, 16494, 16490, 15521, 15523, 16438, 16435 +16915 , 16494, 15520, 15519, 16490, 8830, 8498, 8497, 8827 +16916 , 15520, 15522, 16566, 16494, 15524, 15530, 16568, 16497 +16917 , 16566, 15522, 15520, 16494, 8835, 8499, 8498, 8830 +16918 , 16494, 16438, 15523, 15520, 16497, 16441, 15571, 15524 +16919 , 16568, 16566, 16494, 16497, 16536, 16535, 16489, 16492 +16920 , 16545, 16570, 15525, 15515, 16506, 16546, 15534, 15526 +16921 , 15525, 16570, 16545, 15515, 8500, 8841, 8811, 8491 +16922 , 15516, 16565, 16581, 15527, 15528, 16530, 16562, 15536 +16923 , 16581, 16565, 15516, 15527, 8852, 8821, 8495, 8503 +16924 , 15255, 16255, 16258, 15261, 15529, 16314, 16318, 15539 +16925 , 16568, 15530, 15522, 16566, 8853, 8504, 8499, 8835 +16926 , 15530, 15531, 16539, 16568, 15524, 15533, 16500, 16497 +16927 , 16539, 15531, 15530, 16568, 8856, 8505, 8504, 8853 +16928 , 15531, 15532, 16543, 16539, 15533, 15535, 16503, 16500 +16929 , 16543, 15532, 15531, 16539, 8859, 8506, 8505, 8856 +16930 , 15532, 15534, 16546, 16543, 15535, 15526, 16506, 16503 +16931 , 16546, 15534, 15532, 16543, 8862, 8507, 8506, 8859 +16932 , 16570, 15525, 15534, 16546, 8841, 8500, 8507, 8862 +16933 , 16562, 16581, 15527, 15536, 10025, 8852, 8503, 8512 +16934 , 15536, 16562, 16582, 15537, 15538, 16560, 16580, 15541 +16935 , 16582, 16562, 15536, 15537, 8884, 10025, 8512, 8513 +16936 , 15528, 16530, 16562, 15536, 15586, 16527, 16560, 15538 +16937 , 16562, 16582, 16594, 16581, 10025, 8884, 8874, 8852 +16938 , 15261, 16258, 16261, 15282, 15539, 16318, 16321, 15546 +16939 , 15537, 16582, 16598, 15540, 15541, 16580, 16592, 15543 +16940 , 16598, 16582, 15537, 15540, 8887, 8884, 8513, 8516 +16941 , 15540, 16598, 16603, 15542, 15543, 16592, 16599, 15544 +16942 , 16603, 16598, 15540, 15542, 8895, 8887, 8516, 8518 +16943 , 16599, 16603, 15542, 15544, 8903, 8895, 8518, 8520 +16944 , 15544, 16599, 16605, 15545, 11777, 11906, 12232, 11720 +16945 , 16605, 16599, 15544, 15545, 8906, 8903, 8520, 8521 +16946 , 15543, 16592, 16599, 15544, 11772, 12237, 11906, 11777 +16947 , 15282, 16261, 16264, 15296, 15546, 16321, 16324, 15547 +16948 , 12232, 16605, 15545, 11720, 8916, 8906, 8521, 8523 +16949 , 15296, 16264, 16267, 15311, 15547, 16324, 16327, 15548 +16950 , 15311, 16267, 10981, 10930, 15548, 16327, 10985, 10940 +16951 , 15692, 15699, 15489, 15488, 15701, 15707, 13296, 13277 +16952 , 10962, 10993, 16273, 15452, 10945, 10968, 10987, 10960 +16953 , 15452, 16273, 16276, 15462, 10960, 10987, 16334, 15549 +16954 , 15462, 16276, 16279, 15477, 15549, 16334, 16337, 15550 +16955 , 15477, 16279, 16282, 15481, 15550, 16337, 16340, 15551 +16956 , 15699, 15705, 15490, 15489, 15707, 15711, 13308, 13296 +16957 , 15481, 16282, 16285, 15484, 15551, 16340, 16343, 15552 +16958 , 15484, 16285, 16288, 15485, 15552, 16343, 16346, 15553 +16959 , 15485, 16288, 16291, 15486, 15553, 16346, 16349, 15554 +16960 , 15486, 16291, 16294, 15487, 15554, 16349, 16352, 15555 +16961 , 15487, 16294, 16297, 15492, 15555, 16352, 16355, 15556 +16962 , 15492, 16297, 16300, 15495, 15556, 16355, 16360, 15557 +16963 , 15495, 16300, 16358, 15498, 15557, 16360, 16363, 15507 +16964 , 15705, 15622, 15491, 15490, 15711, 15596, 12248, 13308 +16965 , 15505, 16372, 16314, 15529, 15509, 16374, 16377, 15558 +16966 , 15529, 16314, 16318, 15539, 15558, 16377, 16380, 15559 +16967 , 15539, 16318, 16321, 15546, 15559, 16380, 16383, 15560 +16968 , 15546, 16321, 16324, 15547, 15560, 16383, 16386, 15561 +16969 , 15547, 16324, 16327, 15548, 15561, 16386, 16389, 15562 +16970 , 15548, 16327, 10985, 10940, 15562, 16389, 10988, 10949 +16971 , 17551, 17862, 17861, 17550, 17863, 17868, 17867, 17854 +16972 , 17868, 17867, 17854, 17863, 18159, 18158, 18142, 18143 +16973 , 10960, 10987, 16334, 15549, 10953, 10971, 10991, 10959 +16974 , 15549, 16334, 16337, 15550, 10959, 10991, 16398, 15563 +16975 , 15550, 16337, 16340, 15551, 15563, 16398, 16401, 15564 +16976 , 15551, 16340, 16343, 15552, 15564, 16401, 16404, 15565 +16977 , 15552, 16343, 16346, 15553, 15565, 16404, 16407, 15566 +16978 , 15553, 16346, 16349, 15554, 15566, 16407, 16410, 15567 +16979 , 15554, 16349, 16352, 15555, 15567, 16410, 16413, 15568 +16980 , 15555, 16352, 16355, 15556, 15568, 16413, 16416, 15569 +16981 , 15556, 16355, 16360, 15557, 15569, 16416, 16419, 15570 +16982 , 15557, 16360, 16363, 15507, 15570, 16419, 16422, 15511 +16983 , 15558, 16377, 16380, 15559, 15514, 16432, 16435, 15521 +16984 , 15559, 16380, 16383, 15560, 15521, 16435, 16438, 15523 +16985 , 15560, 16383, 16386, 15561, 15523, 16438, 16441, 15571 +16986 , 15561, 16386, 16389, 15562, 15571, 16441, 16444, 15572 +16987 , 15562, 16389, 10988, 10949, 15572, 16444, 16447, 15573 +16988 , 16447, 10988, 10949, 15573, 10989, 10986, 10942, 10951 +16989 , 10959, 10991, 16398, 15563, 10958, 10990, 16454, 15574 +16990 , 15563, 16398, 16401, 15564, 15574, 16454, 16457, 15575 +16991 , 15564, 16401, 16404, 15565, 15575, 16457, 16460, 15576 +16992 , 15565, 16404, 16407, 15566, 15576, 16460, 16463, 15577 +16993 , 15566, 16407, 16410, 15567, 15577, 16463, 16466, 15578 +16994 , 15567, 16410, 16413, 15568, 15578, 16466, 16469, 15579 +16995 , 15568, 16413, 16416, 15569, 15579, 16469, 16472, 15580 +16996 , 15569, 16416, 16419, 15570, 15580, 16472, 16475, 15581 +16997 , 15570, 16419, 16422, 15511, 15581, 16475, 16478, 15517 +16998 , 15571, 16441, 16444, 15572, 15524, 16497, 16500, 15533 +16999 , 15572, 16444, 16447, 15573, 15533, 16500, 16503, 15535 +17000 , 15573, 16447, 10989, 10951, 15535, 16503, 16506, 15526 +17001 , 10958, 10990, 16454, 15574, 11782, 11791, 11794, 11740 +17002 , 15574, 16454, 16457, 15575, 11740, 11794, 11799, 11742 +17003 , 15575, 16457, 16460, 15576, 11742, 11799, 12234, 11781 +17004 , 15576, 16460, 16463, 15577, 11781, 12234, 16515, 15582 +17005 , 15577, 16463, 16466, 15578, 15582, 16515, 16518, 15583 +17006 , 15578, 16466, 16469, 15579, 15583, 16518, 16521, 15584 +17007 , 15579, 16469, 16472, 15580, 15584, 16521, 16524, 15585 +17008 , 15580, 16472, 16475, 15581, 15585, 16524, 16527, 15586 +17009 , 15581, 16475, 16478, 15517, 15586, 16527, 16530, 15528 +17010 , 11781, 12234, 16515, 15582, 11748, 11818, 11827, 11751 +17011 , 15582, 16515, 16518, 15583, 11751, 11827, 12235, 11780 +17012 , 15583, 16518, 16521, 15584, 11780, 12235, 16554, 15587 +17013 , 15584, 16521, 16524, 15585, 15587, 16554, 16557, 15588 +17014 , 15585, 16524, 16527, 15586, 15588, 16557, 16560, 15538 +17015 , 11780, 12235, 16554, 15587, 11759, 11850, 12236, 11763 +17016 , 15587, 16554, 16557, 15588, 11763, 12236, 16577, 15589 +17017 , 15588, 16557, 16560, 15538, 15589, 16577, 16580, 15541 +17018 , 11763, 12236, 16577, 15589, 11764, 11877, 12237, 11772 +17019 , 15589, 16577, 16580, 15541, 11772, 12237, 16592, 15543 +17020 , 11968, 10591, 10586, 12035, 11195, 10584, 10583, 11202 +17021 , 10797, 16328, 16390, 10262, 10815, 10984, 10986, 10884 +17022 , 16268, 16328, 10797, 10796, 10982, 10984, 10815, 10885 +17023 , 11184, 11174, 10570, 10635, 10658, 10579, 10573, 10638 +17024 , 10635, 11184, 11804, 10636, 11176, 11185, 11261, 11267 +17025 , 11267, 10636, 11792, 11791, 11261, 11804, 11795, 11796 +17026 , 11187, 11182, 11174, 11184, 11830, 10584, 10579, 10658 +17027 , 10954, 10972, 10973, 10955, 11134, 11176, 11267, 15590 +17028 , 10955, 10973, 10990, 10958, 15590, 11267, 11791, 11782 +17029 , 11134, 11176, 11267, 15590, 11138, 11185, 11261, 11143 +17030 , 15590, 11267, 11791, 11782, 11143, 11261, 11796, 11745 diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 7cc166d6..0f81a00b 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -36,18 +36,19 @@ int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; -bool RI = false; +bool RI = true; double dynamicDamping = 0.000; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-8; // Set for max runtime of around 5 hrs on aws -double MaxTimeStep = 1e-7; +double MaxTimeStep = 1e-5; int nPlotSteps = 50; -int nWriteSteps = 2000; +int nWriteSteps = 100; /* Global variables used only in this file */ int nodeIDtoPlot; bool rankForCustomPlot; +bool outputRelativeDisplacement = true; /* Global variables for bc */ int *boundaryID = NULL; int boundarySize; @@ -62,7 +63,6 @@ int outputElemCount = 0; MPI_Comm output_comm; MPI_File outputFilePtr; int output_size, output_rank; -double *outputNodeRigidDisp; double *outputElemStress; /* Variables for injury metrics */ @@ -137,6 +137,10 @@ double *linAccXv, *linAccYv, *linAccZv; double *angAccXt, *angAccYt, *angAccZt; double *angAccXv, *angAccYv, *angAccZv; +/* Local co-ordinate system rotating with the skull for comparison with Hardy's + * data. Use first 3 index to store x unit vector, next 3 for y unit vector */ +double unitVec[9], rigidTranslation[3], velocities_half_unit[9], displacements_unit[9], velocities_unit[9], acceleration_unit[9], normVec[9], rotmat[9], invrotmat[9]; + /* Varibles for Local integrator */ const int nIntVar = 12; typedef boost::array state_type; @@ -244,12 +248,13 @@ int main(int argc, char **argv) { while (Time < tMax) { t_n = Time; double t_np1 = Time + dt; - Time = t_np1; /*Update the time by adding full time step */ double dtby2 = 0.5*dt; double t_nphalf = t_n + dtby2; // equ 6.2.1 /* Step 6 Enforce boundary Conditions */ ApplyAccBoundaryConditions(); +//printf("%.10f %.10f %.10f\n", unitVec[3], unitVec[4], unitVec[5]); + Time = t_np1; /*Update the time by adding full time step */ /* Step 5 from Belytschko Box 6.1 - Update velocity */ for (int i = 0; i < nDOF; i++) { if (!boundary[i]) { @@ -269,6 +274,10 @@ int main(int argc, char **argv) { displacements[i] = displacements[i] + dt * velocities_half[i]; } + for (int i = 0; i < ndim2; i++) { + displacements_unit[i] = displacements_unit[i] + dt * velocities_half_unit[i]; + } + /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ GetForce(); // Calculating the force term. /* Step - 9 from Belytschko Box 6.1 - Calculate Accelerations */ @@ -279,7 +288,9 @@ int main(int argc, char **argv) { for (int i = 0; i < nDOF; i++) { velocities[i] = velocities_half[i] + dtby2 * accelerations[i]; } - + for (int i = 0; i < ndim2; i++) { + velocities_unit[i] = velocities_half_unit[i] + dtby2 * acceleration_unit[i]; + } /** Step - 11 Checking* Energy Balance */ int writeFlag = time_step_counter % nsteps_plot; int writeFileFlag = time_step_counter % nsteps_write; @@ -350,7 +361,6 @@ int main(int argc, char **argv) { free1DArray(angAccZv); free1DArray(outputNodeList); free1DArray(outputElemList); - free1DArray(outputNodeRigidDisp); // Free variables used for injury criteria free1DArray(PS_Old); free1DArray(elementIDInjury); @@ -373,10 +383,14 @@ int main(int argc, char **argv) { void ApplyAccBoundaryConditions() { double r[4], R[4], Rinv[4], V[4], Vp[4]; // quaternions - double omegaR[3], omega[3], omegaOmegaR[3], omegaVel[3], vel[3]; // vectors - double alpha[3], alphaR[3], locV[3]; - - rk.do_step(computeDerivatives, yInt, ydotInt, Time - dt, 0.5*dt); + double omegaOmegaR[3], omegaVel[3], vel[3]; // vectors + double alpha[3], alphaR[3]; + double omegaR[3], omega[3]; // vectors + double locV[3]; + + // Update to half time step to compute velocity + // rk.do_step(computeDerivatives, yInt, ydotInt, Time, 0.5*dt); + rk.do_step(computeDerivatives, yInt, Time, 0.5*dt); r[0] = 0.0; r[1] = yInt[3]; r[2] = yInt[4]; @@ -386,12 +400,12 @@ void ApplyAccBoundaryConditions() { omega[0] = yInt[0]; omega[1] = yInt[1]; omega[2] = yInt[2]; - alpha[0] = ydotInt[0]; - alpha[1] = ydotInt[1]; - alpha[2] = ydotInt[2]; - vel[0] = yInt[6]; - vel[1] = yInt[7]; - vel[2] = yInt[8]; + // alpha[0] = ydotInt[0]; + // alpha[1] = ydotInt[1]; + // alpha[2] = ydotInt[2]; + // vel[0] = yInt[6]; + // vel[1] = yInt[7]; + // vel[2] = yInt[8]; for (int i = 0; i < boundarySize; i++) { int index = boundaryID[i] * ndim; @@ -417,25 +431,36 @@ void ApplyAccBoundaryConditions() { // 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; } } - // Rotate points to plot to obtain their rigid displacements + if (rankForCustomPlot) { - for (int i = 0; i < outputNodeCount; i++) { - int index = outputNodeList[i] * ndim; - int index1 = i * ndim; + // Update unit vector + for (int i = 0; i < 3; i++) { + int index = i * ndim; for (int j = 0; j < ndim; ++j) { - locV[j] = coordinates[index + j]; + locV[j] = unitVec[index + j]; } V[0] = 0.0; V[1] = locV[0]; V[2] = locV[1]; V[3] = locV[2]; quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} + crossProduct(omega, &(Vp[1]), omegaR); + crossProduct(omega, omegaR, omegaOmegaR); + crossProduct(omega, vel, omegaVel); + crossProduct(alpha, &(Vp[1]), alphaR); + double unitVecMag = sqrt(Vp[1]*Vp[1]+Vp[2]*Vp[2]+Vp[3]*Vp[3]); for (int j = 0; j < ndim; ++j) { - // Displacement - outputNodeRigidDisp[index1 + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; + // update unit vectors by rotating + velocities_half_unit[index + j] = omegaR[j] + yInt[6 + j]; + acceleration_unit[index + j] = 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; } } + // for (int i = 0; i < 3; i++) { + // rigidTranslation[i] += yInt[9+i]; + //} } + // Move to full time step + rk.do_step(computeDerivatives, yInt, Time+0.5*dt, 0.5*dt); return; } @@ -590,8 +615,25 @@ void InitCustomPlot(const Json::Value &jsonInput) { MPI_File_write_ordered(outputFilePtr, outputHeader, strlen(outputHeader), MPI_CHAR, MPI_STATUS_IGNORE); free(outputHeader); - outputNodeRigidDisp = - (double *)calloc(outputNodeCount * ndim, sizeof(double)); + // Set the unit vector for locla co-ordinates + for (int i = 0; i < ndim2; ++i) { + unitVec[i] = 0.0; + velocities_half_unit[i] = 0.0; + displacements_unit[i] = 0.0; + velocities_unit[i] = 0.0; + acceleration_unit[i] = 0.0; + normVec[i] = 0.0; + } + for (int i = 0; i < ndim; ++i) { + rigidTranslation[i] = 0.0; + } + unitVec[0] = 1.0; + unitVec[4] = 1.0; + unitVec[8] = 1.0; + } + // Check if we should disable relative displacement + if (!jsonInput["relative-displacement"].empty()) { + outputRelativeDisplacement = jsonInput["relative-displacement"].asBool(); } return; } @@ -605,16 +647,46 @@ void CustomPlot() { if (output_rank == 0) { sprintf(output, "%15.9e", Time); } + if(outputRelativeDisplacement){ + for(int i = 0; i +#include // For JSON output +#include +#include +#include // For JSON output unique pointer +#include + +#include + +using namespace std; +using namespace boost::numeric::odeint; + +/*Declare Functions*/ +void CustomPlot(); +void InitCustomPlot(const Json::Value &jsonInput); +double InitBoundaryCondition(const Json::Value &jsonInput); +void InitInjuryCriteria(void); +void updateBoundaryNeighbour(void); +void ApplyAccBoundaryConditions(); +int getImpactID(std::string location); +void WriteOutputFile(); +void CalculateInjuryCriteria(void); +void TransformMesh(const Json::Value &jsonInput); +void WriteMPS(void); + +/* Global Variables/Parameters */ +double Time = 0.0, dt; +int nSteps; +bool ImplicitStatic = false; +bool ImplicitDynamic = false; +bool ExplicitDynamic = true; + +double dynamicDamping = 0.000; +double ExplicitTimeStepReduction = 0.8; +double FailureTimeStep = 1e-8; // Set for max runtime of around 5 hrs on aws +double MaxTimeStep = 1e-5; +int nPlotSteps = 50; +int nWriteSteps = 100; + +/* Global variables used only in this file */ +int nodeIDtoPlot; +bool rankForCustomPlot; +bool outputRelativeDisplacement = true; +/* Global variables for bc */ +int *boundaryID = NULL; +int boundarySize; +double peakTime, tMax; +bool writeField = true; +bool computeInjuryFlag = true; +/* Global variables for output */ +int *outputNodeList; +int outputNodeCount = 0; +int *outputElemList; +int outputElemCount = 0; +MPI_Comm output_comm; +MPI_File outputFilePtr; +int output_size, output_rank; +double *outputNodeRigidDisp; +double *outputElemStress; + +/* Variables for injury metrics */ +/* Variables to compute maximum quatities over time and space */ +/* 0. Maximum principal strain, 1. Maximum principal shear, + * 2. Maximum principal strain times strain rate + * 3. Minimum principal strain + * */ +const int maxQuantities = 4; +const std::string maxOutput[maxQuantities] = { + "principal-max-strain", "maximum-shear-strain", "maximum-PSxSR", + "principal-min-strain"}; +const MPI_Op outputOperator[maxQuantities] = {MPI_MAXLOC, MPI_MAXLOC, + MPI_MAXLOC, MPI_MINLOC}; + +double maxValue[maxQuantities], maxTime[maxQuantities]; +int maxElem[maxQuantities]; + +/* Percentile variables */ +/* 0. MPS - 95 Percentile + * 1. MPSxSR - 95 Percentile + */ +const int percentileQuantities = 2; +int *percentileElements[percentileQuantities]; +double percentileTime[percentileQuantities]; +double percentileValue[percentileQuantities]; +const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95"}; +/* Threshold variables */ +/* 0. MPS > 5 + * 1. MPS > 10 + * 2. MPS > 15 + * 3. MPS > 30 + * 4. MPSR > 120 1/s + * 5. MPSxSR > 28 1/s + */ +const int threshQuantities = 6; +int *thresholdElements[threshQuantities]; +const std::string thresholdTag[threshQuantities] = { + "CSDM-5", "CSDM-10", "CSDM-15", "CSDM-30", "MPSR-120", "MPSxSR-28"}; + +/* Variables for maximum Principal Strain times Strain Rate */ +double *PS_Old = NULL; +double *PSxSRArray = NULL; +/* Store MPS, volume of each element */ +double *elementMPS = NULL; +double *initialVolume = NULL; + +int nElementsInjury = 0, *elementIDInjury = NULL; +// part ID to exclude from injury computation +// 0 : Skull, 1 : CSF +const int injuryExcludePIDCount = 2; +const int injuryExcludePID[injuryExcludePIDCount] = {0, 1}; + +// Variables to write injury criterion to Paraview output +const int outputCount = 7; +int *outputDataArray[outputCount]; +const char *outputNames[outputCount] = {"CSDM-5", "CSDM-10", "CSDM-15", + "CSDM-30", "MPSR-120", "MPSxSR-28", + "MPS-95"}; +const int outputDoubleCount = 1; +double *outputDoubleArray[outputDoubleCount]; +const char *outputDoubleNames[outputDoubleCount] = {"MPS-95-Value"}; + +const int csdmCount = 4; +const double csdmLimits[csdmCount] = {0.05, 0.1, 0.15, 0.3}; + +/* Variables used to store acceleration values */ +int linAccXSize, linAccYSize, linAccZSize; +int angAccXSize, angAccYSize, angAccZSize; +double *linAccXt, *linAccYt, *linAccZt; +double *linAccXv, *linAccYv, *linAccZv; +double *angAccXt, *angAccYt, *angAccZt; +double *angAccXv, *angAccYv, *angAccZv; + +/* Varibles for Local integrator */ +const int nIntVar = 12; +typedef boost::array state_type; +runge_kutta_dopri5 rk; +void computeDerivatives(const state_type &y, state_type &ydot, const double t); +state_type yInt, ydotInt; +double cm[3]; +std::string outputFileName; + +int main(int argc, char **argv) { + // Initialize FemTech including logfile and MPI + Json::Value inputJson = InitFemTech(argc, argv); + Json::Value simulationJson = inputJson["simulation"]; + + std::string meshFile = simulationJson["mesh"].asString(); + // Convert maximum time to seconds + tMax = simulationJson["maximum-time"].asDouble() / 1000.0; + if (!simulationJson["write-vtu"].empty()) { + writeField = simulationJson["write-vtu"].asBool(); + } + if (!simulationJson["compute-injury-criteria"].empty()) { + computeInjuryFlag = simulationJson["compute-injury-criteria"].asBool(); + } + FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); + // Read Input Mesh file and equally partition elements among processes + ReadInputFile(meshFile.c_str()); + size_t lastindex = meshFile.find_last_of("."); + outputFileName = meshFile.substr(0, lastindex) + "_" + uid; + // Read material properties before mesh partition to estimate + // material type kernel compute intensity + ReadMaterials(); + + PartitionMesh(); + + AllocateArrays(); + TransformMesh(simulationJson); + InitCustomPlot(simulationJson); + if (computeInjuryFlag) { + InitInjuryCriteria(); + } + + // Initial settings for BC evaluations + // Used if initial velocity and acceleration BC is to be set. + Time = InitBoundaryCondition(simulationJson); + + /* Write inital, undeformed configuration*/ + int plot_counter = 0; + if (writeField) { + if (computeInjuryFlag) { + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputDoubleCount, outputDoubleNames); + } else { + WriteVTU(outputFileName.c_str(), plot_counter); + } + WritePVD(outputFileName.c_str(), plot_counter); + } + stepTime[plot_counter] = Time; + + int time_step_counter = 0; + /** Central Difference Method - Beta and Gamma */ + // double beta = 0; + // double gamma = 0.5; + + ShapeFunctions(); + /* Step-1: Calculate the mass matrix similar to that of belytschko. */ + AssembleLumpedMass(); + // Needs to be after shapefunctions + CustomPlot(); + + /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ + dt = ExplicitTimeStepReduction * StableTimeStep(); + /* Step-2: getforce step from Belytschko */ + // In GetForce for viscoelastic material dt is required, hence we compute dt + // prior to getforce to avoid special treatment of getforce at Time = 0 + // GetForce(); // Calculating the force term. + + /* Step-3: Calculate accelerations */ + // CalculateAccelerations(); + for (int i = 0; i < nDOF; i++) { + accelerations[i] = 0.0; + } + + nSteps = (int)((tMax - Time) / dt); + int nsteps_plot = (int)(nSteps / nPlotSteps); + if (nsteps_plot == 0) { + nsteps_plot = nSteps; + } + int nsteps_write = (int)(nSteps / nWriteSteps); + if (nsteps_write == 0) { + nsteps_write = nSteps; + } + + double t_n = 0.0; + + FILE_LOG_MASTER(INFO, "---------------------------------"); + FILE_LOG_MASTER(INFO, "Tmax : %15.6e, Initial dt : %15.6e", tMax, dt); + FILE_LOG_MASTER(INFO, "nSteps = %d, nsteps_plot = %d", nSteps, nsteps_plot); + FILE_LOG_MASTER(INFO, "-------------- Loop -------------"); + + time_step_counter = time_step_counter + 1; + + + /* Step-4: Time loop starts....*/ + while (Time < tMax) { + t_n = Time; + double t_np1 = Time + dt; + double dtby2 = 0.5*dt; + double t_nphalf = t_n + dtby2; // equ 6.2.1 + + /* Step 6 Enforce boundary Conditions */ + ApplyAccBoundaryConditions(); + Time = t_np1; /*Update the time by adding full time step */ + /* Step 5 from Belytschko Box 6.1 - Update velocity */ + for (int i = 0; i < nDOF; i++) { + if (!boundary[i]) { + velocities_half[i] = velocities[i] + dtby2 * accelerations[i]; + } + } + + // Store old displacements and accelerations for energy computation + memcpy(displacements_prev, displacements, nDOF * sizeof(double)); + memcpy(accelerations_prev, accelerations, nDOF * sizeof(double)); + // Store internal external force from previous step to compute energy + memcpy(fi_prev, fi, nDOF * sizeof(double)); + memcpy(fe_prev, fe, nDOF * sizeof(double)); + + // update displacements for all nodes, including where velocity bc is set + for (int i = 0; i < nDOF; i++) { + displacements[i] = displacements[i] + dt * velocities_half[i]; + } + + /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ + GetForce(); // Calculating the force term. + /* Step - 9 from Belytschko Box 6.1 - Calculate Accelerations */ + CalculateAccelerations(); // Calculating the new accelerations from total + // nodal forces. + + /** Step- 10 - Second Partial Update of Nodal Velocities */ + for (int i = 0; i < nDOF; i++) { + velocities[i] = velocities_half[i] + dtby2 * accelerations[i]; + } + + /** Step - 11 Checking* Energy Balance */ + int writeFlag = time_step_counter % nsteps_plot; + int writeFileFlag = time_step_counter % nsteps_write; + CheckEnergy(Time, writeFlag); + + if (computeInjuryFlag) { + CalculateInjuryCriteria(); + } + if (writeFileFlag == 0) { + CustomPlot(); + } + if (writeFlag == 0) { + FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, + tMax); + plot_counter = plot_counter + 1; + + if (plot_counter < MAXPLOTSTEPS) { + stepTime[plot_counter] = Time; + if (writeField) { + FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); + if (computeInjuryFlag) { + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputDoubleCount, outputDoubleNames); + } else { + WriteVTU(outputFileName.c_str(), plot_counter); + } + WritePVD(outputFileName.c_str(), plot_counter); + } + } + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Displacement Solution"); + } + time_step_counter = time_step_counter + 1; + dt = ExplicitTimeStepReduction * StableTimeStep(); + FILE_LOG_MASTER(INFO, "dt = %15.6e, Time = %15.6e", dt, Time); + + // Barrier not a must + MPI_Barrier(MPI_COMM_WORLD); + } // end explcit while loop + // Write output if last step results not written + int writeFileFlag = (time_step_counter - 1) % nsteps_write; + if (writeFileFlag != 0) { + CustomPlot(); + } + FILE_LOG_MASTER(INFO, "End of Iterative Loop"); + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Final Displacement Solution"); + + WriteOutputFile(); + if (computeInjuryFlag) { + WriteMPS(); + } + + // Free local boundary condition related arrays + free1DArray(boundaryID); + free1DArray(linAccXt); + free1DArray(linAccYt); + free1DArray(linAccZt); + free1DArray(linAccXv); + free1DArray(linAccYv); + free1DArray(linAccZv); + free1DArray(angAccXt); + free1DArray(angAccYt); + free1DArray(angAccZt); + free1DArray(angAccXv); + free1DArray(angAccYv); + free1DArray(angAccZv); + free1DArray(outputNodeList); + free1DArray(outputElemList); + free1DArray(outputNodeRigidDisp); + // Free variables used for injury criteria + free1DArray(PS_Old); + free1DArray(elementIDInjury); + free1DArray(PSxSRArray); + for (int i = 0; i < threshQuantities; ++i) { + free1DArray(thresholdElements[i]); + } + for (int i = 0; i < percentileQuantities; ++i) { + free1DArray(percentileElements[i]); + } + free1DArray(elementMPS); + free1DArray(initialVolume); + + if (rankForCustomPlot) { + MPI_File_close(&outputFilePtr); + } + FinalizeFemTech(); + return 0; +} + +void ApplyAccBoundaryConditions() { + double r[4], R[4], Rinv[4], V[4], Vp[4]; // quaternions + // double omegaR[3], omega[3], omegaOmegaR[3], omegaVel[3], vel[3]; // vectors + // double alpha[3], alphaR[3], locV[3]; + double omegaR[3], omega[3]; // vectors + double locV[3]; + + // Update to half time step to compute velocity + // rk.do_step(computeDerivatives, yInt, ydotInt, Time, 0.5*dt); + rk.do_step(computeDerivatives, yInt, Time, 0.5*dt); + r[0] = 0.0; + r[1] = yInt[3]; + r[2] = yInt[4]; + r[3] = yInt[5]; + quaternionExp(r, R); // R = exp(r) + quaternionInverse(R, Rinv); + omega[0] = yInt[0]; + omega[1] = yInt[1]; + omega[2] = yInt[2]; + // alpha[0] = ydotInt[0]; + // alpha[1] = ydotInt[1]; + // alpha[2] = ydotInt[2]; + // vel[0] = yInt[6]; + // vel[1] = yInt[7]; + // vel[2] = yInt[8]; + + for (int i = 0; i < boundarySize; i++) { + int index = boundaryID[i] * ndim; + for (int j = 0; j < ndim; ++j) { + locV[j] = coordinates[index + j]; + } + V[0] = 0.0; + V[1] = locV[0]; + V[2] = locV[1]; + V[3] = locV[2]; + quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} + crossProduct(omega, &(Vp[1]), omegaR); + // crossProduct(omega, omegaR, omegaOmegaR); + // crossProduct(omega, vel, omegaVel); + // crossProduct(alpha, &(Vp[1]), alphaR); + for (int j = 0; j < ndim; ++j) { + // Displacement + // displacements[index + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; + // Velocity + velocities_half[index + j] = omegaR[j] + yInt[6 + j]; + // Acceleration + // accelerations[index + j] = + // 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; + } + } + // Move to full time step + rk.do_step(computeDerivatives, yInt, Time+0.5*dt, 0.5*dt); + // Rotate points to plot to obtain their rigid displacements + if (rankForCustomPlot) { + r[0] = 0.0; + r[1] = yInt[3]; + r[2] = yInt[4]; + r[3] = yInt[5]; + quaternionExp(r, R); // R = exp(r) + quaternionInverse(R, Rinv); + for (int i = 0; i < outputNodeCount; i++) { + int index = outputNodeList[i] * ndim; + int index1 = i * ndim; + for (int j = 0; j < ndim; ++j) { + locV[j] = coordinates[index + j]; + } + V[0] = 0.0; + V[1] = locV[0]; + V[2] = locV[1]; + V[3] = locV[2]; + quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} + for (int j = 0; j < ndim; ++j) { + // Displacement + outputNodeRigidDisp[index1 + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; + } + } + } + return; +} + +void InitCustomPlot(const Json::Value &jsonInput) { + rankForCustomPlot = false; + if (!jsonInput["output-nodes"].empty()) { + int outputSize = jsonInput["output-nodes"].size(); + int *outputNodes = (int *)malloc(outputSize * sizeof(int)); + int *outputLocalNodes = (int *)malloc(outputSize * sizeof(int)); + int *containsNode = (int *)calloc(outputSize, sizeof(int)); + int *containsNodeCum = (int *)calloc(outputSize, sizeof(int)); + // Store input node list to array + jsonToArrayInt(outputNodes, jsonInput["output-nodes"]); + + // Check if node is present in the current process + for (int i = 0; i < outputSize; ++i) { + int nodeItem = outputNodes[i]; + for (int j = 0; j < nNodes; ++j) { + if (globalNodeID[j] == nodeItem) { + containsNode[i] = 1; + outputLocalNodes[i] = j; + break; + } + } + } + // If multiple procs have same node use the lowest rank + MPI_Scan(containsNode, containsNodeCum, outputSize, MPI_INT, MPI_SUM, + MPI_COMM_WORLD); + for (int i = 0; i < outputSize; ++i) { + if (containsNode[i] == 1 && containsNodeCum[i] == 1) { + outputNodeCount = outputNodeCount + 1; + } + } + outputNodeList = (int *)malloc(outputNodeCount * sizeof(int)); + int currentIndex = 0; + for (int i = 0; i < outputSize; ++i) { + if (containsNode[i] == 1 && containsNodeCum[i] == 1) { + outputNodeList[currentIndex] = outputLocalNodes[i]; + currentIndex = currentIndex + 1; + } + } + assert(currentIndex == outputNodeCount); + if (outputNodeCount > 0) { + rankForCustomPlot = true; + } + free(outputNodes); + free(outputLocalNodes); + free(containsNode); + free(containsNodeCum); + for (int i = 0; i < outputNodeCount; ++i) { + int nodeL = outputNodeList[i]; + FILE_LOG_SINGLE(INFO, "Node ID : %d (%15.9e, %15.9e, %15.9e)", + globalNodeID[nodeL], coordinates[nodeL * ndim], + coordinates[nodeL * ndim + 1], + coordinates[nodeL * ndim + 2]); + } + } + if (!jsonInput["output-elements"].empty()) { + int outputSize = jsonInput["output-elements"].size(); + int *outputElements = (int *)malloc(outputSize * sizeof(int)); + int *outputLocalElements = (int *)malloc(outputSize * sizeof(int)); + int *containsElement = (int *)calloc(outputSize, sizeof(int)); + // Store input node list to array + jsonToArrayInt(outputElements, jsonInput["output-elements"]); + + // Check if element is present in the current process + // TODO : Used the fact that global element ID is sorted and use binary + // search + for (int i = 0; i < outputSize; ++i) { + int elemItem = outputElements[i]; + for (int j = 0; j < nelements; ++j) { + if (global_eid[j] == elemItem) { + containsElement[i] = 1; + outputLocalElements[i] = j; + outputElemCount = outputElemCount + 1; + break; + } + } + } + if (outputElemCount > 0) { + rankForCustomPlot = true; + outputElemList = (int *)malloc(sizeof(int) * outputElemCount); + int currentIndex = 0; + for (int i = 0; i < outputSize; ++i) { + if (containsElement[i]) { + outputElemList[currentIndex] = outputLocalElements[i]; + currentIndex = currentIndex + 1; + } + } + assert(currentIndex == outputElemCount); + } + free(outputElements); + free(outputLocalElements); + free(containsElement); + } + // Create communicator with process with output nodes + if (rankForCustomPlot) { + int color = 1; + MPI_Comm_split(MPI_COMM_WORLD, color, world_rank, &output_comm); + } else { + MPI_Comm_split(MPI_COMM_WORLD, MPI_UNDEFINED, world_rank, &output_comm); + } + if (rankForCustomPlot) { + // Get the number of processes in output communicator + MPI_Comm_size(output_comm, &output_size); + // Get the rank of the process in output communicator + MPI_Comm_rank(output_comm, &output_rank); + // Open output file and write header + std::string outFileStr = "plot_" + uid + ".dat"; + MPI_Info infoin; + MPI_Info_create(&infoin); + MPI_Info_set(infoin, "access_style", "write_once,random"); + const char *outFileName = outFileStr.c_str(); + + int err; + err = MPI_File_open(output_comm, outFileName, + MPI_MODE_EXCL | MPI_MODE_WRONLY | MPI_MODE_CREATE, + infoin, &outputFilePtr); + if (err != MPI_SUCCESS) { + if (output_rank == 0) { + MPI_File_delete(outFileName, MPI_INFO_NULL); + } + MPI_Barrier(output_comm); + err = MPI_File_open(output_comm, outFileName, + MPI_MODE_EXCL | MPI_MODE_WRONLY | MPI_MODE_CREATE, + infoin, &outputFilePtr); + if (err != MPI_SUCCESS) { + FILE_LOG_SINGLE(ERROR, "Unable to open file to write co-ordinates"); + TerminateFemTech(10); + } + } + // Write the header + char *outputHeader = (char *)malloc( + sizeof(char) * (10 + outputNodeCount * 60 + outputElemCount * 40)); + outputHeader[0] = 0; + if (output_rank == 0) { + sprintf(outputHeader, "#Time"); + } + for (int i = 0; i < outputNodeCount; ++i) { + int globalN = globalNodeID[outputNodeList[i]]; + sprintf(outputHeader, "%s Node%08d-DispX Node%08d-DispY Node%08d-DispZ", + outputHeader, globalN, globalN, globalN); + } + for (int i = 0; i < outputElemCount; ++i) { + int globalE = global_eid[outputElemList[i]]; + sprintf(outputHeader, "%s Elem%08d-StreP Elem%08d-StreS", outputHeader, + globalE, globalE); + } + if (output_rank == (output_size - 1)) { + sprintf(outputHeader, "%s\n", outputHeader); + } + MPI_File_write_ordered(outputFilePtr, outputHeader, strlen(outputHeader), + MPI_CHAR, MPI_STATUS_IGNORE); + free(outputHeader); + outputNodeRigidDisp = + (double *)calloc(outputNodeCount * ndim, sizeof(double)); + } + // Check if we should disable relative displacement + if (!jsonInput["relative-displacement"].empty()) { + outputRelativeDisplacement = jsonInput["relative-displacement"].asBool(); + } + return; +} + +void CustomPlot() { + if (rankForCustomPlot) { + // Write the output + char *output = (char *)malloc( + sizeof(char) * (17 + outputNodeCount * 51 + outputElemCount * 34)); + output[0] = 0; + if (output_rank == 0) { + sprintf(output, "%15.9e", Time); + } + for (int i = 0; i < outputNodeCount; ++i) { + unsigned int plotNode = outputNodeList[i] * ndim; + unsigned int plotIndex = i * ndim; + double xCord = displacements[plotNode]; + double yCord = displacements[plotNode + 1]; + double zCord = displacements[plotNode + 2]; + if (outputRelativeDisplacement) { + xCord -= outputNodeRigidDisp[plotIndex]; + yCord -= outputNodeRigidDisp[plotIndex + 1]; + zCord -= outputNodeRigidDisp[plotIndex + 2]; + } + sprintf(output, "%s %15.9e %15.9e %15.9e", output, xCord, yCord, zCord); + } + double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; + for (int i = 0; i < outputElemCount; ++i) { + unsigned int plotElem = outputElemList[i]; + // Recalculation to decouple from Injury criteria + if (materialID[pid[plotElem]] != 0) { + CalculateMaximumPrincipalStrain(plotElem, ¤tStrainMaxElem, + ¤tStrainMinElem, + ¤tShearMaxElem); + } else { + currentStrainMaxElem = 0.0; + currentShearMaxElem = 0.0; + } + sprintf(output, "%s %15.9e %15.9e", output, currentStrainMaxElem, + currentShearMaxElem); + } + if (output_rank == (output_size - 1)) { + sprintf(output, "%s\n", output); + } + MPI_File_write_ordered(outputFilePtr, output, strlen(output), MPI_CHAR, + MPI_STATUS_IGNORE); + free(output); + } + return; +} + +double InitBoundaryCondition(const Json::Value &jsonInput) { + static const double gC = 9.81; + double startTime = 0.0; + // Read input JSON for acceleration values + if (jsonInput["linear-acceleration"] + .isObject()) { // Use time traces from file + // If time array is common + if (!jsonInput["time-all"].empty()) { + unsigned int timeSize = 0; + timeSize = jsonInput["time-all"].size(); + linAccXSize = jsonInput["linear-acceleration"]["xv"].size(); + assert(linAccXSize == timeSize); + linAccYSize = jsonInput["linear-acceleration"]["yv"].size(); + assert(linAccYSize == timeSize); + linAccZSize = jsonInput["linear-acceleration"]["zv"].size(); + assert(linAccZSize == timeSize); + + linAccXt = (double *)malloc(sizeof(double) * linAccXSize); + linAccXv = (double *)malloc(sizeof(double) * linAccXSize); + linAccYt = (double *)malloc(sizeof(double) * linAccYSize); + linAccYv = (double *)malloc(sizeof(double) * linAccYSize); + linAccZt = (double *)malloc(sizeof(double) * linAccZSize); + linAccZv = (double *)malloc(sizeof(double) * linAccZSize); + + jsonToArray(linAccXt, jsonInput["time-all"]); + jsonToArray(linAccXv, jsonInput["linear-acceleration"]["xv"]); + jsonToArray(linAccYv, jsonInput["linear-acceleration"]["yv"]); + jsonToArray(linAccZv, jsonInput["linear-acceleration"]["zv"]); + memcpy(linAccYt, linAccXt, timeSize*sizeof(double)); + memcpy(linAccZt, linAccXt, timeSize*sizeof(double)); + + angAccXSize = jsonInput["angular-acceleration"]["xv"].size(); + assert(timeSize == angAccXSize); + angAccYSize = jsonInput["angular-acceleration"]["yv"].size(); + assert(timeSize == angAccYSize); + angAccZSize = jsonInput["angular-acceleration"]["zv"].size(); + assert(timeSize == angAccZSize); + + angAccXt = (double *)malloc(sizeof(double) * angAccXSize); + angAccXv = (double *)malloc(sizeof(double) * angAccXSize); + angAccYt = (double *)malloc(sizeof(double) * angAccYSize); + angAccYv = (double *)malloc(sizeof(double) * angAccYSize); + angAccZt = (double *)malloc(sizeof(double) * angAccZSize); + angAccZv = (double *)malloc(sizeof(double) * angAccZSize); + + jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); + jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); + jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); + memcpy(angAccXt, linAccXt, timeSize*sizeof(double)); + memcpy(angAccYt, linAccXt, timeSize*sizeof(double)); + memcpy(angAccZt, linAccXt, timeSize*sizeof(double)); + } else { + // Read linear acceleration and angular acceleration time traces + linAccXSize = jsonInput["linear-acceleration"]["xt"].size(); + int tempSize = jsonInput["linear-acceleration"]["xv"].size(); + assert(tempSize == linAccXSize); + linAccXt = (double *)malloc(sizeof(double) * linAccXSize); + linAccXv = (double *)malloc(sizeof(double) * linAccXSize); + linAccYSize = jsonInput["linear-acceleration"]["yt"].size(); + tempSize = jsonInput["linear-acceleration"]["yv"].size(); + assert(tempSize == linAccYSize); + linAccYt = (double *)malloc(sizeof(double) * linAccYSize); + linAccYv = (double *)malloc(sizeof(double) * linAccYSize); + linAccZSize = jsonInput["linear-acceleration"]["zt"].size(); + tempSize = jsonInput["linear-acceleration"]["zv"].size(); + assert(tempSize == linAccYSize); + linAccZt = (double *)malloc(sizeof(double) * linAccZSize); + linAccZv = (double *)malloc(sizeof(double) * linAccZSize); + jsonToArray(linAccXt, jsonInput["linear-acceleration"]["xt"]); + jsonToArray(linAccXv, jsonInput["linear-acceleration"]["xv"]); + jsonToArray(linAccYt, jsonInput["linear-acceleration"]["yt"]); + jsonToArray(linAccYv, jsonInput["linear-acceleration"]["yv"]); + jsonToArray(linAccZt, jsonInput["linear-acceleration"]["zt"]); + jsonToArray(linAccZv, jsonInput["linear-acceleration"]["zv"]); + + angAccXSize = jsonInput["angular-acceleration"]["xt"].size(); + tempSize = jsonInput["angular-acceleration"]["xv"].size(); + assert(tempSize == angAccXSize); + angAccXt = (double *)malloc(sizeof(double) * angAccXSize); + angAccXv = (double *)malloc(sizeof(double) * angAccXSize); + angAccYSize = jsonInput["angular-acceleration"]["yt"].size(); + tempSize = jsonInput["angular-acceleration"]["yv"].size(); + assert(tempSize == angAccYSize); + angAccYt = (double *)malloc(sizeof(double) * angAccYSize); + angAccYv = (double *)malloc(sizeof(double) * angAccYSize); + angAccZSize = jsonInput["angular-acceleration"]["zt"].size(); + tempSize = jsonInput["angular-acceleration"]["zv"].size(); + assert(tempSize == angAccZSize); + angAccZt = (double *)malloc(sizeof(double) * angAccZSize); + angAccZv = (double *)malloc(sizeof(double) * angAccZSize); + jsonToArray(angAccXt, jsonInput["angular-acceleration"]["xt"]); + jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); + jsonToArray(angAccYt, jsonInput["angular-acceleration"]["yt"]); + jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); + jsonToArray(angAccZt, jsonInput["angular-acceleration"]["zt"]); + jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); + } + + // Convert linear accelerations from g force to m/s^2 + // Convert time from milli-seconds to seconds + for (int i = 0; i < linAccXSize; ++i) { + // linAccXv[i] = gC*linAccXv[i]; + linAccXt[i] = 0.001 * linAccXt[i]; + } + for (int i = 0; i < linAccYSize; ++i) { + // linAccYv[i] = gC*linAccYv[i]; + linAccYt[i] = 0.001 * linAccYt[i]; + } + for (int i = 0; i < linAccZSize; ++i) { + // linAccZv[i] = gC*linAccZv[i]; + linAccZt[i] = 0.001 * linAccZt[i]; + } + for (int i = 0; i < angAccXSize; ++i) { + angAccXt[i] = 0.001 * angAccXt[i]; + } + for (int i = 0; i < angAccYSize; ++i) { + angAccYt[i] = 0.001 * angAccYt[i]; + } + for (int i = 0; i < angAccZSize; ++i) { + angAccZt[i] = 0.001 * angAccZt[i]; + } + startTime = linAccXt[0]; + } else { // Read maximum values from input file + double accMax[3]; + accMax[0] = gC * jsonInput["linear-acceleration"][0].asDouble(); + accMax[1] = gC * jsonInput["linear-acceleration"][1].asDouble(); + accMax[2] = gC * jsonInput["linear-acceleration"][2].asDouble(); + peakTime = jsonInput["time-peak-acceleration"].asDouble() / + 1000.0; // Convert to second + linAccXSize = 3; + linAccYSize = 3; + linAccZSize = 3; + linAccXt = (double *)calloc(linAccXSize, sizeof(double)); + linAccXv = (double *)calloc(linAccXSize, sizeof(double)); + linAccYt = (double *)calloc(linAccYSize, sizeof(double)); + linAccYv = (double *)calloc(linAccYSize, sizeof(double)); + linAccZt = (double *)calloc(linAccZSize, sizeof(double)); + linAccZv = (double *)calloc(linAccZSize, sizeof(double)); + linAccXt[1] = linAccYt[1] = linAccZt[1] = peakTime; + linAccXt[2] = linAccYt[2] = linAccZt[2] = tMax; + linAccXv[1] = accMax[0]; + linAccYv[1] = accMax[1]; + linAccZv[1] = accMax[2]; + if (jsonInput["angular-acceleration"].size() == 3) { + accMax[0] = jsonInput["angular-acceleration"][0].asDouble(); + accMax[1] = jsonInput["angular-acceleration"][1].asDouble(); + accMax[2] = jsonInput["angular-acceleration"][2].asDouble(); + } else { + double angNormal[3]; + int impactPointID = getImpactID(jsonInput["impact-point"].asString()); + // Compute the axis of rotation based on center of mass and impact point + double impactNodeCoord[3]; + // Find if global node ID is present on the current process + int nodeStatus = coordinateFromGlobalID(globalNodeID, impactPointID, + nNodes, impactNodeCoord); + // Find lowest rank process with node ID + int *nodeWithID = (int *)malloc(world_size * sizeof(int)); + MPI_Allgather(&nodeStatus, 1, MPI_INT, nodeWithID, 1, MPI_INT, + MPI_COMM_WORLD); + int nodeIDGlobal = -1; + for (int i = 0; i < world_size; ++i) { + if (nodeWithID[i]) { + nodeIDGlobal = i; + break; + } + } + // Recieve node co-ordinates + MPI_Bcast(impactNodeCoord, ndim, MPI_DOUBLE, nodeIDGlobal, + MPI_COMM_WORLD); + FILE_LOG_MASTER(INFO, "NodeID of impact : %d (%15.9e, %15.9e, %15.9e)", + impactPointID, impactNodeCoord[0], impactNodeCoord[1], + impactNodeCoord[2]); + // Compute the axis of rotation + double norm = 0.0; + for (int i = 0; i < ndim; ++i) { + double ds = impactNodeCoord[i]; + angNormal[i] = ds; + norm += ds * ds; + } + norm = sqrt(norm); + for (int i = 0; i < ndim; ++i) { + angNormal[i] /= norm; + } + double angAccMax = jsonInput["angular-acceleration"].asDouble(); + accMax[0] = angAccMax * angNormal[0]; + accMax[1] = angAccMax * angNormal[1]; + accMax[2] = angAccMax * angNormal[2]; + free(nodeWithID); + } + angAccXSize = 3; + angAccYSize = 3; + angAccZSize = 3; + angAccXt = (double *)calloc(angAccXSize, sizeof(double)); + angAccXv = (double *)calloc(angAccXSize, sizeof(double)); + angAccYt = (double *)calloc(angAccYSize, sizeof(double)); + angAccYv = (double *)calloc(angAccYSize, sizeof(double)); + angAccZt = (double *)calloc(angAccZSize, sizeof(double)); + angAccZv = (double *)calloc(angAccZSize, sizeof(double)); + angAccXt[1] = angAccYt[1] = angAccZt[1] = peakTime; + angAccXt[2] = angAccYt[2] = angAccZt[2] = tMax; + angAccXv[1] = accMax[0]; + angAccYv[1] = accMax[1]; + angAccZv[1] = accMax[2]; + } + // Convert angular to linear frame + if (!jsonInput["angular-to-linear-frame"].empty()) { + double factor[ndim]; + int index[ndim]; + for (int i = 0; i < ndim; ++i) { + index[i] = -10; + std::string tr = jsonInput["angular-to-linear-frame"][i].asString(); + if (tr.length() == 2) { + switch (tr.at(1)) { + case 'x': + index[i] = 0; + break; + case 'y': + index[i] = 1; + break; + case 'z': + index[i] = 2; + break; + default: + FILE_LOG_MASTER(ERROR, "Transformation has to be x/y/z"); + TerminateFemTech(12); + break; + } + switch (tr.at(0)) { + case '-': + factor[i] = -1; + break; + case '+': + factor[i] = 1; + break; + default: + FILE_LOG_MASTER(ERROR, + "Prefix of axis not -/+, check input transformation"); + TerminateFemTech(12); + break; + } + } else { + if (tr.length() == 1) { + factor[i] = 1; + switch (tr.at(0)) { + case 'x': + index[i] = 0; + break; + case 'y': + index[i] = 1; + break; + case 'z': + index[i] = 2; + break; + default: + FILE_LOG_MASTER(ERROR, "Transformation has to be x/y/z"); + TerminateFemTech(12); + break; + } + } else { + FILE_LOG_MASTER(ERROR, "Error in angular to linear frame " + "transformation. Please check input file"); + TerminateFemTech(12); + } + } + } + // Validate the input + int indexSum = index[0] + index[1] + index[2]; + if (indexSum != 3) { + FILE_LOG_MASTER(ERROR, "Error in angular to linear frame transformation. " + "x, y and z not present"); + TerminateFemTech(12); + } + if ((index[0] != 0) && (index[1] != 0) && (index[2] != 0)) { + FILE_LOG_MASTER( + ERROR, + "Error in angular to linear frame transformation. x not present"); + TerminateFemTech(12); + } + // Transform all angular acceleration values + // Transforming individual values rather than pointer rotation for + // readability + double accSize[ndim]; + accSize[index[0]] = angAccXSize; + accSize[index[1]] = angAccYSize; + accSize[index[2]] = angAccZSize; + double *angAccTNew[ndim], *angAccVNew[ndim]; + angAccTNew[0] = (double *)malloc(accSize[0] * sizeof(double)); + angAccVNew[0] = (double *)malloc(accSize[0] * sizeof(double)); + angAccTNew[1] = (double *)malloc(accSize[1] * sizeof(double)); + angAccVNew[1] = (double *)malloc(accSize[1] * sizeof(double)); + angAccTNew[2] = (double *)malloc(accSize[2] * sizeof(double)); + angAccVNew[2] = (double *)malloc(accSize[2] * sizeof(double)); + + int transformedIndex = index[0]; + for (int i = 0; i < angAccXSize; ++i) { + angAccTNew[transformedIndex][i] = angAccXt[i]; + angAccVNew[transformedIndex][i] = angAccXv[i] * factor[0]; + } + transformedIndex = index[1]; + for (int i = 0; i < angAccYSize; ++i) { + angAccTNew[transformedIndex][i] = angAccYt[i]; + angAccVNew[transformedIndex][i] = angAccYv[i] * factor[1]; + } + transformedIndex = index[2]; + for (int i = 0; i < angAccZSize; ++i) { + angAccTNew[transformedIndex][i] = angAccZt[i]; + angAccVNew[transformedIndex][i] = angAccZv[i] * factor[2]; + } + + angAccXSize = accSize[0]; + angAccYSize = accSize[1]; + angAccZSize = accSize[2]; + free(angAccXt); + free(angAccXv); + free(angAccYt); + free(angAccYv); + free(angAccZt); + free(angAccZv); + angAccXt = angAccTNew[0]; + angAccXv = angAccVNew[0]; + angAccYt = angAccTNew[1]; + angAccYv = angAccVNew[1]; + angAccZt = angAccTNew[2]; + angAccZv = angAccVNew[2]; + } + + double tol = 1e-5; + // Find count of nodes with specified partID + int rigidNodeCount = 0; + for (int i = 0; i < nelements; ++i) { + if (materialID[pid[i]] == 0) { + rigidNodeCount = rigidNodeCount + (eptr[i + 1] - eptr[i]); + } + } + // Allocate node storage + int *rigidNodeID = (int *)malloc(rigidNodeCount * sizeof(int)); + if (rigidNodeID == NULL) { + FILE_LOG_SINGLE(ERROR, "Unable to alocate rigidNodeID"); + TerminateFemTech(12); + } + // Store all nodes to be made rigid + int nodePtr = 0; + for (int i = 0; i < nelements; ++i) { + if (materialID[pid[i]] == 0) { + for (int j = eptr[i]; j < eptr[i + 1]; ++j) { + rigidNodeID[nodePtr] = connectivity[j]; + nodePtr = nodePtr + 1; + } + } + } + assert(nodePtr == rigidNodeCount); + // Sort and make unique + qsort(rigidNodeID, rigidNodeCount, sizeof(int), compare); + boundarySize = unique(rigidNodeID, rigidNodeCount); + for (int i = 0; i < boundarySize; ++i) { + int index = rigidNodeID[i] * ndim; + boundary[index] = 1; + boundary[index + 1] = 1; + boundary[index + 2] = 1; + } + updateBoundaryNeighbour(); + free(rigidNodeID); + boundarySize = 0; + for (int i = 0; i < nDOF; i += 3) { + if (boundary[i]) { + boundarySize = boundarySize + 1; + } + } + + FILE_LOG(INFO, "%d nodes given rigid motion", boundarySize); + boundaryID = (int *)malloc(boundarySize * sizeof(int)); + if (boundaryID == NULL) { + FILE_LOG_SINGLE(ERROR, "Unable to alocate boundaryID"); + TerminateFemTech(12); + } + + int idIndex = 0; + for (int i = 0; i < nNodes; ++i) { + int index = i * ndim; + if (boundary[index]) { + boundaryID[idIndex] = i; + idIndex = idIndex + 1; + } + } + assert(idIndex == boundarySize); + // Setting initial conditions + for (int j = 0; j < nIntVar; ++j) { + yInt[j] = 0.0; + ydotInt[j] = 0.0; + } + // Set initial displacements, accelerations, velocities to zero + for (int i = 0; i < boundarySize; i++) { + int index = boundaryID[i] * ndim; + for (int j = 0; j < ndim; ++j) { + displacements[index + j] = 0.0; + velocities[index + j] = 0.0; + accelerations[index + j] = 0.0; + } + } + return startTime; +} + +void updateBoundaryNeighbour(void) { + int *sendNodeBoundary; + int *recvNodeBoundary; + int totalNodeToSend = sendNeighbourCountCum[sendProcessCount]; + recvNodeBoundary = (int *)malloc(ndim * totalNodeToSend * sizeof(int)); + sendNodeBoundary = (int *)malloc(ndim * totalNodeToSend * sizeof(int)); + // Update array to send + for (int i = 0; i < totalNodeToSend; ++i) { + int nodeIndex = ndim * sendNodeIndex[i]; + sendNodeBoundary[ndim * i] = boundary[nodeIndex]; + sendNodeBoundary[ndim * i + 1] = boundary[nodeIndex + 1]; + sendNodeBoundary[ndim * i + 2] = boundary[nodeIndex + 2]; + } + // Create send requests + int boundaryTag = 2798; + MPI_Request *requestListSend = + (MPI_Request *)malloc(sizeof(MPI_Request) * sendProcessCount); + for (int i = 0; i < sendProcessCount; ++i) { + int process = sendProcessID[i]; + int location = sendNeighbourCountCum[i] * ndim; + int size = ndim * sendNeighbourCount[i]; + MPI_Isend(&(sendNodeBoundary[location]), size, MPI_INT, process, + boundaryTag, MPI_COMM_WORLD, &(requestListSend[i])); + } + // Create recv requests + MPI_Request *requestListRecv = + (MPI_Request *)malloc(sizeof(MPI_Request) * sendProcessCount); + for (int i = 0; i < sendProcessCount; ++i) { + int process = sendProcessID[i]; + int location = sendNeighbourCountCum[i] * ndim; + int size = ndim * sendNeighbourCount[i]; + MPI_Irecv(&(recvNodeBoundary[location]), size, MPI_INT, process, + boundaryTag, MPI_COMM_WORLD, &(requestListRecv[i])); + } + // Wait for completion of all requests + MPI_Status status; + for (int i = 0; i < sendProcessCount; ++i) { + MPI_Wait(&(requestListSend[i]), &status); + } + for (int i = 0; i < sendProcessCount; ++i) { + MPI_Wait(&(requestListRecv[i]), &status); + } + // Update Mass values + for (int i = 0; i < totalNodeToSend; ++i) { + int nodeIndex = ndim * sendNodeIndex[i]; + if (recvNodeBoundary[ndim * i]) { + boundary[nodeIndex] = 1; + } + if (recvNodeBoundary[ndim * i + 1]) { + boundary[nodeIndex + 1] = 1; + } + if (recvNodeBoundary[ndim * i + 2]) { + boundary[nodeIndex + 2] = 1; + } + } + free(requestListSend); + free(requestListRecv); + free(recvNodeBoundary); + free(sendNodeBoundary); +} + +int getImpactID(std::string location) { + const std::map pointMap{ + {"top-right", 5285}, {"top-left", 1754}, {"front-low", 2576}, + {"front-high", 1968}, {"right-high", 5677}, {"bottom-front", 2576}, + {"top-front", 1968}, {"top-rear", 1874}}; + if (pointMap.find(location) == pointMap.end()) { + FILE_LOG_SINGLE(ERROR, + "Impact location not found, check value of impact-point"); + TerminateFemTech(11); + } + return pointMap.at(location); +} + +void computeDerivatives(const state_type &y, state_type &ydot, const double t) { + // ydot[0-2] : Store angular acceleration, alpha + // ydot[3-5] : Store derivative of rotation quaternion generator, rdot + // ydot[6-8] : Linear acceleration of the center of mass, acc + // ydot[9-11] : Linear velocity of the center of mass, vel + // Storing alpha + ydot[0] = interpolateLinear(angAccXSize, angAccXt, angAccXv, t); + ydot[1] = interpolateLinear(angAccYSize, angAccYt, angAccYv, t); + ydot[2] = interpolateLinear(angAccZSize, angAccZt, angAccZv, t); + // Linear Acceleration + ydot[6] = interpolateLinear(linAccXSize, linAccXt, linAccXv, t); + ydot[7] = interpolateLinear(linAccYSize, linAccYt, linAccYv, t); + ydot[8] = interpolateLinear(linAccZSize, linAccZt, linAccZv, t); + // Linear Velocity + ydot[9] = y[6]; + ydot[10] = y[7]; + ydot[11] = y[8]; + // rdot + // Ref: The integration of angular velocity, Michael Boyle, 2017 + // https://arxiv.org/pdf/1604.08139.pdf + double r[3]; + r[0] = y[3]; + r[1] = y[4]; + r[2] = y[5]; + double *rdot = &(ydot[3]); + double rMagnitude = sqrt(r[0] * r[0] + r[1] * r[1] + r[2] * r[2]); + if (rMagnitude < 1e-10) { + // rdot = 0.5*omega + rdot[0] = 0.5 * y[0]; + rdot[1] = 0.5 * y[1]; + rdot[2] = 0.5 * y[2]; + } else { + double rCotR = rMagnitude / tan(rMagnitude); + double omega[3]; + omega[0] = y[0]; + omega[1] = y[1]; + omega[2] = y[2]; + crossProduct(omega, r, rdot); // compute rdot = omega x r + // Normalize r by its magnitude + for (int i = 0; i < 3; ++i) { + r[i] = r[i] / rMagnitude; + } + double rDotOmega = dotProduct3D(r, omega); // compure r.omega/||r|| + for (int i = 0; i < 3; ++i) { + // Compute 0.5 omegaxr + omega*(0.5||r|| cot(||r||) + (1-||r||cot(||r||)) + // *(r.omega)*r/(2*||r||*||r||) + rdot[i] = + 0.5 * (rdot[i] + rCotR * y[i] + (1.0 - rCotR) * rDotOmega * r[i]); + } + } +} + +void WriteOutputFile() { + Json::Value output; + Json::Value vec(Json::arrayValue); + + // Write basic info that does not require any computation + if (world_rank == 0) { + output["output-file"] = outputFileName + ".pvd"; + + vec.resize(ndim); + // Write center of mass co-ordinates in JSON + for (int i = 0; i < ndim; ++i) { + vec[i] = cm[i]; + } + output["center-of-mass"] = vec; + output["code-branch"] = GIT_BRANCH; + output["code-version"] = GIT_COMMIT_HASH; + } + if (computeInjuryFlag) { + // Compute and write principal values + double maxLocationAndTime[4]; + int globalElementID; + struct { + double value; + int rank; + } parStructMax; + + /* Calculate principal min and max strain location and send to master */ + // Find the gloabl max principal strain + for (int i = 0; i < maxQuantities; ++i) { + parStructMax.value = maxValue[i]; + parStructMax.rank = world_rank; + MPI_Allreduce(MPI_IN_PLACE, &parStructMax, 1, MPI_DOUBLE_INT, + outputOperator[i], MPI_COMM_WORLD); + if (parStructMax.rank == world_rank) { + for (int j = 0; j < 4; ++j) { + maxLocationAndTime[j] = 0.0; + } + int elementID = maxElem[i]; + // Compute element coordinates + int nP = eptr[elementID + 1] - eptr[elementID]; + for (int j = eptr[elementID]; j < eptr[elementID + 1]; ++j) { + maxLocationAndTime[0] += coordinates[connectivity[j] * ndim]; + maxLocationAndTime[1] += coordinates[connectivity[j] * ndim + 1]; + maxLocationAndTime[2] += coordinates[connectivity[j] * ndim + 2]; + } + for (int j = 0; j < ndim; ++j) { + maxLocationAndTime[j] = maxLocationAndTime[j] / ((double)nP); + } + maxLocationAndTime[3] = maxTime[i]; + globalElementID = global_eid[elementID]; + if (world_rank != 0) { + MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7297 + i, + MPI_COMM_WORLD); + MPI_Send(&globalElementID, 1, MPI_INT, 0, 7297 + i, MPI_COMM_WORLD); + } + } + if (world_rank == 0) { + if (parStructMax.rank != 0) { + MPI_Recv(maxLocationAndTime, 4, MPI_DOUBLE, parStructMax.rank, 7297 + i, + MPI_COMM_WORLD, MPI_STATUS_IGNORE); + MPI_Recv(&globalElementID, 1, MPI_INT, parStructMax.rank, 7297 + i, + MPI_COMM_WORLD, MPI_STATUS_IGNORE); + } + for (int j = 0; j < ndim; ++j) { + vec[j] = maxLocationAndTime[j]; + } + output[maxOutput[i]]["value"] = parStructMax.value; + output[maxOutput[i]]["location"] = vec; + output[maxOutput[i]]["time"] = maxLocationAndTime[3]; + output[maxOutput[i]]["global-element-id"] = globalElementID; + } + } + + // Compute the volume of all parts + double volumePart[nPIDglobal]; + double elementVolume[nelements]; // For MPS computation + for (int i = 0; i < nPIDglobal; ++i) { + volumePart[i] = 0.0; + } + computePartVolume(volumePart, elementVolume); + // Compute Volume of threshold quantities + double thresholdVolume[threshQuantities]; + for (int i = 0; i < threshQuantities; ++i) { + thresholdVolume[i] = 0.0; + } + for (int i = 0; i < nElementsInjury; ++i) { + int e = elementIDInjury[i]; + double eV = elementVolume[e]; + // CSDM 5, 10, 15, 30 volume computations + if (thresholdElements[0][i]) { + thresholdVolume[0] += eV; + if (thresholdElements[1][i]) { + thresholdVolume[1] += eV; + if (thresholdElements[2][i]) { + thresholdVolume[2] += eV; + if (thresholdElements[3][i]) { + thresholdVolume[3] += eV; + } + } + } + } + // MPSR > 120 volume + if (thresholdElements[4][i]) { + thresholdVolume[4] += eV; + } + // MPSxSR > 28 volume + if (thresholdElements[5][i]) { + thresholdVolume[5] += eV; + } + } + // Calculate cumulative volume on all ranks + MPI_Allreduce(MPI_IN_PLACE, thresholdVolume, 6, MPI_DOUBLE, MPI_SUM, + MPI_COMM_WORLD); + if (world_rank == 0) { + // Excluded PID hardcoded for CSDM computation + double totalVolume = 0.0; + for (int i = 0; i < nPIDglobal; ++i) { + bool include = true; + for (int j = 0; j < injuryExcludePIDCount; ++j) { + if (injuryExcludePID[j] == i) { + include = false; + break; + } + } + if (include) { + totalVolume += volumePart[i]; + } + } + // Write brain volume in output.json + output["brain-volume"] = totalVolume; + + // Write threshold values + for (int i = 0; i < threshQuantities; ++i) { + output[thresholdTag[i]]["value"] = thresholdVolume[i] / totalVolume; + } + // Write percentile values + for (int i = 0; i < percentileQuantities; ++i) { + output[percentileTag[i]]["value"] = percentileValue[i]; + output[percentileTag[i]]["time"] = percentileTime[i]; + } + } + // Create list to write to output.json + const int outputJsonCount = 5; + std::string jsonOutputTag[outputJsonCount]; + int *outputJsonArray[outputJsonCount]; + for (int i = 0; i < csdmCount; ++i) { + jsonOutputTag[i] = thresholdTag[i]; + outputJsonArray[i] = thresholdElements[i]; + } + // Write MPS-95 elements + jsonOutputTag[csdmCount] = percentileTag[0]; + outputJsonArray[csdmCount] = percentileElements[0]; + + int *countPerProc, *cumCountPerProc, *fullElemList; + if (world_rank == 0) { + countPerProc = (int *)malloc(world_size * sizeof(int)); + cumCountPerProc = (int *)malloc(world_size * sizeof(int)); + } + for (int i = 0; i < outputJsonCount; ++i) { + int *list = outputJsonArray[i]; + int count = 0; + for (int j = 0; j < nElementsInjury; ++j) { + if (list[j]) { + count = count + 1; + } + } + int numElem = count; + int *localElemList = (int *)malloc(numElem * sizeof(int)); + count = 0; + if (numElem) { + for (int j = 0; j < nElementsInjury; ++j) { + if (list[j]) { + int e = elementIDInjury[j]; + localElemList[count] = global_eid[e]; + count = count + 1; + } + } + } + // Get total count + int totalElems = 0; + MPI_Allreduce(&numElem, &totalElems, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD); + // Get recv count + MPI_Gather(&numElem, 1, MPI_INT, countPerProc, 1, MPI_INT, 0, + MPI_COMM_WORLD); + + if (world_rank == 0) { + fullElemList = (int *)malloc(totalElems * sizeof(int)); + cumCountPerProc[0] = 0; + for (int j = 1; j < world_size; ++j) { + cumCountPerProc[j] = countPerProc[j - 1] + cumCountPerProc[j - 1]; + } + } + // Get full array + if (totalElems) { + MPI_Gatherv(localElemList, numElem, MPI_INT, fullElemList, countPerProc, + cumCountPerProc, MPI_INT, 0, MPI_COMM_WORLD); + } + if (world_rank == 0) { + Json::Value elementList(Json::arrayValue); + elementList.resize(totalElems); + for (int j = 0; j < totalElems; ++j) { + elementList[j] = fullElemList[j]; + } + free(fullElemList); + output[jsonOutputTag[i]]["global-element-id"] = elementList; + } + free(localElemList); + MPI_Barrier(MPI_COMM_WORLD); + } + if (world_rank == 0) { + free(countPerProc); + free(cumCountPerProc); + } + } + + // Write output to file + if (world_rank == 0) { + Json::StreamWriterBuilder builder; + builder["commentStyle"] = "None"; + builder["indentation"] = " "; + std::unique_ptr writer(builder.newStreamWriter()); + std::ofstream oFile(uid + "_output.json"); + writer->write(output, &oFile); + } + FILE_LOG_MASTER(INFO, "Json output file written"); +} + +void InitInjuryCriteria(void) { + // Set all min and max quantities to zero + for (int i = 0; i < maxQuantities; ++i) { + maxValue[i] = 0.0; + maxTime[i] = 0.0; + maxElem[i] = 0; + } + + for (int i = 0; i < nelements; i++) { + bool include = true; + int elementPID = pid[i]; + for (int j = 0; j < injuryExcludePIDCount; ++j) { + if (elementPID == injuryExcludePID[j]) { + include = false; + break; + } + } + if (include) { + nElementsInjury += 1; + } + } + elementIDInjury = (int *)malloc(nElementsInjury * sizeof(int)); + int count = 0; + for (int i = 0; i < nelements; i++) { + bool include = true; + int elementPID = pid[i]; + for (int j = 0; j < injuryExcludePIDCount; ++j) { + if (elementPID == injuryExcludePID[j]) { + include = false; + break; + } + } + if (include) { + elementIDInjury[count] = i; + count += 1; + } + } + + for (int i = 0; i < threshQuantities; ++i) { + thresholdElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); + } + // Write percentile values + for (int i = 0; i < percentileQuantities; ++i) { + percentileElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); + percentileTime[i] = 0.0; + percentileValue[i] = 0.0; + } + PS_Old = (double *)calloc(nElementsInjury, sizeof(double)); + PSxSRArray = (double *)calloc(nElementsInjury, sizeof(double)); + elementMPS = (double *)calloc(nelements, sizeof(double)); + initialVolume = (double *)calloc(nelements, sizeof(double)); + + // Array to output to Paraview + // All threshold elements CSDM : 5, 10, 15, 30, MPSR-120, MPSxSR-28 + for (int i = 0; i < threshQuantities; ++i) { + outputDataArray[i] = thresholdElements[i]; + } + // for (int i = 0; i < percentileQuantities; ++i) { + // outputDataArray[threshQuantities + i] = + // percentileElements[i]; + // } + outputDataArray[threshQuantities] = + percentileElements[0]; // Write MPS-95 to paraview + // Percentile Values + // Write MPS-95-Value + outputDoubleArray[0] = PS_Old; + + // Compute the initial volume of elements for MPS file + double volumePart[nPIDglobal]; + for (int i = 0; i < nPIDglobal; ++i) { + volumePart[i] = 0.0; + } + computePartVolume(volumePart, initialVolume); +} + +void CalculateInjuryCriteria(void) { + double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; + double PSR = 0.0, PSxSR = 0.0; + + for (int j = 0; j < nElementsInjury; j++) { + int i = elementIDInjury[j]; + CalculateMaximumPrincipalStrain( + i, ¤tStrainMaxElem, ¤tStrainMinElem, ¤tShearMaxElem); + if (maxValue[0] < currentStrainMaxElem) { + maxValue[0] = currentStrainMaxElem; + maxElem[0] = i; + maxTime[0] = Time; + } + if (maxValue[3] > currentStrainMinElem) { + maxValue[3] = currentStrainMinElem; + maxElem[3] = i; + maxTime[3] = Time; + } + if (maxValue[1] < currentShearMaxElem) { + maxValue[1] = currentShearMaxElem; + maxElem[1] = i; + maxTime[1] = Time; + } + // Update csdm element list + for (int k = 0; k < csdmCount; ++k) { + if (!thresholdElements[k][j]) { + if (currentStrainMaxElem > csdmLimits[k]) { + thresholdElements[k][j] = 1; + } + } + } + // Compute maxPSxSR + // Compute principal strain rate using first order backaward distance + PSR = (currentStrainMaxElem - PS_Old[j]) / dt; + // TODO(Anil) : Sould absolute value be used for PSR ? + PSxSR = currentStrainMaxElem * PSR; + if (maxValue[2] < PSxSR) { + maxValue[2] = PSxSR; + maxElem[2] = i; + maxTime[2] = Time; + } + // Calculate MPSR 120 + if (!thresholdElements[csdmCount][j]) { + if (PSR > 120.0) { + thresholdElements[csdmCount][j] = 1; + } + } + // Calculate MPSxSR 28 + if (!thresholdElements[csdmCount + 1][j]) { + if (PSxSR > 28.0) { + thresholdElements[csdmCount + 1][j] = 1; + } + } + PS_Old[j] = currentStrainMaxElem; + PSxSRArray[j] = PSxSR; + if (currentStrainMaxElem > elementMPS[i]) { + elementMPS[i] = currentStrainMaxElem; + } + } // For loop over elements included for injury + + // Compute 95 percentile MPS and corresponding element list + double MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); + if (MPS95 > percentileValue[0]) { + memset(percentileElements[0], 0, nElementsInjury * sizeof(int)); + percentileValue[0] = MPS95; + percentileTime[0] = Time; + for (int j = 0; j < nElementsInjury; j++) { + if (PS_Old[j] >= MPS95) { + percentileElements[0][j] = 1; + } + } + } + + // Compute 95 percentile MPSxSR and corresponding element list + double MPSxSR95 = compute95thPercentileValue(PSxSRArray, nElementsInjury); + if (MPSxSR95 > percentileValue[1]) { + memset(percentileElements[1], 0, nElementsInjury * sizeof(int)); + percentileValue[1] = MPSxSR95; + percentileTime[1] = Time; + int count = 0; + for (int j = 0; j < nElementsInjury; j++) { + if (PSxSRArray[j] >= MPSxSR95) { + percentileElements[1][j] = 1; + } + } + } +} + +void TransformMesh(const Json::Value &jsonInput) { + double cordAngularSensor[3]; + // Check if mesh-transformation key is present in the input json file + // If present transform mesh, otherwise subtract center of mass + if (!jsonInput["head-cg"].empty()) { + cm[0] = jsonInput["head-cg"][0].asDouble(); + cm[1] = jsonInput["head-cg"][1].asDouble(); + cm[2] = jsonInput["head-cg"][2].asDouble(); + FILE_LOG_MASTER(INFO, "Center of Mass used : (%15.9e, %15.9e, %15.9e)", + cm[0], cm[1], cm[2]); + } else { + GetBodyCenterofMass(cm); + FILE_LOG_MASTER( + INFO, "Brain+Skull Center of Mass used : (%15.9e, %15.9e, %15.9e)", + cm[0], cm[1], cm[2]); + } + if (!jsonInput["angular-sensor-position"].empty()) { + cordAngularSensor[0] = jsonInput["angular-sensor-position"][0].asDouble(); + cordAngularSensor[1] = jsonInput["angular-sensor-position"][1].asDouble(); + cordAngularSensor[2] = jsonInput["angular-sensor-position"][2].asDouble(); + FILE_LOG_MASTER( + INFO, "Angular sensor data about : (%15.9e, %15.9e, %15.9e)", + cordAngularSensor[0], cordAngularSensor[1], cordAngularSensor[2]); + } else { + for (unsigned int i = 0; i < ndim; ++i) { + cordAngularSensor[i] = cm[i]; + } + FILE_LOG_MASTER(INFO, "Angular sensor data about center of mass"); + } + if (!jsonInput["mesh-transformation"].empty()) { + double factor[ndim]; + int index[ndim]; + for (int i = 0; i < ndim; ++i) { + index[i] = -10; + std::string tr = jsonInput["mesh-transformation"][i].asString(); + if (tr.length() == 2) { + switch (tr.at(1)) { + case 'x': + index[i] = 0; + break; + case 'y': + index[i] = 1; + break; + case 'z': + index[i] = 2; + break; + default: + FILE_LOG_MASTER(ERROR, "Mesh transformation has to be x/y/z"); + TerminateFemTech(12); + break; + } + switch (tr.at(0)) { + case '-': + factor[i] = -1; + break; + case '+': + factor[i] = 1; + break; + default: + FILE_LOG_MASTER( + ERROR, "Prefix of axis not -/+, check input mesh-transformation"); + TerminateFemTech(12); + break; + } + } else { + if (tr.length() == 1) { + factor[i] = 1; + switch (tr.at(0)) { + case 'x': + index[i] = 0; + break; + case 'y': + index[i] = 1; + break; + case 'z': + index[i] = 2; + break; + default: + FILE_LOG_MASTER(ERROR, "Mesh transformation has to be x/y/z"); + TerminateFemTech(12); + break; + } + } else { + FILE_LOG_MASTER( + ERROR, "Error in mesh transformation. Please check input file"); + TerminateFemTech(12); + } + } + } + // Validate the input + int indexSum = index[0] + index[1] + index[2]; + if (indexSum != 3) { + FILE_LOG_MASTER(ERROR, + "Error in mesh transformation. x, y and z not present"); + TerminateFemTech(12); + } + if ((index[0] != 0) && (index[1] != 0) && (index[2] != 0)) { + FILE_LOG_MASTER(ERROR, "Error in mesh transformation. x not present"); + TerminateFemTech(12); + } + // Transform center of mass + double coordTemp[ndim]; + // Transform center of mass based on the transformation + for (int i = 0; i < ndim; ++i) { + int transformedIndex = index[i]; + coordTemp[transformedIndex] = cm[i] * factor[i]; + } + // Assign cm array with transformed co-ordinates + for (int i = 0; i < ndim; ++i) { + cm[i] = coordTemp[i]; + } + // Transform angular sensor position + for (int i = 0; i < ndim; ++i) { + int transformedIndex = index[i]; + coordTemp[transformedIndex] = cordAngularSensor[i] * factor[i]; + } + for (int i = 0; i < ndim; ++i) { + cordAngularSensor[i] = coordTemp[i]; + } + // Transform all corodinates and subtract angular sensor position. + // Transform all local co-ordinates + for (int j = 0; j < nNodes; ++j) { + for (int i = 0; i < ndim; ++i) { + int transformedIndex = index[i]; + coordTemp[transformedIndex] = coordinates[i + ndim * j] * factor[i]; + } + for (int i = 0; i < ndim; ++i) { + coordinates[i + ndim * j] = coordTemp[i] - cordAngularSensor[i]; + } + } + // Get center of mass wrt angular sensor position + for (int i = 0; i < ndim; ++i) { + cm[i] = cm[i] - cordAngularSensor[i]; + } + } else { + // Subtract angular sensor position from co-ordinates + for (int j = 0; j < nNodes; ++j) { + for (int i = 0; i < ndim; ++i) { + coordinates[i + ndim * j] = + coordinates[i + ndim * j] - cordAngularSensor[i]; + } + } + // Get center of mass wrt angular sensor position + for (int i = 0; i < ndim; ++i) { + cm[i] = cm[i] - cordAngularSensor[i]; + } + } + // Ensure rest of the code is executed after the mesh transformation + MPI_Barrier(MPI_COMM_WORLD); +} + +void WriteMPS(void) { + MPI_File mpsFilePtr; + MPI_Info infoin; + MPI_Info_create(&infoin); + MPI_Info_set(infoin, "access_style", "write_once,random"); + char fileName[] = "MPSfile.dat"; + + int err; + err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); + if (err != MPI_SUCCESS) { + if (world_rank == 0) { + MPI_File_delete(fileName, MPI_INFO_NULL); + } + err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); + if (err != MPI_SUCCESS) { + FILE_LOG_SINGLE(ERROR, "Unable to open MPS file"); + return; + } + } + + const unsigned int lineSize = 39; + char s2[lineSize] = {0}; + unsigned int offset = 0; + + for (unsigned int i = 0; i < nelements; ++i) { + offset = (global_eid[i]-1)*lineSize; + sprintf(s2, "%06d, %14.5e, %14.5e\n", global_eid[i], elementMPS[i], initialVolume[i]); + MPI_File_write_at(mpsFilePtr, offset, 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2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -3 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -4 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -5 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -6 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -7 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -8 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -9 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 - +0 0 2000 +1 7 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 +2 7 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 +3 7 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 +4 7 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 +5 7 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 +6 7 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 +7 7 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 +8 7 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 +9 7 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 # form of file # partID (starting at 0), material ID (goes with consitutive model), ... diff --git a/src/io/input/ReadInputFile.cpp b/src/io/input/ReadInputFile.cpp index 6ec4c9c8..90486735 100644 --- a/src/io/input/ReadInputFile.cpp +++ b/src/io/input/ReadInputFile.cpp @@ -65,6 +65,7 @@ void ReadInputFile(const char *FileName) { MPI_COMM_WORLD); nPIDglobal = globalPIDmax; nDOF = nNodes * ndim; + FILE_LOGArrayInt(DEBUGLOGIGNORE, sortedPID, nPID, \ "Number of local pid : %d, global : %d", nPID, nPIDglobal); diff --git a/src/materials/Ogden.cpp b/src/materials/Ogden.cpp index 81c90269..c4589f1e 100644 --- a/src/materials/Ogden.cpp +++ b/src/materials/Ogden.cpp @@ -3,6 +3,7 @@ #include "lapack.h" #include +#include /* Implements the Ogden Model * Expected material properties : @@ -11,22 +12,22 @@ * N_{Ogden} = properties(2), maximum value of 3 * \alpha_i = properties(3+2*i) i = 0 to N_{Ogden}-1 * \mu_i = properties(4+2*i) i = 0 to N_{Ogden}-1 - * N_{Prony} = properties(3+N_{Ogden}*2), maximum value of 6 - * g_i = properties(4+2*N_{Ogden}+2*j) j = 0 to N_{Prony}-1 - * \tau_i = properties(5+2*N_{Ogden}+2*j) j = 0 to N_{Prony}-1 - * MAXMATPARAMS = 4+2*(N_{Ogden}+N_{Prony}) = 22 + * MAXMATPARAMS = 4+2*N_{Ogden} = 10 * */ +/* + * compute Cauchy Stress \sigma + * \sigma = \Sum_{i=0}^{3} ((\Sum_{j=0}^{N} mu_j [\overline{\lambda}_i^{\alpha_j} + * - (\overline{\lambda}_1^{\alpha_j}+\overline{\lambda}_2^{\alpha_j}+ + * \overline{\lambda}_3^{\alpha_j})/3.0])) (n_i \dyadic n_i) + K*(J-1)/J + */ + void Ogden(int e, int gp) { if (ndim == 2) { FILE_LOG_SINGLE(ERROR, "Plane Strain implementation yet to be done"); TerminateFemTech(3); } // Assumes ndim == 3 - // Pointer to start of deformation gradient matrix for given element number - // and Gauss point - const int index = fptr[e] + ndim * ndim * gp; - // Get material property ID to read material properties const int pideIndex = pid[e]*MAXMATPARAMS; // Get location of array with material properties of the element @@ -34,35 +35,30 @@ void Ogden(int e, int gp) { // Read material properties const double K = localProperties[1]; const int nTerm = static_cast(localProperties[2]); - const unsigned int matSize = ndim * ndim; + + // b = F F^T double *H = mat1; ComputeH(e, gp, H); // Compute and store F = H + I + const unsigned int index = fptr[e] + ndim2 * gp; double * const F_element_gp = &(F[index]); for (unsigned int i = 0; i < ndim2; ++i) { - F_element_gp[i] = H[i]; - } + F_element_gp[i] = H[i]; + } F_element_gp[0] = F_element_gp[0] + 1.0; F_element_gp[4] = F_element_gp[4] + 1.0; F_element_gp[8] = F_element_gp[8] + 1.0; - // Use temp storage mat2 for Finverse - double *fInv = mat2; - // Compute F inverse - double J = inverse3x3Matrix(F_element_gp, fInv); - //InverseF(e, gp, fInv); - // Use temp storage 2 for storing Bmat - double *Bmat = mat3; - // Compute B = FF^T and compute its eigen values + double *b = mat2; + // Compute F F^T and store to b dgemm_(chn, chy, &ndim, &ndim, &ndim, &one, F_element_gp, &ndim, - F_element_gp, &ndim, &zero, Bmat, &ndim); - - double invJ = 1.0/J; + F_element_gp, &ndim, &zero, b, &ndim); // Compute eigen values and eigenvectors of B - int nEigen; double cEigenValue[ndim]; double dWork[workSize]; - - // Correct Eigen Values for numerical inaccuracy + dsyev_(jobzV, uploU, &ndim, b, &ndim, cEigenValue, dWork, &workSize, &info); + // b now contains the eigen vectors of b + + // Correct Eigen Values for numerical inaccuracy double delat01 = fabs(cEigenValue[0] - cEigenValue[1]); double delat12 = fabs(cEigenValue[1] - cEigenValue[2]); double delat02 = fabs(cEigenValue[0] - cEigenValue[2]); @@ -72,35 +68,47 @@ void Ogden(int e, int gp) { if (delat02 < eigenTol) cEigenValue[2] = cEigenValue[0]; if (delat12 < eigenTol) cEigenValue[2] = cEigenValue[1]; - dsyev_(jobzV, uploU, &ndim, Bmat, &ndim, cEigenValue, dWork, &workSize, &info); - // Compute sqrt of lambda and multiply by J^{-1/3} + const double J = det3x3Matrix(F_element_gp); const double Jm13 = pow(J, -1.0/3.0); + const double invJ = 1.0/J; + + double eigenPower[ndim*nTerm]; + double eigenPowerSum[nTerm]; + for (int j = 0; j < nTerm; ++j) { + eigenPowerSum[j] = 0.0; + } for (int i = 0; i < ndim; ++i) { - cEigenValue[i] = sqrt(cEigenValue[i])*Jm13; + const double lambdaBar = Jm13*sqrt(cEigenValue[i]); + for (int j = 0; j < nTerm; ++j) { + const double alpha = localProperties[3+j*2]; + const double lambdaBarAlpha = pow(lambdaBar, alpha); + eigenPowerSum[j] += lambdaBarAlpha; + eigenPower[i*nTerm+j] = lambdaBarAlpha; + } + } + for (int j = 0; j < nTerm; ++j) { + eigenPowerSum[j] /= 3.0; } - // Compute F^-1(cEigenVector) - // Each column of basisVec points to F^{-1}*e where e is the eigen vector of B - // matrix - //double *basisVec = mat3; - //dgemm_(chn, chn, &ndim, &ndim, &ndim, &one, fInv, &ndim, - // Bmat, &ndim, &zero, basisVec, &ndim); - double *sigma_e = mat1; //check - for(int i = 0; i Date: Mon, 6 Sep 2021 11:26:50 +0530 Subject: [PATCH 055/106] Updated full brain model with visco elasticity --- examples/ex5/materials.dat | 25 +++++++++++++------------ examples/ex9/ex9.cpp | 19 +++++++++++-------- examples/ex9/materials.dat | 4 +++- src/fem/SolidMechanics/CheckEnergy.cpp | 14 +++++++------- src/materials/OgdenViscoelastic.cpp | 2 -- 5 files changed, 34 insertions(+), 30 deletions(-) diff --git a/examples/ex5/materials.dat b/examples/ex5/materials.dat index 96c837b8..c7af0e27 100644 --- a/examples/ex5/materials.dat +++ b/examples/ex5/materials.dat @@ -1,13 +1,13 @@ -0 0 1500 -1 5 1000 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -2 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -3 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -4 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -5 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -6 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -7 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -8 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 -9 5 1100 2673.23 2.19e8 25459 0 2 0.6521 0.0129 0.0067 0.0747 +0 0 2000 +1 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +2 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +3 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +4 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +5 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +6 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +7 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +8 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +9 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 # form of file @@ -20,6 +20,7 @@ # mat ID 3 - Linear Elasticity : density mu lambda # mat ID 4 - HGO Isotropic : density mu lambda k1 k2 # mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 K k1 k2 n g1 t1 g2 -# t2 .... gn tn -# gi's ti's are pairs of n term Prony series +# t2 .... gn tn gi's ti's are pairs of n term Prony series # mat ID 6 - Viscoelastic : density(Kg/m^3) K(Pa) G_0(Pa) G_\infity(Pa) \beta(1/s) +# mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N +# mat ID 8 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 6ff26826..b2014ddb 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -19,7 +19,9 @@ int plotElemID = 0; double Time, dt; int nSteps; -double dynamicDamping = 0.0; +double dynamicDamping = 0.01; +// 0.2 : Very bad stress, displacement match +// 0.002 : Works for Ogden material model double ExplicitTimeStepReduction = 0.7; double FailureTimeStep = 1e-11; double MaxTimeStep = 1e-1; @@ -32,7 +34,8 @@ bool ExplicitDynamic = true; // Parameters of simple tension test double tMax = 1.00; // max simulation time in seconds -double dMax = 0.007; // max displacment in meters +double dMax = 0.005; // max displacment in meters +// double dMax = -0.002; // max displacment in meters int main(int argc, char **argv) { // feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); @@ -63,12 +66,12 @@ int main(int argc, char **argv) { ShapeFunctions(); // Check if the problem is viscoelastic or not bool viscoElastic = false; - // for (int i = 0; i < nelements; ++i) { - // if (nProny[i]) { - // viscoElastic = true; - // break; - // } - // } + for (int i = 0; i < nelements; ++i) { + if (nProny[i]) { + viscoElastic = true; + break; + } + } /* Step-1: Calculate the mass matrix similar to that of belytschko. */ AssembleLumpedMass(); InitVelocityBoundaryConditions(); diff --git a/examples/ex9/materials.dat b/examples/ex9/materials.dat index 65598aa2..9f6a21e5 100644 --- a/examples/ex9/materials.dat +++ b/examples/ex9/materials.dat @@ -1,4 +1,6 @@ -0 6 1040 558.47e6 928 1.66e3 16.95 +0 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 + +# 0 7 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 # 0 7 1040 9.996667e5 2 10.1 53.8 -12.9 -120.4 diff --git a/src/fem/SolidMechanics/CheckEnergy.cpp b/src/fem/SolidMechanics/CheckEnergy.cpp index 70c47bf7..6d84cb51 100644 --- a/src/fem/SolidMechanics/CheckEnergy.cpp +++ b/src/fem/SolidMechanics/CheckEnergy.cpp @@ -67,9 +67,9 @@ void CheckEnergy(double time, bool writeFlag) { Wint_n += Wint_n_total; Wext_n += Wext_n_total; double total = fabs(WKE_Total + Wint_n - Wext_n); - FILE_LOG_SINGLE(WARNING, "Internal Work : %15.9e", Wint_n); - FILE_LOG_SINGLE(WARNING, "External Work : %15.9e", Wext_n); - FILE_LOG_SINGLE(WARNING, "Kinetic Energy : %15.9e", WKE_Total); + // FILE_LOG_SINGLE(WARNING, "Internal Work : %15.9e", Wint_n); + // FILE_LOG_SINGLE(WARNING, "External Work : %15.9e", Wext_n); + // FILE_LOG_SINGLE(WARNING, "Kinetic Energy : %15.9e", WKE_Total); // FILE_LOG_SINGLE(WARNING, "Total Energy : %15.9e", total); double max = fabs(Wint_n); @@ -81,10 +81,10 @@ void CheckEnergy(double time, bool writeFlag) { } const double epsilon = 0.01; if (total > epsilon * max) { - FILE_LOG_MASTER( - WARNING, - "Energy Violation. Total = %15.9e, Max = %15.9e, Error\% : %10.2f", - total, max, total * 100.0 / max); + // FILE_LOG_MASTER( + // WARNING, + // "Energy Violation. Total = %15.9e, Max = %15.9e, Error\% : %10.2f", + // total, max, total * 100.0 / max); } if (writeFlag) { fprintf(energyFile, "%12.6e %12.6e %12.6e %12.6e %12.6e\n", time, diff --git a/src/materials/OgdenViscoelastic.cpp b/src/materials/OgdenViscoelastic.cpp index 63be355f..e360fbab 100644 --- a/src/materials/OgdenViscoelastic.cpp +++ b/src/materials/OgdenViscoelastic.cpp @@ -123,7 +123,6 @@ void OgdenViscoelastic(int e, int gp) { preFactor /= cEigenValue[i]; dyadic(&Cmat[3*i], preFactor, devS0np1); } - FILE_LOG_SINGLE(WARNING, "Trace of devS0np1 = %15.9f", devS0np1[0]+devS0np1[4]+devS0np1[8]); // Access histroy dependence double *Sdev = mat4; @@ -161,7 +160,6 @@ void OgdenViscoelastic(int e, int gp) { // Compute deviatoric part of sigmaTilde and add the isochoric part to obtain // sigma - FILE_LOG_SINGLE(WARNING, "Trace of sigma = %15.9f", sigma[0]+sigma[4]+sigma[8]); const double volum = invJ*K*(J-1.0); // Compute sigma double* sigma_e = sigma; From 74e2a107aeb459f471058b14f3a4cd91f352718a Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 6 Sep 2021 13:07:08 +0530 Subject: [PATCH 056/106] Changes to codes for travis test success --- .travis.yml | 2 +- examples/ex1/ex1.cpp | 2 + examples/ex10/ex10.cpp | 3 + examples/ex18/ex18.cpp | 2 + examples/ex9/CMakeLists.txt | 1 + examples/ex9/compareResults.py | 7 +- examples/ex9/ls-dyna/ogdenDisplacement.txt | 52 ++++++ examples/ex9/materials.dat | 6 +- examples/ex9/tensionMesh.k | 202 +++++++++++++++++++++ 9 files changed, 269 insertions(+), 8 deletions(-) create mode 100644 examples/ex9/ls-dyna/ogdenDisplacement.txt create mode 100644 examples/ex9/tensionMesh.k diff --git a/.travis.yml b/.travis.yml index 5f0c4ac2..cd909323 100644 --- a/.travis.yml +++ b/.travis.yml @@ -50,7 +50,7 @@ script: - make -j 4 # test example 9 - cd ./examples/ex9/ - - mpirun -n 1 --mca btl_base_warn_component_unused 0 ex9 1-elt-cube.k + - mpirun -n 4 --mca btl_base_warn_component_unused 0 ex9 tensionMesh.k - python compareResults.py # test example 1 - cd ../ex1 diff --git a/examples/ex1/ex1.cpp b/examples/ex1/ex1.cpp index 7bfec195..f4e43ef1 100644 --- a/examples/ex1/ex1.cpp +++ b/examples/ex1/ex1.cpp @@ -5,6 +5,8 @@ bool ImplicitDynamic = true; bool ExplicitDynamic = false; +double Time = 0.0; + int main(int argc, char **argv){ // Initialize the MPI environment diff --git a/examples/ex10/ex10.cpp b/examples/ex10/ex10.cpp index acb572c7..21d122eb 100644 --- a/examples/ex10/ex10.cpp +++ b/examples/ex10/ex10.cpp @@ -17,6 +17,9 @@ bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; + +double dynamicDamping = 0.01; + int main(int argc, char **argv) { InitFemTechWoInput(argc, argv); diff --git a/examples/ex18/ex18.cpp b/examples/ex18/ex18.cpp index 0a6eb64c..363e2648 100644 --- a/examples/ex18/ex18.cpp +++ b/examples/ex18/ex18.cpp @@ -39,6 +39,8 @@ double MaxTimeStep = 1e-5; int nPlotSteps = 50; int nWriteSteps = 2000; +double dynamicDamping = 0.01; + /* Global variables used only in this file */ int nodeIDtoPlot; bool rankForCustomPlot; diff --git a/examples/ex9/CMakeLists.txt b/examples/ex9/CMakeLists.txt index 237196d7..35ef21bd 100644 --- a/examples/ex9/CMakeLists.txt +++ b/examples/ex9/CMakeLists.txt @@ -11,6 +11,7 @@ else() endif(ENABLE_MPI) file(INSTALL 1-elt-cube.k DESTINATION .) +file(INSTALL tensionMesh.k DESTINATION .) file(INSTALL materials.dat DESTINATION .) file(INSTALL compareResults.py DESTINATION .) file(INSTALL gnuplot.script DESTINATION .) diff --git a/examples/ex9/compareResults.py b/examples/ex9/compareResults.py index 12eb9b6e..ca6aa909 100644 --- a/examples/ex9/compareResults.py +++ b/examples/ex9/compareResults.py @@ -12,10 +12,13 @@ def getLastLine(fname): return np.array(array) femTech = getLastLine('plot.dat') -abaqus = getLastLine('abaqus/abaqus.rpt') +abaqus = getLastLine('ls-dyna/ogdenDisplacement.txt') + +print(femTech) +print(abaqus) tF = femTech[0]; xF = femTech[1:]; -tA = abaqus[0]; xA = abaqus[10:13]; +tA = abaqus[0]; xA = abaqus[1:]; dT = np.abs((tF-tA)*100.0/tA); dX = np.abs((xF-xA)*100.0/xA); diff --git a/examples/ex9/ls-dyna/ogdenDisplacement.txt b/examples/ex9/ls-dyna/ogdenDisplacement.txt new file mode 100644 index 00000000..78cb1fb0 --- /dev/null +++ b/examples/ex9/ls-dyna/ogdenDisplacement.txt @@ -0,0 +1,52 @@ + 0.000000000000e+00 0.000000000000e+00 0.000000000000e+00 0.000000000000e+00 + 1.999999769032e-02 -4.928605630994e-05 1.000002957880e-04 -4.929304122925e-05 + 3.999945148826e-02 -9.708059951663e-05 1.999973319471e-04 -9.708758443594e-05 + 5.999894440174e-02 -1.434539444745e-04 2.999948337674e-04 -1.434604637325e-04 + 7.999805361032e-02 -1.885914243758e-04 3.999904729426e-04 -1.885993406177e-04 + 9.999854862690e-02 -2.325698733330e-04 4.999926313758e-04 -2.325759269297e-04 + 1.199980154634e-01 -2.753841690719e-04 5.999901331961e-04 -2.753864973783e-04 + 1.399997621775e-01 -3.170315176249e-04 6.999988108873e-04 -3.170366398990e-04 + 1.599995791912e-01 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0.0025 0 0 - 75 0.005 0.005 0.0025 0 0 - 76 0.0 0.0 0.00375 0 0 - 77 0.00125 0.0 0.00375 0 0 - 78 0.0025 0.0 0.00375 0 0 - 79 0.00375 0.0 0.00375 0 0 - 80 0.005 0.0 0.00375 0 0 - 81 0.0 0.00125 0.00375 0 0 - 82 0.00125 0.00125 0.00375 0 0 - 83 0.0025 0.00125 0.00375 0 0 - 84 0.00375 0.00125 0.00375 0 0 - 85 0.005 0.00125 0.00375 0 0 - 86 0.0 0.0025 0.00375 0 0 - 87 0.00125 0.0025 0.00375 0 0 - 88 0.0025 0.0025 0.00375 0 0 - 89 0.00375 0.0025 0.00375 0 0 - 90 0.005 0.0025 0.00375 0 0 - 91 0.0 0.00375 0.00375 0 0 - 92 0.00125 0.00375 0.00375 0 0 - 93 0.0025 0.00375 0.00375 0 0 - 94 0.00375 0.00375 0.00375 0 0 - 95 0.005 0.00375 0.00375 0 0 - 96 0.0 0.005 0.00375 0 0 - 97 0.00125 0.005 0.00375 0 0 - 98 0.0025 0.005 0.00375 0 0 - 99 0.00375 0.005 0.00375 0 0 - 100 0.005 0.005 0.00375 0 0 - 101 0.0 0.0 0.005 0 0 - 102 0.00125 0.0 0.005 0 0 - 103 0.0025 0.0 0.005 0 0 - 104 0.00375 0.0 0.005 0 0 - 105 0.005 0.0 0.005 0 0 - 106 0.0 0.00125 0.005 0 0 - 107 0.00125 0.00125 0.005 0 0 - 108 0.0025 0.00125 0.005 0 0 - 109 0.00375 0.00125 0.005 0 0 - 110 0.005 0.00125 0.005 0 0 - 111 0.0 0.0025 0.005 0 0 - 112 0.00125 0.0025 0.005 0 0 - 113 0.0025 0.0025 0.005 0 0 - 114 0.00375 0.0025 0.005 0 0 - 115 0.005 0.0025 0.005 0 0 - 116 0.0 0.00375 0.005 0 0 - 117 0.00125 0.00375 0.005 0 0 - 118 0.0025 0.00375 0.005 0 0 - 119 0.00375 0.00375 0.005 0 0 - 120 0.005 0.00375 0.005 0 0 - 121 0.0 0.005 0.005 0 0 - 122 0.00125 0.005 0.005 0 0 - 123 0.0025 0.005 0.005 0 0 - 124 0.00375 0.005 0.005 0 0 - 125 0.005 0.005 0.005 0 0 -*END From cb68c7f2f44b27072a613cd872b44f84a812e6bf Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 6 Sep 2021 14:49:30 +0530 Subject: [PATCH 058/106] Reduced test count for 10min cap travis-ci --- .travis.yml | 2 +- examples/ex5/input_test_pt.json | 2 +- examples/ex5/input_test_s.json | 2 +- examples/ex5/input_test_st.json | 4 ++-- examples/ex5/test_ex5.sh | 11 ++++++----- 5 files changed, 11 insertions(+), 10 deletions(-) diff --git a/.travis.yml b/.travis.yml index 040b3766..5f0c4ac2 100644 --- a/.travis.yml +++ b/.travis.yml @@ -50,7 +50,7 @@ script: - make -j 4 # test example 9 - cd ./examples/ex9/ - - mpirun -n 4 --mca btl_base_warn_component_unused 0 ex9 1-elt-cube.k + - mpirun -n 1 --mca btl_base_warn_component_unused 0 ex9 1-elt-cube.k - python compareResults.py # test example 1 - cd ../ex1 diff --git a/examples/ex5/input_test_pt.json b/examples/ex5/input_test_pt.json index 9b57045a..9c71c173 100644 --- a/examples/ex5/input_test_pt.json +++ b/examples/ex5/input_test_pt.json @@ -134,7 +134,7 @@ -951.82, -988.83, -1023.79, -1056.2, -1085.95, -1113.18, -1137.91, -1159.67, -1177.15, -1188.08, -1189.25, -1176.95, -1147.52, -1098.23, -1028.14, -938.99, -835.8, -727.09, -624.53, -541, -486.21] }, - "maximum-time" : 0.5, + "maximum-time" : 0.2, "mesh-transformation" : ["-y", "z", "-x"], "head-cg" : [0.0, -0.3308, -0.037], "write-vtu" : true diff --git a/examples/ex5/input_test_s.json b/examples/ex5/input_test_s.json index 7b5657dc..84f06c98 100644 --- a/examples/ex5/input_test_s.json +++ b/examples/ex5/input_test_s.json @@ -22,7 +22,7 @@ "zv": [ 0, 0, 0 ], "zt": [0, 20, 40] }, - "maximum-time": 0.4, + "maximum-time": 0.2, "mesh-transformation" : ["-z", "-x", "y"], "head-cg" : [0.0, -0.3308, -0.037], "angular-sensor-position": [ 0.025, -0.281, -0.089757 ], diff --git a/examples/ex5/input_test_st.json b/examples/ex5/input_test_st.json index c59e9019..5cf3044f 100644 --- a/examples/ex5/input_test_st.json +++ b/examples/ex5/input_test_st.json @@ -1,5 +1,5 @@ { - "event_id": "test_st", + "uid": "test_st", "player": { "name" : "harry", "position" : "OL" @@ -22,7 +22,7 @@ "zv": [ 0, 0, 0 ], "zt": [0, 20, 40] }, - "maximum-time": 0.4, + "maximum-time": 0.2, "mesh-transformation" : ["y", "-z", "-x"], "head-cg" : [0.0, -0.3308, -0.037], "write-vtu" : false diff --git a/examples/ex5/test_ex5.sh b/examples/ex5/test_ex5.sh index 9b7d98df..b306f610 100755 --- a/examples/ex5/test_ex5.sh +++ b/examples/ex5/test_ex5.sh @@ -7,13 +7,14 @@ set -eo pipefail cd "$(dirname "$0")" # input_test_?.json array -testInputFiles=( p1 pt x s ) +# testInputFiles=( p1 pt x s ) +testInputFiles=( pt x ) # Values of element id expected in the order, max-shear, min-principal, # max-principal value_p1=( 9821 7323 10243 ) -value_pt=( 10223 10223 10223 ) -value_s=( 15186 12602 15186 ) -value_x=( 7740 7740 7740 ) +value_pt=( 13880 13880 9867 ) +value_x=( 7838 7838 7838 ) +value_s=( 7740 7740 7740 ) # Run all tests and check output for name in "${testInputFiles[@]}" @@ -27,7 +28,7 @@ do if [ -e $output_filename ]; then rm $output_filename fi - mpirun --oversubscribe -np 8 -mca btl_base_warn_component_unused 0 -mca btl_vader_single_copy_mechanism none ex5 $input_filename + mpirun --oversubscribe -np 2 -mca btl_base_warn_component_unused 0 -mca btl_vader_single_copy_mechanism none ex5 $input_filename simulationSuccess=$? if [ $simulationSuccess -eq 0 ]; then if [ -e $output_filename ]; then From 7fbf452469b814736ca354f520a6014b978c3217 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 6 Sep 2021 14:55:15 +0530 Subject: [PATCH 059/106] Minor change to ogden tension result comparison --- examples/ex9/compareResults.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ex9/compareResults.py b/examples/ex9/compareResults.py index ca6aa909..be6023c4 100644 --- a/examples/ex9/compareResults.py +++ b/examples/ex9/compareResults.py @@ -11,7 +11,7 @@ def getLastLine(fname): array = map(float, lastLine.split()) return np.array(array) -femTech = getLastLine('plot.dat') +femTech = getLastLine('displacement.dat') abaqus = getLastLine('ls-dyna/ogdenDisplacement.txt') print(femTech) From 0d41327f911f00f1092e38cc3bd4f317e7d31fb3 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 6 Sep 2021 15:41:23 +0530 Subject: [PATCH 060/106] possible platform dependent bug in ex5 orrected --- examples/ex5/ex5.cpp | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index e37c39c6..282528d0 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -1789,14 +1789,15 @@ void WriteMPS(void) { } } - const unsigned int lineSize = 39; - char s2[lineSize] = {0}; + const unsigned int lineSize = 50; + char s2[lineSize] = {0}, s3[lineSize]; unsigned int offset = 0; for (unsigned int i = 0; i < nelements; ++i) { offset = (global_eid[i]-1)*lineSize; sprintf(s2, "%06d, %14.5e, %14.5e\n", global_eid[i], elementMPS[i], initialVolume[i]); - MPI_File_write_at(mpsFilePtr, offset, s2, lineSize, MPI_CHAR, MPI_STATUS_IGNORE); + sprintf(s3, "%50s", s2); + MPI_File_write_at(mpsFilePtr, offset, s3, lineSize, MPI_CHAR, MPI_STATUS_IGNORE); } MPI_File_close(&mpsFilePtr); From 727e143c5fdc317176096d3d7396ae9e6b82e9e8 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 6 Sep 2021 16:36:41 +0530 Subject: [PATCH 061/106] Minor bug when running on travis --- examples/ex5/ex5.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 282528d0..18e84845 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -1796,7 +1796,7 @@ void WriteMPS(void) { for (unsigned int i = 0; i < nelements; ++i) { offset = (global_eid[i]-1)*lineSize; sprintf(s2, "%06d, %14.5e, %14.5e\n", global_eid[i], elementMPS[i], initialVolume[i]); - sprintf(s3, "%50s", s2); + sprintf(s3, "%49s", s2); MPI_File_write_at(mpsFilePtr, offset, s3, lineSize, MPI_CHAR, MPI_STATUS_IGNORE); } From 715bb867f6234d7354bd17745bef71b4c6bbe6fb Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 7 Sep 2021 12:40:50 +0530 Subject: [PATCH 062/106] Added CSDM-3, region wise MPS --- examples/ex5/ex5.cpp | 58 +++++++++++++++----------------- examples/ex5/updateOutputJson.py | 24 ++++++++++--- 2 files changed, 47 insertions(+), 35 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 18e84845..edda1026 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -90,17 +90,18 @@ double percentileTime[percentileQuantities]; double percentileValue[percentileQuantities]; const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95"}; /* Threshold variables */ -/* 0. MPS > 5 - * 1. MPS > 10 - * 2. MPS > 15 - * 3. MPS > 30 - * 4. MPSR > 120 1/s - * 5. MPSxSR > 28 1/s +/* 0. MPS > 3 + * 1. MPS > 5 + * 2. MPS > 10 + * 3. MPS > 15 + * 4. MPS > 30 + * 5. MPSR > 120 1/s + * 6. MPSxSR > 28 1/s */ -const int threshQuantities = 6; +const int threshQuantities = 7; int *thresholdElements[threshQuantities]; const std::string thresholdTag[threshQuantities] = { - "CSDM-5", "CSDM-10", "CSDM-15", "CSDM-30", "MPSR-120", "MPSxSR-28"}; + "CSDM-3", "CSDM-5", "CSDM-10", "CSDM-15", "CSDM-30", "MPSR-120", "MPSxSR-28"}; /* Variables for maximum Principal Strain times Strain Rate */ double *PS_Old = NULL; @@ -116,17 +117,17 @@ const int injuryExcludePIDCount = 2; const int injuryExcludePID[injuryExcludePIDCount] = {0, 1}; // Variables to write injury criterion to Paraview output -const int outputCount = 7; +const int outputCount = 8; int *outputDataArray[outputCount]; -const char *outputNames[outputCount] = {"CSDM-5", "CSDM-10", "CSDM-15", +const char *outputNames[outputCount] = {"CSDM-3", "CSDM-5", "CSDM-10", "CSDM-15", "CSDM-30", "MPSR-120", "MPSxSR-28", "MPS-95"}; const int outputDoubleCount = 1; double *outputDoubleArray[outputDoubleCount]; const char *outputDoubleNames[outputDoubleCount] = {"MPS-95-Value"}; -const int csdmCount = 4; -const double csdmLimits[csdmCount] = {0.05, 0.1, 0.15, 0.3}; +const int csdmCount = 5; +const double csdmLimits[csdmCount] = {0.03, 0.05, 0.1, 0.15, 0.3}; /* Variables used to store acceleration values */ int linAccXSize, linAccYSize, linAccZSize; @@ -1316,26 +1317,21 @@ void WriteOutputFile() { for (int i = 0; i < nElementsInjury; ++i) { int e = elementIDInjury[i]; double eV = elementVolume[e]; - // CSDM 5, 10, 15, 30 volume computations - if (thresholdElements[0][i]) { - thresholdVolume[0] += eV; - if (thresholdElements[1][i]) { - thresholdVolume[1] += eV; - if (thresholdElements[2][i]) { - thresholdVolume[2] += eV; - if (thresholdElements[3][i]) { - thresholdVolume[3] += eV; - } - } + // CSDM 3, 5, 10, 15, 30 volume computations + for (unsigned int j = 0; j < csdmCount; ++j) { + if (thresholdElements[j][i]) { + thresholdVolume[j] += eV; + } else { + break; } } // MPSR > 120 volume - if (thresholdElements[4][i]) { - thresholdVolume[4] += eV; + if (thresholdElements[csdmCount][i]) { + thresholdVolume[csdmCount] += eV; } // MPSxSR > 28 volume - if (thresholdElements[5][i]) { - thresholdVolume[5] += eV; + if (thresholdElements[csdmCount + 1][i]) { + thresholdVolume[csdmCount + 1] += eV; } } // Calculate cumulative volume on all ranks @@ -1370,7 +1366,7 @@ void WriteOutputFile() { } } // Create list to write to output.json - const int outputJsonCount = 5; + const int outputJsonCount = csdmCount + 1; std::string jsonOutputTag[outputJsonCount]; int *outputJsonArray[outputJsonCount]; for (int i = 0; i < csdmCount; ++i) { @@ -1508,7 +1504,7 @@ void InitInjuryCriteria(void) { initialVolume = (double *)calloc(nelements, sizeof(double)); // Array to output to Paraview - // All threshold elements CSDM : 5, 10, 15, 30, MPSR-120, MPSxSR-28 + // All threshold elements CSDM : 3, 5, 10, 15, 30, MPSR-120, MPSxSR-28 for (int i = 0; i < threshQuantities; ++i) { outputDataArray[i] = thresholdElements[i]; } @@ -1790,13 +1786,13 @@ void WriteMPS(void) { } const unsigned int lineSize = 50; - char s2[lineSize] = {0}, s3[lineSize]; + char s2[lineSize+1], s3[lineSize+1]; unsigned int offset = 0; for (unsigned int i = 0; i < nelements; ++i) { offset = (global_eid[i]-1)*lineSize; sprintf(s2, "%06d, %14.5e, %14.5e\n", global_eid[i], elementMPS[i], initialVolume[i]); - sprintf(s3, "%49s", s2); + sprintf(s3, "%50s", s2); MPI_File_write_at(mpsFilePtr, offset, s3, lineSize, MPI_CHAR, MPI_STATUS_IGNORE); } diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index 43d9623c..a7b25bf1 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -5,6 +5,10 @@ import csv +# Part list +partList = ["msc", "stem", "cerebellum", "frontal", "parietal", "occipital", + "temporal"] + # Code assumes maximum-time is set to the last value of the time array jsonInputFile = sys.argv[1] inputJson = json.loads(open(jsonInputFile).read()) @@ -76,14 +80,11 @@ meshType = outputJson["output-file"].split('_')[0] cellDataFile = meshType + '_cellcentres.txt' - # Part list - partList = ["msc", "stem", "cerebellum", "frontal", "parietal", "occipital", - "temporal"] # Populate region from cell centres file maxInjuryMetrics = ["principal-max-strain", "principal-min-strain", "maximum-shear-strain", "maximum-PSxSR"]; - threshInjuryMetrics = ["CSDM-10", "CSDM-15", "CSDM-30", "CSDM-5", + threshInjuryMetrics = ["CSDM-10", "CSDM-15", "CSDM-30", "CSDM-5", "CSDM-3", "MPS-95"]; # Loop over metric with single element output @@ -163,6 +164,21 @@ if 'impact-date' in inputJson: outputJson['impact-date'] = inputJson['impact-date'] +# Include region wise MPS values to output.json +if (not 'compute-injury-criteria' in inputJson['simulation']) or inputJson['simulation']['compute-injury-criteria']: + outputJson["region-wise-mps"] = {} + # Set all region MPS value to zero + for part in partList: + outputJson["region-wise-mps"][part] = 0.0 + + with open('MPSfile.dat') as mpsFile, open(cellDataFile) as regionFile: + for mpsLine, cellDataLine in zip(mpsFile, regionFile): + part = cellDataLine.split()[4] + if part != 'skull' and part != 'csf': + mpsValue = float(mpsLine.split(',')[1]) + if mpsValue > outputJson["region-wise-mps"][part]: + outputJson["region-wise-mps"][part] = mpsValue + # print(outputJson) # jstr = json.dumps(outputJson, indent = 2, sort_keys=False) # print(jstr) From 9fecae3cfc91191caa94664547197a81b74ea9f3 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 7 Sep 2021 19:47:11 +0530 Subject: [PATCH 063/106] Added angular velocity input for rigid body position integration --- examples/ex5/ex5.cpp | 449 +++++++++++++++++++------------ examples/ex5/updateOutputJson.py | 47 ++-- 2 files changed, 303 insertions(+), 193 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index edda1026..d136bb7a 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -132,14 +132,18 @@ const double csdmLimits[csdmCount] = {0.03, 0.05, 0.1, 0.15, 0.3}; /* Variables used to store acceleration values */ int linAccXSize, linAccYSize, linAccZSize; int angAccXSize, angAccYSize, angAccZSize; +int angVelXSize, angVelYSize, angVelZSize; double *linAccXt, *linAccYt, *linAccZt; double *linAccXv, *linAccYv, *linAccZv; double *angAccXt, *angAccYt, *angAccZt; double *angAccXv, *angAccYv, *angAccZv; +double *angVelXt, *angVelYt, *angVelZt; +double *angVelXv, *angVelYv, *angVelZv; +bool angularVelPrescribed = false; /* Local co-ordinate system rotating with the skull for comparison with Hardy's * data. Use first 3 index to store x unit vector, next 3 for y unit vector */ -double unitVec[9], rigidTranslation[3]; +double unitVec[9]; /* Varibles for Local integrator */ const int nIntVar = 12; @@ -352,6 +356,12 @@ int main(int argc, char **argv) { free1DArray(angAccXv); free1DArray(angAccYv); free1DArray(angAccZv); + free1DArray(angVelXt); + free1DArray(angVelYt); + free1DArray(angVelZt); + free1DArray(angVelXv); + free1DArray(angVelYv); + free1DArray(angVelZv); free1DArray(outputNodeList); free1DArray(outputElemList); // Free variables used for injury criteria @@ -376,13 +386,10 @@ int main(int argc, char **argv) { void ApplyAccBoundaryConditions() { double r[4], R[4], Rinv[4], V[4], Vp[4]; // quaternions - // double omegaR[3], omega[3], omegaOmegaR[3], omegaVel[3], vel[3]; // vectors - // double alpha[3], alphaR[3], locV[3]; double omegaR[3], omega[3]; // vectors double locV[3]; // Update to half time step to compute velocity - // rk.do_step(computeDerivatives, yInt, ydotInt, Time, 0.5*dt); rk.do_step(computeDerivatives, yInt, Time, 0.5*dt); r[0] = 0.0; r[1] = yInt[3]; @@ -390,15 +397,16 @@ void ApplyAccBoundaryConditions() { r[3] = yInt[5]; quaternionExp(r, R); // R = exp(r) quaternionInverse(R, Rinv); - omega[0] = yInt[0]; - omega[1] = yInt[1]; - omega[2] = yInt[2]; - // alpha[0] = ydotInt[0]; - // alpha[1] = ydotInt[1]; - // alpha[2] = ydotInt[2]; - // vel[0] = yInt[6]; - // vel[1] = yInt[7]; - // vel[2] = yInt[8]; + if (angularVelPrescribed) { + double tLocal = Time + 0.5*dt; + omega[0] = interpolateLinear(angVelXSize, angVelXt, angVelXv, tLocal); + omega[1] = interpolateLinear(angVelYSize, angVelYt, angVelYv, tLocal); + omega[2] = interpolateLinear(angVelZSize, angVelZt, angVelZv, tLocal); + } else { + omega[0] = yInt[0]; + omega[1] = yInt[1]; + omega[2] = yInt[2]; + } for (int i = 0; i < boundarySize; i++) { int index = boundaryID[i] * ndim; @@ -411,40 +419,9 @@ void ApplyAccBoundaryConditions() { V[3] = locV[2]; quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} crossProduct(omega, &(Vp[1]), omegaR); - // crossProduct(omega, omegaR, omegaOmegaR); - // crossProduct(omega, vel, omegaVel); - // crossProduct(alpha, &(Vp[1]), alphaR); for (int j = 0; j < ndim; ++j) { - // Displacement - // displacements[index + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; - // Velocity velocities_half[index + j] = omegaR[j] + yInt[6 + j]; - // Acceleration - // accelerations[index + j] = - // 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; - } - } - if (rankForCustomPlot) { - // Update unit vector - for (int i = 0; i < 3; i++) { - int index = i * ndim; - for (int j = 0; j < ndim; ++j) { - locV[j] = unitVec[index + j]; - } - V[0] = 0.0; - V[1] = locV[0]; - V[2] = locV[1]; - V[3] = locV[2]; - quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} - double unitVecMag = sqrt(Vp[1]*Vp[1]+Vp[2]*Vp[2]+Vp[3]*Vp[3]); - for (int j = 0; j < ndim; ++j) { - // update unit vectors by rotating - unitVec[index + j] = Vp[j + 1]/unitVecMag; - } } - // for (int i = 0; i < 3; i++) { - // rigidTranslation[i] += yInt[9+i]; - // } } // Move to full time step rk.do_step(computeDerivatives, yInt, Time+0.5*dt, 0.5*dt); @@ -459,23 +436,16 @@ void ApplyAccBoundaryConditions() { // Update unit vector for (int i = 0; i < 3; i++) { int index = i * ndim; - for (int j = 0; j < ndim; ++j) { - locV[j] = unitVec[index + j]; - } V[0] = 0.0; - V[1] = locV[0]; - V[2] = locV[1]; - V[3] = locV[2]; + V[1] = double(i==0); + V[2] = double(i==1); + V[3] = double(i==2); quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} - double unitVecMag = sqrt(Vp[1]*Vp[1]+Vp[2]*Vp[2]+Vp[3]*Vp[3]); for (int j = 0; j < ndim; ++j) { // update unit vectors by rotating - unitVec[index + j] = Vp[j + 1]/unitVecMag; + unitVec[index + j] = Vp[j + 1]; } } - // for (int i = 0; i < 3; i++) { - // rigidTranslation[i] += yInt[9+i]; - // } } return; } @@ -631,13 +601,10 @@ void InitCustomPlot(const Json::Value &jsonInput) { MPI_File_write_ordered(outputFilePtr, outputHeader, strlen(outputHeader), MPI_CHAR, MPI_STATUS_IGNORE); free(outputHeader); - // Set the unit vector for locla co-ordinates + // Set the unit vector for local co-ordinates for (int i = 0; i < ndim2; ++i) { unitVec[i] = 0.0; } - for (int i = 0; i < ndim; ++i) { - rigidTranslation[i] = 0.0; - } unitVec[0] = 1.0; unitVec[4] = 1.0; unitVec[8] = 1.0; @@ -661,18 +628,18 @@ void CustomPlot() { for (int i = 0; i < outputNodeCount; ++i) { unsigned int plotNode = outputNodeList[i] * ndim; unsigned int plotIndex = i * ndim; - double xCord = displacements[plotNode]; - double yCord = displacements[plotNode + 1]; - double zCord = displacements[plotNode + 2]; double xCordLocal, yCordLocal, zCordLocal; if (outputRelativeDisplacement) { - xCordLocal = xCord*unitVec[0] + yCord*unitVec[1] + zCord*unitVec[2] - rigidTranslation[0]; - yCordLocal = xCord*unitVec[3] + yCord*unitVec[4] + zCord*unitVec[5] - rigidTranslation[1]; - zCordLocal = xCord*unitVec[6] + yCord*unitVec[7] + zCord*unitVec[8] - rigidTranslation[2]; + double xCord = displacements[plotNode] - yInt[9]; + double yCord = displacements[plotNode + 1] - yInt[10]; + double zCord = displacements[plotNode + 2] - yInt[11]; + xCordLocal = xCord*unitVec[0] + yCord*unitVec[1] + zCord*unitVec[2]; + yCordLocal = xCord*unitVec[3] + yCord*unitVec[4] + zCord*unitVec[5]; + zCordLocal = xCord*unitVec[6] + yCord*unitVec[7] + zCord*unitVec[8]; } else { - xCordLocal = xCord; - yCordLocal = yCord; - zCordLocal = zCord; + xCordLocal = displacements[plotNode]; + yCordLocal = displacements[plotNode + 1]; + zCordLocal = displacements[plotNode + 2]; } sprintf(output, "%s %15.9e %15.9e %15.9e", output, xCordLocal, yCordLocal, zCordLocal); } @@ -732,26 +699,56 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { memcpy(linAccYt, linAccXt, timeSize*sizeof(double)); memcpy(linAccZt, linAccXt, timeSize*sizeof(double)); - angAccXSize = jsonInput["angular-acceleration"]["xv"].size(); - assert(timeSize == angAccXSize); - angAccYSize = jsonInput["angular-acceleration"]["yv"].size(); - assert(timeSize == angAccYSize); - angAccZSize = jsonInput["angular-acceleration"]["zv"].size(); - assert(timeSize == angAccZSize); - - angAccXt = (double *)malloc(sizeof(double) * angAccXSize); - angAccXv = (double *)malloc(sizeof(double) * angAccXSize); - angAccYt = (double *)malloc(sizeof(double) * angAccYSize); - angAccYv = (double *)malloc(sizeof(double) * angAccYSize); - angAccZt = (double *)malloc(sizeof(double) * angAccZSize); - angAccZv = (double *)malloc(sizeof(double) * angAccZSize); - - jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); - jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); - jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); - memcpy(angAccXt, linAccXt, timeSize*sizeof(double)); - memcpy(angAccYt, linAccXt, timeSize*sizeof(double)); - memcpy(angAccZt, linAccXt, timeSize*sizeof(double)); + if (!jsonInput["angular-velocity"].empty()) { + angVelXSize = jsonInput["angular-velocity"]["xv"].size(); + assert(timeSize == angVelXSize); + angVelYSize = jsonInput["angular-velocity"]["yv"].size(); + assert(timeSize == angVelYSize); + angVelZSize = jsonInput["angular-velocity"]["zv"].size(); + assert(timeSize == angVelZSize); + + angVelXt = (double *)malloc(sizeof(double) * angVelXSize); + angVelXv = (double *)malloc(sizeof(double) * angVelXSize); + angVelYt = (double *)malloc(sizeof(double) * angVelYSize); + angVelYv = (double *)malloc(sizeof(double) * angVelYSize); + angVelZt = (double *)malloc(sizeof(double) * angVelZSize); + angVelZv = (double *)malloc(sizeof(double) * angVelZSize); + + jsonToArray(angVelXv, jsonInput["angular-velocity"]["xv"]); + jsonToArray(angVelYv, jsonInput["angular-velocity"]["yv"]); + jsonToArray(angVelZv, jsonInput["angular-velocity"]["zv"]); + memcpy(angVelXt, linAccXt, timeSize*sizeof(double)); + memcpy(angVelYt, linAccXt, timeSize*sizeof(double)); + memcpy(angVelZt, linAccXt, timeSize*sizeof(double)); + angularVelPrescribed = true; + } else { + if (jsonInput["angular-acceleration"].empty()) { + // If both angular acceleration or angular velocity is not prescribed + // terminate the application + FILE_LOG_SINGLE(ERROR, "Either angular acceleration or angular velocity has to be prescribed"); + TerminateFemTech(12); + } + angAccXSize = jsonInput["angular-acceleration"]["xv"].size(); + assert(timeSize == angAccXSize); + angAccYSize = jsonInput["angular-acceleration"]["yv"].size(); + assert(timeSize == angAccYSize); + angAccZSize = jsonInput["angular-acceleration"]["zv"].size(); + assert(timeSize == angAccZSize); + + angAccXt = (double *)malloc(sizeof(double) * angAccXSize); + angAccXv = (double *)malloc(sizeof(double) * angAccXSize); + angAccYt = (double *)malloc(sizeof(double) * angAccYSize); + angAccYv = (double *)malloc(sizeof(double) * angAccYSize); + angAccZt = (double *)malloc(sizeof(double) * angAccZSize); + angAccZv = (double *)malloc(sizeof(double) * angAccZSize); + + jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); + jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); + jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); + memcpy(angAccXt, linAccXt, timeSize*sizeof(double)); + memcpy(angAccYt, linAccXt, timeSize*sizeof(double)); + memcpy(angAccZt, linAccXt, timeSize*sizeof(double)); + } } else { // Read linear acceleration and angular acceleration time traces linAccXSize = jsonInput["linear-acceleration"]["xt"].size(); @@ -776,27 +773,58 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { jsonToArray(linAccZt, jsonInput["linear-acceleration"]["zt"]); jsonToArray(linAccZv, jsonInput["linear-acceleration"]["zv"]); - angAccXSize = jsonInput["angular-acceleration"]["xt"].size(); - tempSize = jsonInput["angular-acceleration"]["xv"].size(); - assert(tempSize == angAccXSize); - angAccXt = (double *)malloc(sizeof(double) * angAccXSize); - angAccXv = (double *)malloc(sizeof(double) * angAccXSize); - angAccYSize = jsonInput["angular-acceleration"]["yt"].size(); - tempSize = jsonInput["angular-acceleration"]["yv"].size(); - assert(tempSize == angAccYSize); - angAccYt = (double *)malloc(sizeof(double) * angAccYSize); - angAccYv = (double *)malloc(sizeof(double) * angAccYSize); - angAccZSize = jsonInput["angular-acceleration"]["zt"].size(); - tempSize = jsonInput["angular-acceleration"]["zv"].size(); - assert(tempSize == angAccZSize); - angAccZt = (double *)malloc(sizeof(double) * angAccZSize); - angAccZv = (double *)malloc(sizeof(double) * angAccZSize); - jsonToArray(angAccXt, jsonInput["angular-acceleration"]["xt"]); - jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); - jsonToArray(angAccYt, jsonInput["angular-acceleration"]["yt"]); - jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); - jsonToArray(angAccZt, jsonInput["angular-acceleration"]["zt"]); - jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); + if (!jsonInput["angular-velocity"].empty()) { + angVelXSize = jsonInput["angular-velocity"]["xt"].size(); + tempSize = jsonInput["angular-velocity"]["xv"].size(); + assert(tempSize == angVelXSize); + angVelXt = (double *)malloc(sizeof(double) * angVelXSize); + angVelXv = (double *)malloc(sizeof(double) * angVelXSize); + angVelYSize = jsonInput["angular-velocity"]["yt"].size(); + tempSize = jsonInput["angular-velocity"]["yv"].size(); + assert(tempSize == angVelYSize); + angVelYt = (double *)malloc(sizeof(double) * angVelYSize); + angVelYv = (double *)malloc(sizeof(double) * angVelYSize); + angVelZSize = jsonInput["angular-velocity"]["zt"].size(); + tempSize = jsonInput["angular-velocity"]["zv"].size(); + assert(tempSize == angVelZSize); + angVelZt = (double *)malloc(sizeof(double) * angVelZSize); + angVelZv = (double *)malloc(sizeof(double) * angVelZSize); + jsonToArray(angVelXt, jsonInput["angular-velocity"]["xt"]); + jsonToArray(angVelXv, jsonInput["angular-velocity"]["xv"]); + jsonToArray(angVelYt, jsonInput["angular-velocity"]["yt"]); + jsonToArray(angVelYv, jsonInput["angular-velocity"]["yv"]); + jsonToArray(angVelZt, jsonInput["angular-velocity"]["zt"]); + jsonToArray(angVelZv, jsonInput["angular-velocity"]["zv"]); + angularVelPrescribed = true; + } else { + if (jsonInput["angular-acceleration"].empty()) { + // If both angular acceleration or angular velocity is not prescribed + // terminate the application + FILE_LOG_SINGLE(ERROR, "Either angular acceleration or angular velocity has to be prescribed"); + TerminateFemTech(12); + } + angAccXSize = jsonInput["angular-acceleration"]["xt"].size(); + tempSize = jsonInput["angular-acceleration"]["xv"].size(); + assert(tempSize == angAccXSize); + angAccXt = (double *)malloc(sizeof(double) * angAccXSize); + angAccXv = (double *)malloc(sizeof(double) * angAccXSize); + angAccYSize = jsonInput["angular-acceleration"]["yt"].size(); + tempSize = jsonInput["angular-acceleration"]["yv"].size(); + assert(tempSize == angAccYSize); + angAccYt = (double *)malloc(sizeof(double) * angAccYSize); + angAccYv = (double *)malloc(sizeof(double) * angAccYSize); + angAccZSize = jsonInput["angular-acceleration"]["zt"].size(); + tempSize = jsonInput["angular-acceleration"]["zv"].size(); + assert(tempSize == angAccZSize); + angAccZt = (double *)malloc(sizeof(double) * angAccZSize); + angAccZv = (double *)malloc(sizeof(double) * angAccZSize); + jsonToArray(angAccXt, jsonInput["angular-acceleration"]["xt"]); + jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); + jsonToArray(angAccYt, jsonInput["angular-acceleration"]["yt"]); + jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); + jsonToArray(angAccZt, jsonInput["angular-acceleration"]["zt"]); + jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); + } } // Convert linear accelerations from g force to m/s^2 @@ -813,14 +841,26 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { // linAccZv[i] = gC*linAccZv[i]; linAccZt[i] = 0.001 * linAccZt[i]; } - for (int i = 0; i < angAccXSize; ++i) { - angAccXt[i] = 0.001 * angAccXt[i]; - } - for (int i = 0; i < angAccYSize; ++i) { - angAccYt[i] = 0.001 * angAccYt[i]; - } - for (int i = 0; i < angAccZSize; ++i) { - angAccZt[i] = 0.001 * angAccZt[i]; + if (angularVelPrescribed) { + for (int i = 0; i < angVelXSize; ++i) { + angVelXt[i] = 0.001 * angVelXt[i]; + } + for (int i = 0; i < angVelYSize; ++i) { + angVelYt[i] = 0.001 * angVelYt[i]; + } + for (int i = 0; i < angVelZSize; ++i) { + angVelZt[i] = 0.001 * angVelZt[i]; + } + } else { + for (int i = 0; i < angAccXSize; ++i) { + angAccXt[i] = 0.001 * angAccXt[i]; + } + for (int i = 0; i < angAccYSize; ++i) { + angAccYt[i] = 0.001 * angAccYt[i]; + } + for (int i = 0; i < angAccZSize; ++i) { + angAccZt[i] = 0.001 * angAccZt[i]; + } } startTime = linAccXt[0]; } else { // Read maximum values from input file @@ -979,54 +1019,103 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { "Error in angular to linear frame transformation. x not present"); TerminateFemTech(12); } - // Transform all angular acceleration values - // Transforming individual values rather than pointer rotation for - // readability - double accSize[ndim]; - accSize[index[0]] = angAccXSize; - accSize[index[1]] = angAccYSize; - accSize[index[2]] = angAccZSize; - double *angAccTNew[ndim], *angAccVNew[ndim]; - angAccTNew[0] = (double *)malloc(accSize[0] * sizeof(double)); - angAccVNew[0] = (double *)malloc(accSize[0] * sizeof(double)); - angAccTNew[1] = (double *)malloc(accSize[1] * sizeof(double)); - angAccVNew[1] = (double *)malloc(accSize[1] * sizeof(double)); - angAccTNew[2] = (double *)malloc(accSize[2] * sizeof(double)); - angAccVNew[2] = (double *)malloc(accSize[2] * sizeof(double)); - - int transformedIndex = index[0]; - for (int i = 0; i < angAccXSize; ++i) { - angAccTNew[transformedIndex][i] = angAccXt[i]; - angAccVNew[transformedIndex][i] = angAccXv[i] * factor[0]; - } - transformedIndex = index[1]; - for (int i = 0; i < angAccYSize; ++i) { - angAccTNew[transformedIndex][i] = angAccYt[i]; - angAccVNew[transformedIndex][i] = angAccYv[i] * factor[1]; - } - transformedIndex = index[2]; - for (int i = 0; i < angAccZSize; ++i) { - angAccTNew[transformedIndex][i] = angAccZt[i]; - angAccVNew[transformedIndex][i] = angAccZv[i] * factor[2]; - } - - angAccXSize = accSize[0]; - angAccYSize = accSize[1]; - angAccZSize = accSize[2]; - free(angAccXt); - free(angAccXv); - free(angAccYt); - free(angAccYv); - free(angAccZt); - free(angAccZv); - angAccXt = angAccTNew[0]; - angAccXv = angAccVNew[0]; - angAccYt = angAccTNew[1]; - angAccYv = angAccVNew[1]; - angAccZt = angAccTNew[2]; - angAccZv = angAccVNew[2]; + // Transform all angular acceleration/velocity values + if (angularVelPrescribed) { + // Transforming individual values rather than pointer rotation for + // readability + double velSize[ndim]; + velSize[index[0]] = angVelXSize; + velSize[index[1]] = angVelYSize; + velSize[index[2]] = angVelZSize; + double *angVelTNew[ndim], *angVelVNew[ndim]; + angVelTNew[0] = (double *)malloc(velSize[0] * sizeof(double)); + angVelVNew[0] = (double *)malloc(velSize[0] * sizeof(double)); + angVelTNew[1] = (double *)malloc(velSize[1] * sizeof(double)); + angVelVNew[1] = (double *)malloc(velSize[1] * sizeof(double)); + angVelTNew[2] = (double *)malloc(velSize[2] * sizeof(double)); + angVelVNew[2] = (double *)malloc(velSize[2] * sizeof(double)); + + int transformedIndex = index[0]; + for (int i = 0; i < angVelXSize; ++i) { + angVelTNew[transformedIndex][i] = angVelXt[i]; + angVelVNew[transformedIndex][i] = angVelXv[i] * factor[0]; + } + transformedIndex = index[1]; + for (int i = 0; i < angVelYSize; ++i) { + angVelTNew[transformedIndex][i] = angVelYt[i]; + angVelVNew[transformedIndex][i] = angVelYv[i] * factor[1]; + } + transformedIndex = index[2]; + for (int i = 0; i < angVelZSize; ++i) { + angVelTNew[transformedIndex][i] = angVelZt[i]; + angVelVNew[transformedIndex][i] = angVelZv[i] * factor[2]; + } + + angVelXSize = velSize[0]; + angVelYSize = velSize[1]; + angVelZSize = velSize[2]; + free(angVelXt); + free(angVelXv); + free(angVelYt); + free(angVelYv); + free(angVelZt); + free(angVelZv); + angVelXt = angVelTNew[0]; + angVelXv = angVelVNew[0]; + angVelYt = angVelTNew[1]; + angVelYv = angVelVNew[1]; + angVelZt = angVelTNew[2]; + angVelZv = angVelVNew[2]; + } else { + double accSize[ndim]; + // Transforming individual values rather than pointer rotation for + // readability + accSize[index[0]] = angAccXSize; + accSize[index[1]] = angAccYSize; + accSize[index[2]] = angAccZSize; + double *angAccTNew[ndim], *angAccVNew[ndim]; + angAccTNew[0] = (double *)malloc(accSize[0] * sizeof(double)); + angAccVNew[0] = (double *)malloc(accSize[0] * sizeof(double)); + angAccTNew[1] = (double *)malloc(accSize[1] * sizeof(double)); + angAccVNew[1] = (double *)malloc(accSize[1] * sizeof(double)); + angAccTNew[2] = (double *)malloc(accSize[2] * sizeof(double)); + angAccVNew[2] = (double *)malloc(accSize[2] * sizeof(double)); + + int transformedIndex = index[0]; + for (int i = 0; i < angAccXSize; ++i) { + angAccTNew[transformedIndex][i] = angAccXt[i]; + angAccVNew[transformedIndex][i] = angAccXv[i] * factor[0]; + } + transformedIndex = index[1]; + for (int i = 0; i < angAccYSize; ++i) { + angAccTNew[transformedIndex][i] = angAccYt[i]; + angAccVNew[transformedIndex][i] = angAccYv[i] * factor[1]; + } + transformedIndex = index[2]; + for (int i = 0; i < angAccZSize; ++i) { + angAccTNew[transformedIndex][i] = angAccZt[i]; + angAccVNew[transformedIndex][i] = angAccZv[i] * factor[2]; + } + + angAccXSize = accSize[0]; + angAccYSize = accSize[1]; + angAccZSize = accSize[2]; + free(angAccXt); + free(angAccXv); + free(angAccYt); + free(angAccYv); + free(angAccZt); + free(angAccZv); + angAccXt = angAccTNew[0]; + angAccXv = angAccVNew[0]; + angAccYt = angAccTNew[1]; + angAccYv = angAccVNew[1]; + angAccZt = angAccTNew[2]; + angAccZv = angAccVNew[2]; + } } + double tol = 1e-5; // Find count of nodes with specified partID int rigidNodeCount = 0; @@ -1182,10 +1271,26 @@ void computeDerivatives(const state_type &y, state_type &ydot, const double t) { // ydot[3-5] : Store derivative of rotation quaternion generator, rdot // ydot[6-8] : Linear acceleration of the center of mass, acc // ydot[9-11] : Linear velocity of the center of mass, vel - // Storing alpha - ydot[0] = interpolateLinear(angAccXSize, angAccXt, angAccXv, t); - ydot[1] = interpolateLinear(angAccYSize, angAccYt, angAccYv, t); - ydot[2] = interpolateLinear(angAccZSize, angAccZt, angAccZv, t); + double omega[3]; + if (angularVelPrescribed) { + // Computation of omega from alpha is not required as alpha is already + // available + ydot[0] = 0.0; + ydot[1] = 0.0; + ydot[2] = 0.0; + // Interpolate omega + omega[0] = interpolateLinear(angVelXSize, angVelXt, angVelXv, t); + omega[1] = interpolateLinear(angVelYSize, angVelYt, angVelYv, t); + omega[2] = interpolateLinear(angVelZSize, angVelZt, angVelZv, t); + } else { + // Storing alpha + ydot[0] = interpolateLinear(angAccXSize, angAccXt, angAccXv, t); + ydot[1] = interpolateLinear(angAccYSize, angAccYt, angAccYv, t); + ydot[2] = interpolateLinear(angAccZSize, angAccZt, angAccZv, t); + omega[0] = y[0]; + omega[1] = y[1]; + omega[2] = y[2]; + } // Linear Acceleration ydot[6] = interpolateLinear(linAccXSize, linAccXt, linAccXv, t); ydot[7] = interpolateLinear(linAccYSize, linAccYt, linAccYv, t); @@ -1205,15 +1310,11 @@ void computeDerivatives(const state_type &y, state_type &ydot, const double t) { double rMagnitude = sqrt(r[0] * r[0] + r[1] * r[1] + r[2] * r[2]); if (rMagnitude < 1e-10) { // rdot = 0.5*omega - rdot[0] = 0.5 * y[0]; - rdot[1] = 0.5 * y[1]; - rdot[2] = 0.5 * y[2]; + rdot[0] = 0.5 * omega[0]; + rdot[1] = 0.5 * omega[1]; + rdot[2] = 0.5 * omega[2]; } else { double rCotR = rMagnitude / tan(rMagnitude); - double omega[3]; - omega[0] = y[0]; - omega[1] = y[1]; - omega[2] = y[2]; crossProduct(omega, r, rdot); // compute rdot = omega x r // Normalize r by its magnitude for (int i = 0; i < 3; ++i) { diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index a7b25bf1..fc95bfe4 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -15,7 +15,12 @@ uid = inputJson["event_id"] jsonOutputFile = uid + '_output.json' linearAcc = inputJson['simulation']['linear-acceleration'] -angularAcc = inputJson['simulation']['angular-acceleration'] + +computeAngAcc = False +if 'angular-acceleration' in inputJson['simulation']: + computeAngAcc = True + angularAcc = inputJson['simulation']['angular-acceleration'] + computeAngVel = False if 'angular-velocity' in inputJson['simulation']: computeAngVel = True @@ -24,7 +29,8 @@ # Check if time array is present, common for all accelerations if 'time-all' in inputJson['simulation']: maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 - maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) + if computeAngAcc: + maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) if computeAngVel: maxAV = np.max(np.sqrt(np.array(angularVel['xv'])**2+np.array(angularVel['yv'])**2+np.array(angularVel['zv'])**2)) elif 'xt' in linearAcc: # If all sensor values have corresponding time arrays @@ -41,18 +47,19 @@ yV = np.interp(tInter, linearAcc['yt'], linearAcc['yv']) zV = np.interp(tInter, linearAcc['zt'], linearAcc['zv']) maxG = np.max(np.sqrt(xV**2+yV**2+zV**2))/9.81 - if (np.array_equal(np.array(angularAcc['xt']), np.array(angularAcc['yt'])) - and np.array_equal(np.array(angularAcc['xt']), np.array(angularAcc['zt']))): - maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) - else: - nCount = 5*max([len(angularAcc['xt']), len(angularAcc['yt']), len(angularAcc['zt'])]) - tmin = min(angularAcc['xt'][0], angularAcc['yt'][0], angularAcc['zt'][0]) - tmax = min(angularAcc['xt'][-1], angularAcc['yt'][-1], angularAcc['zt'][-1]) - tInter = np.linspace(tmin, tmax, nCount) - xV = np.interp(tInter, angularAcc['xt'], angularAcc['xv']) - yV = np.interp(tInter, angularAcc['yt'], angularAcc['yv']) - zV = np.interp(tInter, angularAcc['zt'], angularAcc['zv']) - maxT = np.max(np.sqrt(xV**2+yV**2+zV**2)) + if computeAngAcc: + if (np.array_equal(np.array(angularAcc['xt']), np.array(angularAcc['yt'])) + and np.array_equal(np.array(angularAcc['xt']), np.array(angularAcc['zt']))): + maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) + else: + nCount = 5*max([len(angularAcc['xt']), len(angularAcc['yt']), len(angularAcc['zt'])]) + tmin = min(angularAcc['xt'][0], angularAcc['yt'][0], angularAcc['zt'][0]) + tmax = min(angularAcc['xt'][-1], angularAcc['yt'][-1], angularAcc['zt'][-1]) + tInter = np.linspace(tmin, tmax, nCount) + xV = np.interp(tInter, angularAcc['xt'], angularAcc['xv']) + yV = np.interp(tInter, angularAcc['yt'], angularAcc['yv']) + zV = np.interp(tInter, angularAcc['zt'], angularAcc['zv']) + maxT = np.max(np.sqrt(xV**2+yV**2+zV**2)) if computeAngVel: if (np.array_equal(np.array(angularVel['xt']), np.array(angularVel['yt'])) @@ -69,10 +76,11 @@ maxAV = np.max(np.sqrt(xV**2+yV**2+zV**2)) else: maxG = np.sqrt(np.array(linearAcc[0])**2+np.array(linearAcc[1])**2+np.array(linearAcc[2])**2) - if isinstance(angularAcc, list): - maxT = np.sqrt(np.array(angularAcc[0])**2+np.array(angularAcc[1])**2+np.array(angularAcc[2])**2) - else: - maxT = np.fabs(angularAcc) + if computeAngAcc: + if isinstance(angularAcc, list): + maxT = np.sqrt(np.array(angularAcc[0])**2+np.array(angularAcc[1])**2+np.array(angularAcc[2])**2) + else: + maxT = np.fabs(angularAcc) outputJson = json.loads(open(jsonOutputFile).read()) @@ -110,7 +118,8 @@ # Add max quantities outputJson["max-linear-acc-g"] = maxG -outputJson["max-angular-acc-rads2"] = maxT +if computeAngAcc: + outputJson["max-angular-acc-rads2"] = maxT if computeAngVel: outputJson["max-angular-vel-rads"] = maxAV From 2ec81c54835ed56bc6a09781f07b77bd11771a7c Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 8 Sep 2021 14:38:41 +0530 Subject: [PATCH 064/106] Removed repeated logging --- examples/ex5/ex5.cpp | 5 ----- 1 file changed, 5 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index d136bb7a..40a2fcae 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -318,12 +318,9 @@ int main(int argc, char **argv) { WritePVD(outputFileName.c_str(), plot_counter); } } - FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, - "Displacement Solution"); } time_step_counter = time_step_counter + 1; dt = ExplicitTimeStepReduction * StableTimeStep(); - FILE_LOG_MASTER(INFO, "dt = %15.6e, Time = %15.6e", dt, Time); // Barrier not a must MPI_Barrier(MPI_COMM_WORLD); @@ -334,8 +331,6 @@ int main(int argc, char **argv) { CustomPlot(); } FILE_LOG_MASTER(INFO, "End of Iterative Loop"); - FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, - "Final Displacement Solution"); WriteOutputFile(); if (computeInjuryFlag) { From 7eeb46edbd37d4f4bc16b09c999d6fcdf7e8f4a4 Mon Sep 17 00:00:00 2001 From: RitikaMenghani Date: Wed, 22 Sep 2021 12:17:47 -0400 Subject: [PATCH 065/106] added all hardy files --- examples/ex5/CMakeLists.txt | 3 + examples/ex5/coarse_brain_c380_RI.inp | 35662 +++++++++++++++++++++ examples/ex5/input_test_hardyc288t3.json | 4 +- examples/ex5/input_test_hardyc380t2.json | 783 + examples/ex5/input_test_hardyc380t4.json | 901 + examples/ex5/materials.dat | 18 +- src/materials/OgdenViscoelastic.cpp | 4 +- 7 files changed, 37362 insertions(+), 13 deletions(-) create mode 100644 examples/ex5/coarse_brain_c380_RI.inp create mode 100644 examples/ex5/input_test_hardyc380t2.json create mode 100644 examples/ex5/input_test_hardyc380t4.json diff --git a/examples/ex5/CMakeLists.txt b/examples/ex5/CMakeLists.txt index 315e5ea8..4967e95e 100644 --- a/examples/ex5/CMakeLists.txt +++ b/examples/ex5/CMakeLists.txt @@ -14,6 +14,7 @@ endif(ENABLE_MPI) file(INSTALL brain.inp DESTINATION .) file(INSTALL coarse_brain.inp DESTINATION .) file(INSTALL coarse_brain_c288_RI.inp DESTINATION .) +file(INSTALL coarse_brain_c380_RI.inp DESTINATION .) file(INSTALL materials.dat DESTINATION .) file(INSTALL input.json DESTINATION .) file(INSTALL input_test_p1.json DESTINATION .) @@ -21,6 +22,8 @@ file(INSTALL input_test_pt.json DESTINATION .) file(INSTALL input_test_s.json DESTINATION .) file(INSTALL input_test_x.json DESTINATION .) file(INSTALL input_test_hardyc288t3.json DESTINATION .) +file(INSTALL input_test_hardyc380t2.json DESTINATION .) +file(INSTALL input_test_hardyc380t4.json DESTINATION .) file(INSTALL coarse_cellcentres.txt DESTINATION .) file(INSTALL fine_cellcentres.txt DESTINATION .) file(INSTALL updateOutputJson.py DESTINATION .) diff --git 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12407, 12408, 12413 +9122 , 12403, 12404, 12405, 12406, 12409, 12410, 12419, 12412 +9123 , 12407, 12404, 12403, 12408, 12319, 12316, 12312, 12317 +9124 , 12312, 12316, 12404, 12403, 12318, 12320, 12410, 12409 +9125 , 12406, 12403, 12313, 12411, 12413, 12408, 12402, 12493 +9126 , 12313, 12403, 12406, 12411, 12414, 12409, 12412, 12492 +9127 , 12312, 12403, 12408, 12317, 12308, 12313, 12402, 12314 +9128 , 12318, 12409, 12403, 12312, 12315, 12414, 12313, 12308 +9129 , 12416, 12415, 12404, 12405, 12427, 12417, 12407, 12420 +9130 , 12404, 12415, 12416, 12405, 12410, 12418, 12426, 12419 +9131 , 12417, 12415, 12404, 12407, 12321, 12259, 12316, 12319 +9132 , 12316, 12259, 12415, 12404, 12320, 12322, 12418, 12410 +9133 , 12293, 12381, 12376, 12325, 12326, 12422, 12456, 12421 +9134 , 12423, 12337, 12415, 12416, 12430, 12424, 12417, 12427 +9135 , 12415, 12337, 12423, 12416, 12418, 12425, 12429, 12426 +9136 , 12424, 12337, 12415, 12417, 12323, 12265, 12259, 12321 +9137 , 12259, 12265, 12337, 12415, 12322, 12340, 12425, 12418 +9138 , 12428, 12332, 12337, 12423, 12433, 12338, 12424, 12430 +9139 , 12337, 12332, 12428, 12423, 12425, 12339, 12432, 12429 +9140 , 12431, 12331, 12332, 12428, 12436, 12345, 12338, 12433 +9141 , 12332, 12331, 12431, 12428, 12339, 12346, 12435, 12432 +9142 , 12434, 12342, 12331, 12431, 12439, 12351, 12345, 12436 +9143 , 12331, 12342, 12434, 12431, 12346, 12352, 12438, 12435 +9144 , 12437, 12348, 12342, 12434, 12442, 12357, 12351, 12439 +9145 , 12342, 12348, 12437, 12434, 12352, 12358, 12441, 12438 +9146 , 12440, 12354, 12348, 12437, 12445, 12363, 12357, 12442 +9147 , 12348, 12354, 12440, 12437, 12358, 12364, 12444, 12441 +9148 , 12443, 12360, 12354, 12440, 12448, 12367, 12363, 12445 +9149 , 12354, 12360, 12443, 12440, 12364, 12368, 12447, 12444 +9150 , 12446, 12255, 12360, 12443, 12449, 12370, 12367, 12448 +9151 , 12360, 12255, 12446, 12443, 12368, 12249, 12263, 12447 +9152 , 12256, 12251, 12255, 12446, 12450, 12372, 12370, 12449 +9153 , 12328, 12250, 12251, 12256, 12455, 12375, 12372, 12450 +9154 , 12380, 12451, 12452, 12381, 12453, 12524, 12464, 12422 +9155 , 12452, 12451, 12380, 12381, 12386, 12525, 12454, 12379 +9156 , 12421, 12325, 12250, 12328, 12458, 12377, 12375, 12455 +9157 , 12456, 12376, 12325, 12421, 12462, 12457, 12377, 12458 +9158 , 12381, 12452, 12459, 12376, 12422, 12464, 12460, 12456 +9159 , 12459, 12452, 12381, 12376, 12306, 12386, 12379, 12303 +9160 , 12460, 12459, 12376, 12456, 12465, 12461, 12457, 12462 +9161 , 12461, 12459, 12376, 12457, 12385, 12306, 12303, 12378 +9162 , 12459, 12388, 12463, 12460, 12452, 12466, 12548, 12464 +9163 , 12463, 12388, 12459, 12460, 12549, 12467, 12461, 12465 +9164 , 12388, 12466, 12452, 12459, 12384, 12390, 12386, 12306 +9165 , 12388, 12384, 12306, 12459, 12467, 12389, 12385, 12461 +9166 , 7105, 7104, 7119, 7107, 12388, 12391, 12470, 12467 +9167 , 7108, 7120, 7121, 7104, 12469, 12472, 12468, 12391 +9168 , 7104, 7121, 7122, 7119, 12391, 12468, 12473, 12470 +9169 , 7120, 7123, 7124, 7121, 12472, 12561, 12471, 12468 +9170 , 7121, 7124, 7125, 7122, 12468, 12471, 12562, 12473 +9171 , 7126, 7116, 7115, 7127, 12476, 12478, 12395, 12474 +9172 , 7127, 7115, 7117, 7128, 12474, 12395, 12479, 12477 +9173 , 7127, 7129, 7130, 7126, 12474, 12475, 12572, 12476 +9174 , 7128, 7131, 7129, 7127, 12477, 12571, 12475, 12474 +9175 , 12480, 12481, 12482, 12483, 12484, 12485, 12494, 12489 +9176 , 12482, 12481, 12480, 12483, 12495, 12486, 12487, 12490 +9177 , 12481, 12485, 12484, 12480, 12310, 12401, 12399, 12393 +9178 , 12486, 12481, 12480, 12487, 12400, 12310, 12393, 12398 +9179 , 12395, 12480, 12483, 12488, 12478, 12484, 12489, 12576 +9180 , 12483, 12480, 12395, 12488, 12490, 12487, 12479, 12575 +9181 , 12399, 12484, 12480, 12393, 12397, 12478, 12395, 12394 +9182 , 12480, 12393, 12394, 12395, 12487, 12398, 12396, 12479 +9183 , 12481, 12411, 12491, 12482, 12485, 12492, 12497, 12494 +9184 , 12491, 12411, 12481, 12482, 12498, 12493, 12486, 12495 +9185 , 12411, 12492, 12485, 12481, 12313, 12414, 12401, 12310 +9186 , 12493, 12411, 12481, 12486, 12402, 12313, 12310, 12400 +9187 , 12411, 12406, 12496, 12491, 12492, 12412, 12500, 12497 +9188 , 12496, 12406, 12411, 12491, 12501, 12413, 12493, 12498 +9189 , 12406, 12405, 12499, 12496, 12412, 12419, 12503, 12500 +9190 , 12499, 12405, 12406, 12496, 12504, 12420, 12413, 12501 +9191 , 12405, 12416, 12502, 12499, 12419, 12426, 12506, 12503 +9192 , 12502, 12416, 12405, 12499, 12507, 12427, 12420, 12504 +9193 , 12416, 12423, 12505, 12502, 12426, 12429, 12509, 12506 +9194 , 12505, 12423, 12416, 12502, 12510, 12430, 12427, 12507 +9195 , 12423, 12428, 12508, 12505, 12429, 12432, 12512, 12509 +9196 , 12508, 12428, 12423, 12505, 12513, 12433, 12430, 12510 +9197 , 12428, 12431, 12511, 12508, 12432, 12435, 12515, 12512 +9198 , 12511, 12431, 12428, 12508, 12516, 12436, 12433, 12513 +9199 , 12431, 12434, 12514, 12511, 12435, 12438, 12518, 12515 +9200 , 12514, 12434, 12431, 12511, 12519, 12439, 12436, 12516 +9201 , 12434, 12437, 12517, 12514, 12438, 12441, 12521, 12518 +9202 , 12517, 12437, 12434, 12514, 12522, 12442, 12439, 12519 +9203 , 12437, 12440, 12520, 12517, 12441, 12444, 12527, 12521 +9204 , 12520, 12440, 12437, 12517, 12528, 12445, 12442, 12522 +9205 , 12451, 12523, 12466, 12452, 12524, 12596, 12548, 12464 +9206 , 12466, 12523, 12451, 12452, 12390, 12599, 12525, 12386 +9207 , 12440, 12443, 12526, 12520, 12444, 12447, 12530, 12527 +9208 , 12526, 12443, 12440, 12520, 12531, 12448, 12445, 12528 +9209 , 12443, 12446, 12529, 12526, 12447, 12263, 12533, 12530 +9210 , 12529, 12446, 12443, 12526, 12534, 12449, 12448, 12531 +9211 , 12446, 12256, 12532, 12529, 12263, 12245, 12536, 12533 +9212 , 12532, 12256, 12446, 12529, 12537, 12450, 12449, 12534 +9213 , 12256, 12328, 12535, 12532, 12245, 12252, 12539, 12536 +9214 , 12535, 12328, 12256, 12532, 12540, 12455, 12450, 12537 +9215 , 12328, 12421, 12538, 12535, 12252, 12326, 12542, 12539 +9216 , 12538, 12421, 12328, 12535, 12543, 12458, 12455, 12540 +9217 , 12421, 12456, 12541, 12538, 12326, 12422, 12545, 12542 +9218 , 12541, 12456, 12421, 12538, 12546, 12462, 12458, 12543 +9219 , 12456, 12460, 12544, 12541, 12422, 12464, 12550, 12545 +9220 , 12544, 12460, 12456, 12541, 12551, 12465, 12462, 12546 +9221 , 12460, 12463, 12547, 12544, 12464, 12548, 12556, 12550 +9222 , 12547, 12463, 12460, 12544, 12557, 12549, 12465, 12551 +9223 , 12463, 12552, 12553, 12547, 12548, 12554, 12559, 12556 +9224 , 12553, 12552, 12463, 12547, 12560, 12555, 12549, 12557 +9225 , 12552, 12554, 12548, 12463, 12391, 12469, 12466, 12388 +9226 , 12555, 12552, 12463, 12549, 12470, 12391, 12388, 12467 +9227 , 12552, 12471, 12558, 12553, 12554, 12561, 12645, 12559 +9228 , 12558, 12471, 12552, 12553, 12644, 12562, 12555, 12560 +9229 , 12552, 12554, 12469, 12391, 12471, 12561, 12472, 12468 +9230 , 12471, 12468, 12391, 12552, 12562, 12473, 12470, 12555 +9231 , 7124, 7132, 7133, 7125, 12471, 12563, 12565, 12562 +9232 , 7123, 7134, 7132, 7124, 12561, 12566, 12563, 12471 +9233 , 7132, 7135, 7136, 7133, 12563, 12564, 12652, 12565 +9234 , 7134, 7137, 7135, 7132, 12566, 12651, 12564, 12563 +9235 , 7138, 7129, 7131, 7139, 12567, 12475, 12571, 12569 +9236 , 7140, 7130, 7129, 7138, 12570, 12572, 12475, 12567 +9237 , 7139, 7141, 7142, 7138, 12569, 12661, 12568, 12567 +9238 , 7138, 7142, 7143, 7140, 12567, 12568, 12662, 12570 +9239 , 12573, 12483, 12488, 12574, 12581, 12490, 12575, 12578 +9240 , 12488, 12483, 12573, 12574, 12576, 12489, 12582, 12579 +9241 , 12574, 12488, 12475, 12577, 12578, 12575, 12571, 12665 +9242 , 12475, 12488, 12574, 12577, 12572, 12576, 12579, 12666 +9243 , 12395, 12488, 12575, 12479, 12474, 12475, 12571, 12477 +9244 , 12478, 12576, 12488, 12395, 12476, 12572, 12475, 12474 +9245 , 12580, 12482, 12483, 12573, 12584, 12495, 12490, 12581 +9246 , 12483, 12482, 12580, 12573, 12489, 12494, 12585, 12582 +9247 , 12583, 12491, 12482, 12580, 12587, 12498, 12495, 12584 +9248 , 12482, 12491, 12583, 12580, 12494, 12497, 12588, 12585 +9249 , 12586, 12496, 12491, 12583, 12590, 12501, 12498, 12587 +9250 , 12491, 12496, 12586, 12583, 12497, 12500, 12591, 12588 +9251 , 12589, 12499, 12496, 12586, 12593, 12504, 12501, 12590 +9252 , 12496, 12499, 12589, 12586, 12500, 12503, 12594, 12591 +9253 , 12592, 12502, 12499, 12589, 12597, 12507, 12504, 12593 +9254 , 12499, 12502, 12592, 12589, 12503, 12506, 12598, 12594 +9255 , 12595, 12505, 12502, 12592, 12602, 12510, 12507, 12597 +9256 , 12502, 12505, 12595, 12592, 12506, 12509, 12603, 12598 +9257 , 12548, 12596, 12523, 12466, 12554, 13394, 12600, 12469 +9258 , 12466, 12523, 12599, 12390, 12469, 12600, 15493, 12392 +9259 , 12601, 12508, 12505, 12595, 12605, 12513, 12510, 12602 +9260 , 12505, 12508, 12601, 12595, 12509, 12512, 12606, 12603 +9261 , 12604, 12511, 12508, 12601, 12608, 12516, 12513, 12605 +9262 , 12508, 12511, 12604, 12601, 12512, 12515, 12609, 12606 +9263 , 12607, 12514, 12511, 12604, 12611, 12519, 12516, 12608 +9264 , 12511, 12514, 12607, 12604, 12515, 12518, 12612, 12609 +9265 , 12610, 12517, 12514, 12607, 12614, 12522, 12519, 12611 +9266 , 12514, 12517, 12610, 12607, 12518, 12521, 12615, 12612 +9267 , 12613, 12520, 12517, 12610, 12617, 12528, 12522, 12614 +9268 , 12517, 12520, 12613, 12610, 12521, 12527, 12618, 12615 +9269 , 12616, 12526, 12520, 12613, 12620, 12531, 12528, 12617 +9270 , 12520, 12526, 12616, 12613, 12527, 12530, 12621, 12618 +9271 , 12619, 12529, 12526, 12616, 12623, 12534, 12531, 12620 +9272 , 12526, 12529, 12619, 12616, 12530, 12533, 12624, 12621 +9273 , 12622, 12532, 12529, 12619, 12626, 12537, 12534, 12623 +9274 , 12529, 12532, 12622, 12619, 12533, 12536, 12627, 12624 +9275 , 12625, 12535, 12532, 12622, 12629, 12540, 12537, 12626 +9276 , 12532, 12535, 12625, 12622, 12536, 12539, 12630, 12627 +9277 , 12628, 12538, 12535, 12625, 12632, 12543, 12540, 12629 +9278 , 12535, 12538, 12628, 12625, 12539, 12542, 12633, 12630 +9279 , 12631, 12541, 12538, 12628, 12635, 12546, 12543, 12632 +9280 , 12538, 12541, 12631, 12628, 12542, 12545, 12636, 12633 +9281 , 12634, 12544, 12541, 12631, 12638, 12551, 12546, 12635 +9282 , 12541, 12544, 12634, 12631, 12545, 12550, 12639, 12636 +9283 , 12637, 12547, 12544, 12634, 12641, 12557, 12551, 12638 +9284 , 12544, 12547, 12637, 12634, 12550, 12556, 12642, 12639 +9285 , 12469, 12392, 12390, 12466, 12391, 12387, 12384, 12388 +9286 , 12640, 12553, 12547, 12637, 12646, 12560, 12557, 12641 +9287 , 12547, 12553, 12640, 12637, 12556, 12559, 12647, 12642 +9288 , 12643, 12558, 12553, 12640, 12649, 12644, 12560, 12646 +9289 , 12553, 12558, 12643, 12640, 12559, 12645, 12650, 12647 +9290 , 12558, 12564, 12648, 12643, 12645, 12651, 12739, 12650 +9291 , 12648, 12564, 12558, 12643, 12738, 12652, 12644, 12649 +9292 , 12558, 12645, 12561, 12471, 12564, 12651, 12566, 12563 +9293 , 12564, 12563, 12471, 12558, 12652, 12565, 12562, 12644 +9294 , 7135, 7144, 7145, 7136, 12564, 12653, 12655, 12652 +9295 , 7137, 7146, 7144, 7135, 12651, 12656, 12653, 12564 +9296 , 7144, 7147, 7148, 7145, 12653, 12654, 12745, 12655 +9297 , 7146, 7149, 7147, 7144, 12656, 12746, 12654, 12653 +9298 , 7150, 7142, 7141, 7151, 12657, 12568, 12661, 12659 +9299 , 7152, 7143, 7142, 7150, 12660, 12662, 12568, 12657 +9300 , 7151, 7153, 7154, 7150, 12659, 12755, 12658, 12657 +9301 , 7150, 7154, 7155, 7152, 12657, 12658, 12756, 12660 +9302 , 7156, 7157, 7120, 7108, 12600, 12727, 12472, 12469 +9303 , 7156, 12600, 12469, 7108, 7158, 15493, 12392, 7106 +9304 , 12663, 12574, 12577, 12664, 12671, 12578, 12665, 12668 +9305 , 12577, 12574, 12663, 12664, 12666, 12579, 12672, 12669 +9306 , 12664, 12577, 12568, 12667, 12668, 12665, 12661, 12759 +9307 , 12568, 12577, 12664, 12667, 12662, 12666, 12669, 12760 +9308 , 12475, 12577, 12665, 12571, 12567, 12568, 12661, 12569 +9309 , 12572, 12666, 12577, 12475, 12570, 12662, 12568, 12567 +9310 , 12670, 12573, 12574, 12663, 12674, 12581, 12578, 12671 +9311 , 12574, 12573, 12670, 12663, 12579, 12582, 12675, 12672 +9312 , 12673, 12580, 12573, 12670, 12677, 12584, 12581, 12674 +9313 , 12573, 12580, 12673, 12670, 12582, 12585, 12678, 12675 +9314 , 12676, 12583, 12580, 12673, 12680, 12587, 12584, 12677 +9315 , 12580, 12583, 12676, 12673, 12585, 12588, 12681, 12678 +9316 , 12679, 12586, 12583, 12676, 12683, 12590, 12587, 12680 +9317 , 12583, 12586, 12679, 12676, 12588, 12591, 12684, 12681 +9318 , 12682, 12589, 12586, 12679, 12686, 12593, 12590, 12683 +9319 , 12586, 12589, 12682, 12679, 12591, 12594, 12687, 12684 +9320 , 12685, 12592, 12589, 12682, 12689, 12597, 12593, 12686 +9321 , 12589, 12592, 12685, 12682, 12594, 12598, 12690, 12687 +9322 , 12688, 12595, 12592, 12685, 12692, 12602, 12597, 12689 +9323 , 12592, 12595, 12688, 12685, 12598, 12603, 12693, 12690 +9324 , 12691, 12601, 12595, 12688, 12695, 12605, 12602, 12692 +9325 , 12595, 12601, 12691, 12688, 12603, 12606, 12696, 12693 +9326 , 12694, 12604, 12601, 12691, 12698, 12608, 12605, 12695 +9327 , 12601, 12604, 12694, 12691, 12606, 12609, 12699, 12696 +9328 , 12697, 12607, 12604, 12694, 12701, 12611, 12608, 12698 +9329 , 12604, 12607, 12697, 12694, 12609, 12612, 12702, 12699 +9330 , 12700, 12610, 12607, 12697, 12704, 12614, 12611, 12701 +9331 , 12607, 12610, 12700, 12697, 12612, 12615, 12705, 12702 +9332 , 12703, 12613, 12610, 12700, 12707, 12617, 12614, 12704 +9333 , 12610, 12613, 12703, 12700, 12615, 12618, 12708, 12705 +9334 , 12706, 12616, 12613, 12703, 12710, 12620, 12617, 12707 +9335 , 12613, 12616, 12706, 12703, 12618, 12621, 12711, 12708 +9336 , 12709, 12619, 12616, 12706, 12713, 12623, 12620, 12710 +9337 , 12616, 12619, 12709, 12706, 12621, 12624, 12714, 12711 +9338 , 12712, 12622, 12619, 12709, 12716, 12626, 12623, 12713 +9339 , 12619, 12622, 12712, 12709, 12624, 12627, 12717, 12714 +9340 , 12715, 12625, 12622, 12712, 12719, 12629, 12626, 12716 +9341 , 12622, 12625, 12715, 12712, 12627, 12630, 12720, 12717 +9342 , 12718, 12628, 12625, 12715, 12722, 12632, 12629, 12719 +9343 , 12625, 12628, 12718, 12715, 12630, 12633, 12723, 12720 +9344 , 12721, 12631, 12628, 12718, 12725, 12635, 12632, 12722 +9345 , 12628, 12631, 12721, 12718, 12633, 12636, 12726, 12723 +9346 , 12724, 12634, 12631, 12721, 12729, 12638, 12635, 12725 +9347 , 12631, 12634, 12724, 12721, 12636, 12639, 12730, 12726 +9348 , 7157, 7159, 7123, 7120, 12727, 13420, 12561, 12472 +9349 , 12728, 12637, 12634, 12724, 12732, 12641, 12638, 12729 +9350 , 12634, 12637, 12728, 12724, 12639, 12642, 12733, 12730 +9351 , 12731, 12640, 12637, 12728, 12735, 12646, 12641, 12732 +9352 , 12637, 12640, 12731, 12728, 12642, 12647, 12736, 12733 +9353 , 12734, 12643, 12640, 12731, 12740, 12649, 12646, 12735 +9354 , 12640, 12643, 12734, 12731, 12647, 12650, 12741, 12736 +9355 , 12737, 12648, 12643, 12734, 12743, 12738, 12649, 12740 +9356 , 12643, 12648, 12737, 12734, 12650, 12739, 12744, 12741 +9357 , 12742, 12654, 12648, 12737, 12834, 12745, 12738, 12743 +9358 , 12648, 12654, 12742, 12737, 12739, 12746, 12835, 12744 +9359 , 12738, 12648, 12564, 12652, 12745, 12654, 12653, 12655 +9360 , 12648, 12739, 12651, 12564, 12654, 12746, 12656, 12653 +9361 , 7147, 7160, 7161, 7148, 12654, 12747, 12749, 12745 +9362 , 7149, 7162, 7160, 7147, 12746, 12750, 12747, 12654 +9363 , 7160, 7163, 7164, 7161, 12747, 12748, 12842, 12749 +9364 , 7162, 7165, 7163, 7160, 12750, 12841, 12748, 12747 +9365 , 7166, 7154, 7153, 7167, 12751, 12658, 12755, 12753 +9366 , 7168, 7155, 7154, 7166, 12754, 12756, 12658, 12751 +9367 , 7167, 7169, 7170, 7166, 12753, 12844, 12752, 12751 +9368 , 7166, 7170, 7171, 7168, 12751, 12752, 12845, 12754 +9369 , 12757, 12664, 12667, 12758, 12765, 12668, 12759, 12762 +9370 , 12667, 12664, 12757, 12758, 12760, 12669, 12766, 12763 +9371 , 12758, 12667, 12658, 12761, 12762, 12759, 12755, 12848 +9372 , 12658, 12667, 12758, 12761, 12756, 12760, 12763, 12849 +9373 , 12568, 12667, 12759, 12661, 12657, 12658, 12755, 12659 +9374 , 12662, 12760, 12667, 12568, 12660, 12756, 12658, 12657 +9375 , 12764, 12663, 12664, 12757, 12768, 12671, 12668, 12765 +9376 , 12664, 12663, 12764, 12757, 12669, 12672, 12769, 12766 +9377 , 12767, 12670, 12663, 12764, 12771, 12674, 12671, 12768 +9378 , 12663, 12670, 12767, 12764, 12672, 12675, 12772, 12769 +9379 , 12770, 12673, 12670, 12767, 12774, 12677, 12674, 12771 +9380 , 12670, 12673, 12770, 12767, 12675, 12678, 12775, 12772 +9381 , 12773, 12676, 12673, 12770, 12777, 12680, 12677, 12774 +9382 , 12673, 12676, 12773, 12770, 12678, 12681, 12778, 12775 +9383 , 12776, 12679, 12676, 12773, 12780, 12683, 12680, 12777 +9384 , 12676, 12679, 12776, 12773, 12681, 12684, 10900, 12778 +9385 , 12779, 12682, 12679, 12776, 12782, 12686, 12683, 12780 +9386 , 12679, 12682, 12779, 12776, 12684, 12687, 10901, 10900 +9387 , 12781, 12685, 12682, 12779, 12784, 12689, 12686, 12782 +9388 , 12682, 12685, 12781, 12779, 12687, 12690, 10907, 10901 +9389 , 12783, 12688, 12685, 12781, 12786, 12692, 12689, 12784 +9390 , 12685, 12688, 12783, 12781, 12690, 12693, 10908, 10907 +9391 , 12785, 12691, 12688, 12783, 12788, 12695, 12692, 12786 +9392 , 12688, 12691, 12785, 12783, 12693, 12696, 12789, 10908 +9393 , 12787, 12694, 12691, 12785, 12792, 12698, 12695, 12788 +9394 , 12691, 12694, 12787, 12785, 12696, 12699, 12793, 12789 +9395 , 7172, 7173, 7116, 7126, 12790, 12855, 12478, 12476 +9396 , 7126, 7130, 7174, 7172, 12476, 12572, 13507, 12790 +9397 , 12791, 12697, 12694, 12787, 12795, 12701, 12698, 12792 +9398 , 12694, 12697, 12791, 12787, 12699, 12702, 12796, 12793 +9399 , 12794, 12700, 12697, 12791, 12798, 12704, 12701, 12795 +9400 , 12697, 12700, 12794, 12791, 12702, 12705, 12799, 12796 +9401 , 12797, 12703, 12700, 12794, 12801, 12707, 12704, 12798 +9402 , 12700, 12703, 12797, 12794, 12705, 12708, 12802, 12799 +9403 , 12800, 12706, 12703, 12797, 12804, 12710, 12707, 12801 +9404 , 12703, 12706, 12800, 12797, 12708, 12711, 12805, 12802 +9405 , 12803, 12709, 12706, 12800, 12807, 12713, 12710, 12804 +9406 , 12706, 12709, 12803, 12800, 12711, 12714, 12808, 12805 +9407 , 12806, 12712, 12709, 12803, 12810, 12716, 12713, 12807 +9408 , 12709, 12712, 12806, 12803, 12714, 12717, 12811, 12808 +9409 , 12809, 12715, 12712, 12806, 12813, 12719, 12716, 12810 +9410 , 12712, 12715, 12809, 12806, 12717, 12720, 12814, 12811 +9411 , 12812, 12718, 12715, 12809, 12816, 12722, 12719, 12813 +9412 , 12715, 12718, 12812, 12809, 12720, 12723, 12817, 12814 +9413 , 12815, 12721, 12718, 12812, 12819, 12725, 12722, 12816 +9414 , 12718, 12721, 12815, 12812, 12723, 12726, 12820, 12817 +9415 , 12818, 12724, 12721, 12815, 12822, 12729, 12725, 12819 +9416 , 12721, 12724, 12818, 12815, 12726, 12730, 12823, 12820 +9417 , 12821, 12728, 12724, 12818, 12825, 12732, 12729, 12822 +9418 , 12724, 12728, 12821, 12818, 12730, 12733, 12826, 12823 +9419 , 12824, 12731, 12728, 12821, 12828, 12735, 12732, 12825 +9420 , 12728, 12731, 12824, 12821, 12733, 12736, 12829, 12826 +9421 , 12827, 12734, 12731, 12824, 12831, 12740, 12735, 12828 +9422 , 12731, 12734, 12827, 12824, 12736, 12741, 12832, 12829 +9423 , 12830, 12737, 12734, 12827, 12836, 12743, 12740, 12831 +9424 , 12734, 12737, 12830, 12827, 12741, 12744, 12837, 12832 +9425 , 12833, 12742, 12737, 12830, 12838, 12834, 12743, 12836 +9426 , 12737, 12742, 12833, 12830, 12744, 12835, 12839, 12837 +9427 , 12838, 12833, 12742, 12834, 12919, 12840, 12748, 12842 +9428 , 12833, 12839, 12835, 12742, 12840, 12920, 12841, 12748 +9429 , 12742, 12835, 12746, 12654, 12748, 12841, 12750, 12747 +9430 , 12748, 12747, 12654, 12742, 12842, 12749, 12745, 12834 +9431 , 7163, 7175, 7176, 7164, 12748, 12840, 12919, 12842 +9432 , 7165, 7177, 7175, 7163, 12841, 12920, 12840, 12748 +9433 , 7169, 7178, 7179, 7170, 12844, 12925, 12843, 12752 +9434 , 7170, 7179, 7180, 7171, 12752, 12843, 12926, 12845 +9435 , 12846, 12758, 12761, 12847, 12853, 12762, 12848, 12851 +9436 , 12761, 12758, 12846, 12847, 12849, 12763, 12854, 12850 +9437 , 12756, 12849, 12761, 12658, 12754, 12845, 12752, 12751 +9438 , 12845, 12849, 12761, 12752, 12926, 12850, 12847, 12843 +9439 , 12761, 12658, 12751, 12752, 12848, 12755, 12753, 12844 +9440 , 12847, 12761, 12752, 12843, 12851, 12848, 12844, 12925 +9441 , 12852, 12757, 12758, 12846, 12857, 12765, 12762, 12853 +9442 , 12758, 12757, 12852, 12846, 12763, 12766, 12858, 12854 +9443 , 7116, 12478, 12855, 7173, 7113, 12397, 15496, 7181 +9444 , 12856, 12764, 12757, 12852, 12860, 12768, 12765, 12857 +9445 , 12757, 12764, 12856, 12852, 12766, 12769, 12861, 12858 +9446 , 12859, 12767, 12764, 12856, 12863, 12771, 12768, 12860 +9447 , 12764, 12767, 12859, 12856, 12769, 12772, 12864, 12861 +9448 , 12862, 12770, 12767, 12859, 12866, 12774, 12771, 12863 +9449 , 12767, 12770, 12862, 12859, 12772, 12775, 12867, 12864 +9450 , 12865, 12773, 12770, 12862, 12869, 12777, 12774, 12866 +9451 , 12770, 12773, 12865, 12862, 12775, 12778, 10910, 12867 +9452 , 12868, 12776, 12773, 12865, 12871, 12780, 12777, 12869 +9453 , 12773, 12776, 12868, 12865, 12778, 10900, 10899, 10910 +9454 , 12870, 12779, 12776, 12868, 12872, 12782, 12780, 12871 +9455 , 12776, 12779, 12870, 12868, 10900, 10901, 10902, 10899 +9456 , 10665, 12781, 12779, 12870, 12873, 12784, 12782, 12872 +9457 , 12779, 12781, 10665, 12870, 10901, 10907, 10669, 10902 +9458 , 10666, 12783, 12781, 10665, 10672, 12786, 12784, 12873 +9459 , 12781, 12783, 10666, 10665, 10907, 10908, 10670, 10669 +9460 , 10671, 12785, 12783, 10666, 10675, 12788, 12786, 10672 +9461 , 12783, 12785, 10671, 10666, 10908, 12789, 10676, 10670 +9462 , 10674, 12787, 12785, 10671, 10678, 12792, 12788, 10675 +9463 , 12785, 12787, 10674, 10671, 12789, 12793, 10679, 10676 +9464 , 10677, 12791, 12787, 10674, 10681, 12795, 12792, 10678 +9465 , 12787, 12791, 10677, 10674, 12793, 12796, 10682, 10679 +9466 , 10680, 12794, 12791, 10677, 12875, 12798, 12795, 10681 +9467 , 12791, 12794, 10680, 10677, 12796, 12799, 10770, 10682 +9468 , 12874, 12797, 12794, 10680, 12877, 12801, 12798, 12875 +9469 , 12794, 12797, 12874, 10680, 12799, 12802, 12878, 10770 +9470 , 12876, 12800, 12797, 12874, 12880, 12804, 12801, 12877 +9471 , 12797, 12800, 12876, 12874, 12802, 12805, 12881, 12878 +9472 , 12879, 12803, 12800, 12876, 12883, 12807, 12804, 12880 +9473 , 12800, 12803, 12879, 12876, 12805, 12808, 12884, 12881 +9474 , 12882, 12806, 12803, 12879, 12886, 12810, 12807, 12883 +9475 , 12803, 12806, 12882, 12879, 12808, 12811, 12887, 12884 +9476 , 12885, 12809, 12806, 12882, 12889, 12813, 12810, 12886 +9477 , 12806, 12809, 12885, 12882, 12811, 12814, 12890, 12887 +9478 , 12888, 12812, 12809, 12885, 12892, 12816, 12813, 12889 +9479 , 12809, 12812, 12888, 12885, 12814, 12817, 12893, 12890 +9480 , 12891, 12815, 12812, 12888, 12895, 12819, 12816, 12892 +9481 , 12812, 12815, 12891, 12888, 12817, 12820, 12896, 12893 +9482 , 12894, 12818, 12815, 12891, 12902, 12822, 12819, 12895 +9483 , 12815, 12818, 12894, 12891, 12820, 12823, 12903, 12896 +9484 , 12897, 12898, 12485, 12484, 12899, 12949, 12494, 12489 +9485 , 12485, 12898, 12897, 12484, 12401, 12950, 12900, 12399 +9486 , 12897, 12899, 12489, 12484, 12855, 13525, 12576, 12478 +9487 , 12900, 12897, 12484, 12399, 15496, 12855, 12478, 12397 +9488 , 12901, 12821, 12818, 12894, 12905, 12825, 12822, 12902 +9489 , 12818, 12821, 12901, 12894, 12823, 12826, 12906, 12903 +9490 , 12904, 12824, 12821, 12901, 12908, 12828, 12825, 12905 +9491 , 12821, 12824, 12904, 12901, 12826, 12829, 12909, 12906 +9492 , 12907, 12827, 12824, 12904, 12911, 12831, 12828, 12908 +9493 , 12824, 12827, 12907, 12904, 12829, 12832, 12912, 12909 +9494 , 12910, 12830, 12827, 12907, 12914, 12836, 12831, 12911 +9495 , 12827, 12830, 12910, 12907, 12832, 12837, 12915, 12912 +9496 , 12913, 12833, 12830, 12910, 12916, 12838, 12836, 12914 +9497 , 12830, 12833, 12913, 12910, 12837, 12839, 12917, 12915 +9498 , 12916, 12913, 12833, 12838, 12981, 12918, 12840, 12919 +9499 , 12913, 12917, 12839, 12833, 12918, 12982, 12920, 12840 +9500 , 7182, 7183, 7184, 7175, 12921, 12922, 12918, 12840 +9501 , 7177, 7185, 7182, 7175, 12920, 12923, 12921, 12840 +9502 , 7175, 7184, 7186, 7176, 12840, 12918, 12981, 12919 +9503 , 7185, 7187, 7183, 7182, 12923, 12985, 12922, 12921 +9504 , 7188, 7189, 7190, 7179, 12847, 12927, 12924, 12843 +9505 , 7178, 7191, 7188, 7179, 12925, 12851, 12847, 12843 +9506 , 7179, 7190, 7192, 7180, 12843, 12924, 12991, 12926 +9507 , 7191, 7193, 7189, 7188, 12851, 12992, 12927, 12847 +9508 , 12928, 12852, 12846, 12929, 12933, 12857, 12853, 12930 +9509 , 12846, 12852, 12928, 12929, 12854, 12858, 12934, 12931 +9510 , 12846, 12929, 12930, 12853, 12847, 12927, 12992, 12851 +9511 , 12854, 12931, 12929, 12846, 12850, 12998, 12927, 12847 +9512 , 12932, 12856, 12852, 12928, 12937, 12860, 12857, 12933 +9513 , 12852, 12856, 12932, 12928, 12858, 12861, 12938, 12934 +9514 , 7041, 7194, 7057, 7042, 12935, 13285, 12282, 12278 +9515 , 12936, 12859, 12856, 12932, 12940, 12863, 12860, 12937 +9516 , 12856, 12859, 12936, 12932, 12861, 12864, 12941, 12938 +9517 , 12939, 12862, 12859, 12936, 12943, 12866, 12863, 12940 +9518 , 12859, 12862, 12939, 12936, 12864, 12867, 12944, 12941 +9519 , 12942, 12865, 12862, 12939, 12946, 12869, 12866, 12943 +9520 , 12862, 12865, 12942, 12939, 12867, 10910, 10912, 12944 +9521 , 12945, 12868, 12865, 12942, 12947, 12871, 12869, 12946 +9522 , 12865, 12868, 12945, 12942, 10910, 10899, 10911, 10912 +9523 , 10683, 12870, 12868, 12945, 10687, 12872, 12871, 12947 +9524 , 12868, 12870, 10683, 12945, 10899, 10902, 10772, 10911 +9525 , 10668, 10665, 12870, 10683, 10688, 12873, 12872, 10687 +9526 , 12870, 10665, 10668, 10683, 10902, 10669, 10689, 10772 +9527 , 12898, 12948, 12492, 12485, 12949, 12989, 12497, 12494 +9528 , 12492, 12948, 12898, 12485, 12414, 12990, 12950, 12401 +9529 , 10512, 12874, 10680, 10447, 10513, 12877, 12875, 10449 +9530 , 10680, 12874, 10512, 10447, 10770, 12878, 10694, 10691 +9531 , 10692, 12876, 12874, 10512, 10697, 12880, 12877, 10513 +9532 , 12874, 12876, 10692, 10512, 12878, 12881, 10773, 10694 +9533 , 10698, 12879, 12876, 10692, 10701, 12883, 12880, 10697 +9534 , 12876, 12879, 10698, 10692, 12881, 12884, 10963, 10773 +9535 , 12951, 12882, 12879, 10698, 10711, 12886, 12883, 10701 +9536 , 12879, 12882, 12951, 10698, 12884, 12887, 12953, 10963 +9537 , 12952, 12885, 12882, 12951, 12955, 12889, 12886, 10711 +9538 , 12882, 12885, 12952, 12951, 12887, 12890, 12956, 12953 +9539 , 12954, 12888, 12885, 12952, 12958, 12892, 12889, 12955 +9540 , 12885, 12888, 12954, 12952, 12890, 12893, 12959, 12956 +9541 , 12957, 12891, 12888, 12954, 12961, 12895, 12892, 12958 +9542 , 12888, 12891, 12957, 12954, 12893, 12896, 12962, 12959 +9543 , 12960, 12894, 12891, 12957, 12964, 12902, 12895, 12961 +9544 , 12891, 12894, 12960, 12957, 12896, 12903, 12965, 12962 +9545 , 12963, 12901, 12894, 12960, 12967, 12905, 12902, 12964 +9546 , 12894, 12901, 12963, 12960, 12903, 12906, 12968, 12965 +9547 , 12966, 12904, 12901, 12963, 12970, 12908, 12905, 12967 +9548 , 12901, 12904, 12966, 12963, 12906, 12909, 12971, 12968 +9549 , 12969, 12907, 12904, 12966, 12973, 12911, 12908, 12970 +9550 , 12904, 12907, 12969, 12966, 12909, 12912, 12974, 12971 +9551 , 12972, 12910, 12907, 12969, 12976, 12914, 12911, 12973 +9552 , 12907, 12910, 12972, 12969, 12912, 12915, 12977, 12974 +9553 , 12975, 12913, 12910, 12972, 12979, 12916, 12914, 12976 +9554 , 12910, 12913, 12975, 12972, 12915, 12917, 12980, 12977 +9555 , 12978, 12918, 12913, 12975, 13043, 12981, 12916, 12979 +9556 , 12913, 12918, 12978, 12975, 12917, 12982, 13044, 12980 +9557 , 7184, 7183, 7195, 7186, 12918, 12922, 12984, 12981 +9558 , 7183, 7196, 7197, 7195, 12922, 12983, 13051, 12984 +9559 , 7187, 7198, 7196, 7183, 12985, 13050, 12983, 12922 +9560 , 7190, 7189, 7193, 7199, 12924, 12927, 12992, 12987 +9561 , 7199, 7200, 7201, 7190, 12987, 13053, 12986, 12924 +9562 , 7190, 7201, 7202, 7192, 12924, 12986, 13054, 12991 +9563 , 12948, 12988, 12412, 12492, 12989, 13019, 12500, 12497 +9564 , 12412, 12988, 12948, 12492, 12409, 13020, 12990, 12414 +9565 , 12993, 12928, 12929, 12994, 13000, 12933, 12930, 12996 +9566 , 12929, 12928, 12993, 12994, 12931, 12934, 13001, 12997 +9567 , 12994, 12929, 12927, 12995, 12996, 12930, 12992, 13057 +9568 , 12927, 12929, 12994, 12995, 12998, 12931, 12997, 13058 +9569 , 12999, 12932, 12928, 12993, 13003, 12937, 12933, 13000 +9570 , 12928, 12932, 12999, 12993, 12934, 12938, 13004, 13001 +9571 , 13002, 12936, 12932, 12999, 13006, 12940, 12937, 13003 +9572 , 12932, 12936, 13002, 12999, 12938, 12941, 13007, 13004 +9573 , 13005, 12939, 12936, 13002, 13009, 12943, 12940, 13006 +9574 , 12936, 12939, 13005, 13002, 12941, 12944, 13010, 13007 +9575 , 13008, 12942, 12939, 13005, 13012, 12946, 12943, 13009 +9576 , 12939, 12942, 13008, 13005, 12944, 10912, 10941, 13010 +9577 , 13011, 12945, 12942, 13008, 13013, 12947, 12946, 13012 +9578 , 12942, 12945, 13011, 13008, 10912, 10911, 10932, 10941 +9579 , 12945, 10683, 10687, 12947, 13011, 10685, 10686, 13013 +9580 , 10773, 10963, 10698, 10692, 10703, 10891, 10699, 10693 +9581 , 10961, 12951, 10698, 10699, 10712, 10711, 10701, 10700 +9582 , 10698, 12951, 10961, 10699, 10963, 12953, 10948, 10891 +9583 , 13014, 12952, 12951, 10961, 13016, 12955, 10711, 10712 +9584 , 12951, 12952, 13014, 10961, 12953, 12956, 13017, 10948 +9585 , 13015, 12954, 12952, 13014, 13022, 12958, 12955, 13016 +9586 , 12952, 12954, 13015, 13014, 12956, 12959, 13023, 13017 +9587 , 12988, 13018, 12419, 12412, 13019, 13080, 12503, 12500 +9588 , 12419, 13018, 12988, 12412, 12410, 13081, 13020, 12409 +9589 , 13021, 12957, 12954, 13015, 13025, 12961, 12958, 13022 +9590 , 12954, 12957, 13021, 13015, 12959, 12962, 13026, 13023 +9591 , 13024, 12960, 12957, 13021, 13028, 12964, 12961, 13025 +9592 , 12957, 12960, 13024, 13021, 12962, 12965, 13029, 13026 +9593 , 13027, 12963, 12960, 13024, 13031, 12967, 12964, 13028 +9594 , 12960, 12963, 13027, 13024, 12965, 12968, 13032, 13029 +9595 , 13030, 12966, 12963, 13027, 13034, 12970, 12967, 13031 +9596 , 12963, 12966, 13030, 13027, 12968, 12971, 13035, 13032 +9597 , 13033, 12969, 12966, 13030, 13037, 12973, 12970, 13034 +9598 , 12966, 12969, 13033, 13030, 12971, 12974, 13038, 13035 +9599 , 13036, 12972, 12969, 13033, 13040, 12976, 12973, 13037 +9600 , 12969, 12972, 13036, 13033, 12974, 12977, 13041, 13038 +9601 , 13039, 12975, 12972, 13036, 13045, 12979, 12976, 13040 +9602 , 12972, 12975, 13039, 13036, 12977, 12980, 13046, 13041 +9603 , 13042, 12978, 12975, 13039, 13047, 13043, 12979, 13045 +9604 , 12975, 12978, 13042, 13039, 12980, 13044, 13049, 13046 +9605 , 13047, 13042, 12978, 13043, 13112, 13048, 12983, 13051 +9606 , 12978, 12983, 13048, 13042, 13044, 13050, 13116, 13049 +9607 , 12978, 13044, 12982, 12918, 12983, 13050, 12985, 12922 +9608 , 12983, 12922, 12918, 12978, 13051, 12984, 12981, 13043 +9609 , 7196, 7203, 7204, 7197, 12983, 13048, 13112, 13051 +9610 , 7196, 7203, 13048, 12983, 7198, 7205, 13116, 13050 +9611 , 7200, 7206, 7207, 7201, 13053, 13118, 13052, 12986 +9612 , 13052, 7207, 7201, 12986, 13119, 7208, 7202, 13054 +9613 , 13055, 12994, 12995, 13056, 13062, 12996, 13057, 13059 +9614 , 12995, 12994, 13055, 13056, 13058, 12997, 13063, 13060 +9615 , 12927, 12995, 13057, 12992, 12924, 12986, 13053, 12987 +9616 , 12986, 12995, 13057, 13053, 13052, 13056, 13059, 13118 +9617 , 12995, 13058, 13054, 12986, 12927, 12998, 12991, 12924 +9618 , 13054, 13058, 12995, 12986, 13119, 13060, 13056, 13052 +9619 , 13061, 12993, 12994, 13055, 13065, 13000, 12996, 13062 +9620 , 12994, 12993, 13061, 13055, 12997, 13001, 13066, 13063 +9621 , 13064, 12999, 12993, 13061, 13068, 13003, 13000, 13065 +9622 , 12993, 12999, 13064, 13061, 13001, 13004, 13069, 13066 +9623 , 13067, 13002, 12999, 13064, 13071, 13006, 13003, 13068 +9624 , 12999, 13002, 13067, 13064, 13004, 13007, 13072, 13069 +9625 , 13070, 13005, 13002, 13067, 13074, 13009, 13006, 13071 +9626 , 13002, 13005, 13070, 13067, 13007, 13010, 13075, 13072 +9627 , 13073, 13008, 13005, 13070, 13077, 13012, 13009, 13074 +9628 , 13005, 13008, 13073, 13070, 13010, 10941, 10950, 13075 +9629 , 13076, 13011, 13008, 13073, 13078, 13013, 13012, 13077 +9630 , 13008, 13011, 13076, 13073, 10941, 10932, 10943, 10950 +9631 , 13078, 13076, 13011, 13013, 10090, 10087, 10685, 10686 +9632 , 13018, 13079, 12426, 12419, 13080, 13114, 12506, 12503 +9633 , 12426, 13079, 13018, 12419, 12418, 13115, 13081, 12410 +9634 , 13082, 13014, 10961, 10595, 13084, 13016, 10712, 10618 +9635 , 10961, 13014, 13082, 10595, 10948, 13017, 10956, 10894 +9636 , 10961, 10595, 10618, 10712, 10699, 10593, 10598, 10700 +9637 , 13083, 13015, 13014, 13082, 13086, 13022, 13016, 13084 +9638 , 13014, 13015, 13083, 13082, 13017, 13023, 13087, 10956 +9639 , 13085, 13021, 13015, 13083, 13089, 13025, 13022, 13086 +9640 , 13015, 13021, 13085, 13083, 13023, 13026, 13090, 13087 +9641 , 13088, 13024, 13021, 13085, 13092, 13028, 13025, 13089 +9642 , 13021, 13024, 13088, 13085, 13026, 13029, 13093, 13090 +9643 , 13091, 13027, 13024, 13088, 13095, 13031, 13028, 13092 +9644 , 13024, 13027, 13091, 13088, 13029, 13032, 13096, 13093 +9645 , 13094, 13030, 13027, 13091, 13098, 13034, 13031, 13095 +9646 , 13027, 13030, 13094, 13091, 13032, 13035, 13099, 13096 +9647 , 13097, 13033, 13030, 13094, 13101, 13037, 13034, 13098 +9648 , 13030, 13033, 13097, 13094, 13035, 13038, 13102, 13099 +9649 , 13100, 13036, 13033, 13097, 13104, 13040, 13037, 13101 +9650 , 13033, 13036, 13100, 13097, 13038, 13041, 13105, 13102 +9651 , 13103, 13039, 13036, 13100, 13107, 13045, 13040, 13104 +9652 , 13036, 13039, 13103, 13100, 13041, 13046, 13108, 13105 +9653 , 13106, 13042, 13039, 13103, 13109, 13047, 13045, 13107 +9654 , 13039, 13042, 13106, 13103, 13046, 13049, 13111, 13108 +9655 , 13109, 13106, 13042, 13047, 13174, 13110, 13048, 13112 +9656 , 13042, 13048, 13110, 13106, 13049, 13116, 13175, 13111 +9657 , 13079, 13113, 12429, 12426, 13114, 13142, 12509, 12506 +9658 , 12429, 13113, 13079, 12426, 12425, 13143, 13115, 12418 +9659 , 7203, 7209, 7210, 7204, 13048, 13110, 13174, 13112 +9660 , 7203, 7209, 13110, 13048, 7205, 7211, 13175, 13116 +9661 , 7212, 7213, 7214, 7207, 13056, 13120, 13117, 13052 +9662 , 7206, 7215, 7212, 7207, 13118, 13059, 13056, 13052 +9663 , 13117, 7214, 7207, 13052, 13176, 7216, 7208, 13119 +9664 , 7215, 7217, 7213, 7212, 13059, 13178, 13120, 13056 +9665 , 13121, 13061, 13055, 13122, 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+10987 , 10144, 10145, 13880, 10154, 14218, 14191, 14190, 14217 +10988 , 10148, 10149, 10145, 10144, 14219, 14192, 14191, 14218 +10989 , 10150, 10151, 10149, 10148, 10201, 14193, 14192, 14219 +10990 , 10720, 13881, 10721, 10204, 10714, 10719, 10716, 10713 +10991 , 10721, 13881, 10720, 10204, 14220, 14195, 14194, 10206 +10992 , 13905, 13882, 13881, 10721, 14221, 14196, 14195, 14220 +10993 , 13906, 13883, 13882, 13905, 14222, 14197, 14196, 14221 +10994 , 13907, 13884, 13883, 13906, 14223, 14198, 14197, 14222 +10995 , 13910, 13885, 13884, 13907, 14225, 14199, 14198, 14223 +10996 , 13794, 13813, 12650, 12647, 14224, 14244, 12741, 12736 +10997 , 13911, 13886, 13885, 13910, 14226, 14200, 14199, 14225 +10998 , 13912, 13887, 13886, 13911, 14227, 14201, 14200, 14226 +10999 , 13913, 13888, 13887, 13912, 14228, 14202, 14201, 14227 +11000 , 13914, 13889, 13888, 13913, 14230, 14203, 14202, 14228 +11001 , 13915, 13890, 13889, 13914, 14231, 14229, 14203, 14230 +11002 , 14231, 13915, 13890, 14229, 14253, 13935, 13916, 14232 +11003 , 13916, 13891, 13865, 13890, 14232, 14205, 14204, 14229 +11004 , 7586, 7591, 7705, 7702, 13916, 13935, 14253, 14232 +11005 , 7703, 7706, 7592, 7588, 13894, 13918, 13937, 13917 +11006 , 7704, 7707, 7706, 7703, 14233, 14254, 13918, 13894 +11007 , 13920, 13898, 13896, 13919, 14235, 14209, 14208, 14234 +11008 , 13919, 13896, 13894, 13918, 14234, 14208, 14233, 14254 +11009 , 13921, 13899, 13898, 13920, 14236, 14210, 14209, 14235 +11010 , 13922, 13900, 13899, 13921, 14237, 14211, 14210, 14236 +11011 , 13923, 13901, 13900, 13922, 14238, 14212, 14211, 14237 +11012 , 13924, 13902, 13901, 13923, 14239, 14213, 14212, 14238 +11013 , 13925, 13903, 13902, 13924, 14240, 14214, 14213, 14239 +11014 , 10168, 13904, 13903, 13925, 14241, 14215, 14214, 14240 +11015 , 13904, 10153, 10152, 10168, 10119, 10108, 10122, 10120 +11016 , 10152, 10153, 13904, 10168, 14242, 14216, 14215, 14241 +11017 , 10155, 10154, 10153, 10152, 10210, 14217, 14216, 14242 +11018 , 10156, 10144, 10154, 10155, 10212, 14218, 14217, 10210 +11019 , 10158, 10148, 10144, 10156, 10213, 14219, 14218, 10212 +11020 , 13813, 14243, 12739, 12650, 14244, 14255, 12744, 12741 +11021 , 10727, 13905, 10721, 10722, 10731, 14221, 14220, 10725 +11022 , 13927, 13906, 13905, 10727, 14245, 14222, 14221, 10731 +11023 , 13928, 13907, 13906, 13927, 14246, 14223, 14222, 14245 +11024 , 13929, 13910, 13907, 13928, 14247, 14225, 14223, 14246 +11025 , 13930, 13911, 13910, 13929, 14248, 14226, 14225, 14247 +11026 , 13931, 13912, 13911, 13930, 14249, 14227, 14226, 14248 +11027 , 13932, 13913, 13912, 13931, 14250, 14228, 14227, 14249 +11028 , 13933, 13914, 13913, 13932, 14251, 14230, 14228, 14250 +11029 , 13934, 13915, 13914, 13933, 14252, 14231, 14230, 14251 +11030 , 14252, 13934, 13915, 14231, 14269, 13953, 13935, 14253 +11031 , 7591, 7594, 7708, 7705, 13935, 13953, 14269, 14253 +11032 , 7706, 7598, 7595, 7592, 13918, 13938, 13954, 13937 +11033 , 7709, 7599, 7598, 7706, 13919, 13939, 13938, 13918 +11034 , 7707, 7710, 7709, 7706, 14254, 14234, 13919, 13918 +11035 , 7711, 7601, 7599, 7709, 13920, 13940, 13939, 13919 +11036 , 7710, 7712, 7711, 7709, 14234, 14235, 13920, 13919 +11037 , 7712, 7713, 7601, 7711, 14235, 14270, 13940, 13920 +11038 , 12744, 14255, 14243, 12739, 12835, 14688, 14256, 12746 +11039 , 12739, 14243, 13814, 12651, 12746, 14256, 13855, 12656 +11040 , 13942, 13922, 13921, 13941, 14258, 14237, 14236, 14257 +11041 , 13941, 13921, 13920, 13940, 14257, 14236, 14235, 14270 +11042 , 13943, 13923, 13922, 13942, 14259, 14238, 14237, 14258 +11043 , 13944, 13924, 13923, 13943, 14260, 14239, 14238, 14259 +11044 , 13945, 13925, 13924, 13944, 14261, 14240, 14239, 14260 +11045 , 10169, 10168, 13925, 13945, 14262, 14241, 14240, 14261 +11046 , 10170, 10152, 10168, 10169, 10219, 14242, 14241, 14262 +11047 , 10735, 13927, 10727, 10728, 10736, 14245, 10731, 10730 +11048 , 10774, 13928, 13927, 10735, 10756, 14246, 14245, 10736 +11049 , 13947, 13929, 13928, 10774, 14263, 14247, 14246, 10756 +11050 , 13948, 13930, 13929, 13947, 14264, 14248, 14247, 14263 +11051 , 13949, 13931, 13930, 13948, 14265, 14249, 14248, 14264 +11052 , 7580, 7714, 7162, 7149, 14256, 14276, 12750, 12746 +11053 , 13950, 13932, 13931, 13949, 14266, 14250, 14249, 14265 +11054 , 13951, 13933, 13932, 13950, 14267, 14251, 14250, 14266 +11055 , 13952, 13934, 13933, 13951, 14268, 14252, 14251, 14267 +11056 , 14268, 13952, 13934, 14252, 14283, 13967, 13953, 14269 +11057 , 7594, 7597, 7715, 7708, 13953, 13967, 14283, 14269 +11058 , 7716, 7605, 7602, 7601, 13941, 13955, 13969, 13940 +11059 , 7713, 7717, 7716, 7601, 14270, 14257, 13941, 13940 +11060 , 7717, 7718, 7605, 7716, 14257, 14284, 13955, 13941 +11061 , 13957, 13943, 13942, 13956, 14272, 14259, 14258, 14271 +11062 , 13956, 13942, 13941, 13955, 14271, 14258, 14257, 14284 +11063 , 13958, 13944, 13943, 13957, 14273, 14260, 14259, 14272 +11064 , 13959, 13945, 13944, 13958, 14274, 14261, 14260, 14273 +11065 , 10181, 10169, 13945, 13959, 14275, 14262, 14261, 14274 +11066 , 10182, 10170, 10169, 10181, 10228, 10219, 14262, 14275 +11067 , 7714, 7719, 7165, 7162, 14276, 14691, 12841, 12750 +11068 , 13961, 13947, 10774, 10746, 14277, 14263, 10756, 10747 +11069 , 13962, 13948, 13947, 13961, 14278, 14264, 14263, 14277 +11070 , 13963, 13949, 13948, 13962, 14279, 14265, 14264, 14278 +11071 , 13964, 13950, 13949, 13963, 14280, 14266, 14265, 14279 +11072 , 13965, 13951, 13950, 13964, 14281, 14267, 14266, 14280 +11073 , 13966, 13952, 13951, 13965, 14282, 14268, 14267, 14281 +11074 , 13980, 13967, 13952, 13966, 14295, 14283, 14268, 14282 +11075 , 7597, 7604, 7720, 7715, 13967, 13980, 14295, 14283 +11076 , 7718, 7721, 7606, 7605, 14284, 14271, 13956, 13955 +11077 , 7721, 7722, 7609, 7606, 14271, 14272, 13957, 13956 +11078 , 7722, 7723, 7610, 7609, 14272, 14297, 13981, 13957 +11079 , 13958, 13959, 14274, 14273, 13971, 13972, 14286, 14285 +11080 , 13971, 13958, 13957, 13981, 14285, 14273, 14272, 14297 +11081 , 13959, 10181, 14275, 14274, 13972, 10227, 14288, 14286 +11082 , 7724, 7585, 7155, 7168, 14287, 14296, 12756, 12754 +11083 , 7168, 7171, 7725, 7724, 12754, 12845, 14726, 14287 +11084 , 13974, 13961, 10746, 10775, 14289, 14277, 10747, 10767 +11085 , 13975, 13962, 13961, 13974, 14290, 14278, 14277, 14289 +11086 , 13976, 13963, 13962, 13975, 14291, 14279, 14278, 14290 +11087 , 13977, 13964, 13963, 13976, 14292, 14280, 14279, 14291 +11088 , 13978, 13965, 13964, 13977, 14293, 14281, 14280, 14292 +11089 , 13979, 13966, 13965, 13978, 14294, 14282, 14281, 14293 +11090 , 13996, 13980, 13966, 13979, 14315, 14295, 14282, 14294 +11091 , 7604, 7611, 7726, 7720, 13980, 13996, 14315, 14295 +11092 , 7723, 7727, 7612, 7610, 14297, 14285, 13971, 13981 +11093 , 7727, 7728, 7613, 7612, 14285, 14286, 13972, 13971 +11094 , 7613, 7729, 7730, 7614, 13972, 14298, 14299, 10227 +11095 , 7728, 7731, 7729, 7613, 14286, 14318, 14298, 13972 +11096 , 7614, 7730, 7618, 7615, 10227, 14299, 13997, 10191 +11097 , 10193, 10194, 10231, 10230, 13998, 10612, 14301, 14300 +11098 , 10190, 10192, 10194, 10193, 13983, 10620, 10612, 13998 +11099 , 10191, 10193, 10230, 10229, 13997, 13998, 14300, 14623 +11100 , 10188, 10190, 10193, 10191, 13982, 13983, 13998, 13997 +11101 , 14301, 10612, 10194, 10231, 10615, 10611, 10258, 10613 +11102 , 13985, 10623, 10608, 10628, 14303, 10741, 10610, 14302 +11103 , 13986, 10742, 10623, 13985, 14304, 10743, 10741, 14303 +11104 , 13987, 10744, 10742, 13986, 14305, 10745, 10743, 14304 +11105 , 13988, 10748, 10744, 13987, 14306, 10749, 10745, 14305 +11106 , 13989, 10775, 10748, 13988, 14307, 10767, 10749, 14306 +11107 , 13990, 13974, 10775, 13989, 14308, 14289, 10767, 14307 +11108 , 13991, 13975, 13974, 13990, 14309, 14290, 14289, 14308 +11109 , 13992, 13976, 13975, 13991, 14310, 14291, 14290, 14309 +11110 , 13993, 13977, 13976, 13992, 14311, 14292, 14291, 14310 +11111 , 13994, 13978, 13977, 13993, 14314, 14293, 14292, 14311 +11112 , 14312, 13909, 12669, 12760, 14313, 14331, 12766, 12763 +11113 , 14312, 14313, 12763, 12760, 14296, 14748, 12849, 12756 +11114 , 13895, 14312, 12760, 12662, 13879, 14296, 12756, 12660 +11115 , 13995, 13979, 13978, 13994, 14316, 14294, 14293, 14314 +11116 , 14004, 13996, 13979, 13995, 14334, 14315, 14294, 14316 +11117 , 7611, 7621, 7732, 7726, 13996, 14004, 14334, 14315 +11118 , 7729, 7733, 7734, 7730, 14298, 14317, 14319, 14299 +11119 , 7731, 7735, 7733, 7729, 14318, 14335, 14317, 14298 +11120 , 7730, 7734, 7736, 7618, 14299, 14319, 14320, 13997 +11121 , 7618, 7736, 7737, 7622, 13997, 14320, 14321, 13998 +11122 , 7622, 7737, 7738, 7623, 13998, 14321, 14323, 10612 +11123 , 12307, 14322, 7696, 7081, 12386, 12525, 7739, 7083 +11124 , 7623, 7738, 7740, 7624, 10612, 14323, 14324, 10611 +11125 , 7624, 7740, 7741, 7625, 10611, 14324, 14325, 10614 +11126 , 7625, 7741, 7627, 7626, 10614, 14325, 11739, 10626 +11127 , 11526, 13985, 10628, 11524, 14327, 14303, 14302, 14326 +11128 , 10626, 10628, 14302, 10627, 11739, 11524, 14326, 14344 +11129 , 11528, 13986, 13985, 11526, 11579, 14304, 14303, 14327 +11130 , 11530, 13987, 13986, 11528, 11581, 14305, 14304, 11579 +11131 , 11532, 13988, 13987, 11530, 11583, 14306, 14305, 11581 +11132 , 11534, 13989, 13988, 11532, 11585, 14307, 14306, 11583 +11133 , 11536, 13990, 13989, 11534, 14328, 14308, 14307, 11585 +11134 , 14000, 13991, 13990, 11536, 14329, 14309, 14308, 14328 +11135 , 14001, 13992, 13991, 14000, 14330, 14310, 14309, 14329 +11136 , 14002, 13993, 13992, 14001, 14332, 14311, 14310, 14330 +11137 , 13909, 13926, 12672, 12669, 14331, 14345, 12769, 12766 +11138 , 14003, 13994, 13993, 14002, 14333, 14314, 14311, 14332 +11139 , 14333, 14003, 13994, 14314, 14346, 14005, 13995, 14316 +11140 , 7621, 7628, 7633, 7742, 14004, 14009, 14005, 13995 +11141 , 7743, 7732, 7621, 7742, 14316, 14334, 14004, 13995 +11142 , 7742, 7633, 7744, 7743, 13995, 14005, 14346, 14316 +11143 , 7735, 7745, 7734, 7733, 14335, 14337, 14319, 14317 +11144 , 7734, 7746, 7747, 7736, 14319, 14336, 14338, 14320 +11145 , 7745, 7748, 7746, 7734, 14337, 14348, 14336, 14319 +11146 , 7736, 7747, 7749, 7737, 14320, 14338, 14339, 14321 +11147 , 7750, 7751, 7738, 7737, 14340, 14341, 14323, 14321 +11148 , 7737, 7749, 7752, 7750, 14321, 14339, 14350, 14340 +11149 , 7751, 7753, 7740, 7738, 14341, 14342, 14324, 14323 +11150 , 7753, 7754, 7741, 7740, 14342, 14343, 14325, 14324 +11151 , 7754, 7755, 7627, 7741, 14343, 14344, 11739, 14325 +11152 , 7755, 7756, 7629, 7627, 14344, 14326, 11524, 11739 +11153 , 7756, 7757, 7630, 7629, 14326, 11627, 11537, 11524 +11154 , 11526, 11525, 11586, 14327, 11524, 11537, 11627, 14326 +11155 , 11536, 14000, 11543, 11535, 11466, 11472, 11474, 11473 +11156 , 11543, 14000, 11536, 11535, 11595, 14329, 14328, 11591 +11157 , 11547, 14001, 14000, 11543, 11598, 14330, 14329, 11595 +11158 , 13926, 13936, 12675, 12672, 14345, 14352, 12772, 12769 +11159 , 11596, 14002, 14001, 11547, 11642, 14332, 14330, 11598 +11160 , 14002, 14003, 14333, 14332, 11596, 14008, 14347, 11642 +11161 , 14010, 14005, 14003, 14008, 14351, 14346, 14333, 14347 +11162 , 7633, 7634, 7758, 7744, 14005, 14010, 14351, 14346 +11163 , 7748, 7759, 7747, 7746, 14348, 14349, 14338, 14336 +11164 , 7759, 7752, 7749, 7747, 14349, 14350, 14339, 14338 +11165 , 7761, 7762, 7639, 7638, 11642, 14347, 14008, 11596 +11166 , 7762, 7758, 7634, 7639, 14347, 14351, 14010, 14008 +11167 , 13936, 13946, 12678, 12675, 14352, 14353, 12775, 12772 +11168 , 13946, 13960, 12681, 12678, 14353, 14354, 12778, 12775 +11169 , 7664, 7778, 7666, 7665, 14015, 14033, 14031, 14014 +11170 , 7667, 7779, 7778, 7664, 14016, 14032, 14033, 14015 +11171 , 7668, 7780, 7779, 7667, 14017, 14035, 14032, 14016 +11172 , 7669, 7781, 7780, 7668, 14018, 14037, 14035, 14017 +11173 , 13960, 13968, 12684, 12681, 14354, 10897, 10900, 12778 +11174 , 7670, 7782, 7781, 7669, 14019, 14039, 14037, 14018 +11175 , 7670, 7671, 7783, 7784, 14019, 14020, 14356, 14355 +11176 , 7784, 7785, 7782, 7670, 14355, 14371, 14039, 14019 +11177 , 7671, 7672, 7786, 7783, 14020, 14021, 14357, 14356 +11178 , 7672, 7673, 7787, 7786, 14021, 14022, 14358, 14357 +11179 , 7673, 7674, 7788, 7787, 14022, 14023, 14359, 14358 +11180 , 7674, 7675, 7789, 7788, 14023, 14024, 14360, 14359 +11181 , 7675, 7676, 7790, 7789, 14024, 14025, 14361, 14360 +11182 , 7676, 7791, 7792, 7790, 14025, 14058, 14362, 14361 +11183 , 7793, 7794, 7795, 7791, 14060, 14056, 14053, 14058 +11184 , 7791, 7795, 7796, 7792, 14058, 14053, 14384, 14362 +11185 , 7797, 7798, 7794, 7793, 14363, 14061, 14056, 14060 +11186 , 7678, 7799, 7680, 7679, 14028, 14065, 14063, 14027 +11187 , 7681, 7800, 7799, 7678, 14029, 14064, 14065, 14028 +11188 , 7681, 7682, 7801, 7802, 14029, 14030, 14365, 14364 +11189 , 7802, 7803, 7800, 7681, 14364, 14391, 14064, 14029 +11190 , 7682, 7666, 7804, 7801, 14030, 14031, 14366, 14365 +11191 , 7666, 7778, 7805, 7804, 14031, 14033, 14367, 14366 +11192 , 7778, 7779, 7806, 7805, 14033, 14032, 14368, 14367 +11193 , 7779, 7780, 7807, 7806, 14032, 14035, 14369, 14368 +11194 , 7780, 7781, 7808, 7807, 14035, 14037, 14370, 14369 +11195 , 7781, 7782, 7785, 7808, 14037, 14039, 14371, 14370 +11196 , 13968, 13973, 12687, 12684, 10897, 10903, 10901, 10900 +11197 , 14046, 14043, 14041, 14044, 14376, 14372, 14373, 14374 +11198 , 14043, 14021, 14020, 14041, 14372, 14357, 14356, 14373 +11199 , 14044, 14041, 14039, 14042, 14374, 14373, 14371, 14403 +11200 , 14041, 14020, 14019, 14039, 14373, 14356, 14355, 14371 +11201 , 14048, 14045, 14043, 14046, 14378, 14375, 14372, 14376 +11202 , 14045, 14022, 14021, 14043, 14375, 14358, 14357, 14372 +11203 , 14050, 14047, 14045, 14048, 14380, 14377, 14375, 14378 +11204 , 14047, 14023, 14022, 14045, 14377, 14359, 14358, 14375 +11205 , 14052, 14049, 14047, 14050, 14382, 14379, 14377, 14380 +11206 , 14049, 14024, 14023, 14047, 14379, 14360, 14359, 14377 +11207 , 14054, 14051, 14049, 14052, 14383, 14381, 14379, 14382 +11208 , 14051, 14025, 14024, 14049, 14381, 14361, 14360, 14379 +11209 , 14057, 14053, 14051, 14054, 14411, 14384, 14381, 14383 +11210 , 14053, 14058, 14025, 14051, 14384, 14362, 14361, 14381 +11211 , 7795, 7794, 7809, 7796, 14053, 14056, 14385, 14384 +11212 , 7794, 7798, 7810, 7809, 14056, 14061, 14386, 14385 +11213 , 7798, 7811, 7812, 7810, 14061, 14090, 14388, 14386 +11214 , 7813, 7814, 7815, 7811, 14387, 14091, 14087, 14090 +11215 , 7811, 7815, 7816, 7812, 14090, 14087, 14418, 14388 +11216 , 7680, 7817, 7685, 7684, 14063, 14093, 14092, 14062 +11217 , 7680, 7799, 7818, 7819, 14063, 14065, 14390, 14389 +11218 , 7819, 7820, 7817, 7680, 14389, 14422, 14093, 14063 +11219 , 7799, 7800, 7803, 7818, 14065, 14064, 14391, 14390 +11220 , 14071, 14069, 14067, 14070, 14396, 14392, 14393, 14394 +11221 , 14069, 14031, 14030, 14067, 14392, 14366, 14365, 14393 +11222 , 14070, 14067, 14064, 14068, 14394, 14393, 14391, 14423 +11223 , 14067, 14030, 14029, 14064, 14393, 14365, 14364, 14391 +11224 , 14072, 14034, 14069, 14071, 14398, 14395, 14392, 14396 +11225 , 14034, 14033, 14031, 14069, 14395, 14367, 14366, 14392 +11226 , 14073, 14036, 14034, 14072, 14400, 14397, 14395, 14398 +11227 , 14036, 14032, 14033, 14034, 14397, 14368, 14367, 14395 +11228 , 14074, 14038, 14036, 14073, 14402, 14399, 14397, 14400 +11229 , 14038, 14035, 14032, 14036, 14399, 14369, 14368, 14397 +11230 , 13973, 13984, 12690, 12687, 10903, 10905, 10907, 10901 +11231 , 14075, 14040, 14038, 14074, 14404, 14401, 14399, 14402 +11232 , 14401, 14040, 14038, 14399, 14370, 14037, 14035, 14369 +11233 , 14076, 14042, 14040, 14075, 14405, 14403, 14401, 14404 +11234 , 14403, 14042, 14040, 14401, 14371, 14039, 14037, 14370 +11235 , 14077, 14044, 14042, 14076, 14406, 14374, 14403, 14405 +11236 , 14078, 14046, 14044, 14077, 14407, 14376, 14374, 14406 +11237 , 14079, 14048, 14046, 14078, 14408, 14378, 14376, 14407 +11238 , 14081, 14050, 14048, 14079, 14409, 14380, 14378, 14408 +11239 , 14082, 14052, 14050, 14081, 14410, 14382, 14380, 14409 +11240 , 14083, 14054, 14052, 14082, 14412, 14383, 14382, 14410 +11241 , 14084, 14057, 14054, 14083, 14414, 14411, 14383, 14412 +11242 , 14086, 14059, 14057, 14084, 14416, 14413, 14411, 14414 +11243 , 14413, 14059, 14057, 14411, 14385, 14056, 14053, 14384 +11244 , 14088, 14085, 14059, 14086, 14417, 14415, 14413, 14416 +11245 , 14085, 14061, 14056, 14059, 14415, 14386, 14385, 14413 +11246 , 14089, 14087, 14085, 14088, 14442, 14418, 14415, 14417 +11247 , 14087, 14090, 14061, 14085, 14418, 14388, 14386, 14415 +11248 , 7815, 7814, 7821, 7816, 14087, 14091, 14420, 14418 +11249 , 7822, 7823, 7824, 7814, 14419, 14117, 14114, 14091 +11250 , 7814, 7824, 7825, 7821, 14091, 14114, 14445, 14420 +11251 , 7685, 7817, 7820, 7826, 14092, 14093, 14422, 14421 +11252 , 7826, 7827, 7687, 7685, 14421, 14448, 14119, 14092 +11253 , 14096, 14068, 14066, 14095, 14426, 14423, 14424, 14425 +11254 , 14068, 14064, 14065, 14066, 14423, 14391, 14390, 14424 +11255 , 14095, 14066, 14093, 14094, 14425, 14424, 14422, 14449 +11256 , 14066, 14065, 14063, 14093, 14424, 14390, 14389, 14422 +11257 , 14097, 14070, 14068, 14096, 14427, 14394, 14423, 14426 +11258 , 14098, 14071, 14070, 14097, 14428, 14396, 14394, 14427 +11259 , 13984, 13999, 12693, 12690, 10905, 10965, 10908, 10907 +11260 , 14099, 14072, 14071, 14098, 14429, 14398, 14396, 14428 +11261 , 14100, 14073, 14072, 14099, 14430, 14400, 14398, 14429 +11262 , 14101, 14074, 14073, 14100, 14431, 14402, 14400, 14430 +11263 , 14102, 14075, 14074, 14101, 14432, 14404, 14402, 14431 +11264 , 14104, 14076, 14075, 14102, 14433, 14405, 14404, 14432 +11265 , 14105, 14077, 14076, 14104, 14434, 14406, 14405, 14433 +11266 , 14106, 14078, 14077, 14105, 14435, 14407, 14406, 14434 +11267 , 14107, 14079, 14078, 14106, 14436, 14408, 14407, 14435 +11268 , 14108, 14081, 14079, 14107, 14437, 14409, 14408, 14436 +11269 , 14109, 14082, 14081, 14108, 14438, 14410, 14409, 14437 +11270 , 14110, 14083, 14082, 14109, 14439, 14412, 14410, 14438 +11271 , 14111, 14084, 14083, 14110, 14440, 14414, 14412, 14439 +11272 , 14112, 14086, 14084, 14111, 14441, 14416, 14414, 14440 +11273 , 14113, 14088, 14086, 14112, 14443, 14417, 14416, 14441 +11274 , 14115, 14089, 14088, 14113, 14444, 14442, 14417, 14443 +11275 , 14116, 14114, 14089, 14115, 14470, 14445, 14442, 14444 +11276 , 14114, 14091, 14087, 14089, 14445, 14420, 14418, 14442 +11277 , 7824, 7823, 7828, 7825, 14114, 14117, 14447, 14445 +11278 , 7829, 7691, 7830, 7823, 14446, 14144, 14141, 14117 +11279 , 7823, 7830, 7831, 7828, 14117, 14141, 14473, 14447 +11280 , 7687, 7832, 7689, 7688, 14119, 14149, 14148, 14118 +11281 , 13999, 14006, 12696, 12693, 10965, 14469, 12789, 10908 +11282 , 7827, 7833, 7832, 7687, 14448, 14475, 14149, 14119 +11283 , 14121, 14095, 14094, 14120, 14451, 14425, 14449, 14450 +11284 , 14120, 14094, 14119, 14149, 14450, 14449, 14448, 14475 +11285 , 14094, 14093, 14092, 14119, 14449, 14422, 14421, 14448 +11286 , 14122, 14096, 14095, 14121, 14452, 14426, 14425, 14451 +11287 , 14123, 14097, 14096, 14122, 14453, 14427, 14426, 14452 +11288 , 14125, 14098, 14097, 14123, 14454, 14428, 14427, 14453 +11289 , 14126, 14099, 14098, 14125, 14455, 14429, 14428, 14454 +11290 , 14127, 14100, 14099, 14126, 14456, 14430, 14429, 14455 +11291 , 14128, 14101, 14100, 14127, 14457, 14431, 14430, 14456 +11292 , 14129, 14102, 14101, 14128, 14458, 14432, 14431, 14457 +11293 , 14130, 14104, 14102, 14129, 14459, 14433, 14432, 14458 +11294 , 14131, 14105, 14104, 14130, 14460, 14434, 14433, 14459 +11295 , 14132, 14106, 14105, 14131, 14461, 14435, 14434, 14460 +11296 , 14133, 14107, 14106, 14132, 14462, 14436, 14435, 14461 +11297 , 14134, 14108, 14107, 14133, 14463, 14437, 14436, 14462 +11298 , 14135, 14109, 14108, 14134, 14464, 14438, 14437, 14463 +11299 , 14136, 14110, 14109, 14135, 14465, 14439, 14438, 14464 +11300 , 14137, 14111, 14110, 14136, 14466, 14440, 14439, 14465 +11301 , 14138, 14112, 14111, 14137, 14467, 14441, 14440, 14466 +11302 , 14139, 14113, 14112, 14138, 14468, 14443, 14441, 14467 +11303 , 14140, 14115, 14113, 14139, 14471, 14444, 14443, 14468 +11304 , 14006, 14011, 12699, 12696, 14469, 14489, 12793, 12789 +11305 , 14142, 14116, 14115, 14140, 14472, 14470, 14444, 14471 +11306 , 14143, 14141, 14116, 14142, 14498, 14473, 14470, 14472 +11307 , 14141, 14117, 14114, 14116, 14473, 14447, 14445, 14470 +11308 , 7830, 7691, 7834, 7831, 14141, 14144, 14474, 14473 +11309 , 7690, 7693, 7835, 7691, 14145, 14177, 14174, 14144 +11310 , 7691, 7835, 7836, 7834, 14144, 14174, 14501, 14474 +11311 , 7689, 7837, 7695, 7694, 14148, 14179, 14178, 14147 +11312 , 7832, 7838, 7837, 7689, 14149, 14150, 14179, 14148 +11313 , 7833, 7839, 7838, 7832, 14475, 14503, 14150, 14149 +11314 , 14152, 14121, 14120, 14151, 14478, 14451, 14450, 14476 +11315 , 14151, 14120, 14149, 14150, 14476, 14450, 14475, 14503 +11316 , 7840, 7841, 7089, 7088, 14477, 14639, 12315, 12311 +11317 , 14477, 12311, 7088, 7840, 12950, 12401, 7090, 7842 +11318 , 14153, 14122, 14121, 14152, 14479, 14452, 14451, 14478 +11319 , 14154, 14123, 14122, 14153, 14480, 14453, 14452, 14479 +11320 , 14155, 14125, 14123, 14154, 14481, 14454, 14453, 14480 +11321 , 14156, 14126, 14125, 14155, 14482, 14455, 14454, 14481 +11322 , 14157, 14127, 14126, 14156, 14483, 14456, 14455, 14482 +11323 , 14158, 14128, 14127, 14157, 14484, 14457, 14456, 14483 +11324 , 14159, 14129, 14128, 14158, 14485, 14458, 14457, 14484 +11325 , 14160, 14130, 14129, 14159, 14486, 14459, 14458, 14485 +11326 , 14161, 14131, 14130, 14160, 14487, 14460, 14459, 14486 +11327 , 14162, 14132, 14131, 14161, 14488, 14461, 14460, 14487 +11328 , 14163, 14133, 14132, 14162, 14490, 14462, 14461, 14488 +11329 , 14011, 14012, 12702, 12699, 14489, 14509, 12796, 12793 +11330 , 14164, 14134, 14133, 14163, 14491, 14463, 14462, 14490 +11331 , 14165, 14135, 14134, 14164, 14492, 14464, 14463, 14491 +11332 , 14166, 14136, 14135, 14165, 14493, 14465, 14464, 14492 +11333 , 14168, 14137, 14136, 14166, 14494, 14466, 14465, 14493 +11334 , 14169, 14138, 14137, 14168, 14495, 14467, 14466, 14494 +11335 , 14170, 14139, 14138, 14169, 14496, 14468, 14467, 14495 +11336 , 14171, 14140, 14139, 14170, 14497, 14471, 14468, 14496 +11337 , 14172, 14142, 14140, 14171, 14499, 14472, 14471, 14497 +11338 , 14175, 14143, 14142, 14172, 14500, 14498, 14472, 14499 +11339 , 14176, 14174, 14143, 14175, 14526, 14501, 14498, 14500 +11340 , 14174, 14144, 14141, 14143, 14501, 14474, 14473, 14498 +11341 , 7835, 7693, 7843, 7836, 14174, 14177, 14502, 14501 +11342 , 7693, 7698, 7844, 7843, 14177, 14204, 14529, 14502 +11343 , 7837, 7845, 7700, 7695, 14179, 14180, 14206, 14178 +11344 , 7838, 7846, 7845, 7837, 14150, 14181, 14180, 14179 +11345 , 7839, 7847, 7846, 7838, 14503, 14531, 14181, 14150 +11346 , 14183, 14152, 14151, 14182, 14505, 14478, 14476, 14504 +11347 , 14182, 14151, 14150, 14181, 14504, 14476, 14503, 14531 +11348 , 14184, 14153, 14152, 14183, 14506, 14479, 14478, 14505 +11349 , 14185, 14154, 14153, 14184, 14507, 14480, 14479, 14506 +11350 , 14186, 14155, 14154, 14185, 14508, 14481, 14480, 14507 +11351 , 14187, 14156, 14155, 14186, 14510, 14482, 14481, 14508 +11352 , 14012, 14013, 12705, 12702, 14509, 14530, 12799, 12796 +11353 , 14188, 14157, 14156, 14187, 14511, 14483, 14482, 14510 +11354 , 14190, 14158, 14157, 14188, 14512, 14484, 14483, 14511 +11355 , 14191, 14159, 14158, 14190, 14513, 14485, 14484, 14512 +11356 , 14192, 14160, 14159, 14191, 14514, 14486, 14485, 14513 +11357 , 14193, 14161, 14160, 14192, 14515, 14487, 14486, 14514 +11358 , 10198, 14162, 14161, 14193, 14516, 14488, 14487, 14515 +11359 , 10200, 14163, 14162, 10198, 14517, 14490, 14488, 14516 +11360 , 14194, 14164, 14163, 10200, 14518, 14491, 14490, 14517 +11361 , 14195, 14165, 14164, 14194, 14519, 14492, 14491, 14518 +11362 , 14196, 14166, 14165, 14195, 14520, 14493, 14492, 14519 +11363 , 14197, 14168, 14166, 14196, 14521, 14494, 14493, 14520 +11364 , 14198, 14169, 14168, 14197, 14522, 14495, 14494, 14521 +11365 , 14199, 14170, 14169, 14198, 14523, 14496, 14495, 14522 +11366 , 14200, 14171, 14170, 14199, 14524, 14497, 14496, 14523 +11367 , 14201, 14172, 14171, 14200, 14525, 14499, 14497, 14524 +11368 , 14202, 14175, 14172, 14201, 14527, 14500, 14499, 14525 +11369 , 14203, 14176, 14175, 14202, 14528, 14526, 14500, 14527 +11370 , 14229, 14204, 14176, 14203, 14556, 14529, 14526, 14528 +11371 , 14204, 14177, 14174, 14176, 14529, 14502, 14501, 14526 +11372 , 7701, 7702, 7848, 7698, 14205, 14232, 14229, 14204 +11373 , 7698, 7848, 7849, 7844, 14204, 14229, 14556, 14529 +11374 , 14013, 14026, 12708, 12705, 14530, 14549, 12802, 12799 +11375 , 7845, 7850, 7704, 7700, 14180, 14208, 14233, 14206 +11376 , 7846, 7851, 7850, 7845, 14181, 14209, 14208, 14180 +11377 , 7847, 7852, 7851, 7846, 14531, 14558, 14209, 14181 +11378 , 14211, 14183, 14182, 14210, 14533, 14505, 14504, 14532 +11379 , 14210, 14182, 14181, 14209, 14532, 14504, 14531, 14558 +11380 , 14212, 14184, 14183, 14211, 14534, 14506, 14505, 14533 +11381 , 14213, 14185, 14184, 14212, 14535, 14507, 14506, 14534 +11382 , 14214, 14186, 14185, 14213, 14536, 14508, 14507, 14535 +11383 , 14215, 14187, 14186, 14214, 14537, 14510, 14508, 14536 +11384 , 14216, 14188, 14187, 14215, 14538, 14511, 14510, 14537 +11385 , 14217, 14190, 14188, 14216, 14539, 14512, 14511, 14538 +11386 , 14218, 14191, 14190, 14217, 14540, 14513, 14512, 14539 +11387 , 14219, 14192, 14191, 14218, 14541, 14514, 14513, 14540 +11388 , 10201, 14193, 14192, 14219, 14542, 14515, 14514, 14541 +11389 , 14193, 10198, 10197, 10201, 10151, 10195, 10161, 10150 +11390 , 10197, 10198, 14193, 10201, 14543, 14516, 14515, 14542 +11391 , 10199, 10200, 10198, 10197, 14544, 14517, 14516, 14543 +11392 , 10200, 14194, 10206, 10199, 10196, 10720, 10204, 10165 +11393 , 10206, 14194, 10200, 10199, 14545, 14518, 14517, 14544 +11394 , 14220, 14195, 14194, 10206, 14546, 14519, 14518, 14545 +11395 , 14221, 14196, 14195, 14220, 14547, 14520, 14519, 14546 +11396 , 14222, 14197, 14196, 14221, 14548, 14521, 14520, 14547 +11397 , 14223, 14198, 14197, 14222, 14550, 14522, 14521, 14548 +11398 , 14026, 14055, 12711, 12708, 14549, 14567, 12805, 12802 +11399 , 14225, 14199, 14198, 14223, 14551, 14523, 14522, 14550 +11400 , 14226, 14200, 14199, 14225, 14552, 14524, 14523, 14551 +11401 , 14227, 14201, 14200, 14226, 14553, 14525, 14524, 14552 +11402 , 14228, 14202, 14201, 14227, 14554, 14527, 14525, 14553 +11403 , 14230, 14203, 14202, 14228, 14555, 14528, 14527, 14554 +11404 , 14231, 14229, 14203, 14230, 14578, 14556, 14528, 14555 +11405 , 7848, 7702, 7853, 7849, 14229, 14232, 14557, 14556 +11406 , 7702, 7705, 7854, 7853, 14232, 14253, 14581, 14557 +11407 , 7850, 7710, 7707, 7704, 14208, 14234, 14254, 14233 +11408 , 7851, 7712, 7710, 7850, 14209, 14235, 14234, 14208 +11409 , 7852, 7855, 7712, 7851, 14558, 14582, 14235, 14209 +11410 , 14237, 14211, 14210, 14236, 14560, 14533, 14532, 14559 +11411 , 14236, 14210, 14209, 14235, 14559, 14532, 14558, 14582 +11412 , 14238, 14212, 14211, 14237, 14561, 14534, 14533, 14560 +11413 , 14239, 14213, 14212, 14238, 14562, 14535, 14534, 14561 +11414 , 14240, 14214, 14213, 14239, 14563, 14536, 14535, 14562 +11415 , 14241, 14215, 14214, 14240, 14564, 14537, 14536, 14563 +11416 , 14242, 14216, 14215, 14241, 14565, 14538, 14537, 14564 +11417 , 10210, 14217, 14216, 14242, 14566, 14539, 14538, 14565 +11418 , 10212, 14218, 14217, 10210, 10233, 14540, 14539, 14566 +11419 , 10213, 14219, 14218, 10212, 10235, 14541, 14540, 10233 +11420 , 14055, 14080, 12714, 12711, 14567, 14583, 12808, 12805 +11421 , 14219, 10201, 10202, 10213, 10148, 10150, 10162, 10158 +11422 , 10202, 10201, 14219, 10213, 10237, 14542, 14541, 10235 +11423 , 10203, 10197, 10201, 10202, 10239, 14543, 14542, 10237 +11424 , 10207, 10199, 10197, 10203, 14568, 14544, 14543, 10239 +11425 , 10208, 10206, 10199, 10207, 14569, 14545, 14544, 14568 +11426 , 10206, 14220, 10725, 10208, 10204, 10721, 10722, 10205 +11427 , 10725, 14220, 10206, 10208, 14570, 14546, 14545, 14569 +11428 , 10731, 14221, 14220, 10725, 14571, 14547, 14546, 14570 +11429 , 14245, 14222, 14221, 10731, 14572, 14548, 14547, 14571 +11430 , 14246, 14223, 14222, 14245, 14573, 14550, 14548, 14572 +11431 , 14247, 14225, 14223, 14246, 14574, 14551, 14550, 14573 +11432 , 14248, 14226, 14225, 14247, 14575, 14552, 14551, 14574 +11433 , 14249, 14227, 14226, 14248, 14576, 14553, 14552, 14575 +11434 , 14250, 14228, 14227, 14249, 14577, 14554, 14553, 14576 +11435 , 14251, 14230, 14228, 14250, 14579, 14555, 14554, 14577 +11436 , 14252, 14231, 14230, 14251, 14580, 14578, 14555, 14579 +11437 , 14269, 14253, 14231, 14252, 14596, 14581, 14578, 14580 +11438 , 14253, 14232, 14229, 14231, 14581, 14557, 14556, 14578 +11439 , 7705, 7708, 7856, 7854, 14253, 14269, 14596, 14581 +11440 , 7857, 7717, 7713, 7712, 14236, 14257, 14270, 14235 +11441 , 7855, 7858, 7857, 7712, 14582, 14559, 14236, 14235 +11442 , 7858, 7859, 7717, 7857, 14559, 14598, 14257, 14236 +11443 , 14080, 14103, 12717, 12714, 14583, 14593, 12811, 12808 +11444 , 14237, 14238, 14561, 14560, 14258, 14259, 14585, 14584 +11445 , 14258, 14237, 14236, 14257, 14584, 14560, 14559, 14598 +11446 , 14260, 14239, 14238, 14259, 14586, 14562, 14561, 14585 +11447 , 14261, 14240, 14239, 14260, 14587, 14563, 14562, 14586 +11448 , 14262, 14241, 14240, 14261, 14588, 14564, 14563, 14587 +11449 , 10219, 14242, 14241, 14262, 14589, 14565, 14564, 14588 +11450 , 14242, 10210, 10209, 10219, 10152, 10155, 10172, 10170 +11451 , 10209, 10210, 14242, 10219, 10240, 14566, 14565, 14589 +11452 , 10726, 10208, 10207, 10218, 10751, 14569, 14568, 10245 +11453 , 10729, 10725, 10208, 10726, 10753, 14570, 14569, 10751 +11454 , 10730, 10731, 10725, 10729, 10755, 14571, 14570, 10753 +11455 , 10736, 14245, 10731, 10730, 10758, 14572, 14571, 10755 +11456 , 10756, 14246, 14245, 10736, 10776, 14573, 14572, 10758 +11457 , 14263, 14247, 14246, 10756, 14590, 14574, 14573, 10776 +11458 , 14264, 14248, 14247, 14263, 14591, 14575, 14574, 14590 +11459 , 14265, 14249, 14248, 14264, 14592, 14576, 14575, 14591 +11460 , 14266, 14250, 14249, 14265, 14594, 14577, 14576, 14592 +11461 , 14103, 14124, 12720, 12717, 14593, 14603, 12814, 12811 +11462 , 14267, 14251, 14250, 14266, 14595, 14579, 14577, 14594 +11463 , 14268, 14252, 14251, 14267, 14597, 14580, 14579, 14595 +11464 , 14283, 14269, 14252, 14268, 14609, 14596, 14580, 14597 +11465 , 7708, 7715, 7860, 7856, 14269, 14283, 14609, 14596 +11466 , 7861, 7721, 7718, 7717, 14258, 14271, 14284, 14257 +11467 , 7859, 7862, 7861, 7717, 14598, 14584, 14258, 14257 +11468 , 7863, 7722, 7721, 7861, 14259, 14272, 14271, 14258 +11469 , 7862, 7864, 7863, 7861, 14584, 14585, 14259, 14258 +11470 , 7864, 7865, 7722, 7863, 14585, 14610, 14272, 14259 +11471 , 14274, 14261, 14260, 14273, 14600, 14587, 14586, 14599 +11472 , 14273, 14260, 14259, 14272, 14599, 14586, 14585, 14610 +11473 , 14275, 14262, 14261, 14274, 14601, 14588, 14587, 14600 +11474 , 10228, 10219, 14262, 14275, 14602, 14589, 14588, 14601 +11475 , 10220, 10209, 10219, 10228, 10248, 10240, 14589, 14602 +11476 , 14124, 14146, 12723, 12720, 14603, 14615, 12817, 12814 +11477 , 14277, 14263, 10756, 10747, 14604, 14590, 10776, 10768 +11478 , 14278, 14264, 14263, 14277, 14605, 14591, 14590, 14604 +11479 , 14279, 14265, 14264, 14278, 14606, 14592, 14591, 14605 +11480 , 14280, 14266, 14265, 14279, 14607, 14594, 14592, 14606 +11481 , 14281, 14267, 14266, 14280, 14608, 14595, 14594, 14607 +11482 , 14282, 14268, 14267, 14281, 14621, 14597, 14595, 14608 +11483 , 7715, 7720, 7866, 7867, 14283, 14295, 14282, 14268 +11484 , 7868, 7860, 7715, 7867, 14597, 14609, 14283, 14268 +11485 , 7867, 7866, 7869, 7868, 14268, 14282, 14621, 14597 +11486 , 7870, 7727, 7723, 7722, 14273, 14285, 14297, 14272 +11487 , 7865, 7871, 7870, 7722, 14610, 14599, 14273, 14272 +11488 , 7871, 7872, 7727, 7870, 14599, 14622, 14285, 14273 +11489 , 14288, 14275, 14274, 14286, 14612, 14601, 14600, 14611 +11490 , 14286, 14274, 14273, 14285, 14611, 14600, 14599, 14622 +11491 , 14275, 10228, 10229, 14288, 10181, 10182, 10191, 10227 +11492 , 10229, 10228, 14275, 14288, 14613, 14602, 14601, 14612 +11493 , 10230, 10220, 10228, 10229, 14614, 10248, 14602, 14613 +11494 , 14146, 14167, 12726, 12723, 14615, 14627, 12820, 12817 +11495 , 14289, 14277, 10747, 10767, 14616, 14604, 10768, 10777 +11496 , 14290, 14278, 14277, 14289, 14617, 14605, 14604, 14616 +11497 , 14291, 14279, 14278, 14290, 14618, 14606, 14605, 14617 +11498 , 14292, 14280, 14279, 14291, 14619, 14607, 14606, 14618 +11499 , 14293, 14281, 14280, 14292, 14620, 14608, 14607, 14619 +11500 , 14294, 14282, 14281, 14293, 14645, 14621, 14608, 14620 +11501 , 7720, 7726, 7873, 7866, 14295, 14315, 14294, 14282 +11502 , 7866, 7873, 7874, 7869, 14282, 14294, 14645, 14621 +11503 , 7872, 7875, 7728, 7727, 14622, 14611, 14286, 14285 +11504 , 7875, 7876, 7731, 7728, 14611, 14646, 14318, 14286 +11505 , 14623, 10229, 14288, 14624, 14626, 14613, 14612, 14625 +11506 , 14288, 10229, 14623, 14624, 10227, 10191, 13997, 14299 +11507 , 14288, 14624, 14625, 14612, 14286, 14318, 14646, 14611 +11508 , 10227, 14299, 14624, 14288, 13972, 14298, 14318, 14286 +11509 , 14300, 10230, 10229, 14623, 14628, 14614, 14613, 14626 +11510 , 14167, 14189, 12730, 12726, 14627, 14649, 12823, 12820 +11511 , 14301, 10231, 10230, 14300, 14629, 10759, 14614, 14628 +11512 , 10615, 10613, 10231, 14301, 14630, 10760, 10759, 14629 +11513 , 10617, 10607, 10613, 10615, 14631, 10761, 10760, 14630 +11514 , 10627, 10609, 10607, 10617, 14632, 10762, 10761, 14631 +11515 , 14302, 10610, 10609, 10627, 14633, 10763, 10762, 14632 +11516 , 10609, 10610, 14302, 10627, 10606, 10608, 10628, 10626 +11517 , 14303, 10741, 10610, 14302, 14634, 10764, 10763, 14633 +11518 , 14304, 10743, 10741, 14303, 14635, 10765, 10764, 14634 +11519 , 14305, 10745, 10743, 14304, 14636, 10766, 10765, 14635 +11520 , 14306, 10749, 10745, 14305, 14637, 10769, 10766, 14636 +11521 , 14307, 10767, 10749, 14306, 14638, 10777, 10769, 14637 +11522 , 14308, 14289, 10767, 14307, 14640, 14616, 10777, 14638 +11523 , 7841, 7877, 7094, 7089, 14639, 14776, 12318, 12315 +11524 , 14309, 14290, 14289, 14308, 14641, 14617, 14616, 14640 +11525 , 14310, 14291, 14290, 14309, 14642, 14618, 14617, 14641 +11526 , 14311, 14292, 14291, 14310, 14643, 14619, 14618, 14642 +11527 , 14314, 14293, 14292, 14311, 14644, 14620, 14619, 14643 +11528 , 14316, 14294, 14293, 14314, 14666, 14645, 14620, 14644 +11529 , 7726, 7732, 7743, 7873, 14315, 14334, 14316, 14294 +11530 , 7873, 7743, 7878, 7874, 14294, 14316, 14666, 14645 +11531 , 7876, 7879, 7735, 7731, 14646, 14669, 14335, 14318 +11532 , 14647, 14623, 14624, 14337, 14650, 14626, 14625, 14648 +11533 , 14624, 14623, 14647, 14337, 14299, 13997, 14320, 14319 +11534 , 14624, 14337, 14648, 14625, 14318, 14335, 14669, 14646 +11535 , 14298, 14299, 14624, 14318, 14317, 14319, 14337, 14335 +11536 , 14189, 14207, 12733, 12730, 14649, 14670, 12826, 12823 +11537 , 14340, 14300, 14623, 14647, 14651, 14628, 14626, 14650 +11538 , 14623, 14300, 14340, 14647, 13997, 13998, 14321, 14320 +11539 , 14300, 14301, 14629, 14628, 14340, 14341, 14652, 14651 +11540 , 13998, 10612, 14301, 14300, 14321, 14323, 14341, 14340 +11541 , 14301, 10615, 14630, 14629, 14341, 14342, 14653, 14652 +11542 , 10612, 10611, 10615, 14301, 14323, 14324, 14342, 14341 +11543 , 10615, 10617, 14631, 14630, 14342, 14343, 14654, 14653 +11544 , 10611, 10614, 10617, 10615, 14324, 14325, 14343, 14342 +11545 , 10617, 10627, 14632, 14631, 14343, 14344, 14655, 14654 +11546 , 10614, 10626, 10627, 10617, 14325, 11739, 14344, 14343 +11547 , 10627, 14302, 14633, 14632, 14344, 14326, 14656, 14655 +11548 , 14327, 14303, 14302, 14326, 14657, 14634, 14633, 14656 +11549 , 11579, 14304, 14303, 14327, 14658, 14635, 14634, 14657 +11550 , 11581, 14305, 14304, 11579, 14659, 14636, 14635, 14658 +11551 , 11583, 14306, 14305, 11581, 14660, 14637, 14636, 14659 +11552 , 11585, 14307, 14306, 11583, 14661, 14638, 14637, 14660 +11553 , 14328, 14308, 14307, 11585, 14662, 14640, 14638, 14661 +11554 , 14329, 14309, 14308, 14328, 14663, 14641, 14640, 14662 +11555 , 14330, 14310, 14309, 14329, 14664, 14642, 14641, 14663 +11556 , 14332, 14311, 14310, 14330, 14665, 14643, 14642, 14664 +11557 , 14333, 14314, 14311, 14332, 14667, 14644, 14643, 14665 +11558 , 14346, 14316, 14314, 14333, 14675, 14666, 14644, 14667 +11559 , 7743, 7744, 7880, 7878, 14316, 14346, 14675, 14666 +11560 , 7735, 7881, 7748, 7745, 14335, 14668, 14348, 14337 +11561 , 7879, 7882, 7881, 7735, 14669, 14676, 14668, 14335 +11562 , 14207, 14224, 12736, 12733, 14670, 14677, 12829, 12826 +11563 , 14337, 14647, 14650, 14648, 14348, 14349, 14671, 14678 +11564 , 14647, 14340, 14651, 14650, 14349, 14350, 14681, 14671 +11565 , 14319, 14320, 14647, 14337, 14336, 14338, 14349, 14348 +11566 , 14320, 14321, 14340, 14647, 14338, 14339, 14350, 14349 +11567 , 7750, 7752, 7883, 7751, 14340, 14350, 14672, 14341 +11568 , 7751, 7883, 7884, 7753, 14341, 14672, 14673, 14342 +11569 , 7885, 7886, 7754, 7753, 14653, 14654, 14343, 14342 +11570 , 7753, 7884, 7887, 7885, 14342, 14673, 14683, 14653 +11571 , 7886, 7888, 7755, 7754, 14654, 14655, 14344, 14343 +11572 , 7888, 7889, 7756, 7755, 14655, 14656, 14326, 14344 +11573 , 7889, 7890, 7757, 7756, 14656, 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14676, 14678, 14348, 14668 +11590 , 14224, 14244, 12741, 12736, 14677, 14687, 12832, 12829 +11591 , 7894, 7895, 7759, 7748, 14678, 14671, 14349, 14348 +11592 , 7759, 7896, 7897, 7752, 14349, 14679, 14680, 14350 +11593 , 7895, 7898, 7896, 7759, 14671, 14685, 14679, 14349 +11594 , 7899, 7900, 7883, 7752, 14681, 14682, 14672, 14350 +11595 , 7752, 7897, 7901, 7899, 14350, 14680, 14686, 14681 +11596 , 7900, 7887, 7884, 7883, 14682, 14683, 14673, 14672 +11597 , 7905, 7906, 7761, 7904, 11679, 14674, 11642, 11598 +11598 , 7906, 7893, 7762, 7761, 14674, 14684, 14347, 11642 +11599 , 7898, 7901, 7897, 7896, 14685, 14686, 14680, 14679 +11600 , 14244, 14255, 12744, 12741, 14687, 14689, 12837, 12832 +11601 , 14255, 14688, 12835, 12744, 14689, 14690, 12839, 12837 +11602 , 7783, 7923, 7785, 7784, 14356, 14373, 14371, 14355 +11603 , 7786, 7924, 7923, 7783, 14357, 14372, 14373, 14356 +11604 , 7787, 7925, 7924, 7786, 14358, 14375, 14372, 14357 +11605 , 7788, 7926, 7925, 7787, 14359, 14377, 14375, 14358 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14375, 14377, 14698, 14697 +11623 , 14379, 7927, 7926, 14377, 14719, 8061, 7941, 14698 +11624 , 14381, 7928, 7927, 14379, 14722, 8063, 8061, 14719 +11625 , 14384, 7796, 7928, 14381, 14724, 8065, 8063, 14722 +11626 , 14385, 7809, 7796, 14384, 14996, 8067, 8065, 14724 +11627 , 7810, 7942, 7943, 7809, 14386, 14415, 14413, 14385 +11628 , 14413, 7943, 7809, 14385, 14725, 8068, 8067, 14996 +11629 , 7812, 7816, 7942, 7810, 14388, 14418, 14415, 14386 +11630 , 7719, 7944, 7177, 7165, 14691, 15199, 12920, 12841 +11631 , 7818, 7945, 7820, 7819, 14390, 14424, 14422, 14389 +11632 , 7803, 7946, 7945, 7818, 14391, 14423, 14424, 14390 +11633 , 7929, 7947, 7946, 7803, 14393, 14394, 14423, 14391 +11634 , 7929, 7930, 7948, 7949, 14393, 14392, 14700, 14699 +11635 , 7949, 7950, 7947, 7929, 14699, 14728, 14394, 14393 +11636 , 7930, 7931, 7951, 7948, 14392, 14395, 14701, 14700 +11637 , 7931, 7932, 7952, 7951, 14395, 14397, 14702, 14701 +11638 , 7932, 7933, 7936, 7952, 14397, 14399, 14703, 14702 +11639 , 14405, 14403, 14401, 14404, 14708, 14704, 14705, 14706 +11640 , 14403, 14371, 14370, 14401, 14704, 14694, 14693, 14705 +11641 , 14404, 14401, 14399, 14402, 14706, 14705, 14703, 14734 +11642 , 14401, 14370, 14369, 14399, 14705, 14693, 14692, 14703 +11643 , 14406, 14374, 14403, 14405, 14710, 14707, 14704, 14708 +11644 , 14374, 14373, 14371, 14403, 14707, 14695, 14694, 14704 +11645 , 14407, 14376, 14374, 14406, 14712, 14709, 14707, 14710 +11646 , 14376, 14372, 14373, 14374, 14709, 14696, 14695, 14707 +11647 , 14408, 14378, 14376, 14407, 14714, 14711, 14709, 14712 +11648 , 14378, 14375, 14372, 14376, 14711, 14697, 14696, 14709 +11649 , 14409, 14380, 14378, 14408, 14716, 14713, 14711, 14714 +11650 , 14380, 14377, 14375, 14378, 14713, 14698, 14697, 14711 +11651 , 14410, 14382, 14380, 14409, 14718, 14715, 14713, 14716 +11652 , 14382, 14379, 14377, 14380, 14715, 14719, 14698, 14713 +11653 , 14412, 14383, 14382, 14410, 14721, 14717, 14715, 14718 +11654 , 14383, 14381, 14379, 14382, 14717, 14722, 14719, 14715 +11655 , 14414, 14411, 14383, 14412, 14723, 14720, 14717, 14721 +11656 , 14411, 14384, 14381, 14383, 14720, 14724, 14722, 14717 +11657 , 14416, 14413, 14411, 14414, 14745, 14725, 14720, 14723 +11658 , 14413, 14385, 14384, 14411, 14725, 14996, 14724, 14720 +11659 , 14415, 7942, 7943, 14413, 15006, 8085, 8068, 14725 +11660 , 7816, 7953, 7954, 7942, 14418, 14442, 14417, 14415 +11661 , 14417, 7954, 7942, 14415, 14749, 8086, 8085, 15006 +11662 , 7821, 7825, 7953, 7816, 14420, 14445, 14442, 14418 +11663 , 7171, 7955, 7956, 7725, 12845, 12849, 14748, 14726 +11664 , 7820, 7957, 7827, 7826, 14422, 14449, 14448, 14421 +11665 , 7945, 7958, 7957, 7820, 14424, 14425, 14449, 14422 +11666 , 7946, 7959, 7958, 7945, 14423, 14426, 14425, 14424 +11667 , 7946, 7947, 7950, 7960, 14423, 14394, 14728, 14727 +11668 , 7960, 7961, 7959, 7946, 14727, 14750, 14426, 14423 +11669 , 14429, 14398, 14396, 14428, 14733, 14729, 14730, 14731 +11670 , 14398, 14395, 14392, 14396, 14729, 14701, 14700, 14730 +11671 , 14428, 14396, 14394, 14427, 14731, 14730, 14728, 14751 +11672 , 14396, 14392, 14393, 14394, 14730, 14700, 14699, 14728 +11673 , 14430, 14400, 14398, 14429, 14735, 14732, 14729, 14733 +11674 , 14400, 14397, 14395, 14398, 14732, 14702, 14701, 14729 +11675 , 14431, 14402, 14400, 14430, 14736, 14734, 14732, 14735 +11676 , 14402, 14399, 14397, 14400, 14734, 14703, 14702, 14732 +11677 , 14432, 14404, 14402, 14431, 14737, 14706, 14734, 14736 +11678 , 7171, 7180, 7962, 7955, 12845, 12926, 12850, 12849 +11679 , 14433, 14405, 14404, 14432, 14738, 14708, 14706, 14737 +11680 , 14434, 14406, 14405, 14433, 14739, 14710, 14708, 14738 +11681 , 14435, 14407, 14406, 14434, 14740, 14712, 14710, 14739 +11682 , 14436, 14408, 14407, 14435, 14741, 14714, 14712, 14740 +11683 , 14437, 14409, 14408, 14436, 14742, 14716, 14714, 14741 +11684 , 14438, 14410, 14409, 14437, 14743, 14718, 14716, 14742 +11685 , 14439, 14412, 14410, 14438, 14744, 14721, 14718, 14743 +11686 , 14440, 14414, 14412, 14439, 14746, 14723, 14721, 14744 +11687 , 14441, 14416, 14414, 14440, 14747, 14745, 14723, 14746 +11688 , 14443, 14417, 14416, 14441, 14767, 14749, 14745, 14747 +11689 , 7955, 7962, 7963, 7956, 12849, 12850, 15252, 14748 +11690 , 14417, 14415, 14413, 14416, 14749, 15006, 14725, 14745 +11691 , 14442, 7953, 7954, 14417, 14772, 8098, 8086, 14749 +11692 , 14445, 7825, 7953, 14442, 15030, 8100, 8098, 14772 +11693 , 7828, 7831, 7964, 7825, 14447, 14473, 14470, 14445 +11694 , 14470, 7964, 7825, 14445, 14773, 8101, 8100, 15030 +11695 , 7957, 7965, 7833, 7827, 14449, 14450, 14475, 14448 +11696 , 7958, 7966, 7965, 7957, 14425, 14451, 14450, 14449 +11697 , 7959, 7967, 7966, 7958, 14426, 14452, 14451, 14425 +11698 , 7961, 7968, 7967, 7959, 14750, 14775, 14452, 14426 +11699 , 14454, 14428, 14427, 14453, 14753, 14731, 14751, 14752 +11700 , 14453, 14427, 14426, 14452, 14752, 14751, 14750, 14775 +11701 , 14427, 14394, 14423, 14426, 14751, 14728, 14727, 14750 +11702 , 14455, 14429, 14428, 14454, 14754, 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14897, 14878, 14877, 14896 +11877 , 14601, 14588, 14587, 14600, 14896, 14877, 14876, 14914 +11878 , 10248, 10240, 14589, 14602, 14898, 14879, 14878, 14897 +11879 , 10241, 10232, 10240, 10248, 14899, 14880, 14879, 14898 +11880 , 10242, 10234, 10232, 10241, 14900, 14881, 14880, 14899 +11881 , 10243, 10236, 10234, 10242, 14901, 14882, 14881, 14900 +11882 , 10246, 10238, 10236, 10243, 14902, 14883, 14882, 14901 +11883 , 10247, 10245, 10238, 10246, 14903, 14884, 14883, 14902 +11884 , 10750, 10751, 10245, 10247, 14904, 14885, 14884, 14903 +11885 , 10752, 10753, 10751, 10750, 14905, 14886, 14885, 14904 +11886 , 10754, 10755, 10753, 10752, 14906, 14887, 14886, 14905 +11887 , 10757, 10758, 10755, 10754, 14907, 14888, 14887, 14906 +11888 , 10768, 10776, 10758, 10757, 14908, 14889, 14888, 14907 +11889 , 14604, 14590, 10776, 10768, 14909, 14890, 14889, 14908 +11890 , 14605, 14591, 14590, 14604, 14910, 14891, 14890, 14909 +11891 , 14606, 14592, 14591, 14605, 14911, 14892, 14891, 14910 +11892 , 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14619, 14643, 14971, 14951, 14931, 14950 +11940 , 7874, 7878, 8013, 8010, 14645, 14666, 14644, 14620 +11941 , 8010, 8013, 8014, 8011, 14620, 14644, 14971, 14951 +11942 , 8012, 8015, 7879, 7876, 14952, 14972, 14669, 14646 +11943 , 14650, 14626, 14625, 14648, 14954, 14935, 14934, 14953 +11944 , 14648, 14625, 14646, 14669, 14953, 14934, 14952, 14972 +11945 , 14651, 14628, 14626, 14650, 14955, 14936, 14935, 14954 +11946 , 14652, 14629, 14628, 14651, 14956, 14937, 14936, 14955 +11947 , 14653, 14630, 14629, 14652, 14957, 14938, 14937, 14956 +11948 , 14630, 14631, 14939, 14938, 14653, 14654, 14958, 14957 +11949 , 14631, 14632, 14940, 14939, 14654, 14655, 14959, 14958 +11950 , 14632, 14633, 14941, 14940, 14655, 14656, 14960, 14959 +11951 , 14657, 14634, 14633, 14656, 14961, 14942, 14941, 14960 +11952 , 14658, 14635, 14634, 14657, 14963, 14943, 14942, 14961 +11953 , 14659, 14636, 14635, 14658, 14964, 14944, 14943, 14963 +11954 , 14660, 14637, 14636, 14659, 14965, 14945, 14944, 14964 +11955 , 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8041, 8024, 7901, 14991, 14992, 14983, 14686 +12004 , 8041, 8028, 8025, 8024, 14992, 14993, 14984, 14983 +12005 , 12802, 14549, 14567, 12805, 12878, 14994, 14995, 12881 +12006 , 7934, 8055, 7936, 7935, 14693, 14705, 14703, 14692 +12007 , 12805, 14567, 14583, 12808, 12881, 14995, 15001, 12884 +12008 , 7937, 8056, 8055, 7934, 14694, 14704, 14705, 14693 +12009 , 7938, 8057, 8056, 7937, 14695, 14707, 14704, 14694 +12010 , 7939, 8058, 8057, 7938, 14696, 14709, 14707, 14695 +12011 , 7940, 8059, 8058, 7939, 14697, 14711, 14709, 14696 +12012 , 7941, 8060, 8059, 7940, 14698, 14713, 14711, 14697 +12013 , 8061, 8062, 8060, 7941, 14719, 14715, 14713, 14698 +12014 , 8063, 8064, 8062, 8061, 14722, 14717, 14715, 14719 +12015 , 8065, 8066, 8064, 8063, 14724, 14720, 14717, 14722 +12016 , 8067, 8068, 8066, 8065, 14996, 14725, 14720, 14724 +12017 , 7948, 8069, 7950, 7949, 14700, 14730, 14728, 14699 +12018 , 7951, 8070, 8069, 7948, 14701, 14729, 14730, 14700 +12019 , 7952, 8071, 8070, 7951, 14702, 14732, 14729, 14701 +12020 , 7936, 8072, 8071, 7952, 14703, 14734, 14732, 14702 +12021 , 8055, 8073, 8072, 7936, 14705, 14706, 14734, 14703 +12022 , 8056, 8074, 8073, 8055, 14704, 14708, 14706, 14705 +12023 , 8056, 8057, 8075, 8076, 14704, 14707, 14998, 14997 +12024 , 8076, 8077, 8074, 8056, 14997, 15012, 14708, 14704 +12025 , 8057, 8058, 8078, 8075, 14707, 14709, 14999, 14998 +12026 , 8058, 8059, 8079, 8078, 14709, 14711, 15000, 14999 +12027 , 8059, 8060, 8080, 8079, 14711, 14713, 15002, 15000 +12028 , 12808, 14583, 14593, 12811, 12884, 15001, 15026, 12887 +12029 , 8060, 8062, 8081, 8080, 14713, 14715, 15003, 15002 +12030 , 8062, 8064, 8082, 8081, 14715, 14717, 15004, 15003 +12031 , 8064, 8066, 8083, 8082, 14717, 14720, 15005, 15004 +12032 , 8066, 8068, 8084, 8083, 14720, 14725, 15007, 15005 +12033 , 8085, 8086, 8087, 8068, 15006, 14749, 14745, 14725 +12034 , 8068, 8087, 8088, 8084, 14725, 14745, 15028, 15007 +12035 , 7950, 8089, 7961, 7960, 14728, 14751, 14750, 14727 +12036 , 8069, 8090, 8089, 7950, 14730, 14731, 14751, 14728 +12037 , 8070, 8091, 8090, 8069, 14729, 14733, 14731, 14730 +12038 , 8070, 8071, 8092, 8093, 14729, 14732, 15009, 15008 +12039 , 8093, 8094, 8091, 8070, 15008, 15032, 14733, 14729 +12040 , 8071, 8072, 8095, 8092, 14732, 14734, 15010, 15009 +12041 , 8072, 8073, 8096, 8095, 14734, 14706, 15011, 15010 +12042 , 8073, 8074, 8077, 8096, 14706, 14708, 15012, 15011 +12043 , 14740, 14712, 14710, 14739, 15017, 15013, 15014, 15015 +12044 , 14712, 14709, 14707, 14710, 15013, 14999, 14998, 15014 +12045 , 14739, 14710, 14708, 14738, 15015, 15014, 15012, 15038 +12046 , 14710, 14707, 14704, 14708, 15014, 14998, 14997, 15012 +12047 , 14741, 14714, 14712, 14740, 15019, 15016, 15013, 15017 +12048 , 14714, 14711, 14709, 14712, 15016, 15000, 14999, 15013 +12049 , 14742, 14716, 14714, 14741, 15021, 15018, 15016, 15019 +12050 , 15018, 14716, 14714, 15016, 15002, 14713, 14711, 15000 +12051 , 14743, 14718, 14716, 14742, 15023, 15020, 15018, 15021 +12052 , 15020, 14718, 14716, 15018, 15003, 14715, 14713, 15002 +12053 , 14744, 14721, 14718, 14743, 15025, 15022, 15020, 15023 +12054 , 14721, 14717, 14715, 14718, 15022, 15004, 15003, 15020 +12055 , 14746, 14723, 14721, 14744, 15027, 15024, 15022, 15025 +12056 , 14723, 14720, 14717, 14721, 15024, 15005, 15004, 15022 +12057 , 12811, 14593, 14603, 12814, 12887, 15026, 15049, 12890 +12058 , 14747, 14745, 14723, 14746, 15047, 15028, 15024, 15027 +12059 , 14745, 14725, 14720, 14723, 15028, 15007, 15005, 15024 +12060 , 8087, 8086, 8097, 8088, 14745, 14749, 15029, 15028 +12061 , 8086, 8098, 8099, 8097, 14749, 14772, 15031, 15029 +12062 , 8100, 8101, 8102, 8098, 15030, 14773, 14769, 14772 +12063 , 8098, 8102, 8103, 8099, 14772, 14769, 15053, 15031 +12064 , 8089, 8104, 7968, 7961, 14751, 14752, 14775, 14750 +12065 , 8090, 8105, 8104, 8089, 14731, 14753, 14752, 14751 +12066 , 8091, 8106, 8105, 8090, 14733, 14754, 14753, 14731 +12067 , 8094, 8107, 8106, 8091, 15032, 15055, 14754, 14733 +12068 , 14756, 14736, 14735, 14755, 15037, 15033, 15034, 15035 +12069 , 14736, 14734, 14732, 14735, 15033, 15010, 15009, 15034 +12070 , 14755, 14735, 14733, 14754, 15035, 15034, 15032, 15055 +12071 , 14735, 14732, 14729, 14733, 15034, 15009, 15008, 15032 +12072 , 14757, 14737, 14736, 14756, 15039, 15036, 15033, 15037 +12073 , 14737, 14706, 14734, 14736, 15036, 15011, 15010, 15033 +12074 , 14758, 14738, 14737, 14757, 15040, 15038, 15036, 15039 +12075 , 14738, 14708, 14706, 14737, 15038, 15012, 15011, 15036 +12076 , 14759, 14739, 14738, 14758, 15041, 15015, 15038, 15040 +12077 , 14760, 14740, 14739, 14759, 15042, 15017, 15015, 15041 +12078 , 14761, 14741, 14740, 14760, 15043, 15019, 15017, 15042 +12079 , 14762, 14742, 14741, 14761, 15044, 15021, 15019, 15043 +12080 , 14763, 14743, 14742, 14762, 15045, 15023, 15021, 15044 +12081 , 14765, 14744, 14743, 14763, 15046, 15025, 15023, 15045 +12082 , 14766, 14746, 14744, 14765, 15048, 15027, 15025, 15046 +12083 , 14768, 14747, 14746, 14766, 15051, 15047, 15027, 15048 +12084 , 12814, 14603, 14615, 12817, 12890, 15049, 15067, 12893 +12085 , 14770, 14767, 14747, 14768, 15052, 15050, 15047, 15051 +12086 , 14767, 14749, 14745, 14747, 15050, 15029, 15028, 15047 +12087 , 14771, 14769, 14767, 14770, 15069, 15053, 15050, 15052 +12088 , 14769, 14772, 14749, 14767, 15053, 15031, 15029, 15050 +12089 , 8102, 8101, 8108, 8103, 14769, 14773, 15054, 15053 +12090 , 7971, 7970, 8109, 8101, 14774, 14797, 14794, 14773 +12091 , 8101, 8109, 8110, 8108, 14773, 14794, 15072, 15054 +12092 , 8104, 8111, 7975, 7968, 14752, 14777, 14800, 14775 +12093 , 8105, 8112, 8111, 8104, 14753, 14778, 14777, 14752 +12094 , 8106, 8113, 8112, 8105, 14754, 14779, 14778, 14753 +12095 , 8107, 8114, 8113, 8106, 15055, 15074, 14779, 14754 +12096 , 14781, 14756, 14755, 14780, 15057, 15037, 15035, 15056 +12097 , 14780, 14755, 14754, 14779, 15056, 15035, 15055, 15074 +12098 , 14782, 14757, 14756, 14781, 15058, 15039, 15037, 15057 +12099 , 14783, 14758, 14757, 14782, 15059, 15040, 15039, 15058 +12100 , 14784, 14759, 14758, 14783, 15060, 15041, 15040, 15059 +12101 , 14786, 14760, 14759, 14784, 15061, 15042, 15041, 15060 +12102 , 14787, 14761, 14760, 14786, 15062, 15043, 15042, 15061 +12103 , 14788, 14762, 14761, 14787, 15063, 15044, 15043, 15062 +12104 , 14789, 14763, 14762, 14788, 15064, 15045, 15044, 15063 +12105 , 14790, 14765, 14763, 14789, 15065, 15046, 15045, 15064 +12106 , 14791, 14766, 14765, 14790, 15066, 15048, 15046, 15065 +12107 , 14792, 14768, 14766, 14791, 15068, 15051, 15048, 15066 +12108 , 12817, 14615, 14627, 12820, 12893, 15067, 15084, 12896 +12109 , 14793, 14770, 14768, 14792, 15070, 15052, 15051, 15068 +12110 , 14795, 14771, 14770, 14793, 15071, 15069, 15052, 15070 +12111 , 14796, 14794, 14771, 14795, 15090, 15072, 15069, 15071 +12112 , 14794, 14773, 14769, 14771, 15072, 15054, 15053, 15069 +12113 , 7970, 8115, 8116, 8109, 14797, 14819, 14796, 14794 +12114 , 8109, 8116, 8117, 8110, 14794, 14796, 15090, 15072 +12115 , 7976, 7978, 8115, 7970, 14798, 14822, 14819, 14797 +12116 , 7975, 8118, 7982, 7981, 14800, 14825, 14824, 14799 +12117 , 8111, 8119, 8118, 7975, 14777, 14801, 14825, 14800 +12118 , 8112, 8120, 8119, 8111, 14778, 14802, 14801, 14777 +12119 , 8112, 8113, 8114, 8121, 14778, 14779, 15074, 15073 +12120 , 8121, 8122, 8120, 8112, 15073, 15093, 14802, 14778 +12121 , 14806, 14781, 14780, 14805, 15076, 15057, 15056, 15075 +12122 , 14805, 14780, 14779, 14803, 15075, 15056, 15074, 15094 +12123 , 14807, 14782, 14781, 14806, 15077, 15058, 15057, 15076 +12124 , 14808, 14783, 14782, 14807, 15078, 15059, 15058, 15077 +12125 , 14809, 14784, 14783, 14808, 15079, 15060, 15059, 15078 +12126 , 14810, 14786, 14784, 14809, 15080, 15061, 15060, 15079 +12127 , 14811, 14787, 14786, 14810, 15081, 15062, 15061, 15080 +12128 , 14812, 14788, 14787, 14811, 15082, 15063, 15062, 15081 +12129 , 14813, 14789, 14788, 14812, 15083, 15064, 15063, 15082 +12130 , 14814, 14790, 14789, 14813, 15085, 15065, 15064, 15083 +12131 , 12820, 14627, 14649, 12823, 12896, 15084, 15105, 12903 +12132 , 14815, 14791, 14790, 14814, 15086, 15066, 15065, 15085 +12133 , 14816, 14792, 14791, 14815, 15087, 15068, 15066, 15086 +12134 , 14817, 14793, 14792, 14816, 15088, 15070, 15068, 15087 +12135 , 14818, 14795, 14793, 14817, 15089, 15071, 15070, 15088 +12136 , 14820, 14796, 14795, 14818, 15112, 15090, 15071, 15089 +12137 , 8116, 8115, 8123, 8117, 14796, 14819, 15091, 15090 +12138 , 7978, 7984, 8124, 8115, 14822, 14847, 14821, 14819 +12139 , 8115, 8124, 8125, 8123, 14819, 14821, 15115, 15091 +12140 , 8118, 8126, 7987, 7982, 14825, 14826, 14849, 14824 +12141 , 8119, 8127, 8126, 8118, 14801, 14827, 14826, 14825 +12142 , 8119, 8120, 8122, 8128, 14801, 14802, 15093, 15092 +12143 , 8128, 8129, 8127, 8119, 15092, 15117, 14827, 14801 +12144 , 14830, 14805, 14803, 14829, 15096, 15075, 15094, 15095 +12145 , 14829, 14803, 14802, 14828, 15095, 15094, 15093, 15118 +12146 , 14803, 14779, 14778, 14802, 15094, 15074, 15073, 15093 +12147 , 14831, 14806, 14805, 14830, 15097, 15076, 15075, 15096 +12148 , 14832, 14807, 14806, 14831, 15098, 15077, 15076, 15097 +12149 , 14833, 14808, 14807, 14832, 15099, 15078, 15077, 15098 +12150 , 14834, 14809, 14808, 14833, 15102, 15079, 15078, 15099 +12151 , 15100, 15101, 12322, 12340, 15254, 13970, 12260, 12267 +12152 , 12322, 15101, 15100, 12340, 12418, 13115, 13143, 12425 +12153 , 14835, 14810, 14809, 14834, 15103, 15080, 15079, 15102 +12154 , 14836, 14811, 14810, 14835, 15104, 15081, 15080, 15103 +12155 , 14837, 14812, 14811, 14836, 15106, 15082, 15081, 15104 +12156 , 12823, 14649, 14670, 12826, 12903, 15105, 15125, 12906 +12157 , 14838, 14813, 14812, 14837, 15107, 15083, 15082, 15106 +12158 , 13970, 15101, 12322, 12260, 12239, 14962, 12320, 12238 +12159 , 14839, 14814, 14813, 14838, 15108, 15085, 15083, 15107 +12160 , 12320, 14962, 15101, 12322, 12410, 13081, 13115, 12418 +12161 , 14840, 14815, 14814, 14839, 15109, 15086, 15085, 15108 +12162 , 14841, 14816, 14815, 14840, 15110, 15087, 15086, 15109 +12163 , 14842, 14817, 14816, 14841, 15111, 15088, 15087, 15110 +12164 , 14843, 14818, 14817, 14842, 15113, 15089, 15088, 15111 +12165 , 14844, 14820, 14818, 14843, 15114, 15112, 15089, 15113 +12166 , 14846, 14821, 14820, 14844, 15136, 15115, 15112, 15114 +12167 , 14821, 14819, 14796, 14820, 15115, 15091, 15090, 15112 +12168 , 8124, 7984, 8130, 8125, 14821, 14847, 15116, 15115 +12169 , 7988, 7990, 8131, 7984, 14848, 14871, 14869, 14847 +12170 , 7984, 8131, 8132, 8130, 14847, 14869, 15139, 15116 +12171 , 8126, 8133, 7992, 7987, 14826, 14850, 14873, 14849 +12172 , 8127, 8134, 8133, 8126, 14827, 14851, 14850, 14826 +12173 , 8129, 8135, 8134, 8127, 15117, 15140, 14851, 14827 +12174 , 14853, 14829, 14828, 14852, 15120, 15095, 15118, 15119 +12175 , 14828, 14802, 14801, 14827, 15118, 15093, 15092, 15117 +12176 , 14852, 14828, 14827, 14851, 15119, 15118, 15117, 15140 +12177 , 14854, 14830, 14829, 14853, 15121, 15096, 15095, 15120 +12178 , 14855, 14831, 14830, 14854, 15122, 15097, 15096, 15121 +12179 , 14856, 14832, 14831, 14855, 15123, 15098, 15097, 15122 +12180 , 14857, 14833, 14832, 14856, 15124, 15099, 15098, 15123 +12181 , 14858, 14834, 14833, 14857, 15126, 15102, 15099, 15124 +12182 , 12826, 14670, 14677, 12829, 12906, 15125, 15142, 12909 +12183 , 14859, 14835, 14834, 14858, 15127, 15103, 15102, 15126 +12184 , 14860, 14836, 14835, 14859, 15128, 15104, 15103, 15127 +12185 , 14861, 14837, 14836, 14860, 15129, 15106, 15104, 15128 +12186 , 14862, 14838, 14837, 14861, 15130, 15107, 15106, 15129 +12187 , 14863, 14839, 14838, 14862, 15131, 15108, 15107, 15130 +12188 , 14864, 14840, 14839, 14863, 15132, 15109, 15108, 15131 +12189 , 14865, 14841, 14840, 14864, 15133, 15110, 15109, 15132 +12190 , 14866, 14842, 14841, 14865, 15134, 15111, 15110, 15133 +12191 , 14867, 14843, 14842, 14866, 15135, 15113, 15111, 15134 +12192 , 14868, 14844, 14843, 14867, 15137, 15114, 15113, 15135 +12193 , 14870, 14846, 14844, 14868, 15138, 15136, 15114, 15137 +12194 , 14872, 14869, 14846, 14870, 15158, 15139, 15136, 15138 +12195 , 14869, 14847, 14821, 14846, 15139, 15116, 15115, 15136 +12196 , 7990, 7994, 7998, 8131, 14871, 14894, 14872, 14869 +12197 , 8131, 7998, 8136, 8132, 14869, 14872, 15158, 15139 +12198 , 8133, 8000, 7995, 7992, 14850, 14874, 14895, 14873 +12199 , 8134, 8002, 8000, 8133, 14851, 14875, 14874, 14850 +12200 , 8137, 8005, 8002, 8134, 14852, 14876, 14875, 14851 +12201 , 8135, 8138, 8137, 8134, 15140, 15119, 14852, 14851 +12202 , 8139, 8140, 8005, 8137, 14853, 14877, 14876, 14852 +12203 , 8138, 8141, 8139, 8137, 15119, 15120, 14853, 14852 +12204 , 8141, 8142, 8140, 8139, 15120, 15160, 14877, 14853 +12205 , 14879, 14855, 14854, 14878, 15143, 15122, 15121, 15141 +12206 , 14878, 14854, 14853, 14877, 15141, 15121, 15120, 15160 +12207 , 12829, 14677, 14687, 12832, 12909, 15142, 15159, 12912 +12208 , 14880, 14856, 14855, 14879, 15144, 15123, 15122, 15143 +12209 , 14881, 14857, 14856, 14880, 15145, 15124, 15123, 15144 +12210 , 14882, 14858, 14857, 14881, 15146, 15126, 15124, 15145 +12211 , 14883, 14859, 14858, 14882, 15147, 15127, 15126, 15146 +12212 , 14884, 14860, 14859, 14883, 15148, 15128, 15127, 15147 +12213 , 14885, 14861, 14860, 14884, 15149, 15129, 15128, 15148 +12214 , 14886, 14862, 14861, 14885, 15150, 15130, 15129, 15149 +12215 , 14887, 14863, 14862, 14886, 15151, 15131, 15130, 15150 +12216 , 14888, 14864, 14863, 14887, 15152, 15132, 15131, 15151 +12217 , 14889, 14865, 14864, 14888, 15153, 15133, 15132, 15152 +12218 , 14890, 14866, 14865, 14889, 15154, 15134, 15133, 15153 +12219 , 14891, 14867, 14866, 14890, 15155, 15135, 15134, 15154 +12220 , 14892, 14868, 14867, 14891, 15156, 15137, 15135, 15155 +12221 , 14893, 14870, 14868, 14892, 15157, 15138, 15137, 15156 +12222 , 14913, 14872, 14870, 14893, 15177, 15158, 15138, 15157 +12223 , 7998, 7999, 8143, 8136, 14872, 14913, 15177, 15158 +12224 , 12832, 14687, 14689, 12837, 12912, 15159, 15178, 12915 +12225 , 8140, 8144, 8006, 8005, 14877, 14896, 14914, 14876 +12226 , 8142, 8145, 8144, 8140, 15160, 15179, 14896, 14877 +12227 , 14898, 14879, 14878, 14897, 15162, 15143, 15141, 15161 +12228 , 14897, 14878, 14877, 14896, 15161, 15141, 15160, 15179 +12229 , 14899, 14880, 14879, 14898, 15163, 15144, 15143, 15162 +12230 , 14900, 14881, 14880, 14899, 15164, 15145, 15144, 15163 +12231 , 14901, 14882, 14881, 14900, 15165, 15146, 15145, 15164 +12232 , 14902, 14883, 14882, 14901, 15166, 15147, 15146, 15165 +12233 , 14903, 14884, 14883, 14902, 15167, 15148, 15147, 15166 +12234 , 14904, 14885, 14884, 14903, 15168, 15149, 15148, 15167 +12235 , 14905, 14886, 14885, 14904, 15169, 15150, 15149, 15168 +12236 , 14906, 14887, 14886, 14905, 15170, 15151, 15150, 15169 +12237 , 14907, 14888, 14887, 14906, 15171, 15152, 15151, 15170 +12238 , 14908, 14889, 14888, 14907, 15172, 15153, 15152, 15171 +12239 , 14909, 14890, 14889, 14908, 15173, 15154, 15153, 15172 +12240 , 14910, 14891, 14890, 14909, 15174, 15155, 15154, 15173 +12241 , 14911, 14892, 14891, 14910, 15175, 15156, 15155, 15174 +12242 , 14912, 14893, 14892, 14911, 15176, 15157, 15156, 15175 +12243 , 14932, 14913, 14893, 14912, 15195, 15177, 15157, 15176 +12244 , 7999, 8008, 8146, 8143, 14913, 14932, 15195, 15177 +12245 , 8144, 8147, 8009, 8006, 14896, 14915, 14933, 14914 +12246 , 12837, 14689, 14690, 12839, 12915, 15178, 15198, 12917 +12247 , 8145, 8148, 8147, 8144, 15179, 15197, 14915, 14896 +12248 , 14917, 14898, 14897, 14916, 15181, 15162, 15161, 15180 +12249 , 14916, 14897, 14896, 14915, 15180, 15161, 15179, 15197 +12250 , 14918, 14899, 14898, 14917, 15182, 15163, 15162, 15181 +12251 , 14919, 14900, 14899, 14918, 15183, 15164, 15163, 15182 +12252 , 14920, 14901, 14900, 14919, 15184, 15165, 15164, 15183 +12253 , 14921, 14902, 14901, 14920, 15185, 15166, 15165, 15184 +12254 , 14922, 14903, 14902, 14921, 15186, 15167, 15166, 15185 +12255 , 14923, 14904, 14903, 14922, 15187, 15168, 15167, 15186 +12256 , 14924, 14905, 14904, 14923, 15188, 15169, 15168, 15187 +12257 , 14925, 14906, 14905, 14924, 15189, 15170, 15169, 15188 +12258 , 14926, 14907, 14906, 14925, 15190, 15171, 15170, 15189 +12259 , 14927, 14908, 14907, 14926, 15191, 15172, 15171, 15190 +12260 , 14928, 14909, 14908, 14927, 15192, 15173, 15172, 15191 +12261 , 14929, 14910, 14909, 14928, 15193, 15174, 15173, 15192 +12262 , 14930, 14911, 14910, 14929, 15194, 15175, 15174, 15193 +12263 , 14931, 14912, 14911, 14930, 15196, 15176, 15175, 15194 +12264 , 14951, 14932, 14912, 14931, 15215, 15195, 15176, 15196 +12265 , 8008, 8011, 8149, 8146, 14932, 14951, 15215, 15195 +12266 , 8147, 8150, 8012, 8009, 14915, 14934, 14952, 14933 +12267 , 8148, 8151, 8150, 8147, 15197, 15216, 14934, 14915 +12268 , 12917, 15198, 14690, 12839, 12982, 15494, 15199, 12920 +12269 , 14936, 14917, 14916, 14935, 15201, 15181, 15180, 15200 +12270 , 14935, 14916, 14915, 14934, 15200, 15180, 15197, 15216 +12271 , 14937, 14918, 14917, 14936, 15202, 15182, 15181, 15201 +12272 , 14938, 14919, 14918, 14937, 15203, 15183, 15182, 15202 +12273 , 14939, 14920, 14919, 14938, 15204, 15184, 15183, 15203 +12274 , 14940, 14921, 14920, 14939, 15205, 15185, 15184, 15204 +12275 , 14941, 14922, 14921, 14940, 15206, 15186, 15185, 15205 +12276 , 14942, 14923, 14922, 14941, 15207, 15187, 15186, 15206 +12277 , 14943, 14924, 14923, 14942, 15208, 15188, 15187, 15207 +12278 , 14944, 14925, 14924, 14943, 15209, 15189, 15188, 15208 +12279 , 14945, 14926, 14925, 14944, 15210, 15190, 15189, 15209 +12280 , 14946, 14927, 14926, 14945, 15211, 15191, 15190, 15210 +12281 , 14947, 14928, 14927, 14946, 15212, 15192, 15191, 15211 +12282 , 14948, 14929, 14928, 14947, 15213, 15193, 15192, 15212 +12283 , 14949, 14930, 14929, 14948, 15214, 15194, 15193, 15213 +12284 , 14950, 14931, 14930, 14949, 15232, 15196, 15194, 15214 +12285 , 8011, 8014, 8152, 8153, 14951, 14971, 14950, 14931 +12286 , 8154, 8149, 8011, 8153, 15196, 15215, 14951, 14931 +12287 , 8153, 8152, 8155, 8154, 14931, 14950, 15232, 15196 +12288 , 8150, 8156, 8015, 8012, 14934, 14953, 14972, 14952 +12289 , 8151, 8157, 8156, 8150, 15216, 15233, 14953, 14934 +12290 , 14955, 14936, 14935, 14954, 15218, 15201, 15200, 15217 +12291 , 14954, 14935, 14934, 14953, 15217, 15200, 15216, 15233 +12292 , 7944, 8158, 7185, 7177, 15199, 15235, 12923, 12920 +12293 , 14956, 14937, 14936, 14955, 15219, 15202, 15201, 15218 +12294 , 14957, 14938, 14937, 14956, 15220, 15203, 15202, 15219 +12295 , 14958, 14939, 14938, 14957, 15221, 15204, 15203, 15220 +12296 , 14959, 14940, 14939, 14958, 15222, 15205, 15204, 15221 +12297 , 14960, 14941, 14940, 14959, 15223, 15206, 15205, 15222 +12298 , 14961, 14942, 14941, 14960, 15224, 15207, 15206, 15223 +12299 , 14963, 14943, 14942, 14961, 15225, 15208, 15207, 15224 +12300 , 14964, 14944, 14943, 14963, 15226, 15209, 15208, 15225 +12301 , 14965, 14945, 14944, 14964, 15227, 15210, 15209, 15226 +12302 , 14966, 14946, 14945, 14965, 15228, 15211, 15210, 15227 +12303 , 14967, 14947, 14946, 14966, 15229, 15212, 15211, 15228 +12304 , 14968, 14948, 14947, 14967, 15230, 15213, 15212, 15229 +12305 , 14969, 14949, 14948, 14968, 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14987, 14988, 15240, 15239 +12322 , 14655, 14656, 14960, 14959, 14978, 11668, 14988, 14987 +12323 , 14960, 14961, 15224, 15223, 14988, 11702, 15241, 15240 +12324 , 14961, 14963, 15225, 15224, 11702, 11670, 11718, 15241 +12325 , 11672, 14964, 14963, 11670, 11704, 15226, 15225, 11718 +12326 , 11674, 14965, 14964, 11672, 11706, 15227, 15226, 11704 +12327 , 11676, 14966, 14965, 11674, 11719, 15228, 15227, 11706 +12328 , 14966, 14967, 15229, 15228, 11676, 11678, 15242, 11719 +12329 , 14967, 14968, 15230, 15229, 11678, 11707, 15243, 15242 +12330 , 14979, 14969, 14968, 11707, 15245, 15231, 15230, 15243 +12331 , 14981, 14970, 14969, 14979, 15249, 15244, 15231, 15245 +12332 , 8016, 8020, 8039, 8159, 14980, 14989, 14981, 14970 +12333 , 8159, 8039, 8165, 8160, 14970, 14981, 15249, 15244 +12334 , 8166, 8040, 8023, 8022, 14975, 14991, 14990, 14974 +12335 , 8163, 8167, 8166, 8022, 15246, 15234, 14975, 14974 +12336 , 8167, 8168, 8040, 8166, 15234, 15250, 14991, 14975 +12337 , 14681, 14682, 14976, 14975, 14686, 14983, 14992, 14991 +12338 , 14682, 14683, 14985, 14976, 14983, 14984, 14993, 14992 +12339 , 14993, 14985, 14976, 14992, 15251, 15237, 15236, 15247 +12340 , 14992, 14976, 14975, 14991, 15247, 15236, 15234, 15250 +12341 , 8169, 7963, 7962, 7180, 15248, 15252, 12850, 12926 +12342 , 15248, 12926, 7180, 8169, 15499, 12991, 7192, 8170 +12343 , 8171, 8172, 8027, 8026, 15237, 15238, 14986, 14985 +12344 , 8026, 8028, 8173, 8171, 14985, 14993, 15251, 15237 +12345 , 8172, 8174, 8029, 8027, 15238, 15239, 14987, 14986 +12346 , 8174, 8175, 8030, 8029, 15239, 15240, 14988, 14987 +12347 , 8175, 8176, 8032, 8030, 15240, 15241, 11702, 14988 +12348 , 8176, 8179, 8177, 8032, 15241, 11718, 11670, 11702 +12349 , 8185, 8186, 8181, 8184, 11719, 15242, 11678, 11676 +12350 , 8186, 8188, 8036, 8181, 15242, 15243, 11707, 11678 +12351 , 8188, 8189, 8037, 8036, 15243, 15245, 14979, 11707 +12352 , 8189, 8165, 8039, 8037, 15245, 15249, 14981, 14979 +12353 , 8168, 8190, 8041, 8040, 15250, 15247, 14992, 14991 +12354 , 8190, 8173, 8028, 8041, 15247, 15251, 14993, 14992 +12355 , 15253, 15100, 12340, 12333, 15400, 15254, 12267, 12270 +12356 , 12340, 15100, 15253, 12333, 12425, 13143, 13201, 12339 +12357 , 12854, 14764, 14785, 12858, 12931, 15255, 15261, 12934 +12358 , 12850, 15252, 14764, 12854, 12998, 15500, 15255, 12931 +12359 , 8075, 8204, 8077, 8076, 14998, 15014, 15012, 14997 +12360 , 8078, 8205, 8204, 8075, 14999, 15013, 15014, 14998 +12361 , 8079, 8206, 8205, 8078, 15000, 15016, 15013, 14999 +12362 , 8079, 8080, 8207, 8208, 15000, 15002, 15257, 15256 +12363 , 8208, 8209, 8206, 8079, 15256, 15263, 15016, 15000 +12364 , 8080, 8081, 8210, 8207, 15002, 15003, 15258, 15257 +12365 , 8082, 8211, 8212, 8081, 15004, 15022, 15020, 15003 +12366 , 8081, 8212, 8213, 8210, 15003, 15020, 15266, 15258 +12367 , 8083, 8214, 8211, 8082, 15005, 15024, 15022, 15004 +12368 , 8084, 8088, 8214, 8083, 15007, 15028, 15024, 15005 +12369 , 8092, 8215, 8094, 8093, 15009, 15034, 15032, 15008 +12370 , 8095, 8216, 8215, 8092, 15010, 15033, 15034, 15009 +12371 , 8096, 8217, 8216, 8095, 15011, 15036, 15033, 15010 +12372 , 8077, 8218, 8217, 8096, 15012, 15038, 15036, 15011 +12373 , 8077, 8204, 8219, 8220, 15012, 15014, 15260, 15259 +12374 , 8220, 8221, 8218, 8077, 15259, 15269, 15038, 15012 +12375 , 8204, 8205, 8222, 8219, 15014, 15013, 15262, 15260 +12376 , 12858, 14785, 14804, 12861, 12934, 15261, 15282, 12938 +12377 , 8205, 8206, 8209, 8222, 15013, 15016, 15263, 15262 +12378 , 15021, 15018, 15016, 15019, 15264, 15265, 15263, 15273 +12379 , 15023, 15020, 15018, 15021, 15276, 15266, 15265, 15264 +12380 , 15018, 15002, 15000, 15016, 15265, 15257, 15256, 15263 +12381 , 15020, 15003, 15002, 15018, 15266, 15258, 15257, 15265 +12382 , 8212, 8211, 8223, 8213, 15020, 15022, 15267, 15266 +12383 , 8211, 8214, 8224, 8223, 15022, 15024, 15268, 15267 +12384 , 8088, 8225, 8226, 8214, 15028, 15047, 15027, 15024 +12385 , 8214, 8226, 8227, 8224, 15024, 15027, 15281, 15268 +12386 , 8097, 8228, 8225, 8088, 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15170, 15368, 15354, 15353, 15367 +12531 , 15172, 15153, 15152, 15171, 15369, 15355, 15354, 15368 +12532 , 15173, 15154, 15153, 15172, 15370, 15356, 15355, 15369 +12533 , 15174, 15155, 15154, 15173, 15371, 15357, 15356, 15370 +12534 , 15175, 15156, 15155, 15174, 15384, 15359, 15357, 15371 +12535 , 8278, 8284, 8285, 8286, 15157, 15176, 15175, 15156 +12536 , 8287, 8279, 8278, 8286, 15359, 15372, 15157, 15156 +12537 , 8286, 8285, 8288, 8287, 15156, 15175, 15384, 15359 +12538 , 8143, 8146, 8284, 8278, 15177, 15195, 15176, 15157 +12539 , 8280, 8289, 8148, 8145, 15161, 15180, 15197, 15179 +12540 , 8281, 8290, 8289, 8280, 15162, 15181, 15180, 15161 +12541 , 8282, 8291, 8290, 8281, 15163, 15182, 15181, 15162 +12542 , 8292, 8293, 8291, 8282, 15164, 15183, 15182, 15163 +12543 , 8283, 8294, 8292, 8282, 15373, 15361, 15164, 15163 +12544 , 8294, 8295, 8293, 8292, 15361, 15385, 15183, 15164 +12545 , 15185, 15166, 15165, 15184, 15375, 15363, 15362, 15374 +12546 , 15184, 15165, 15164, 15183, 15374, 15362, 15361, 15385 +12547 , 15186, 15167, 15166, 15185, 15376, 15364, 15363, 15375 +12548 , 15187, 15168, 15167, 15186, 15377, 15365, 15364, 15376 +12549 , 15188, 15169, 15168, 15187, 15378, 15366, 15365, 15377 +12550 , 15189, 15170, 15169, 15188, 15379, 15367, 15366, 15378 +12551 , 15190, 15171, 15170, 15189, 15380, 15368, 15367, 15379 +12552 , 15191, 15172, 15171, 15190, 15381, 15369, 15368, 15380 +12553 , 15192, 15173, 15172, 15191, 15382, 15370, 15369, 15381 +12554 , 15193, 15174, 15173, 15192, 15383, 15371, 15370, 15382 +12555 , 15194, 15175, 15174, 15193, 15396, 15384, 15371, 15383 +12556 , 8284, 8154, 8296, 8285, 15176, 15196, 15194, 15175 +12557 , 8285, 8296, 8297, 8288, 15175, 15194, 15396, 15384 +12558 , 8146, 8149, 8154, 8284, 15195, 15215, 15196, 15176 +12559 , 8289, 8298, 8151, 8148, 15180, 15200, 15216, 15197 +12560 , 8290, 8299, 8298, 8289, 15181, 15201, 15200, 15180 +12561 , 8291, 8300, 8299, 8290, 15182, 15202, 15201, 15181 +12562 , 8293, 8301, 8300, 8291, 15183, 15203, 15202, 15182 +12563 , 8295, 8302, 8301, 8293, 15385, 15397, 15203, 15183 +12564 , 15205, 15185, 15184, 15204, 15387, 15375, 15374, 15386 +12565 , 15204, 15184, 15183, 15203, 15386, 15374, 15385, 15397 +12566 , 15206, 15186, 15185, 15205, 15388, 15376, 15375, 15387 +12567 , 15207, 15187, 15186, 15206, 15389, 15377, 15376, 15388 +12568 , 15208, 15188, 15187, 15207, 15390, 15378, 15377, 15389 +12569 , 15209, 15189, 15188, 15208, 15391, 15379, 15378, 15390 +12570 , 15210, 15190, 15189, 15209, 15392, 15380, 15379, 15391 +12571 , 15211, 15191, 15190, 15210, 15393, 15381, 15380, 15392 +12572 , 15212, 15192, 15191, 15211, 15394, 15382, 15381, 15393 +12573 , 15213, 15193, 15192, 15212, 15395, 15383, 15382, 15394 +12574 , 15214, 15194, 15193, 15213, 15409, 15396, 15383, 15395 +12575 , 8154, 8155, 8303, 8296, 15196, 15232, 15214, 15194 +12576 , 8296, 8303, 8304, 8297, 15194, 15214, 15409, 15396 +12577 , 8298, 8162, 8157, 8151, 15200, 15217, 15233, 15216 +12578 , 8299, 8305, 8162, 8298, 15201, 15218, 15217, 15200 +12579 , 8300, 8306, 8305, 8299, 15202, 15219, 15218, 15201 +12580 , 8301, 8307, 8306, 8300, 15203, 15220, 15219, 15202 +12581 , 8302, 8308, 8307, 8301, 15397, 15411, 15220, 15203 +12582 , 15222, 15205, 15204, 15221, 15401, 15387, 15386, 15398 +12583 , 15221, 15204, 15203, 15220, 15398, 15386, 15397, 15411 +12584 , 15223, 15206, 15205, 15222, 15402, 15388, 15387, 15401 +12585 , 15399, 15253, 12333, 12334, 15482, 15400, 12270, 12273 +12586 , 12333, 15253, 15399, 12334, 12339, 13201, 13225, 12346 +12587 , 15224, 15207, 15206, 15223, 15403, 15389, 15388, 15402 +12588 , 15225, 15208, 15207, 15224, 15404, 15390, 15389, 15403 +12589 , 15226, 15209, 15208, 15225, 15405, 15391, 15390, 15404 +12590 , 15227, 15210, 15209, 15226, 15406, 15392, 15391, 15405 +12591 , 15228, 15211, 15210, 15227, 15407, 15393, 15392, 15406 +12592 , 15229, 15212, 15211, 15228, 15408, 15394, 15393, 15407 +12593 , 15230, 15213, 15212, 15229, 15410, 15395, 15394, 15408 +12594 , 15231, 15214, 15213, 15230, 15419, 15409, 15395, 15410 +12595 , 8155, 8160, 8309, 8303, 15232, 15244, 15231, 15214 +12596 , 8303, 8309, 8310, 8304, 15214, 15231, 15419, 15409 +12597 , 8305, 8167, 8163, 8162, 15218, 15234, 15246, 15217 +12598 , 8306, 8311, 8167, 8305, 15219, 15236, 15234, 15218 +12599 , 8307, 8171, 8311, 8306, 15220, 15237, 15236, 15219 +12600 , 8312, 8172, 8171, 8307, 15221, 15238, 15237, 15220 +12601 , 8308, 8313, 8312, 8307, 15411, 15398, 15221, 15220 +12602 , 8314, 8174, 8172, 8312, 15222, 15239, 15238, 15221 +12603 , 8313, 8315, 8314, 8312, 15398, 15401, 15222, 15221 +12604 , 8315, 8316, 8174, 8314, 15401, 15420, 15239, 15222 +12605 , 15241, 15224, 15223, 15240, 15413, 15403, 15402, 15412 +12606 , 15240, 15223, 15222, 15239, 15412, 15402, 15401, 15420 +12607 , 11718, 15225, 15224, 15241, 15414, 15404, 15403, 15413 +12608 , 11704, 15226, 15225, 11718, 15415, 15405, 15404, 15414 +12609 , 11706, 15227, 15226, 11704, 15416, 15406, 15405, 15415 +12610 , 11719, 15228, 15227, 11706, 15417, 15407, 15406, 15416 +12611 , 15242, 15229, 15228, 11719, 15418, 15408, 15407, 15417 +12612 , 15243, 15230, 15229, 15242, 15421, 15410, 15408, 15418 +12613 , 8309, 8189, 8188, 8317, 15231, 15245, 15243, 15230 +12614 , 8318, 8310, 8309, 8317, 15410, 15419, 15231, 15230 +12615 , 8317, 8188, 8319, 8318, 15230, 15243, 15421, 15410 +12616 , 8160, 8165, 8189, 8309, 15244, 15249, 15245, 15231 +12617 , 8311, 8190, 8168, 8167, 15236, 15247, 15250, 15234 +12618 , 8171, 8173, 8190, 8311, 15237, 15251, 15247, 15236 +12619 , 8316, 8320, 8175, 8174, 15420, 15412, 15240, 15239 +12620 , 8320, 8321, 8176, 8175, 15412, 15413, 15241, 15240 +12621 , 8321, 8322, 8179, 8176, 15413, 15414, 11718, 15241 +12622 , 8322, 8325, 8323, 8179, 15414, 15415, 11704, 11718 +12623 , 8325, 8328, 8326, 8323, 15415, 15416, 11706, 11704 +12624 , 8328, 8329, 8185, 8326, 15416, 15417, 11719, 11706 +12625 , 8329, 8330, 8186, 8185, 15417, 15418, 15242, 11719 +12626 , 8330, 8319, 8188, 8186, 15418, 15421, 15243, 15242 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15281, 15290, 15280, 15278 +12644 , 8234, 8237, 8346, 8227, 15283, 15293, 15290, 15281 +12645 , 8340, 8347, 8243, 8233, 15272, 15285, 15297, 15284 +12646 , 8341, 8348, 8347, 8340, 15274, 15286, 15285, 15272 +12647 , 14994, 14995, 12881, 12878, 10936, 10938, 10773, 10694 +12648 , 8342, 8349, 8348, 8341, 15275, 15287, 15286, 15274 +12649 , 8343, 8350, 8349, 8342, 15277, 15288, 15287, 15275 +12650 , 8344, 8351, 8350, 8343, 15279, 15289, 15288, 15277 +12651 , 8344, 8345, 8352, 8353, 15279, 15280, 15423, 15422 +12652 , 8353, 8354, 8351, 8344, 15422, 15428, 15289, 15279 +12653 , 8345, 8346, 8355, 8352, 15280, 15290, 15424, 15423 +12654 , 8346, 8237, 8356, 8355, 15290, 15293, 15425, 15424 +12655 , 8244, 8357, 8358, 8237, 15294, 15306, 15304, 15293 +12656 , 8237, 8358, 8359, 8356, 15293, 15304, 15433, 15425 +12657 , 8245, 8247, 8357, 8244, 15295, 15309, 15306, 15294 +12658 , 8347, 8360, 8253, 8243, 15285, 15298, 15314, 15297 +12659 , 8348, 8361, 8360, 8347, 15286, 15299, 15298, 15285 +12660 , 8349, 8362, 8361, 8348, 15287, 15300, 15299, 15286 +12661 , 8349, 8350, 8363, 8364, 15287, 15288, 15427, 15426 +12662 , 8364, 8365, 8362, 8349, 15426, 15435, 15300, 15287 +12663 , 8350, 8351, 8354, 8363, 15288, 15289, 15428, 15427 +12664 , 15305, 15292, 15291, 15303, 15432, 15429, 15430, 15431 +12665 , 15292, 15290, 15280, 15291, 15429, 15424, 15423, 15430 +12666 , 15303, 15291, 15289, 15302, 15431, 15430, 15428, 15436 +12667 , 15291, 15280, 15279, 15289, 15430, 15423, 15422, 15428 +12668 , 15307, 15304, 15292, 15305, 15441, 15433, 15429, 15432 +12669 , 15304, 15293, 15290, 15292, 15433, 15425, 15424, 15429 +12670 , 8358, 8357, 8366, 8359, 15304, 15306, 15434, 15433 +12671 , 8247, 8367, 8368, 8357, 15309, 15323, 15308, 15306 +12672 , 8357, 8368, 8369, 8366, 15306, 15308, 15444, 15434 +12673 , 8254, 8256, 8367, 8247, 15310, 15326, 15323, 15309 +12674 , 14995, 15001, 12884, 12881, 10938, 10962, 10963, 10773 +12675 , 8261, 8370, 8263, 8262, 15313, 15330, 15328, 15312 +12676 , 8253, 8371, 8370, 8261, 15314, 15329, 15330, 15313 +12677 , 8360, 8372, 8371, 8253, 15298, 15315, 15329, 15314 +12678 , 8361, 8373, 8372, 8360, 15299, 15316, 15315, 15298 +12679 , 8362, 8374, 8373, 8361, 15300, 15317, 15316, 15299 +12680 , 8365, 8375, 8374, 8362, 15435, 15445, 15317, 15300 +12681 , 15302, 15289, 15288, 15301, 15436, 15428, 15427, 15437 +12682 , 15319, 15302, 15301, 15318, 15439, 15436, 15437, 15438 +12683 , 15301, 15288, 15287, 15300, 15437, 15427, 15426, 15435 +12684 , 15318, 15301, 15300, 15317, 15438, 15437, 15435, 15445 +12685 , 15320, 15303, 15302, 15319, 15440, 15431, 15436, 15439 +12686 , 15321, 15305, 15303, 15320, 15442, 15432, 15431, 15440 +12687 , 15322, 15307, 15305, 15321, 15443, 15441, 15432, 15442 +12688 , 15324, 15308, 15307, 15322, 15448, 15444, 15441, 15443 +12689 , 15308, 15306, 15304, 15307, 15444, 15434, 15433, 15441 +12690 , 8367, 8376, 8377, 8368, 15323, 15325, 15324, 15308 +12691 , 8368, 8377, 8378, 8369, 15308, 15324, 15448, 15444 +12692 , 8256, 8379, 8376, 8367, 15326, 15342, 15325, 15323 +12693 , 8264, 8266, 8379, 8256, 15327, 15345, 15342, 15326 +12694 , 8370, 8276, 8269, 8263, 15330, 15331, 15346, 15328 +12695 , 8371, 8380, 8276, 8370, 15329, 15332, 15331, 15330 +12696 , 8372, 8381, 8380, 8371, 15315, 15333, 15332, 15329 +12697 , 8373, 8382, 8381, 8372, 15316, 15334, 15333, 15315 +12698 , 15001, 15026, 12887, 12884, 10962, 15452, 12953, 10963 +12699 , 8374, 8383, 8382, 8373, 15317, 15335, 15334, 15316 +12700 , 8384, 8385, 8383, 8374, 15318, 15336, 15335, 15317 +12701 , 8375, 8386, 8384, 8374, 15445, 15438, 15318, 15317 +12702 , 8387, 8388, 8385, 8384, 15319, 15337, 15336, 15318 +12703 , 8386, 8389, 8387, 8384, 15438, 15439, 15319, 15318 +12704 , 8389, 8390, 8388, 8387, 15439, 15450, 15337, 15319 +12705 , 15339, 15321, 15320, 15338, 15447, 15442, 15440, 15446 +12706 , 15338, 15320, 15319, 15337, 15446, 15440, 15439, 15450 +12707 , 15340, 15322, 15321, 15339, 15449, 15443, 15442, 15447 +12708 , 15341, 15324, 15322, 15340, 15454, 15448, 15443, 15449 +12709 , 8376, 8391, 8392, 8377, 15325, 15343, 15341, 15324 +12710 , 8377, 8392, 8393, 8378, 15324, 15341, 15454, 15448 +12711 , 8379, 8394, 8391, 8376, 15342, 15344, 15343, 15325 +12712 , 8266, 8271, 8394, 8379, 15345, 15358, 15344, 15342 +12713 , 8380, 8395, 8277, 8276, 15332, 15347, 15360, 15331 +12714 , 8381, 8396, 8395, 8380, 15333, 15348, 15347, 15332 +12715 , 8382, 8397, 8396, 8381, 15334, 15349, 15348, 15333 +12716 , 8383, 8398, 8397, 8382, 15335, 15350, 15349, 15334 +12717 , 8385, 8399, 8398, 8383, 15336, 15351, 15350, 15335 +12718 , 8388, 8400, 8399, 8385, 15337, 15352, 15351, 15336 +12719 , 8390, 8401, 8400, 8388, 15450, 15457, 15352, 15337 +12720 , 15354, 15339, 15338, 15353, 15453, 15447, 15446, 15451 +12721 , 15353, 15338, 15337, 15352, 15451, 15446, 15450, 15457 +12722 , 15026, 15049, 12890, 12887, 15452, 15462, 12956, 12953 +12723 , 15355, 15340, 15339, 15354, 15460, 15449, 15447, 15453 +12724 , 8392, 8402, 8403, 8404, 15341, 15356, 15355, 15340 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8436, 15395, 15410, 15408, 15394 +12791 , 8304, 8310, 8318, 8437, 15409, 15419, 15410, 15395 +12792 , 8438, 8320, 8316, 8315, 15402, 15412, 15420, 15401 +12793 , 8440, 8321, 8320, 8438, 15403, 15413, 15412, 15402 +12794 , 15084, 15105, 12903, 12896, 15481, 15484, 12965, 12962 +12795 , 8443, 8322, 8321, 8440, 15404, 15414, 15413, 15403 +12796 , 12334, 15399, 15482, 12273, 12343, 15483, 12261, 12262 +12797 , 12334, 15399, 15483, 12343, 12346, 13225, 13251, 12352 +12798 , 8446, 8325, 8322, 8443, 15405, 15415, 15414, 15404 +12799 , 8448, 8328, 8325, 8446, 15406, 15416, 15415, 15405 +12800 , 8449, 8329, 8328, 8448, 15407, 15417, 15416, 15406 +12801 , 8450, 8330, 8329, 8449, 15408, 15418, 15417, 15407 +12802 , 8318, 8319, 8330, 8450, 15410, 15421, 15418, 15408 +12803 , 12267, 15254, 7607, 7038, 12270, 15400, 8473, 7049 +12804 , 8352, 8451, 8354, 8353, 15423, 15430, 15428, 15422 +12805 , 8355, 8452, 8451, 8352, 15424, 15429, 15430, 15423 +12806 , 8356, 8359, 8452, 8355, 15425, 15433, 15429, 15424 +12807 , 15105, 15125, 12906, 12903, 15484, 15485, 12968, 12965 +12808 , 8363, 8453, 8365, 8364, 15427, 15437, 15435, 15426 +12809 , 8354, 8454, 8453, 8363, 15428, 15436, 15437, 15427 +12810 , 8451, 8455, 8454, 8354, 15430, 15431, 15436, 15428 +12811 , 8452, 8456, 8455, 8451, 15429, 15432, 15431, 15430 +12812 , 8359, 8457, 8456, 8452, 15433, 15441, 15432, 15429 +12813 , 8366, 8369, 8457, 8359, 15434, 15444, 15441, 15433 +12814 , 8453, 8386, 8375, 8365, 15437, 15438, 15445, 15435 +12815 , 8454, 8389, 8386, 8453, 15436, 15439, 15438, 15437 +12816 , 8455, 8458, 8389, 8454, 15431, 15440, 15439, 15436 +12817 , 8456, 8459, 8458, 8455, 15432, 15442, 15440, 15431 +12818 , 8457, 8460, 8459, 8456, 15441, 15443, 15442, 15432 +12819 , 8369, 8378, 8460, 8457, 15444, 15448, 15443, 15441 +12820 , 8458, 8461, 8390, 8389, 15440, 15446, 15450, 15439 +12821 , 8459, 8462, 8461, 8458, 15442, 15447, 15446, 15440 +12822 , 8460, 8405, 8462, 8459, 15443, 15449, 15447, 15442 +12823 , 15125, 15142, 12909, 12906, 15485, 15486, 12971, 12968 +12824 , 8378, 8393, 8405, 8460, 15448, 15454, 15449, 15443 +12825 , 8461, 8463, 8401, 8390, 15446, 15451, 15457, 15450 +12826 , 8462, 8464, 8463, 8461, 15447, 15453, 15451, 15446 +12827 , 8405, 8406, 8464, 8462, 15449, 15460, 15453, 15447 +12828 , 8411, 8465, 8413, 8412, 15456, 15465, 15463, 15455 +12829 , 8401, 8466, 8465, 8411, 15457, 15464, 15465, 15456 +12830 , 8463, 8467, 8466, 8401, 15451, 15458, 15464, 15457 +12831 , 8464, 8468, 8467, 8463, 15453, 15459, 15458, 15451 +12832 , 8406, 8469, 8468, 8464, 15460, 15469, 15459, 15453 +12833 , 8414, 8417, 8469, 8406, 15461, 15471, 15469, 15460 +12834 , 8465, 8470, 8421, 8413, 15465, 15466, 15473, 15463 +12835 , 8466, 8471, 8470, 8465, 15464, 15467, 15466, 15465 +12836 , 8467, 8472, 8471, 8466, 15458, 15468, 15467, 15464 +12837 , 8468, 8433, 8472, 8467, 15459, 15470, 15468, 15458 +12838 , 8469, 8434, 8433, 8468, 15469, 15472, 15470, 15459 +12839 , 8417, 8424, 8434, 8469, 15471, 15478, 15472, 15469 +12840 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7198 +12872 , 12926, 15248, 15252, 12850, 12991, 15499, 15500, 12998 +12873 , 12998, 12850, 12926, 12991, 12927, 12847, 12843, 12924 +12874 , 13054, 12991, 15499, 15502, 7202, 7192, 8170, 8475 +12875 , 15499, 12991, 13054, 15502, 15500, 12998, 13058, 15505 +12876 , 13050, 15501, 15503, 13116, 13044, 15498, 15507, 13049 +12877 , 15503, 15501, 13050, 13116, 8476, 8474, 7198, 7205 +12878 , 13119, 13054, 15502, 15504, 7208, 7202, 8475, 8477 +12879 , 15502, 13054, 13119, 15504, 15505, 13058, 13060, 15509 +12880 , 13116, 15503, 15506, 13175, 13049, 15507, 15511, 13111 +12881 , 15506, 15503, 13116, 13175, 8478, 8476, 7205, 7211 +12882 , 15504, 13119, 13176, 15508, 15509, 13060, 13179, 15512 +12883 , 13176, 13119, 15504, 15508, 7216, 7208, 8477, 8479 +12884 , 13179, 13060, 13119, 13176, 13120, 13056, 13052, 13117 +12885 , 13175, 15506, 15510, 13233, 13111, 15511, 15517, 13173 +12886 , 15510, 15506, 13175, 13233, 8487, 8478, 7211, 7220 +12887 , 13179, 13176, 15508, 15512, 7221, 7216, 8479, 8488 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+12904 , 15520, 13189, 13270, 15522, 15524, 13192, 13272, 15530 +12905 , 13270, 13189, 15520, 15522, 7255, 7250, 8498, 8499 +12906 , 13189, 15520, 15523, 13130, 13192, 15524, 15571, 13133 +12907 , 13272, 13192, 13189, 13270, 13237, 13187, 13184, 13236 +12908 , 13246, 15515, 15525, 13274, 13204, 15526, 15534, 13247 +12909 , 15525, 15515, 13246, 13274, 8500, 8491, 7231, 7261 +12910 , 15516, 15527, 13289, 13269, 15528, 15536, 13266, 13231 +12911 , 13289, 15527, 15516, 13269, 7272, 8503, 8495, 7241 +12912 , 15255, 15261, 12934, 12931, 15529, 15539, 13001, 12997 +12913 , 13272, 13270, 15522, 15530, 7273, 7255, 8499, 8504 +12914 , 15530, 13272, 13240, 15531, 15524, 13192, 13195, 15533 +12915 , 13240, 13272, 15530, 15531, 7276, 7273, 8504, 8505 +12916 , 15531, 13240, 13244, 15532, 15533, 13195, 13198, 15535 +12917 , 13244, 13240, 15531, 15532, 7279, 7276, 8505, 8506 +12918 , 15532, 13244, 13247, 15534, 15535, 13198, 13204, 15526 +12919 , 13247, 13244, 15532, 15534, 7282, 7279, 8506, 8507 +12920 , 13274, 13247, 15534, 15525, 7261, 7282, 8507, 8500 +12921 , 13266, 15536, 15527, 13289, 8511, 8512, 8503, 7272 +12922 , 15536, 15537, 13290, 13266, 15538, 15541, 13288, 13264 +12923 , 13290, 15537, 15536, 13266, 7305, 8513, 8512, 8511 +12924 , 15528, 15536, 13266, 13231, 15586, 15538, 13264, 13228 +12925 , 13266, 13289, 13305, 13290, 8511, 7272, 7295, 7305 +12926 , 15261, 15282, 12938, 12934, 15539, 15546, 13004, 13001 +12927 , 15537, 15540, 13312, 13290, 15541, 15543, 13303, 13288 +12928 , 13312, 15540, 15537, 13290, 7308, 8516, 8513, 7305 +12929 , 15540, 15542, 13318, 13312, 15543, 15544, 13313, 13303 +12930 , 13318, 15542, 15540, 13312, 7316, 8518, 8516, 7308 +12931 , 13313, 15544, 15542, 13318, 7324, 8520, 8518, 7316 +12932 , 15544, 15545, 13321, 13313, 11777, 11720, 11722, 11394 +12933 , 13321, 15545, 15544, 13313, 7327, 8521, 8520, 7324 +12934 , 15543, 15544, 13313, 13303, 11772, 11777, 11394, 11773 +12935 , 15282, 15296, 12941, 12938, 15546, 15547, 13007, 13004 +12936 , 11722, 11720, 15545, 13321, 7336, 8523, 8521, 7327 +12937 , 15296, 15311, 12944, 12941, 15547, 15548, 13010, 13007 +12938 , 15311, 10930, 10912, 12944, 15548, 10940, 10941, 13010 +12939 , 12349, 15488, 15489, 12356, 12358, 13277, 13296, 12364 +12940 , 10962, 15452, 12953, 10963, 10945, 10960, 10948, 10891 +12941 , 15452, 15462, 12956, 12953, 10960, 15549, 13017, 10948 +12942 , 15462, 15477, 12959, 12956, 15549, 15550, 13023, 13017 +12943 , 15477, 15481, 12962, 12959, 15550, 15551, 13026, 13023 +12944 , 12356, 15489, 15490, 12362, 12364, 13296, 13308, 12368 +12945 , 15481, 15484, 12965, 12962, 15551, 15552, 13029, 13026 +12946 , 15484, 15485, 12968, 12965, 15552, 15553, 13032, 13029 +12947 , 15485, 15486, 12971, 12968, 15553, 15554, 13035, 13032 +12948 , 15486, 15487, 12974, 12971, 15554, 15555, 13038, 13035 +12949 , 15487, 15492, 12977, 12974, 15555, 15556, 13041, 13038 +12950 , 15492, 15495, 12980, 12977, 15556, 15557, 13046, 13041 +12951 , 15495, 15498, 13044, 12980, 15557, 15507, 13049, 13046 +12952 , 12362, 15490, 15491, 12276, 12368, 13308, 12248, 12249 +12953 , 15505, 15529, 12997, 13058, 15509, 15558, 13063, 13060 +12954 , 15529, 15539, 13001, 12997, 15558, 15559, 13066, 13063 +12955 , 15539, 15546, 13004, 13001, 15559, 15560, 13069, 13066 +12956 , 15546, 15547, 13007, 13004, 15560, 15561, 13072, 13069 +12957 , 15547, 15548, 13010, 13007, 15561, 15562, 13075, 13072 +12958 , 15548, 10940, 10941, 13010, 15562, 10949, 10950, 13075 +12959 , 14350, 14349, 14679, 14680, 14681, 14671, 14685, 14686 +12960 , 14686, 14681, 14671, 14685, 14991, 14975, 14974, 14990 +12961 , 10960, 15549, 13017, 10948, 10953, 10959, 10956, 10894 +12962 , 15549, 15550, 13023, 13017, 10959, 15563, 13087, 10956 +12963 , 15550, 15551, 13026, 13023, 15563, 15564, 13090, 13087 +12964 , 15551, 15552, 13029, 13026, 15564, 15565, 13093, 13090 +12965 , 15552, 15553, 13032, 13029, 15565, 15566, 13096, 13093 +12966 , 15553, 15554, 13035, 13032, 15566, 15567, 13099, 13096 +12967 , 15554, 15555, 13038, 13035, 15567, 15568, 13102, 13099 +12968 , 15555, 15556, 13041, 13038, 15568, 15569, 13105, 13102 +12969 , 15556, 15557, 13046, 13041, 15569, 15570, 13108, 13105 +12970 , 15557, 15507, 13049, 13046, 15570, 15511, 13111, 13108 +12971 , 15558, 15559, 13066, 13063, 15514, 15521, 13127, 13124 +12972 , 15559, 15560, 13069, 13066, 15521, 15523, 13130, 13127 +12973 , 15560, 15561, 13072, 13069, 15523, 15571, 13133, 13130 +12974 , 15561, 15562, 13075, 13072, 15571, 15572, 13136, 13133 +12975 , 15562, 10949, 10950, 13075, 15572, 15573, 13139, 13136 +12976 , 13139, 15573, 10949, 10950, 10952, 10951, 10942, 10943 +12977 , 10959, 15563, 13087, 10956, 10958, 15574, 13149, 10957 +12978 , 15563, 15564, 13090, 13087, 15574, 15575, 13152, 13149 +12979 , 15564, 15565, 13093, 13090, 15575, 15576, 13155, 13152 +12980 , 15565, 15566, 13096, 13093, 15576, 15577, 13158, 13155 +12981 , 15566, 15567, 13099, 13096, 15577, 15578, 13161, 13158 +12982 , 15567, 15568, 13102, 13099, 15578, 15579, 13164, 13161 +12983 , 15568, 15569, 13105, 13102, 15579, 15580, 13167, 13164 +12984 , 15569, 15570, 13108, 13105, 15580, 15581, 13170, 13167 +12985 , 15570, 15511, 13111, 13108, 15581, 15517, 13173, 13170 +12986 , 15571, 15572, 13136, 13133, 15524, 15533, 13195, 13192 +12987 , 15572, 15573, 13139, 13136, 15533, 15535, 13198, 13195 +12988 , 15573, 10951, 10952, 13139, 15535, 15526, 13204, 13198 +12989 , 10958, 15574, 13149, 10957, 11782, 11740, 11280, 11279 +12990 , 15574, 15575, 13152, 13149, 11740, 11742, 11287, 11280 +12991 , 15575, 15576, 13155, 13152, 11742, 11781, 11744, 11287 +12992 , 15576, 15577, 13158, 13155, 11781, 15582, 13213, 11744 +12993 , 15577, 15578, 13161, 13158, 15582, 15583, 13216, 13213 +12994 , 15578, 15579, 13164, 13161, 15583, 15584, 13219, 13216 +12995 , 15579, 15580, 13167, 13164, 15584, 15585, 13222, 13219 +12996 , 15580, 15581, 13170, 13167, 15585, 15586, 13228, 13222 +12997 , 15581, 15517, 13173, 13170, 15586, 15528, 13231, 13228 +12998 , 11781, 15582, 13213, 11744, 11748, 11751, 11315, 11306 +12999 , 15582, 15583, 13216, 13213, 11751, 11780, 11753, 11315 +13000 , 15583, 15584, 13219, 13216, 11780, 15587, 13258, 11753 +13001 , 15584, 15585, 13222, 13219, 15587, 15588, 13261, 13258 +13002 , 15585, 15586, 13228, 13222, 15588, 15538, 13264, 13261 +13003 , 11780, 15587, 13258, 11753, 11759, 11763, 11762, 11338 +13004 , 15587, 15588, 13261, 13258, 11763, 15589, 13284, 11762 +13005 , 15588, 15538, 13264, 13261, 15589, 15541, 13288, 13284 +13006 , 11763, 15589, 13284, 11762, 11764, 11772, 11773, 11365 +13007 , 15589, 15541, 13288, 13284, 11772, 15543, 13303, 11773 +13008 , 11456, 11523, 10504, 10514, 11028, 11035, 10502, 10501 +13009 , 10685, 10087, 13076, 13011, 10702, 10771, 10943, 10932 +13010 , 12945, 10683, 10685, 13011, 10911, 10772, 10702, 10932 +13011 , 11018, 10599, 10488, 11007, 10621, 10602, 10491, 10497 +13012 , 10599, 10600, 11291, 11018, 11009, 11160, 11141, 11017 +13013 , 11160, 11279, 11282, 10600, 11141, 11283, 11284, 11291 +13014 , 11021, 11018, 11007, 11014, 11318, 10621, 10497, 10501 +13015 , 10954, 10955, 10896, 10895, 11134, 15590, 11160, 11009 +13016 , 10955, 10958, 10957, 10896, 15590, 11782, 11279, 11160 +13017 , 11134, 15590, 11160, 11009, 11138, 11143, 11141, 11017 +13018 , 15590, 11782, 11279, 11160, 11143, 11745, 11283, 11141 +13019 , 7013, 8613, 8614, 7014, 12239, 15591, 15607, 13970 +13020 , 8613, 7013, 7018, 8615, 15591, 12239, 14962, 15663 +13021 , 12240, 15592, 15593, 12241, 12244, 15594, 15599, 12294 +13022 , 15593, 15592, 12240, 12241, 15600, 15595, 12246, 12295 +13023 , 12240, 15592, 15594, 12244, 12248, 15596, 15609, 13306 +13024 , 12246, 15595, 15592, 12240, 15491, 15622, 15596, 12248 +13025 , 15598, 15597, 15592, 15593, 15667, 15601, 15595, 15600 +13026 , 15592, 15597, 15598, 15593, 15594, 15603, 15671, 15599 +13027 , 15595, 15601, 15597, 15592, 15622, 15708, 15602, 15596 +13028 , 15596, 15602, 15597, 15592, 15609, 15786, 15603, 15594 +13029 , 8626, 8627, 8628, 8629, 15605, 15604, 15606, 15611 +13030 , 8614, 8627, 8626, 8630, 15607, 15604, 15605, 15613 +13031 , 8627, 8614, 8631, 8628, 15604, 15607, 15665, 15606 +13032 , 7040, 8632, 8633, 7041, 12261, 15608, 15624, 12935 +13033 , 7040, 8632, 15608, 12261, 7044, 8634, 15619, 15482 +13034 , 8626, 8635, 8636, 8637, 15605, 15612, 15615, 15610 +13035 , 8626, 15605, 15610, 8637, 8630, 15613, 15616, 8638 +13036 , 8635, 8626, 8629, 8639, 15612, 15605, 15611, 15666 +13037 , 8637, 8636, 8640, 8641, 15610, 15615, 15618, 15614 +13038 , 8637, 15610, 15614, 8641, 8638, 15616, 15619, 8634 +13039 , 8634, 8641, 8642, 8632, 15619, 15614, 15617, 15608 +13040 , 8641, 8640, 8643, 8642, 15614, 15618, 15621, 15617 +13041 , 8632, 8642, 8644, 8633, 15608, 15617, 15620, 15624 +13042 , 8642, 8643, 8645, 8644, 15617, 15621, 15625, 15620 +13043 , 8633, 8644, 8646, 8647, 15624, 15620, 15623, 15628 +13044 , 8644, 8645, 8648, 8646, 15620, 15625, 15627, 15623 +13045 , 8647, 8646, 8649, 8650, 15628, 15623, 15626, 15631 +13046 , 8646, 8648, 8651, 8649, 15623, 15627, 15630, 15626 +13047 , 8649, 8651, 8652, 8653, 15626, 15630, 15633, 15629 +13048 , 8650, 8649, 8653, 8654, 15631, 15626, 15629, 15634 +13049 , 8653, 8652, 8655, 8656, 15629, 15633, 15636, 15632 +13050 , 8654, 8653, 8656, 8657, 15634, 15629, 15632, 15637 +13051 , 8656, 8655, 8658, 8659, 15632, 15636, 15640, 15635 +13052 , 8657, 8656, 8659, 8660, 15637, 15632, 15635, 15641 +13053 , 12241, 15593, 15638, 12292, 12294, 15599, 15669, 12382 +13054 , 15638, 15593, 12241, 12292, 15670, 15600, 12295, 12383 +13055 , 8659, 8658, 8661, 8662, 15635, 15640, 15643, 15639 +13056 , 8660, 8659, 8662, 8663, 15641, 15635, 15639, 15644 +13057 , 8662, 8661, 8664, 8665, 15639, 15643, 15647, 15642 +13058 , 8663, 8662, 8665, 8666, 15644, 15639, 15642, 15648 +13059 , 8667, 8665, 8668, 8669, 15645, 15642, 15646, 15649 +13060 , 8666, 8665, 8667, 8670, 15648, 15642, 15645, 15650 +13061 , 8665, 8664, 8671, 8668, 15642, 15647, 15721, 15646 +13062 , 8670, 8667, 8669, 8672, 15650, 15645, 15649, 15726 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15672, 15610, 15614, 15679, 15678, 15615, 15618 +13080 , 15673, 15680, 15611, 15672, 15681, 15764, 15666, 15678 +13081 , 15611, 15680, 15673, 15672, 15683, 15765, 15682, 15676 +13082 , 15672, 15611, 15683, 15676, 15610, 15605, 15613, 15616 +13083 , 15672, 15611, 15605, 15610, 15678, 15666, 15612, 15615 +13084 , 15684, 15674, 15675, 15685, 15694, 15688, 15679, 15687 +13085 , 15675, 15674, 15684, 15685, 15677, 15689, 15695, 15686 +13086 , 15685, 15675, 15677, 15686, 15617, 15614, 15619, 15608 +13087 , 15685, 15675, 15614, 15617, 15687, 15679, 15618, 15621 +13088 , 15690, 15684, 15685, 15691, 15700, 15694, 15687, 15693 +13089 , 15685, 15684, 15690, 15691, 15686, 15695, 15701, 15692 +13090 , 15691, 15685, 15686, 15692, 15620, 15617, 15608, 15624 +13091 , 15691, 15685, 15617, 15620, 15693, 15687, 15621, 15625 +13092 , 15696, 15690, 15691, 15697, 15706, 15700, 15693, 15698 +13093 , 15691, 15690, 15696, 15697, 15692, 15701, 15707, 15699 +13094 , 15620, 15691, 15697, 15623, 15624, 15692, 15699, 15628 +13095 , 15697, 15691, 15620, 15623, 15698, 15693, 15625, 15627 +13096 , 15702, 15696, 15697, 15703, 15710, 15706, 15698, 15704 +13097 , 15697, 15696, 15702, 15703, 15699, 15707, 15711, 15705 +13098 , 15623, 15697, 15703, 15626, 15628, 15699, 15705, 15631 +13099 , 15703, 15697, 15623, 15626, 15704, 15698, 15627, 15630 +13100 , 15602, 15702, 15703, 15708, 15713, 15710, 15704, 15709 +13101 , 15703, 15702, 15602, 15708, 15705, 15711, 15596, 15622 +13102 , 15626, 15703, 15708, 15629, 15631, 15705, 15622, 15634 +13103 , 15708, 15703, 15626, 15629, 15709, 15704, 15630, 15633 +13104 , 15597, 15602, 15708, 15601, 15715, 15713, 15709, 15712 +13105 , 15629, 15708, 15601, 15632, 15634, 15622, 15595, 15637 +13106 , 15601, 15708, 15629, 15632, 15712, 15709, 15633, 15636 +13107 , 15598, 15597, 15601, 15667, 15718, 15715, 15712, 15714 +13108 , 15714, 15712, 15601, 15667, 15640, 15636, 15632, 15635 +13109 , 15632, 15601, 15667, 15635, 15637, 15595, 15600, 15641 +13110 , 15668, 15598, 15667, 15716, 15720, 15718, 15714, 15717 +13111 , 15717, 15714, 15667, 15716, 15643, 15640, 15635, 15639 +13112 , 15635, 15667, 15716, 15639, 15641, 15600, 15670, 15644 +13113 , 15668, 15716, 15670, 15638, 15719, 15646, 15722, 15723 +13114 , 15719, 15668, 15716, 15646, 15794, 15720, 15717, 15721 +13115 , 15716, 15639, 15644, 15670, 15646, 15642, 15648, 15722 +13116 , 15646, 15716, 15639, 15642, 15721, 15717, 15643, 15647 +13117 , 12292, 15638, 15723, 12380, 12382, 15669, 15762, 12453 +13118 , 15723, 15638, 12292, 12380, 15722, 15670, 12383, 12454 +13119 , 8668, 8671, 8688, 8669, 15646, 15721, 15725, 15649 +13120 , 8669, 8688, 8689, 8690, 15649, 15725, 15729, 15724 +13121 , 8669, 15649, 15724, 8690, 8672, 15726, 15730, 8691 +13122 , 8692, 8690, 8693, 8694, 15727, 15724, 15728, 15731 +13123 , 8692, 8690, 15724, 15727, 8695, 8691, 15730, 15732 +13124 , 8690, 8689, 8696, 8693, 15724, 15729, 15804, 15728 +13125 , 8695, 8692, 8694, 8697, 15732, 15727, 15731, 15806 +13126 , 8698, 8699, 8700, 8701, 15733, 15736, 15738, 15734 +13127 , 8698, 15733, 15734, 8701, 8702, 15737, 15739, 8703 +13128 , 8698, 8702, 8704, 8705, 15733, 15737, 15815, 15735 +13129 , 8699, 8698, 8705, 8706, 15736, 15733, 15735, 15816 +13130 , 8701, 8700, 8707, 8675, 15734, 15738, 15740, 15653 +13131 , 8701, 15734, 15653, 8675, 8703, 15739, 15741, 8679 +13132 , 8675, 8707, 8684, 8676, 15653, 15740, 15742, 15656 +13133 , 15743, 15744, 15745, 15746, 15749, 15752, 15759, 15750 +13134 , 15745, 15744, 15743, 15746, 15760, 15753, 15747, 15748 +13135 , 15748, 15747, 15743, 15746, 15662, 15660, 15655, 15659 +13136 , 15655, 15743, 15746, 15659, 15661, 15749, 15750, 15663 +13137 , 15656, 15751, 15744, 15743, 15754, 15829, 15752, 15749 +13138 , 15744, 15751, 15656, 15743, 15753, 15830, 15742, 15747 +13139 , 15655, 15660, 15747, 15743, 15652, 15657, 15742, 15656 +13140 , 15661, 15655, 15743, 15749, 15658, 15652, 15656, 15754 +13141 , 15746, 15745, 15755, 15756, 15750, 15759, 15766, 15758 +13142 , 15755, 15745, 15746, 15756, 15767, 15760, 15748, 15757 +13143 , 15757, 15748, 15746, 15756, 15664, 15662, 15659, 15606 +13144 , 15659, 15746, 15756, 15606, 15663, 15750, 15758, 15665 +13145 , 15638, 15668, 15719, 15723, 15669, 15761, 15793, 15762 +13146 , 15756, 15755, 15763, 15680, 15758, 15766, 15769, 15765 +13147 , 15763, 15755, 15756, 15680, 15770, 15767, 15757, 15764 +13148 , 15764, 15757, 15756, 15680, 15666, 15664, 15606, 15611 +13149 , 15606, 15756, 15680, 15611, 15665, 15758, 15765, 15683 +13150 , 15680, 15763, 15768, 15673, 15765, 15769, 15772, 15682 +13151 , 15768, 15763, 15680, 15673, 15773, 15770, 15764, 15681 +13152 , 15673, 15768, 15771, 15674, 15682, 15772, 15775, 15689 +13153 , 15771, 15768, 15673, 15674, 15776, 15773, 15681, 15688 +13154 , 15674, 15771, 15774, 15684, 15689, 15775, 15778, 15695 +13155 , 15774, 15771, 15674, 15684, 15779, 15776, 15688, 15694 +13156 , 15684, 15774, 15777, 15690, 15695, 15778, 15781, 15701 +13157 , 15777, 15774, 15684, 15690, 15782, 15779, 15694, 15700 +13158 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15721, 15646, 15649 +13174 , 15796, 15797, 15800, 15728, 15791, 15801, 15882, 15803 +13175 , 15800, 15797, 15796, 15728, 15883, 15802, 15798, 15804 +13176 , 15728, 15796, 15791, 15803, 15724, 15649, 15726, 15730 +13177 , 15728, 15796, 15649, 15724, 15804, 15798, 15725, 15729 +13178 , 8693, 8696, 8708, 8694, 15728, 15804, 15807, 15731 +13179 , 8697, 8694, 8709, 8710, 15806, 15731, 15805, 15809 +13180 , 8694, 8708, 8711, 8709, 15731, 15807, 15810, 15805 +13181 , 8710, 8709, 8712, 8713, 15809, 15805, 15808, 15895 +13182 , 8709, 8711, 8714, 8712, 15805, 15810, 15896, 15808 +13183 , 8715, 8716, 8705, 8704, 15813, 15811, 15735, 15815 +13184 , 8716, 8717, 8706, 8705, 15811, 15814, 15816, 15735 +13185 , 8716, 8715, 8718, 8719, 15811, 15813, 15906, 15812 +13186 , 8717, 8716, 8719, 8720, 15814, 15811, 15812, 15905 +13187 , 15817, 15818, 15819, 15820, 15821, 15826, 15831, 15822 +13188 , 15819, 15818, 15817, 15820, 15832, 15827, 15823, 15824 +13189 , 15820, 15817, 15821, 15822, 15653, 15734, 15739, 15741 +13190 , 15824, 15823, 15817, 15820, 15740, 15738, 15734, 15653 +13191 , 15818, 15825, 15735, 15817, 15827, 15909, 15816, 15823 +13192 , 15735, 15825, 15818, 15817, 15815, 15910, 15826, 15821 +13193 , 15739, 15734, 15817, 15821, 15737, 15733, 15735, 15815 +13194 , 15817, 15735, 15733, 15734, 15823, 15816, 15736, 15738 +13195 , 15820, 15819, 15828, 15751, 15822, 15831, 15834, 15829 +13196 , 15828, 15819, 15820, 15751, 15835, 15832, 15824, 15830 +13197 , 15751, 15820, 15822, 15829, 15656, 15653, 15741, 15754 +13198 , 15830, 15824, 15820, 15751, 15742, 15740, 15653, 15656 +13199 , 15751, 15828, 15833, 15744, 15829, 15834, 15837, 15752 +13200 , 15833, 15828, 15751, 15744, 15838, 15835, 15830, 15753 +13201 , 15744, 15833, 15836, 15745, 15752, 15837, 15840, 15759 +13202 , 15836, 15833, 15744, 15745, 15841, 15838, 15753, 15760 +13203 , 15745, 15836, 15839, 15755, 15759, 15840, 15843, 15766 +13204 , 15839, 15836, 15745, 15755, 15844, 15841, 15760, 15767 +13205 , 15755, 15839, 15842, 15763, 15766, 15843, 15846, 15769 +13206 , 15842, 15839, 15755, 15763, 15847, 15844, 15767, 15770 +13207 , 15763, 15842, 15845, 15768, 15769, 15846, 15849, 15772 +13208 , 15845, 15842, 15763, 15768, 15850, 15847, 15770, 15773 +13209 , 15768, 15845, 15848, 15771, 15772, 15849, 15852, 15775 +13210 , 15848, 15845, 15768, 15771, 15853, 15850, 15773, 15776 +13211 , 15771, 15848, 15851, 15774, 15775, 15852, 15855, 15778 +13212 , 15851, 15848, 15771, 15774, 15856, 15853, 15776, 15779 +13213 , 15774, 15851, 15854, 15777, 15778, 15855, 15858, 15781 +13214 , 15854, 15851, 15774, 15777, 15859, 15856, 15779, 15782 +13215 , 15777, 15854, 15857, 15780, 15781, 15858, 15861, 15784 +13216 , 15857, 15854, 15777, 15780, 15862, 15859, 15782, 15785 +13217 , 12451, 15791, 15803, 12523, 12524, 15801, 15882, 12596 +13218 , 15803, 15791, 12451, 12523, 15730, 15726, 12525, 12599 +13219 , 15780, 15857, 15860, 15783, 15784, 15861, 15864, 15787 +13220 , 15860, 15857, 15780, 15783, 15865, 15862, 15785, 15788 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15894, 15891, 15883, 15889 +13237 , 15887, 15800, 15882, 15888, 15731, 15728, 15803, 15806 +13238 , 15889, 15883, 15800, 15887, 15807, 15804, 15728, 15731 +13239 , 15887, 15886, 15892, 15808, 15888, 15893, 15976, 15895 +13240 , 15892, 15886, 15887, 15808, 15975, 15894, 15889, 15896 +13241 , 15887, 15731, 15806, 15888, 15808, 15805, 15809, 15895 +13242 , 15808, 15887, 15731, 15805, 15896, 15889, 15807, 15810 +13243 , 8712, 8714, 8721, 8722, 15808, 15896, 15899, 15897 +13244 , 8713, 8712, 8722, 8723, 15895, 15808, 15897, 15900 +13245 , 8722, 8721, 8724, 8725, 15897, 15899, 15983, 15898 +13246 , 8723, 8722, 8725, 8726, 15900, 15897, 15898, 15982 +13247 , 8727, 8728, 8720, 8719, 15901, 15903, 15905, 15812 +13248 , 8729, 8727, 8719, 8718, 15904, 15901, 15812, 15906 +13249 , 8728, 8727, 8730, 8731, 15903, 15901, 15902, 15992 +13250 , 8727, 8729, 8732, 8730, 15901, 15904, 15993, 15902 +13251 , 15908, 15907, 15825, 15818, 15915, 15912, 15909, 15827 +13252 , 15825, 15907, 15908, 15818, 15910, 15913, 15916, 15826 +13253 , 15907, 15911, 15812, 15825, 15912, 15996, 15905, 15909 +13254 , 15812, 15911, 15907, 15825, 15906, 15997, 15913, 15910 +13255 , 15735, 15816, 15909, 15825, 15811, 15814, 15905, 15812 +13256 , 15815, 15735, 15825, 15910, 15813, 15811, 15812, 15906 +13257 , 15914, 15908, 15818, 15819, 15918, 15915, 15827, 15832 +13258 , 15818, 15908, 15914, 15819, 15826, 15916, 15919, 15831 +13259 , 15917, 15914, 15819, 15828, 15921, 15918, 15832, 15835 +13260 , 15819, 15914, 15917, 15828, 15831, 15919, 15922, 15834 +13261 , 15920, 15917, 15828, 15833, 15924, 15921, 15835, 15838 +13262 , 15828, 15917, 15920, 15833, 15834, 15922, 15925, 15837 +13263 , 15923, 15920, 15833, 15836, 15927, 15924, 15838, 15841 +13264 , 15833, 15920, 15923, 15836, 15837, 15925, 15928, 15840 +13265 , 15926, 15923, 15836, 15839, 15930, 15927, 15841, 15844 +13266 , 15836, 15923, 15926, 15839, 15840, 15928, 15931, 15843 +13267 , 15929, 15926, 15839, 15842, 15933, 15930, 15844, 15847 +13268 , 15839, 15926, 15929, 15842, 15843, 15931, 15934, 15846 +13269 , 15882, 15803, 12523, 12596, 15888, 15806, 12600, 13394 +13270 , 15803, 15730, 12599, 12523, 15806, 15732, 15493, 12600 +13271 , 15932, 15929, 15842, 15845, 15936, 15933, 15847, 15850 +13272 , 15842, 15929, 15932, 15845, 15846, 15934, 15937, 15849 +13273 , 15935, 15932, 15845, 15848, 15939, 15936, 15850, 15853 +13274 , 15845, 15932, 15935, 15848, 15849, 15937, 15940, 15852 +13275 , 15938, 15935, 15848, 15851, 15942, 15939, 15853, 15856 +13276 , 15848, 15935, 15938, 15851, 15852, 15940, 15943, 15855 +13277 , 15941, 15938, 15851, 15854, 15945, 15942, 15856, 15859 +13278 , 15851, 15938, 15941, 15854, 15855, 15943, 15946, 15858 +13279 , 15944, 15941, 15854, 15857, 15948, 15945, 15859, 15862 +13280 , 15854, 15941, 15944, 15857, 15858, 15946, 15949, 15861 +13281 , 15947, 15944, 15857, 15860, 15951, 15948, 15862, 15865 +13282 , 15857, 15944, 15947, 15860, 15861, 15949, 15952, 15864 +13283 , 15950, 15947, 15860, 15863, 15954, 15951, 15865, 15868 +13284 , 15860, 15947, 15950, 15863, 15864, 15952, 15955, 15867 +13285 , 15953, 15950, 15863, 15866, 15957, 15954, 15868, 15871 +13286 , 15863, 15950, 15953, 15866, 15867, 15955, 15958, 15870 +13287 , 15956, 15953, 15866, 15869, 15960, 15957, 15871, 15874 +13288 , 15866, 15953, 15956, 15869, 15870, 15958, 15961, 15873 +13289 , 15959, 15956, 15869, 15872, 15963, 15960, 15874, 15877 +13290 , 15869, 15956, 15959, 15872, 15873, 15961, 15964, 15876 +13291 , 15962, 15959, 15872, 15875, 15966, 15963, 15877, 15880 +13292 , 15872, 15959, 15962, 15875, 15876, 15964, 15967, 15879 +13293 , 15965, 15962, 15875, 15878, 15969, 15966, 15880, 15885 +13294 , 15875, 15962, 15965, 15878, 15879, 15967, 15970, 15884 +13295 , 15968, 15965, 15878, 15881, 15972, 15969, 15885, 15891 +13296 , 15878, 15965, 15968, 15881, 15884, 15970, 15973, 15890 +13297 , 15806, 15803, 15730, 15732, 15731, 15728, 15724, 15727 +13298 , 15971, 15968, 15881, 15886, 15977, 15972, 15891, 15894 +13299 , 15881, 15968, 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10809, 16208, 16211, 10826, 10823, 16795, 16796 +14137 , 10825, 10812, 16211, 16214, 10832, 10826, 16796, 16797 +14138 , 16275, 10825, 16214, 16217, 16818, 10832, 16797, 16798 +14139 , 16278, 16275, 16217, 16220, 16819, 16818, 16798, 16799 +14140 , 16281, 16278, 16220, 16223, 16820, 16819, 16799, 16800 +14141 , 16284, 16281, 16223, 16226, 16821, 16820, 16800, 16801 +14142 , 16287, 16284, 16226, 16229, 16822, 16821, 16801, 16802 +14143 , 16290, 16287, 16229, 16232, 16823, 16822, 16802, 16803 +14144 , 16293, 16290, 16232, 16235, 16824, 16823, 16803, 16804 +14145 , 16296, 16293, 16235, 16238, 16825, 16824, 16804, 16806 +14146 , 16299, 16296, 16238, 16240, 16826, 16825, 16806, 16807 +14147 , 16826, 16807, 16240, 16299, 16846, 16827, 16301, 16357 +14148 , 12949, 15831, 15834, 12989, 13559, 15919, 15922, 13569 +14149 , 8775, 8767, 9020, 8776, 16304, 16301, 16357, 16365 +14150 , 8767, 9018, 9021, 9020, 16301, 16827, 16846, 16357 +14151 , 8779, 9022, 9019, 8774, 16307, 16828, 16829, 16309 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13080, 13589, 15925, 15928, 13599 +14184 , 16392, 16391, 16329, 16330, 16857, 16856, 16835, 16836 +14185 , 10263, 16392, 16330, 10800, 10304, 16857, 16836, 10828 +14186 , 16395, 10654, 10824, 16333, 16858, 10831, 10829, 16837 +14187 , 16397, 16395, 16333, 16336, 16859, 16858, 16837, 16838 +14188 , 16400, 16397, 16336, 16339, 16860, 16859, 16838, 16839 +14189 , 16403, 16400, 16339, 16342, 16861, 16860, 16839, 16840 +14190 , 16406, 16403, 16342, 16345, 16862, 16861, 16840, 16841 +14191 , 16409, 16406, 16345, 16348, 16863, 16862, 16841, 16842 +14192 , 16412, 16409, 16348, 16351, 16864, 16863, 16842, 16843 +14193 , 16415, 16412, 16351, 16354, 16865, 16864, 16843, 16844 +14194 , 13080, 15840, 15843, 13114, 13599, 15928, 15931, 13614 +14195 , 16418, 16415, 16354, 16359, 16867, 16865, 16844, 16845 +14196 , 16420, 16418, 16359, 16361, 16868, 16867, 16845, 16866 +14197 , 16479, 16420, 16361, 16423, 16888, 16868, 16866, 16869 +14198 , 16423, 16361, 16357, 16365, 16869, 16866, 16846, 16847 +14199 , 8783, 9025, 9027, 8789, 16423, 16869, 16888, 16479 +14200 , 9026, 8787, 8795, 9028, 16870, 16426, 16373, 16850 +14201 , 9028, 8795, 8797, 9029, 16850, 16373, 16483, 16889 +14202 , 16376, 16851, 16852, 16379, 16431, 16871, 16872, 16434 +14203 , 16373, 16850, 16851, 16376, 16483, 16889, 16871, 16431 +14204 , 16437, 16434, 16379, 16382, 16873, 16872, 16852, 16853 +14205 , 16440, 16437, 16382, 16385, 16874, 16873, 16853, 16854 +14206 , 16443, 16440, 16385, 16388, 16875, 16874, 16854, 16855 +14207 , 16446, 16443, 16388, 16391, 16876, 16875, 16855, 16856 +14208 , 16448, 16446, 16391, 16392, 16877, 16876, 16856, 16857 +14209 , 10303, 16448, 16392, 10263, 10309, 16877, 16857, 10304 +14210 , 7427, 8654, 8657, 7456, 13613, 15634, 15637, 13683 +14211 , 13114, 15843, 15846, 13142, 13614, 15931, 15934, 13629 +14212 , 16451, 10637, 10654, 16395, 16878, 10660, 10831, 16858 +14213 , 16453, 16451, 16395, 16397, 16879, 16878, 16858, 16859 +14214 , 16456, 16453, 16397, 16400, 16880, 16879, 16859, 16860 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+14231 , 16440, 16874, 16875, 16443, 16496, 16891, 16892, 16499 +14232 , 13142, 15846, 15849, 13200, 13629, 15934, 15937, 13639 +14233 , 16502, 16499, 16443, 16446, 16893, 16892, 16875, 16876 +14234 , 16504, 16502, 16446, 16448, 16894, 16893, 16876, 16877 +14235 , 10311, 16504, 16448, 10303, 10355, 16894, 16877, 10309 +14236 , 10311, 10303, 10310, 16505, 10312, 10272, 10270, 10275 +14237 , 16507, 10639, 10637, 16451, 16895, 10661, 10660, 16878 +14238 , 16508, 16507, 16451, 16453, 16896, 16895, 16878, 16879 +14239 , 16510, 16508, 16453, 16456, 16897, 16896, 16879, 16880 +14240 , 16512, 16510, 16456, 16459, 16898, 16897, 16880, 16881 +14241 , 16514, 16512, 16459, 16462, 16899, 16898, 16881, 16882 +14242 , 16517, 16514, 16462, 16465, 16900, 16899, 16882, 16883 +14243 , 16520, 16517, 16465, 16468, 16901, 16900, 16883, 16884 +14244 , 13200, 15849, 15852, 13224, 13639, 15937, 15940, 13648 +14245 , 16523, 16520, 16468, 16471, 16902, 16901, 16884, 16885 +14246 , 16526, 16523, 16471, 16474, 16903, 16902, 16885, 16886 +14247 , 16528, 16526, 16474, 16476, 16904, 16903, 16886, 16887 +14248 , 16564, 16528, 16476, 16531, 16917, 16904, 16887, 16905 +14249 , 8798, 9030, 9036, 8819, 16531, 16905, 16917, 16564 +14250 , 9035, 8826, 8829, 9037, 16906, 16491, 16493, 16890 +14251 , 9037, 8829, 8834, 9038, 16890, 16493, 16496, 16891 +14252 , 9039, 8834, 8836, 8855, 16499, 16496, 16567, 16540 +14253 , 9038, 8834, 9039, 9040, 16891, 16496, 16499, 16892 +14254 , 9040, 9039, 8855, 9041, 16892, 16499, 16540, 16919 +14255 , 16502, 16893, 16894, 16504, 16542, 16907, 16908, 16544 +14256 , 16542, 16540, 16499, 16502, 16907, 16919, 16892, 16893 +14257 , 16504, 16894, 10355, 10311, 16544, 16908, 16920, 16569 +14258 , 8837, 8838, 9042, 8839, 10311, 10312, 10424, 16569 +14259 , 13224, 15852, 15855, 13250, 13648, 15940, 15943, 13661 +14260 , 11806, 10658, 10638, 10639, 16909, 10657, 10641, 10661 +14261 , 10638, 10658, 11806, 10639, 10635, 11184, 11804, 10636 +14262 , 11807, 11806, 10639, 16507, 16910, 16909, 10661, 16895 +14263 , 11813, 11807, 16507, 16508, 11964, 16910, 16895, 16896 +14264 , 11819, 11813, 16508, 16510, 11966, 11964, 16896, 16897 +14265 , 11824, 11819, 16510, 16512, 16911, 11966, 16897, 16898 +14266 , 16549, 11824, 16512, 16514, 16912, 16911, 16898, 16899 +14267 , 16551, 16549, 16514, 16517, 16913, 16912, 16899, 16900 +14268 , 16553, 16551, 16517, 16520, 16914, 16913, 16900, 16901 +14269 , 16556, 16553, 16520, 16523, 16915, 16914, 16901, 16902 +14270 , 16559, 16556, 16523, 16526, 16916, 16915, 16902, 16903 +14271 , 16561, 16559, 16526, 16528, 16918, 16916, 16903, 16904 +14272 , 16584, 16561, 16528, 16564, 16926, 16918, 16904, 16917 +14273 , 8819, 9036, 9045, 8850, 16564, 16917, 16926, 16584 +14274 , 9041, 8855, 8858, 9046, 16919, 16540, 16542, 16907 +14275 , 9046, 8858, 8861, 9047, 16907, 16542, 16544, 16908 +14276 , 9047, 8861, 8839, 9048, 16908, 16544, 16569, 16920 +14277 , 9048, 8839, 9042, 9049, 16920, 16569, 10424, 10363 +14278 , 13250, 15855, 15858, 13276, 13661, 15943, 15946, 13667 +14279 , 9049, 9042, 9043, 9050, 10363, 10424, 10317, 10364 +14280 , 9050, 9043, 9044, 9051, 10364, 10317, 10318, 10365 +14281 , 11808, 11830, 10658, 11806, 11971, 11969, 10657, 16909 +14282 , 10658, 10657, 11969, 11830, 10579, 10585, 10591, 10584 +14283 , 11810, 11808, 11806, 11807, 11973, 11971, 16909, 16910 +14284 , 11845, 11825, 11824, 16549, 16921, 11976, 16911, 16912 +14285 , 11824, 11825, 11845, 16549, 11817, 11816, 11822, 11823 +14286 , 16572, 11845, 16549, 16551, 16922, 16921, 16912, 16913 +14287 , 16574, 16572, 16551, 16553, 16923, 16922, 16913, 16914 +14288 , 16576, 16574, 16553, 16556, 16924, 16923, 16914, 16915 +14289 , 16579, 16576, 16556, 16559, 16925, 16924, 16915, 16916 +14290 , 16925, 16916, 16559, 16579, 16931, 16918, 16561, 16585 +14291 , 8850, 9056, 8882, 8872, 16584, 16561, 16585, 16593 +14292 , 9057, 9056, 8850, 9045, 16918, 16561, 16584, 16926 +14293 , 9056, 9057, 9058, 8882, 16561, 16918, 16931, 16585 +14294 , 13276, 15858, 15861, 13295, 13667, 15946, 15949, 13674 +14295 , 11872, 11851, 11845, 16572, 16927, 11984, 16921, 16922 +14296 , 11845, 11851, 11872, 16572, 11822, 11844, 11848, 11849 +14297 , 16587, 11872, 16572, 16574, 16928, 16927, 16922, 16923 +14298 , 16589, 16587, 16574, 16576, 16929, 16928, 16923, 16924 +14299 , 16590, 16589, 16576, 16579, 16930, 16929, 16924, 16925 +14300 , 16930, 16925, 16579, 16590, 16932, 16931, 16585, 16596 +14301 , 8882, 9058, 9061, 8885, 16585, 16931, 16932, 16596 +14302 , 13295, 15861, 15864, 13307, 13674, 15949, 15952, 13677 +14303 , 11901, 11878, 11872, 16587, 11999, 11994, 16927, 16928 +14304 , 11872, 11878, 11901, 16587, 11848, 11871, 11875, 11876 +14305 , 11998, 11901, 16587, 16589, 12060, 11999, 16928, 16929 +14306 , 16589, 16929, 16930, 16590, 11998, 12060, 16933, 16597 +14307 , 16602, 16597, 16590, 16596, 16934, 16933, 16930, 16932 +14308 , 8885, 9061, 9066, 8893, 16596, 16932, 16934, 16602 +14309 , 13307, 15864, 15867, 13315, 13677, 15952, 15955, 13679 +14310 , 8901, 9070, 8918, 8904, 16597, 11998, 11997, 16604 +14311 , 9071, 9070, 8901, 9072, 12060, 11998, 16597, 16933 +14312 , 9072, 8901, 8893, 9066, 16933, 16597, 16602, 16934 +14313 , 13315, 15867, 15870, 13319, 13679, 15955, 15958, 13680 +14314 , 13319, 15870, 15873, 13322, 13680, 15958, 15961, 13684 +14315 , 8968, 8967, 8969, 9090, 16607, 16606, 16621, 16622 +14316 , 8970, 8968, 9090, 8972, 16608, 16607, 16622, 16624 +14317 , 8974, 8973, 8975, 9091, 16610, 16609, 16629, 16630 +14318 , 8976, 8974, 9091, 9092, 16611, 16610, 16630, 16631 +14319 , 8977, 8976, 9092, 9093, 16612, 16611, 16631, 16633 +14320 , 8978, 8977, 9093, 9094, 16613, 16612, 16633, 16635 +14321 , 8978, 9095, 9096, 8979, 16613, 16935, 16936, 16614 +14322 , 9095, 8978, 9094, 9097, 16935, 16613, 16635, 16946 +14323 , 8979, 9096, 9098, 8980, 16614, 16936, 16937, 16615 +14324 , 7456, 8657, 8660, 7526, 13683, 15637, 15641, 13897 +14325 , 13322, 15873, 15876, 13323, 13684, 15961, 15964, 13698 +14326 , 8981, 8980, 9099, 9100, 16616, 16615, 16639, 16641 +14327 , 8980, 9098, 9101, 9099, 16615, 16937, 16949, 16639 +14328 , 8982, 8981, 9100, 9102, 16617, 16616, 16641, 16643 +14329 , 8983, 8982, 9102, 9103, 16618, 16617, 16643, 16645 +14330 , 8984, 8983, 9103, 9104, 16619, 16618, 16645, 16647 +14331 , 8984, 9105, 9106, 8985, 16619, 16938, 16939, 16620 +14332 , 9105, 8984, 9104, 9107, 16938, 16619, 16647, 16953 +14333 , 8985, 9106, 9108, 8969, 16620, 16939, 16940, 16621 +14334 , 8969, 9108, 9109, 9090, 16621, 16940, 16941, 16622 +14335 , 8972, 9090, 9110, 9111, 16624, 16622, 16623, 16654 +14336 , 9090, 9109, 9112, 9110, 16622, 16941, 16958, 16623 +14337 , 8986, 8972, 9111, 9113, 16625, 16624, 16654, 16656 +14338 , 8987, 8986, 9113, 8989, 16626, 16625, 16656, 16659 +14339 , 8992, 8991, 8993, 9114, 16628, 16627, 16664, 16665 +14340 , 8975, 8992, 9114, 9115, 16629, 16628, 16665, 16666 +14341 , 8975, 9116, 9117, 9091, 16629, 16942, 16943, 16630 +14342 , 9116, 8975, 9115, 9118, 16942, 16629, 16666, 16965 +14343 , 9091, 9117, 9119, 9092, 16630, 16943, 16944, 16631 +14344 , 9092, 9119, 9120, 9093, 16631, 16944, 16945, 16633 +14345 , 9093, 9120, 9097, 9094, 16633, 16945, 16946, 16635 +14346 , 16640, 16638, 16635, 16637, 16948, 16971, 16946, 16947 +14347 , 16642, 16640, 16637, 16639, 16974, 16948, 16947, 16949 +14348 , 16637, 16635, 16613, 16614, 16947, 16946, 16935, 16936 +14349 , 16639, 16637, 16614, 16615, 16949, 16947, 16936, 16937 +14350 , 9099, 9101, 9121, 9100, 16639, 16949, 16950, 16641 +14351 , 13323, 15876, 15879, 13338, 13698, 15964, 15967, 13722 +14352 , 9100, 9121, 9122, 9102, 16641, 16950, 16951, 16643 +14353 , 9102, 9122, 9123, 9103, 16643, 16951, 16952, 16645 +14354 , 9103, 9123, 9107, 9104, 16645, 16952, 16953, 16647 +14355 , 16653, 16652, 16649, 16651, 16957, 16956, 16954, 16955 +14356 , 16651, 16649, 16620, 16621, 16955, 16954, 16939, 16940 +14357 , 16652, 16650, 16647, 16649, 16956, 16982, 16953, 16954 +14358 , 16649, 16647, 16619, 16620, 16954, 16953, 16938, 16939 +14359 , 16655, 16653, 16651, 16623, 16986, 16957, 16955, 16958 +14360 , 16623, 16651, 16621, 16622, 16958, 16955, 16940, 16941 +14361 , 16654, 16623, 9110, 9111, 16959, 16958, 9112, 10044 +14362 , 16656, 16654, 9111, 9113, 16960, 16959, 10044, 10045 +14363 , 16659, 16656, 9113, 8989, 16961, 16960, 10045, 10046 +14364 , 8994, 8989, 9124, 9125, 16660, 16659, 16683, 16685 +14365 , 16683, 16659, 8989, 9124, 16993, 16961, 10046, 10047 +14366 , 8995, 8994, 9125, 8997, 16661, 16660, 16685, 16688 +14367 , 8999, 8998, 9000, 9126, 16663, 16662, 16691, 16692 +14368 , 8999, 9127, 9128, 8993, 16663, 16962, 16963, 16664 +14369 , 9127, 8999, 9126, 9129, 16962, 16663, 16692, 16997 +14370 , 8993, 9128, 9130, 9114, 16664, 16963, 16964, 16665 +14371 , 9114, 9130, 9118, 9115, 16665, 16964, 16965, 16666 +14372 , 16670, 16669, 16632, 16634, 16970, 16968, 16966, 16967 +14373 , 16634, 16632, 16630, 16631, 16967, 16966, 16943, 16944 +14374 , 16669, 16668, 16666, 16632, 16968, 17001, 16965, 16966 +14375 , 16632, 16666, 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10869, 10848, 17456, 17457, 10889, 10870, 17763, 17764 +15469 , 17472, 10869, 17457, 17458, 17780, 10889, 17764, 17765 +15470 , 17473, 17472, 17458, 17459, 17781, 17780, 17765, 17766 +15471 , 17474, 17473, 17459, 17460, 17782, 17781, 17766, 17767 +15472 , 17475, 17474, 17460, 17461, 17783, 17782, 17767, 17768 +15473 , 14103, 16048, 16051, 14124, 14593, 16140, 16143, 14603 +15474 , 17476, 17475, 17461, 17462, 17784, 17783, 17768, 17770 +15475 , 17477, 17476, 17462, 17463, 17786, 17784, 17770, 17771 +15476 , 17491, 17477, 17463, 17478, 17797, 17786, 17771, 17785 +15477 , 9272, 9412, 9416, 9278, 17478, 17785, 17797, 17491 +15478 , 9417, 9280, 9281, 9283, 17467, 17466, 17492, 17480 +15479 , 9415, 9280, 9417, 9418, 17787, 17466, 17467, 17774 +15480 , 9419, 9417, 9283, 9284, 17468, 17467, 17480, 17481 +15481 , 9418, 9417, 9419, 9420, 17774, 17467, 17468, 17775 +15482 , 9420, 9419, 9284, 9421, 17775, 17468, 17481, 17798 +15483 , 17483, 17482, 17469, 17470, 17789, 17788, 17776, 17777 +15484 , 17482, 17481, 17468, 17469, 17788, 17798, 17775, 17776 +15485 , 17484, 17483, 17470, 17471, 17790, 17789, 17777, 17778 +15486 , 10403, 17484, 17471, 10394, 17791, 17790, 17778, 17779 +15487 , 10395, 10403, 10394, 10385, 10423, 17791, 17779, 10415 +15488 , 14124, 16051, 16054, 14146, 14603, 16143, 16146, 14615 +15489 , 17485, 10859, 10869, 17472, 17792, 10881, 10889, 17780 +15490 , 17486, 17485, 17472, 17473, 17793, 17792, 17780, 17781 +15491 , 17487, 17486, 17473, 17474, 17794, 17793, 17781, 17782 +15492 , 17488, 17487, 17474, 17475, 17795, 17794, 17782, 17783 +15493 , 17489, 17488, 17475, 17476, 17796, 17795, 17783, 17784 +15494 , 17490, 17489, 17476, 17477, 17808, 17796, 17784, 17786 +15495 , 9278, 9422, 9423, 9282, 17491, 17477, 17490, 17502 +15496 , 9424, 9422, 9278, 9416, 17786, 17477, 17491, 17797 +15497 , 9422, 9424, 9425, 9423, 17477, 17786, 17808, 17490 +15498 , 9426, 9284, 9285, 9287, 17482, 17481, 17503, 17493 +15499 , 9421, 9284, 9426, 9427, 17798, 17481, 17482, 17788 +15500 , 9427, 9426, 9287, 9428, 17788, 17482, 17493, 17809 +15501 , 17495, 17494, 17483, 17484, 17800, 17799, 17789, 17790 +15502 , 17494, 17493, 17482, 17483, 17799, 17809, 17788, 17789 +15503 , 17484, 17495, 10404, 10403, 10356, 10402, 10366, 10357 +15504 , 10404, 17495, 17484, 10403, 17801, 17800, 17790, 17791 +15505 , 10405, 10404, 10403, 10395, 17802, 17801, 17791, 10423 +15506 , 14146, 16054, 16057, 14167, 14615, 16146, 16149, 14627 +15507 , 17496, 10880, 10859, 17485, 17803, 10890, 10881, 17792 +15508 , 17497, 17496, 17485, 17486, 17804, 17803, 17792, 17793 +15509 , 17498, 17497, 17486, 17487, 17805, 17804, 17793, 17794 +15510 , 17499, 17498, 17487, 17488, 17806, 17805, 17794, 17795 +15511 , 17500, 17499, 17488, 17489, 17807, 17806, 17795, 17796 +15512 , 17501, 17500, 17489, 17490, 17830, 17807, 17796, 17808 +15513 , 9282, 9423, 9429, 9286, 17502, 17490, 17501, 17519 +15514 , 9423, 9425, 9430, 9429, 17490, 17808, 17830, 17501 +15515 , 9428, 9287, 9288, 9431, 17809, 17493, 17494, 17799 +15516 , 9431, 9288, 9291, 9432, 17799, 17494, 17522, 17831 +15517 , 17811, 17810, 17495, 10404, 17813, 17812, 17800, 17801 +15518 , 17495, 17810, 17811, 10404, 10402, 17505, 17227, 10366 +15519 , 17495, 17800, 17812, 17810, 17494, 17799, 17831, 17522 +15520 , 10402, 17495, 17810, 17505, 17204, 17494, 17522, 17504 +15521 , 17506, 17811, 10404, 10405, 17814, 17813, 17801, 17802 +15522 , 14167, 16057, 16060, 14189, 14627, 16149, 16152, 14649 +15523 , 17507, 17506, 10405, 10406, 17815, 17814, 17802, 10872 +15524 , 10651, 17507, 10406, 10649, 17816, 17815, 10872, 10873 +15525 , 10653, 10651, 10649, 10643, 17817, 17816, 10873, 10874 +15526 , 10663, 10653, 10643, 10645, 17818, 17817, 10874, 10875 +15527 , 17508, 10663, 10645, 10646, 17819, 17818, 10875, 10876 +15528 , 10645, 10663, 17508, 10646, 10642, 10662, 10664, 10644 +15529 , 17509, 17508, 10646, 10854, 17820, 17819, 10876, 10877 +15530 , 17510, 17509, 10854, 10855, 17821, 17820, 10877, 10878 +15531 , 17511, 17510, 10855, 10857, 17822, 17821, 10878, 10879 +15532 , 17512, 17511, 10857, 10861, 17823, 17822, 10879, 10882 +15533 , 17513, 17512, 10861, 10880, 17824, 17823, 10882, 10890 +15534 , 17514, 17513, 10880, 17496, 17825, 17824, 10890, 17803 +15535 , 7841, 8678, 8683, 7877, 14639, 15658, 15661, 14776 +15536 , 17515, 17514, 17496, 17497, 17826, 17825, 17803, 17804 +15537 , 17516, 17515, 17497, 17498, 17827, 17826, 17804, 17805 +15538 , 17517, 17516, 17498, 17499, 17828, 17827, 17805, 17806 +15539 , 17518, 17517, 17499, 17500, 17829, 17828, 17806, 17807 +15540 , 17520, 17518, 17500, 17501, 17850, 17829, 17807, 17830 +15541 , 9286, 9429, 9302, 9292, 17519, 17501, 17520, 17536 +15542 , 9429, 9430, 9433, 9302, 17501, 17830, 17850, 17520 +15543 , 9432, 9291, 9295, 9434, 17831, 17522, 17537, 17853 +15544 , 17832, 17539, 17810, 17811, 17834, 17833, 17812, 17813 +15545 , 17810, 17539, 17832, 17811, 17505, 17523, 17524, 17227 +15546 , 17810, 17812, 17833, 17539, 17522, 17831, 17853, 17537 +15547 , 17504, 17522, 17810, 17505, 17521, 17537, 17539, 17523 +15548 , 14189, 16060, 16063, 14207, 14649, 16152, 16155, 14670 +15549 , 17542, 17832, 17811, 17506, 17835, 17834, 17813, 17814 +15550 , 17811, 17832, 17542, 17506, 17227, 17524, 17525, 17228 +15551 , 17506, 17814, 17815, 17507, 17542, 17835, 17836, 17543 +15552 , 17228, 17506, 17507, 10647, 17525, 17542, 17543, 17526 +15553 , 17507, 17815, 17816, 10651, 17543, 17836, 17837, 17544 +15554 , 10647, 17507, 10651, 10648, 17526, 17543, 17544, 17527 +15555 , 10651, 17816, 17817, 10653, 17544, 17837, 17838, 17545 +15556 , 10648, 10651, 10653, 10650, 17527, 17544, 17545, 17528 +15557 , 10653, 17817, 17818, 10663, 17545, 17838, 17839, 17546 +15558 , 10650, 10653, 10663, 10662, 17528, 17545, 17546, 12233 +15559 , 10663, 17818, 17819, 17508, 17546, 17839, 17840, 17529 +15560 , 17530, 17529, 17508, 17509, 17841, 17840, 17819, 17820 +15561 , 12090, 17530, 17509, 17510, 17842, 17841, 17820, 17821 +15562 , 12092, 12090, 17510, 17511, 17843, 17842, 17821, 17822 +15563 , 12094, 12092, 17511, 17512, 17844, 17843, 17822, 17823 +15564 , 12096, 12094, 17512, 17513, 17845, 17844, 17823, 17824 +15565 , 17531, 12096, 17513, 17514, 17846, 17845, 17824, 17825 +15566 , 17532, 17531, 17514, 17515, 17847, 17846, 17825, 17826 +15567 , 17533, 17532, 17515, 17516, 17848, 17847, 17826, 17827 +15568 , 17534, 17533, 17516, 17517, 17849, 17848, 17827, 17828 +15569 , 17535, 17534, 17517, 17518, 17851, 17849, 17828, 17829 +15570 , 17547, 17535, 17518, 17520, 17858, 17851, 17829, 17850 +15571 , 9302, 9433, 9435, 9303, 17520, 17850, 17858, 17547 +15572 , 9295, 9304, 9307, 9436, 17537, 17539, 17549, 17852 +15573 , 9434, 9295, 9436, 9437, 17853, 17537, 17852, 17859 +15574 , 14207, 16063, 16066, 14224, 14670, 16155, 16158, 14677 +15575 , 17539, 17833, 17834, 17832, 17549, 17860, 17854, 17550 +15576 , 17832, 17834, 17835, 17542, 17550, 17854, 17863, 17551 +15577 , 17523, 17539, 17832, 17524, 17538, 17549, 17550, 17540 +15578 , 17524, 17832, 17542, 17525, 17540, 17550, 17551, 17541 +15579 , 9309, 9310, 9438, 9311, 17542, 17543, 17855, 17551 +15580 , 9310, 9312, 9439, 9438, 17543, 17544, 17856, 17855 +15581 , 9440, 9312, 9313, 9441, 17837, 17544, 17545, 17838 +15582 , 9312, 9440, 9442, 9439, 17544, 17837, 17865, 17856 +15583 , 9441, 9313, 9314, 9443, 17838, 17545, 17546, 17839 +15584 , 9443, 9314, 9315, 9444, 17839, 17546, 17529, 17840 +15585 , 9444, 9315, 9316, 9445, 17840, 17529, 12139, 12180 +15586 , 17530, 12098, 12091, 12090, 12037, 12038, 12040, 12039 +15587 , 12091, 12098, 17530, 12090, 12142, 12140, 17841, 17842 +15588 , 17530, 17841, 12140, 12098, 17529, 17840, 12180, 12139 +15589 , 12093, 12091, 12090, 12092, 12144, 12142, 17842, 17843 +15590 , 12095, 12093, 12092, 12094, 12146, 12144, 17843, 17844 +15591 , 12097, 12095, 12094, 12096, 12148, 12146, 17844, 17845 +15592 , 12103, 12097, 12096, 17531, 12150, 12148, 17845, 17846 +15593 , 12096, 12097, 12103, 17531, 12045, 12046, 12048, 12047 +15594 , 12106, 12103, 17531, 17532, 12152, 12150, 17846, 17847 +15595 , 12109, 12106, 17532, 17533, 12191, 12152, 17847, 17848 +15596 , 17533, 17848, 17849, 17534, 12109, 12191, 17857, 12154 +15597 , 17857, 17849, 17534, 12154, 17866, 17851, 17535, 17548 +15598 , 9303, 9446, 9321, 9317, 17547, 17535, 17548, 17552 +15599 , 9447, 9446, 9303, 9435, 17851, 17535, 17547, 17858 +15600 , 9446, 9447, 9448, 9321, 17535, 17851, 17866, 17548 +15601 , 9437, 9436, 9307, 9449, 17859, 17852, 17549, 17860 +15602 , 14224, 16066, 16071, 14244, 14677, 16158, 16161, 14687 +15603 , 9449, 9307, 9318, 9450, 17860, 17549, 17550, 17854 +15604 , 9318, 9311, 9451, 9452, 17550, 17551, 17862, 17861 +15605 , 9450, 9318, 9452, 9453, 17854, 17550, 17861, 17867 +15606 , 9454, 9311, 9438, 9455, 17863, 17551, 17855, 17864 +15607 , 9311, 9454, 9456, 9451, 17551, 17863, 17868, 17862 +15608 , 9455, 9438, 9439, 9442, 17864, 17855, 17856, 17865 +15609 , 9460, 9458, 9320, 9461, 12191, 12109, 12154, 17857 +15610 , 9461, 9320, 9321, 9448, 17857, 12154, 17548, 17866 +15611 , 9453, 9452, 9451, 9456, 17867, 17861, 17862, 17868 +15612 , 14244, 16071, 16074, 14255, 14687, 16161, 16166, 14689 +15613 , 14255, 16074, 16164, 14688, 14689, 16166, 16168, 14690 +15614 , 9343, 9342, 9344, 9478, 17554, 17553, 17569, 17570 +15615 , 9345, 9343, 9478, 9479, 17555, 17554, 17570, 17571 +15616 , 9346, 9345, 9479, 9480, 17556, 17555, 17571, 17573 +15617 , 9347, 9346, 9480, 9481, 17557, 17556, 17573, 17575 +15618 , 9348, 9347, 9481, 9482, 17558, 17557, 17575, 17577 +15619 , 9349, 9348, 9482, 9483, 17559, 17558, 17577, 17579 +15620 , 16168, 16164, 14688, 14690, 16244, 16170, 14691, 15199 +15621 , 16164, 16076, 14256, 14688, 16170, 16080, 14276, 14691 +15622 , 9350, 9349, 9483, 9355, 17560, 17559, 17579, 17582 +15623 , 9361, 9360, 9362, 9484, 17563, 17562, 17589, 17590 +15624 , 9363, 9361, 9484, 9485, 17564, 17563, 17590, 17591 +15625 , 9364, 9363, 9485, 9486, 17565, 17564, 17591, 17593 +15626 , 9365, 9364, 9486, 9487, 17566, 17565, 17593, 17595 +15627 , 9366, 9365, 9487, 9488, 17567, 17566, 17595, 17597 +15628 , 9366, 9489, 9490, 9367, 17567, 17869, 17870, 17568 +15629 , 9489, 9366, 9488, 9491, 17869, 17567, 17597, 17880 +15630 , 9367, 9490, 9492, 9344, 17568, 17870, 17871, 17569 +15631 , 9344, 9492, 9493, 9478, 17569, 17871, 17872, 17570 +15632 , 9478, 9493, 9494, 9479, 17570, 17872, 17873, 17571 +15633 , 9479, 9494, 9495, 9480, 17571, 17873, 17874, 17573 +15634 , 9480, 9495, 9496, 9481, 17573, 17874, 17875, 17575 +15635 , 17577, 17575, 9481, 9482, 17896, 17875, 9496, 9613 +15636 , 17579, 17577, 9482, 9483, 17899, 17896, 9613, 9615 +15637 , 17582, 17579, 9483, 9355, 17901, 17899, 9615, 9617 +15638 , 17583, 17582, 9355, 9368, 18162, 17901, 9617, 9619 +15639 , 9369, 9368, 9497, 9498, 17584, 17583, 17611, 17613 +15640 , 17611, 17583, 9368, 9497, 17902, 18162, 9619, 9620 +15641 , 9370, 9369, 9498, 9375, 17586, 17584, 17613, 17616 +15642 , 7719, 8750, 8759, 7944, 14691, 16170, 16244, 15199 +15643 , 9378, 9377, 9379, 9499, 17588, 17587, 17620, 17621 +15644 , 9362, 9378, 9499, 9500, 17589, 17588, 17621, 17622 +15645 , 9484, 9362, 9500, 9501, 17590, 17589, 17622, 17592 +15646 , 9484, 9502, 9503, 9485, 17590, 17876, 17877, 17591 +15647 , 9502, 9484, 9501, 9504, 17876, 17590, 17592, 17904 +15648 , 9485, 9503, 9505, 9486, 17591, 17877, 17878, 17593 +15649 , 9486, 9505, 9506, 9487, 17593, 17878, 17879, 17595 +15650 , 9487, 9506, 9491, 9488, 17595, 17879, 17880, 17597 +15651 , 17603, 17602, 17599, 17601, 17885, 17883, 17881, 17882 +15652 , 17601, 17599, 17568, 17569, 17882, 17881, 17870, 17871 +15653 , 17602, 17600, 17597, 17599, 17883, 17910, 17880, 17881 +15654 , 17599, 17597, 17567, 17568, 17881, 17880, 17869, 17870 +15655 , 17604, 17603, 17601, 17572, 17887, 17885, 17882, 17884 +15656 , 17572, 17601, 17569, 17570, 17884, 17882, 17871, 17872 +15657 , 17605, 17604, 17572, 17574, 17889, 17887, 17884, 17886 +15658 , 17574, 17572, 17570, 17571, 17886, 17884, 17872, 17873 +15659 , 17606, 17605, 17574, 17576, 17891, 17889, 17886, 17888 +15660 , 17576, 17574, 17571, 17573, 17888, 17886, 17873, 17874 +15661 , 17607, 17606, 17576, 17578, 17893, 17891, 17888, 17890 +15662 , 17578, 17576, 17573, 17575, 17890, 17888, 17874, 17875 +15663 , 17608, 17607, 17578, 17580, 17895, 17893, 17890, 17892 +15664 , 17580, 17578, 17575, 17577, 17892, 17890, 17875, 17896 +15665 , 17610, 17608, 17580, 17581, 17898, 17895, 17892, 17894 +15666 , 17581, 17580, 17577, 17579, 17894, 17892, 17896, 17899 +15667 , 17612, 17610, 17581, 17609, 17900, 17898, 17894, 17897 +15668 , 17609, 17581, 17579, 17582, 17897, 17894, 17899, 17901 +15669 , 17614, 17612, 17609, 17611, 17921, 17900, 17897, 17902 +15670 , 17611, 17609, 17582, 17583, 17902, 17897, 17901, 18162 +15671 , 17613, 17611, 9497, 9498, 18171, 17902, 9620, 9637 +15672 , 9375, 9498, 9507, 9508, 17616, 17613, 17615, 17640 +15673 , 17615, 17613, 9498, 9507, 17924, 18171, 9637, 9639 +15674 , 9380, 9375, 9508, 9384, 17618, 17616, 17640, 17643 +15675 , 8756, 7725, 7956, 9509, 16174, 14726, 14748, 16178 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9948, 18479, 18478, 18493, 18494 +16731 , 9938, 9936, 9948, 9949, 18590, 18479, 18494, 18596 +16732 , 18496, 18495, 18480, 18481, 18592, 18591, 18586, 18587 +16733 , 18495, 18494, 18479, 18480, 18591, 18596, 18590, 18586 +16734 , 15026, 16215, 16218, 15049, 15452, 16273, 16276, 15462 +16735 , 18497, 18496, 18481, 18482, 18599, 18592, 18587, 18589 +16736 , 9939, 9950, 9951, 9952, 18483, 18482, 18497, 18498 +16737 , 9953, 9950, 9939, 9941, 18589, 18482, 18483, 18593 +16738 , 9950, 9953, 9954, 9951, 18482, 18589, 18599, 18497 +16739 , 9940, 9939, 9952, 9955, 18485, 18483, 18498, 18499 +16740 , 9942, 9940, 9955, 9835, 18486, 18485, 18499, 18501 +16741 , 9819, 9942, 9835, 9827, 18500, 18486, 18501, 18514 +16742 , 9943, 9825, 9831, 9842, 18489, 18502, 18515, 18503 +16743 , 9944, 9943, 9842, 9956, 18490, 18489, 18503, 18504 +16744 , 9945, 9944, 9956, 9957, 18491, 18490, 18504, 18505 +16745 , 9946, 9945, 9957, 9958, 18492, 18491, 18505, 18506 +16746 , 9946, 9959, 9960, 9947, 18492, 18594, 18595, 18493 +16747 , 9959, 9946, 9958, 9961, 18594, 18492, 18506, 18601 +16748 , 9947, 9960, 9949, 9948, 18493, 18595, 18596, 18494 +16749 , 18510, 18509, 18495, 18496, 18598, 18597, 18591, 18592 +16750 , 18509, 18508, 18494, 18495, 18597, 18603, 18596, 18591 +16751 , 18511, 18510, 18496, 18497, 18607, 18598, 18592, 18599 +16752 , 9951, 9954, 9962, 9952, 18497, 18599, 18600, 18498 +16753 , 9955, 9952, 9963, 9964, 18499, 18498, 18512, 18513 +16754 , 9952, 9962, 9965, 9963, 18498, 18600, 18609, 18512 +16755 , 9835, 9955, 9964, 9836, 18501, 18499, 18513, 18526 +16756 , 15049, 16218, 16221, 15067, 15462, 16276, 16279, 15477 +16757 , 9956, 9842, 9843, 9966, 18504, 18503, 18527, 18516 +16758 , 9957, 9956, 9966, 9967, 18505, 18504, 18516, 18517 +16759 , 9958, 9957, 9967, 9968, 18506, 18505, 18517, 18518 +16760 , 9961, 9958, 9968, 9969, 18601, 18506, 18518, 18611 +16761 , 18520, 18519, 18507, 18508, 18605, 18604, 18602, 18603 +16762 , 18508, 18507, 18493, 18494, 18603, 18602, 18595, 18596 +16763 , 18519, 18518, 18506, 18507, 18604, 18611, 18601, 18602 +16764 , 18507, 18506, 18492, 18493, 18602, 18601, 18594, 18595 +16765 , 18521, 18520, 18508, 18509, 18606, 18605, 18603, 18597 +16766 , 18522, 18521, 18509, 18510, 18608, 18606, 18597, 18598 +16767 , 18523, 18522, 18510, 18511, 18610, 18608, 18598, 18607 +16768 , 18512, 18511, 18497, 18498, 18609, 18607, 18599, 18600 +16769 , 18524, 18523, 18511, 18512, 18615, 18610, 18607, 18609 +16770 , 9964, 9963, 9970, 9971, 18513, 18512, 18524, 18525 +16771 , 9963, 9965, 9972, 9970, 18512, 18609, 18615, 18524 +16772 , 9836, 9964, 9971, 9845, 18526, 18513, 18525, 18538 +16773 , 9966, 9843, 9850, 9973, 18516, 18527, 18539, 18528 +16774 , 9967, 9966, 9973, 9974, 18517, 18516, 18528, 18529 +16775 , 9968, 9967, 9974, 9975, 18518, 18517, 18529, 18530 +16776 , 9969, 9968, 9975, 9976, 18611, 18518, 18530, 18616 +16777 , 18532, 18531, 18519, 18520, 18613, 18612, 18604, 18605 +16778 , 18531, 18530, 18518, 18519, 18612, 18616, 18611, 18604 +16779 , 18533, 18532, 18520, 18521, 18614, 18613, 18605, 18606 +16780 , 18534, 18533, 18521, 18522, 18617, 18614, 18606, 18608 +16781 , 15067, 16221, 16224, 15084, 15477, 16279, 16282, 15481 +16782 , 9977, 9978, 9979, 9980, 18523, 18522, 18534, 18535 +16783 , 9981, 9978, 9977, 9982, 18608, 18522, 18523, 18610 +16784 , 9978, 9981, 9983, 9979, 18522, 18608, 18617, 18534 +16785 , 9970, 9977, 9980, 9984, 18524, 18523, 18535, 18536 +16786 , 9982, 9977, 9970, 9972, 18610, 18523, 18524, 18615 +16787 , 9971, 9970, 9984, 9985, 18525, 18524, 18536, 18537 +16788 , 9845, 9971, 9985, 9852, 18538, 18525, 18537, 18549 +16789 , 9973, 9850, 9856, 9861, 18528, 18539, 18551, 18540 +16790 , 9974, 9973, 9861, 9863, 18529, 18528, 18540, 18541 +16791 , 9975, 9974, 9863, 9986, 18530, 18529, 18541, 18542 +16792 , 9987, 9975, 9986, 9988, 18531, 18530, 18542, 18543 +16793 , 9976, 9975, 9987, 9989, 18616, 18530, 18531, 18612 +16794 , 9990, 9987, 9988, 9991, 18532, 18531, 18543, 18544 +16795 , 9989, 9987, 9990, 9992, 18612, 18531, 18532, 18613 +16796 , 9993, 9990, 9991, 9994, 18533, 18532, 18544, 18545 +16797 , 9992, 9990, 9993, 9995, 18613, 18532, 18533, 18614 +16798 , 9979, 9993, 9994, 9996, 18534, 18533, 18545, 18546 +16799 , 9995, 9993, 9979, 9983, 18614, 18533, 18534, 18617 +16800 , 9980, 9979, 9996, 9997, 18535, 18534, 18546, 18547 +16801 , 9984, 9980, 9997, 9998, 18536, 18535, 18547, 18548 +16802 , 9985, 9984, 9998, 9866, 18537, 18536, 18548, 18550 +16803 , 9852, 9985, 9866, 9858, 18549, 18537, 18550, 18559 +16804 , 9986, 9863, 9864, 9868, 18542, 18541, 18560, 18552 +16805 , 9988, 9986, 9868, 9869, 18543, 18542, 18552, 18553 +16806 , 15084, 16224, 16227, 15105, 15481, 16282, 16285, 15484 +16807 , 15483, 15399, 15482, 12261, 15686, 15677, 15619, 15608 +16808 , 9991, 9988, 9869, 9870, 18544, 18543, 18553, 18554 +16809 , 15677, 15686, 15483, 15399, 15689, 15695, 13251, 13225 +16810 , 9994, 9991, 9870, 9873, 18545, 18544, 18554, 18555 +16811 , 9996, 9994, 9873, 9876, 18546, 18545, 18555, 18556 +16812 , 9997, 9996, 9876, 9877, 18547, 18546, 18556, 18557 +16813 , 9998, 9997, 9877, 9878, 18548, 18547, 18557, 18558 +16814 , 9866, 9998, 9878, 9867, 18550, 18548, 18558, 18561 +16815 , 15613, 8630, 7607, 15254, 15616, 8638, 8473, 15400 +16816 , 9901, 9900, 9902, 9999, 18563, 18562, 18568, 18569 +16817 , 9903, 9901, 9999, 10000, 18564, 18563, 18569, 18570 +16818 , 9904, 9903, 10000, 9907, 18565, 18564, 18570, 18573 +16819 , 15105, 16227, 16230, 15125, 15484, 16285, 16288, 15485 +16820 , 9912, 9911, 9913, 10001, 18567, 18566, 18575, 18576 +16821 , 9902, 9912, 10001, 10002, 18568, 18567, 18576, 18577 +16822 , 9999, 9902, 10002, 10003, 18569, 18568, 18577, 18571 +16823 , 10000, 9999, 10003, 10004, 18570, 18569, 18571, 18572 +16824 , 9907, 10000, 10004, 10005, 18573, 18570, 18572, 18581 +16825 , 9914, 9907, 10005, 9917, 18574, 18573, 18581, 18584 +16826 , 10001, 9913, 9923, 9934, 18576, 18575, 18585, 18578 +16827 , 10002, 10001, 9934, 9937, 18577, 18576, 18578, 18579 +16828 , 10003, 10002, 9937, 10006, 18571, 18577, 18579, 18580 +16829 , 10004, 10003, 10006, 10007, 18572, 18571, 18580, 18582 +16830 , 10005, 10004, 10007, 10008, 18581, 18572, 18582, 18583 +16831 , 9917, 10005, 10008, 9926, 18584, 18581, 18583, 18588 +16832 , 10006, 9937, 9938, 10009, 18580, 18579, 18590, 18586 +16833 , 10007, 10006, 10009, 10010, 18582, 18580, 18586, 18587 +16834 , 10008, 10007, 10010, 9953, 18583, 18582, 18587, 18589 +16835 , 15125, 16230, 16233, 15142, 15485, 16288, 16291, 15486 +16836 , 9926, 10008, 9953, 9941, 18588, 18583, 18589, 18593 +16837 , 10009, 9938, 9949, 10011, 18586, 18590, 18596, 18591 +16838 , 10010, 10009, 10011, 10012, 18587, 18586, 18591, 18592 +16839 , 9953, 10010, 10012, 9954, 18589, 18587, 18592, 18599 +16840 , 9960, 9959, 9961, 10013, 18595, 18594, 18601, 18602 +16841 , 9949, 9960, 10013, 10014, 18596, 18595, 18602, 18603 +16842 , 10011, 9949, 10014, 10015, 18591, 18596, 18603, 18597 +16843 , 10012, 10011, 10015, 10016, 18592, 18591, 18597, 18598 +16844 , 9954, 10012, 10016, 10017, 18599, 18592, 18598, 18607 +16845 , 9962, 9954, 10017, 9965, 18600, 18599, 18607, 18609 +16846 , 10013, 9961, 9969, 10018, 18602, 18601, 18611, 18604 +16847 , 10014, 10013, 10018, 10019, 18603, 18602, 18604, 18605 +16848 , 10015, 10014, 10019, 10020, 18597, 18603, 18605, 18606 +16849 , 10016, 10015, 10020, 9981, 18598, 18597, 18606, 18608 +16850 , 10017, 10016, 9981, 9982, 18607, 18598, 18608, 18610 +16851 , 9965, 10017, 9982, 9972, 18609, 18607, 18610, 18615 +16852 , 15142, 16233, 16236, 15159, 15486, 16291, 16294, 15487 +16853 , 10018, 9969, 9976, 9989, 18604, 18611, 18616, 18612 +16854 , 10019, 10018, 9989, 9992, 18605, 18604, 18612, 18613 +16855 , 10020, 10019, 9992, 9995, 18606, 18605, 18613, 18614 +16856 , 9981, 10020, 9995, 9983, 18608, 18606, 18614, 18617 +16857 , 15159, 16236, 16239, 15178, 15487, 16294, 16297, 15492 +16858 , 15619, 15616, 15400, 15482, 8634, 8638, 8473, 7044 +16859 , 12261, 15608, 15624, 12935, 15483, 15686, 15692, 15488 +16860 , 12935, 15624, 15628, 13285, 15488, 15692, 15699, 15489 +16861 , 13285, 15628, 15631, 13437, 15489, 15699, 15705, 15490 +16862 , 13437, 15631, 15634, 13613, 15490, 15705, 15622, 15491 +16863 , 13613, 15634, 15637, 13683, 15491, 15622, 15595, 12246 +16864 , 13683, 15637, 15641, 13897, 12246, 15595, 15600, 12295 +16865 , 13897, 15641, 15644, 14007, 12295, 15600, 15670, 12383 +16866 , 15178, 16239, 16241, 15198, 15492, 16297, 16300, 15495 +16867 , 14007, 15644, 15648, 14173, 12383, 15670, 15722, 12454 +16868 , 14173, 15648, 15650, 14322, 12454, 15722, 15726, 12525 +16869 , 15726, 15722, 15648, 15650, 15649, 15646, 15642, 15645 +16870 , 14477, 15654, 15658, 14639, 12950, 15741, 15754, 12990 +16871 , 15754, 15741, 15654, 15658, 15656, 15653, 15651, 15652 +16872 , 14639, 15658, 15661, 14776, 12990, 15754, 15749, 13020 +16873 , 14776, 15661, 15663, 14962, 13020, 15749, 15750, 13081 +16874 , 12599, 15730, 15726, 12525, 8486, 8691, 8672, 7739 +16875 , 15493, 15732, 15730, 12599, 7158, 8695, 8691, 8486 +16876 , 15198, 16241, 16302, 15494, 15495, 16300, 16358, 15498 +16877 , 12900, 15739, 15737, 15496, 8494, 8703, 8702, 7181 +16878 , 12950, 15741, 15739, 12900, 7842, 8679, 8703, 8494 +16879 , 16302, 16244, 15199, 15494, 16305, 16247, 15235, 15497 +16880 , 15494, 16302, 16305, 15497, 15498, 16358, 16364, 15501 +16881 , 16305, 16302, 16244, 16247, 16246, 16242, 16169, 16245 +16882 , 14287, 16084, 16086, 14296, 14726, 16174, 16178, 14748 +16883 , 16305, 8768, 8164, 15497, 16364, 8778, 8474, 15501 +16884 , 16250, 16179, 15252, 15248, 16308, 16315, 15500, 15499 +16885 , 16315, 16308, 16250, 16179, 16251, 16248, 16172, 16175 +16886 , 16368, 15502, 15499, 16308, 8782, 8475, 8170, 8773 +16887 , 15499, 15502, 16368, 16308, 15500, 15505, 16372, 16315 +16888 , 16364, 16424, 15503, 15501, 16358, 16363, 15507, 15498 +16889 , 15503, 16424, 16364, 15501, 8476, 8785, 8778, 8474 +16890 , 16427, 15504, 15502, 16368, 8788, 8477, 8475, 8782 +16891 , 15502, 15504, 16427, 16368, 15505, 15509, 16374, 16372 +16892 , 16424, 16480, 15506, 15503, 16363, 16422, 15511, 15507 +16893 , 15506, 16480, 16424, 15503, 8478, 8791, 8785, 8476 +16894 , 15504, 15508, 16481, 16427, 15509, 15512, 16484, 16374 +16895 , 16481, 15508, 15504, 16427, 8796, 8479, 8477, 8788 +16896 , 16484, 16481, 16427, 16374, 16428, 16425, 16366, 16369 +16897 , 16480, 16532, 15510, 15506, 16422, 16478, 15517, 15511 +16898 , 15510, 16532, 16480, 15506, 8487, 8800, 8791, 8478 +16899 , 16484, 15512, 15508, 16481, 8801, 8488, 8479, 8796 +16900 , 15512, 15513, 16534, 16484, 15514, 15518, 16487, 16432 +16901 , 16534, 15513, 15512, 16484, 8804, 8489, 8488, 8801 +16902 , 16484, 16374, 15509, 15512, 16432, 16377, 15558, 15514 +16903 , 10427, 10925, 10928, 10983, 8810, 8484, 8490, 8809 +16904 , 10983, 16545, 15515, 10928, 10989, 16506, 15526, 10951 +16905 , 15515, 16545, 10983, 10928, 8491, 8811, 8809, 8490 +16906 , 10427, 10270, 10310, 10983, 10268, 10265, 10262, 10884 +16907 , 15500, 16315, 16255, 15255, 15505, 16372, 16314, 15529 +16908 , 15686, 15692, 15488, 15483, 15695, 15701, 13277, 13251 +16909 , 16532, 16565, 15516, 15510, 16478, 16530, 15528, 15517 +16910 , 15516, 16565, 16532, 15510, 8495, 8821, 8800, 8487 +16911 , 16487, 15518, 15513, 16534, 8824, 8496, 8489, 8804 +16912 , 15518, 15519, 16490, 16487, 15514, 15521, 16435, 16432 +16913 , 16490, 15519, 15518, 16487, 8827, 8497, 8496, 8824 +16914 , 15519, 15520, 16494, 16490, 15521, 15523, 16438, 16435 +16915 , 16494, 15520, 15519, 16490, 8830, 8498, 8497, 8827 +16916 , 15520, 15522, 16566, 16494, 15524, 15530, 16568, 16497 +16917 , 16566, 15522, 15520, 16494, 8835, 8499, 8498, 8830 +16918 , 16494, 16438, 15523, 15520, 16497, 16441, 15571, 15524 +16919 , 16568, 16566, 16494, 16497, 16536, 16535, 16489, 16492 +16920 , 16545, 16570, 15525, 15515, 16506, 16546, 15534, 15526 +16921 , 15525, 16570, 16545, 15515, 8500, 8841, 8811, 8491 +16922 , 15516, 16565, 16581, 15527, 15528, 16530, 16562, 15536 +16923 , 16581, 16565, 15516, 15527, 8852, 8821, 8495, 8503 +16924 , 15255, 16255, 16258, 15261, 15529, 16314, 16318, 15539 +16925 , 16568, 15530, 15522, 16566, 8853, 8504, 8499, 8835 +16926 , 15530, 15531, 16539, 16568, 15524, 15533, 16500, 16497 +16927 , 16539, 15531, 15530, 16568, 8856, 8505, 8504, 8853 +16928 , 15531, 15532, 16543, 16539, 15533, 15535, 16503, 16500 +16929 , 16543, 15532, 15531, 16539, 8859, 8506, 8505, 8856 +16930 , 15532, 15534, 16546, 16543, 15535, 15526, 16506, 16503 +16931 , 16546, 15534, 15532, 16543, 8862, 8507, 8506, 8859 +16932 , 16570, 15525, 15534, 16546, 8841, 8500, 8507, 8862 +16933 , 16562, 16581, 15527, 15536, 10025, 8852, 8503, 8512 +16934 , 15536, 16562, 16582, 15537, 15538, 16560, 16580, 15541 +16935 , 16582, 16562, 15536, 15537, 8884, 10025, 8512, 8513 +16936 , 15528, 16530, 16562, 15536, 15586, 16527, 16560, 15538 +16937 , 16562, 16582, 16594, 16581, 10025, 8884, 8874, 8852 +16938 , 15261, 16258, 16261, 15282, 15539, 16318, 16321, 15546 +16939 , 15537, 16582, 16598, 15540, 15541, 16580, 16592, 15543 +16940 , 16598, 16582, 15537, 15540, 8887, 8884, 8513, 8516 +16941 , 15540, 16598, 16603, 15542, 15543, 16592, 16599, 15544 +16942 , 16603, 16598, 15540, 15542, 8895, 8887, 8516, 8518 +16943 , 16599, 16603, 15542, 15544, 8903, 8895, 8518, 8520 +16944 , 15544, 16599, 16605, 15545, 11777, 11906, 12232, 11720 +16945 , 16605, 16599, 15544, 15545, 8906, 8903, 8520, 8521 +16946 , 15543, 16592, 16599, 15544, 11772, 12237, 11906, 11777 +16947 , 15282, 16261, 16264, 15296, 15546, 16321, 16324, 15547 +16948 , 12232, 16605, 15545, 11720, 8916, 8906, 8521, 8523 +16949 , 15296, 16264, 16267, 15311, 15547, 16324, 16327, 15548 +16950 , 15311, 16267, 10981, 10930, 15548, 16327, 10985, 10940 +16951 , 15692, 15699, 15489, 15488, 15701, 15707, 13296, 13277 +16952 , 10962, 10993, 16273, 15452, 10945, 10968, 10987, 10960 +16953 , 15452, 16273, 16276, 15462, 10960, 10987, 16334, 15549 +16954 , 15462, 16276, 16279, 15477, 15549, 16334, 16337, 15550 +16955 , 15477, 16279, 16282, 15481, 15550, 16337, 16340, 15551 +16956 , 15699, 15705, 15490, 15489, 15707, 15711, 13308, 13296 +16957 , 15481, 16282, 16285, 15484, 15551, 16340, 16343, 15552 +16958 , 15484, 16285, 16288, 15485, 15552, 16343, 16346, 15553 +16959 , 15485, 16288, 16291, 15486, 15553, 16346, 16349, 15554 +16960 , 15486, 16291, 16294, 15487, 15554, 16349, 16352, 15555 +16961 , 15487, 16294, 16297, 15492, 15555, 16352, 16355, 15556 +16962 , 15492, 16297, 16300, 15495, 15556, 16355, 16360, 15557 +16963 , 15495, 16300, 16358, 15498, 15557, 16360, 16363, 15507 +16964 , 15705, 15622, 15491, 15490, 15711, 15596, 12248, 13308 +16965 , 15505, 16372, 16314, 15529, 15509, 16374, 16377, 15558 +16966 , 15529, 16314, 16318, 15539, 15558, 16377, 16380, 15559 +16967 , 15539, 16318, 16321, 15546, 15559, 16380, 16383, 15560 +16968 , 15546, 16321, 16324, 15547, 15560, 16383, 16386, 15561 +16969 , 15547, 16324, 16327, 15548, 15561, 16386, 16389, 15562 +16970 , 15548, 16327, 10985, 10940, 15562, 16389, 10988, 10949 +16971 , 17551, 17862, 17861, 17550, 17863, 17868, 17867, 17854 +16972 , 17868, 17867, 17854, 17863, 18159, 18158, 18142, 18143 +16973 , 10960, 10987, 16334, 15549, 10953, 10971, 10991, 10959 +16974 , 15549, 16334, 16337, 15550, 10959, 10991, 16398, 15563 +16975 , 15550, 16337, 16340, 15551, 15563, 16398, 16401, 15564 +16976 , 15551, 16340, 16343, 15552, 15564, 16401, 16404, 15565 +16977 , 15552, 16343, 16346, 15553, 15565, 16404, 16407, 15566 +16978 , 15553, 16346, 16349, 15554, 15566, 16407, 16410, 15567 +16979 , 15554, 16349, 16352, 15555, 15567, 16410, 16413, 15568 +16980 , 15555, 16352, 16355, 15556, 15568, 16413, 16416, 15569 +16981 , 15556, 16355, 16360, 15557, 15569, 16416, 16419, 15570 +16982 , 15557, 16360, 16363, 15507, 15570, 16419, 16422, 15511 +16983 , 15558, 16377, 16380, 15559, 15514, 16432, 16435, 15521 +16984 , 15559, 16380, 16383, 15560, 15521, 16435, 16438, 15523 +16985 , 15560, 16383, 16386, 15561, 15523, 16438, 16441, 15571 +16986 , 15561, 16386, 16389, 15562, 15571, 16441, 16444, 15572 +16987 , 15562, 16389, 10988, 10949, 15572, 16444, 16447, 15573 +16988 , 16447, 10988, 10949, 15573, 10989, 10986, 10942, 10951 +16989 , 10959, 10991, 16398, 15563, 10958, 10990, 16454, 15574 +16990 , 15563, 16398, 16401, 15564, 15574, 16454, 16457, 15575 +16991 , 15564, 16401, 16404, 15565, 15575, 16457, 16460, 15576 +16992 , 15565, 16404, 16407, 15566, 15576, 16460, 16463, 15577 +16993 , 15566, 16407, 16410, 15567, 15577, 16463, 16466, 15578 +16994 , 15567, 16410, 16413, 15568, 15578, 16466, 16469, 15579 +16995 , 15568, 16413, 16416, 15569, 15579, 16469, 16472, 15580 +16996 , 15569, 16416, 16419, 15570, 15580, 16472, 16475, 15581 +16997 , 15570, 16419, 16422, 15511, 15581, 16475, 16478, 15517 +16998 , 15571, 16441, 16444, 15572, 15524, 16497, 16500, 15533 +16999 , 15572, 16444, 16447, 15573, 15533, 16500, 16503, 15535 +17000 , 15573, 16447, 10989, 10951, 15535, 16503, 16506, 15526 +17001 , 10958, 10990, 16454, 15574, 11782, 11791, 11794, 11740 +17002 , 15574, 16454, 16457, 15575, 11740, 11794, 11799, 11742 +17003 , 15575, 16457, 16460, 15576, 11742, 11799, 12234, 11781 +17004 , 15576, 16460, 16463, 15577, 11781, 12234, 16515, 15582 +17005 , 15577, 16463, 16466, 15578, 15582, 16515, 16518, 15583 +17006 , 15578, 16466, 16469, 15579, 15583, 16518, 16521, 15584 +17007 , 15579, 16469, 16472, 15580, 15584, 16521, 16524, 15585 +17008 , 15580, 16472, 16475, 15581, 15585, 16524, 16527, 15586 +17009 , 15581, 16475, 16478, 15517, 15586, 16527, 16530, 15528 +17010 , 11781, 12234, 16515, 15582, 11748, 11818, 11827, 11751 +17011 , 15582, 16515, 16518, 15583, 11751, 11827, 12235, 11780 +17012 , 15583, 16518, 16521, 15584, 11780, 12235, 16554, 15587 +17013 , 15584, 16521, 16524, 15585, 15587, 16554, 16557, 15588 +17014 , 15585, 16524, 16527, 15586, 15588, 16557, 16560, 15538 +17015 , 11780, 12235, 16554, 15587, 11759, 11850, 12236, 11763 +17016 , 15587, 16554, 16557, 15588, 11763, 12236, 16577, 15589 +17017 , 15588, 16557, 16560, 15538, 15589, 16577, 16580, 15541 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-12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +3 8 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +4 8 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +5 8 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +6 8 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +7 8 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +8 8 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +9 8 1040 262067150.576 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 # form of file # partID (starting at 0), material ID (goes with consitutive model), ... diff --git a/src/materials/OgdenViscoelastic.cpp b/src/materials/OgdenViscoelastic.cpp index 63be355f..604a87a8 100644 --- a/src/materials/OgdenViscoelastic.cpp +++ b/src/materials/OgdenViscoelastic.cpp @@ -123,7 +123,7 @@ void OgdenViscoelastic(int e, int gp) { preFactor /= cEigenValue[i]; dyadic(&Cmat[3*i], preFactor, devS0np1); } - FILE_LOG_SINGLE(WARNING, "Trace of devS0np1 = %15.9f", devS0np1[0]+devS0np1[4]+devS0np1[8]); + // FILE_LOG_SINGLE(WARNING, "Trace of devS0np1 = %15.9f", devS0np1[0]+devS0np1[4]+devS0np1[8]); // Access histroy dependence double *Sdev = mat4; @@ -161,7 +161,7 @@ void OgdenViscoelastic(int e, int gp) { // Compute deviatoric part of sigmaTilde and add the isochoric part to obtain // sigma - FILE_LOG_SINGLE(WARNING, "Trace of sigma = %15.9f", sigma[0]+sigma[4]+sigma[8]); + // FILE_LOG_SINGLE(WARNING, "Trace of sigma = %15.9f", sigma[0]+sigma[4]+sigma[8]); const double volum = invJ*K*(J-1.0); // Compute sigma double* sigma_e = sigma; From 72d30b2eda71005320059b9a9ee81b6a2edbe5ef Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 7 Oct 2021 08:35:21 +0530 Subject: [PATCH 066/106] Removed ex5update file --- examples/ex5/ex5update.cpp | 1764 ------------------------------------ 1 file changed, 1764 deletions(-) delete mode 100644 examples/ex5/ex5update.cpp diff --git a/examples/ex5/ex5update.cpp b/examples/ex5/ex5update.cpp deleted file mode 100644 index 022c116d..00000000 --- a/examples/ex5/ex5update.cpp +++ /dev/null @@ -1,1764 +0,0 @@ -#include "FemTech.h" -#include "jsonfuncs.h" -#include "utilities.h" -#include "gitbranch.h" - -#include "json/writer.h" - -#include -#include // For JSON output -#include -#include -#include // For JSON output unique pointer -#include - -#include - -using namespace std; -using namespace boost::numeric::odeint; - -/*Declare Functions*/ -void CustomPlot(); -void InitCustomPlot(const Json::Value &jsonInput); -double InitBoundaryCondition(const Json::Value &jsonInput); -void InitInjuryCriteria(void); -void updateBoundaryNeighbour(void); -void ApplyAccBoundaryConditions(); -int getImpactID(std::string location); -void WriteOutputFile(); -void CalculateInjuryCriteria(void); -void TransformMesh(const Json::Value &jsonInput); -void WriteMPS(void); - -/* Global Variables/Parameters */ -double Time = 0.0, dt; -int nSteps; -bool ImplicitStatic = false; -bool ImplicitDynamic = false; -bool ExplicitDynamic = true; - -double dynamicDamping = 0.000; -double ExplicitTimeStepReduction = 0.8; -double FailureTimeStep = 1e-8; // Set for max runtime of around 5 hrs on aws -double MaxTimeStep = 1e-5; -int nPlotSteps = 50; -int nWriteSteps = 100; - -/* Global variables used only in this file */ -int nodeIDtoPlot; -bool rankForCustomPlot; -bool outputRelativeDisplacement = true; -/* Global variables for bc */ -int *boundaryID = NULL; -int boundarySize; -double peakTime, tMax; -bool writeField = true; -bool computeInjuryFlag = true; -/* Global variables for output */ -int *outputNodeList; -int outputNodeCount = 0; -int *outputElemList; -int outputElemCount = 0; -MPI_Comm output_comm; -MPI_File outputFilePtr; -int output_size, output_rank; -double *outputNodeRigidDisp; -double *outputElemStress; - -/* Variables for injury metrics */ -/* Variables to compute maximum quatities over time and space */ -/* 0. Maximum principal strain, 1. Maximum principal shear, - * 2. Maximum principal strain times strain rate - * 3. Minimum principal strain - * */ -const int maxQuantities = 4; -const std::string maxOutput[maxQuantities] = { - "principal-max-strain", "maximum-shear-strain", "maximum-PSxSR", - "principal-min-strain"}; -const MPI_Op outputOperator[maxQuantities] = {MPI_MAXLOC, MPI_MAXLOC, - MPI_MAXLOC, MPI_MINLOC}; - -double maxValue[maxQuantities], maxTime[maxQuantities]; -int maxElem[maxQuantities]; - -/* Percentile variables */ -/* 0. MPS - 95 Percentile - * 1. MPSxSR - 95 Percentile - */ -const int percentileQuantities = 2; -int *percentileElements[percentileQuantities]; -double percentileTime[percentileQuantities]; -double percentileValue[percentileQuantities]; -const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95"}; -/* Threshold variables */ -/* 0. MPS > 5 - * 1. MPS > 10 - * 2. MPS > 15 - * 3. MPS > 30 - * 4. MPSR > 120 1/s - * 5. MPSxSR > 28 1/s - */ -const int threshQuantities = 6; -int *thresholdElements[threshQuantities]; -const std::string thresholdTag[threshQuantities] = { - "CSDM-5", "CSDM-10", "CSDM-15", "CSDM-30", "MPSR-120", "MPSxSR-28"}; - -/* Variables for maximum Principal Strain times Strain Rate */ -double *PS_Old = NULL; -double *PSxSRArray = NULL; -/* Store MPS, volume of each element */ -double *elementMPS = NULL; -double *initialVolume = NULL; - -int nElementsInjury = 0, *elementIDInjury = NULL; -// part ID to exclude from injury computation -// 0 : Skull, 1 : CSF -const int injuryExcludePIDCount = 2; -const int injuryExcludePID[injuryExcludePIDCount] = {0, 1}; - -// Variables to write injury criterion to Paraview output -const int outputCount = 7; -int *outputDataArray[outputCount]; -const char *outputNames[outputCount] = {"CSDM-5", "CSDM-10", "CSDM-15", - "CSDM-30", "MPSR-120", "MPSxSR-28", - "MPS-95"}; -const int outputDoubleCount = 1; -double *outputDoubleArray[outputDoubleCount]; -const char *outputDoubleNames[outputDoubleCount] = {"MPS-95-Value"}; - -const int csdmCount = 4; -const double csdmLimits[csdmCount] = {0.05, 0.1, 0.15, 0.3}; - -/* Variables used to store acceleration values */ -int linAccXSize, linAccYSize, linAccZSize; -int angAccXSize, angAccYSize, angAccZSize; -double *linAccXt, *linAccYt, *linAccZt; -double *linAccXv, *linAccYv, *linAccZv; -double *angAccXt, *angAccYt, *angAccZt; -double *angAccXv, *angAccYv, *angAccZv; - -/* Varibles for Local integrator */ -const int nIntVar = 12; -typedef boost::array state_type; -runge_kutta_dopri5 rk; -void computeDerivatives(const state_type &y, state_type &ydot, const double t); -state_type yInt, ydotInt; -double cm[3]; -std::string outputFileName; - -int main(int argc, char **argv) { - // Initialize FemTech including logfile and MPI - Json::Value inputJson = InitFemTech(argc, argv); - Json::Value simulationJson = inputJson["simulation"]; - - std::string meshFile = simulationJson["mesh"].asString(); - // Convert maximum time to seconds - tMax = simulationJson["maximum-time"].asDouble() / 1000.0; - if (!simulationJson["write-vtu"].empty()) { - writeField = simulationJson["write-vtu"].asBool(); - } - if (!simulationJson["compute-injury-criteria"].empty()) { - computeInjuryFlag = simulationJson["compute-injury-criteria"].asBool(); - } - FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); - // Read Input Mesh file and equally partition elements among processes - ReadInputFile(meshFile.c_str()); - size_t lastindex = meshFile.find_last_of("."); - outputFileName = meshFile.substr(0, lastindex) + "_" + uid; - // Read material properties before mesh partition to estimate - // material type kernel compute intensity - ReadMaterials(); - - PartitionMesh(); - - AllocateArrays(); - TransformMesh(simulationJson); - InitCustomPlot(simulationJson); - if (computeInjuryFlag) { - InitInjuryCriteria(); - } - - // Initial settings for BC evaluations - // Used if initial velocity and acceleration BC is to be set. - Time = InitBoundaryCondition(simulationJson); - - /* Write inital, undeformed configuration*/ - int plot_counter = 0; - if (writeField) { - if (computeInjuryFlag) { - WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, - outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, - outputDoubleCount, outputDoubleNames); - } else { - WriteVTU(outputFileName.c_str(), plot_counter); - } - WritePVD(outputFileName.c_str(), plot_counter); - } - stepTime[plot_counter] = Time; - - int time_step_counter = 0; - /** Central Difference Method - Beta and Gamma */ - // double beta = 0; - // double gamma = 0.5; - - ShapeFunctions(); - /* Step-1: Calculate the mass matrix similar to that of belytschko. */ - AssembleLumpedMass(); - // Needs to be after shapefunctions - CustomPlot(); - - /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ - dt = ExplicitTimeStepReduction * StableTimeStep(); - /* Step-2: getforce step from Belytschko */ - // In GetForce for viscoelastic material dt is required, hence we compute dt - // prior to getforce to avoid special treatment of getforce at Time = 0 - // GetForce(); // Calculating the force term. - - /* Step-3: Calculate accelerations */ - // CalculateAccelerations(); - for (int i = 0; i < nDOF; i++) { - accelerations[i] = 0.0; - } - - nSteps = (int)((tMax - Time) / dt); - int nsteps_plot = (int)(nSteps / nPlotSteps); - if (nsteps_plot == 0) { - nsteps_plot = nSteps; - } - int nsteps_write = (int)(nSteps / nWriteSteps); - if (nsteps_write == 0) { - nsteps_write = nSteps; - } - - double t_n = 0.0; - - FILE_LOG_MASTER(INFO, "---------------------------------"); - FILE_LOG_MASTER(INFO, "Tmax : %15.6e, Initial dt : %15.6e", tMax, dt); - FILE_LOG_MASTER(INFO, "nSteps = %d, nsteps_plot = %d", nSteps, nsteps_plot); - FILE_LOG_MASTER(INFO, "-------------- Loop -------------"); - - time_step_counter = time_step_counter + 1; - - - /* Step-4: Time loop starts....*/ - while (Time < tMax) { - t_n = Time; - double t_np1 = Time + dt; - double dtby2 = 0.5*dt; - double t_nphalf = t_n + dtby2; // equ 6.2.1 - - /* Step 6 Enforce boundary Conditions */ - ApplyAccBoundaryConditions(); - Time = t_np1; /*Update the time by adding full time step */ - /* Step 5 from Belytschko Box 6.1 - Update velocity */ - for (int i = 0; i < nDOF; i++) { - if (!boundary[i]) { - velocities_half[i] = velocities[i] + dtby2 * accelerations[i]; - } - } - - // Store old displacements and accelerations for energy computation - memcpy(displacements_prev, displacements, nDOF * sizeof(double)); - memcpy(accelerations_prev, accelerations, nDOF * sizeof(double)); - // Store internal external force from previous step to compute energy - memcpy(fi_prev, fi, nDOF * sizeof(double)); - memcpy(fe_prev, fe, nDOF * sizeof(double)); - - // update displacements for all nodes, including where velocity bc is set - for (int i = 0; i < nDOF; i++) { - displacements[i] = displacements[i] + dt * velocities_half[i]; - } - - /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ - GetForce(); // Calculating the force term. - /* Step - 9 from Belytschko Box 6.1 - Calculate Accelerations */ - CalculateAccelerations(); // Calculating the new accelerations from total - // nodal forces. - - /** Step- 10 - Second Partial Update of Nodal Velocities */ - for (int i = 0; i < nDOF; i++) { - velocities[i] = velocities_half[i] + dtby2 * accelerations[i]; - } - - /** Step - 11 Checking* Energy Balance */ - int writeFlag = time_step_counter % nsteps_plot; - int writeFileFlag = time_step_counter % nsteps_write; - CheckEnergy(Time, writeFlag); - - if (computeInjuryFlag) { - CalculateInjuryCriteria(); - } - if (writeFileFlag == 0) { - CustomPlot(); - } - if (writeFlag == 0) { - FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, - tMax); - plot_counter = plot_counter + 1; - - if (plot_counter < MAXPLOTSTEPS) { - stepTime[plot_counter] = Time; - if (writeField) { - FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); - if (computeInjuryFlag) { - WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, - outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, - outputDoubleCount, outputDoubleNames); - } else { - WriteVTU(outputFileName.c_str(), plot_counter); - } - WritePVD(outputFileName.c_str(), plot_counter); - } - } - FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, - "Displacement Solution"); - } - time_step_counter = time_step_counter + 1; - dt = ExplicitTimeStepReduction * StableTimeStep(); - FILE_LOG_MASTER(INFO, "dt = %15.6e, Time = %15.6e", dt, Time); - - // Barrier not a must - MPI_Barrier(MPI_COMM_WORLD); - } // end explcit while loop - // Write output if last step results not written - int writeFileFlag = (time_step_counter - 1) % nsteps_write; - if (writeFileFlag != 0) { - CustomPlot(); - } - FILE_LOG_MASTER(INFO, "End of Iterative Loop"); - FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, - "Final Displacement Solution"); - - WriteOutputFile(); - if (computeInjuryFlag) { - WriteMPS(); - } - - // Free local boundary condition related arrays - free1DArray(boundaryID); - free1DArray(linAccXt); - free1DArray(linAccYt); - free1DArray(linAccZt); - free1DArray(linAccXv); - free1DArray(linAccYv); - free1DArray(linAccZv); - free1DArray(angAccXt); - free1DArray(angAccYt); - free1DArray(angAccZt); - free1DArray(angAccXv); - free1DArray(angAccYv); - free1DArray(angAccZv); - free1DArray(outputNodeList); - free1DArray(outputElemList); - free1DArray(outputNodeRigidDisp); - // Free variables used for injury criteria - free1DArray(PS_Old); - free1DArray(elementIDInjury); - free1DArray(PSxSRArray); - for (int i = 0; i < threshQuantities; ++i) { - free1DArray(thresholdElements[i]); - } - for (int i = 0; i < percentileQuantities; ++i) { - free1DArray(percentileElements[i]); - } - free1DArray(elementMPS); - free1DArray(initialVolume); - - if (rankForCustomPlot) { - MPI_File_close(&outputFilePtr); - } - FinalizeFemTech(); - return 0; -} - -void ApplyAccBoundaryConditions() { - double r[4], R[4], Rinv[4], V[4], Vp[4]; // quaternions - // double omegaR[3], omega[3], omegaOmegaR[3], omegaVel[3], vel[3]; // vectors - // double alpha[3], alphaR[3], locV[3]; - double omegaR[3], omega[3]; // vectors - double locV[3]; - - // Update to half time step to compute velocity - // rk.do_step(computeDerivatives, yInt, ydotInt, Time, 0.5*dt); - rk.do_step(computeDerivatives, yInt, Time, 0.5*dt); - r[0] = 0.0; - r[1] = yInt[3]; - r[2] = yInt[4]; - r[3] = yInt[5]; - quaternionExp(r, R); // R = exp(r) - quaternionInverse(R, Rinv); - omega[0] = yInt[0]; - omega[1] = yInt[1]; - omega[2] = yInt[2]; - // alpha[0] = ydotInt[0]; - // alpha[1] = ydotInt[1]; - // alpha[2] = ydotInt[2]; - // vel[0] = yInt[6]; - // vel[1] = yInt[7]; - // vel[2] = yInt[8]; - - for (int i = 0; i < boundarySize; i++) { - int index = boundaryID[i] * ndim; - for (int j = 0; j < ndim; ++j) { - locV[j] = coordinates[index + j]; - } - V[0] = 0.0; - V[1] = locV[0]; - V[2] = locV[1]; - V[3] = locV[2]; - quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} - crossProduct(omega, &(Vp[1]), omegaR); - // crossProduct(omega, omegaR, omegaOmegaR); - // crossProduct(omega, vel, omegaVel); - // crossProduct(alpha, &(Vp[1]), alphaR); - for (int j = 0; j < ndim; ++j) { - // Displacement - // displacements[index + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; - // Velocity - velocities_half[index + j] = omegaR[j] + yInt[6 + j]; - // Acceleration - // accelerations[index + j] = - // 2.0 * omegaVel[j] + omegaOmegaR[j] + ydotInt[6 + j] + alphaR[j]; - } - } - // Move to full time step - rk.do_step(computeDerivatives, yInt, Time+0.5*dt, 0.5*dt); - // Rotate points to plot to obtain their rigid displacements - if (rankForCustomPlot) { - r[0] = 0.0; - r[1] = yInt[3]; - r[2] = yInt[4]; - r[3] = yInt[5]; - quaternionExp(r, R); // R = exp(r) - quaternionInverse(R, Rinv); - for (int i = 0; i < outputNodeCount; i++) { - int index = outputNodeList[i] * ndim; - int index1 = i * ndim; - for (int j = 0; j < ndim; ++j) { - locV[j] = coordinates[index + j]; - } - V[0] = 0.0; - V[1] = locV[0]; - V[2] = locV[1]; - V[3] = locV[2]; - quaternionRotate(V, R, Rinv, Vp); // Vp = RVR^{-1} - for (int j = 0; j < ndim; ++j) { - // Displacement - outputNodeRigidDisp[index1 + j] = Vp[j + 1] - locV[j] + yInt[9 + j]; - } - } - } - return; -} - -void InitCustomPlot(const Json::Value &jsonInput) { - rankForCustomPlot = false; - if (!jsonInput["output-nodes"].empty()) { - int outputSize = jsonInput["output-nodes"].size(); - int *outputNodes = (int *)malloc(outputSize * sizeof(int)); - int *outputLocalNodes = (int *)malloc(outputSize * sizeof(int)); - int *containsNode = (int *)calloc(outputSize, sizeof(int)); - int *containsNodeCum = (int *)calloc(outputSize, sizeof(int)); - // Store input node list to array - jsonToArrayInt(outputNodes, jsonInput["output-nodes"]); - - // Check if node is present in the current process - for (int i = 0; i < outputSize; ++i) { - int nodeItem = outputNodes[i]; - for (int j = 0; j < nNodes; ++j) { - if (globalNodeID[j] == nodeItem) { - containsNode[i] = 1; - outputLocalNodes[i] = j; - break; - } - } - } - // If multiple procs have same node use the lowest rank - MPI_Scan(containsNode, containsNodeCum, outputSize, MPI_INT, MPI_SUM, - MPI_COMM_WORLD); - for (int i = 0; i < outputSize; ++i) { - if (containsNode[i] == 1 && containsNodeCum[i] == 1) { - outputNodeCount = outputNodeCount + 1; - } - } - outputNodeList = (int *)malloc(outputNodeCount * sizeof(int)); - int currentIndex = 0; - for (int i = 0; i < outputSize; ++i) { - if (containsNode[i] == 1 && containsNodeCum[i] == 1) { - outputNodeList[currentIndex] = outputLocalNodes[i]; - currentIndex = currentIndex + 1; - } - } - assert(currentIndex == outputNodeCount); - if (outputNodeCount > 0) { - rankForCustomPlot = true; - } - free(outputNodes); - free(outputLocalNodes); - free(containsNode); - free(containsNodeCum); - for (int i = 0; i < outputNodeCount; ++i) { - int nodeL = outputNodeList[i]; - FILE_LOG_SINGLE(INFO, "Node ID : %d (%15.9e, %15.9e, %15.9e)", - globalNodeID[nodeL], coordinates[nodeL * ndim], - coordinates[nodeL * ndim + 1], - coordinates[nodeL * ndim + 2]); - } - } - if (!jsonInput["output-elements"].empty()) { - int outputSize = jsonInput["output-elements"].size(); - int *outputElements = (int *)malloc(outputSize * sizeof(int)); - int *outputLocalElements = (int *)malloc(outputSize * sizeof(int)); - int *containsElement = (int *)calloc(outputSize, sizeof(int)); - // Store input node list to array - jsonToArrayInt(outputElements, jsonInput["output-elements"]); - - // Check if element is present in the current process - // TODO : Used the fact that global element ID is sorted and use binary - // search - for (int i = 0; i < outputSize; ++i) { - int elemItem = outputElements[i]; - for (int j = 0; j < nelements; ++j) { - if (global_eid[j] == elemItem) { - containsElement[i] = 1; - outputLocalElements[i] = j; - outputElemCount = outputElemCount + 1; - break; - } - } - } - if (outputElemCount > 0) { - rankForCustomPlot = true; - outputElemList = (int *)malloc(sizeof(int) * outputElemCount); - int currentIndex = 0; - for (int i = 0; i < outputSize; ++i) { - if (containsElement[i]) { - outputElemList[currentIndex] = outputLocalElements[i]; - currentIndex = currentIndex + 1; - } - } - assert(currentIndex == outputElemCount); - } - free(outputElements); - free(outputLocalElements); - free(containsElement); - } - // Create communicator with process with output nodes - if (rankForCustomPlot) { - int color = 1; - MPI_Comm_split(MPI_COMM_WORLD, color, world_rank, &output_comm); - } else { - MPI_Comm_split(MPI_COMM_WORLD, MPI_UNDEFINED, world_rank, &output_comm); - } - if (rankForCustomPlot) { - // Get the number of processes in output communicator - MPI_Comm_size(output_comm, &output_size); - // Get the rank of the process in output communicator - MPI_Comm_rank(output_comm, &output_rank); - // Open output file and write header - std::string outFileStr = "plot_" + uid + ".dat"; - MPI_Info infoin; - MPI_Info_create(&infoin); - MPI_Info_set(infoin, "access_style", "write_once,random"); - const char *outFileName = outFileStr.c_str(); - - int err; - err = MPI_File_open(output_comm, outFileName, - MPI_MODE_EXCL | MPI_MODE_WRONLY | MPI_MODE_CREATE, - infoin, &outputFilePtr); - if (err != MPI_SUCCESS) { - if (output_rank == 0) { - MPI_File_delete(outFileName, MPI_INFO_NULL); - } - MPI_Barrier(output_comm); - err = MPI_File_open(output_comm, outFileName, - MPI_MODE_EXCL | MPI_MODE_WRONLY | MPI_MODE_CREATE, - infoin, &outputFilePtr); - if (err != MPI_SUCCESS) { - FILE_LOG_SINGLE(ERROR, "Unable to open file to write co-ordinates"); - TerminateFemTech(10); - } - } - // Write the header - char *outputHeader = (char *)malloc( - sizeof(char) * (10 + outputNodeCount * 60 + outputElemCount * 40)); - outputHeader[0] = 0; - if (output_rank == 0) { - sprintf(outputHeader, "#Time"); - } - for (int i = 0; i < outputNodeCount; ++i) { - int globalN = globalNodeID[outputNodeList[i]]; - sprintf(outputHeader, "%s Node%08d-DispX Node%08d-DispY Node%08d-DispZ", - outputHeader, globalN, globalN, globalN); - } - for (int i = 0; i < outputElemCount; ++i) { - int globalE = global_eid[outputElemList[i]]; - sprintf(outputHeader, "%s Elem%08d-StreP Elem%08d-StreS", outputHeader, - globalE, globalE); - } - if (output_rank == (output_size - 1)) { - sprintf(outputHeader, "%s\n", outputHeader); - } - MPI_File_write_ordered(outputFilePtr, outputHeader, strlen(outputHeader), - MPI_CHAR, MPI_STATUS_IGNORE); - free(outputHeader); - outputNodeRigidDisp = - (double *)calloc(outputNodeCount * ndim, sizeof(double)); - } - // Check if we should disable relative displacement - if (!jsonInput["relative-displacement"].empty()) { - outputRelativeDisplacement = jsonInput["relative-displacement"].asBool(); - } - return; -} - -void CustomPlot() { - if (rankForCustomPlot) { - // Write the output - char *output = (char *)malloc( - sizeof(char) * (17 + outputNodeCount * 51 + outputElemCount * 34)); - output[0] = 0; - if (output_rank == 0) { - sprintf(output, "%15.9e", Time); - } - for (int i = 0; i < outputNodeCount; ++i) { - unsigned int plotNode = outputNodeList[i] * ndim; - unsigned int plotIndex = i * ndim; - double xCord = displacements[plotNode]; - double yCord = displacements[plotNode + 1]; - double zCord = displacements[plotNode + 2]; - if (outputRelativeDisplacement) { - xCord -= outputNodeRigidDisp[plotIndex]; - yCord -= outputNodeRigidDisp[plotIndex + 1]; - zCord -= outputNodeRigidDisp[plotIndex + 2]; - } - sprintf(output, "%s %15.9e %15.9e %15.9e", output, xCord, yCord, zCord); - } - double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; - for (int i = 0; i < outputElemCount; ++i) { - unsigned int plotElem = outputElemList[i]; - // Recalculation to decouple from Injury criteria - if (materialID[pid[plotElem]] != 0) { - CalculateMaximumPrincipalStrain(plotElem, ¤tStrainMaxElem, - ¤tStrainMinElem, - ¤tShearMaxElem); - } else { - currentStrainMaxElem = 0.0; - currentShearMaxElem = 0.0; - } - sprintf(output, "%s %15.9e %15.9e", output, currentStrainMaxElem, - currentShearMaxElem); - } - if (output_rank == (output_size - 1)) { - sprintf(output, "%s\n", output); - } - MPI_File_write_ordered(outputFilePtr, output, strlen(output), MPI_CHAR, - MPI_STATUS_IGNORE); - free(output); - } - return; -} - -double InitBoundaryCondition(const Json::Value &jsonInput) { - static const double gC = 9.81; - double startTime = 0.0; - // Read input JSON for acceleration values - if (jsonInput["linear-acceleration"] - .isObject()) { // Use time traces from file - // If time array is common - if (!jsonInput["time-all"].empty()) { - unsigned int timeSize = 0; - timeSize = jsonInput["time-all"].size(); - linAccXSize = jsonInput["linear-acceleration"]["xv"].size(); - assert(linAccXSize == timeSize); - linAccYSize = jsonInput["linear-acceleration"]["yv"].size(); - assert(linAccYSize == timeSize); - linAccZSize = jsonInput["linear-acceleration"]["zv"].size(); - assert(linAccZSize == timeSize); - - linAccXt = (double *)malloc(sizeof(double) * linAccXSize); - linAccXv = (double *)malloc(sizeof(double) * linAccXSize); - linAccYt = (double *)malloc(sizeof(double) * linAccYSize); - linAccYv = (double *)malloc(sizeof(double) * linAccYSize); - linAccZt = (double *)malloc(sizeof(double) * linAccZSize); - linAccZv = (double *)malloc(sizeof(double) * linAccZSize); - - jsonToArray(linAccXt, jsonInput["time-all"]); - jsonToArray(linAccXv, jsonInput["linear-acceleration"]["xv"]); - jsonToArray(linAccYv, jsonInput["linear-acceleration"]["yv"]); - jsonToArray(linAccZv, jsonInput["linear-acceleration"]["zv"]); - memcpy(linAccYt, linAccXt, timeSize*sizeof(double)); - memcpy(linAccZt, linAccXt, timeSize*sizeof(double)); - - angAccXSize = jsonInput["angular-acceleration"]["xv"].size(); - assert(timeSize == angAccXSize); - angAccYSize = jsonInput["angular-acceleration"]["yv"].size(); - assert(timeSize == angAccYSize); - angAccZSize = jsonInput["angular-acceleration"]["zv"].size(); - assert(timeSize == angAccZSize); - - angAccXt = (double *)malloc(sizeof(double) * angAccXSize); - angAccXv = (double *)malloc(sizeof(double) * angAccXSize); - angAccYt = (double *)malloc(sizeof(double) * angAccYSize); - angAccYv = (double *)malloc(sizeof(double) * angAccYSize); - angAccZt = (double *)malloc(sizeof(double) * angAccZSize); - angAccZv = (double *)malloc(sizeof(double) * angAccZSize); - - jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); - jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); - jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); - memcpy(angAccXt, linAccXt, timeSize*sizeof(double)); - memcpy(angAccYt, linAccXt, timeSize*sizeof(double)); - memcpy(angAccZt, linAccXt, timeSize*sizeof(double)); - } else { - // Read linear acceleration and angular acceleration time traces - linAccXSize = jsonInput["linear-acceleration"]["xt"].size(); - int tempSize = jsonInput["linear-acceleration"]["xv"].size(); - assert(tempSize == linAccXSize); - linAccXt = (double *)malloc(sizeof(double) * linAccXSize); - linAccXv = (double *)malloc(sizeof(double) * linAccXSize); - linAccYSize = jsonInput["linear-acceleration"]["yt"].size(); - tempSize = jsonInput["linear-acceleration"]["yv"].size(); - assert(tempSize == linAccYSize); - linAccYt = (double *)malloc(sizeof(double) * linAccYSize); - linAccYv = (double *)malloc(sizeof(double) * linAccYSize); - linAccZSize = jsonInput["linear-acceleration"]["zt"].size(); - tempSize = jsonInput["linear-acceleration"]["zv"].size(); - assert(tempSize == linAccYSize); - linAccZt = (double *)malloc(sizeof(double) * linAccZSize); - linAccZv = (double *)malloc(sizeof(double) * linAccZSize); - jsonToArray(linAccXt, jsonInput["linear-acceleration"]["xt"]); - jsonToArray(linAccXv, jsonInput["linear-acceleration"]["xv"]); - jsonToArray(linAccYt, jsonInput["linear-acceleration"]["yt"]); - jsonToArray(linAccYv, jsonInput["linear-acceleration"]["yv"]); - jsonToArray(linAccZt, jsonInput["linear-acceleration"]["zt"]); - jsonToArray(linAccZv, jsonInput["linear-acceleration"]["zv"]); - - angAccXSize = jsonInput["angular-acceleration"]["xt"].size(); - tempSize = jsonInput["angular-acceleration"]["xv"].size(); - assert(tempSize == angAccXSize); - angAccXt = (double *)malloc(sizeof(double) * angAccXSize); - angAccXv = (double *)malloc(sizeof(double) * angAccXSize); - angAccYSize = jsonInput["angular-acceleration"]["yt"].size(); - tempSize = jsonInput["angular-acceleration"]["yv"].size(); - assert(tempSize == angAccYSize); - angAccYt = (double *)malloc(sizeof(double) * angAccYSize); - angAccYv = (double *)malloc(sizeof(double) * angAccYSize); - angAccZSize = jsonInput["angular-acceleration"]["zt"].size(); - tempSize = jsonInput["angular-acceleration"]["zv"].size(); - assert(tempSize == angAccZSize); - angAccZt = (double *)malloc(sizeof(double) * angAccZSize); - angAccZv = (double *)malloc(sizeof(double) * angAccZSize); - jsonToArray(angAccXt, jsonInput["angular-acceleration"]["xt"]); - jsonToArray(angAccXv, jsonInput["angular-acceleration"]["xv"]); - jsonToArray(angAccYt, jsonInput["angular-acceleration"]["yt"]); - jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); - jsonToArray(angAccZt, jsonInput["angular-acceleration"]["zt"]); - jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); - } - - // Convert linear accelerations from g force to m/s^2 - // Convert time from milli-seconds to seconds - for (int i = 0; i < linAccXSize; ++i) { - // linAccXv[i] = gC*linAccXv[i]; - linAccXt[i] = 0.001 * linAccXt[i]; - } - for (int i = 0; i < linAccYSize; ++i) { - // linAccYv[i] = gC*linAccYv[i]; - linAccYt[i] = 0.001 * linAccYt[i]; - } - for (int i = 0; i < linAccZSize; ++i) { - // linAccZv[i] = gC*linAccZv[i]; - linAccZt[i] = 0.001 * linAccZt[i]; - } - for (int i = 0; i < angAccXSize; ++i) { - angAccXt[i] = 0.001 * angAccXt[i]; - } - for (int i = 0; i < angAccYSize; ++i) { - angAccYt[i] = 0.001 * angAccYt[i]; - } - for (int i = 0; i < angAccZSize; ++i) { - angAccZt[i] = 0.001 * angAccZt[i]; - } - startTime = linAccXt[0]; - } else { // Read maximum values from input file - double accMax[3]; - accMax[0] = gC * jsonInput["linear-acceleration"][0].asDouble(); - accMax[1] = gC * jsonInput["linear-acceleration"][1].asDouble(); - accMax[2] = gC * jsonInput["linear-acceleration"][2].asDouble(); - peakTime = jsonInput["time-peak-acceleration"].asDouble() / - 1000.0; // Convert to second - linAccXSize = 3; - linAccYSize = 3; - linAccZSize = 3; - linAccXt = (double *)calloc(linAccXSize, sizeof(double)); - linAccXv = (double *)calloc(linAccXSize, sizeof(double)); - linAccYt = (double *)calloc(linAccYSize, sizeof(double)); - linAccYv = (double *)calloc(linAccYSize, sizeof(double)); - linAccZt = (double *)calloc(linAccZSize, sizeof(double)); - linAccZv = (double *)calloc(linAccZSize, sizeof(double)); - linAccXt[1] = linAccYt[1] = linAccZt[1] = peakTime; - linAccXt[2] = linAccYt[2] = linAccZt[2] = tMax; - linAccXv[1] = accMax[0]; - linAccYv[1] = accMax[1]; - linAccZv[1] = accMax[2]; - if (jsonInput["angular-acceleration"].size() == 3) { - accMax[0] = jsonInput["angular-acceleration"][0].asDouble(); - accMax[1] = jsonInput["angular-acceleration"][1].asDouble(); - accMax[2] = jsonInput["angular-acceleration"][2].asDouble(); - } else { - double angNormal[3]; - int impactPointID = getImpactID(jsonInput["impact-point"].asString()); - // Compute the axis of rotation based on center of mass and impact point - double impactNodeCoord[3]; - // Find if global node ID is present on the current process - int nodeStatus = coordinateFromGlobalID(globalNodeID, impactPointID, - nNodes, impactNodeCoord); - // Find lowest rank process with node ID - int *nodeWithID = (int *)malloc(world_size * sizeof(int)); - MPI_Allgather(&nodeStatus, 1, MPI_INT, nodeWithID, 1, MPI_INT, - MPI_COMM_WORLD); - int nodeIDGlobal = -1; - for (int i = 0; i < world_size; ++i) { - if (nodeWithID[i]) { - nodeIDGlobal = i; - break; - } - } - // Recieve node co-ordinates - MPI_Bcast(impactNodeCoord, ndim, MPI_DOUBLE, nodeIDGlobal, - MPI_COMM_WORLD); - FILE_LOG_MASTER(INFO, "NodeID of impact : %d (%15.9e, %15.9e, %15.9e)", - impactPointID, impactNodeCoord[0], impactNodeCoord[1], - impactNodeCoord[2]); - // Compute the axis of rotation - double norm = 0.0; - for (int i = 0; i < ndim; ++i) { - double ds = impactNodeCoord[i]; - angNormal[i] = ds; - norm += ds * ds; - } - norm = sqrt(norm); - for (int i = 0; i < ndim; ++i) { - angNormal[i] /= norm; - } - double angAccMax = jsonInput["angular-acceleration"].asDouble(); - accMax[0] = angAccMax * angNormal[0]; - accMax[1] = angAccMax * angNormal[1]; - accMax[2] = angAccMax * angNormal[2]; - free(nodeWithID); - } - angAccXSize = 3; - angAccYSize = 3; - angAccZSize = 3; - angAccXt = (double *)calloc(angAccXSize, sizeof(double)); - angAccXv = (double *)calloc(angAccXSize, sizeof(double)); - angAccYt = (double *)calloc(angAccYSize, sizeof(double)); - angAccYv = (double *)calloc(angAccYSize, sizeof(double)); - angAccZt = (double *)calloc(angAccZSize, sizeof(double)); - angAccZv = (double *)calloc(angAccZSize, sizeof(double)); - angAccXt[1] = angAccYt[1] = angAccZt[1] = peakTime; - angAccXt[2] = angAccYt[2] = angAccZt[2] = tMax; - angAccXv[1] = accMax[0]; - angAccYv[1] = accMax[1]; - angAccZv[1] = accMax[2]; - } - // Convert angular to linear frame - if (!jsonInput["angular-to-linear-frame"].empty()) { - double factor[ndim]; - int index[ndim]; - for (int i = 0; i < ndim; ++i) { - index[i] = -10; - std::string tr = jsonInput["angular-to-linear-frame"][i].asString(); - if (tr.length() == 2) { - switch (tr.at(1)) { - case 'x': - index[i] = 0; - break; - case 'y': - index[i] = 1; - break; - case 'z': - index[i] = 2; - break; - default: - FILE_LOG_MASTER(ERROR, "Transformation has to be x/y/z"); - TerminateFemTech(12); - break; - } - switch (tr.at(0)) { - case '-': - factor[i] = -1; - break; - case '+': - factor[i] = 1; - break; - default: - FILE_LOG_MASTER(ERROR, - "Prefix of axis not -/+, check input transformation"); - TerminateFemTech(12); - break; - } - } else { - if (tr.length() == 1) { - factor[i] = 1; - switch (tr.at(0)) { - case 'x': - index[i] = 0; - break; - case 'y': - index[i] = 1; - break; - case 'z': - index[i] = 2; - break; - default: - FILE_LOG_MASTER(ERROR, "Transformation has to be x/y/z"); - TerminateFemTech(12); - break; - } - } else { - FILE_LOG_MASTER(ERROR, "Error in angular to linear frame " - "transformation. Please check input file"); - TerminateFemTech(12); - } - } - } - // Validate the input - int indexSum = index[0] + index[1] + index[2]; - if (indexSum != 3) { - FILE_LOG_MASTER(ERROR, "Error in angular to linear frame transformation. " - "x, y and z not present"); - TerminateFemTech(12); - } - if ((index[0] != 0) && (index[1] != 0) && (index[2] != 0)) { - FILE_LOG_MASTER( - ERROR, - "Error in angular to linear frame transformation. x not present"); - TerminateFemTech(12); - } - // Transform all angular acceleration values - // Transforming individual values rather than pointer rotation for - // readability - double accSize[ndim]; - accSize[index[0]] = angAccXSize; - accSize[index[1]] = angAccYSize; - accSize[index[2]] = angAccZSize; - double *angAccTNew[ndim], *angAccVNew[ndim]; - angAccTNew[0] = (double *)malloc(accSize[0] * sizeof(double)); - angAccVNew[0] = (double *)malloc(accSize[0] * sizeof(double)); - angAccTNew[1] = (double *)malloc(accSize[1] * sizeof(double)); - angAccVNew[1] = (double *)malloc(accSize[1] * sizeof(double)); - angAccTNew[2] = (double *)malloc(accSize[2] * sizeof(double)); - angAccVNew[2] = (double *)malloc(accSize[2] * sizeof(double)); - - int transformedIndex = index[0]; - for (int i = 0; i < angAccXSize; ++i) { - angAccTNew[transformedIndex][i] = angAccXt[i]; - angAccVNew[transformedIndex][i] = angAccXv[i] * factor[0]; - } - transformedIndex = index[1]; - for (int i = 0; i < angAccYSize; ++i) { - angAccTNew[transformedIndex][i] = angAccYt[i]; - angAccVNew[transformedIndex][i] = angAccYv[i] * factor[1]; - } - transformedIndex = index[2]; - for (int i = 0; i < angAccZSize; ++i) { - angAccTNew[transformedIndex][i] = angAccZt[i]; - angAccVNew[transformedIndex][i] = angAccZv[i] * factor[2]; - } - - angAccXSize = accSize[0]; - angAccYSize = accSize[1]; - angAccZSize = accSize[2]; - free(angAccXt); - free(angAccXv); - free(angAccYt); - free(angAccYv); - free(angAccZt); - free(angAccZv); - angAccXt = angAccTNew[0]; - angAccXv = angAccVNew[0]; - angAccYt = angAccTNew[1]; - angAccYv = angAccVNew[1]; - angAccZt = angAccTNew[2]; - angAccZv = angAccVNew[2]; - } - - double tol = 1e-5; - // Find count of nodes with specified partID - int rigidNodeCount = 0; - for (int i = 0; i < nelements; ++i) { - if (materialID[pid[i]] == 0) { - rigidNodeCount = rigidNodeCount + (eptr[i + 1] - eptr[i]); - } - } - // Allocate node storage - int *rigidNodeID = (int *)malloc(rigidNodeCount * sizeof(int)); - if (rigidNodeID == NULL) { - FILE_LOG_SINGLE(ERROR, "Unable to alocate rigidNodeID"); - TerminateFemTech(12); - } - // Store all nodes to be made rigid - int nodePtr = 0; - for (int i = 0; i < nelements; ++i) { - if (materialID[pid[i]] == 0) { - for (int j = eptr[i]; j < eptr[i + 1]; ++j) { - rigidNodeID[nodePtr] = connectivity[j]; - nodePtr = nodePtr + 1; - } - } - } - assert(nodePtr == rigidNodeCount); - // Sort and make unique - qsort(rigidNodeID, rigidNodeCount, sizeof(int), compare); - boundarySize = unique(rigidNodeID, rigidNodeCount); - for (int i = 0; i < boundarySize; ++i) { - int index = rigidNodeID[i] * ndim; - boundary[index] = 1; - boundary[index + 1] = 1; - boundary[index + 2] = 1; - } - updateBoundaryNeighbour(); - free(rigidNodeID); - boundarySize = 0; - for (int i = 0; i < nDOF; i += 3) { - if (boundary[i]) { - boundarySize = boundarySize + 1; - } - } - - FILE_LOG(INFO, "%d nodes given rigid motion", boundarySize); - boundaryID = (int *)malloc(boundarySize * sizeof(int)); - if (boundaryID == NULL) { - FILE_LOG_SINGLE(ERROR, "Unable to alocate boundaryID"); - TerminateFemTech(12); - } - - int idIndex = 0; - for (int i = 0; i < nNodes; ++i) { - int index = i * ndim; - if (boundary[index]) { - boundaryID[idIndex] = i; - idIndex = idIndex + 1; - } - } - assert(idIndex == boundarySize); - // Setting initial conditions - for (int j = 0; j < nIntVar; ++j) { - yInt[j] = 0.0; - ydotInt[j] = 0.0; - } - // Set initial displacements, accelerations, velocities to zero - for (int i = 0; i < boundarySize; i++) { - int index = boundaryID[i] * ndim; - for (int j = 0; j < ndim; ++j) { - displacements[index + j] = 0.0; - velocities[index + j] = 0.0; - accelerations[index + j] = 0.0; - } - } - return startTime; -} - -void updateBoundaryNeighbour(void) { - int *sendNodeBoundary; - int *recvNodeBoundary; - int totalNodeToSend = sendNeighbourCountCum[sendProcessCount]; - recvNodeBoundary = (int *)malloc(ndim * totalNodeToSend * sizeof(int)); - sendNodeBoundary = (int *)malloc(ndim * totalNodeToSend * sizeof(int)); - // Update array to send - for (int i = 0; i < totalNodeToSend; ++i) { - int nodeIndex = ndim * sendNodeIndex[i]; - sendNodeBoundary[ndim * i] = boundary[nodeIndex]; - sendNodeBoundary[ndim * i + 1] = boundary[nodeIndex + 1]; - sendNodeBoundary[ndim * i + 2] = boundary[nodeIndex + 2]; - } - // Create send requests - int boundaryTag = 2798; - MPI_Request *requestListSend = - (MPI_Request *)malloc(sizeof(MPI_Request) * sendProcessCount); - for (int i = 0; i < sendProcessCount; ++i) { - int process = sendProcessID[i]; - int location = sendNeighbourCountCum[i] * ndim; - int size = ndim * sendNeighbourCount[i]; - MPI_Isend(&(sendNodeBoundary[location]), size, MPI_INT, process, - boundaryTag, MPI_COMM_WORLD, &(requestListSend[i])); - } - // Create recv requests - MPI_Request *requestListRecv = - (MPI_Request *)malloc(sizeof(MPI_Request) * sendProcessCount); - for (int i = 0; i < sendProcessCount; ++i) { - int process = sendProcessID[i]; - int location = sendNeighbourCountCum[i] * ndim; - int size = ndim * sendNeighbourCount[i]; - MPI_Irecv(&(recvNodeBoundary[location]), size, MPI_INT, process, - boundaryTag, MPI_COMM_WORLD, &(requestListRecv[i])); - } - // Wait for completion of all requests - MPI_Status status; - for (int i = 0; i < sendProcessCount; ++i) { - MPI_Wait(&(requestListSend[i]), &status); - } - for (int i = 0; i < sendProcessCount; ++i) { - MPI_Wait(&(requestListRecv[i]), &status); - } - // Update Mass values - for (int i = 0; i < totalNodeToSend; ++i) { - int nodeIndex = ndim * sendNodeIndex[i]; - if (recvNodeBoundary[ndim * i]) { - boundary[nodeIndex] = 1; - } - if (recvNodeBoundary[ndim * i + 1]) { - boundary[nodeIndex + 1] = 1; - } - if (recvNodeBoundary[ndim * i + 2]) { - boundary[nodeIndex + 2] = 1; - } - } - free(requestListSend); - free(requestListRecv); - free(recvNodeBoundary); - free(sendNodeBoundary); -} - -int getImpactID(std::string location) { - const std::map pointMap{ - {"top-right", 5285}, {"top-left", 1754}, {"front-low", 2576}, - {"front-high", 1968}, {"right-high", 5677}, {"bottom-front", 2576}, - {"top-front", 1968}, {"top-rear", 1874}}; - if (pointMap.find(location) == pointMap.end()) { - FILE_LOG_SINGLE(ERROR, - "Impact location not found, check value of impact-point"); - TerminateFemTech(11); - } - return pointMap.at(location); -} - -void computeDerivatives(const state_type &y, state_type &ydot, const double t) { - // ydot[0-2] : Store angular acceleration, alpha - // ydot[3-5] : Store derivative of rotation quaternion generator, rdot - // ydot[6-8] : Linear acceleration of the center of mass, acc - // ydot[9-11] : Linear velocity of the center of mass, vel - // Storing alpha - ydot[0] = interpolateLinear(angAccXSize, angAccXt, angAccXv, t); - ydot[1] = interpolateLinear(angAccYSize, angAccYt, angAccYv, t); - ydot[2] = interpolateLinear(angAccZSize, angAccZt, angAccZv, t); - // Linear Acceleration - ydot[6] = interpolateLinear(linAccXSize, linAccXt, linAccXv, t); - ydot[7] = interpolateLinear(linAccYSize, linAccYt, linAccYv, t); - ydot[8] = interpolateLinear(linAccZSize, linAccZt, linAccZv, t); - // Linear Velocity - ydot[9] = y[6]; - ydot[10] = y[7]; - ydot[11] = y[8]; - // rdot - // Ref: The integration of angular velocity, Michael Boyle, 2017 - // https://arxiv.org/pdf/1604.08139.pdf - double r[3]; - r[0] = y[3]; - r[1] = y[4]; - r[2] = y[5]; - double *rdot = &(ydot[3]); - double rMagnitude = sqrt(r[0] * r[0] + r[1] * r[1] + r[2] * r[2]); - if (rMagnitude < 1e-10) { - // rdot = 0.5*omega - rdot[0] = 0.5 * y[0]; - rdot[1] = 0.5 * y[1]; - rdot[2] = 0.5 * y[2]; - } else { - double rCotR = rMagnitude / tan(rMagnitude); - double omega[3]; - omega[0] = y[0]; - omega[1] = y[1]; - omega[2] = y[2]; - crossProduct(omega, r, rdot); // compute rdot = omega x r - // Normalize r by its magnitude - for (int i = 0; i < 3; ++i) { - r[i] = r[i] / rMagnitude; - } - double rDotOmega = dotProduct3D(r, omega); // compure r.omega/||r|| - for (int i = 0; i < 3; ++i) { - // Compute 0.5 omegaxr + omega*(0.5||r|| cot(||r||) + (1-||r||cot(||r||)) - // *(r.omega)*r/(2*||r||*||r||) - rdot[i] = - 0.5 * (rdot[i] + rCotR * y[i] + (1.0 - rCotR) * rDotOmega * r[i]); - } - } -} - -void WriteOutputFile() { - Json::Value output; - Json::Value vec(Json::arrayValue); - - // Write basic info that does not require any computation - if (world_rank == 0) { - output["output-file"] = outputFileName + ".pvd"; - - vec.resize(ndim); - // Write center of mass co-ordinates in JSON - for (int i = 0; i < ndim; ++i) { - vec[i] = cm[i]; - } - output["center-of-mass"] = vec; - output["code-branch"] = GIT_BRANCH; - output["code-version"] = GIT_COMMIT_HASH; - } - if (computeInjuryFlag) { - // Compute and write principal values - double maxLocationAndTime[4]; - int globalElementID; - struct { - double value; - int rank; - } parStructMax; - - /* Calculate principal min and max strain location and send to master */ - // Find the gloabl max principal strain - for (int i = 0; i < maxQuantities; ++i) { - parStructMax.value = maxValue[i]; - parStructMax.rank = world_rank; - MPI_Allreduce(MPI_IN_PLACE, &parStructMax, 1, MPI_DOUBLE_INT, - outputOperator[i], MPI_COMM_WORLD); - if (parStructMax.rank == world_rank) { - for (int j = 0; j < 4; ++j) { - maxLocationAndTime[j] = 0.0; - } - int elementID = maxElem[i]; - // Compute element coordinates - int nP = eptr[elementID + 1] - eptr[elementID]; - for (int j = eptr[elementID]; j < eptr[elementID + 1]; ++j) { - maxLocationAndTime[0] += coordinates[connectivity[j] * ndim]; - maxLocationAndTime[1] += coordinates[connectivity[j] * ndim + 1]; - maxLocationAndTime[2] += coordinates[connectivity[j] * ndim + 2]; - } - for (int j = 0; j < ndim; ++j) { - maxLocationAndTime[j] = maxLocationAndTime[j] / ((double)nP); - } - maxLocationAndTime[3] = maxTime[i]; - globalElementID = global_eid[elementID]; - if (world_rank != 0) { - MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7297 + i, - MPI_COMM_WORLD); - MPI_Send(&globalElementID, 1, MPI_INT, 0, 7297 + i, MPI_COMM_WORLD); - } - } - if (world_rank == 0) { - if (parStructMax.rank != 0) { - MPI_Recv(maxLocationAndTime, 4, MPI_DOUBLE, parStructMax.rank, 7297 + i, - MPI_COMM_WORLD, MPI_STATUS_IGNORE); - MPI_Recv(&globalElementID, 1, MPI_INT, parStructMax.rank, 7297 + i, - MPI_COMM_WORLD, MPI_STATUS_IGNORE); - } - for (int j = 0; j < ndim; ++j) { - vec[j] = maxLocationAndTime[j]; - } - output[maxOutput[i]]["value"] = parStructMax.value; - output[maxOutput[i]]["location"] = vec; - output[maxOutput[i]]["time"] = maxLocationAndTime[3]; - output[maxOutput[i]]["global-element-id"] = globalElementID; - } - } - - // Compute the volume of all parts - double volumePart[nPIDglobal]; - double elementVolume[nelements]; // For MPS computation - for (int i = 0; i < nPIDglobal; ++i) { - volumePart[i] = 0.0; - } - computePartVolume(volumePart, elementVolume); - // Compute Volume of threshold quantities - double thresholdVolume[threshQuantities]; - for (int i = 0; i < threshQuantities; ++i) { - thresholdVolume[i] = 0.0; - } - for (int i = 0; i < nElementsInjury; ++i) { - int e = elementIDInjury[i]; - double eV = elementVolume[e]; - // CSDM 5, 10, 15, 30 volume computations - if (thresholdElements[0][i]) { - thresholdVolume[0] += eV; - if (thresholdElements[1][i]) { - thresholdVolume[1] += eV; - if (thresholdElements[2][i]) { - thresholdVolume[2] += eV; - if (thresholdElements[3][i]) { - thresholdVolume[3] += eV; - } - } - } - } - // MPSR > 120 volume - if (thresholdElements[4][i]) { - thresholdVolume[4] += eV; - } - // MPSxSR > 28 volume - if (thresholdElements[5][i]) { - thresholdVolume[5] += eV; - } - } - // Calculate cumulative volume on all ranks - MPI_Allreduce(MPI_IN_PLACE, thresholdVolume, 6, MPI_DOUBLE, MPI_SUM, - MPI_COMM_WORLD); - if (world_rank == 0) { - // Excluded PID hardcoded for CSDM computation - double totalVolume = 0.0; - for (int i = 0; i < nPIDglobal; ++i) { - bool include = true; - for (int j = 0; j < injuryExcludePIDCount; ++j) { - if (injuryExcludePID[j] == i) { - include = false; - break; - } - } - if (include) { - totalVolume += volumePart[i]; - } - } - // Write brain volume in output.json - output["brain-volume"] = totalVolume; - - // Write threshold values - for (int i = 0; i < threshQuantities; ++i) { - output[thresholdTag[i]]["value"] = thresholdVolume[i] / totalVolume; - } - // Write percentile values - for (int i = 0; i < percentileQuantities; ++i) { - output[percentileTag[i]]["value"] = percentileValue[i]; - output[percentileTag[i]]["time"] = percentileTime[i]; - } - } - // Create list to write to output.json - const int outputJsonCount = 5; - std::string jsonOutputTag[outputJsonCount]; - int *outputJsonArray[outputJsonCount]; - for (int i = 0; i < csdmCount; ++i) { - jsonOutputTag[i] = thresholdTag[i]; - outputJsonArray[i] = thresholdElements[i]; - } - // Write MPS-95 elements - jsonOutputTag[csdmCount] = percentileTag[0]; - outputJsonArray[csdmCount] = percentileElements[0]; - - int *countPerProc, *cumCountPerProc, *fullElemList; - if (world_rank == 0) { - countPerProc = (int *)malloc(world_size * sizeof(int)); - cumCountPerProc = (int *)malloc(world_size * sizeof(int)); - } - for (int i = 0; i < outputJsonCount; ++i) { - int *list = outputJsonArray[i]; - int count = 0; - for (int j = 0; j < nElementsInjury; ++j) { - if (list[j]) { - count = count + 1; - } - } - int numElem = count; - int *localElemList = (int *)malloc(numElem * sizeof(int)); - count = 0; - if (numElem) { - for (int j = 0; j < nElementsInjury; ++j) { - if (list[j]) { - int e = elementIDInjury[j]; - localElemList[count] = global_eid[e]; - count = count + 1; - } - } - } - // Get total count - int totalElems = 0; - MPI_Allreduce(&numElem, &totalElems, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD); - // Get recv count - MPI_Gather(&numElem, 1, MPI_INT, countPerProc, 1, MPI_INT, 0, - MPI_COMM_WORLD); - - if (world_rank == 0) { - fullElemList = (int *)malloc(totalElems * sizeof(int)); - cumCountPerProc[0] = 0; - for (int j = 1; j < world_size; ++j) { - cumCountPerProc[j] = countPerProc[j - 1] + cumCountPerProc[j - 1]; - } - } - // Get full array - if (totalElems) { - MPI_Gatherv(localElemList, numElem, MPI_INT, fullElemList, countPerProc, - cumCountPerProc, MPI_INT, 0, MPI_COMM_WORLD); - } - if (world_rank == 0) { - Json::Value elementList(Json::arrayValue); - elementList.resize(totalElems); - for (int j = 0; j < totalElems; ++j) { - elementList[j] = fullElemList[j]; - } - free(fullElemList); - output[jsonOutputTag[i]]["global-element-id"] = elementList; - } - free(localElemList); - MPI_Barrier(MPI_COMM_WORLD); - } - if (world_rank == 0) { - free(countPerProc); - free(cumCountPerProc); - } - } - - // Write output to file - if (world_rank == 0) { - Json::StreamWriterBuilder builder; - builder["commentStyle"] = "None"; - builder["indentation"] = " "; - std::unique_ptr writer(builder.newStreamWriter()); - std::ofstream oFile(uid + "_output.json"); - writer->write(output, &oFile); - } - FILE_LOG_MASTER(INFO, "Json output file written"); -} - -void InitInjuryCriteria(void) { - // Set all min and max quantities to zero - for (int i = 0; i < maxQuantities; ++i) { - maxValue[i] = 0.0; - maxTime[i] = 0.0; - maxElem[i] = 0; - } - - for (int i = 0; i < nelements; i++) { - bool include = true; - int elementPID = pid[i]; - for (int j = 0; j < injuryExcludePIDCount; ++j) { - if (elementPID == injuryExcludePID[j]) { - include = false; - break; - } - } - if (include) { - nElementsInjury += 1; - } - } - elementIDInjury = (int *)malloc(nElementsInjury * sizeof(int)); - int count = 0; - for (int i = 0; i < nelements; i++) { - bool include = true; - int elementPID = pid[i]; - for (int j = 0; j < injuryExcludePIDCount; ++j) { - if (elementPID == injuryExcludePID[j]) { - include = false; - break; - } - } - if (include) { - elementIDInjury[count] = i; - count += 1; - } - } - - for (int i = 0; i < threshQuantities; ++i) { - thresholdElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); - } - // Write percentile values - for (int i = 0; i < percentileQuantities; ++i) { - percentileElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); - percentileTime[i] = 0.0; - percentileValue[i] = 0.0; - } - PS_Old = (double *)calloc(nElementsInjury, sizeof(double)); - PSxSRArray = (double *)calloc(nElementsInjury, sizeof(double)); - elementMPS = (double *)calloc(nelements, sizeof(double)); - initialVolume = (double *)calloc(nelements, sizeof(double)); - - // Array to output to Paraview - // All threshold elements CSDM : 5, 10, 15, 30, MPSR-120, MPSxSR-28 - for (int i = 0; i < threshQuantities; ++i) { - outputDataArray[i] = thresholdElements[i]; - } - // for (int i = 0; i < percentileQuantities; ++i) { - // outputDataArray[threshQuantities + i] = - // percentileElements[i]; - // } - outputDataArray[threshQuantities] = - percentileElements[0]; // Write MPS-95 to paraview - // Percentile Values - // Write MPS-95-Value - outputDoubleArray[0] = PS_Old; - - // Compute the initial volume of elements for MPS file - double volumePart[nPIDglobal]; - for (int i = 0; i < nPIDglobal; ++i) { - volumePart[i] = 0.0; - } - computePartVolume(volumePart, initialVolume); -} - -void CalculateInjuryCriteria(void) { - double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; - double PSR = 0.0, PSxSR = 0.0; - - for (int j = 0; j < nElementsInjury; j++) { - int i = elementIDInjury[j]; - CalculateMaximumPrincipalStrain( - i, ¤tStrainMaxElem, ¤tStrainMinElem, ¤tShearMaxElem); - if (maxValue[0] < currentStrainMaxElem) { - maxValue[0] = currentStrainMaxElem; - maxElem[0] = i; - maxTime[0] = Time; - } - if (maxValue[3] > currentStrainMinElem) { - maxValue[3] = currentStrainMinElem; - maxElem[3] = i; - maxTime[3] = Time; - } - if (maxValue[1] < currentShearMaxElem) { - maxValue[1] = currentShearMaxElem; - maxElem[1] = i; - maxTime[1] = Time; - } - // Update csdm element list - for (int k = 0; k < csdmCount; ++k) { - if (!thresholdElements[k][j]) { - if (currentStrainMaxElem > csdmLimits[k]) { - thresholdElements[k][j] = 1; - } - } - } - // Compute maxPSxSR - // Compute principal strain rate using first order backaward distance - PSR = (currentStrainMaxElem - PS_Old[j]) / dt; - // TODO(Anil) : Sould absolute value be used for PSR ? - PSxSR = currentStrainMaxElem * PSR; - if (maxValue[2] < PSxSR) { - maxValue[2] = PSxSR; - maxElem[2] = i; - maxTime[2] = Time; - } - // Calculate MPSR 120 - if (!thresholdElements[csdmCount][j]) { - if (PSR > 120.0) { - thresholdElements[csdmCount][j] = 1; - } - } - // Calculate MPSxSR 28 - if (!thresholdElements[csdmCount + 1][j]) { - if (PSxSR > 28.0) { - thresholdElements[csdmCount + 1][j] = 1; - } - } - PS_Old[j] = currentStrainMaxElem; - PSxSRArray[j] = PSxSR; - if (currentStrainMaxElem > elementMPS[i]) { - elementMPS[i] = currentStrainMaxElem; - } - } // For loop over elements included for injury - - // Compute 95 percentile MPS and corresponding element list - double MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); - if (MPS95 > percentileValue[0]) { - memset(percentileElements[0], 0, nElementsInjury * sizeof(int)); - percentileValue[0] = MPS95; - percentileTime[0] = Time; - for (int j = 0; j < nElementsInjury; j++) { - if (PS_Old[j] >= MPS95) { - percentileElements[0][j] = 1; - } - } - } - - // Compute 95 percentile MPSxSR and corresponding element list - double MPSxSR95 = compute95thPercentileValue(PSxSRArray, nElementsInjury); - if (MPSxSR95 > percentileValue[1]) { - memset(percentileElements[1], 0, nElementsInjury * sizeof(int)); - percentileValue[1] = MPSxSR95; - percentileTime[1] = Time; - int count = 0; - for (int j = 0; j < nElementsInjury; j++) { - if (PSxSRArray[j] >= MPSxSR95) { - percentileElements[1][j] = 1; - } - } - } -} - -void TransformMesh(const Json::Value &jsonInput) { - double cordAngularSensor[3]; - // Check if mesh-transformation key is present in the input json file - // If present transform mesh, otherwise subtract center of mass - if (!jsonInput["head-cg"].empty()) { - cm[0] = jsonInput["head-cg"][0].asDouble(); - cm[1] = jsonInput["head-cg"][1].asDouble(); - cm[2] = jsonInput["head-cg"][2].asDouble(); - FILE_LOG_MASTER(INFO, "Center of Mass used : (%15.9e, %15.9e, %15.9e)", - cm[0], cm[1], cm[2]); - } else { - GetBodyCenterofMass(cm); - FILE_LOG_MASTER( - INFO, "Brain+Skull Center of Mass used : (%15.9e, %15.9e, %15.9e)", - cm[0], cm[1], cm[2]); - } - if (!jsonInput["angular-sensor-position"].empty()) { - cordAngularSensor[0] = jsonInput["angular-sensor-position"][0].asDouble(); - cordAngularSensor[1] = jsonInput["angular-sensor-position"][1].asDouble(); - cordAngularSensor[2] = jsonInput["angular-sensor-position"][2].asDouble(); - FILE_LOG_MASTER( - INFO, "Angular sensor data about : (%15.9e, %15.9e, %15.9e)", - cordAngularSensor[0], cordAngularSensor[1], cordAngularSensor[2]); - } else { - for (unsigned int i = 0; i < ndim; ++i) { - cordAngularSensor[i] = cm[i]; - } - FILE_LOG_MASTER(INFO, "Angular sensor data about center of mass"); - } - if (!jsonInput["mesh-transformation"].empty()) { - double factor[ndim]; - int index[ndim]; - for (int i = 0; i < ndim; ++i) { - index[i] = -10; - std::string tr = jsonInput["mesh-transformation"][i].asString(); - if (tr.length() == 2) { - switch (tr.at(1)) { - case 'x': - index[i] = 0; - break; - case 'y': - index[i] = 1; - break; - case 'z': - index[i] = 2; - break; - default: - FILE_LOG_MASTER(ERROR, "Mesh transformation has to be x/y/z"); - TerminateFemTech(12); - break; - } - switch (tr.at(0)) { - case '-': - factor[i] = -1; - break; - case '+': - factor[i] = 1; - break; - default: - FILE_LOG_MASTER( - ERROR, "Prefix of axis not -/+, check input mesh-transformation"); - TerminateFemTech(12); - break; - } - } else { - if (tr.length() == 1) { - factor[i] = 1; - switch (tr.at(0)) { - case 'x': - index[i] = 0; - break; - case 'y': - index[i] = 1; - break; - case 'z': - index[i] = 2; - break; - default: - FILE_LOG_MASTER(ERROR, "Mesh transformation has to be x/y/z"); - TerminateFemTech(12); - break; - } - } else { - FILE_LOG_MASTER( - ERROR, "Error in mesh transformation. Please check input file"); - TerminateFemTech(12); - } - } - } - // Validate the input - int indexSum = index[0] + index[1] + index[2]; - if (indexSum != 3) { - FILE_LOG_MASTER(ERROR, - "Error in mesh transformation. x, y and z not present"); - TerminateFemTech(12); - } - if ((index[0] != 0) && (index[1] != 0) && (index[2] != 0)) { - FILE_LOG_MASTER(ERROR, "Error in mesh transformation. x not present"); - TerminateFemTech(12); - } - // Transform center of mass - double coordTemp[ndim]; - // Transform center of mass based on the transformation - for (int i = 0; i < ndim; ++i) { - int transformedIndex = index[i]; - coordTemp[transformedIndex] = cm[i] * factor[i]; - } - // Assign cm array with transformed co-ordinates - for (int i = 0; i < ndim; ++i) { - cm[i] = coordTemp[i]; - } - // Transform angular sensor position - for (int i = 0; i < ndim; ++i) { - int transformedIndex = index[i]; - coordTemp[transformedIndex] = cordAngularSensor[i] * factor[i]; - } - for (int i = 0; i < ndim; ++i) { - cordAngularSensor[i] = coordTemp[i]; - } - // Transform all corodinates and subtract angular sensor position. - // Transform all local co-ordinates - for (int j = 0; j < nNodes; ++j) { - for (int i = 0; i < ndim; ++i) { - int transformedIndex = index[i]; - coordTemp[transformedIndex] = coordinates[i + ndim * j] * factor[i]; - } - for (int i = 0; i < ndim; ++i) { - coordinates[i + ndim * j] = coordTemp[i] - cordAngularSensor[i]; - } - } - // Get center of mass wrt angular sensor position - for (int i = 0; i < ndim; ++i) { - cm[i] = cm[i] - cordAngularSensor[i]; - } - } else { - // Subtract angular sensor position from co-ordinates - for (int j = 0; j < nNodes; ++j) { - for (int i = 0; i < ndim; ++i) { - coordinates[i + ndim * j] = - coordinates[i + ndim * j] - cordAngularSensor[i]; - } - } - // Get center of mass wrt angular sensor position - for (int i = 0; i < ndim; ++i) { - cm[i] = cm[i] - cordAngularSensor[i]; - } - } - // Ensure rest of the code is executed after the mesh transformation - MPI_Barrier(MPI_COMM_WORLD); -} - -void WriteMPS(void) { - MPI_File mpsFilePtr; - MPI_Info infoin; - MPI_Info_create(&infoin); - MPI_Info_set(infoin, "access_style", "write_once,random"); - char fileName[] = "MPSfile.dat"; - - int err; - err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); - if (err != MPI_SUCCESS) { - if (world_rank == 0) { - MPI_File_delete(fileName, MPI_INFO_NULL); - } - err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); - if (err != MPI_SUCCESS) { - FILE_LOG_SINGLE(ERROR, "Unable to open MPS file"); - return; - } - } - - const unsigned int lineSize = 39; - char s2[lineSize] = {0}; - unsigned int offset = 0; - - for (unsigned int i = 0; i < nelements; ++i) { - offset = (global_eid[i]-1)*lineSize; - sprintf(s2, "%06d, %14.5e, %14.5e\n", global_eid[i], elementMPS[i], initialVolume[i]); - MPI_File_write_at(mpsFilePtr, offset, s2, lineSize, MPI_CHAR, MPI_STATUS_IGNORE); - } - - MPI_File_close(&mpsFilePtr); - FILE_LOG_MASTER(INFO, "MPS values written to file"); - return; -} From 68239db51ca07fa7cb2b245e6807d844060c5c48 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 7 Oct 2021 11:56:51 +0530 Subject: [PATCH 067/106] Updated realtive displacement for validation --- examples/ex5/ex5.cpp | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 40a2fcae..e5e22ea6 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -625,12 +625,12 @@ void CustomPlot() { unsigned int plotIndex = i * ndim; double xCordLocal, yCordLocal, zCordLocal; if (outputRelativeDisplacement) { - double xCord = displacements[plotNode] - yInt[9]; - double yCord = displacements[plotNode + 1] - yInt[10]; - double zCord = displacements[plotNode + 2] - yInt[11]; - xCordLocal = xCord*unitVec[0] + yCord*unitVec[1] + zCord*unitVec[2]; - yCordLocal = xCord*unitVec[3] + yCord*unitVec[4] + zCord*unitVec[5]; - zCordLocal = xCord*unitVec[6] + yCord*unitVec[7] + zCord*unitVec[8]; + double xCord = displacements[plotNode] + coordinates[plotNode] - yInt[9]; + double yCord = displacements[plotNode + 1] + coordinates[plotNode + 1] - yInt[10]; + double zCord = displacements[plotNode + 2] + coordinates[plotNode + 2] - yInt[11]; + xCordLocal = xCord*unitVec[0] + yCord*unitVec[1] + zCord*unitVec[2] - coordinates[plotNode]; + yCordLocal = xCord*unitVec[3] + yCord*unitVec[4] + zCord*unitVec[5] - coordinates[plotNode + 1]; + zCordLocal = xCord*unitVec[6] + yCord*unitVec[7] + zCord*unitVec[8] - coordinates[plotNode + 2]; } else { xCordLocal = displacements[plotNode]; yCordLocal = displacements[plotNode + 1]; From 0075ae8c4804520d69f7c63b3c38e704d92d8bb2 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 7 Oct 2021 14:50:35 +0530 Subject: [PATCH 068/106] Output json split to multiple files to improve load time --- examples/ex5/ex5.cpp | 22 +++++++++++++++++++--- examples/ex5/updateOutputJson.py | 12 ++++++++---- 2 files changed, 27 insertions(+), 7 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index e5e22ea6..07df372f 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -1433,9 +1433,9 @@ void WriteOutputFile() { // Calculate cumulative volume on all ranks MPI_Allreduce(MPI_IN_PLACE, thresholdVolume, 6, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); + double totalVolume = 0.0; if (world_rank == 0) { // Excluded PID hardcoded for CSDM computation - double totalVolume = 0.0; for (int i = 0; i < nPIDglobal; ++i) { bool include = true; for (int j = 0; j < injuryExcludePIDCount; ++j) { @@ -1524,7 +1524,23 @@ void WriteOutputFile() { elementList[j] = fullElemList[j]; } free(fullElemList); - output[jsonOutputTag[i]]["global-element-id"] = elementList; + // output[jsonOutputTag[i]]["global-element-id"] = elementList; + Json::Value outputThreshold; + outputThreshold["global-element-id"] = elementList; + Json::StreamWriterBuilder builder; + builder["commentStyle"] = "None"; + builder["indentation"] = " "; + std::unique_ptr writer(builder.newStreamWriter()); + std::ofstream oFile(jsonOutputTag[i] + ".json"); + + if (i < csdmCount) { + outputThreshold["value"] = thresholdVolume[i] / totalVolume; + } else { + int ind = i - csdmCount; + outputThreshold["value"] = percentileValue[ind]; + outputThreshold["time"] = percentileTime[ind]; + } + writer->write(outputThreshold, &oFile); } free(localElemList); MPI_Barrier(MPI_COMM_WORLD); @@ -1544,7 +1560,7 @@ void WriteOutputFile() { std::ofstream oFile(uid + "_output.json"); writer->write(output, &oFile); } - FILE_LOG_MASTER(INFO, "Json output file written"); + FILE_LOG_MASTER(INFO, "Json output files written"); } void InitInjuryCriteria(void) { diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index fc95bfe4..73448f6f 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -107,14 +107,18 @@ # Loop over metric with multiple element output for metric in threshInjuryMetrics: - maxLocation = outputJson[metric]["global-element-id"] + jsonOutputFileMetric = metric + '.json' + outputJsonMetric = json.loads(open(jsonOutputFileMetric).read()) + maxLocation = outputJsonMetric["global-element-id"] for part in partList: - outputJson[metric][part] = [] + outputJsonMetric[part] = [] for loc in maxLocation: maxLine = linecache.getline(cellDataFile, int(loc)).split() - outputJson[metric][maxLine[4]].append([float(maxLine[1]), \ + outputJsonMetric[maxLine[4]].append([float(maxLine[1]), \ float(maxLine[2]), float(maxLine[3])]) - outputJson[metric].pop("global-element-id", None) + outputJsonMetric.pop("global-element-id", None) + with open(jsonOutputFileMetric, 'w') as outfile: + json.dump(outputJsonMetric, outfile, indent = 2, sort_keys=False) # Add max quantities outputJson["max-linear-acc-g"] = maxG From 092bb874f993d3965dd2d5097bed17c0c32512a1 Mon Sep 17 00:00:00 2001 From: RitikaMenghani <36120424+RitikaMenghani@users.noreply.github.com> Date: Fri, 8 Oct 2021 13:21:46 -0400 Subject: [PATCH 069/106] Update materials.dat --- examples/ex5/materials.dat | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/examples/ex5/materials.dat b/examples/ex5/materials.dat index c7af0e27..e83d56a8 100644 --- a/examples/ex5/materials.dat +++ b/examples/ex5/materials.dat @@ -1,13 +1,13 @@ -0 0 2000 -1 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -2 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -3 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -4 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -5 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -6 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -7 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -8 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -9 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +0 0 2000 +1 1 1040 50000 21966666.66667 +2 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +3 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +4 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +5 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +6 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +7 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +8 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +9 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 # form of file From 2cb2af6fb3a4b086a9a032ba324628581ff72974 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 8 Oct 2021 23:57:27 +0530 Subject: [PATCH 070/106] Changes to test corresponding to materials.dat change --- examples/ex19/CMakeLists.txt | 1 - examples/ex5/test_ex5.sh | 4 ++-- 2 files changed, 2 insertions(+), 3 deletions(-) diff --git a/examples/ex19/CMakeLists.txt b/examples/ex19/CMakeLists.txt index eb10cbb2..dfcdb4e1 100644 --- a/examples/ex19/CMakeLists.txt +++ b/examples/ex19/CMakeLists.txt @@ -14,7 +14,6 @@ file(INSTALL 1-elt-cube.k DESTINATION .) file(INSTALL materials.dat DESTINATION .) file(INSTALL gnuplot.script DESTINATION .) file(INSTALL README.md DESTINATION .) -file(INSTALL ls-dyna DESTINATION .) file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results) file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results/vtu) diff --git a/examples/ex5/test_ex5.sh b/examples/ex5/test_ex5.sh index b306f610..ec3857db 100755 --- a/examples/ex5/test_ex5.sh +++ b/examples/ex5/test_ex5.sh @@ -12,8 +12,8 @@ testInputFiles=( pt x ) # Values of element id expected in the order, max-shear, min-principal, # max-principal value_p1=( 9821 7323 10243 ) -value_pt=( 13880 13880 9867 ) -value_x=( 7838 7838 7838 ) +value_pt=( 7740 14281 7748 ) +value_x=( 7960 7960 7963 ) value_s=( 7740 7740 7740 ) # Run all tests and check output From ef73d0aad30dd3a64515bc3e683fd4de7baa078f Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 14 Oct 2021 02:15:38 +0530 Subject: [PATCH 071/106] Set initial angular velocity to zero --- examples/ex5/ex5.cpp | 13 +++++++++++++ 1 file changed, 13 insertions(+) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 07df372f..7f5e73fd 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -846,6 +846,19 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { for (int i = 0; i < angVelZSize; ++i) { angVelZt[i] = 0.001 * angVelZt[i]; } + // Subtract the initial angular velocity from data + const double xZero = angVelXv[0]; + for (int i = 0; i < angVelXSize; ++i) { + angVelXv[i] -= xZero; + } + const double yZero = angVelYv[0]; + for (int i = 0; i < angVelYSize; ++i) { + angVelYv[i] -= yZero; + } + const double zZero = angVelZv[0]; + for (int i = 0; i < angVelZSize; ++i) { + angVelZv[i] -= zZero; + } } else { for (int i = 0; i < angAccXSize; ++i) { angAccXt[i] = 0.001 * angAccXt[i]; From 69615db4770384c2ef8ec89d04a27ce925a6fd1b Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 16 Oct 2021 01:10:51 +0530 Subject: [PATCH 072/106] Output update changes for custom mesh --- examples/ex5/updateOutputJson.py | 57 +++++++++++++++++--------------- 1 file changed, 31 insertions(+), 26 deletions(-) diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index 73448f6f..7c3cc82f 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -85,10 +85,13 @@ outputJson = json.loads(open(jsonOutputFile).read()) if (not 'compute-injury-criteria' in inputJson['simulation']) or inputJson['simulation']['compute-injury-criteria']: - meshType = outputJson["output-file"].split('_')[0] + meshFileParts = outputJson["output-file"].split('_') + if 'coarse' in meshFileParts: + meshType = 'coarse' + else: + meshType = 'fine' cellDataFile = meshType + '_cellcentres.txt' - # Populate region from cell centres file maxInjuryMetrics = ["principal-max-strain", "principal-min-strain", "maximum-shear-strain", "maximum-PSxSR"]; @@ -147,30 +150,32 @@ xVal = np.zeros(nRow) yVal = np.zeros(nRow) zVal = np.zeros(nRow) - for n, node in enumerate(inputJson['simulation']['output-nodes']): - nodeStr = 'Node'+'%08d'%node+'-Disp' - csv_file.seek(0) - # Go to next item to skip header - next(csv_reader) - for i, row in enumerate(csv_reader): - xVal[i] = row[nodeStr+'X'] - yVal[i] = row[nodeStr+'Y'] - zVal[i] = row[nodeStr+'Z'] - outputJson['plot']['nodal-displacement-'+str(n)] = {} - outputJson['plot']['nodal-displacement-'+str(n)]['x'] = xVal.tolist(); - outputJson['plot']['nodal-displacement-'+str(n)]['y'] = yVal.tolist(); - outputJson['plot']['nodal-displacement-'+str(n)]['z'] = zVal.tolist(); - for n, element in enumerate(inputJson['simulation']['output-elements']): - elemStr = 'Elem'+'%08d'%element+'-Stre' - csv_file.seek(0) - # Go to next item to skip header - next(csv_reader) - for i, row in enumerate(csv_reader): - xVal[i] = row[elemStr+'P'] - yVal[i] = row[elemStr+'S'] - outputJson['plot']['element-stress-'+str(n)] = {} - outputJson['plot']['element-stress-'+str(n)]['principal'] = xVal.tolist(); - outputJson['plot']['element-stress-'+str(n)]['shear'] = yVal.tolist(); + if 'output-nodes' in inputJson['simulation']: + for n, node in enumerate(inputJson['simulation']['output-nodes']): + nodeStr = 'Node'+'%08d'%node+'-Disp' + csv_file.seek(0) + # Go to next item to skip header + next(csv_reader) + for i, row in enumerate(csv_reader): + xVal[i] = row[nodeStr+'X'] + yVal[i] = row[nodeStr+'Y'] + zVal[i] = row[nodeStr+'Z'] + outputJson['plot']['nodal-displacement-'+str(n)] = {} + outputJson['plot']['nodal-displacement-'+str(n)]['x'] = xVal.tolist(); + outputJson['plot']['nodal-displacement-'+str(n)]['y'] = yVal.tolist(); + outputJson['plot']['nodal-displacement-'+str(n)]['z'] = zVal.tolist(); + if 'output-elements' in inputJson['simulation']: + for n, element in enumerate(inputJson['simulation']['output-elements']): + elemStr = 'Elem'+'%08d'%element+'-Stre' + csv_file.seek(0) + # Go to next item to skip header + next(csv_reader) + for i, row in enumerate(csv_reader): + xVal[i] = row[elemStr+'P'] + yVal[i] = row[elemStr+'S'] + outputJson['plot']['element-stress-'+str(n)] = {} + outputJson['plot']['element-stress-'+str(n)]['principal'] = xVal.tolist(); + outputJson['plot']['element-stress-'+str(n)]['shear'] = yVal.tolist(); if 'impact-time' in inputJson: outputJson['impact-time'] = inputJson['impact-time'] From b2bf6dc70ce454ebc71e4c1ae946391ac77b11b9 Mon Sep 17 00:00:00 2001 From: RitikaMenghani <36120424+RitikaMenghani@users.noreply.github.com> Date: Fri, 15 Oct 2021 20:12:18 -0400 Subject: [PATCH 073/106] Update input_test_hardyc288t3.json node ID for ndt 1 was incorrect, now it's fixed --- examples/ex5/input_test_hardyc288t3.json | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ex5/input_test_hardyc288t3.json b/examples/ex5/input_test_hardyc288t3.json index 4640eef9..8de35155 100644 --- a/examples/ex5/input_test_hardyc288t3.json +++ b/examples/ex5/input_test_hardyc288t3.json @@ -1818,7 +1818,7 @@ "maximum-time" : 40, "mesh-transformation" : ["y", "-z", "-x"], "head-cg" : [0.0, -0.335, -0.018], - "output-nodes" : [17093, 16764, 16025, 16127, 16767, 15942, 15944, 16277, 17071, 16802, 16151, 16052, 16150, 16744], + "output-nodes" : [10793, 16764, 16025, 16127, 16767, 15942, 15944, 16277, 17071, 16802, 16151, 16052, 16150, 16744], "relative-displacement" : true, "write-vtu" : true } From cf155cc7dd6f73bab7bb15f7181a9a6350376737 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 16 Oct 2021 23:17:09 +0530 Subject: [PATCH 074/106] Working reduced integration --- examples/ex1/ex1.cpp | 1 + examples/ex10/ex10.cpp | 2 +- examples/ex18/ex18.cpp | 1 + examples/ex19/ex19.cpp | 2 +- examples/ex5/ex5.cpp | 10 +- examples/ex5/input_test_pt.json | 3 +- examples/ex5/test_ex5.sh | 2 +- examples/ex9/ex9.cpp | 2 +- include/GlobalVariables.h | 2 +- src/fem/AllocateArrays.cpp | 2 +- src/io/input/ReadAbaqus.cpp | 3 + src/io/input/ReadLsDyna.cpp | 573 +++++++++++++++++--------------- src/io/output/FreeArrays.cpp | 2 +- 13 files changed, 321 insertions(+), 284 deletions(-) diff --git a/examples/ex1/ex1.cpp b/examples/ex1/ex1.cpp index f4e43ef1..c77b5136 100644 --- a/examples/ex1/ex1.cpp +++ b/examples/ex1/ex1.cpp @@ -4,6 +4,7 @@ bool ImplicitDynamic = true; bool ExplicitDynamic = false; +bool reducedIntegration = true; double Time = 0.0; diff --git a/examples/ex10/ex10.cpp b/examples/ex10/ex10.cpp index 21d122eb..1e259977 100644 --- a/examples/ex10/ex10.cpp +++ b/examples/ex10/ex10.cpp @@ -16,7 +16,7 @@ int nPlotSteps = 50; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; - +bool reducedIntegration = true; double dynamicDamping = 0.01; diff --git a/examples/ex18/ex18.cpp b/examples/ex18/ex18.cpp index 363e2648..f77e65fd 100644 --- a/examples/ex18/ex18.cpp +++ b/examples/ex18/ex18.cpp @@ -40,6 +40,7 @@ int nPlotSteps = 50; int nWriteSteps = 2000; double dynamicDamping = 0.01; +bool reducedIntegration = true; /* Global variables used only in this file */ int nodeIDtoPlot; diff --git a/examples/ex19/ex19.cpp b/examples/ex19/ex19.cpp index 91bcccc4..9d956520 100644 --- a/examples/ex19/ex19.cpp +++ b/examples/ex19/ex19.cpp @@ -21,7 +21,7 @@ int nFieldSkip = 1; // 1 in nFieldSkip plot steps will be used to output VTU bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; -bool RI = true; +bool reducedIntegration = true; // Parameters of simple tension test double tMax = 1.00; // max simulation time in seconds diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 83ef3990..682d4b7d 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -36,7 +36,7 @@ int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; -bool RI = true; +bool reducedIntegration = true; double dynamicDamping = 0.000; double ExplicitTimeStepReduction = 0.8; @@ -158,6 +158,8 @@ std::string outputFileName; int main(int argc, char **argv) { // Initialize FemTech including logfile and MPI Json::Value inputJson = InitFemTech(argc, argv); + + // Processing various solver and output flags from the json file Json::Value simulationJson = inputJson["simulation"]; std::string meshFile = simulationJson["mesh"].asString(); @@ -169,6 +171,12 @@ int main(int argc, char **argv) { if (!simulationJson["compute-injury-criteria"].empty()) { computeInjuryFlag = simulationJson["compute-injury-criteria"].asBool(); } + if (!simulationJson["reduced-integration"].empty()) { + reducedIntegration = simulationJson["reduced-integration"].asBool(); + } + if (reducedIntegration) { + FILE_LOG_MASTER(INFO, "Solver using reduced integration"); + } FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); // Read Input Mesh file and equally partition elements among processes ReadInputFile(meshFile.c_str()); diff --git a/examples/ex5/input_test_pt.json b/examples/ex5/input_test_pt.json index 9c71c173..cab75681 100644 --- a/examples/ex5/input_test_pt.json +++ b/examples/ex5/input_test_pt.json @@ -137,6 +137,7 @@ "maximum-time" : 0.2, "mesh-transformation" : ["-y", "z", "-x"], "head-cg" : [0.0, -0.3308, -0.037], - "write-vtu" : true + "write-vtu" : true, + "reduced-integration" : false } } diff --git a/examples/ex5/test_ex5.sh b/examples/ex5/test_ex5.sh index ec3857db..7fb615ce 100755 --- a/examples/ex5/test_ex5.sh +++ b/examples/ex5/test_ex5.sh @@ -13,7 +13,7 @@ testInputFiles=( pt x ) # max-principal value_p1=( 9821 7323 10243 ) value_pt=( 7740 14281 7748 ) -value_x=( 7960 7960 7963 ) +value_x=( 7932 7932 7863 ) value_s=( 7740 7740 7740 ) # Run all tests and check output diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index f83dd1b6..b0586ad4 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -31,7 +31,7 @@ int nFieldSkip = 1; // 1 in nFieldSkip plot steps will be used to output VTU bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; -bool RI = true; +bool reducedIntegration = true; // Parameters of simple tension test double tMax = 1.00; // max simulation time in seconds diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index 5ef9f73f..65205e6a 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -17,7 +17,7 @@ static const int elemWeight[] = {2, 1, 1, 1}; const double huge = 1e20; extern double dynamicDamping; -extern bool RI; +extern bool reducedIntegration; extern std::string uid; /* Simulation unique id */ extern int nparts; diff --git a/src/fem/AllocateArrays.cpp b/src/fem/AllocateArrays.cpp index 1a6f54b9..39ff25f2 100644 --- a/src/fem/AllocateArrays.cpp +++ b/src/fem/AllocateArrays.cpp @@ -126,7 +126,7 @@ void AllocateArrays() { FILE_LOG_SINGLE(ERROR, "Error in allocating f_damp_prev array"); TerminateFemTech(12); } - if (RI) { + if (reducedIntegration) { f_hg = (double*)calloc(nDOF, sizeof(double)); // Internal Nodal force vector if (!f_hg) { FILE_LOG_SINGLE(ERROR, "Error in allocating f_hg array"); diff --git a/src/io/input/ReadAbaqus.cpp b/src/io/input/ReadAbaqus.cpp index f701c68c..e8c2c3ff 100644 --- a/src/io/input/ReadAbaqus.cpp +++ b/src/io/input/ReadAbaqus.cpp @@ -138,6 +138,9 @@ bool ReadAbaqus(const char *FileName) { eptr[j] = eptr[j - 1] + n; ConnectivitySize = ConnectivitySize + n; Type[MAX_ELEMENT_TYPE_SIZE - 1] = 0; + if (!strcmp(Type, "C3D8") && reducedIntegration) { + strncpy(Type, "C3D8R", MAX_ELEMENT_TYPE_SIZE); + } strcpy(ElementType[pi], Type); strcpy(ElSetNames[pi], ElSetName); pi = pi + 1; diff --git a/src/io/input/ReadLsDyna.cpp b/src/io/input/ReadLsDyna.cpp index b1a686e3..33edb6db 100644 --- a/src/io/input/ReadLsDyna.cpp +++ b/src/io/input/ReadLsDyna.cpp @@ -2,323 +2,346 @@ #include -#define TITLE_ELEMENT_SOLID "*ELEMENT_SOLID" -#define TITLE_ELEMENT_SHELL "*ELEMENT_SHELL" -#define TITLE_ELEMENT_BEAM "*ELEMENT_BEAM" -#define TITLE_NODE "*NODE" -#define TITLE_END "*END" +#define TITLE_ELEMENT_SOLID "*ELEMENT_SOLID" +#define TITLE_ELEMENT_SHELL "*ELEMENT_SHELL" +#define TITLE_ELEMENT_BEAM "*ELEMENT_BEAM" +#define TITLE_NODE "*NODE" +#define TITLE_END "*END" //------------------------------------------------------------------------------------------- -static bool IsElementSection(char *Line, FILE *File, int *NDimExceptRuleExists = NULL) { - const bool ElementSection = - strncmp(Line, TITLE_ELEMENT_SOLID, strlen(TITLE_ELEMENT_SOLID)) == 0 || - strncmp(Line, TITLE_ELEMENT_SHELL, strlen(TITLE_ELEMENT_SHELL)) == 0 || - strncmp(Line, TITLE_ELEMENT_BEAM, strlen(TITLE_ELEMENT_BEAM)) == 0; +static bool IsElementSection(char *Line, FILE *File, + int *NDimExceptRuleExists = NULL) { + const bool ElementSection = + strncmp(Line, TITLE_ELEMENT_SOLID, strlen(TITLE_ELEMENT_SOLID)) == 0 || + strncmp(Line, TITLE_ELEMENT_SHELL, strlen(TITLE_ELEMENT_SHELL)) == 0 || + strncmp(Line, TITLE_ELEMENT_BEAM, strlen(TITLE_ELEMENT_BEAM)) == 0; - if (ElementSection) { - if (NDimExceptRuleExists != NULL && strncmp(Line, TITLE_ELEMENT_BEAM, strlen(TITLE_ELEMENT_BEAM)) == 0) { - *NDimExceptRuleExists = 1; - } - char* read = fgets(Line, MAX_FILE_LINE * sizeof(char), File); - assert(read != NULL); + if (ElementSection) { + if (NDimExceptRuleExists != NULL && + strncmp(Line, TITLE_ELEMENT_BEAM, strlen(TITLE_ELEMENT_BEAM)) == 0) { + *NDimExceptRuleExists = 1; } - return ElementSection; + char *read = fgets(Line, MAX_FILE_LINE * sizeof(char), File); + assert(read != NULL); + } + return ElementSection; } //------------------------------------------------------------------------------------------- static bool IsNodeSection(char *Line) { - return strncmp(Line, TITLE_NODE, strlen(TITLE_NODE)) == 0; + return strncmp(Line, TITLE_NODE, strlen(TITLE_NODE)) == 0; } //------------------------------------------------------------------------------------------- static int CalcUniqueValues(const int *Array, const int Size) { - int Result = 1; - for (int i = 1; i < Size; i++) { - int j = 0; - for (j = 0; j < i; j++) { - if (Array[i] == Array[j]) { - break; - } - } - if (i == j) { - Result++; - } + int Result = 1; + for (int i = 1; i < Size; i++) { + int j = 0; + for (j = 0; j < i; j++) { + if (Array[i] == Array[j]) { + break; + } + } + if (i == j) { + Result++; } - return Result; + } + return Result; } //------------------------------------------------------------------------------------------- bool ReadLsDyna(const char *FileName) { - // Checking if mesh file can be opened or not - FILE *File; - if ((File = fopen(FileName, "rb")) == NULL) { - FILE_LOG_SINGLE(ERROR, "Cannot open input mesh file"); - return false; - } + // Checking if mesh file can be opened or not + FILE *File; + if ((File = fopen(FileName, "rb")) == NULL) { + FILE_LOG_SINGLE(ERROR, "Cannot open input mesh file"); + return false; + } - // Counting number of elements in elements section of mesh file - // And fixing elements and nodes sections' positions in the file - const char *Delim = " \t"; - char Line[MAX_FILE_LINE]; - long ElementsSectionPos = -1, NodesSectionPos = -1, CurrentPos = ftell(File);; - int NDimExceptRuleExists = 0; - ndim = 0; - while (fgets(Line, sizeof(Line), File) != NULL) { - if (IsElementSection(Line, File, &NDimExceptRuleExists)) { - if (ElementsSectionPos == -1) { - ElementsSectionPos = CurrentPos; - } - long LastValidElemDataLinePos = -1; - while (fgets(Line, sizeof(Line), File) != NULL) { - if (LineToArray(true, false, 2, 1, Line) == 0 || LineToArray(true, true, 3, 0, Line) == 0) { - break; - } - nallelements++; - LastValidElemDataLinePos = ftell(File); - } - if (fseek(File, LastValidElemDataLinePos, SEEK_SET) != 0) { - FILE_LOG_SINGLE(ERROR, "'fseek()' call for LastValidElemDataLinePos failed"); - } + // Counting number of elements in elements section of mesh file + // And fixing elements and nodes sections' positions in the file + const char *Delim = " \t"; + char Line[MAX_FILE_LINE]; + long ElementsSectionPos = -1, NodesSectionPos = -1, CurrentPos = ftell(File); + ; + int NDimExceptRuleExists = 0; + ndim = 0; + while (fgets(Line, sizeof(Line), File) != NULL) { + if (IsElementSection(Line, File, &NDimExceptRuleExists)) { + if (ElementsSectionPos == -1) { + ElementsSectionPos = CurrentPos; + } + long LastValidElemDataLinePos = -1; + while (fgets(Line, sizeof(Line), File) != NULL) { + if (LineToArray(true, false, 2, 1, Line) == 0 || + LineToArray(true, true, 3, 0, Line) == 0) { + break; } - else if (NodesSectionPos == -1 && IsNodeSection(Line)) { - bool Dim3Exists = false; - while (!Dim3Exists && fgets(Line, sizeof(Line), File) != NULL) { - if (ndim == 0 && strstr(Line, "nid") != NULL) { - // Defining ndim using x, y, z column names - if (strstr(Line, "x") != NULL) { - ndim = ndim + 1; - } - if (strstr(Line, "y") != NULL) { - ndim = ndim + 1; - } - if (strstr(Line, "z") != NULL) { - ndim = ndim + 1; - } - if (ndim == 2 || ndim == 3) { - NodesSectionPos = ftell(File); - } - } - else if (ndim == 3) { - // if ndim is 3, let's check values of rows of Z column - // Dim3Exists gets TRUE if there is a non-zero row - double *ZColumnValue; - if (LineToArray(false, false, 4, 1, Line, Delim, (void**)&ZColumnValue) > 0) { - Dim3Exists = ZColumnValue[0] != 0; - free(ZColumnValue); - } - } - } - // Even each row in Z column of NODE section is 0, ndim will be 3 IF input file contains ELEMENT_BEAM section - // For ELEMENT_SHELL and ELEMENT_SOLID files, ndim will be 2 IF there are not non-zero rows in Z column - if (ndim == 2 || ndim == 3) { - if (!Dim3Exists && NDimExceptRuleExists == 0) { - ndim = 2; - } - } + nallelements++; + LastValidElemDataLinePos = ftell(File); + } + if (fseek(File, LastValidElemDataLinePos, SEEK_SET) != 0) { + FILE_LOG_SINGLE(ERROR, + "'fseek()' call for LastValidElemDataLinePos failed"); + } + } else if (NodesSectionPos == -1 && IsNodeSection(Line)) { + bool Dim3Exists = false; + while (!Dim3Exists && fgets(Line, sizeof(Line), File) != NULL) { + if (ndim == 0 && strstr(Line, "nid") != NULL) { + // Defining ndim using x, y, z column names + if (strstr(Line, "x") != NULL) { + ndim = ndim + 1; + } + if (strstr(Line, "y") != NULL) { + ndim = ndim + 1; + } + if (strstr(Line, "z") != NULL) { + ndim = ndim + 1; + } + if (ndim == 2 || ndim == 3) { + NodesSectionPos = ftell(File); + } + } else if (ndim == 3) { + // if ndim is 3, let's check values of rows of Z column + // Dim3Exists gets TRUE if there is a non-zero row + double *ZColumnValue; + if (LineToArray(false, false, 4, 1, Line, Delim, + (void **)&ZColumnValue) > 0) { + Dim3Exists = ZColumnValue[0] != 0; + free(ZColumnValue); + } } - - if (ElementsSectionPos == -1) { - CurrentPos = ftell(File); + } + // Even each row in Z column of NODE section is 0, ndim will be 3 IF input + // file contains ELEMENT_BEAM section For ELEMENT_SHELL and ELEMENT_SOLID + // files, ndim will be 2 IF there are not non-zero rows in Z column + if (ndim == 2 || ndim == 3) { + if (!Dim3Exists && NDimExceptRuleExists == 0) { + ndim = 2; } + } } - // Checking if elements and nodes were found in mesh file - // And checking if we can be back to elements section in the file - int fseeked = 0; - if (nallelements == 0 || NodesSectionPos == -1 || (fseeked = fseek(File, ElementsSectionPos, SEEK_SET)) != 0) { - fclose(File); - if (nallelements == 0) { - FILE_LOG_SINGLE(ERROR, "No element found. This means input file is empty or contains invalid data"); - } - if (NodesSectionPos == -1) { - FILE_LOG_SINGLE(ERROR, "Node section not found. This means input file is empty or contains invalid data"); - } - if (fseeked != 0) { - FILE_LOG_SINGLE(ERROR, "'fseek()' call for ElementsSectionPos failed"); - } - return false; + if (ElementsSectionPos == -1) { + CurrentPos = ftell(File); } + } - // Determining number/count of elements processor will hold - nelements = nallelements / world_size; - if (world_rank == world_size - 1) { - nelements += (nallelements % world_size); + // Checking if elements and nodes were found in mesh file + // And checking if we can be back to elements section in the file + int fseeked = 0; + if (nallelements == 0 || NodesSectionPos == -1 || + (fseeked = fseek(File, ElementsSectionPos, SEEK_SET)) != 0) { + fclose(File); + if (nallelements == 0) { + FILE_LOG_SINGLE(ERROR, "No element found. This means input file is empty " + "or contains invalid data"); } + if (NodesSectionPos == -1) { + FILE_LOG_SINGLE(ERROR, "Node section not found. This means input file is " + "empty or contains invalid data"); + } + if (fseeked != 0) { + FILE_LOG_SINGLE(ERROR, "'fseek()' call for ElementsSectionPos failed"); + } + return false; + } - // Fixing range of lines (in elements section of mesh file) from which processor will read its own elements - const int From = world_rank * (nallelements / world_size); - const int To = From + nelements - 1; - - // Creating and initializing "eptr" array, and determining size of "connectivity" array of processor - eptr = (int *)calloc(nelements + 1, sizeof(int)); - int i = 0, j = 0, ConnectivitySize = 0; - while (fgets(Line, sizeof(Line), File) != NULL) { - if (IsElementSection(Line, File)) { + // Determining number/count of elements processor will hold + nelements = nallelements / world_size; + if (world_rank == world_size - 1) { + nelements += (nallelements % world_size); + } - long LastValidElemDataLinePos = -1; - while (fgets(Line, sizeof(Line), File) != NULL) { - const int np = LineToArray(true, false, 2, 1, Line); - const int nn = LineToArray(true, true, 3, 0, Line); - if (np == 0 || nn == 0) { - break; - } - if (i >= From && i <= To) { - j = j + 1; - eptr[j] = eptr[j - 1] + nn; - ConnectivitySize = ConnectivitySize + nn; - } - i = i + 1; - LastValidElemDataLinePos = ftell(File); - } + // Fixing range of lines (in elements section of mesh file) from which + // processor will read its own elements + const int From = world_rank * (nallelements / world_size); + const int To = From + nelements - 1; - if (fseek(File, LastValidElemDataLinePos, SEEK_SET) != 0) { - FILE_LOG_SINGLE(ERROR, "'fseek()' call for LastValidElemDataLinePos failed"); - } - } - } + // Creating and initializing "eptr" array, and determining size of + // "connectivity" array of processor + eptr = (int *)calloc(nelements + 1, sizeof(int)); + int i = 0, j = 0, ConnectivitySize = 0; + while (fgets(Line, sizeof(Line), File) != NULL) { + if (IsElementSection(Line, File)) { - // Checking if calculated size of connectivity array is valid - // And checking if we can be back to elements section of mesh file - if (ConnectivitySize != eptr[nelements] || fseek(File, ElementsSectionPos, SEEK_SET) != 0) { - fclose(File); - FreeArrays(); - if (ConnectivitySize != eptr[nelements]) { - FILE_LOG_SINGLE(ERROR, "Size of 'eind' array is not vald"); + long LastValidElemDataLinePos = -1; + while (fgets(Line, sizeof(Line), File) != NULL) { + const int np = LineToArray(true, false, 2, 1, Line); + const int nn = LineToArray(true, true, 3, 0, Line); + if (np == 0 || nn == 0) { + break; } - else { - FILE_LOG_SINGLE(ERROR, "'fseek()' call failed"); + if (i >= From && i <= To) { + j = j + 1; + eptr[j] = eptr[j - 1] + nn; + ConnectivitySize = ConnectivitySize + nn; } - return false; + i = i + 1; + LastValidElemDataLinePos = ftell(File); + } + + if (fseek(File, LastValidElemDataLinePos, SEEK_SET) != 0) { + FILE_LOG_SINGLE(ERROR, + "'fseek()' call for LastValidElemDataLinePos failed"); + } } + } - // Creating and initializing "connectivity", "pid" and "ElementType" arrays for processor - connectivity = (int *)calloc(ConnectivitySize, sizeof(int)); - pid = (int *)calloc(nelements, sizeof(int)); - global_eid = (int *)malloc(nelements*sizeof(int)); - ElementType = (char **)calloc(nelements, sizeof(char *)); - for (int i1 = 0; i1 < nelements; i1++) { - ElementType[i1] = (char *)calloc(MAX_ELEMENT_TYPE_SIZE, sizeof(char)); + // Checking if calculated size of connectivity array is valid + // And checking if we can be back to elements section of mesh file + if (ConnectivitySize != eptr[nelements] || + fseek(File, ElementsSectionPos, SEEK_SET) != 0) { + fclose(File); + FreeArrays(); + if (ConnectivitySize != eptr[nelements]) { + FILE_LOG_SINGLE(ERROR, "Size of 'eind' array is not vald"); + } else { + FILE_LOG_SINGLE(ERROR, "'fseek()' call failed"); } - i = 0; - int ci = 0, pi = 0; - while (fgets(Line, sizeof(Line), File) != NULL) { - if (IsElementSection(Line, File)) { + return false; + } - long LastValidElemDataLinePos = -1; - while (fgets(Line, sizeof(Line), File) != NULL) { - int *PIDs, *Nodes, *eids, *sID; - const int ne = LineToArray(true, false, 1, 1, Line, Delim, (void**)&eids); - const int np = LineToArray(true, false, 2, 1, Line, Delim, (void**)&PIDs); - const int nn = LineToArray(true, true, 3, 0, Line, Delim, (void**)&Nodes); - int secID = LineToArray(true, true, 3, 0, Line, Delim, (void**)&sID); - if (np == 0 || nn == 0 || ne == 0) { - if (np > 0) { - free(PIDs); - } - if (nn > 0) { - free(Nodes); - } - if (ne > 0) { - free(eids); - } - break; - } - if (i >= From && i <= To) { - pid[pi] = PIDs[0]-1; - global_eid[pi] = eids[0]; + // Creating and initializing "connectivity", "pid" and "ElementType" arrays + // for processor + connectivity = (int *)calloc(ConnectivitySize, sizeof(int)); + pid = (int *)calloc(nelements, sizeof(int)); + global_eid = (int *)malloc(nelements * sizeof(int)); + ElementType = (char **)calloc(nelements, sizeof(char *)); + for (int i1 = 0; i1 < nelements; i1++) { + ElementType[i1] = (char *)calloc(MAX_ELEMENT_TYPE_SIZE, sizeof(char)); + } + i = 0; + int ci = 0, pi = 0; + while (fgets(Line, sizeof(Line), File) != NULL) { + if (IsElementSection(Line, File)) { + + long LastValidElemDataLinePos = -1; + while (fgets(Line, sizeof(Line), File) != NULL) { + int *PIDs, *Nodes, *eids, *sID; + const int ne = + LineToArray(true, false, 1, 1, Line, Delim, (void **)&eids); + const int np = + LineToArray(true, false, 2, 1, Line, Delim, (void **)&PIDs); + const int nn = + LineToArray(true, true, 3, 0, Line, Delim, (void **)&Nodes); + int secID = LineToArray(true, true, 3, 0, Line, Delim, (void **)&sID); + if (np == 0 || nn == 0 || ne == 0) { + if (np > 0) { + free(PIDs); + } + if (nn > 0) { + free(Nodes); + } + if (ne > 0) { + free(eids); + } + break; + } + if (i >= From && i <= To) { + pid[pi] = PIDs[0] - 1; + global_eid[pi] = eids[0]; - const int N = nn == 8 ? CalcUniqueValues(Nodes, nn) : nn; - if (N > 4) { - if(!RI) - strcpy(ElementType[pi], "C3D8"); - else strcpy(ElementType[pi], "C3D8R"); - } - else if (N == 4) { - strcpy(ElementType[pi], "C3D4"); - } - else if (N == 2) { - strcpy(ElementType[pi], "T3D2"); - } - else { - FILE_LOG_SINGLE(ERROR, "Unknown element type \"%d\" in line %s", N, Line); - } - - pi = pi + 1; + const int N = nn == 8 ? CalcUniqueValues(Nodes, nn) : nn; + if (N > 4) { + if (!reducedIntegration) + strcpy(ElementType[pi], "C3D8"); + else + strcpy(ElementType[pi], "C3D8R"); + } else if (N == 4) { + strcpy(ElementType[pi], "C3D4"); + } else if (N == 2) { + strcpy(ElementType[pi], "T3D2"); + } else { + FILE_LOG_SINGLE(ERROR, "Unknown element type \"%d\" in line %s", N, + Line); + } - for (int j1 = 0; j1 < nn; j1++) { - connectivity[ci] = Nodes[j1] - 1; - ci = ci + 1; - } - } - free(eids); - free(PIDs); - free(Nodes); - i = i + 1; - LastValidElemDataLinePos = ftell(File); - } + pi = pi + 1; - if (fseek(File, LastValidElemDataLinePos, SEEK_SET) != 0) { - FILE_LOG_SINGLE(ERROR, "'fseek()' call for LastValidElemDataLinePos failed"); - } + for (int j1 = 0; j1 < nn; j1++) { + connectivity[ci] = Nodes[j1] - 1; + ci = ci + 1; + } } - } - assert(pi == nelements); + free(eids); + free(PIDs); + free(Nodes); + i = i + 1; + LastValidElemDataLinePos = ftell(File); + } - // Checking if we can go to nodes section of mesh file - if (fseek(File, NodesSectionPos, SEEK_SET) != 0) { - fclose(File); - FreeArrays(); - FILE_LOG_SINGLE(ERROR, "'fseek()' call failed", world_rank); - return false; + if (fseek(File, LastValidElemDataLinePos, SEEK_SET) != 0) { + FILE_LOG_SINGLE(ERROR, + "'fseek()' call for LastValidElemDataLinePos failed"); + } } + } + assert(pi == nelements); - // Initializing "coordinates" array - int *UniqueConnectivity = (int *)malloc(ConnectivitySize * sizeof(int)); - memcpy(UniqueConnectivity, connectivity, ConnectivitySize * sizeof(int)); - qsort(UniqueConnectivity, ConnectivitySize, sizeof(int), compare); - const int UniqueConnectivitySize = unique(UniqueConnectivity, ConnectivitySize); - const int csize = ndim * sizeof(double); - double *UniqueConnCoordinates = (double *)calloc(UniqueConnectivitySize, csize); - const int nCols = ndim + 1; - int nCopied = 0; - while (nCopied < UniqueConnectivitySize && fgets(Line, sizeof(Line), File) != NULL) { - double *NodeData; - const int n = LineToArray(false, false, 1, nCols, Line, Delim, (void**)&NodeData); - if (n == nCols) { - const int NodeID = int(NodeData[0]) - 1; - const int *p = (const int *)bsearch(&NodeID, UniqueConnectivity, UniqueConnectivitySize, sizeof(int), compare); - if (p != NULL) { - const int I = p - UniqueConnectivity; - memcpy(&UniqueConnCoordinates[I * ndim], &NodeData[1], csize); - nCopied = nCopied + 1; - } - free(NodeData); - } - else if (n > 0) { - free(NodeData); - } - if (strncmp(Line, TITLE_END, strlen(TITLE_END)) == 0) { - break; - } + // Checking if we can go to nodes section of mesh file + if (fseek(File, NodesSectionPos, SEEK_SET) != 0) { + fclose(File); + FreeArrays(); + FILE_LOG_SINGLE(ERROR, "'fseek()' call failed", world_rank); + return false; + } + + // Initializing "coordinates" array + int *UniqueConnectivity = (int *)malloc(ConnectivitySize * sizeof(int)); + memcpy(UniqueConnectivity, connectivity, ConnectivitySize * sizeof(int)); + qsort(UniqueConnectivity, ConnectivitySize, sizeof(int), compare); + const int UniqueConnectivitySize = + unique(UniqueConnectivity, ConnectivitySize); + const int csize = ndim * sizeof(double); + double *UniqueConnCoordinates = + (double *)calloc(UniqueConnectivitySize, csize); + const int nCols = ndim + 1; + int nCopied = 0; + while (nCopied < UniqueConnectivitySize && + fgets(Line, sizeof(Line), File) != NULL) { + double *NodeData; + const int n = + LineToArray(false, false, 1, nCols, Line, Delim, (void **)&NodeData); + if (n == nCols) { + const int NodeID = int(NodeData[0]) - 1; + const int *p = + (const int *)bsearch(&NodeID, UniqueConnectivity, + UniqueConnectivitySize, sizeof(int), compare); + if (p != NULL) { + const int I = p - UniqueConnectivity; + memcpy(&UniqueConnCoordinates[I * ndim], &NodeData[1], csize); + nCopied = nCopied + 1; + } + free(NodeData); + } else if (n > 0) { + free(NodeData); } - nNodes = 0; - coordinates = (double *)malloc(ConnectivitySize * csize); - for (int i1 = 0; i1 < ConnectivitySize; i1++) { - const int *p = (const int *)bsearch(&connectivity[i1], UniqueConnectivity, UniqueConnectivitySize, sizeof(int), compare); - if (p != NULL) { - const int I = p - UniqueConnectivity; - memcpy(&coordinates[i1 * ndim], &UniqueConnCoordinates[I * ndim], csize); - nNodes = nNodes + 1; - } + if (strncmp(Line, TITLE_END, strlen(TITLE_END)) == 0) { + break; } - free(UniqueConnCoordinates); - free(UniqueConnectivity); - - // Checking if "coordinates" array is OK - if (nNodes != ConnectivitySize) { - FreeArrays(); - FILE_LOG_SINGLE(ERROR, "Failed to initialize 'coordinates' array"); - FILE_LOG_SINGLE(ERROR, "nnodes = %d, ConnectivitySize = %d, ndim = %d", nNodes, ConnectivitySize, ndim); + } + nNodes = 0; + coordinates = (double *)malloc(ConnectivitySize * csize); + for (int i1 = 0; i1 < ConnectivitySize; i1++) { + const int *p = + (const int *)bsearch(&connectivity[i1], UniqueConnectivity, + UniqueConnectivitySize, sizeof(int), compare); + if (p != NULL) { + const int I = p - UniqueConnectivity; + memcpy(&coordinates[i1 * ndim], &UniqueConnCoordinates[I * ndim], csize); + nNodes = nNodes + 1; } + } + free(UniqueConnCoordinates); + free(UniqueConnectivity); - // Everything is OK for now. Closing the mesh file, returning TRUE. - fclose(File); - return nNodes == ConnectivitySize; + // Checking if "coordinates" array is OK + if (nNodes != ConnectivitySize) { + FreeArrays(); + FILE_LOG_SINGLE(ERROR, "Failed to initialize 'coordinates' array"); + FILE_LOG_SINGLE(ERROR, "nnodes = %d, ConnectivitySize = %d, ndim = %d", + nNodes, ConnectivitySize, ndim); + } + + // Everything is OK for now. Closing the mesh file, returning TRUE. + fclose(File); + return nNodes == ConnectivitySize; } diff --git a/src/io/output/FreeArrays.cpp b/src/io/output/FreeArrays.cpp index 5555210c..a28a7ce9 100644 --- a/src/io/output/FreeArrays.cpp +++ b/src/io/output/FreeArrays.cpp @@ -97,7 +97,7 @@ void FreeArrays() { // Temperory test variables // free1DArray(F_Xi_0); // Free arrays used for reduced integration - if (RI) { + if (reducedIntegration) { free1DArray(f_hg); free1DArray(f_hgprev); } From 50bb9cbca9d2b9d21e0ed86153cc1fa63ee9a226 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 20 Oct 2021 21:01:20 +0530 Subject: [PATCH 075/106] Updated mesh files --- examples/ex5/CMakeLists.txt | 4 +- examples/ex5/brain.inp | 32262 ---- examples/ex5/coarse_brain_c288_RI.inp | 35665 ---- examples/ex5/coarse_brain_c380_RI.inp | 35662 ---- examples/ex5/fine_brain.inp | 217778 +++++++++++++++++++++++ 5 files changed, 217779 insertions(+), 103592 deletions(-) delete mode 100644 examples/ex5/brain.inp delete mode 100644 examples/ex5/coarse_brain_c288_RI.inp delete mode 100644 examples/ex5/coarse_brain_c380_RI.inp create mode 100644 examples/ex5/fine_brain.inp diff --git a/examples/ex5/CMakeLists.txt b/examples/ex5/CMakeLists.txt index 4967e95e..d6f93576 100644 --- a/examples/ex5/CMakeLists.txt +++ b/examples/ex5/CMakeLists.txt @@ -11,10 +11,8 @@ else() TARGET_LINK_LIBRARIES(ex5 FemTech) endif(ENABLE_MPI) -file(INSTALL brain.inp DESTINATION .) +file(INSTALL fine_brain.inp DESTINATION .) file(INSTALL coarse_brain.inp DESTINATION .) -file(INSTALL coarse_brain_c288_RI.inp DESTINATION .) -file(INSTALL coarse_brain_c380_RI.inp DESTINATION .) file(INSTALL materials.dat DESTINATION .) file(INSTALL input.json DESTINATION .) file(INSTALL input_test_p1.json DESTINATION .) diff --git a/examples/ex5/brain.inp b/examples/ex5/brain.inp deleted file mode 100644 index 5b0dd3c1..00000000 --- a/examples/ex5/brain.inp +++ /dev/null @@ -1,32262 +0,0 @@ -************************************* -*HEADING 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3464, 3465, 3568, 4683, 4681, 4682, 4785 -1910, 3568, 3465, 3467, 3470, 4785, 4682, 4684, 4687 -1911, 3476, 3474, 3475, 3569, 4693, 4691, 4692, 4786 -1912, 3569, 3475, 3477, 3570, 4786, 4692, 4694, 4787 -1913, 3570, 3477, 3478, 3481, 4787, 4694, 4695, 4698 -1914, 3487, 3485, 3486, 3571, 4704, 4702, 4703, 4788 -1915, 3571, 3486, 3488, 3572, 4788, 4703, 4705, 4789 -1916, 3574, 3573, 3488, 3489, 4791, 4790, 4705, 4706 -1917, 3572, 3488, 3573, 3575, 4789, 4705, 4790, 4792 -1918, 3576, 3574, 3489, 3466, 4793, 4791, 4706, 4683 -1919, 3577, 3576, 3466, 3568, 4794, 4793, 4683, 4785 -1920, 3578, 3577, 3568, 3470, 4795, 4794, 4785, 4687 -1921, 3579, 3578, 3470, 3490, 4796, 4795, 4687, 4707 -1922, 3580, 3579, 3490, 3491, 4797, 4796, 4707, 4708 -1923, 3581, 3580, 3491, 3492, 4798, 4797, 4708, 4709 -1924, 3582, 3581, 3492, 3476, 4799, 4798, 4709, 4693 -1925, 3583, 3582, 3476, 3569, 4800, 4799, 4693, 4786 -1926, 3584, 3583, 3569, 3570, 4801, 4800, 4786, 4787 -1927, 3585, 3584, 3570, 3481, 4802, 4801, 4787, 4698 -1928, 3498, 3496, 3497, 3586, 4715, 4713, 4714, 4803 -1929, 3588, 3587, 3497, 3499, 4805, 4804, 4714, 4716 -1930, 3586, 3497, 3587, 3589, 4803, 4714, 4804, 4806 -1931, 3590, 3588, 3499, 3487, 4807, 4805, 4716, 4704 -1932, 3591, 3590, 3487, 3571, 4808, 4807, 4704, 4788 -1933, 3575, 3591, 3571, 3572, 4792, 4808, 4788, 4789 -1934, 3503, 3502, 3498, 3592, 4720, 4719, 4715, 4809 -1935, 3589, 3593, 3498, 3586, 4806, 4810, 4715, 4803 -1936, 3592, 3498, 3593, 3594, 4809, 4715, 4810, 4811 -1937, 3508, 3503, 3592, 3595, 4725, 4720, 4809, 4812 -1938, 3595, 3592, 3594, 3596, 4812, 4809, 4811, 4813 -1939, 3596, 3597, 3508, 3595, 4813, 4814, 4725, 4812 -1940, 3512, 3508, 3597, 3598, 4729, 4725, 4814, 4815 -1941, 3600, 3599, 3513, 3514, 4817, 4816, 4730, 4731 -1942, 3601, 3514, 3515, 3516, 4818, 4731, 4732, 4733 -1943, 3602, 3600, 3514, 3601, 4819, 4817, 4731, 4818 -1944, 3598, 3603, 3518, 3512, 4815, 4820, 4735, 4729 -1945, 3519, 3518, 3603, 3604, 4736, 4735, 4820, 4821 -1946, 3144, 3140, 497, 554, 4361, 4357, 1799, 1856 -1947, 3605, 3601, 3516, 3520, 4822, 4818, 4733, 4737 -1948, 3606, 3602, 3601, 3605, 4823, 4819, 4818, 4822 -1949, 3522, 3521, 3519, 3607, 4739, 4738, 4736, 4824 -1950, 3607, 3519, 3604, 3608, 4824, 4736, 4821, 4825 -1951, 3609, 3606, 3605, 3520, 4826, 4823, 4822, 4737 -1952, 3610, 3609, 3520, 3523, 4827, 4826, 4737, 4740 -1953, 3525, 3522, 3607, 3611, 4742, 4739, 4824, 4828 -1954, 3611, 3607, 3608, 3612, 4828, 4824, 4825, 4829 -1955, 3613, 3610, 3523, 3527, 4830, 4827, 4740, 4744 -1956, 3528, 3525, 3611, 3614, 4745, 4742, 4828, 4831 -1957, 3614, 3611, 3612, 3615, 4831, 4828, 4829, 4832 -1958, 3616, 3613, 3527, 3530, 4833, 4830, 4744, 4747 -1959, 3531, 3528, 3614, 3534, 4748, 4745, 4831, 4751 -1960, 3534, 3614, 3617, 3535, 4751, 4831, 4834, 4752 -1961, 3617, 3614, 3615, 3618, 4834, 4831, 4832, 4835 -1962, 3535, 3617, 3619, 3537, 4752, 4834, 4836, 4754 -1963, 3619, 3617, 3618, 3620, 4836, 4834, 4835, 4837 -1964, 3537, 3619, 3620, 3621, 4754, 4836, 4837, 4838 -1965, 3221, 3212, 463, 572, 4438, 4429, 1765, 1874 -1966, 3622, 3616, 3530, 3533, 4839, 4833, 4747, 4750 -1967, 3538, 3537, 3623, 3541, 4755, 4754, 4840, 4758 -1968, 3623, 3537, 3621, 3624, 4840, 4754, 4838, 4841 -1969, 3541, 3623, 3624, 3625, 4758, 4840, 4841, 4842 -1970, 3224, 3221, 572, 577, 4441, 4438, 1874, 1879 -1971, 3626, 3622, 3533, 3540, 4843, 4839, 4750, 4757 -1972, 3542, 3541, 3625, 3627, 4759, 4758, 4842, 4844 -1973, 3544, 3542, 3627, 3628, 4761, 4759, 4844, 4845 -1974, 3545, 3544, 3628, 3629, 4762, 4761, 4845, 4846 -1975, 3218, 3227, 582, 468, 4435, 4444, 1884, 1770 -1976, 583, 582, 3227, 3230, 1885, 1884, 4444, 4447 -1977, 3630, 3626, 3540, 3546, 4847, 4843, 4757, 4763 -1978, 3631, 3630, 3546, 3547, 4848, 4847, 4763, 4764 -1979, 3146, 3144, 554, 586, 4363, 4361, 1856, 1888 -1980, 3550, 3632, 3547, 3548, 4767, 4849, 4764, 4765 -1981, 3547, 3632, 3633, 3631, 4764, 4849, 4850, 4848 -1982, 3634, 3633, 3632, 3550, 4851, 4850, 4849, 4767 -1983, 3635, 3634, 3550, 3551, 4852, 4851, 4767, 4768 -1984, 3555, 3554, 3636, 3637, 4772, 4771, 4853, 4854 -1985, 3638, 3636, 3554, 3556, 4855, 4853, 4771, 4773 -1986, 3551, 3555, 3637, 3635, 4768, 4772, 4854, 4852 -1987, 3639, 3638, 3556, 3558, 4856, 4855, 4773, 4775 -1988, 3640, 3639, 3558, 3559, 4857, 4856, 4775, 4776 -1989, 3641, 3640, 3559, 3560, 4858, 4857, 4776, 4777 -1990, 3562, 3561, 3642, 3643, 4779, 4778, 4859, 4860 -1991, 3563, 3562, 3643, 3644, 4780, 4779, 4860, 4861 -1992, 3564, 3563, 3644, 3645, 4781, 4780, 4861, 4862 -1993, 3565, 3564, 3645, 3646, 4782, 4781, 4862, 4863 -1994, 3566, 3565, 3646, 3647, 4783, 4782, 4863, 4864 -1995, 3567, 3566, 3647, 3648, 4784, 4783, 4864, 4865 -1996, 3560, 3567, 3648, 3641, 4777, 4784, 4865, 4858 -1997, 3575, 3573, 3574, 3649, 4792, 4790, 4791, 4866 -1998, 3649, 3574, 3576, 3650, 4866, 4791, 4793, 4867 -1999, 3650, 3576, 3577, 3651, 4867, 4793, 4794, 4868 -2000, 3651, 3577, 3578, 3652, 4868, 4794, 4795, 4869 -2001, 3652, 3578, 3579, 3653, 4869, 4795, 4796, 4870 -2002, 3655, 3654, 3579, 3580, 4872, 4871, 4796, 4797 -2003, 3653, 3579, 3654, 3656, 4870, 4796, 4871, 4873 -2004, 3657, 3655, 3580, 3581, 4874, 4872, 4797, 4798 -2005, 3658, 3657, 3581, 3582, 4875, 4874, 4798, 4799 -2006, 3659, 3658, 3582, 3583, 4876, 4875, 4799, 4800 -2007, 3660, 3659, 3583, 3584, 4877, 4876, 4800, 4801 -2008, 3661, 3660, 3584, 3585, 4878, 4877, 4801, 4802 -2009, 3662, 3661, 3585, 3663, 4879, 4878, 4802, 4880 -2010, 3665, 3663, 3664, 3666, 4882, 4880, 4881, 4883 -2011, 3667, 3662, 3663, 3665, 4884, 4879, 4880, 4882 -2012, 3666, 3664, 3668, 3669, 4883, 4881, 4885, 4886 -2013, 3589, 3587, 3588, 3670, 4806, 4804, 4805, 4887 -2014, 3670, 3588, 3590, 3671, 4887, 4805, 4807, 4888 -2015, 3673, 3672, 3590, 3591, 4890, 4889, 4807, 4808 -2016, 3671, 3590, 3672, 3674, 4888, 4807, 4889, 4891 -2017, 3675, 3673, 3591, 3575, 4892, 4890, 4808, 4792 -2018, 3676, 3675, 3575, 3649, 4893, 4892, 4792, 4866 -2019, 3677, 3676, 3649, 3650, 4894, 4893, 4866, 4867 -2020, 3678, 3677, 3650, 3651, 4895, 4894, 4867, 4868 -2021, 3679, 3678, 3651, 3652, 4896, 4895, 4868, 4869 -2022, 3656, 3679, 3652, 3653, 4873, 4896, 4869, 4870 -2023, 3680, 3667, 3665, 3666, 4897, 4884, 4882, 4883 -2024, 3681, 3680, 3666, 3669, 4898, 4897, 4883, 4886 -2025, 3682, 3681, 3669, 3683, 4899, 4898, 4886, 4900 -2026, 3685, 3683, 3684, 3686, 4902, 4900, 4901, 4903 -2027, 3687, 3682, 3683, 3685, 4904, 4899, 4900, 4902 -2028, 3594, 3593, 3589, 3688, 4811, 4810, 4806, 4905 -2029, 3690, 3689, 3589, 3670, 4907, 4906, 4806, 4887 -2030, 3688, 3589, 3689, 3691, 4905, 4806, 4906, 4908 -2031, 3674, 3690, 3670, 3671, 4891, 4907, 4887, 4888 -2032, 3692, 3687, 3685, 3686, 4909, 4904, 4902, 4903 -2033, 3694, 3686, 3693, 3695, 4911, 4903, 4910, 4912 -2034, 3696, 3692, 3686, 3694, 4913, 4909, 4903, 4911 -2035, 3691, 3697, 3594, 3688, 4908, 4914, 4811, 4905 -2036, 3596, 3594, 3697, 3698, 4813, 4811, 4914, 4915 -2037, 3699, 3696, 3694, 3695, 4916, 4913, 4911, 4912 -2038, 3701, 3695, 3700, 3599, 4918, 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4951, 4839, 4843 -2076, 3622, 3734, 3736, 3728, 4839, 4951, 4953, 4945 -2077, 3737, 3736, 3734, 3735, 4954, 4953, 4951, 4952 -2078, 3629, 3628, 3738, 3739, 4846, 4845, 4955, 4956 -2079, 3738, 3628, 3733, 3740, 4955, 4845, 4950, 4957 -2080, 3739, 3738, 3740, 3741, 4956, 4955, 4957, 4958 -2081, 3742, 3735, 3626, 3630, 4959, 4952, 4843, 4847 -2082, 3743, 3737, 3735, 3742, 4960, 4954, 4952, 4959 -2083, 3157, 3152, 667, 702, 4374, 4369, 1969, 2004 -2084, 3633, 3742, 3630, 3631, 4850, 4959, 4847, 4848 -2085, 3744, 3743, 3742, 3633, 4961, 4960, 4959, 4850 -2086, 3745, 3744, 3633, 3634, 4962, 4961, 4850, 4851 -2087, 3637, 3746, 3634, 3635, 4854, 4963, 4851, 4852 -2088, 3634, 3746, 3747, 3745, 4851, 4963, 4964, 4962 -2089, 3748, 3747, 3746, 3637, 4965, 4964, 4963, 4854 -2090, 3750, 3749, 3636, 3638, 4967, 4966, 4853, 4855 -2091, 3636, 3749, 3751, 3752, 4853, 4966, 4968, 4969 -2092, 3753, 3751, 3749, 3750, 4970, 4968, 4966, 4967 -2093, 3637, 3636, 3752, 3748, 4854, 4853, 4969, 4965 -2094, 3754, 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3370, 3426, 3425, 3419, 3422 -1848, 3379, 3378, 3370, 3371, 3436, 3426, 3422, 3435 -1849, 3379, 3371, 3372, 3380, 3436, 3435, 3440, 3441 -1850, 3333, 3325, 3380, 3381, 3347, 3346, 3388, 3389 -1851, 3373, 3381, 3380, 3372, 3445, 3446, 3441, 3440 -1852, 3374, 3382, 3381, 3373, 3450, 3451, 3446, 3445 -1853, 3329, 3328, 3383, 3384, 3334, 3621, 3622, 3392 -1854, 3376, 3375, 3384, 3383, 3424, 3423, 3427, 3428 -1855, 3385, 3384, 3375, 3377, 3429, 3427, 3423, 3425 -1856, 3377, 3378, 3386, 3385, 3425, 3426, 3432, 3429 -1857, 3378, 3379, 3387, 3386, 3426, 3436, 3437, 3432 -1858, 3379, 3380, 3388, 3387, 3436, 3441, 3442, 3437 -1859, 3380, 3381, 3389, 3388, 3441, 3446, 3447, 3442 -1860, 3389, 3381, 3382, 3390, 3447, 3446, 3451, 3452 -1861, 3384, 3385, 3393, 3392, 3427, 3429, 3431, 3430 -1862, 3385, 3386, 3394, 3393, 3429, 3432, 3433, 3431 -1863, 3395, 3394, 3386, 3387, 3438, 3433, 3432, 3437 -1864, 3388, 3346, 3348, 3396, 3389, 3347, 3349, 3397 -1865, 3396, 3395, 3387, 3388, 3443, 3438, 3437, 3442 -1866, 3390, 3356, 3347, 3389, 3398, 3357, 3349, 3397 -1867, 3397, 3396, 3388, 3389, 3448, 3443, 3442, 3447 -1868, 3397, 3389, 3390, 3398, 3448, 3447, 3452, 3453 -1869, 3401, 3399, 3073, 3362, 3493, 3062, 3053, 3054 -1870, 3410, 3338, 3334, 3392, 3636, 3635, 3621, 3622 -1871, 3361, 3411, 3401, 3362, 3055, 3494, 3493, 3054 -1872, 3411, 3361, 3360, 3415, 3494, 3055, 3492, 3495 -1873, 3360, 3354, 3414, 3415, 3497, 3355, 3418, 3498 -1874, 3420, 3120, 3118, 3419, 3460, 3459, 3421, 3422 -1875, 3144, 3141, 3420, 3419, 3423, 3455, 3456, 3425 -1876, 3425, 3419, 3422, 3426, 3456, 3420, 3460, 3461 -1877, 3427, 3384, 3383, 3428, 3430, 3392, 3622, 3623 -1878, 3424, 3423, 3427, 3428, 3454, 3455, 3458, 3457 -1879, 3427, 3423, 3425, 3429, 3458, 3455, 3456, 3462 -1880, 3427, 3429, 3431, 3430, 3458, 3462, 3464, 3463 -1881, 3425, 3426, 3432, 3429, 3456, 3461, 3465, 3462 -1882, 3429, 3432, 3433, 3431, 3462, 3465, 3466, 3464 -1883, 2943, 2950, 3434, 3421, 2998, 3005, 3467, 3459 -1884, 3434, 3435, 3422, 3421, 3467, 3468, 3460, 3459 -1885, 3435, 3436, 3426, 3422, 3468, 3469, 3461, 3460 -1886, 3426, 3436, 3437, 3432, 3461, 3469, 3470, 3465 -1887, 3437, 3438, 3433, 3432, 3470, 3471, 3466, 3465 -1888, 3434, 2950, 2957, 3439, 3467, 3005, 3012, 3472 -1889, 3439, 3440, 3435, 3434, 3472, 3473, 3468, 3467 -1890, 3435, 3440, 3441, 3436, 3468, 3473, 3474, 3469 -1891, 3437, 3436, 3441, 3442, 3470, 3469, 3474, 3475 -1892, 3443, 3438, 3437, 3442, 3476, 3471, 3470, 3475 -1893, 2964, 3444, 3439, 2957, 3025, 3477, 3472, 3012 -1894, 3445, 3440, 3439, 3444, 3479, 3473, 3472, 3477 -1895, 3440, 3445, 3446, 3441, 3473, 3479, 3481, 3474 -1896, 3441, 3446, 3447, 3442, 3474, 3481, 3483, 3475 -1897, 3447, 3448, 3443, 3442, 3483, 3484, 3476, 3475 -1898, 3444, 2964, 2973, 3449, 3477, 3025, 3026, 3478 -1899, 3445, 3444, 3449, 3450, 3479, 3477, 3478, 3480 -1900, 3451, 3446, 3445, 3450, 3482, 3481, 3479, 3480 -1901, 3447, 3446, 3451, 3452, 3483, 3481, 3482, 3485 -1902, 3453, 3448, 3447, 3452, 3486, 3484, 3483, 3485 -1903, 3428, 3457, 3458, 3427, 3623, 3624, 3463, 3430 -1904, 3174, 3175, 3215, 3176, 3187, 3519, 3533, 3530 -1905, 3204, 3203, 3237, 3491, 3555, 3233, 3229, 3232 -1906, 3227, 3242, 3240, 3220, 3232, 3491, 3237, 3229 -1907, 3176, 3490, 3257, 3246, 3530, 3532, 3528, 3527 -1908, 3249, 3257, 3490, 3248, 3529, 3528, 3532, 3531 -1909, 3495, 3492, 3360, 3415, 3500, 3499, 3497, 3498 -1910, 3360, 3492, 3045, 3311, 3497, 3499, 3082, 3496 -1911, 3501, 2650, 2651, 3502, 3518, 3503, 3512, 3526 -1912, 3502, 2655, 2654, 3501, 3526, 3517, 3510, 3518 -1913, 2654, 2629, 2650, 3501, 3510, 3511, 3503, 3518 -1914, 3506, 3504, 3101, 3100, 3538, 3537, 3615, 3616 -1915, 3508, 2652, 2654, 3510, 3213, 2852, 3626, 3625 -1916, 2629, 3511, 3510, 2654, 3627, 3613, 3625, 3626 -1917, 3511, 2629, 2631, 3212, 3613, 3627, 3628, 3614 -1918, 3221, 3230, 3229, 3220, 3617, 3539, 3238, 3618 -1919, 3514, 3095, 3096, 3535, 3598, 3098, 3097, 3597 -1920, 3101, 3096, 3097, 3212, 3504, 3535, 3597, 3601 -1921, 3212, 3097, 3503, 3511, 3601, 3597, 3599, 3591 -1922, 3097, 3098, 3512, 3503, 3597, 3598, 3600, 3599 -1923, 3503, 3512, 3526, 3518, 3511, 3586, 3517, 3510 -1924, 3510, 3517, 3509, 3508, 3511, 3586, 3585, 3584 -1925, 3509, 3507, 3108, 3508, 3579, 3107, 3106, 3213 -1926, 3103, 3106, 3107, 3104, 3105, 3580, 3581, 3216 -1927, 3225, 3516, 3515, 3223, 3531, 3566, 3565, 3529 -1928, 3103, 3105, 3515, 3214, 3106, 3580, 3583, 3213 -1929, 3515, 3105, 3088, 3223, 3565, 3523, 3211, 3529 -1930, 3109, 3105, 3216, 3110, 3111, 3523, 3569, 2863 -1931, 3111, 2863, 2839, 2838, 3523, 3569, 2858, 3521 -1932, 3525, 3522, 3233, 3524, 3545, 3548, 3234, 3544 -1933, 3233, 3203, 3202, 3524, 3555, 3204, 3489, 3558 -1934, 3487, 3489, 3204, 3488, 3559, 3558, 3555, 3560 -1935, 3176, 3488, 3204, 3490, 3530, 3560, 3555, 3532 -1936, 3488, 3176, 3215, 3487, 3560, 3530, 3533, 3559 -1937, 3530, 3187, 3519, 3533, 3562, 3553, 3554, 3561 -1938, 3531, 3232, 3227, 3225, 3566, 3231, 3536, 3516 -1939, 3491, 3232, 3531, 3248, 3204, 3555, 3532, 3490 -1940, 3529, 3528, 3532, 3531, 3565, 3557, 3564, 3566 -1941, 3209, 3210, 3521, 2848, 3527, 3528, 3557, 3556 -1942, 3207, 3527, 3209, 3208, 3520, 3556, 2848, 2847 -1943, 3184, 3186, 3187, 3207, 3189, 3551, 3553, 3520 -1944, 3186, 3185, 3519, 3187, 3551, 3550, 3554, 3553 -1945, 3207, 3187, 3530, 3527, 3520, 3553, 3562, 3556 -1946, 2849, 2848, 3521, 2858, 3572, 3556, 3557, 3573 -1947, 2849, 2846, 2847, 2848, 3572, 3534, 3520, 3556 -1948, 3189, 3520, 3534, 3188, 3551, 3553, 3554, 3550 -1949, 3505, 3504, 3506, 3513, 3540, 3537, 3538, 3541 -1950, 3540, 3537, 3538, 3541, 3546, 3542, 3543, 3547 -1951, 3543, 3542, 3537, 3538, 3548, 3234, 3230, 3539 -1952, 3544, 3546, 3547, 3545, 3234, 3542, 3543, 3548 -1953, 3540, 3537, 3542, 3546, 3505, 3504, 3610, 3609 -1954, 3234, 3544, 3546, 3542, 3549, 3567, 3596, 3595 -1955, 3230, 3231, 3549, 3234, 3537, 3612, 3595, 3542 -1956, 3524, 3544, 3234, 3233, 3558, 3567, 3549, 3555 -1957, 3515, 3516, 3217, 3214, 3583, 3613, 3625, 3213 -1958, 3556, 3527, 3528, 3557, 3562, 3530, 3532, 3564 -1959, 3521, 3557, 3528, 3210, 3523, 3565, 3529, 3211 -1960, 3221, 3536, 3231, 3230, 3615, 3614, 3612, 3537 -1961, 3561, 3533, 3530, 3562, 3568, 3559, 3560, 3563 -1962, 3560, 3530, 3562, 3563, 3555, 3532, 3564, 3549 -1963, 3231, 3536, 3516, 3566, 3612, 3614, 3613, 3611 -1964, 3559, 3560, 3563, 3568, 3558, 3555, 3549, 3567 -1965, 3566, 3564, 3532, 3531, 3231, 3549, 3555, 3232 -1966, 3523, 3571, 3570, 3569, 3521, 3574, 3575, 2858 -1967, 3570, 3571, 3523, 3569, 3581, 3580, 3105, 3216 -1968, 3534, 3554, 3553, 3520, 3572, 3561, 3562, 3556 -1969, 3521, 2858, 3573, 3557, 3574, 3575, 3576, 3578 -1970, 3521, 3523, 3571, 3574, 3557, 3565, 3588, 3578 -1971, 3573, 3572, 3556, 3557, 3577, 3561, 3562, 3564 -1972, 3575, 3574, 3571, 3570, 3576, 3578, 3588, 3587 -1973, 3561, 3562, 3564, 3577, 3568, 3563, 3549, 3567 -1974, 3564, 3557, 3573, 3577, 3589, 3578, 3576, 3594 -1975, 3579, 3107, 3106, 3213, 3582, 3581, 3580, 3583 -1976, 3508, 3509, 3579, 3213, 3584, 3585, 3582, 3583 -1977, 3213, 3508, 3584, 3583, 3625, 3510, 3511, 3613 -1978, 3105, 3580, 3571, 3523, 3515, 3583, 3588, 3565 -1979, 3582, 3581, 3580, 3583, 3587, 3570, 3571, 3588 -1980, 3578, 3557, 3565, 3588, 3589, 3564, 3566, 3611 -1981, 3516, 3515, 3565, 3566, 3613, 3583, 3588, 3611 -1982, 3585, 3582, 3583, 3584, 3593, 3587, 3588, 3592 -1983, 3585, 3584, 3511, 3586, 3593, 3592, 3591, 3590 -1984, 3592, 3591, 3590, 3593, 3606, 3603, 3604, 3605 -1985, 3591, 3592, 3584, 3511, 3611, 3588, 3583, 3613 -1986, 3577, 3564, 3589, 3594, 3567, 3549, 3595, 3596 -1987, 3595, 3549, 3564, 3589, 3612, 3231, 3566, 3611 -1988, 3592, 3593, 3587, 3588, 3606, 3605, 3576, 3578 -1989, 3594, 3589, 3578, 3576, 3604, 3603, 3606, 3605 -1990, 3597, 3535, 3514, 3598, 3601, 3504, 3505, 3602 -1991, 3512, 3503, 3599, 3600, 3586, 3511, 3591, 3590 -1992, 3597, 3598, 3600, 3599, 3601, 3602, 3590, 3591 -1993, 3511, 3212, 3601, 3591, 3613, 3614, 3612, 3611 -1994, 3591, 3603, 3606, 3592, 3611, 3589, 3578, 3588 -1995, 3591, 3601, 3602, 3590, 3603, 3608, 3607, 3604 -1996, 3594, 3596, 3595, 3589, 3604, 3607, 3608, 3603 -1997, 3595, 3589, 3603, 3608, 3612, 3611, 3591, 3601 -1998, 3504, 3610, 3609, 3505, 3601, 3608, 3607, 3602 -1999, 3610, 3608, 3601, 3504, 3542, 3595, 3612, 3537 -2000, 3609, 3546, 3596, 3607, 3610, 3542, 3595, 3608 -2001, 3217, 3516, 2865, 2866, 3625, 3613, 3627, 3626 -2002, 3552, 2865, 3516, 3536, 3628, 3627, 3613, 3614 -2003, 3218, 3552, 3536, 3221, 3629, 3628, 3614, 3615 -2004, 3601, 3212, 3101, 3504, 3612, 3614, 3615, 3537 -2005, 3538, 3539, 3230, 3537, 3616, 3617, 3221, 3615 -2006, 3617, 3221, 3615, 3616, 3631, 3218, 3629, 3630 -2007, 2865, 3627, 3628, 3552, 3641, 3637, 3638, 3642 -2008, 3218, 3552, 3628, 3629, 3643, 3642, 3638, 3639 -2009, 3631, 3218, 3629, 3630, 3644, 3643, 3639, 3640 -2010, 3646, 3645, 1, 2, 4863, 4862, 1303, 1304 -2011, 6, 1, 3645, 3647, 1308, 1303, 4862, 4864 -2012, 9, 10, 3648, 3649, 1311, 1312, 4865, 4866 -2013, 3649, 3648, 3650, 3651, 4866, 4865, 4867, 4868 -2014, 3648, 3653, 3652, 3650, 4865, 4870, 4869, 4867 -2015, 10, 15, 3653, 3648, 1312, 1317, 4870, 4865 -2016, 17, 9, 3649, 3654, 1319, 1311, 4866, 4871 -2017, 3654, 3649, 3651, 3655, 4871, 4866, 4868, 4872 -2018, 3654, 3656, 19, 17, 4871, 4873, 1321, 1319 -2019, 3655, 3657, 3656, 3654, 4872, 4874, 4873, 4871 -2020, 3660, 3659, 3658, 3661, 4877, 4876, 4875, 4878 -2021, 3658, 3659, 3646, 3662, 4875, 4876, 4863, 4879 -2022, 3663, 3646, 3659, 3660, 4880, 4863, 4876, 4877 -2023, 3665, 3664, 28, 29, 4882, 4881, 1330, 1331 -2024, 3664, 3666, 32, 28, 4881, 4883, 1334, 1330 -2025, 3668, 3667, 3658, 3669, 4885, 4884, 4875, 4886 -2026, 3669, 3658, 3662, 3670, 4886, 4875, 4879, 4887 -2027, 3661, 3658, 3667, 3671, 4878, 4875, 4884, 4888 -2028, 3672, 3668, 3669, 3673, 4889, 4885, 4886, 4890 -2029, 3673, 3669, 3670, 3666, 4890, 4886, 4887, 4883 -2030, 3674, 3673, 3666, 3664, 4891, 4890, 4883, 4881 -2031, 3675, 3672, 3673, 3674, 4892, 4889, 4890, 4891 -2032, 3676, 3674, 3664, 3665, 4893, 4891, 4881, 4882 -2033, 3677, 3675, 3674, 3676, 4894, 4892, 4891, 4893 -2034, 3678, 3676, 3665, 3679, 4895, 4893, 4882, 4896 -2035, 3680, 3677, 3676, 3678, 4897, 4894, 4893, 4895 -2036, 3681, 3678, 3679, 3682, 4898, 4895, 4896, 4899 -2037, 3683, 3680, 3678, 3681, 4900, 4897, 4895, 4898 -2038, 3684, 3683, 3681, 3685, 4901, 4900, 4898, 4902 -2039, 3685, 3681, 3682, 3686, 4902, 4898, 4899, 4903 -2040, 3687, 3684, 3685, 3688, 4904, 4901, 4902, 4905 -2041, 3688, 3685, 3686, 3689, 4905, 4902, 4903, 4906 -2042, 3690, 3687, 3688, 3691, 4907, 4904, 4905, 4908 -2043, 3691, 3688, 3689, 3692, 4908, 4905, 4906, 4909 -2044, 3693, 3690, 3691, 3694, 4910, 4907, 4908, 4911 -2045, 3694, 3691, 3692, 3695, 4911, 4908, 4909, 4912 -2046, 3696, 3693, 3694, 3697, 4913, 4910, 4911, 4914 -2047, 3697, 3694, 3695, 3698, 4914, 4911, 4912, 4915 -2048, 3700, 3697, 3699, 3701, 4917, 4914, 4916, 4918 -2049, 3699, 3697, 3698, 3702, 4916, 4914, 4915, 4919 -2050, 3703, 3696, 3697, 3700, 4920, 4913, 4914, 4917 -2051, 3701, 3699, 3702, 3704, 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12404, 12403, 12318, 12320, 12410, 12409 -9125 , 12406, 12403, 12313, 12411, 12413, 12408, 12402, 12493 -9126 , 12313, 12403, 12406, 12411, 12414, 12409, 12412, 12492 -9127 , 12312, 12403, 12408, 12317, 12308, 12313, 12402, 12314 -9128 , 12318, 12409, 12403, 12312, 12315, 12414, 12313, 12308 -9129 , 12416, 12415, 12404, 12405, 12427, 12417, 12407, 12420 -9130 , 12404, 12415, 12416, 12405, 12410, 12418, 12426, 12419 -9131 , 12417, 12415, 12404, 12407, 12321, 12259, 12316, 12319 -9132 , 12316, 12259, 12415, 12404, 12320, 12322, 12418, 12410 -9133 , 12293, 12381, 12376, 12325, 12326, 12422, 12456, 12421 -9134 , 12423, 12337, 12415, 12416, 12430, 12424, 12417, 12427 -9135 , 12415, 12337, 12423, 12416, 12418, 12425, 12429, 12426 -9136 , 12424, 12337, 12415, 12417, 12323, 12265, 12259, 12321 -9137 , 12259, 12265, 12337, 12415, 12322, 12340, 12425, 12418 -9138 , 12428, 12332, 12337, 12423, 12433, 12338, 12424, 12430 -9139 , 12337, 12332, 12428, 12423, 12425, 12339, 12432, 12429 -9140 , 12431, 12331, 12332, 12428, 12436, 12345, 12338, 12433 -9141 , 12332, 12331, 12431, 12428, 12339, 12346, 12435, 12432 -9142 , 12434, 12342, 12331, 12431, 12439, 12351, 12345, 12436 -9143 , 12331, 12342, 12434, 12431, 12346, 12352, 12438, 12435 -9144 , 12437, 12348, 12342, 12434, 12442, 12357, 12351, 12439 -9145 , 12342, 12348, 12437, 12434, 12352, 12358, 12441, 12438 -9146 , 12440, 12354, 12348, 12437, 12445, 12363, 12357, 12442 -9147 , 12348, 12354, 12440, 12437, 12358, 12364, 12444, 12441 -9148 , 12443, 12360, 12354, 12440, 12448, 12367, 12363, 12445 -9149 , 12354, 12360, 12443, 12440, 12364, 12368, 12447, 12444 -9150 , 12446, 12255, 12360, 12443, 12449, 12370, 12367, 12448 -9151 , 12360, 12255, 12446, 12443, 12368, 12249, 12263, 12447 -9152 , 12256, 12251, 12255, 12446, 12450, 12372, 12370, 12449 -9153 , 12328, 12250, 12251, 12256, 12455, 12375, 12372, 12450 -9154 , 12380, 12451, 12452, 12381, 12453, 12524, 12464, 12422 -9155 , 12452, 12451, 12380, 12381, 12386, 12525, 12454, 12379 -9156 , 12421, 12325, 12250, 12328, 12458, 12377, 12375, 12455 -9157 , 12456, 12376, 12325, 12421, 12462, 12457, 12377, 12458 -9158 , 12381, 12452, 12459, 12376, 12422, 12464, 12460, 12456 -9159 , 12459, 12452, 12381, 12376, 12306, 12386, 12379, 12303 -9160 , 12460, 12459, 12376, 12456, 12465, 12461, 12457, 12462 -9161 , 12461, 12459, 12376, 12457, 12385, 12306, 12303, 12378 -9162 , 12459, 12388, 12463, 12460, 12452, 12466, 12548, 12464 -9163 , 12463, 12388, 12459, 12460, 12549, 12467, 12461, 12465 -9164 , 12388, 12466, 12452, 12459, 12384, 12390, 12386, 12306 -9165 , 12388, 12384, 12306, 12459, 12467, 12389, 12385, 12461 -9166 , 7105, 7104, 7119, 7107, 12388, 12391, 12470, 12467 -9167 , 7108, 7120, 7121, 7104, 12469, 12472, 12468, 12391 -9168 , 7104, 7121, 7122, 7119, 12391, 12468, 12473, 12470 -9169 , 7120, 7123, 7124, 7121, 12472, 12561, 12471, 12468 -9170 , 7121, 7124, 7125, 7122, 12468, 12471, 12562, 12473 -9171 , 7126, 7116, 7115, 7127, 12476, 12478, 12395, 12474 -9172 , 7127, 7115, 7117, 7128, 12474, 12395, 12479, 12477 -9173 , 7127, 7129, 7130, 7126, 12474, 12475, 12572, 12476 -9174 , 7128, 7131, 7129, 7127, 12477, 12571, 12475, 12474 -9175 , 12480, 12481, 12482, 12483, 12484, 12485, 12494, 12489 -9176 , 12482, 12481, 12480, 12483, 12495, 12486, 12487, 12490 -9177 , 12481, 12485, 12484, 12480, 12310, 12401, 12399, 12393 -9178 , 12486, 12481, 12480, 12487, 12400, 12310, 12393, 12398 -9179 , 12395, 12480, 12483, 12488, 12478, 12484, 12489, 12576 -9180 , 12483, 12480, 12395, 12488, 12490, 12487, 12479, 12575 -9181 , 12399, 12484, 12480, 12393, 12397, 12478, 12395, 12394 -9182 , 12480, 12393, 12394, 12395, 12487, 12398, 12396, 12479 -9183 , 12481, 12411, 12491, 12482, 12485, 12492, 12497, 12494 -9184 , 12491, 12411, 12481, 12482, 12498, 12493, 12486, 12495 -9185 , 12411, 12492, 12485, 12481, 12313, 12414, 12401, 12310 -9186 , 12493, 12411, 12481, 12486, 12402, 12313, 12310, 12400 -9187 , 12411, 12406, 12496, 12491, 12492, 12412, 12500, 12497 -9188 , 12496, 12406, 12411, 12491, 12501, 12413, 12493, 12498 -9189 , 12406, 12405, 12499, 12496, 12412, 12419, 12503, 12500 -9190 , 12499, 12405, 12406, 12496, 12504, 12420, 12413, 12501 -9191 , 12405, 12416, 12502, 12499, 12419, 12426, 12506, 12503 -9192 , 12502, 12416, 12405, 12499, 12507, 12427, 12420, 12504 -9193 , 12416, 12423, 12505, 12502, 12426, 12429, 12509, 12506 -9194 , 12505, 12423, 12416, 12502, 12510, 12430, 12427, 12507 -9195 , 12423, 12428, 12508, 12505, 12429, 12432, 12512, 12509 -9196 , 12508, 12428, 12423, 12505, 12513, 12433, 12430, 12510 -9197 , 12428, 12431, 12511, 12508, 12432, 12435, 12515, 12512 -9198 , 12511, 12431, 12428, 12508, 12516, 12436, 12433, 12513 -9199 , 12431, 12434, 12514, 12511, 12435, 12438, 12518, 12515 -9200 , 12514, 12434, 12431, 12511, 12519, 12439, 12436, 12516 -9201 , 12434, 12437, 12517, 12514, 12438, 12441, 12521, 12518 -9202 , 12517, 12437, 12434, 12514, 12522, 12442, 12439, 12519 -9203 , 12437, 12440, 12520, 12517, 12441, 12444, 12527, 12521 -9204 , 12520, 12440, 12437, 12517, 12528, 12445, 12442, 12522 -9205 , 12451, 12523, 12466, 12452, 12524, 12596, 12548, 12464 -9206 , 12466, 12523, 12451, 12452, 12390, 12599, 12525, 12386 -9207 , 12440, 12443, 12526, 12520, 12444, 12447, 12530, 12527 -9208 , 12526, 12443, 12440, 12520, 12531, 12448, 12445, 12528 -9209 , 12443, 12446, 12529, 12526, 12447, 12263, 12533, 12530 -9210 , 12529, 12446, 12443, 12526, 12534, 12449, 12448, 12531 -9211 , 12446, 12256, 12532, 12529, 12263, 12245, 12536, 12533 -9212 , 12532, 12256, 12446, 12529, 12537, 12450, 12449, 12534 -9213 , 12256, 12328, 12535, 12532, 12245, 12252, 12539, 12536 -9214 , 12535, 12328, 12256, 12532, 12540, 12455, 12450, 12537 -9215 , 12328, 12421, 12538, 12535, 12252, 12326, 12542, 12539 -9216 , 12538, 12421, 12328, 12535, 12543, 12458, 12455, 12540 -9217 , 12421, 12456, 12541, 12538, 12326, 12422, 12545, 12542 -9218 , 12541, 12456, 12421, 12538, 12546, 12462, 12458, 12543 -9219 , 12456, 12460, 12544, 12541, 12422, 12464, 12550, 12545 -9220 , 12544, 12460, 12456, 12541, 12551, 12465, 12462, 12546 -9221 , 12460, 12463, 12547, 12544, 12464, 12548, 12556, 12550 -9222 , 12547, 12463, 12460, 12544, 12557, 12549, 12465, 12551 -9223 , 12463, 12552, 12553, 12547, 12548, 12554, 12559, 12556 -9224 , 12553, 12552, 12463, 12547, 12560, 12555, 12549, 12557 -9225 , 12552, 12554, 12548, 12463, 12391, 12469, 12466, 12388 -9226 , 12555, 12552, 12463, 12549, 12470, 12391, 12388, 12467 -9227 , 12552, 12471, 12558, 12553, 12554, 12561, 12645, 12559 -9228 , 12558, 12471, 12552, 12553, 12644, 12562, 12555, 12560 -9229 , 12552, 12554, 12469, 12391, 12471, 12561, 12472, 12468 -9230 , 12471, 12468, 12391, 12552, 12562, 12473, 12470, 12555 -9231 , 7124, 7132, 7133, 7125, 12471, 12563, 12565, 12562 -9232 , 7123, 7134, 7132, 7124, 12561, 12566, 12563, 12471 -9233 , 7132, 7135, 7136, 7133, 12563, 12564, 12652, 12565 -9234 , 7134, 7137, 7135, 7132, 12566, 12651, 12564, 12563 -9235 , 7138, 7129, 7131, 7139, 12567, 12475, 12571, 12569 -9236 , 7140, 7130, 7129, 7138, 12570, 12572, 12475, 12567 -9237 , 7139, 7141, 7142, 7138, 12569, 12661, 12568, 12567 -9238 , 7138, 7142, 7143, 7140, 12567, 12568, 12662, 12570 -9239 , 12573, 12483, 12488, 12574, 12581, 12490, 12575, 12578 -9240 , 12488, 12483, 12573, 12574, 12576, 12489, 12582, 12579 -9241 , 12574, 12488, 12475, 12577, 12578, 12575, 12571, 12665 -9242 , 12475, 12488, 12574, 12577, 12572, 12576, 12579, 12666 -9243 , 12395, 12488, 12575, 12479, 12474, 12475, 12571, 12477 -9244 , 12478, 12576, 12488, 12395, 12476, 12572, 12475, 12474 -9245 , 12580, 12482, 12483, 12573, 12584, 12495, 12490, 12581 -9246 , 12483, 12482, 12580, 12573, 12489, 12494, 12585, 12582 -9247 , 12583, 12491, 12482, 12580, 12587, 12498, 12495, 12584 -9248 , 12482, 12491, 12583, 12580, 12494, 12497, 12588, 12585 -9249 , 12586, 12496, 12491, 12583, 12590, 12501, 12498, 12587 -9250 , 12491, 12496, 12586, 12583, 12497, 12500, 12591, 12588 -9251 , 12589, 12499, 12496, 12586, 12593, 12504, 12501, 12590 -9252 , 12496, 12499, 12589, 12586, 12500, 12503, 12594, 12591 -9253 , 12592, 12502, 12499, 12589, 12597, 12507, 12504, 12593 -9254 , 12499, 12502, 12592, 12589, 12503, 12506, 12598, 12594 -9255 , 12595, 12505, 12502, 12592, 12602, 12510, 12507, 12597 -9256 , 12502, 12505, 12595, 12592, 12506, 12509, 12603, 12598 -9257 , 12548, 12596, 12523, 12466, 12554, 13394, 12600, 12469 -9258 , 12466, 12523, 12599, 12390, 12469, 12600, 15493, 12392 -9259 , 12601, 12508, 12505, 12595, 12605, 12513, 12510, 12602 -9260 , 12505, 12508, 12601, 12595, 12509, 12512, 12606, 12603 -9261 , 12604, 12511, 12508, 12601, 12608, 12516, 12513, 12605 -9262 , 12508, 12511, 12604, 12601, 12512, 12515, 12609, 12606 -9263 , 12607, 12514, 12511, 12604, 12611, 12519, 12516, 12608 -9264 , 12511, 12514, 12607, 12604, 12515, 12518, 12612, 12609 -9265 , 12610, 12517, 12514, 12607, 12614, 12522, 12519, 12611 -9266 , 12514, 12517, 12610, 12607, 12518, 12521, 12615, 12612 -9267 , 12613, 12520, 12517, 12610, 12617, 12528, 12522, 12614 -9268 , 12517, 12520, 12613, 12610, 12521, 12527, 12618, 12615 -9269 , 12616, 12526, 12520, 12613, 12620, 12531, 12528, 12617 -9270 , 12520, 12526, 12616, 12613, 12527, 12530, 12621, 12618 -9271 , 12619, 12529, 12526, 12616, 12623, 12534, 12531, 12620 -9272 , 12526, 12529, 12619, 12616, 12530, 12533, 12624, 12621 -9273 , 12622, 12532, 12529, 12619, 12626, 12537, 12534, 12623 -9274 , 12529, 12532, 12622, 12619, 12533, 12536, 12627, 12624 -9275 , 12625, 12535, 12532, 12622, 12629, 12540, 12537, 12626 -9276 , 12532, 12535, 12625, 12622, 12536, 12539, 12630, 12627 -9277 , 12628, 12538, 12535, 12625, 12632, 12543, 12540, 12629 -9278 , 12535, 12538, 12628, 12625, 12539, 12542, 12633, 12630 -9279 , 12631, 12541, 12538, 12628, 12635, 12546, 12543, 12632 -9280 , 12538, 12541, 12631, 12628, 12542, 12545, 12636, 12633 -9281 , 12634, 12544, 12541, 12631, 12638, 12551, 12546, 12635 -9282 , 12541, 12544, 12634, 12631, 12545, 12550, 12639, 12636 -9283 , 12637, 12547, 12544, 12634, 12641, 12557, 12551, 12638 -9284 , 12544, 12547, 12637, 12634, 12550, 12556, 12642, 12639 -9285 , 12469, 12392, 12390, 12466, 12391, 12387, 12384, 12388 -9286 , 12640, 12553, 12547, 12637, 12646, 12560, 12557, 12641 -9287 , 12547, 12553, 12640, 12637, 12556, 12559, 12647, 12642 -9288 , 12643, 12558, 12553, 12640, 12649, 12644, 12560, 12646 -9289 , 12553, 12558, 12643, 12640, 12559, 12645, 12650, 12647 -9290 , 12558, 12564, 12648, 12643, 12645, 12651, 12739, 12650 -9291 , 12648, 12564, 12558, 12643, 12738, 12652, 12644, 12649 -9292 , 12558, 12645, 12561, 12471, 12564, 12651, 12566, 12563 -9293 , 12564, 12563, 12471, 12558, 12652, 12565, 12562, 12644 -9294 , 7135, 7144, 7145, 7136, 12564, 12653, 12655, 12652 -9295 , 7137, 7146, 7144, 7135, 12651, 12656, 12653, 12564 -9296 , 7144, 7147, 7148, 7145, 12653, 12654, 12745, 12655 -9297 , 7146, 7149, 7147, 7144, 12656, 12746, 12654, 12653 -9298 , 7150, 7142, 7141, 7151, 12657, 12568, 12661, 12659 -9299 , 7152, 7143, 7142, 7150, 12660, 12662, 12568, 12657 -9300 , 7151, 7153, 7154, 7150, 12659, 12755, 12658, 12657 -9301 , 7150, 7154, 7155, 7152, 12657, 12658, 12756, 12660 -9302 , 7156, 7157, 7120, 7108, 12600, 12727, 12472, 12469 -9303 , 7156, 12600, 12469, 7108, 7158, 15493, 12392, 7106 -9304 , 12663, 12574, 12577, 12664, 12671, 12578, 12665, 12668 -9305 , 12577, 12574, 12663, 12664, 12666, 12579, 12672, 12669 -9306 , 12664, 12577, 12568, 12667, 12668, 12665, 12661, 12759 -9307 , 12568, 12577, 12664, 12667, 12662, 12666, 12669, 12760 -9308 , 12475, 12577, 12665, 12571, 12567, 12568, 12661, 12569 -9309 , 12572, 12666, 12577, 12475, 12570, 12662, 12568, 12567 -9310 , 12670, 12573, 12574, 12663, 12674, 12581, 12578, 12671 -9311 , 12574, 12573, 12670, 12663, 12579, 12582, 12675, 12672 -9312 , 12673, 12580, 12573, 12670, 12677, 12584, 12581, 12674 -9313 , 12573, 12580, 12673, 12670, 12582, 12585, 12678, 12675 -9314 , 12676, 12583, 12580, 12673, 12680, 12587, 12584, 12677 -9315 , 12580, 12583, 12676, 12673, 12585, 12588, 12681, 12678 -9316 , 12679, 12586, 12583, 12676, 12683, 12590, 12587, 12680 -9317 , 12583, 12586, 12679, 12676, 12588, 12591, 12684, 12681 -9318 , 12682, 12589, 12586, 12679, 12686, 12593, 12590, 12683 -9319 , 12586, 12589, 12682, 12679, 12591, 12594, 12687, 12684 -9320 , 12685, 12592, 12589, 12682, 12689, 12597, 12593, 12686 -9321 , 12589, 12592, 12685, 12682, 12594, 12598, 12690, 12687 -9322 , 12688, 12595, 12592, 12685, 12692, 12602, 12597, 12689 -9323 , 12592, 12595, 12688, 12685, 12598, 12603, 12693, 12690 -9324 , 12691, 12601, 12595, 12688, 12695, 12605, 12602, 12692 -9325 , 12595, 12601, 12691, 12688, 12603, 12606, 12696, 12693 -9326 , 12694, 12604, 12601, 12691, 12698, 12608, 12605, 12695 -9327 , 12601, 12604, 12694, 12691, 12606, 12609, 12699, 12696 -9328 , 12697, 12607, 12604, 12694, 12701, 12611, 12608, 12698 -9329 , 12604, 12607, 12697, 12694, 12609, 12612, 12702, 12699 -9330 , 12700, 12610, 12607, 12697, 12704, 12614, 12611, 12701 -9331 , 12607, 12610, 12700, 12697, 12612, 12615, 12705, 12702 -9332 , 12703, 12613, 12610, 12700, 12707, 12617, 12614, 12704 -9333 , 12610, 12613, 12703, 12700, 12615, 12618, 12708, 12705 -9334 , 12706, 12616, 12613, 12703, 12710, 12620, 12617, 12707 -9335 , 12613, 12616, 12706, 12703, 12618, 12621, 12711, 12708 -9336 , 12709, 12619, 12616, 12706, 12713, 12623, 12620, 12710 -9337 , 12616, 12619, 12709, 12706, 12621, 12624, 12714, 12711 -9338 , 12712, 12622, 12619, 12709, 12716, 12626, 12623, 12713 -9339 , 12619, 12622, 12712, 12709, 12624, 12627, 12717, 12714 -9340 , 12715, 12625, 12622, 12712, 12719, 12629, 12626, 12716 -9341 , 12622, 12625, 12715, 12712, 12627, 12630, 12720, 12717 -9342 , 12718, 12628, 12625, 12715, 12722, 12632, 12629, 12719 -9343 , 12625, 12628, 12718, 12715, 12630, 12633, 12723, 12720 -9344 , 12721, 12631, 12628, 12718, 12725, 12635, 12632, 12722 -9345 , 12628, 12631, 12721, 12718, 12633, 12636, 12726, 12723 -9346 , 12724, 12634, 12631, 12721, 12729, 12638, 12635, 12725 -9347 , 12631, 12634, 12724, 12721, 12636, 12639, 12730, 12726 -9348 , 7157, 7159, 7123, 7120, 12727, 13420, 12561, 12472 -9349 , 12728, 12637, 12634, 12724, 12732, 12641, 12638, 12729 -9350 , 12634, 12637, 12728, 12724, 12639, 12642, 12733, 12730 -9351 , 12731, 12640, 12637, 12728, 12735, 12646, 12641, 12732 -9352 , 12637, 12640, 12731, 12728, 12642, 12647, 12736, 12733 -9353 , 12734, 12643, 12640, 12731, 12740, 12649, 12646, 12735 -9354 , 12640, 12643, 12734, 12731, 12647, 12650, 12741, 12736 -9355 , 12737, 12648, 12643, 12734, 12743, 12738, 12649, 12740 -9356 , 12643, 12648, 12737, 12734, 12650, 12739, 12744, 12741 -9357 , 12742, 12654, 12648, 12737, 12834, 12745, 12738, 12743 -9358 , 12648, 12654, 12742, 12737, 12739, 12746, 12835, 12744 -9359 , 12738, 12648, 12564, 12652, 12745, 12654, 12653, 12655 -9360 , 12648, 12739, 12651, 12564, 12654, 12746, 12656, 12653 -9361 , 7147, 7160, 7161, 7148, 12654, 12747, 12749, 12745 -9362 , 7149, 7162, 7160, 7147, 12746, 12750, 12747, 12654 -9363 , 7160, 7163, 7164, 7161, 12747, 12748, 12842, 12749 -9364 , 7162, 7165, 7163, 7160, 12750, 12841, 12748, 12747 -9365 , 7166, 7154, 7153, 7167, 12751, 12658, 12755, 12753 -9366 , 7168, 7155, 7154, 7166, 12754, 12756, 12658, 12751 -9367 , 7167, 7169, 7170, 7166, 12753, 12844, 12752, 12751 -9368 , 7166, 7170, 7171, 7168, 12751, 12752, 12845, 12754 -9369 , 12757, 12664, 12667, 12758, 12765, 12668, 12759, 12762 -9370 , 12667, 12664, 12757, 12758, 12760, 12669, 12766, 12763 -9371 , 12758, 12667, 12658, 12761, 12762, 12759, 12755, 12848 -9372 , 12658, 12667, 12758, 12761, 12756, 12760, 12763, 12849 -9373 , 12568, 12667, 12759, 12661, 12657, 12658, 12755, 12659 -9374 , 12662, 12760, 12667, 12568, 12660, 12756, 12658, 12657 -9375 , 12764, 12663, 12664, 12757, 12768, 12671, 12668, 12765 -9376 , 12664, 12663, 12764, 12757, 12669, 12672, 12769, 12766 -9377 , 12767, 12670, 12663, 12764, 12771, 12674, 12671, 12768 -9378 , 12663, 12670, 12767, 12764, 12672, 12675, 12772, 12769 -9379 , 12770, 12673, 12670, 12767, 12774, 12677, 12674, 12771 -9380 , 12670, 12673, 12770, 12767, 12675, 12678, 12775, 12772 -9381 , 12773, 12676, 12673, 12770, 12777, 12680, 12677, 12774 -9382 , 12673, 12676, 12773, 12770, 12678, 12681, 12778, 12775 -9383 , 12776, 12679, 12676, 12773, 12780, 12683, 12680, 12777 -9384 , 12676, 12679, 12776, 12773, 12681, 12684, 10900, 12778 -9385 , 12779, 12682, 12679, 12776, 12782, 12686, 12683, 12780 -9386 , 12679, 12682, 12779, 12776, 12684, 12687, 10901, 10900 -9387 , 12781, 12685, 12682, 12779, 12784, 12689, 12686, 12782 -9388 , 12682, 12685, 12781, 12779, 12687, 12690, 10907, 10901 -9389 , 12783, 12688, 12685, 12781, 12786, 12692, 12689, 12784 -9390 , 12685, 12688, 12783, 12781, 12690, 12693, 10908, 10907 -9391 , 12785, 12691, 12688, 12783, 12788, 12695, 12692, 12786 -9392 , 12688, 12691, 12785, 12783, 12693, 12696, 12789, 10908 -9393 , 12787, 12694, 12691, 12785, 12792, 12698, 12695, 12788 -9394 , 12691, 12694, 12787, 12785, 12696, 12699, 12793, 12789 -9395 , 7172, 7173, 7116, 7126, 12790, 12855, 12478, 12476 -9396 , 7126, 7130, 7174, 7172, 12476, 12572, 13507, 12790 -9397 , 12791, 12697, 12694, 12787, 12795, 12701, 12698, 12792 -9398 , 12694, 12697, 12791, 12787, 12699, 12702, 12796, 12793 -9399 , 12794, 12700, 12697, 12791, 12798, 12704, 12701, 12795 -9400 , 12697, 12700, 12794, 12791, 12702, 12705, 12799, 12796 -9401 , 12797, 12703, 12700, 12794, 12801, 12707, 12704, 12798 -9402 , 12700, 12703, 12797, 12794, 12705, 12708, 12802, 12799 -9403 , 12800, 12706, 12703, 12797, 12804, 12710, 12707, 12801 -9404 , 12703, 12706, 12800, 12797, 12708, 12711, 12805, 12802 -9405 , 12803, 12709, 12706, 12800, 12807, 12713, 12710, 12804 -9406 , 12706, 12709, 12803, 12800, 12711, 12714, 12808, 12805 -9407 , 12806, 12712, 12709, 12803, 12810, 12716, 12713, 12807 -9408 , 12709, 12712, 12806, 12803, 12714, 12717, 12811, 12808 -9409 , 12809, 12715, 12712, 12806, 12813, 12719, 12716, 12810 -9410 , 12712, 12715, 12809, 12806, 12717, 12720, 12814, 12811 -9411 , 12812, 12718, 12715, 12809, 12816, 12722, 12719, 12813 -9412 , 12715, 12718, 12812, 12809, 12720, 12723, 12817, 12814 -9413 , 12815, 12721, 12718, 12812, 12819, 12725, 12722, 12816 -9414 , 12718, 12721, 12815, 12812, 12723, 12726, 12820, 12817 -9415 , 12818, 12724, 12721, 12815, 12822, 12729, 12725, 12819 -9416 , 12721, 12724, 12818, 12815, 12726, 12730, 12823, 12820 -9417 , 12821, 12728, 12724, 12818, 12825, 12732, 12729, 12822 -9418 , 12724, 12728, 12821, 12818, 12730, 12733, 12826, 12823 -9419 , 12824, 12731, 12728, 12821, 12828, 12735, 12732, 12825 -9420 , 12728, 12731, 12824, 12821, 12733, 12736, 12829, 12826 -9421 , 12827, 12734, 12731, 12824, 12831, 12740, 12735, 12828 -9422 , 12731, 12734, 12827, 12824, 12736, 12741, 12832, 12829 -9423 , 12830, 12737, 12734, 12827, 12836, 12743, 12740, 12831 -9424 , 12734, 12737, 12830, 12827, 12741, 12744, 12837, 12832 -9425 , 12833, 12742, 12737, 12830, 12838, 12834, 12743, 12836 -9426 , 12737, 12742, 12833, 12830, 12744, 12835, 12839, 12837 -9427 , 12838, 12833, 12742, 12834, 12919, 12840, 12748, 12842 -9428 , 12833, 12839, 12835, 12742, 12840, 12920, 12841, 12748 -9429 , 12742, 12835, 12746, 12654, 12748, 12841, 12750, 12747 -9430 , 12748, 12747, 12654, 12742, 12842, 12749, 12745, 12834 -9431 , 7163, 7175, 7176, 7164, 12748, 12840, 12919, 12842 -9432 , 7165, 7177, 7175, 7163, 12841, 12920, 12840, 12748 -9433 , 7169, 7178, 7179, 7170, 12844, 12925, 12843, 12752 -9434 , 7170, 7179, 7180, 7171, 12752, 12843, 12926, 12845 -9435 , 12846, 12758, 12761, 12847, 12853, 12762, 12848, 12851 -9436 , 12761, 12758, 12846, 12847, 12849, 12763, 12854, 12850 -9437 , 12756, 12849, 12761, 12658, 12754, 12845, 12752, 12751 -9438 , 12845, 12849, 12761, 12752, 12926, 12850, 12847, 12843 -9439 , 12761, 12658, 12751, 12752, 12848, 12755, 12753, 12844 -9440 , 12847, 12761, 12752, 12843, 12851, 12848, 12844, 12925 -9441 , 12852, 12757, 12758, 12846, 12857, 12765, 12762, 12853 -9442 , 12758, 12757, 12852, 12846, 12763, 12766, 12858, 12854 -9443 , 7116, 12478, 12855, 7173, 7113, 12397, 15496, 7181 -9444 , 12856, 12764, 12757, 12852, 12860, 12768, 12765, 12857 -9445 , 12757, 12764, 12856, 12852, 12766, 12769, 12861, 12858 -9446 , 12859, 12767, 12764, 12856, 12863, 12771, 12768, 12860 -9447 , 12764, 12767, 12859, 12856, 12769, 12772, 12864, 12861 -9448 , 12862, 12770, 12767, 12859, 12866, 12774, 12771, 12863 -9449 , 12767, 12770, 12862, 12859, 12772, 12775, 12867, 12864 -9450 , 12865, 12773, 12770, 12862, 12869, 12777, 12774, 12866 -9451 , 12770, 12773, 12865, 12862, 12775, 12778, 10910, 12867 -9452 , 12868, 12776, 12773, 12865, 12871, 12780, 12777, 12869 -9453 , 12773, 12776, 12868, 12865, 12778, 10900, 10899, 10910 -9454 , 12870, 12779, 12776, 12868, 12872, 12782, 12780, 12871 -9455 , 12776, 12779, 12870, 12868, 10900, 10901, 10902, 10899 -9456 , 10665, 12781, 12779, 12870, 12873, 12784, 12782, 12872 -9457 , 12779, 12781, 10665, 12870, 10901, 10907, 10669, 10902 -9458 , 10666, 12783, 12781, 10665, 10672, 12786, 12784, 12873 -9459 , 12781, 12783, 10666, 10665, 10907, 10908, 10670, 10669 -9460 , 10671, 12785, 12783, 10666, 10675, 12788, 12786, 10672 -9461 , 12783, 12785, 10671, 10666, 10908, 12789, 10676, 10670 -9462 , 10674, 12787, 12785, 10671, 10678, 12792, 12788, 10675 -9463 , 12785, 12787, 10674, 10671, 12789, 12793, 10679, 10676 -9464 , 10677, 12791, 12787, 10674, 10681, 12795, 12792, 10678 -9465 , 12787, 12791, 10677, 10674, 12793, 12796, 10682, 10679 -9466 , 10680, 12794, 12791, 10677, 12875, 12798, 12795, 10681 -9467 , 12791, 12794, 10680, 10677, 12796, 12799, 10770, 10682 -9468 , 12874, 12797, 12794, 10680, 12877, 12801, 12798, 12875 -9469 , 12794, 12797, 12874, 10680, 12799, 12802, 12878, 10770 -9470 , 12876, 12800, 12797, 12874, 12880, 12804, 12801, 12877 -9471 , 12797, 12800, 12876, 12874, 12802, 12805, 12881, 12878 -9472 , 12879, 12803, 12800, 12876, 12883, 12807, 12804, 12880 -9473 , 12800, 12803, 12879, 12876, 12805, 12808, 12884, 12881 -9474 , 12882, 12806, 12803, 12879, 12886, 12810, 12807, 12883 -9475 , 12803, 12806, 12882, 12879, 12808, 12811, 12887, 12884 -9476 , 12885, 12809, 12806, 12882, 12889, 12813, 12810, 12886 -9477 , 12806, 12809, 12885, 12882, 12811, 12814, 12890, 12887 -9478 , 12888, 12812, 12809, 12885, 12892, 12816, 12813, 12889 -9479 , 12809, 12812, 12888, 12885, 12814, 12817, 12893, 12890 -9480 , 12891, 12815, 12812, 12888, 12895, 12819, 12816, 12892 -9481 , 12812, 12815, 12891, 12888, 12817, 12820, 12896, 12893 -9482 , 12894, 12818, 12815, 12891, 12902, 12822, 12819, 12895 -9483 , 12815, 12818, 12894, 12891, 12820, 12823, 12903, 12896 -9484 , 12897, 12898, 12485, 12484, 12899, 12949, 12494, 12489 -9485 , 12485, 12898, 12897, 12484, 12401, 12950, 12900, 12399 -9486 , 12897, 12899, 12489, 12484, 12855, 13525, 12576, 12478 -9487 , 12900, 12897, 12484, 12399, 15496, 12855, 12478, 12397 -9488 , 12901, 12821, 12818, 12894, 12905, 12825, 12822, 12902 -9489 , 12818, 12821, 12901, 12894, 12823, 12826, 12906, 12903 -9490 , 12904, 12824, 12821, 12901, 12908, 12828, 12825, 12905 -9491 , 12821, 12824, 12904, 12901, 12826, 12829, 12909, 12906 -9492 , 12907, 12827, 12824, 12904, 12911, 12831, 12828, 12908 -9493 , 12824, 12827, 12907, 12904, 12829, 12832, 12912, 12909 -9494 , 12910, 12830, 12827, 12907, 12914, 12836, 12831, 12911 -9495 , 12827, 12830, 12910, 12907, 12832, 12837, 12915, 12912 -9496 , 12913, 12833, 12830, 12910, 12916, 12838, 12836, 12914 -9497 , 12830, 12833, 12913, 12910, 12837, 12839, 12917, 12915 -9498 , 12916, 12913, 12833, 12838, 12981, 12918, 12840, 12919 -9499 , 12913, 12917, 12839, 12833, 12918, 12982, 12920, 12840 -9500 , 7182, 7183, 7184, 7175, 12921, 12922, 12918, 12840 -9501 , 7177, 7185, 7182, 7175, 12920, 12923, 12921, 12840 -9502 , 7175, 7184, 7186, 7176, 12840, 12918, 12981, 12919 -9503 , 7185, 7187, 7183, 7182, 12923, 12985, 12922, 12921 -9504 , 7188, 7189, 7190, 7179, 12847, 12927, 12924, 12843 -9505 , 7178, 7191, 7188, 7179, 12925, 12851, 12847, 12843 -9506 , 7179, 7190, 7192, 7180, 12843, 12924, 12991, 12926 -9507 , 7191, 7193, 7189, 7188, 12851, 12992, 12927, 12847 -9508 , 12928, 12852, 12846, 12929, 12933, 12857, 12853, 12930 -9509 , 12846, 12852, 12928, 12929, 12854, 12858, 12934, 12931 -9510 , 12846, 12929, 12930, 12853, 12847, 12927, 12992, 12851 -9511 , 12854, 12931, 12929, 12846, 12850, 12998, 12927, 12847 -9512 , 12932, 12856, 12852, 12928, 12937, 12860, 12857, 12933 -9513 , 12852, 12856, 12932, 12928, 12858, 12861, 12938, 12934 -9514 , 7041, 7194, 7057, 7042, 12935, 13285, 12282, 12278 -9515 , 12936, 12859, 12856, 12932, 12940, 12863, 12860, 12937 -9516 , 12856, 12859, 12936, 12932, 12861, 12864, 12941, 12938 -9517 , 12939, 12862, 12859, 12936, 12943, 12866, 12863, 12940 -9518 , 12859, 12862, 12939, 12936, 12864, 12867, 12944, 12941 -9519 , 12942, 12865, 12862, 12939, 12946, 12869, 12866, 12943 -9520 , 12862, 12865, 12942, 12939, 12867, 10910, 10912, 12944 -9521 , 12945, 12868, 12865, 12942, 12947, 12871, 12869, 12946 -9522 , 12865, 12868, 12945, 12942, 10910, 10899, 10911, 10912 -9523 , 10683, 12870, 12868, 12945, 10687, 12872, 12871, 12947 -9524 , 12868, 12870, 10683, 12945, 10899, 10902, 10772, 10911 -9525 , 10668, 10665, 12870, 10683, 10688, 12873, 12872, 10687 -9526 , 12870, 10665, 10668, 10683, 10902, 10669, 10689, 10772 -9527 , 12898, 12948, 12492, 12485, 12949, 12989, 12497, 12494 -9528 , 12492, 12948, 12898, 12485, 12414, 12990, 12950, 12401 -9529 , 10512, 12874, 10680, 10447, 10513, 12877, 12875, 10449 -9530 , 10680, 12874, 10512, 10447, 10770, 12878, 10694, 10691 -9531 , 10692, 12876, 12874, 10512, 10697, 12880, 12877, 10513 -9532 , 12874, 12876, 10692, 10512, 12878, 12881, 10773, 10694 -9533 , 10698, 12879, 12876, 10692, 10701, 12883, 12880, 10697 -9534 , 12876, 12879, 10698, 10692, 12881, 12884, 10963, 10773 -9535 , 12951, 12882, 12879, 10698, 10711, 12886, 12883, 10701 -9536 , 12879, 12882, 12951, 10698, 12884, 12887, 12953, 10963 -9537 , 12952, 12885, 12882, 12951, 12955, 12889, 12886, 10711 -9538 , 12882, 12885, 12952, 12951, 12887, 12890, 12956, 12953 -9539 , 12954, 12888, 12885, 12952, 12958, 12892, 12889, 12955 -9540 , 12885, 12888, 12954, 12952, 12890, 12893, 12959, 12956 -9541 , 12957, 12891, 12888, 12954, 12961, 12895, 12892, 12958 -9542 , 12888, 12891, 12957, 12954, 12893, 12896, 12962, 12959 -9543 , 12960, 12894, 12891, 12957, 12964, 12902, 12895, 12961 -9544 , 12891, 12894, 12960, 12957, 12896, 12903, 12965, 12962 -9545 , 12963, 12901, 12894, 12960, 12967, 12905, 12902, 12964 -9546 , 12894, 12901, 12963, 12960, 12903, 12906, 12968, 12965 -9547 , 12966, 12904, 12901, 12963, 12970, 12908, 12905, 12967 -9548 , 12901, 12904, 12966, 12963, 12906, 12909, 12971, 12968 -9549 , 12969, 12907, 12904, 12966, 12973, 12911, 12908, 12970 -9550 , 12904, 12907, 12969, 12966, 12909, 12912, 12974, 12971 -9551 , 12972, 12910, 12907, 12969, 12976, 12914, 12911, 12973 -9552 , 12907, 12910, 12972, 12969, 12912, 12915, 12977, 12974 -9553 , 12975, 12913, 12910, 12972, 12979, 12916, 12914, 12976 -9554 , 12910, 12913, 12975, 12972, 12915, 12917, 12980, 12977 -9555 , 12978, 12918, 12913, 12975, 13043, 12981, 12916, 12979 -9556 , 12913, 12918, 12978, 12975, 12917, 12982, 13044, 12980 -9557 , 7184, 7183, 7195, 7186, 12918, 12922, 12984, 12981 -9558 , 7183, 7196, 7197, 7195, 12922, 12983, 13051, 12984 -9559 , 7187, 7198, 7196, 7183, 12985, 13050, 12983, 12922 -9560 , 7190, 7189, 7193, 7199, 12924, 12927, 12992, 12987 -9561 , 7199, 7200, 7201, 7190, 12987, 13053, 12986, 12924 -9562 , 7190, 7201, 7202, 7192, 12924, 12986, 13054, 12991 -9563 , 12948, 12988, 12412, 12492, 12989, 13019, 12500, 12497 -9564 , 12412, 12988, 12948, 12492, 12409, 13020, 12990, 12414 -9565 , 12993, 12928, 12929, 12994, 13000, 12933, 12930, 12996 -9566 , 12929, 12928, 12993, 12994, 12931, 12934, 13001, 12997 -9567 , 12994, 12929, 12927, 12995, 12996, 12930, 12992, 13057 -9568 , 12927, 12929, 12994, 12995, 12998, 12931, 12997, 13058 -9569 , 12999, 12932, 12928, 12993, 13003, 12937, 12933, 13000 -9570 , 12928, 12932, 12999, 12993, 12934, 12938, 13004, 13001 -9571 , 13002, 12936, 12932, 12999, 13006, 12940, 12937, 13003 -9572 , 12932, 12936, 13002, 12999, 12938, 12941, 13007, 13004 -9573 , 13005, 12939, 12936, 13002, 13009, 12943, 12940, 13006 -9574 , 12936, 12939, 13005, 13002, 12941, 12944, 13010, 13007 -9575 , 13008, 12942, 12939, 13005, 13012, 12946, 12943, 13009 -9576 , 12939, 12942, 13008, 13005, 12944, 10912, 10941, 13010 -9577 , 13011, 12945, 12942, 13008, 13013, 12947, 12946, 13012 -9578 , 12942, 12945, 13011, 13008, 10912, 10911, 10932, 10941 -9579 , 12945, 10683, 10687, 12947, 13011, 10685, 10686, 13013 -9580 , 10773, 10963, 10698, 10692, 10703, 10891, 10699, 10693 -9581 , 10961, 12951, 10698, 10699, 10712, 10711, 10701, 10700 -9582 , 10698, 12951, 10961, 10699, 10963, 12953, 10948, 10891 -9583 , 13014, 12952, 12951, 10961, 13016, 12955, 10711, 10712 -9584 , 12951, 12952, 13014, 10961, 12953, 12956, 13017, 10948 -9585 , 13015, 12954, 12952, 13014, 13022, 12958, 12955, 13016 -9586 , 12952, 12954, 13015, 13014, 12956, 12959, 13023, 13017 -9587 , 12988, 13018, 12419, 12412, 13019, 13080, 12503, 12500 -9588 , 12419, 13018, 12988, 12412, 12410, 13081, 13020, 12409 -9589 , 13021, 12957, 12954, 13015, 13025, 12961, 12958, 13022 -9590 , 12954, 12957, 13021, 13015, 12959, 12962, 13026, 13023 -9591 , 13024, 12960, 12957, 13021, 13028, 12964, 12961, 13025 -9592 , 12957, 12960, 13024, 13021, 12962, 12965, 13029, 13026 -9593 , 13027, 12963, 12960, 13024, 13031, 12967, 12964, 13028 -9594 , 12960, 12963, 13027, 13024, 12965, 12968, 13032, 13029 -9595 , 13030, 12966, 12963, 13027, 13034, 12970, 12967, 13031 -9596 , 12963, 12966, 13030, 13027, 12968, 12971, 13035, 13032 -9597 , 13033, 12969, 12966, 13030, 13037, 12973, 12970, 13034 -9598 , 12966, 12969, 13033, 13030, 12971, 12974, 13038, 13035 -9599 , 13036, 12972, 12969, 13033, 13040, 12976, 12973, 13037 -9600 , 12969, 12972, 13036, 13033, 12974, 12977, 13041, 13038 -9601 , 13039, 12975, 12972, 13036, 13045, 12979, 12976, 13040 -9602 , 12972, 12975, 13039, 13036, 12977, 12980, 13046, 13041 -9603 , 13042, 12978, 12975, 13039, 13047, 13043, 12979, 13045 -9604 , 12975, 12978, 13042, 13039, 12980, 13044, 13049, 13046 -9605 , 13047, 13042, 12978, 13043, 13112, 13048, 12983, 13051 -9606 , 12978, 12983, 13048, 13042, 13044, 13050, 13116, 13049 -9607 , 12978, 13044, 12982, 12918, 12983, 13050, 12985, 12922 -9608 , 12983, 12922, 12918, 12978, 13051, 12984, 12981, 13043 -9609 , 7196, 7203, 7204, 7197, 12983, 13048, 13112, 13051 -9610 , 7196, 7203, 13048, 12983, 7198, 7205, 13116, 13050 -9611 , 7200, 7206, 7207, 7201, 13053, 13118, 13052, 12986 -9612 , 13052, 7207, 7201, 12986, 13119, 7208, 7202, 13054 -9613 , 13055, 12994, 12995, 13056, 13062, 12996, 13057, 13059 -9614 , 12995, 12994, 13055, 13056, 13058, 12997, 13063, 13060 -9615 , 12927, 12995, 13057, 12992, 12924, 12986, 13053, 12987 -9616 , 12986, 12995, 13057, 13053, 13052, 13056, 13059, 13118 -9617 , 12995, 13058, 13054, 12986, 12927, 12998, 12991, 12924 -9618 , 13054, 13058, 12995, 12986, 13119, 13060, 13056, 13052 -9619 , 13061, 12993, 12994, 13055, 13065, 13000, 12996, 13062 -9620 , 12994, 12993, 13061, 13055, 12997, 13001, 13066, 13063 -9621 , 13064, 12999, 12993, 13061, 13068, 13003, 13000, 13065 -9622 , 12993, 12999, 13064, 13061, 13001, 13004, 13069, 13066 -9623 , 13067, 13002, 12999, 13064, 13071, 13006, 13003, 13068 -9624 , 12999, 13002, 13067, 13064, 13004, 13007, 13072, 13069 -9625 , 13070, 13005, 13002, 13067, 13074, 13009, 13006, 13071 -9626 , 13002, 13005, 13070, 13067, 13007, 13010, 13075, 13072 -9627 , 13073, 13008, 13005, 13070, 13077, 13012, 13009, 13074 -9628 , 13005, 13008, 13073, 13070, 13010, 10941, 10950, 13075 -9629 , 13076, 13011, 13008, 13073, 13078, 13013, 13012, 13077 -9630 , 13008, 13011, 13076, 13073, 10941, 10932, 10943, 10950 -9631 , 13078, 13076, 13011, 13013, 10090, 10087, 10685, 10686 -9632 , 13018, 13079, 12426, 12419, 13080, 13114, 12506, 12503 -9633 , 12426, 13079, 13018, 12419, 12418, 13115, 13081, 12410 -9634 , 13082, 13014, 10961, 10595, 13084, 13016, 10712, 10618 -9635 , 10961, 13014, 13082, 10595, 10948, 13017, 10956, 10894 -9636 , 10961, 10595, 10618, 10712, 10699, 10593, 10598, 10700 -9637 , 13083, 13015, 13014, 13082, 13086, 13022, 13016, 13084 -9638 , 13014, 13015, 13083, 13082, 13017, 13023, 13087, 10956 -9639 , 13085, 13021, 13015, 13083, 13089, 13025, 13022, 13086 -9640 , 13015, 13021, 13085, 13083, 13023, 13026, 13090, 13087 -9641 , 13088, 13024, 13021, 13085, 13092, 13028, 13025, 13089 -9642 , 13021, 13024, 13088, 13085, 13026, 13029, 13093, 13090 -9643 , 13091, 13027, 13024, 13088, 13095, 13031, 13028, 13092 -9644 , 13024, 13027, 13091, 13088, 13029, 13032, 13096, 13093 -9645 , 13094, 13030, 13027, 13091, 13098, 13034, 13031, 13095 -9646 , 13027, 13030, 13094, 13091, 13032, 13035, 13099, 13096 -9647 , 13097, 13033, 13030, 13094, 13101, 13037, 13034, 13098 -9648 , 13030, 13033, 13097, 13094, 13035, 13038, 13102, 13099 -9649 , 13100, 13036, 13033, 13097, 13104, 13040, 13037, 13101 -9650 , 13033, 13036, 13100, 13097, 13038, 13041, 13105, 13102 -9651 , 13103, 13039, 13036, 13100, 13107, 13045, 13040, 13104 -9652 , 13036, 13039, 13103, 13100, 13041, 13046, 13108, 13105 -9653 , 13106, 13042, 13039, 13103, 13109, 13047, 13045, 13107 -9654 , 13039, 13042, 13106, 13103, 13046, 13049, 13111, 13108 -9655 , 13109, 13106, 13042, 13047, 13174, 13110, 13048, 13112 -9656 , 13042, 13048, 13110, 13106, 13049, 13116, 13175, 13111 -9657 , 13079, 13113, 12429, 12426, 13114, 13142, 12509, 12506 -9658 , 12429, 13113, 13079, 12426, 12425, 13143, 13115, 12418 -9659 , 7203, 7209, 7210, 7204, 13048, 13110, 13174, 13112 -9660 , 7203, 7209, 13110, 13048, 7205, 7211, 13175, 13116 -9661 , 7212, 7213, 7214, 7207, 13056, 13120, 13117, 13052 -9662 , 7206, 7215, 7212, 7207, 13118, 13059, 13056, 13052 -9663 , 13117, 7214, 7207, 13052, 13176, 7216, 7208, 13119 -9664 , 7215, 7217, 7213, 7212, 13059, 13178, 13120, 13056 -9665 , 13121, 13061, 13055, 13122, 13126, 13065, 13062, 13123 -9666 , 13055, 13061, 13121, 13122, 13063, 13066, 13127, 13124 -9667 , 13055, 13122, 13123, 13062, 13056, 13120, 13178, 13059 -9668 , 13056, 13055, 13122, 13120, 13060, 13063, 13124, 13179 -9669 , 13125, 13064, 13061, 13121, 13129, 13068, 13065, 13126 -9670 , 13061, 13064, 13125, 13121, 13066, 13069, 13130, 13127 -9671 , 13128, 13067, 13064, 13125, 13132, 13071, 13068, 13129 -9672 , 13064, 13067, 13128, 13125, 13069, 13072, 13133, 13130 -9673 , 13131, 13070, 13067, 13128, 13135, 13074, 13071, 13132 -9674 , 13067, 13070, 13131, 13128, 13072, 13075, 13136, 13133 -9675 , 13134, 13073, 13070, 13131, 13138, 13077, 13074, 13135 -9676 , 13070, 13073, 13134, 13131, 13075, 10950, 13139, 13136 -9677 , 13137, 13076, 13073, 13134, 13140, 13078, 13077, 13138 -9678 , 13073, 13076, 13137, 13134, 10950, 10943, 10952, 13139 -9679 , 10135, 10087, 13076, 13137, 10128, 10090, 13078, 13140 -9680 , 13076, 10087, 10135, 13137, 10943, 10771, 10929, 10952 -9681 , 13113, 13141, 12432, 12429, 13142, 13200, 12512, 12509 -9682 , 12432, 13141, 13113, 12429, 12339, 13201, 13143, 12425 -9683 , 13144, 13082, 10595, 10596, 13146, 13084, 10618, 10601 -9684 , 10595, 13082, 13144, 10596, 10894, 10956, 10957, 10896 -9685 , 13145, 13083, 13082, 13144, 13148, 13086, 13084, 13146 -9686 , 13082, 13083, 13145, 13144, 10956, 13087, 13149, 10957 -9687 , 13147, 13085, 13083, 13145, 13151, 13089, 13086, 13148 -9688 , 13083, 13085, 13147, 13145, 13087, 13090, 13152, 13149 -9689 , 13150, 13088, 13085, 13147, 13154, 13092, 13089, 13151 -9690 , 13085, 13088, 13150, 13147, 13090, 13093, 13155, 13152 -9691 , 13153, 13091, 13088, 13150, 13157, 13095, 13092, 13154 -9692 , 13088, 13091, 13153, 13150, 13093, 13096, 13158, 13155 -9693 , 13156, 13094, 13091, 13153, 13160, 13098, 13095, 13157 -9694 , 13091, 13094, 13156, 13153, 13096, 13099, 13161, 13158 -9695 , 13159, 13097, 13094, 13156, 13163, 13101, 13098, 13160 -9696 , 13094, 13097, 13159, 13156, 13099, 13102, 13164, 13161 -9697 , 13162, 13100, 13097, 13159, 13166, 13104, 13101, 13163 -9698 , 13097, 13100, 13162, 13159, 13102, 13105, 13167, 13164 -9699 , 13165, 13103, 13100, 13162, 13169, 13107, 13104, 13166 -9700 , 13100, 13103, 13165, 13162, 13105, 13108, 13170, 13167 -9701 , 13168, 13106, 13103, 13165, 13171, 13109, 13107, 13169 -9702 , 13103, 13106, 13168, 13165, 13108, 13111, 13173, 13170 -9703 , 13171, 13168, 13106, 13109, 13232, 13172, 13110, 13174 -9704 , 13106, 13110, 13172, 13168, 13111, 13175, 13233, 13173 -9705 , 7209, 7218, 7219, 7210, 13110, 13172, 13232, 13174 -9706 , 7209, 7218, 13172, 13110, 7211, 7220, 13233, 13175 -9707 , 13117, 13120, 7213, 7214, 13176, 13179, 7221, 7216 -9708 , 7217, 7222, 7223, 7213, 13178, 13234, 13177, 13120 -9709 , 13177, 7223, 7213, 13120, 13235, 7224, 7221, 13179 -9710 , 13180, 13121, 13122, 13181, 13186, 13126, 13123, 13183 -9711 , 13122, 13121, 13180, 13181, 13124, 13127, 13185, 13182 -9712 , 13179, 13124, 13122, 13120, 13235, 13182, 13181, 13177 -9713 , 13181, 13122, 13120, 13177, 13183, 13123, 13178, 13234 -9714 , 13121, 13125, 13129, 13126, 13180, 13184, 13188, 13186 -9715 , 13121, 13125, 13184, 13180, 13127, 13130, 13189, 13185 -9716 , 7015, 7039, 7017, 7016, 12260, 12322, 12320, 12238 -9717 , 13125, 13128, 13132, 13129, 13184, 13187, 13191, 13188 -9718 , 13125, 13128, 13187, 13184, 13130, 13133, 13192, 13189 -9719 , 13190, 13131, 13128, 13187, 13194, 13135, 13132, 13191 -9720 , 13128, 13131, 13190, 13187, 13133, 13136, 13195, 13192 -9721 , 13193, 13134, 13131, 13190, 13197, 13138, 13135, 13194 -9722 , 13131, 13134, 13193, 13190, 13136, 13139, 13198, 13195 -9723 , 13196, 13137, 13134, 13193, 13202, 13140, 13138, 13197 -9724 , 13134, 13137, 13196, 13193, 13139, 10952, 13204, 13198 -9725 , 13141, 13199, 12435, 12432, 13200, 13224, 12515, 12512 -9726 , 12435, 13199, 13141, 12432, 12346, 13225, 13201, 12339 -9727 , 13202, 13196, 13137, 13140, 10137, 13203, 10135, 10128 -9728 , 13137, 10135, 13203, 13196, 10952, 10929, 13246, 13204 -9729 , 7225, 7226, 7227, 7228, 10135, 13203, 10100, 10096 -9730 , 7225, 10135, 10096, 7228, 7230, 10929, 10252, 7229 -9731 , 7225, 7226, 13203, 10135, 7230, 7231, 13246, 10929 -9732 , 11282, 13144, 10596, 10600, 13205, 13146, 10601, 10603 -9733 , 10596, 13144, 11282, 10600, 10896, 10957, 11279, 11160 -9734 , 11281, 13145, 13144, 11282, 13206, 13148, 13146, 13205 -9735 , 13144, 13145, 11281, 11282, 10957, 13149, 11280, 11279 -9736 , 11290, 13147, 13145, 11281, 13208, 13151, 13148, 13206 -9737 , 13145, 13147, 11290, 11281, 13149, 13152, 11287, 11280 -9738 , 13207, 13150, 13147, 11290, 13210, 13154, 13151, 13208 -9739 , 13147, 13150, 13207, 11290, 13152, 13155, 11744, 11287 -9740 , 13209, 13153, 13150, 13207, 13212, 13157, 13154, 13210 -9741 , 13150, 13153, 13209, 13207, 13155, 13158, 13213, 11744 -9742 , 13211, 13156, 13153, 13209, 13215, 13160, 13157, 13212 -9743 , 13153, 13156, 13211, 13209, 13158, 13161, 13216, 13213 -9744 , 13214, 13159, 13156, 13211, 13218, 13163, 13160, 13215 -9745 , 13156, 13159, 13214, 13211, 13161, 13164, 13219, 13216 -9746 , 13217, 13162, 13159, 13214, 13221, 13166, 13163, 13218 -9747 , 13159, 13162, 13217, 13214, 13164, 13167, 13222, 13219 -9748 , 13220, 13165, 13162, 13217, 13227, 13169, 13166, 13221 -9749 , 13162, 13165, 13220, 13217, 13167, 13170, 13228, 13222 -9750 , 13199, 13223, 12438, 12435, 13224, 13250, 12518, 12515 -9751 , 12438, 13223, 13199, 12435, 12352, 13251, 13225, 12346 -9752 , 13226, 13168, 13165, 13220, 13229, 13171, 13169, 13227 -9753 , 13165, 13168, 13226, 13220, 13170, 13173, 13231, 13228 -9754 , 13229, 13226, 13168, 13171, 13268, 13230, 13172, 13232 -9755 , 13168, 13172, 13230, 13226, 13173, 13233, 13269, 13231 -9756 , 7218, 7239, 7240, 7219, 13172, 13230, 13268, 13232 -9757 , 7218, 7239, 13230, 13172, 7220, 7241, 13269, 13233 -9758 , 7222, 7242, 7243, 7223, 13234, 13183, 13181, 13177 -9759 , 13181, 7243, 7223, 13177, 13182, 7244, 7224, 13235 -9760 , 7242, 7245, 7246, 7243, 13183, 13186, 13180, 13181 -9761 , 13180, 7246, 7243, 13181, 13185, 7247, 7244, 13182 -9762 , 7245, 7248, 7249, 7246, 13186, 13188, 13184, 13180 -9763 , 13184, 7249, 7246, 13180, 13189, 7250, 7247, 13185 -9764 , 7251, 7252, 7253, 7249, 13187, 13237, 13236, 13184 -9765 , 7248, 7254, 7251, 7249, 13188, 13191, 13187, 13184 -9766 , 13236, 7253, 7249, 13184, 13270, 7255, 7250, 13189 -9767 , 7254, 7256, 7252, 7251, 13191, 13271, 13237, 13187 -9768 , 13190, 13193, 13197, 13194, 13239, 13238, 13243, 13241 -9769 , 13190, 13193, 13238, 13239, 13195, 13198, 13244, 13240 -9770 , 13195, 13240, 13239, 13190, 13192, 13272, 13237, 13187 -9771 , 13239, 13190, 13187, 13237, 13241, 13194, 13191, 13271 -9772 , 13193, 13196, 13202, 13197, 13238, 13242, 13245, 13243 -9773 , 13193, 13196, 13242, 13238, 13198, 13204, 13247, 13244 -9774 , 13196, 13203, 10137, 13202, 13242, 13248, 13273, 13245 -9775 , 13204, 13246, 13203, 13196, 13247, 13274, 13248, 13242 -9776 , 7257, 7258, 7227, 7226, 10137, 10136, 10100, 13203 -9777 , 7226, 7259, 7260, 7257, 13203, 13248, 13273, 10137 -9778 , 7226, 7259, 13248, 13203, 7231, 7261, 13274, 13246 -9779 , 13223, 13249, 12441, 12438, 13250, 13276, 12521, 12518 -9780 , 12441, 13249, 13223, 12438, 12358, 13277, 13251, 12352 -9781 , 10600, 11282, 13205, 10603, 11291, 11284, 11294, 11295 -9782 , 11286, 11281, 11282, 11284, 11302, 13206, 13205, 11294 -9783 , 11289, 11290, 11281, 11286, 11308, 13208, 13206, 11302 -9784 , 11304, 13207, 11290, 11289, 11313, 13210, 13208, 11308 -9785 , 11290, 13207, 11304, 11289, 11287, 11744, 11306, 11288 -9786 , 11310, 13209, 13207, 11304, 13253, 13212, 13210, 11313 -9787 , 13207, 13209, 11310, 11304, 11744, 13213, 11315, 11306 -9788 , 13252, 13211, 13209, 11310, 13255, 13215, 13212, 13253 -9789 , 13209, 13211, 13252, 11310, 13213, 13216, 11753, 11315 -9790 , 13254, 13214, 13211, 13252, 13257, 13218, 13215, 13255 -9791 , 13211, 13214, 13254, 13252, 13216, 13219, 13258, 11753 -9792 , 13256, 13217, 13214, 13254, 13260, 13221, 13218, 13257 -9793 , 13214, 13217, 13256, 13254, 13219, 13222, 13261, 13258 -9794 , 13259, 13220, 13217, 13256, 13263, 13227, 13221, 13260 -9795 , 13217, 13220, 13259, 13256, 13222, 13228, 13264, 13261 -9796 , 13262, 13226, 13220, 13259, 13265, 13229, 13227, 13263 -9797 , 13220, 13226, 13262, 13259, 13228, 13231, 13266, 13264 -9798 , 13265, 13262, 13226, 13229, 13292, 13267, 13230, 13268 -9799 , 13262, 13266, 13231, 13226, 13267, 13289, 13269, 13230 -9800 , 7239, 7270, 7271, 7240, 13230, 13267, 13292, 13268 -9801 , 7239, 7270, 13267, 13230, 7241, 7272, 13289, 13269 -9802 , 13236, 13237, 7252, 7253, 13270, 13272, 7273, 7255 -9803 , 7256, 7274, 7275, 7252, 13271, 13241, 13239, 13237 -9804 , 13239, 7275, 7252, 13237, 13240, 7276, 7273, 13272 -9805 , 7274, 7277, 7278, 7275, 13241, 13243, 13238, 13239 -9806 , 13238, 7278, 7275, 13239, 13244, 7279, 7276, 13240 -9807 , 7277, 7280, 7281, 7278, 13243, 13245, 13242, 13238 -9808 , 13242, 7281, 7278, 13238, 13247, 7282, 7279, 13244 -9809 , 7280, 7260, 7259, 7281, 13245, 13273, 13248, 13242 -9810 , 13248, 7259, 7281, 13242, 13274, 7261, 7282, 13247 -9811 , 13249, 13275, 12444, 12441, 13276, 13295, 12527, 12521 -9812 , 12444, 13275, 13249, 12441, 12364, 13296, 13277, 12358 -9813 , 11336, 13252, 11310, 11311, 13279, 13255, 13253, 11333 -9814 , 11310, 13252, 11336, 11311, 11315, 11753, 11338, 11316 -9815 , 13278, 13254, 13252, 11336, 13281, 13257, 13255, 13279 -9816 , 13252, 13254, 13278, 11336, 11753, 13258, 11762, 11338 -9817 , 13280, 13256, 13254, 13278, 13283, 13260, 13257, 13281 -9818 , 13254, 13256, 13280, 13278, 13258, 13261, 13284, 11762 -9819 , 13282, 13259, 13256, 13280, 13287, 13263, 13260, 13283 -9820 , 13256, 13259, 13282, 13280, 13261, 13264, 13288, 13284 -9821 , 7194, 7292, 7060, 7057, 13285, 13437, 12285, 12282 -9822 , 13286, 13262, 13259, 13282, 13293, 13265, 13263, 13287 -9823 , 13259, 13262, 13286, 13282, 13264, 13266, 13290, 13288 -9824 , 13266, 13289, 13267, 13262, 13290, 13305, 13291, 13286 -9825 , 13291, 13267, 13262, 13286, 13304, 13292, 13265, 13293 -9826 , 7270, 7293, 7294, 7271, 13267, 13291, 13304, 13292 -9827 , 7270, 7293, 13291, 13267, 7272, 7295, 13305, 13289 -9828 , 13275, 13294, 12447, 12444, 13295, 13307, 12530, 12527 -9829 , 12447, 13294, 13275, 12444, 12368, 13308, 13296, 12364 -9830 , 11363, 13278, 11336, 11337, 13298, 13281, 13279, 11360 -9831 , 11336, 13278, 11363, 11337, 11338, 11762, 11365, 11341 -9832 , 13297, 13280, 13278, 11363, 13300, 13283, 13281, 13298 -9833 , 13278, 13280, 13297, 11363, 11762, 13284, 11773, 11365 -9834 , 13299, 13282, 13280, 13297, 13301, 13287, 13283, 13300 -9835 , 13280, 13282, 13299, 13297, 13284, 13288, 13303, 11773 -9836 , 13301, 13299, 13282, 13287, 13310, 13302, 13286, 13293 -9837 , 13282, 13286, 13302, 13299, 13288, 13290, 13312, 13303 -9838 , 7303, 7294, 7293, 7304, 13293, 13304, 13291, 13286 -9839 , 13291, 7293, 7304, 13286, 13305, 7295, 7305, 13290 -9840 , 7304, 7306, 7307, 7303, 13286, 13302, 13310, 13293 -9841 , 7304, 7306, 13302, 13286, 7305, 7308, 13312, 13290 -9842 , 13294, 13306, 12263, 12447, 13307, 13315, 12533, 12530 -9843 , 12263, 13306, 13294, 12447, 12249, 12248, 13308, 12368 -9844 , 11392, 13297, 11363, 11364, 11485, 13300, 13298, 11389 -9845 , 11363, 13297, 11392, 11364, 11365, 11773, 11394, 11368 -9846 , 13309, 13299, 13297, 11392, 13311, 13301, 13300, 11485 -9847 , 13297, 13299, 13309, 11392, 11773, 13303, 13313, 11394 -9848 , 13299, 13302, 13310, 13301, 13309, 13314, 13317, 13311 -9849 , 13303, 13312, 13302, 13299, 13313, 13318, 13314, 13309 -9850 , 7306, 7314, 7315, 7307, 13302, 13314, 13317, 13310 -9851 , 7306, 7314, 13314, 13302, 7308, 7316, 13318, 13312 -9852 , 13306, 12244, 12245, 12263, 13315, 13319, 12536, 12533 -9853 , 11394, 13313, 13309, 11392, 11722, 13321, 13316, 11393 -9854 , 13316, 13309, 11392, 11393, 13320, 13311, 11485, 11486 -9855 , 7322, 7315, 7314, 7323, 13311, 13317, 13314, 13309 -9856 , 13314, 7314, 7323, 13309, 13318, 7316, 7324, 13313 -9857 , 7323, 7325, 7326, 7322, 13309, 13316, 13320, 13311 -9858 , 7323, 7325, 13316, 13309, 7324, 7327, 13321, 13313 -9859 , 7339, 7326, 7325, 7335, 11486, 13320, 13316, 11393 -9860 , 13316, 7325, 7335, 11393, 13321, 7327, 7336, 11722 -9861 , 12244, 12294, 12252, 12245, 13319, 13322, 12539, 12536 -9862 , 12294, 12382, 12326, 12252, 13322, 13323, 12542, 12539 -9863 , 7047, 7380, 7050, 7048, 12269, 12336, 12323, 12266 -9864 , 7052, 7381, 7380, 7047, 12272, 12335, 12336, 12269 -9865 , 7054, 7382, 7381, 7052, 12275, 12344, 12335, 12272 -9866 , 12382, 12453, 12422, 12326, 13323, 13338, 12545, 12542 -9867 , 7056, 7383, 7382, 7054, 12279, 12350, 12344, 12275 -9868 , 7059, 7384, 7383, 7056, 12281, 12355, 12350, 12279 -9869 , 7062, 7385, 7384, 7059, 12284, 12361, 12355, 12281 -9870 , 7064, 7386, 7385, 7062, 12287, 12366, 12361, 12284 -9871 , 7067, 7387, 7386, 7064, 12290, 12369, 12366, 12287 -9872 , 7067, 7070, 7388, 7389, 12290, 12297, 13325, 13324 -9873 , 7389, 7390, 7387, 7067, 13324, 13340, 12369, 12290 -9874 , 7070, 7073, 7391, 7388, 12297, 12300, 13326, 13325 -9875 , 7076, 7082, 7392, 7073, 12304, 12378, 12374, 12300 -9876 , 7073, 7392, 7393, 7391, 12300, 12374, 13343, 13326 -9877 , 7093, 7092, 7394, 7395, 12314, 12317, 13328, 13327 -9878 , 7395, 7396, 7095, 7093, 13327, 13348, 12402, 12314 -9879 , 7092, 7097, 7397, 7394, 12317, 12319, 13329, 13328 -9880 , 7097, 7098, 7398, 7397, 12319, 12321, 13330, 13329 -9881 , 7098, 7050, 7399, 7398, 12321, 12323, 13331, 13330 -9882 , 7050, 7380, 7400, 7399, 12323, 12336, 13332, 13331 -9883 , 7380, 7381, 7401, 7400, 12336, 12335, 13333, 13332 -9884 , 7381, 7382, 7402, 7401, 12335, 12344, 13334, 13333 -9885 , 7382, 7383, 7403, 7402, 12344, 12350, 13335, 13334 -9886 , 7383, 7384, 7404, 7403, 12350, 12355, 13336, 13335 -9887 , 7384, 7385, 7405, 7404, 12355, 12361, 13337, 13336 -9888 , 7385, 7386, 7406, 7405, 12361, 12366, 13339, 13337 -9889 , 12453, 12524, 12464, 12422, 13338, 13368, 12550, 12545 -9890 , 7386, 7387, 7390, 7406, 12366, 12369, 13340, 13339 -9891 , 12375, 12371, 12369, 12372, 13341, 13342, 13340, 13371 -9892 , 12377, 12374, 12371, 12375, 13374, 13343, 13342, 13341 -9893 , 12371, 12297, 12290, 12369, 13342, 13325, 13324, 13340 -9894 , 12374, 12300, 12297, 12371, 13343, 13326, 13325, 13342 -9895 , 7392, 7082, 7407, 7393, 12374, 12378, 13344, 13343 -9896 , 7082, 7099, 7408, 7407, 12378, 12385, 13345, 13344 -9897 , 7101, 7107, 7409, 7099, 12389, 12467, 12461, 12385 -9898 , 7099, 7409, 7410, 7408, 12385, 12461, 13379, 13345 -9899 , 7111, 7411, 7117, 7112, 12398, 12487, 12479, 12396 -9900 , 7111, 7118, 7412, 7413, 12398, 12400, 13347, 13346 -9901 , 7413, 7414, 7411, 7111, 13346, 13384, 12487, 12398 -9902 , 7118, 7095, 7396, 7412, 12400, 12402, 13348, 13347 -9903 , 12420, 12407, 12408, 12413, 13353, 13349, 13350, 13351 -9904 , 12407, 12319, 12317, 12408, 13349, 13329, 13328, 13350 -9905 , 12413, 12408, 12402, 12493, 13351, 13350, 13348, 13385 -9906 , 12408, 12317, 12314, 12402, 13350, 13328, 13327, 13348 -9907 , 12427, 12417, 12407, 12420, 13355, 13352, 13349, 13353 -9908 , 12417, 12321, 12319, 12407, 13352, 13330, 13329, 13349 -9909 , 12430, 12424, 12417, 12427, 13357, 13354, 13352, 13355 -9910 , 12424, 12323, 12321, 12417, 13354, 13331, 13330, 13352 -9911 , 12433, 12338, 12424, 12430, 13359, 13356, 13354, 13357 -9912 , 13356, 12338, 12424, 13354, 13332, 12336, 12323, 13331 -9913 , 12436, 12345, 12338, 12433, 13361, 13358, 13356, 13359 -9914 , 13358, 12345, 12338, 13356, 13333, 12335, 12336, 13332 -9915 , 12439, 12351, 12345, 12436, 13363, 13360, 13358, 13361 -9916 , 12351, 12344, 12335, 12345, 13360, 13334, 13333, 13358 -9917 , 12442, 12357, 12351, 12439, 13365, 13362, 13360, 13363 -9918 , 12357, 12350, 12344, 12351, 13362, 13335, 13334, 13360 -9919 , 12445, 12363, 12357, 12442, 13367, 13364, 13362, 13365 -9920 , 12363, 12355, 12350, 12357, 13364, 13336, 13335, 13362 -9921 , 12448, 12367, 12363, 12445, 13370, 13366, 13364, 13367 -9922 , 12367, 12361, 12355, 12363, 13366, 13337, 13336, 13364 -9923 , 12524, 12596, 12548, 12464, 13368, 13395, 12556, 12550 -9924 , 12449, 12370, 12367, 12448, 13372, 13369, 13366, 13370 -9925 , 13369, 12370, 12367, 13366, 13339, 12366, 12361, 13337 -9926 , 12450, 12372, 12370, 12449, 13373, 13371, 13369, 13372 -9927 , 13371, 12372, 12370, 13369, 13340, 12369, 12366, 13339 -9928 , 12455, 12375, 12372, 12450, 13375, 13341, 13371, 13373 -9929 , 12458, 12377, 12375, 12455, 13377, 13374, 13341, 13375 -9930 , 12462, 12457, 12377, 12458, 13378, 13376, 13374, 13377 -9931 , 12457, 12378, 12374, 12377, 13376, 13344, 13343, 13374 -9932 , 12465, 12461, 12457, 12462, 13405, 13379, 13376, 13378 -9933 , 12461, 12385, 12378, 12457, 13379, 13345, 13344, 13376 -9934 , 7409, 7107, 7415, 7410, 12461, 12467, 13380, 13379 -9935 , 7107, 7119, 7416, 7415, 12467, 12470, 13381, 13380 -9936 , 7122, 7125, 7417, 7119, 12473, 12562, 12555, 12470 -9937 , 7119, 7417, 7418, 7416, 12470, 12555, 13410, 13381 -9938 , 7128, 7117, 7419, 7420, 12477, 12479, 13383, 13382 -9939 , 7420, 7421, 7131, 7128, 13382, 13413, 12571, 12477 -9940 , 7117, 7411, 7414, 7419, 12479, 12487, 13384, 13383 -9941 , 12498, 12493, 12486, 12495, 13388, 13385, 13386, 13387 -9942 , 12493, 12402, 12400, 12486, 13385, 13348, 13347, 13386 -9943 , 12495, 12486, 12487, 12490, 13387, 13386, 13384, 13414 -9944 , 12486, 12400, 12398, 12487, 13386, 13347, 13346, 13384 -9945 , 12501, 12413, 12493, 12498, 13389, 13351, 13385, 13388 -9946 , 12504, 12420, 12413, 12501, 13390, 13353, 13351, 13389 -9947 , 12507, 12427, 12420, 12504, 13391, 13355, 13353, 13390 -9948 , 12510, 12430, 12427, 12507, 13392, 13357, 13355, 13391 -9949 , 12513, 12433, 12430, 12510, 13393, 13359, 13357, 13392 -9950 , 12516, 12436, 12433, 12513, 13396, 13361, 13359, 13393 -9951 , 12596, 13394, 12554, 12548, 13395, 13419, 12559, 12556 -9952 , 12519, 12439, 12436, 12516, 13397, 13363, 13361, 13396 -9953 , 12522, 12442, 12439, 12519, 13398, 13365, 13363, 13397 -9954 , 12528, 12445, 12442, 12522, 13399, 13367, 13365, 13398 -9955 , 12531, 12448, 12445, 12528, 13400, 13370, 13367, 13399 -9956 , 12534, 12449, 12448, 12531, 13401, 13372, 13370, 13400 -9957 , 12537, 12450, 12449, 12534, 13402, 13373, 13372, 13401 -9958 , 12540, 12455, 12450, 12537, 13403, 13375, 13373, 13402 -9959 , 12543, 12458, 12455, 12540, 13404, 13377, 13375, 13403 -9960 , 12546, 12462, 12458, 12543, 13406, 13378, 13377, 13404 -9961 , 12551, 12465, 12462, 12546, 13408, 13405, 13378, 13406 -9962 , 12557, 12549, 12465, 12551, 13409, 13407, 13405, 13408 -9963 , 12549, 12467, 12461, 12465, 13407, 13380, 13379, 13405 -9964 , 12560, 12555, 12549, 12557, 13439, 13410, 13407, 13409 -9965 , 12555, 12470, 12467, 12549, 13410, 13381, 13380, 13407 -9966 , 7417, 7125, 7422, 7418, 12555, 12562, 13411, 13410 -9967 , 7133, 7136, 7423, 7125, 12565, 12652, 12644, 12562 -9968 , 7125, 7423, 7424, 7422, 12562, 12644, 13442, 13411 -9969 , 7139, 7131, 7421, 7425, 12569, 12571, 13413, 13412 -9970 , 7425, 7426, 7141, 7139, 13412, 13446, 12661, 12569 -9971 , 12581, 12490, 12575, 12578, 13417, 13414, 13415, 13416 -9972 , 13414, 12490, 12575, 13415, 13384, 12487, 12479, 13383 -9973 , 12578, 12575, 12571, 12665, 13416, 13415, 13413, 13447 -9974 , 12575, 12479, 12477, 12571, 13415, 13383, 13382, 13413 -9975 , 12584, 12495, 12490, 12581, 13418, 13387, 13414, 13417 -9976 , 12587, 12498, 12495, 12584, 13421, 13388, 13387, 13418 -9977 , 12559, 13419, 13394, 12554, 12645, 13793, 13420, 12561 -9978 , 12554, 13394, 12600, 12469, 12561, 13420, 12727, 12472 -9979 , 12590, 12501, 12498, 12587, 13422, 13389, 13388, 13421 -9980 , 12593, 12504, 12501, 12590, 13423, 13390, 13389, 13422 -9981 , 12597, 12507, 12504, 12593, 13424, 13391, 13390, 13423 -9982 , 12602, 12510, 12507, 12597, 13425, 13392, 13391, 13424 -9983 , 12605, 12513, 12510, 12602, 13426, 13393, 13392, 13425 -9984 , 12608, 12516, 12513, 12605, 13427, 13396, 13393, 13426 -9985 , 12611, 12519, 12516, 12608, 13428, 13397, 13396, 13427 -9986 , 12614, 12522, 12519, 12611, 13429, 13398, 13397, 13428 -9987 , 12617, 12528, 12522, 12614, 13430, 13399, 13398, 13429 -9988 , 12620, 12531, 12528, 12617, 13431, 13400, 13399, 13430 -9989 , 12623, 12534, 12531, 12620, 13432, 13401, 13400, 13431 -9990 , 12626, 12537, 12534, 12623, 13433, 13402, 13401, 13432 -9991 , 12629, 12540, 12537, 12626, 13434, 13403, 13402, 13433 -9992 , 12632, 12543, 12540, 12629, 13435, 13404, 13403, 13434 -9993 , 12635, 12546, 12543, 12632, 13436, 13406, 13404, 13435 -9994 , 12638, 12551, 12546, 12635, 13438, 13408, 13406, 13436 -9995 , 7292, 7427, 7065, 7060, 13437, 13613, 12288, 12285 -9996 , 12641, 12557, 12551, 12638, 13440, 13409, 13408, 13438 -9997 , 12646, 12560, 12557, 12641, 13441, 13439, 13409, 13440 -9998 , 12649, 12644, 12560, 12646, 13471, 13442, 13439, 13441 -9999 , 12644, 12562, 12555, 12560, 13442, 13411, 13410, 13439 -10000 , 7423, 7136, 7428, 7424, 12644, 12652, 13443, 13442 -10001 , 7159, 7429, 7134, 7123, 13420, 13464, 12566, 12561 -10002 , 7136, 7145, 7430, 7428, 12652, 12655, 13444, 13443 -10003 , 7145, 7148, 7431, 7430, 12655, 12745, 13476, 13444 -10004 , 7151, 7141, 7426, 7432, 12659, 12661, 13446, 13445 -10005 , 7432, 7433, 7153, 7151, 13445, 13477, 12755, 12659 -10006 , 12671, 12578, 12665, 12668, 13449, 13416, 13447, 13448 -10007 , 12668, 12665, 12661, 12759, 13448, 13447, 13446, 13478 -10008 , 12665, 12571, 12569, 12661, 13447, 13413, 13412, 13446 -10009 , 12674, 12581, 12578, 12671, 13450, 13417, 13416, 13449 -10010 , 12677, 12584, 12581, 12674, 13451, 13418, 13417, 13450 -10011 , 12680, 12587, 12584, 12677, 13452, 13421, 13418, 13451 -10012 , 12683, 12590, 12587, 12680, 13453, 13422, 13421, 13452 -10013 , 12686, 12593, 12590, 12683, 13454, 13423, 13422, 13453 -10014 , 12689, 12597, 12593, 12686, 13455, 13424, 13423, 13454 -10015 , 12692, 12602, 12597, 12689, 13456, 13425, 13424, 13455 -10016 , 12695, 12605, 12602, 12692, 13457, 13426, 13425, 13456 -10017 , 12698, 12608, 12605, 12695, 13458, 13427, 13426, 13457 -10018 , 12701, 12611, 12608, 12698, 13459, 13428, 13427, 13458 -10019 , 12704, 12614, 12611, 12701, 13460, 13429, 13428, 13459 -10020 , 12707, 12617, 12614, 12704, 13461, 13430, 13429, 13460 -10021 , 12710, 12620, 12617, 12707, 13462, 13431, 13430, 13461 -10022 , 12713, 12623, 12620, 12710, 13463, 13432, 13431, 13462 -10023 , 12716, 12626, 12623, 12713, 13465, 13433, 13432, 13463 -10024 , 7429, 7434, 7137, 7134, 13464, 13814, 12651, 12566 -10025 , 12719, 12629, 12626, 12716, 13466, 13434, 13433, 13465 -10026 , 12722, 12632, 12629, 12719, 13467, 13435, 13434, 13466 -10027 , 12725, 12635, 12632, 12722, 13468, 13436, 13435, 13467 -10028 , 12729, 12638, 12635, 12725, 13469, 13438, 13436, 13468 -10029 , 12732, 12641, 12638, 12729, 13470, 13440, 13438, 13469 -10030 , 12735, 12646, 12641, 12732, 13472, 13441, 13440, 13470 -10031 , 12740, 12649, 12646, 12735, 13474, 13471, 13441, 13472 -10032 , 12743, 12738, 12649, 12740, 13475, 13473, 13471, 13474 -10033 , 12738, 12652, 12644, 12649, 13473, 13443, 13442, 13471 -10034 , 12834, 12745, 12738, 12743, 13506, 13476, 13473, 13475 -10035 , 12745, 12655, 12652, 12738, 13476, 13444, 13443, 13473 -10036 , 7161, 7164, 7435, 7148, 12749, 12842, 12834, 12745 -10037 , 7148, 7435, 7436, 7431, 12745, 12834, 13506, 13476 -10038 , 7153, 7437, 7169, 7167, 12755, 12848, 12844, 12753 -10039 , 7433, 7438, 7437, 7153, 13477, 13509, 12848, 12755 -10040 , 12765, 12668, 12759, 12762, 13480, 13448, 13478, 13479 -10041 , 12762, 12759, 12755, 12848, 13479, 13478, 13477, 13509 -10042 , 12759, 12661, 12659, 12755, 13478, 13446, 13445, 13477 -10043 , 12768, 12671, 12668, 12765, 13481, 13449, 13448, 13480 -10044 , 12771, 12674, 12671, 12768, 13482, 13450, 13449, 13481 -10045 , 12774, 12677, 12674, 12771, 13483, 13451, 13450, 13482 -10046 , 12777, 12680, 12677, 12774, 13484, 13452, 13451, 13483 -10047 , 12780, 12683, 12680, 12777, 13485, 13453, 13452, 13484 -10048 , 12782, 12686, 12683, 12780, 13487, 13454, 13453, 13485 -10049 , 7439, 7174, 7130, 7140, 13486, 13507, 12572, 12570 -10050 , 7140, 7143, 7440, 7439, 12570, 12662, 13895, 13486 -10051 , 12784, 12689, 12686, 12782, 13488, 13455, 13454, 13487 -10052 , 12786, 12692, 12689, 12784, 13489, 13456, 13455, 13488 -10053 , 12788, 12695, 12692, 12786, 13490, 13457, 13456, 13489 -10054 , 12792, 12698, 12695, 12788, 13491, 13458, 13457, 13490 -10055 , 12795, 12701, 12698, 12792, 13492, 13459, 13458, 13491 -10056 , 12798, 12704, 12701, 12795, 13493, 13460, 13459, 13492 -10057 , 12801, 12707, 12704, 12798, 13494, 13461, 13460, 13493 -10058 , 12804, 12710, 12707, 12801, 13495, 13462, 13461, 13494 -10059 , 12807, 12713, 12710, 12804, 13496, 13463, 13462, 13495 -10060 , 12810, 12716, 12713, 12807, 13497, 13465, 13463, 13496 -10061 , 12813, 12719, 12716, 12810, 13498, 13466, 13465, 13497 -10062 , 12816, 12722, 12719, 12813, 13499, 13467, 13466, 13498 -10063 , 12819, 12725, 12722, 12816, 13500, 13468, 13467, 13499 -10064 , 12822, 12729, 12725, 12819, 13501, 13469, 13468, 13500 -10065 , 12825, 12732, 12729, 12822, 13502, 13470, 13469, 13501 -10066 , 12828, 12735, 12732, 12825, 13503, 13472, 13470, 13502 -10067 , 12831, 12740, 12735, 12828, 13504, 13474, 13472, 13503 -10068 , 12836, 12743, 12740, 12831, 13505, 13475, 13474, 13504 -10069 , 12838, 12834, 12743, 12836, 13535, 13506, 13475, 13505 -10070 , 7435, 7164, 7441, 7436, 12834, 12842, 13508, 13506 -10071 , 7164, 7176, 7442, 7441, 12842, 12919, 13538, 13508 -10072 , 7437, 7191, 7178, 7169, 12848, 12851, 12925, 12844 -10073 , 7438, 7443, 7191, 7437, 13509, 13539, 12851, 12848 -10074 , 12857, 12765, 12762, 12853, 13511, 13480, 13479, 13510 -10075 , 12853, 12762, 12848, 12851, 13510, 13479, 13509, 13539 -10076 , 12860, 12768, 12765, 12857, 13512, 13481, 13480, 13511 -10077 , 12863, 12771, 12768, 12860, 13513, 13482, 13481, 13512 -10078 , 12866, 12774, 12771, 12863, 13514, 13483, 13482, 13513 -10079 , 12869, 12777, 12774, 12866, 13515, 13484, 13483, 13514 -10080 , 12871, 12780, 12777, 12869, 13516, 13485, 13484, 13515 -10081 , 12872, 12782, 12780, 12871, 13517, 13487, 13485, 13516 -10082 , 12873, 12784, 12782, 12872, 13518, 13488, 13487, 13517 -10083 , 10672, 12786, 12784, 12873, 13519, 13489, 13488, 13518 -10084 , 10675, 12788, 12786, 10672, 10706, 13490, 13489, 13519 -10085 , 10678, 12792, 12788, 10675, 10707, 13491, 13490, 10706 -10086 , 10681, 12795, 12792, 10678, 13520, 13492, 13491, 10707 -10087 , 12875, 12798, 12795, 10681, 13521, 13493, 13492, 13520 -10088 , 12877, 12801, 12798, 12875, 13522, 13494, 13493, 13521 -10089 , 12880, 12804, 12801, 12877, 13523, 13495, 13494, 13522 -10090 , 12883, 12807, 12804, 12880, 13524, 13496, 13495, 13523 -10091 , 12886, 12810, 12807, 12883, 13527, 13497, 13496, 13524 -10092 , 13525, 12899, 12489, 12576, 13526, 13547, 12582, 12579 -10093 , 13525, 13526, 12579, 12576, 13507, 13908, 12666, 12572 -10094 , 12855, 13525, 12576, 12478, 12790, 13507, 12572, 12476 -10095 , 12889, 12813, 12810, 12886, 13528, 13498, 13497, 13527 -10096 , 12892, 12816, 12813, 12889, 13529, 13499, 13498, 13528 -10097 , 12895, 12819, 12816, 12892, 13530, 13500, 13499, 13529 -10098 , 12902, 12822, 12819, 12895, 13531, 13501, 13500, 13530 -10099 , 12905, 12825, 12822, 12902, 13532, 13502, 13501, 13531 -10100 , 12908, 12828, 12825, 12905, 13533, 13503, 13502, 13532 -10101 , 12911, 12831, 12828, 12908, 13534, 13504, 13503, 13533 -10102 , 12914, 12836, 12831, 12911, 13536, 13505, 13504, 13534 -10103 , 12916, 12838, 12836, 12914, 13537, 13535, 13505, 13536 -10104 , 13537, 12916, 12838, 13535, 13558, 12981, 12919, 13538 -10105 , 13535, 12838, 12834, 13506, 13538, 12919, 12842, 13508 -10106 , 7176, 7186, 7444, 7442, 12919, 12981, 13558, 13538 -10107 , 7443, 7445, 7193, 7191, 13539, 13561, 12992, 12851 -10108 , 12933, 12857, 12853, 12930, 13541, 13511, 13510, 13540 -10109 , 12853, 12930, 13540, 13510, 12851, 12992, 13561, 13539 -10110 , 12937, 12860, 12857, 12933, 13542, 13512, 13511, 13541 -10111 , 12940, 12863, 12860, 12937, 13543, 13513, 13512, 13542 -10112 , 12943, 12866, 12863, 12940, 13544, 13514, 13513, 13543 -10113 , 12946, 12869, 12866, 12943, 13545, 13515, 13514, 13544 -10114 , 12947, 12871, 12869, 12946, 13546, 13516, 13515, 13545 -10115 , 10687, 12872, 12871, 12947, 13548, 13517, 13516, 13546 -10116 , 12899, 12949, 12494, 12489, 13547, 13559, 12585, 12582 -10117 , 10688, 12873, 12872, 10687, 10708, 13518, 13517, 13548 -10118 , 12873, 10672, 10102, 10688, 10665, 10666, 10667, 10668 -10119 , 10102, 10672, 12873, 10688, 10107, 13519, 13518, 10708 -10120 , 10681, 12875, 10449, 10113, 10677, 10680, 10447, 10443 -10121 , 10449, 12875, 10681, 10113, 10146, 13521, 13520, 10115 -10122 , 10513, 12877, 12875, 10449, 10709, 13522, 13521, 10146 -10123 , 10697, 12880, 12877, 10513, 10710, 13523, 13522, 10709 -10124 , 10701, 12883, 12880, 10697, 10714, 13524, 13523, 10710 -10125 , 10711, 12886, 12883, 10701, 10719, 13527, 13524, 10714 -10126 , 12955, 12889, 12886, 10711, 13549, 13528, 13527, 10719 -10127 , 12958, 12892, 12889, 12955, 13550, 13529, 13528, 13549 -10128 , 12961, 12895, 12892, 12958, 13551, 13530, 13529, 13550 -10129 , 12964, 12902, 12895, 12961, 13552, 13531, 13530, 13551 -10130 , 12967, 12905, 12902, 12964, 13553, 13532, 13531, 13552 -10131 , 12970, 12908, 12905, 12967, 13554, 13533, 13532, 13553 -10132 , 12973, 12911, 12908, 12970, 13555, 13534, 13533, 13554 -10133 , 12976, 12914, 12911, 12973, 13556, 13536, 13534, 13555 -10134 , 12979, 12916, 12914, 12976, 13557, 13537, 13536, 13556 -10135 , 13557, 12979, 12916, 13537, 13579, 13043, 12981, 13558 -10136 , 12949, 12989, 12497, 12494, 13559, 13569, 12588, 12585 -10137 , 7195, 7197, 7446, 7186, 12984, 13051, 13043, 12981 -10138 , 7186, 7446, 7447, 7444, 12981, 13043, 13579, 13558 -10139 , 7199, 7193, 7445, 7448, 12987, 12992, 13561, 13560 -10140 , 7448, 7449, 7200, 7199, 13560, 13581, 13053, 12987 -10141 , 13000, 12933, 12930, 12996, 13563, 13541, 13540, 13562 -10142 , 12996, 12930, 12992, 13057, 13562, 13540, 13561, 13582 -10143 , 13003, 12937, 12933, 13000, 13564, 13542, 13541, 13563 -10144 , 13006, 12940, 12937, 13003, 13565, 13543, 13542, 13564 -10145 , 13009, 12943, 12940, 13006, 13566, 13544, 13543, 13565 -10146 , 13012, 12946, 12943, 13009, 13567, 13545, 13544, 13566 -10147 , 13013, 12947, 12946, 13012, 13568, 13546, 13545, 13567 -10148 , 10686, 10687, 12947, 13013, 10715, 13548, 13546, 13568 -10149 , 12989, 13019, 12500, 12497, 13569, 13589, 12591, 12588 -10150 , 13016, 12955, 10711, 10712, 13570, 13549, 10719, 10716 -10151 , 13022, 12958, 12955, 13016, 13571, 13550, 13549, 13570 -10152 , 13025, 12961, 12958, 13022, 13572, 13551, 13550, 13571 -10153 , 13028, 12964, 12961, 13025, 13573, 13552, 13551, 13572 -10154 , 13031, 12967, 12964, 13028, 13574, 13553, 13552, 13573 -10155 , 13034, 12970, 12967, 13031, 13575, 13554, 13553, 13574 -10156 , 13037, 12973, 12970, 13034, 13576, 13555, 13554, 13575 -10157 , 13040, 12976, 12973, 13037, 13577, 13556, 13555, 13576 -10158 , 13045, 12979, 12976, 13040, 13578, 13557, 13556, 13577 -10159 , 13047, 13043, 12979, 13045, 13601, 13579, 13557, 13578 -10160 , 7446, 7197, 7450, 7447, 13043, 13051, 13580, 13579 -10161 , 7197, 7204, 7451, 7450, 13051, 13112, 13604, 13580 -10162 , 7449, 7452, 7206, 7200, 13581, 13605, 13118, 13053 -10163 , 13062, 12996, 13057, 13059, 13584, 13562, 13582, 13583 -10164 , 13057, 12992, 12987, 13053, 13582, 13561, 13560, 13581 -10165 , 13059, 13057, 13053, 13118, 13583, 13582, 13581, 13605 -10166 , 13065, 13000, 12996, 13062, 13585, 13563, 13562, 13584 -10167 , 13068, 13003, 13000, 13065, 13586, 13564, 13563, 13585 -10168 , 13071, 13006, 13003, 13068, 13587, 13565, 13564, 13586 -10169 , 13074, 13009, 13006, 13071, 13588, 13566, 13565, 13587 -10170 , 13077, 13012, 13009, 13074, 13590, 13567, 13566, 13588 -10171 , 13019, 13080, 12503, 12500, 13589, 13599, 12594, 12591 -10172 , 13078, 13013, 13012, 13077, 13591, 13568, 13567, 13590 -10173 , 10090, 10686, 13013, 13078, 10129, 10715, 13568, 13591 -10174 , 13084, 13016, 10712, 10618, 13592, 13570, 10716, 10718 -10175 , 13086, 13022, 13016, 13084, 13593, 13571, 13570, 13592 -10176 , 13089, 13025, 13022, 13086, 13594, 13572, 13571, 13593 -10177 , 13092, 13028, 13025, 13089, 13595, 13573, 13572, 13594 -10178 , 13095, 13031, 13028, 13092, 13596, 13574, 13573, 13595 -10179 , 13098, 13034, 13031, 13095, 13597, 13575, 13574, 13596 -10180 , 13101, 13037, 13034, 13098, 13598, 13576, 13575, 13597 -10181 , 13104, 13040, 13037, 13101, 13600, 13577, 13576, 13598 -10182 , 13080, 13114, 12506, 12503, 13599, 13614, 12598, 12594 -10183 , 13107, 13045, 13040, 13104, 13602, 13578, 13577, 13600 -10184 , 13109, 13047, 13045, 13107, 13603, 13601, 13578, 13602 -10185 , 13174, 13112, 13047, 13109, 13625, 13604, 13601, 13603 -10186 , 13112, 13051, 13043, 13047, 13604, 13580, 13579, 13601 -10187 , 7204, 7210, 7453, 7451, 13112, 13174, 13625, 13604 -10188 , 7452, 7454, 7215, 7206, 13605, 13583, 13059, 13118 -10189 , 7454, 7455, 7217, 7215, 13583, 13626, 13178, 13059 -10190 , 13062, 13065, 13585, 13584, 13123, 13126, 13607, 13606 -10191 , 13059, 13062, 13584, 13583, 13178, 13123, 13606, 13626 -10192 , 13129, 13068, 13065, 13126, 13608, 13586, 13585, 13607 -10193 , 13132, 13071, 13068, 13129, 13609, 13587, 13586, 13608 -10194 , 13135, 13074, 13071, 13132, 13610, 13588, 13587, 13609 -10195 , 13138, 13077, 13074, 13135, 13611, 13590, 13588, 13610 -10196 , 13140, 13078, 13077, 13138, 13612, 13591, 13590, 13611 -10197 , 10128, 10090, 13078, 13140, 10134, 10129, 13591, 13612 -10198 , 7427, 7456, 7068, 7065, 13613, 13683, 12291, 12288 -10199 , 13114, 13142, 12509, 12506, 13614, 13629, 12603, 12598 -10200 , 13146, 13084, 10618, 10601, 13615, 13592, 10718, 10624 -10201 , 13148, 13086, 13084, 13146, 13616, 13593, 13592, 13615 -10202 , 13151, 13089, 13086, 13148, 13617, 13594, 13593, 13616 -10203 , 13154, 13092, 13089, 13151, 13618, 13595, 13594, 13617 -10204 , 13157, 13095, 13092, 13154, 13619, 13596, 13595, 13618 -10205 , 13160, 13098, 13095, 13157, 13620, 13597, 13596, 13619 -10206 , 13163, 13101, 13098, 13160, 13621, 13598, 13597, 13620 -10207 , 13166, 13104, 13101, 13163, 13622, 13600, 13598, 13621 -10208 , 13169, 13107, 13104, 13166, 13623, 13602, 13600, 13622 -10209 , 13171, 13109, 13107, 13169, 13624, 13603, 13602, 13623 -10210 , 13232, 13174, 13109, 13171, 13644, 13625, 13603, 13624 -10211 , 7210, 7219, 7457, 7453, 13174, 13232, 13644, 13625 -10212 , 7458, 7242, 7222, 7217, 13123, 13183, 13234, 13178 -10213 , 7455, 7459, 7458, 7217, 13626, 13606, 13123, 13178 -10214 , 7460, 7245, 7242, 7458, 13126, 13186, 13183, 13123 -10215 , 7459, 7461, 7460, 7458, 13606, 13607, 13126, 13123 -10216 , 7461, 7462, 7245, 7460, 13607, 13645, 13186, 13126 -10217 , 13129, 13132, 13609, 13608, 13188, 13191, 13628, 13627 -10218 , 13188, 13129, 13126, 13186, 13627, 13608, 13607, 13645 -10219 , 13132, 13135, 13610, 13609, 13191, 13194, 13630, 13628 -10220 , 13142, 13200, 12512, 12509, 13629, 13639, 12606, 12603 -10221 , 13197, 13138, 13135, 13194, 13631, 13611, 13610, 13630 -10222 , 13202, 13140, 13138, 13197, 13632, 13612, 13611, 13631 -10223 , 10137, 10128, 13140, 13202, 10180, 10134, 13612, 13632 -10224 , 10137, 13203, 10135, 10128, 10136, 10100, 10096, 10097 -10225 , 13205, 13146, 10601, 10603, 13633, 13615, 10624, 10625 -10226 , 13206, 13148, 13146, 13205, 13634, 13616, 13615, 13633 -10227 , 13208, 13151, 13148, 13206, 13635, 13617, 13616, 13634 -10228 , 13210, 13154, 13151, 13208, 13636, 13618, 13617, 13635 -10229 , 13212, 13157, 13154, 13210, 13637, 13619, 13618, 13636 -10230 , 13215, 13160, 13157, 13212, 13638, 13620, 13619, 13637 -10231 , 13218, 13163, 13160, 13215, 13640, 13621, 13620, 13638 -10232 , 13200, 13224, 12515, 12512, 13639, 13648, 12609, 12606 -10233 , 13221, 13166, 13163, 13218, 13641, 13622, 13621, 13640 -10234 , 13227, 13169, 13166, 13221, 13642, 13623, 13622, 13641 -10235 , 13229, 13171, 13169, 13227, 13643, 13624, 13623, 13642 -10236 , 13268, 13232, 13171, 13229, 13657, 13644, 13624, 13643 -10237 , 7219, 7240, 7463, 7457, 13232, 13268, 13657, 13644 -10238 , 7462, 7464, 7248, 7245, 13645, 13627, 13188, 13186 -10239 , 7464, 7465, 7254, 7248, 13627, 13628, 13191, 13188 -10240 , 7466, 7274, 7256, 7254, 13194, 13241, 13271, 13191 -10241 , 7465, 7467, 7466, 7254, 13628, 13630, 13194, 13191 -10242 , 7467, 7468, 7274, 7466, 13630, 13659, 13241, 13194 -10243 , 13197, 13202, 13632, 13631, 13243, 13245, 13647, 13646 -10244 , 13243, 13197, 13194, 13241, 13646, 13631, 13630, 13659 -10245 , 13202, 10137, 10180, 13632, 13245, 13273, 13660, 13647 -10246 , 7257, 7260, 7469, 7258, 10137, 13273, 10249, 10136 -10247 , 13224, 13250, 12518, 12515, 13648, 13661, 12612, 12609 -10248 , 11295, 10603, 10602, 10621, 13649, 10625, 10604, 10622 -10249 , 10602, 10603, 11295, 10621, 10599, 10600, 11291, 11018 -10250 , 11294, 13205, 10603, 11295, 13650, 13633, 10625, 13649 -10251 , 11302, 13206, 13205, 11294, 11453, 13634, 13633, 13650 -10252 , 11308, 13208, 13206, 11302, 11455, 13635, 13634, 11453 -10253 , 11313, 13210, 13208, 11308, 13651, 13636, 13635, 11455 -10254 , 13253, 13212, 13210, 11313, 13652, 13637, 13636, 13651 -10255 , 13255, 13215, 13212, 13253, 13653, 13638, 13637, 13652 -10256 , 13257, 13218, 13215, 13255, 13654, 13640, 13638, 13653 -10257 , 13260, 13221, 13218, 13257, 13655, 13641, 13640, 13654 -10258 , 13263, 13227, 13221, 13260, 13656, 13642, 13641, 13655 -10259 , 13265, 13229, 13227, 13263, 13658, 13643, 13642, 13656 -10260 , 13292, 13268, 13229, 13265, 13668, 13657, 13643, 13658 -10261 , 7240, 7271, 7472, 7463, 13268, 13292, 13668, 13657 -10262 , 7468, 7473, 7277, 7274, 13659, 13646, 13243, 13241 -10263 , 7473, 7474, 7280, 7277, 13646, 13647, 13245, 13243 -10264 , 7474, 7475, 7260, 7280, 13647, 13660, 13273, 13245 -10265 , 7475, 7476, 7469, 7260, 13660, 10189, 10249, 13273 -10266 , 13250, 13276, 12521, 12518, 13661, 13667, 12615, 12612 -10267 , 7476, 7477, 7470, 7469, 10189, 10188, 10142, 10249 -10268 , 7477, 7478, 7471, 7470, 10188, 10190, 10143, 10142 -10269 , 11296, 11295, 10621, 11318, 11460, 13649, 10622, 11458 -10270 , 10621, 11318, 11458, 10622, 10497, 10501, 10514, 10503 -10271 , 11298, 11294, 11295, 11296, 11461, 13650, 13649, 11460 -10272 , 11313, 13253, 11333, 11312, 11304, 11310, 11311, 11305 -10273 , 11333, 13253, 11313, 11312, 13662, 13652, 13651, 11464 -10274 , 13279, 13255, 13253, 11333, 13663, 13653, 13652, 13662 -10275 , 13281, 13257, 13255, 13279, 13664, 13654, 13653, 13663 -10276 , 13283, 13260, 13257, 13281, 13665, 13655, 13654, 13664 -10277 , 13287, 13263, 13260, 13283, 13666, 13656, 13655, 13665 -10278 , 13666, 13287, 13263, 13656, 13673, 13293, 13265, 13658 -10279 , 7271, 7294, 7303, 7483, 13292, 13304, 13293, 13265 -10280 , 7484, 7472, 7271, 7483, 13658, 13668, 13292, 13265 -10281 , 7483, 7303, 7485, 7484, 13265, 13293, 13673, 13658 -10282 , 13276, 13295, 12527, 12521, 13667, 13674, 12618, 12615 -10283 , 11333, 13279, 11360, 11339, 11311, 11336, 11337, 11332 -10284 , 11360, 13279, 11333, 11339, 13669, 13663, 13662, 11472 -10285 , 13298, 13281, 13279, 11360, 13670, 13664, 13663, 13669 -10286 , 13300, 13283, 13281, 13298, 13671, 13665, 13664, 13670 -10287 , 13301, 13287, 13283, 13300, 13672, 13666, 13665, 13671 -10288 , 13672, 13301, 13287, 13666, 13675, 13310, 13293, 13673 -10289 , 7303, 7307, 7488, 7485, 13293, 13310, 13675, 13673 -10290 , 13295, 13307, 12530, 12527, 13674, 13677, 12621, 12618 -10291 , 11360, 13298, 11389, 11366, 11337, 11363, 11364, 11359 -10292 , 11389, 13298, 11360, 11366, 11488, 13670, 13669, 11482 -10293 , 11485, 13300, 13298, 11389, 11548, 13671, 13670, 11488 -10294 , 13300, 13301, 13672, 13671, 11485, 13311, 13676, 11548 -10295 , 13317, 13310, 13301, 13311, 13678, 13675, 13672, 13676 -10296 , 7307, 7315, 7493, 7488, 13310, 13317, 13678, 13675 -10297 , 13307, 13315, 12533, 12530, 13677, 13679, 12624, 12621 -10298 , 7322, 7326, 7339, 7497, 13311, 13320, 11486, 11485 -10299 , 7498, 7499, 7322, 7497, 11548, 13676, 13311, 11485 -10300 , 7499, 7493, 7315, 7322, 13676, 13678, 13317, 13311 -10301 , 13315, 13319, 12536, 12533, 13679, 13680, 12627, 12624 -10302 , 13319, 13322, 12539, 12536, 13680, 13684, 12630, 12627 -10303 , 7388, 7517, 7390, 7389, 13325, 13342, 13340, 13324 -10304 , 7391, 7393, 7517, 7388, 13326, 13343, 13342, 13325 -10305 , 7394, 7518, 7396, 7395, 13328, 13350, 13348, 13327 -10306 , 7397, 7519, 7518, 7394, 13329, 13349, 13350, 13328 -10307 , 7398, 7520, 7519, 7397, 13330, 13352, 13349, 13329 -10308 , 7399, 7521, 7520, 7398, 13331, 13354, 13352, 13330 -10309 , 7399, 7400, 7522, 7523, 13331, 13332, 13682, 13681 -10310 , 7523, 7524, 7521, 7399, 13681, 13694, 13354, 13331 -10311 , 7400, 7401, 7525, 7522, 13332, 13333, 13685, 13682 -10312 , 7456, 7526, 7071, 7068, 13683, 13897, 12298, 12291 -10313 , 13322, 13323, 12542, 12539, 13684, 13698, 12633, 12630 -10314 , 7402, 7527, 7528, 7401, 13334, 13360, 13358, 13333 -10315 , 7401, 7528, 7529, 7525, 13333, 13358, 13697, 13685 -10316 , 7403, 7530, 7527, 7402, 13335, 13362, 13360, 13334 -10317 , 7404, 7531, 7530, 7403, 13336, 13364, 13362, 13335 -10318 , 7405, 7532, 7531, 7404, 13337, 13366, 13364, 13336 -10319 , 7405, 7406, 7533, 7534, 13337, 13339, 13687, 13686 -10320 , 7534, 7535, 7532, 7405, 13686, 13702, 13366, 13337 -10321 , 7406, 7390, 7536, 7533, 13339, 13340, 13688, 13687 -10322 , 7390, 7517, 7537, 7536, 13340, 13342, 13689, 13688 -10323 , 7393, 7538, 7539, 7517, 13343, 13374, 13341, 13342 -10324 , 7517, 7539, 7540, 7537, 13342, 13341, 13707, 13689 -10325 , 7407, 7541, 7538, 7393, 13344, 13376, 13374, 13343 -10326 , 7408, 7410, 7541, 7407, 13345, 13379, 13376, 13344 -10327 , 7412, 7542, 7414, 7413, 13347, 13386, 13384, 13346 -10328 , 7396, 7543, 7542, 7412, 13348, 13385, 13386, 13347 -10329 , 7396, 7518, 7544, 7545, 13348, 13350, 13691, 13690 -10330 , 7545, 7546, 7543, 7396, 13690, 13714, 13385, 13348 -10331 , 7518, 7519, 7547, 7544, 13350, 13349, 13692, 13691 -10332 , 7519, 7520, 7548, 7547, 13349, 13352, 13693, 13692 -10333 , 7520, 7521, 7524, 7548, 13352, 13354, 13694, 13693 -10334 , 13359, 13356, 13354, 13357, 13695, 13696, 13694, 13720 -10335 , 13361, 13358, 13356, 13359, 13724, 13697, 13696, 13695 -10336 , 13356, 13332, 13331, 13354, 13696, 13682, 13681, 13694 -10337 , 13358, 13333, 13332, 13356, 13697, 13685, 13682, 13696 -10338 , 7528, 7527, 7549, 7529, 13358, 13360, 13699, 13697 -10339 , 13323, 13338, 12545, 12542, 13698, 13722, 12636, 12633 -10340 , 7527, 7530, 7550, 7549, 13360, 13362, 13700, 13699 -10341 , 7530, 7531, 7551, 7550, 13362, 13364, 13701, 13700 -10342 , 7531, 7532, 7535, 7551, 13364, 13366, 13702, 13701 -10343 , 13373, 13371, 13369, 13372, 13706, 13703, 13704, 13705 -10344 , 13371, 13340, 13339, 13369, 13703, 13688, 13687, 13704 -10345 , 13372, 13369, 13366, 13370, 13705, 13704, 13702, 13732 -10346 , 13369, 13339, 13337, 13366, 13704, 13687, 13686, 13702 -10347 , 13375, 13341, 13371, 13373, 13736, 13707, 13703, 13706 -10348 , 13341, 13342, 13340, 13371, 13707, 13689, 13688, 13703 -10349 , 13374, 7538, 7539, 13341, 13708, 8561, 7540, 13707 -10350 , 13376, 7541, 7538, 13374, 13709, 8562, 8561, 13708 -10351 , 13379, 7410, 7541, 13376, 13710, 8563, 8562, 13709 -10352 , 7415, 7552, 7553, 7410, 13380, 13407, 13405, 13379 -10353 , 13405, 7553, 7410, 13379, 13743, 8564, 8563, 13710 -10354 , 7416, 7418, 7552, 7415, 13381, 13410, 13407, 13380 -10355 , 7419, 7554, 7421, 7420, 13383, 13415, 13413, 13382 -10356 , 7419, 7414, 7555, 7556, 13383, 13384, 13712, 13711 -10357 , 7556, 7557, 7554, 7419, 13711, 13747, 13415, 13383 -10358 , 7414, 7542, 7558, 7555, 13384, 13386, 13713, 13712 -10359 , 7542, 7543, 7546, 7558, 13386, 13385, 13714, 13713 -10360 , 13390, 13353, 13351, 13389, 13719, 13715, 13716, 13717 -10361 , 13353, 13349, 13350, 13351, 13715, 13692, 13691, 13716 -10362 , 13389, 13351, 13385, 13388, 13717, 13716, 13714, 13752 -10363 , 13351, 13350, 13348, 13385, 13716, 13691, 13690, 13714 -10364 , 13391, 13355, 13353, 13390, 13721, 13718, 13715, 13719 -10365 , 13718, 13355, 13353, 13715, 13693, 13352, 13349, 13692 -10366 , 13392, 13357, 13355, 13391, 13723, 13720, 13718, 13721 -10367 , 13720, 13357, 13355, 13718, 13694, 13354, 13352, 13693 -10368 , 13338, 13368, 12550, 12545, 13722, 13751, 12639, 12636 -10369 , 13393, 13359, 13357, 13392, 13725, 13695, 13720, 13723 -10370 , 13396, 13361, 13359, 13393, 13727, 13724, 13695, 13725 -10371 , 13397, 13363, 13361, 13396, 13729, 13726, 13724, 13727 -10372 , 13726, 13363, 13361, 13724, 13699, 13360, 13358, 13697 -10373 , 13398, 13365, 13363, 13397, 13731, 13728, 13726, 13729 -10374 , 13728, 13365, 13363, 13726, 13700, 13362, 13360, 13699 -10375 , 13399, 13367, 13365, 13398, 13733, 13730, 13728, 13731 -10376 , 13730, 13367, 13365, 13728, 13701, 13364, 13362, 13700 -10377 , 13400, 13370, 13367, 13399, 13734, 13732, 13730, 13733 -10378 , 13732, 13370, 13367, 13730, 13702, 13366, 13364, 13701 -10379 , 13401, 13372, 13370, 13400, 13735, 13705, 13732, 13734 -10380 , 13402, 13373, 13372, 13401, 13737, 13706, 13705, 13735 -10381 , 13403, 13375, 13373, 13402, 13739, 13736, 13706, 13737 -10382 , 13404, 13377, 13375, 13403, 13741, 13738, 13736, 13739 -10383 , 13738, 13377, 13375, 13736, 13708, 13374, 13341, 13707 -10384 , 13406, 13378, 13377, 13404, 13742, 13740, 13738, 13741 -10385 , 13740, 13378, 13377, 13738, 13709, 13376, 13374, 13708 -10386 , 13408, 13405, 13378, 13406, 13769, 13743, 13740, 13742 -10387 , 13740, 13378, 13376, 13709, 13743, 13405, 13379, 13710 -10388 , 13407, 7552, 7553, 13405, 13744, 8565, 8564, 13743 -10389 , 13410, 7418, 7552, 13407, 13745, 8566, 8565, 13744 -10390 , 7422, 7424, 7559, 7418, 13411, 13442, 13439, 13410 -10391 , 13439, 7559, 7418, 13410, 13774, 8567, 8566, 13745 -10392 , 7421, 7560, 7426, 7425, 13413, 13447, 13446, 13412 -10393 , 7421, 7554, 7557, 7561, 13413, 13415, 13747, 13746 -10394 , 7561, 7562, 7560, 7421, 13746, 13777, 13447, 13413 -10395 , 13418, 13387, 13414, 13417, 13753, 13748, 13749, 13750 -10396 , 13748, 13387, 13414, 13749, 13713, 13386, 13384, 13712 -10397 , 13417, 13414, 13415, 13416, 13750, 13749, 13747, 13778 -10398 , 13414, 13384, 13383, 13415, 13749, 13712, 13711, 13747 -10399 , 13368, 13395, 12556, 12550, 13751, 13775, 12642, 12639 -10400 , 13421, 13388, 13387, 13418, 13754, 13752, 13748, 13753 -10401 , 13752, 13388, 13387, 13748, 13714, 13385, 13386, 13713 -10402 , 13422, 13389, 13388, 13421, 13755, 13717, 13752, 13754 -10403 , 13423, 13390, 13389, 13422, 13756, 13719, 13717, 13755 -10404 , 13424, 13391, 13390, 13423, 13757, 13721, 13719, 13756 -10405 , 13425, 13392, 13391, 13424, 13758, 13723, 13721, 13757 -10406 , 13426, 13393, 13392, 13425, 13759, 13725, 13723, 13758 -10407 , 13427, 13396, 13393, 13426, 13760, 13727, 13725, 13759 -10408 , 13428, 13397, 13396, 13427, 13761, 13729, 13727, 13760 -10409 , 13429, 13398, 13397, 13428, 13762, 13731, 13729, 13761 -10410 , 13430, 13399, 13398, 13429, 13763, 13733, 13731, 13762 -10411 , 13431, 13400, 13399, 13430, 13764, 13734, 13733, 13763 -10412 , 13432, 13401, 13400, 13431, 13765, 13735, 13734, 13764 -10413 , 13433, 13402, 13401, 13432, 13766, 13737, 13735, 13765 -10414 , 13434, 13403, 13402, 13433, 13767, 13739, 13737, 13766 -10415 , 13435, 13404, 13403, 13434, 13768, 13741, 13739, 13767 -10416 , 13436, 13406, 13404, 13435, 13770, 13742, 13741, 13768 -10417 , 13438, 13408, 13406, 13436, 13772, 13769, 13742, 13770 -10418 , 13440, 13409, 13408, 13438, 13773, 13771, 13769, 13772 -10419 , 13771, 13409, 13408, 13769, 13744, 13407, 13405, 13743 -10420 , 13441, 13439, 13409, 13440, 13801, 13774, 13771, 13773 -10421 , 13771, 13409, 13407, 13744, 13774, 13439, 13410, 13745 -10422 , 13442, 7424, 7559, 13439, 13776, 8568, 8567, 13774 -10423 , 13395, 13419, 12559, 12556, 13775, 13794, 12647, 12642 -10424 , 7428, 7563, 7564, 7424, 13443, 13473, 13471, 13442 -10425 , 13471, 7564, 7424, 13442, 13804, 8569, 8568, 13776 -10426 , 7430, 7431, 7563, 7428, 13444, 13476, 13473, 13443 -10427 , 7426, 7565, 7433, 7432, 13446, 13478, 13477, 13445 -10428 , 7560, 7566, 7565, 7426, 13447, 13448, 13478, 13446 -10429 , 7562, 7567, 7566, 7560, 13777, 13806, 13448, 13447 -10430 , 13450, 13417, 13416, 13449, 13780, 13750, 13778, 13779 -10431 , 13449, 13416, 13447, 13448, 13779, 13778, 13777, 13806 -10432 , 13416, 13415, 13413, 13447, 13778, 13747, 13746, 13777 -10433 , 13451, 13418, 13417, 13450, 13781, 13753, 13750, 13780 -10434 , 13452, 13421, 13418, 13451, 13782, 13754, 13753, 13781 -10435 , 13453, 13422, 13421, 13452, 13783, 13755, 13754, 13782 -10436 , 13454, 13423, 13422, 13453, 13784, 13756, 13755, 13783 -10437 , 13455, 13424, 13423, 13454, 13785, 13757, 13756, 13784 -10438 , 13456, 13425, 13424, 13455, 13786, 13758, 13757, 13785 -10439 , 13457, 13426, 13425, 13456, 13787, 13759, 13758, 13786 -10440 , 13458, 13427, 13426, 13457, 13788, 13760, 13759, 13787 -10441 , 13459, 13428, 13427, 13458, 13789, 13761, 13760, 13788 -10442 , 13460, 13429, 13428, 13459, 13790, 13762, 13761, 13789 -10443 , 13461, 13430, 13429, 13460, 13791, 13763, 13762, 13790 -10444 , 13462, 13431, 13430, 13461, 13792, 13764, 13763, 13791 -10445 , 13463, 13432, 13431, 13462, 13795, 13765, 13764, 13792 -10446 , 13419, 13793, 12645, 12559, 13794, 13813, 12650, 12647 -10447 , 13465, 13433, 13432, 13463, 13796, 13766, 13765, 13795 -10448 , 13466, 13434, 13433, 13465, 13797, 13767, 13766, 13796 -10449 , 13467, 13435, 13434, 13466, 13798, 13768, 13767, 13797 -10450 , 13468, 13436, 13435, 13467, 13799, 13770, 13768, 13798 -10451 , 13469, 13438, 13436, 13468, 13800, 13772, 13770, 13799 -10452 , 13470, 13440, 13438, 13469, 13802, 13773, 13772, 13800 -10453 , 13472, 13441, 13440, 13470, 13803, 13801, 13773, 13802 -10454 , 13474, 13471, 13441, 13472, 13830, 13804, 13801, 13803 -10455 , 13801, 13441, 13439, 13774, 13804, 13471, 13442, 13776 -10456 , 13473, 7563, 7564, 13471, 13805, 8570, 8569, 13804 -10457 , 7431, 7436, 7568, 7563, 13476, 13506, 13475, 13473 -10458 , 13475, 7568, 7563, 13473, 13833, 7573, 8570, 13805 -10459 , 7565, 7569, 7438, 7433, 13478, 13479, 13509, 13477 -10460 , 7566, 7570, 7569, 7565, 13448, 13480, 13479, 13478 -10461 , 7567, 7571, 7570, 7566, 13806, 13837, 13480, 13448 -10462 , 13482, 13450, 13449, 13481, 13808, 13780, 13779, 13807 -10463 , 13449, 13481, 13807, 13779, 13448, 13480, 13837, 13806 -10464 , 13483, 13451, 13450, 13482, 13809, 13781, 13780, 13808 -10465 , 13484, 13452, 13451, 13483, 13810, 13782, 13781, 13809 -10466 , 13485, 13453, 13452, 13484, 13811, 13783, 13782, 13810 -10467 , 13487, 13454, 13453, 13485, 13812, 13784, 13783, 13811 -10468 , 13488, 13455, 13454, 13487, 13815, 13785, 13784, 13812 -10469 , 12650, 13813, 13793, 12645, 12739, 14243, 13814, 12651 -10470 , 12645, 13793, 13420, 12561, 12651, 13814, 13464, 12566 -10471 , 13489, 13456, 13455, 13488, 13816, 13786, 13785, 13815 -10472 , 13490, 13457, 13456, 13489, 13817, 13787, 13786, 13816 -10473 , 13491, 13458, 13457, 13490, 13818, 13788, 13787, 13817 -10474 , 13492, 13459, 13458, 13491, 13819, 13789, 13788, 13818 -10475 , 13493, 13460, 13459, 13492, 13820, 13790, 13789, 13819 -10476 , 13494, 13461, 13460, 13493, 13821, 13791, 13790, 13820 -10477 , 13495, 13462, 13461, 13494, 13822, 13792, 13791, 13821 -10478 , 13496, 13463, 13462, 13495, 13823, 13795, 13792, 13822 -10479 , 13497, 13465, 13463, 13496, 13824, 13796, 13795, 13823 -10480 , 13498, 13466, 13465, 13497, 13825, 13797, 13796, 13824 -10481 , 13499, 13467, 13466, 13498, 13826, 13798, 13797, 13825 -10482 , 13500, 13468, 13467, 13499, 13827, 13799, 13798, 13826 -10483 , 13501, 13469, 13468, 13500, 13828, 13800, 13799, 13827 -10484 , 13502, 13470, 13469, 13501, 13829, 13802, 13800, 13828 -10485 , 13503, 13472, 13470, 13502, 13831, 13803, 13802, 13829 -10486 , 13504, 13474, 13472, 13503, 13832, 13830, 13803, 13831 -10487 , 13505, 13475, 13474, 13504, 13861, 13833, 13830, 13832 -10488 , 13830, 13474, 13471, 13804, 13833, 13475, 13473, 13805 -10489 , 7568, 7436, 7572, 7573, 13475, 13506, 13834, 13833 -10490 , 7436, 7441, 7574, 7572, 13506, 13508, 13835, 13834 -10491 , 7441, 7442, 7575, 7574, 13508, 13538, 13866, 13835 -10492 , 7434, 7576, 7146, 7137, 13814, 13855, 12656, 12651 -10493 , 7569, 7577, 7443, 7438, 13479, 13510, 13539, 13509 -10494 , 7569, 7570, 7571, 7578, 13479, 13480, 13837, 13836 -10495 , 7578, 7579, 7577, 7569, 13836, 13868, 13510, 13479 -10496 , 13513, 13482, 13481, 13512, 13839, 13808, 13807, 13838 -10497 , 13512, 13481, 13480, 13511, 13838, 13807, 13837, 13869 -10498 , 13514, 13483, 13482, 13513, 13840, 13809, 13808, 13839 -10499 , 13515, 13484, 13483, 13514, 13841, 13810, 13809, 13840 -10500 , 13516, 13485, 13484, 13515, 13842, 13811, 13810, 13841 -10501 , 13517, 13487, 13485, 13516, 13843, 13812, 13811, 13842 -10502 , 13518, 13488, 13487, 13517, 13844, 13815, 13812, 13843 -10503 , 13519, 13489, 13488, 13518, 13845, 13816, 13815, 13844 -10504 , 10706, 13490, 13489, 13519, 13846, 13817, 13816, 13845 -10505 , 10707, 13491, 13490, 10706, 13847, 13818, 13817, 13846 -10506 , 13520, 13492, 13491, 10707, 13848, 13819, 13818, 13847 -10507 , 13521, 13493, 13492, 13520, 13849, 13820, 13819, 13848 -10508 , 13522, 13494, 13493, 13521, 13850, 13821, 13820, 13849 -10509 , 13523, 13495, 13494, 13522, 13851, 13822, 13821, 13850 -10510 , 13524, 13496, 13495, 13523, 13852, 13823, 13822, 13851 -10511 , 13527, 13497, 13496, 13524, 13853, 13824, 13823, 13852 -10512 , 13528, 13498, 13497, 13527, 13854, 13825, 13824, 13853 -10513 , 13529, 13499, 13498, 13528, 13856, 13826, 13825, 13854 -10514 , 7576, 7580, 7149, 7146, 13855, 14256, 12746, 12656 -10515 , 13530, 13500, 13499, 13529, 13857, 13827, 13826, 13856 -10516 , 13531, 13501, 13500, 13530, 13858, 13828, 13827, 13857 -10517 , 13532, 13502, 13501, 13531, 13859, 13829, 13828, 13858 -10518 , 13533, 13503, 13502, 13532, 13860, 13831, 13829, 13859 -10519 , 13534, 13504, 13503, 13533, 13862, 13832, 13831, 13860 -10520 , 13536, 13505, 13504, 13534, 13864, 13861, 13832, 13862 -10521 , 13537, 13535, 13505, 13536, 13865, 13863, 13861, 13864 -10522 , 13863, 13535, 13505, 13861, 13834, 13506, 13475, 13833 -10523 , 13558, 13538, 13535, 13537, 13891, 13866, 13863, 13865 -10524 , 13538, 13508, 13506, 13535, 13866, 13835, 13834, 13863 -10525 , 7442, 7444, 7581, 7575, 13538, 13558, 13891, 13866 -10526 , 7443, 7577, 7579, 7582, 13539, 13510, 13868, 13867 -10527 , 7582, 7583, 7445, 7443, 13867, 13892, 13561, 13539 -10528 , 13542, 13512, 13511, 13541, 13871, 13838, 13869, 13870 -10529 , 13541, 13511, 13510, 13540, 13870, 13869, 13868, 13893 -10530 , 13480, 13511, 13869, 13837, 13479, 13510, 13868, 13836 -10531 , 13543, 13513, 13512, 13542, 13872, 13839, 13838, 13871 -10532 , 13544, 13514, 13513, 13543, 13873, 13840, 13839, 13872 -10533 , 13545, 13515, 13514, 13544, 13874, 13841, 13840, 13873 -10534 , 13546, 13516, 13515, 13545, 13875, 13842, 13841, 13874 -10535 , 13548, 13517, 13516, 13546, 13876, 13843, 13842, 13875 -10536 , 10708, 13518, 13517, 13548, 13877, 13844, 13843, 13876 -10537 , 10107, 13519, 13518, 10708, 13878, 13845, 13844, 13877 -10538 , 13519, 10706, 10106, 10107, 10672, 10675, 10103, 10102 -10539 , 10106, 10706, 13519, 10107, 13880, 13846, 13845, 13878 -10540 , 7584, 7440, 7143, 7152, 13879, 13895, 12662, 12660 -10541 , 7152, 7155, 7585, 7584, 12660, 12756, 14296, 13879 -10542 , 10111, 10707, 10706, 10106, 10145, 13847, 13846, 13880 -10543 , 10707, 13520, 10115, 10111, 10678, 10681, 10113, 10109 -10544 , 10115, 13520, 10707, 10111, 10149, 13848, 13847, 10145 -10545 , 10146, 13521, 13520, 10115, 10151, 13849, 13848, 10149 -10546 , 10709, 13522, 13521, 10146, 10195, 13850, 13849, 10151 -10547 , 10710, 13523, 13522, 10709, 10196, 13851, 13850, 10195 -10548 , 10714, 13524, 13523, 10710, 10720, 13852, 13851, 10196 -10549 , 10719, 13527, 13524, 10714, 13881, 13853, 13852, 10720 -10550 , 13549, 13528, 13527, 10719, 13882, 13854, 13853, 13881 -10551 , 13550, 13529, 13528, 13549, 13883, 13856, 13854, 13882 -10552 , 13551, 13530, 13529, 13550, 13884, 13857, 13856, 13883 -10553 , 13552, 13531, 13530, 13551, 13885, 13858, 13857, 13884 -10554 , 13553, 13532, 13531, 13552, 13886, 13859, 13858, 13885 -10555 , 13554, 13533, 13532, 13553, 13887, 13860, 13859, 13886 -10556 , 13555, 13534, 13533, 13554, 13888, 13862, 13860, 13887 -10557 , 13556, 13536, 13534, 13555, 13889, 13864, 13862, 13888 -10558 , 13557, 13537, 13536, 13556, 13890, 13865, 13864, 13889 -10559 , 13890, 13557, 13537, 13865, 13916, 13579, 13558, 13891 -10560 , 7444, 7447, 7586, 7581, 13558, 13579, 13916, 13891 -10561 , 7445, 7587, 7449, 7448, 13561, 13582, 13581, 13560 -10562 , 7583, 7588, 7587, 7445, 13892, 13917, 13582, 13561 -10563 , 13563, 13541, 13540, 13562, 13896, 13870, 13893, 13894 -10564 , 13562, 13540, 13561, 13582, 13894, 13893, 13892, 13917 -10565 , 13540, 13510, 13539, 13561, 13893, 13868, 13867, 13892 -10566 , 13564, 13542, 13541, 13563, 13898, 13871, 13870, 13896 -10567 , 7526, 7589, 7074, 7071, 13897, 14007, 12301, 12298 -10568 , 13565, 13543, 13542, 13564, 13899, 13872, 13871, 13898 -10569 , 13566, 13544, 13543, 13565, 13900, 13873, 13872, 13899 -10570 , 13567, 13545, 13544, 13566, 13901, 13874, 13873, 13900 -10571 , 13568, 13546, 13545, 13567, 13902, 13875, 13874, 13901 -10572 , 10715, 13548, 13546, 13568, 13903, 13876, 13875, 13902 -10573 , 13548, 10708, 10119, 10715, 10687, 10688, 10118, 10686 -10574 , 10119, 10708, 13548, 10715, 13904, 13877, 13876, 13903 -10575 , 10108, 10107, 10708, 10119, 10153, 13878, 13877, 13904 -10576 , 10112, 10106, 10107, 10108, 10154, 13880, 13878, 10153 -10577 , 13570, 13549, 10719, 10716, 13905, 13882, 13881, 10721 -10578 , 13571, 13550, 13549, 13570, 13906, 13883, 13882, 13905 -10579 , 13572, 13551, 13550, 13571, 13907, 13884, 13883, 13906 -10580 , 13573, 13552, 13551, 13572, 13910, 13885, 13884, 13907 -10581 , 13908, 13526, 12579, 12666, 13909, 13926, 12672, 12669 -10582 , 13908, 13909, 12669, 12666, 13895, 14312, 12760, 12662 -10583 , 13507, 13908, 12666, 12572, 13486, 13895, 12662, 12570 -10584 , 13574, 13553, 13552, 13573, 13911, 13886, 13885, 13910 -10585 , 13575, 13554, 13553, 13574, 13912, 13887, 13886, 13911 -10586 , 13576, 13555, 13554, 13575, 13913, 13888, 13887, 13912 -10587 , 13577, 13556, 13555, 13576, 13914, 13889, 13888, 13913 -10588 , 13578, 13557, 13556, 13577, 13915, 13890, 13889, 13914 -10589 , 13915, 13578, 13557, 13890, 13935, 13601, 13579, 13916 -10590 , 7450, 7451, 7590, 7447, 13580, 13604, 13601, 13579 -10591 , 7447, 7590, 7591, 7586, 13579, 13601, 13935, 13916 -10592 , 7587, 7454, 7452, 7449, 13582, 13583, 13605, 13581 -10593 , 7588, 7592, 7454, 7587, 13917, 13937, 13583, 13582 -10594 , 13585, 13563, 13562, 13584, 13919, 13896, 13894, 13918 -10595 , 13584, 13562, 13582, 13583, 13918, 13894, 13917, 13937 -10596 , 13586, 13564, 13563, 13585, 13920, 13898, 13896, 13919 -10597 , 13587, 13565, 13564, 13586, 13921, 13899, 13898, 13920 -10598 , 13588, 13566, 13565, 13587, 13922, 13900, 13899, 13921 -10599 , 13590, 13567, 13566, 13588, 13923, 13901, 13900, 13922 -10600 , 13591, 13568, 13567, 13590, 13924, 13902, 13901, 13923 -10601 , 10129, 10715, 13568, 13591, 13925, 13903, 13902, 13924 -10602 , 10120, 10119, 10715, 10129, 10168, 13904, 13903, 13925 -10603 , 13526, 13547, 12582, 12579, 13926, 13936, 12675, 12672 -10604 , 13592, 13570, 10716, 10718, 10727, 13905, 10721, 10722 -10605 , 13593, 13571, 13570, 13592, 13927, 13906, 13905, 10727 -10606 , 13594, 13572, 13571, 13593, 13928, 13907, 13906, 13927 -10607 , 13595, 13573, 13572, 13594, 13929, 13910, 13907, 13928 -10608 , 13596, 13574, 13573, 13595, 13930, 13911, 13910, 13929 -10609 , 13597, 13575, 13574, 13596, 13931, 13912, 13911, 13930 -10610 , 13598, 13576, 13575, 13597, 13932, 13913, 13912, 13931 -10611 , 13600, 13577, 13576, 13598, 13933, 13914, 13913, 13932 -10612 , 13602, 13578, 13577, 13600, 13934, 13915, 13914, 13933 -10613 , 13934, 13602, 13578, 13915, 13953, 13603, 13601, 13935 -10614 , 7451, 7453, 7593, 7590, 13604, 13625, 13603, 13601 -10615 , 7590, 7593, 7594, 7591, 13601, 13603, 13953, 13935 -10616 , 13547, 13559, 12585, 12582, 13936, 13946, 12678, 12675 -10617 , 7592, 7595, 7455, 7454, 13937, 13954, 13626, 13583 -10618 , 13607, 13585, 13584, 13606, 13939, 13919, 13918, 13938 -10619 , 13606, 13584, 13583, 13626, 13938, 13918, 13937, 13954 -10620 , 13608, 13586, 13585, 13607, 13940, 13920, 13919, 13939 -10621 , 13609, 13587, 13586, 13608, 13941, 13921, 13920, 13940 -10622 , 13610, 13588, 13587, 13609, 13942, 13922, 13921, 13941 -10623 , 13611, 13590, 13588, 13610, 13943, 13923, 13922, 13942 -10624 , 13612, 13591, 13590, 13611, 13944, 13924, 13923, 13943 -10625 , 10134, 10129, 13591, 13612, 13945, 13925, 13924, 13944 -10626 , 10129, 10120, 10168, 13925, 10134, 10130, 10169, 13945 -10627 , 13615, 13592, 10718, 10624, 10728, 10727, 10722, 10724 -10628 , 13616, 13593, 13592, 13615, 10735, 13927, 10727, 10728 -10629 , 13559, 13569, 12588, 12585, 13946, 13960, 12681, 12678 -10630 , 13617, 13594, 13593, 13616, 10774, 13928, 13927, 10735 -10631 , 13618, 13595, 13594, 13617, 13947, 13929, 13928, 10774 -10632 , 13619, 13596, 13595, 13618, 13948, 13930, 13929, 13947 -10633 , 13620, 13597, 13596, 13619, 13949, 13931, 13930, 13948 -10634 , 13621, 13598, 13597, 13620, 13950, 13932, 13931, 13949 -10635 , 13622, 13600, 13598, 13621, 13951, 13933, 13932, 13950 -10636 , 13623, 13602, 13600, 13622, 13952, 13934, 13933, 13951 -10637 , 13952, 13623, 13602, 13934, 13967, 13624, 13603, 13953 -10638 , 7453, 7457, 7596, 7593, 13625, 13644, 13624, 13603 -10639 , 7593, 7596, 7597, 7594, 13603, 13624, 13967, 13953 -10640 , 7595, 7598, 7459, 7455, 13954, 13938, 13606, 13626 -10641 , 7598, 7599, 7461, 7459, 13938, 13939, 13607, 13606 -10642 , 7600, 7464, 7462, 7461, 13608, 13627, 13645, 13607 -10643 , 7599, 7601, 7600, 7461, 13939, 13940, 13608, 13607 -10644 , 7601, 7602, 7464, 7600, 13940, 13969, 13627, 13608 -10645 , 13609, 13610, 13942, 13941, 13628, 13630, 13956, 13955 -10646 , 13628, 13609, 13608, 13627, 13955, 13941, 13940, 13969 -10647 , 13610, 13611, 13943, 13942, 13630, 13631, 13957, 13956 -10648 , 13632, 13612, 13611, 13631, 13958, 13944, 13943, 13957 -10649 , 10180, 10134, 13612, 13632, 13959, 13945, 13944, 13958 -10650 , 13959, 10180, 10134, 13945, 10181, 10138, 10130, 10169 -10651 , 13569, 13589, 12591, 12588, 13960, 13968, 12684, 12681 -10652 , 13633, 13615, 10624, 10625, 10737, 10728, 10724, 10732 -10653 , 13634, 13616, 13615, 13633, 10739, 10735, 10728, 10737 -10654 , 13635, 13617, 13616, 13634, 10746, 10774, 10735, 10739 -10655 , 13636, 13618, 13617, 13635, 13961, 13947, 10774, 10746 -10656 , 13637, 13619, 13618, 13636, 13962, 13948, 13947, 13961 -10657 , 13638, 13620, 13619, 13637, 13963, 13949, 13948, 13962 -10658 , 13640, 13621, 13620, 13638, 13964, 13950, 13949, 13963 -10659 , 13641, 13622, 13621, 13640, 13965, 13951, 13950, 13964 -10660 , 13642, 13623, 13622, 13641, 13966, 13952, 13951, 13965 -10661 , 13966, 13642, 13623, 13952, 13980, 13643, 13624, 13967 -10662 , 7457, 7463, 7603, 7596, 13644, 13657, 13643, 13624 -10663 , 7596, 7603, 7604, 7597, 13624, 13643, 13980, 13967 -10664 , 13589, 13599, 12594, 12591, 13968, 13973, 12687, 12684 -10665 , 7602, 7605, 7465, 7464, 13969, 13955, 13628, 13627 -10666 , 7605, 7606, 7467, 7465, 13955, 13956, 13630, 13628 -10667 , 12260, 13970, 7014, 7015, 12267, 15254, 7607, 7038 -10668 , 7608, 7473, 7468, 7467, 13631, 13646, 13659, 13630 -10669 , 7606, 7609, 7608, 7467, 13956, 13957, 13631, 13630 -10670 , 7609, 7610, 7473, 7608, 13957, 13981, 13646, 13631 -10671 , 13632, 10180, 13959, 13958, 13647, 13660, 13972, 13971 -10672 , 13631, 13632, 13958, 13957, 13646, 13647, 13971, 13981 -10673 , 10180, 10138, 10181, 13959, 13660, 10189, 10227, 13972 -10674 , 10137, 10136, 10138, 10180, 13273, 10249, 10189, 13660 -10675 , 13649, 10625, 10604, 10622, 10742, 10732, 10619, 10623 -10676 , 13650, 13633, 10625, 13649, 10744, 10737, 10732, 10742 -10677 , 11453, 13634, 13633, 13650, 10748, 10739, 10737, 10744 -10678 , 11455, 13635, 13634, 11453, 10775, 10746, 10739, 10748 -10679 , 13651, 13636, 13635, 11455, 13974, 13961, 10746, 10775 -10680 , 13599, 13614, 12598, 12594, 13973, 13984, 12690, 12687 -10681 , 13652, 13637, 13636, 13651, 13975, 13962, 13961, 13974 -10682 , 13653, 13638, 13637, 13652, 13976, 13963, 13962, 13975 -10683 , 13654, 13640, 13638, 13653, 13977, 13964, 13963, 13976 -10684 , 13655, 13641, 13640, 13654, 13978, 13965, 13964, 13977 -10685 , 13656, 13642, 13641, 13655, 13979, 13966, 13965, 13978 -10686 , 13979, 13656, 13642, 13966, 13996, 13658, 13643, 13980 -10687 , 7463, 7472, 7484, 7603, 13657, 13668, 13658, 13643 -10688 , 7603, 7484, 7611, 7604, 13643, 13658, 13996, 13980 -10689 , 7610, 7612, 7474, 7473, 13981, 13971, 13647, 13646 -10690 , 7612, 7613, 7475, 7474, 13971, 13972, 13660, 13647 -10691 , 7613, 7614, 7476, 7475, 13972, 10227, 10189, 13660 -10692 , 7614, 7615, 7477, 7476, 10227, 10191, 10188, 10189 -10693 , 7477, 7616, 7617, 7478, 10188, 13982, 13983, 10190 -10694 , 7615, 7618, 7616, 7477, 10191, 13997, 13982, 10188 -10695 , 7478, 7617, 7619, 7479, 10190, 13983, 10620, 10192 -10696 , 7478, 10190, 10192, 7479, 7471, 10143, 10254, 7267 -10697 , 10620, 7619, 7479, 10192, 10616, 7620, 7480, 10259 -10698 , 11458, 10622, 10503, 10514, 13985, 10623, 10608, 10628 -10699 , 13614, 13629, 12603, 12598, 13984, 13999, 12693, 12690 -10700 , 11460, 13649, 10622, 11458, 13986, 10742, 10623, 13985 -10701 , 11461, 13650, 13649, 11460, 13987, 10744, 10742, 13986 -10702 , 13650, 11453, 11452, 11461, 11294, 11302, 11301, 11298 -10703 , 11452, 11453, 13650, 11461, 13988, 10748, 10744, 13987 -10704 , 11454, 11455, 11453, 11452, 13989, 10775, 10748, 13988 -10705 , 11455, 13651, 11464, 11454, 11308, 11313, 11312, 11307 -10706 , 11464, 13651, 11455, 11454, 13990, 13974, 10775, 13989 -10707 , 13662, 13652, 13651, 11464, 13991, 13975, 13974, 13990 -10708 , 13663, 13653, 13652, 13662, 13992, 13976, 13975, 13991 -10709 , 13664, 13654, 13653, 13663, 13993, 13977, 13976, 13992 -10710 , 13665, 13655, 13654, 13664, 13994, 13978, 13977, 13993 -10711 , 13666, 13656, 13655, 13665, 13995, 13979, 13978, 13994 -10712 , 13995, 13666, 13656, 13979, 14004, 13673, 13658, 13996 -10713 , 7484, 7485, 7621, 7611, 13658, 13673, 14004, 13996 -10714 , 7618, 7622, 7617, 7616, 13997, 13998, 13983, 13982 -10715 , 7622, 7623, 7619, 7617, 13998, 10612, 10620, 13983 -10716 , 7623, 7624, 7620, 7619, 10612, 10611, 10616, 10620 -10717 , 7624, 7625, 7482, 7620, 10611, 10614, 10506, 10616 -10718 , 10506, 7482, 7620, 10616, 10496, 7481, 7480, 10259 -10719 , 7625, 7626, 7486, 7482, 10614, 10626, 10504, 10506 -10720 , 10504, 7486, 7482, 10506, 10502, 7301, 7291, 10500 -10721 , 7626, 7627, 7487, 7486, 10626, 11739, 11523, 10504 -10722 , 11523, 7487, 7486, 10504, 11035, 7302, 7301, 10502 -10723 , 10514, 11458, 13985, 10628, 11456, 11457, 11526, 11524 -10724 , 10504, 10514, 10628, 10626, 11523, 11456, 11524, 11739 -10725 , 13629, 13639, 12606, 12603, 13999, 14006, 12696, 12693 -10726 , 11459, 11460, 11458, 11457, 11528, 13986, 13985, 11526 -10727 , 11462, 11461, 11460, 11459, 11530, 13987, 13986, 11528 -10728 , 11463, 11452, 11461, 11462, 11532, 13988, 13987, 11530 -10729 , 11465, 11454, 11452, 11463, 11534, 13989, 13988, 11532 -10730 , 11466, 11464, 11454, 11465, 11536, 13990, 13989, 11534 -10731 , 11464, 13662, 11472, 11466, 11312, 11333, 11339, 11334 -10732 , 11472, 13662, 11464, 11466, 14000, 13991, 13990, 11536 -10733 , 13669, 13663, 13662, 11472, 14001, 13992, 13991, 14000 -10734 , 13670, 13664, 13663, 13669, 14002, 13993, 13992, 14001 -10735 , 13671, 13665, 13664, 13670, 14003, 13994, 13993, 14002 -10736 , 13672, 13666, 13665, 13671, 14005, 13995, 13994, 14003 -10737 , 13675, 13673, 13666, 13672, 14009, 14004, 13995, 14005 -10738 , 7485, 7488, 7628, 7621, 13673, 13675, 14009, 14004 -10739 , 13639, 13648, 12609, 12606, 14006, 14011, 12699, 12696 -10740 , 11472, 13669, 11482, 11474, 11339, 11360, 11366, 11361 -10741 , 11482, 13669, 11472, 11474, 11547, 14001, 14000, 11543 -10742 , 11488, 13670, 13669, 11482, 11596, 14002, 14001, 11547 -10743 , 13670, 13671, 14003, 14002, 11488, 11548, 14008, 11596 -10744 , 7589, 7631, 7077, 7074, 14007, 14173, 12305, 12301 -10745 , 14008, 11548, 13671, 14003, 14010, 13676, 13672, 14005 -10746 , 7488, 7493, 7499, 7632, 13675, 13678, 13676, 13672 -10747 , 7633, 7628, 7488, 7632, 14005, 14009, 13675, 13672 -10748 , 7632, 7499, 7634, 7633, 13672, 13676, 14010, 14005 -10749 , 7638, 7639, 7498, 7637, 11596, 14008, 11548, 11488 -10750 , 7639, 7634, 7499, 7498, 14008, 14010, 13676, 11548 -10751 , 13648, 13661, 12612, 12609, 14011, 14012, 12702, 12699 -10752 , 13661, 13667, 12615, 12612, 14012, 14013, 12705, 12702 -10753 , 7522, 7659, 7524, 7523, 13682, 13696, 13694, 13681 -10754 , 13667, 13674, 12618, 12615, 14013, 14026, 12708, 12705 -10755 , 7525, 7529, 7659, 7522, 13685, 13697, 13696, 13682 -10756 , 7533, 7660, 7535, 7534, 13687, 13704, 13702, 13686 -10757 , 7536, 7661, 7660, 7533, 13688, 13703, 13704, 13687 -10758 , 7537, 7540, 7661, 7536, 13689, 13707, 13703, 13688 -10759 , 7544, 7662, 7546, 7545, 13691, 13716, 13714, 13690 -10760 , 7547, 7663, 7662, 7544, 13692, 13715, 13716, 13691 -10761 , 7547, 7548, 7664, 7665, 13692, 13693, 14015, 14014 -10762 , 7665, 7666, 7663, 7547, 14014, 14031, 13715, 13692 -10763 , 7548, 7524, 7667, 7664, 13693, 13694, 14016, 14015 -10764 , 7524, 7659, 7668, 7667, 13694, 13696, 14017, 14016 -10765 , 7659, 7529, 7669, 7668, 13696, 13697, 14018, 14017 -10766 , 7529, 7549, 7670, 7669, 13697, 13699, 14019, 14018 -10767 , 7549, 7550, 7671, 7670, 13699, 13700, 14020, 14019 -10768 , 7550, 7551, 7672, 7671, 13700, 13701, 14021, 14020 -10769 , 7551, 7535, 7673, 7672, 13701, 13702, 14022, 14021 -10770 , 7535, 7660, 7674, 7673, 13702, 13704, 14023, 14022 -10771 , 7660, 7661, 7675, 7674, 13704, 13703, 14024, 14023 -10772 , 7661, 7540, 7676, 7675, 13703, 13707, 14025, 14024 -10773 , 13708, 8561, 7540, 13707, 14058, 7791, 7676, 14025 -10774 , 13674, 13677, 12621, 12618, 14026, 14055, 12711, 12708 -10775 , 13709, 8562, 8561, 13708, 14060, 7793, 7791, 14058 -10776 , 13710, 8563, 8562, 13709, 14363, 7797, 7793, 14060 -10777 , 13743, 8564, 8563, 13710, 14061, 7798, 7797, 14363 -10778 , 7555, 7677, 7557, 7556, 13712, 13749, 13747, 13711 -10779 , 7555, 7558, 7678, 7679, 13712, 13713, 14028, 14027 -10780 , 7679, 7680, 7677, 7555, 14027, 14063, 13749, 13712 -10781 , 7558, 7546, 7681, 7678, 13713, 13714, 14029, 14028 -10782 , 7546, 7662, 7682, 7681, 13714, 13716, 14030, 14029 -10783 , 7662, 7663, 7666, 7682, 13716, 13715, 14031, 14030 -10784 , 13723, 13720, 13718, 13721, 14036, 14032, 14033, 14034 -10785 , 13720, 13694, 13693, 13718, 14032, 14016, 14015, 14033 -10786 , 13721, 13718, 13715, 13719, 14034, 14033, 14031, 14069 -10787 , 13718, 13693, 13692, 13715, 14033, 14015, 14014, 14031 -10788 , 13725, 13695, 13720, 13723, 14038, 14035, 14032, 14036 -10789 , 13695, 13696, 13694, 13720, 14035, 14017, 14016, 14032 -10790 , 13727, 13724, 13695, 13725, 14040, 14037, 14035, 14038 -10791 , 13724, 13697, 13696, 13695, 14037, 14018, 14017, 14035 -10792 , 13729, 13726, 13724, 13727, 14042, 14039, 14037, 14040 -10793 , 13726, 13699, 13697, 13724, 14039, 14019, 14018, 14037 -10794 , 13731, 13728, 13726, 13729, 14044, 14041, 14039, 14042 -10795 , 14041, 13728, 13726, 14039, 14020, 13700, 13699, 14019 -10796 , 13733, 13730, 13728, 13731, 14046, 14043, 14041, 14044 -10797 , 14043, 13730, 13728, 14041, 14021, 13701, 13700, 14020 -10798 , 13734, 13732, 13730, 13733, 14048, 14045, 14043, 14046 -10799 , 14045, 13732, 13730, 14043, 14022, 13702, 13701, 14021 -10800 , 13735, 13705, 13732, 13734, 14050, 14047, 14045, 14048 -10801 , 14047, 13705, 13732, 14045, 14023, 13704, 13702, 14022 -10802 , 13737, 13706, 13705, 13735, 14052, 14049, 14047, 14050 -10803 , 14049, 13706, 13705, 14047, 14024, 13703, 13704, 14023 -10804 , 13739, 13736, 13706, 13737, 14054, 14051, 14049, 14052 -10805 , 14051, 13736, 13706, 14049, 14025, 13707, 13703, 14024 -10806 , 13741, 13738, 13736, 13739, 14057, 14053, 14051, 14054 -10807 , 14053, 13738, 13736, 14051, 14058, 13708, 13707, 14025 -10808 , 13677, 13679, 12624, 12621, 14055, 14080, 12714, 12711 -10809 , 13742, 13740, 13738, 13741, 14059, 14056, 14053, 14057 -10810 , 13740, 13709, 13708, 13738, 14056, 14060, 14058, 14053 -10811 , 13769, 13743, 13740, 13742, 14085, 14061, 14056, 14059 -10812 , 13743, 13710, 13709, 13740, 14061, 14363, 14060, 14056 -10813 , 13744, 8565, 8564, 13743, 14090, 7811, 7798, 14061 -10814 , 13745, 8566, 8565, 13744, 14387, 7813, 7811, 14090 -10815 , 13774, 8567, 8566, 13745, 14091, 7814, 7813, 14387 -10816 , 7557, 7683, 7562, 7561, 13747, 13778, 13777, 13746 -10817 , 7557, 7677, 7680, 7684, 13747, 13749, 14063, 14062 -10818 , 7684, 7685, 7683, 7557, 14062, 14092, 13778, 13747 -10819 , 13754, 13752, 13748, 13753, 14068, 14064, 14065, 14066 -10820 , 13752, 13714, 13713, 13748, 14064, 14029, 14028, 14065 -10821 , 13753, 13748, 13749, 13750, 14066, 14065, 14063, 14093 -10822 , 13748, 13713, 13712, 13749, 14065, 14028, 14027, 14063 -10823 , 13755, 13717, 13752, 13754, 14070, 14067, 14064, 14068 -10824 , 14067, 13717, 13752, 14064, 14030, 13716, 13714, 14029 -10825 , 13756, 13719, 13717, 13755, 14071, 14069, 14067, 14070 -10826 , 14069, 13719, 13717, 14067, 14031, 13715, 13716, 14030 -10827 , 13757, 13721, 13719, 13756, 14072, 14034, 14069, 14071 -10828 , 13758, 13723, 13721, 13757, 14073, 14036, 14034, 14072 -10829 , 13759, 13725, 13723, 13758, 14074, 14038, 14036, 14073 -10830 , 13760, 13727, 13725, 13759, 14075, 14040, 14038, 14074 -10831 , 13761, 13729, 13727, 13760, 14076, 14042, 14040, 14075 -10832 , 13762, 13731, 13729, 13761, 14077, 14044, 14042, 14076 -10833 , 13763, 13733, 13731, 13762, 14078, 14046, 14044, 14077 -10834 , 13764, 13734, 13733, 13763, 14079, 14048, 14046, 14078 -10835 , 13765, 13735, 13734, 13764, 14081, 14050, 14048, 14079 -10836 , 13679, 13680, 12627, 12624, 14080, 14103, 12717, 12714 -10837 , 13766, 13737, 13735, 13765, 14082, 14052, 14050, 14081 -10838 , 13767, 13739, 13737, 13766, 14083, 14054, 14052, 14082 -10839 , 13768, 13741, 13739, 13767, 14084, 14057, 14054, 14083 -10840 , 13770, 13742, 13741, 13768, 14086, 14059, 14057, 14084 -10841 , 13772, 13769, 13742, 13770, 14088, 14085, 14059, 14086 -10842 , 13773, 13771, 13769, 13772, 14089, 14087, 14085, 14088 -10843 , 14087, 13771, 13769, 14085, 14090, 13744, 13743, 14061 -10844 , 13801, 13774, 13771, 13773, 14114, 14091, 14087, 14089 -10845 , 13774, 13745, 13744, 13771, 14091, 14387, 14090, 14087 -10846 , 13776, 8568, 8567, 13774, 14419, 7822, 7814, 14091 -10847 , 13804, 8569, 8568, 13776, 14117, 7823, 7822, 14419 -10848 , 7683, 7686, 7567, 7562, 13778, 13779, 13806, 13777 -10849 , 7685, 7687, 7686, 7683, 14092, 14119, 13779, 13778 -10850 , 13781, 13753, 13750, 13780, 14095, 14066, 14093, 14094 -10851 , 13750, 13780, 14094, 14093, 13778, 13779, 14119, 14092 -10852 , 13750, 13749, 13747, 13778, 14093, 14063, 14062, 14092 -10853 , 13782, 13754, 13753, 13781, 14096, 14068, 14066, 14095 -10854 , 13783, 13755, 13754, 13782, 14097, 14070, 14068, 14096 -10855 , 13784, 13756, 13755, 13783, 14098, 14071, 14070, 14097 -10856 , 13785, 13757, 13756, 13784, 14099, 14072, 14071, 14098 -10857 , 13786, 13758, 13757, 13785, 14100, 14073, 14072, 14099 -10858 , 13787, 13759, 13758, 13786, 14101, 14074, 14073, 14100 -10859 , 13788, 13760, 13759, 13787, 14102, 14075, 14074, 14101 -10860 , 13789, 13761, 13760, 13788, 14104, 14076, 14075, 14102 -10861 , 13680, 13684, 12630, 12627, 14103, 14124, 12720, 12717 -10862 , 13790, 13762, 13761, 13789, 14105, 14077, 14076, 14104 -10863 , 13791, 13763, 13762, 13790, 14106, 14078, 14077, 14105 -10864 , 13792, 13764, 13763, 13791, 14107, 14079, 14078, 14106 -10865 , 13795, 13765, 13764, 13792, 14108, 14081, 14079, 14107 -10866 , 13796, 13766, 13765, 13795, 14109, 14082, 14081, 14108 -10867 , 13797, 13767, 13766, 13796, 14110, 14083, 14082, 14109 -10868 , 13798, 13768, 13767, 13797, 14111, 14084, 14083, 14110 -10869 , 13799, 13770, 13768, 13798, 14112, 14086, 14084, 14111 -10870 , 13800, 13772, 13770, 13799, 14113, 14088, 14086, 14112 -10871 , 13802, 13773, 13772, 13800, 14115, 14089, 14088, 14113 -10872 , 13803, 13801, 13773, 13802, 14116, 14114, 14089, 14115 -10873 , 13830, 13804, 13801, 13803, 14141, 14117, 14114, 14116 -10874 , 13804, 13776, 13774, 13801, 14117, 14419, 14091, 14114 -10875 , 13805, 8570, 8569, 13804, 14446, 7829, 7823, 14117 -10876 , 13833, 7573, 8570, 13805, 14144, 7691, 7829, 14446 -10877 , 7567, 7686, 7687, 7688, 13806, 13779, 14119, 14118 -10878 , 7688, 7689, 7571, 7567, 14118, 14148, 13837, 13806 -10879 , 13809, 13781, 13780, 13808, 14121, 14095, 14094, 14120 -10880 , 13808, 13780, 13779, 13807, 14120, 14094, 14119, 14149 -10881 , 13810, 13782, 13781, 13809, 14122, 14096, 14095, 14121 -10882 , 13811, 13783, 13782, 13810, 14123, 14097, 14096, 14122 -10883 , 13812, 13784, 13783, 13811, 14125, 14098, 14097, 14123 -10884 , 13684, 13698, 12633, 12630, 14124, 14146, 12723, 12720 -10885 , 13815, 13785, 13784, 13812, 14126, 14099, 14098, 14125 -10886 , 13816, 13786, 13785, 13815, 14127, 14100, 14099, 14126 -10887 , 13817, 13787, 13786, 13816, 14128, 14101, 14100, 14127 -10888 , 13818, 13788, 13787, 13817, 14129, 14102, 14101, 14128 -10889 , 13819, 13789, 13788, 13818, 14130, 14104, 14102, 14129 -10890 , 13820, 13790, 13789, 13819, 14131, 14105, 14104, 14130 -10891 , 13821, 13791, 13790, 13820, 14132, 14106, 14105, 14131 -10892 , 13822, 13792, 13791, 13821, 14133, 14107, 14106, 14132 -10893 , 13823, 13795, 13792, 13822, 14134, 14108, 14107, 14133 -10894 , 13824, 13796, 13795, 13823, 14135, 14109, 14108, 14134 -10895 , 13825, 13797, 13796, 13824, 14136, 14110, 14109, 14135 -10896 , 13826, 13798, 13797, 13825, 14137, 14111, 14110, 14136 -10897 , 13827, 13799, 13798, 13826, 14138, 14112, 14111, 14137 -10898 , 13828, 13800, 13799, 13827, 14139, 14113, 14112, 14138 -10899 , 13829, 13802, 13800, 13828, 14140, 14115, 14113, 14139 -10900 , 13831, 13803, 13802, 13829, 14142, 14116, 14115, 14140 -10901 , 13832, 13830, 13803, 13831, 14143, 14141, 14116, 14142 -10902 , 13861, 13833, 13830, 13832, 14174, 14144, 14141, 14143 -10903 , 13833, 13805, 13804, 13830, 14144, 14446, 14117, 14141 -10904 , 7573, 7572, 7690, 7691, 13833, 13834, 14145, 14144 -10905 , 7574, 7575, 7692, 7572, 13835, 13866, 13863, 13834 -10906 , 7572, 7692, 7693, 7690, 13834, 13863, 14177, 14145 -10907 , 13698, 13722, 12636, 12633, 14146, 14167, 12726, 12723 -10908 , 7578, 7571, 7689, 7694, 13836, 13837, 14148, 14147 -10909 , 7694, 7695, 7579, 7578, 14147, 14178, 13868, 13836 -10910 , 13839, 13808, 13807, 13838, 14151, 14120, 14149, 14150 -10911 , 13838, 13807, 13837, 13869, 14150, 14149, 14148, 14179 -10912 , 13807, 13779, 13806, 13837, 14149, 14119, 14118, 14148 -10913 , 13840, 13809, 13808, 13839, 14152, 14121, 14120, 14151 -10914 , 13841, 13810, 13809, 13840, 14153, 14122, 14121, 14152 -10915 , 13842, 13811, 13810, 13841, 14154, 14123, 14122, 14153 -10916 , 13843, 13812, 13811, 13842, 14155, 14125, 14123, 14154 -10917 , 13844, 13815, 13812, 13843, 14156, 14126, 14125, 14155 -10918 , 13845, 13816, 13815, 13844, 14157, 14127, 14126, 14156 -10919 , 13846, 13817, 13816, 13845, 14158, 14128, 14127, 14157 -10920 , 13847, 13818, 13817, 13846, 14159, 14129, 14128, 14158 -10921 , 13848, 13819, 13818, 13847, 14160, 14130, 14129, 14159 -10922 , 13849, 13820, 13819, 13848, 14161, 14131, 14130, 14160 -10923 , 13850, 13821, 13820, 13849, 14162, 14132, 14131, 14161 -10924 , 13851, 13822, 13821, 13850, 14163, 14133, 14132, 14162 -10925 , 13852, 13823, 13822, 13851, 14164, 14134, 14133, 14163 -10926 , 13853, 13824, 13823, 13852, 14165, 14135, 14134, 14164 -10927 , 13854, 13825, 13824, 13853, 14166, 14136, 14135, 14165 -10928 , 13856, 13826, 13825, 13854, 14168, 14137, 14136, 14166 -10929 , 13722, 13751, 12639, 12636, 14167, 14189, 12730, 12726 -10930 , 13857, 13827, 13826, 13856, 14169, 14138, 14137, 14168 -10931 , 13858, 13828, 13827, 13857, 14170, 14139, 14138, 14169 -10932 , 13859, 13829, 13828, 13858, 14171, 14140, 14139, 14170 -10933 , 13860, 13831, 13829, 13859, 14172, 14142, 14140, 14171 -10934 , 13862, 13832, 13831, 13860, 14175, 14143, 14142, 14172 -10935 , 7631, 7696, 7081, 7077, 14173, 14322, 12307, 12305 -10936 , 13864, 13861, 13832, 13862, 14176, 14174, 14143, 14175 -10937 , 14176, 13864, 13861, 14174, 14204, 13865, 13863, 14177 -10938 , 13863, 13834, 13833, 13861, 14177, 14145, 14144, 14174 -10939 , 7575, 7581, 7697, 7692, 13866, 13891, 13865, 13863 -10940 , 7692, 7697, 7698, 7693, 13863, 13865, 14204, 14177 -10941 , 7579, 7699, 7583, 7582, 13868, 13893, 13892, 13867 -10942 , 7695, 7700, 7699, 7579, 14178, 14206, 13893, 13868 -10943 , 13871, 13838, 13869, 13870, 14181, 14150, 14179, 14180 -10944 , 13870, 13869, 13868, 13893, 14180, 14179, 14178, 14206 -10945 , 13869, 13837, 13836, 13868, 14179, 14148, 14147, 14178 -10946 , 13872, 13839, 13838, 13871, 14182, 14151, 14150, 14181 -10947 , 13873, 13840, 13839, 13872, 14183, 14152, 14151, 14182 -10948 , 13874, 13841, 13840, 13873, 14184, 14153, 14152, 14183 -10949 , 13875, 13842, 13841, 13874, 14185, 14154, 14153, 14184 -10950 , 13876, 13843, 13842, 13875, 14186, 14155, 14154, 14185 -10951 , 13877, 13844, 13843, 13876, 14187, 14156, 14155, 14186 -10952 , 13878, 13845, 13844, 13877, 14188, 14157, 14156, 14187 -10953 , 13880, 13846, 13845, 13878, 14190, 14158, 14157, 14188 -10954 , 13751, 13775, 12642, 12639, 14189, 14207, 12733, 12730 -10955 , 10145, 13847, 13846, 13880, 14191, 14159, 14158, 14190 -10956 , 10149, 13848, 13847, 10145, 14192, 14160, 14159, 14191 -10957 , 10151, 13849, 13848, 10149, 14193, 14161, 14160, 14192 -10958 , 10195, 13850, 13849, 10151, 10198, 14162, 14161, 14193 -10959 , 10196, 13851, 13850, 10195, 10200, 14163, 14162, 10198 -10960 , 10720, 13852, 13851, 10196, 14194, 14164, 14163, 10200 -10961 , 13881, 13853, 13852, 10720, 14195, 14165, 14164, 14194 -10962 , 13882, 13854, 13853, 13881, 14196, 14166, 14165, 14195 -10963 , 13883, 13856, 13854, 13882, 14197, 14168, 14166, 14196 -10964 , 13884, 13857, 13856, 13883, 14198, 14169, 14168, 14197 -10965 , 13885, 13858, 13857, 13884, 14199, 14170, 14169, 14198 -10966 , 13886, 13859, 13858, 13885, 14200, 14171, 14170, 14199 -10967 , 13887, 13860, 13859, 13886, 14201, 14172, 14171, 14200 -10968 , 13888, 13862, 13860, 13887, 14202, 14175, 14172, 14201 -10969 , 13889, 13864, 13862, 13888, 14203, 14176, 14175, 14202 -10970 , 13890, 13865, 13864, 13889, 14229, 14204, 14176, 14203 -10971 , 7697, 7581, 7701, 7698, 13865, 13891, 14205, 14204 -10972 , 7581, 7586, 7702, 7701, 13891, 13916, 14232, 14205 -10973 , 7699, 7703, 7588, 7583, 13893, 13894, 13917, 13892 -10974 , 7700, 7704, 7703, 7699, 14206, 14233, 13894, 13893 -10975 , 13775, 13794, 12647, 12642, 14207, 14224, 12736, 12733 -10976 , 13898, 13871, 13870, 13896, 14209, 14181, 14180, 14208 -10977 , 13896, 13870, 13893, 13894, 14208, 14180, 14206, 14233 -10978 , 13899, 13872, 13871, 13898, 14210, 14182, 14181, 14209 -10979 , 13900, 13873, 13872, 13899, 14211, 14183, 14182, 14210 -10980 , 13901, 13874, 13873, 13900, 14212, 14184, 14183, 14211 -10981 , 13902, 13875, 13874, 13901, 14213, 14185, 14184, 14212 -10982 , 13903, 13876, 13875, 13902, 14214, 14186, 14185, 14213 -10983 , 13904, 13877, 13876, 13903, 14215, 14187, 14186, 14214 -10984 , 10153, 13878, 13877, 13904, 14216, 14188, 14187, 14215 -10985 , 10154, 13880, 13878, 10153, 14217, 14190, 14188, 14216 -10986 , 13880, 10145, 10144, 10154, 10106, 10111, 10116, 10112 -10987 , 10144, 10145, 13880, 10154, 14218, 14191, 14190, 14217 -10988 , 10148, 10149, 10145, 10144, 14219, 14192, 14191, 14218 -10989 , 10150, 10151, 10149, 10148, 10201, 14193, 14192, 14219 -10990 , 10720, 13881, 10721, 10204, 10714, 10719, 10716, 10713 -10991 , 10721, 13881, 10720, 10204, 14220, 14195, 14194, 10206 -10992 , 13905, 13882, 13881, 10721, 14221, 14196, 14195, 14220 -10993 , 13906, 13883, 13882, 13905, 14222, 14197, 14196, 14221 -10994 , 13907, 13884, 13883, 13906, 14223, 14198, 14197, 14222 -10995 , 13910, 13885, 13884, 13907, 14225, 14199, 14198, 14223 -10996 , 13794, 13813, 12650, 12647, 14224, 14244, 12741, 12736 -10997 , 13911, 13886, 13885, 13910, 14226, 14200, 14199, 14225 -10998 , 13912, 13887, 13886, 13911, 14227, 14201, 14200, 14226 -10999 , 13913, 13888, 13887, 13912, 14228, 14202, 14201, 14227 -11000 , 13914, 13889, 13888, 13913, 14230, 14203, 14202, 14228 -11001 , 13915, 13890, 13889, 13914, 14231, 14229, 14203, 14230 -11002 , 14231, 13915, 13890, 14229, 14253, 13935, 13916, 14232 -11003 , 13916, 13891, 13865, 13890, 14232, 14205, 14204, 14229 -11004 , 7586, 7591, 7705, 7702, 13916, 13935, 14253, 14232 -11005 , 7703, 7706, 7592, 7588, 13894, 13918, 13937, 13917 -11006 , 7704, 7707, 7706, 7703, 14233, 14254, 13918, 13894 -11007 , 13920, 13898, 13896, 13919, 14235, 14209, 14208, 14234 -11008 , 13919, 13896, 13894, 13918, 14234, 14208, 14233, 14254 -11009 , 13921, 13899, 13898, 13920, 14236, 14210, 14209, 14235 -11010 , 13922, 13900, 13899, 13921, 14237, 14211, 14210, 14236 -11011 , 13923, 13901, 13900, 13922, 14238, 14212, 14211, 14237 -11012 , 13924, 13902, 13901, 13923, 14239, 14213, 14212, 14238 -11013 , 13925, 13903, 13902, 13924, 14240, 14214, 14213, 14239 -11014 , 10168, 13904, 13903, 13925, 14241, 14215, 14214, 14240 -11015 , 13904, 10153, 10152, 10168, 10119, 10108, 10122, 10120 -11016 , 10152, 10153, 13904, 10168, 14242, 14216, 14215, 14241 -11017 , 10155, 10154, 10153, 10152, 10210, 14217, 14216, 14242 -11018 , 10156, 10144, 10154, 10155, 10212, 14218, 14217, 10210 -11019 , 10158, 10148, 10144, 10156, 10213, 14219, 14218, 10212 -11020 , 13813, 14243, 12739, 12650, 14244, 14255, 12744, 12741 -11021 , 10727, 13905, 10721, 10722, 10731, 14221, 14220, 10725 -11022 , 13927, 13906, 13905, 10727, 14245, 14222, 14221, 10731 -11023 , 13928, 13907, 13906, 13927, 14246, 14223, 14222, 14245 -11024 , 13929, 13910, 13907, 13928, 14247, 14225, 14223, 14246 -11025 , 13930, 13911, 13910, 13929, 14248, 14226, 14225, 14247 -11026 , 13931, 13912, 13911, 13930, 14249, 14227, 14226, 14248 -11027 , 13932, 13913, 13912, 13931, 14250, 14228, 14227, 14249 -11028 , 13933, 13914, 13913, 13932, 14251, 14230, 14228, 14250 -11029 , 13934, 13915, 13914, 13933, 14252, 14231, 14230, 14251 -11030 , 14252, 13934, 13915, 14231, 14269, 13953, 13935, 14253 -11031 , 7591, 7594, 7708, 7705, 13935, 13953, 14269, 14253 -11032 , 7706, 7598, 7595, 7592, 13918, 13938, 13954, 13937 -11033 , 7709, 7599, 7598, 7706, 13919, 13939, 13938, 13918 -11034 , 7707, 7710, 7709, 7706, 14254, 14234, 13919, 13918 -11035 , 7711, 7601, 7599, 7709, 13920, 13940, 13939, 13919 -11036 , 7710, 7712, 7711, 7709, 14234, 14235, 13920, 13919 -11037 , 7712, 7713, 7601, 7711, 14235, 14270, 13940, 13920 -11038 , 12744, 14255, 14243, 12739, 12835, 14688, 14256, 12746 -11039 , 12739, 14243, 13814, 12651, 12746, 14256, 13855, 12656 -11040 , 13942, 13922, 13921, 13941, 14258, 14237, 14236, 14257 -11041 , 13941, 13921, 13920, 13940, 14257, 14236, 14235, 14270 -11042 , 13943, 13923, 13922, 13942, 14259, 14238, 14237, 14258 -11043 , 13944, 13924, 13923, 13943, 14260, 14239, 14238, 14259 -11044 , 13945, 13925, 13924, 13944, 14261, 14240, 14239, 14260 -11045 , 10169, 10168, 13925, 13945, 14262, 14241, 14240, 14261 -11046 , 10170, 10152, 10168, 10169, 10219, 14242, 14241, 14262 -11047 , 10735, 13927, 10727, 10728, 10736, 14245, 10731, 10730 -11048 , 10774, 13928, 13927, 10735, 10756, 14246, 14245, 10736 -11049 , 13947, 13929, 13928, 10774, 14263, 14247, 14246, 10756 -11050 , 13948, 13930, 13929, 13947, 14264, 14248, 14247, 14263 -11051 , 13949, 13931, 13930, 13948, 14265, 14249, 14248, 14264 -11052 , 7580, 7714, 7162, 7149, 14256, 14276, 12750, 12746 -11053 , 13950, 13932, 13931, 13949, 14266, 14250, 14249, 14265 -11054 , 13951, 13933, 13932, 13950, 14267, 14251, 14250, 14266 -11055 , 13952, 13934, 13933, 13951, 14268, 14252, 14251, 14267 -11056 , 14268, 13952, 13934, 14252, 14283, 13967, 13953, 14269 -11057 , 7594, 7597, 7715, 7708, 13953, 13967, 14283, 14269 -11058 , 7716, 7605, 7602, 7601, 13941, 13955, 13969, 13940 -11059 , 7713, 7717, 7716, 7601, 14270, 14257, 13941, 13940 -11060 , 7717, 7718, 7605, 7716, 14257, 14284, 13955, 13941 -11061 , 13957, 13943, 13942, 13956, 14272, 14259, 14258, 14271 -11062 , 13956, 13942, 13941, 13955, 14271, 14258, 14257, 14284 -11063 , 13958, 13944, 13943, 13957, 14273, 14260, 14259, 14272 -11064 , 13959, 13945, 13944, 13958, 14274, 14261, 14260, 14273 -11065 , 10181, 10169, 13945, 13959, 14275, 14262, 14261, 14274 -11066 , 10182, 10170, 10169, 10181, 10228, 10219, 14262, 14275 -11067 , 7714, 7719, 7165, 7162, 14276, 14691, 12841, 12750 -11068 , 13961, 13947, 10774, 10746, 14277, 14263, 10756, 10747 -11069 , 13962, 13948, 13947, 13961, 14278, 14264, 14263, 14277 -11070 , 13963, 13949, 13948, 13962, 14279, 14265, 14264, 14278 -11071 , 13964, 13950, 13949, 13963, 14280, 14266, 14265, 14279 -11072 , 13965, 13951, 13950, 13964, 14281, 14267, 14266, 14280 -11073 , 13966, 13952, 13951, 13965, 14282, 14268, 14267, 14281 -11074 , 13980, 13967, 13952, 13966, 14295, 14283, 14268, 14282 -11075 , 7597, 7604, 7720, 7715, 13967, 13980, 14295, 14283 -11076 , 7718, 7721, 7606, 7605, 14284, 14271, 13956, 13955 -11077 , 7721, 7722, 7609, 7606, 14271, 14272, 13957, 13956 -11078 , 7722, 7723, 7610, 7609, 14272, 14297, 13981, 13957 -11079 , 13958, 13959, 14274, 14273, 13971, 13972, 14286, 14285 -11080 , 13971, 13958, 13957, 13981, 14285, 14273, 14272, 14297 -11081 , 13959, 10181, 14275, 14274, 13972, 10227, 14288, 14286 -11082 , 7724, 7585, 7155, 7168, 14287, 14296, 12756, 12754 -11083 , 7168, 7171, 7725, 7724, 12754, 12845, 14726, 14287 -11084 , 13974, 13961, 10746, 10775, 14289, 14277, 10747, 10767 -11085 , 13975, 13962, 13961, 13974, 14290, 14278, 14277, 14289 -11086 , 13976, 13963, 13962, 13975, 14291, 14279, 14278, 14290 -11087 , 13977, 13964, 13963, 13976, 14292, 14280, 14279, 14291 -11088 , 13978, 13965, 13964, 13977, 14293, 14281, 14280, 14292 -11089 , 13979, 13966, 13965, 13978, 14294, 14282, 14281, 14293 -11090 , 13996, 13980, 13966, 13979, 14315, 14295, 14282, 14294 -11091 , 7604, 7611, 7726, 7720, 13980, 13996, 14315, 14295 -11092 , 7723, 7727, 7612, 7610, 14297, 14285, 13971, 13981 -11093 , 7727, 7728, 7613, 7612, 14285, 14286, 13972, 13971 -11094 , 7613, 7729, 7730, 7614, 13972, 14298, 14299, 10227 -11095 , 7728, 7731, 7729, 7613, 14286, 14318, 14298, 13972 -11096 , 7614, 7730, 7618, 7615, 10227, 14299, 13997, 10191 -11097 , 10193, 10194, 10231, 10230, 13998, 10612, 14301, 14300 -11098 , 10190, 10192, 10194, 10193, 13983, 10620, 10612, 13998 -11099 , 10191, 10193, 10230, 10229, 13997, 13998, 14300, 14623 -11100 , 10188, 10190, 10193, 10191, 13982, 13983, 13998, 13997 -11101 , 14301, 10612, 10194, 10231, 10615, 10611, 10258, 10613 -11102 , 13985, 10623, 10608, 10628, 14303, 10741, 10610, 14302 -11103 , 13986, 10742, 10623, 13985, 14304, 10743, 10741, 14303 -11104 , 13987, 10744, 10742, 13986, 14305, 10745, 10743, 14304 -11105 , 13988, 10748, 10744, 13987, 14306, 10749, 10745, 14305 -11106 , 13989, 10775, 10748, 13988, 14307, 10767, 10749, 14306 -11107 , 13990, 13974, 10775, 13989, 14308, 14289, 10767, 14307 -11108 , 13991, 13975, 13974, 13990, 14309, 14290, 14289, 14308 -11109 , 13992, 13976, 13975, 13991, 14310, 14291, 14290, 14309 -11110 , 13993, 13977, 13976, 13992, 14311, 14292, 14291, 14310 -11111 , 13994, 13978, 13977, 13993, 14314, 14293, 14292, 14311 -11112 , 14312, 13909, 12669, 12760, 14313, 14331, 12766, 12763 -11113 , 14312, 14313, 12763, 12760, 14296, 14748, 12849, 12756 -11114 , 13895, 14312, 12760, 12662, 13879, 14296, 12756, 12660 -11115 , 13995, 13979, 13978, 13994, 14316, 14294, 14293, 14314 -11116 , 14004, 13996, 13979, 13995, 14334, 14315, 14294, 14316 -11117 , 7611, 7621, 7732, 7726, 13996, 14004, 14334, 14315 -11118 , 7729, 7733, 7734, 7730, 14298, 14317, 14319, 14299 -11119 , 7731, 7735, 7733, 7729, 14318, 14335, 14317, 14298 -11120 , 7730, 7734, 7736, 7618, 14299, 14319, 14320, 13997 -11121 , 7618, 7736, 7737, 7622, 13997, 14320, 14321, 13998 -11122 , 7622, 7737, 7738, 7623, 13998, 14321, 14323, 10612 -11123 , 12307, 14322, 7696, 7081, 12386, 12525, 7739, 7083 -11124 , 7623, 7738, 7740, 7624, 10612, 14323, 14324, 10611 -11125 , 7624, 7740, 7741, 7625, 10611, 14324, 14325, 10614 -11126 , 7625, 7741, 7627, 7626, 10614, 14325, 11739, 10626 -11127 , 11526, 13985, 10628, 11524, 14327, 14303, 14302, 14326 -11128 , 10626, 10628, 14302, 10627, 11739, 11524, 14326, 14344 -11129 , 11528, 13986, 13985, 11526, 11579, 14304, 14303, 14327 -11130 , 11530, 13987, 13986, 11528, 11581, 14305, 14304, 11579 -11131 , 11532, 13988, 13987, 11530, 11583, 14306, 14305, 11581 -11132 , 11534, 13989, 13988, 11532, 11585, 14307, 14306, 11583 -11133 , 11536, 13990, 13989, 11534, 14328, 14308, 14307, 11585 -11134 , 14000, 13991, 13990, 11536, 14329, 14309, 14308, 14328 -11135 , 14001, 13992, 13991, 14000, 14330, 14310, 14309, 14329 -11136 , 14002, 13993, 13992, 14001, 14332, 14311, 14310, 14330 -11137 , 13909, 13926, 12672, 12669, 14331, 14345, 12769, 12766 -11138 , 14003, 13994, 13993, 14002, 14333, 14314, 14311, 14332 -11139 , 14333, 14003, 13994, 14314, 14346, 14005, 13995, 14316 -11140 , 7621, 7628, 7633, 7742, 14004, 14009, 14005, 13995 -11141 , 7743, 7732, 7621, 7742, 14316, 14334, 14004, 13995 -11142 , 7742, 7633, 7744, 7743, 13995, 14005, 14346, 14316 -11143 , 7735, 7745, 7734, 7733, 14335, 14337, 14319, 14317 -11144 , 7734, 7746, 7747, 7736, 14319, 14336, 14338, 14320 -11145 , 7745, 7748, 7746, 7734, 14337, 14348, 14336, 14319 -11146 , 7736, 7747, 7749, 7737, 14320, 14338, 14339, 14321 -11147 , 7750, 7751, 7738, 7737, 14340, 14341, 14323, 14321 -11148 , 7737, 7749, 7752, 7750, 14321, 14339, 14350, 14340 -11149 , 7751, 7753, 7740, 7738, 14341, 14342, 14324, 14323 -11150 , 7753, 7754, 7741, 7740, 14342, 14343, 14325, 14324 -11151 , 7754, 7755, 7627, 7741, 14343, 14344, 11739, 14325 -11152 , 7755, 7756, 7629, 7627, 14344, 14326, 11524, 11739 -11153 , 7756, 7757, 7630, 7629, 14326, 11627, 11537, 11524 -11154 , 11526, 11525, 11586, 14327, 11524, 11537, 11627, 14326 -11155 , 11536, 14000, 11543, 11535, 11466, 11472, 11474, 11473 -11156 , 11543, 14000, 11536, 11535, 11595, 14329, 14328, 11591 -11157 , 11547, 14001, 14000, 11543, 11598, 14330, 14329, 11595 -11158 , 13926, 13936, 12675, 12672, 14345, 14352, 12772, 12769 -11159 , 11596, 14002, 14001, 11547, 11642, 14332, 14330, 11598 -11160 , 14002, 14003, 14333, 14332, 11596, 14008, 14347, 11642 -11161 , 14010, 14005, 14003, 14008, 14351, 14346, 14333, 14347 -11162 , 7633, 7634, 7758, 7744, 14005, 14010, 14351, 14346 -11163 , 7748, 7759, 7747, 7746, 14348, 14349, 14338, 14336 -11164 , 7759, 7752, 7749, 7747, 14349, 14350, 14339, 14338 -11165 , 7761, 7762, 7639, 7638, 11642, 14347, 14008, 11596 -11166 , 7762, 7758, 7634, 7639, 14347, 14351, 14010, 14008 -11167 , 13936, 13946, 12678, 12675, 14352, 14353, 12775, 12772 -11168 , 13946, 13960, 12681, 12678, 14353, 14354, 12778, 12775 -11169 , 7664, 7778, 7666, 7665, 14015, 14033, 14031, 14014 -11170 , 7667, 7779, 7778, 7664, 14016, 14032, 14033, 14015 -11171 , 7668, 7780, 7779, 7667, 14017, 14035, 14032, 14016 -11172 , 7669, 7781, 7780, 7668, 14018, 14037, 14035, 14017 -11173 , 13960, 13968, 12684, 12681, 14354, 10897, 10900, 12778 -11174 , 7670, 7782, 7781, 7669, 14019, 14039, 14037, 14018 -11175 , 7670, 7671, 7783, 7784, 14019, 14020, 14356, 14355 -11176 , 7784, 7785, 7782, 7670, 14355, 14371, 14039, 14019 -11177 , 7671, 7672, 7786, 7783, 14020, 14021, 14357, 14356 -11178 , 7672, 7673, 7787, 7786, 14021, 14022, 14358, 14357 -11179 , 7673, 7674, 7788, 7787, 14022, 14023, 14359, 14358 -11180 , 7674, 7675, 7789, 7788, 14023, 14024, 14360, 14359 -11181 , 7675, 7676, 7790, 7789, 14024, 14025, 14361, 14360 -11182 , 7676, 7791, 7792, 7790, 14025, 14058, 14362, 14361 -11183 , 7793, 7794, 7795, 7791, 14060, 14056, 14053, 14058 -11184 , 7791, 7795, 7796, 7792, 14058, 14053, 14384, 14362 -11185 , 7797, 7798, 7794, 7793, 14363, 14061, 14056, 14060 -11186 , 7678, 7799, 7680, 7679, 14028, 14065, 14063, 14027 -11187 , 7681, 7800, 7799, 7678, 14029, 14064, 14065, 14028 -11188 , 7681, 7682, 7801, 7802, 14029, 14030, 14365, 14364 -11189 , 7802, 7803, 7800, 7681, 14364, 14391, 14064, 14029 -11190 , 7682, 7666, 7804, 7801, 14030, 14031, 14366, 14365 -11191 , 7666, 7778, 7805, 7804, 14031, 14033, 14367, 14366 -11192 , 7778, 7779, 7806, 7805, 14033, 14032, 14368, 14367 -11193 , 7779, 7780, 7807, 7806, 14032, 14035, 14369, 14368 -11194 , 7780, 7781, 7808, 7807, 14035, 14037, 14370, 14369 -11195 , 7781, 7782, 7785, 7808, 14037, 14039, 14371, 14370 -11196 , 13968, 13973, 12687, 12684, 10897, 10903, 10901, 10900 -11197 , 14046, 14043, 14041, 14044, 14376, 14372, 14373, 14374 -11198 , 14043, 14021, 14020, 14041, 14372, 14357, 14356, 14373 -11199 , 14044, 14041, 14039, 14042, 14374, 14373, 14371, 14403 -11200 , 14041, 14020, 14019, 14039, 14373, 14356, 14355, 14371 -11201 , 14048, 14045, 14043, 14046, 14378, 14375, 14372, 14376 -11202 , 14045, 14022, 14021, 14043, 14375, 14358, 14357, 14372 -11203 , 14050, 14047, 14045, 14048, 14380, 14377, 14375, 14378 -11204 , 14047, 14023, 14022, 14045, 14377, 14359, 14358, 14375 -11205 , 14052, 14049, 14047, 14050, 14382, 14379, 14377, 14380 -11206 , 14049, 14024, 14023, 14047, 14379, 14360, 14359, 14377 -11207 , 14054, 14051, 14049, 14052, 14383, 14381, 14379, 14382 -11208 , 14051, 14025, 14024, 14049, 14381, 14361, 14360, 14379 -11209 , 14057, 14053, 14051, 14054, 14411, 14384, 14381, 14383 -11210 , 14053, 14058, 14025, 14051, 14384, 14362, 14361, 14381 -11211 , 7795, 7794, 7809, 7796, 14053, 14056, 14385, 14384 -11212 , 7794, 7798, 7810, 7809, 14056, 14061, 14386, 14385 -11213 , 7798, 7811, 7812, 7810, 14061, 14090, 14388, 14386 -11214 , 7813, 7814, 7815, 7811, 14387, 14091, 14087, 14090 -11215 , 7811, 7815, 7816, 7812, 14090, 14087, 14418, 14388 -11216 , 7680, 7817, 7685, 7684, 14063, 14093, 14092, 14062 -11217 , 7680, 7799, 7818, 7819, 14063, 14065, 14390, 14389 -11218 , 7819, 7820, 7817, 7680, 14389, 14422, 14093, 14063 -11219 , 7799, 7800, 7803, 7818, 14065, 14064, 14391, 14390 -11220 , 14071, 14069, 14067, 14070, 14396, 14392, 14393, 14394 -11221 , 14069, 14031, 14030, 14067, 14392, 14366, 14365, 14393 -11222 , 14070, 14067, 14064, 14068, 14394, 14393, 14391, 14423 -11223 , 14067, 14030, 14029, 14064, 14393, 14365, 14364, 14391 -11224 , 14072, 14034, 14069, 14071, 14398, 14395, 14392, 14396 -11225 , 14034, 14033, 14031, 14069, 14395, 14367, 14366, 14392 -11226 , 14073, 14036, 14034, 14072, 14400, 14397, 14395, 14398 -11227 , 14036, 14032, 14033, 14034, 14397, 14368, 14367, 14395 -11228 , 14074, 14038, 14036, 14073, 14402, 14399, 14397, 14400 -11229 , 14038, 14035, 14032, 14036, 14399, 14369, 14368, 14397 -11230 , 13973, 13984, 12690, 12687, 10903, 10905, 10907, 10901 -11231 , 14075, 14040, 14038, 14074, 14404, 14401, 14399, 14402 -11232 , 14401, 14040, 14038, 14399, 14370, 14037, 14035, 14369 -11233 , 14076, 14042, 14040, 14075, 14405, 14403, 14401, 14404 -11234 , 14403, 14042, 14040, 14401, 14371, 14039, 14037, 14370 -11235 , 14077, 14044, 14042, 14076, 14406, 14374, 14403, 14405 -11236 , 14078, 14046, 14044, 14077, 14407, 14376, 14374, 14406 -11237 , 14079, 14048, 14046, 14078, 14408, 14378, 14376, 14407 -11238 , 14081, 14050, 14048, 14079, 14409, 14380, 14378, 14408 -11239 , 14082, 14052, 14050, 14081, 14410, 14382, 14380, 14409 -11240 , 14083, 14054, 14052, 14082, 14412, 14383, 14382, 14410 -11241 , 14084, 14057, 14054, 14083, 14414, 14411, 14383, 14412 -11242 , 14086, 14059, 14057, 14084, 14416, 14413, 14411, 14414 -11243 , 14413, 14059, 14057, 14411, 14385, 14056, 14053, 14384 -11244 , 14088, 14085, 14059, 14086, 14417, 14415, 14413, 14416 -11245 , 14085, 14061, 14056, 14059, 14415, 14386, 14385, 14413 -11246 , 14089, 14087, 14085, 14088, 14442, 14418, 14415, 14417 -11247 , 14087, 14090, 14061, 14085, 14418, 14388, 14386, 14415 -11248 , 7815, 7814, 7821, 7816, 14087, 14091, 14420, 14418 -11249 , 7822, 7823, 7824, 7814, 14419, 14117, 14114, 14091 -11250 , 7814, 7824, 7825, 7821, 14091, 14114, 14445, 14420 -11251 , 7685, 7817, 7820, 7826, 14092, 14093, 14422, 14421 -11252 , 7826, 7827, 7687, 7685, 14421, 14448, 14119, 14092 -11253 , 14096, 14068, 14066, 14095, 14426, 14423, 14424, 14425 -11254 , 14068, 14064, 14065, 14066, 14423, 14391, 14390, 14424 -11255 , 14095, 14066, 14093, 14094, 14425, 14424, 14422, 14449 -11256 , 14066, 14065, 14063, 14093, 14424, 14390, 14389, 14422 -11257 , 14097, 14070, 14068, 14096, 14427, 14394, 14423, 14426 -11258 , 14098, 14071, 14070, 14097, 14428, 14396, 14394, 14427 -11259 , 13984, 13999, 12693, 12690, 10905, 10965, 10908, 10907 -11260 , 14099, 14072, 14071, 14098, 14429, 14398, 14396, 14428 -11261 , 14100, 14073, 14072, 14099, 14430, 14400, 14398, 14429 -11262 , 14101, 14074, 14073, 14100, 14431, 14402, 14400, 14430 -11263 , 14102, 14075, 14074, 14101, 14432, 14404, 14402, 14431 -11264 , 14104, 14076, 14075, 14102, 14433, 14405, 14404, 14432 -11265 , 14105, 14077, 14076, 14104, 14434, 14406, 14405, 14433 -11266 , 14106, 14078, 14077, 14105, 14435, 14407, 14406, 14434 -11267 , 14107, 14079, 14078, 14106, 14436, 14408, 14407, 14435 -11268 , 14108, 14081, 14079, 14107, 14437, 14409, 14408, 14436 -11269 , 14109, 14082, 14081, 14108, 14438, 14410, 14409, 14437 -11270 , 14110, 14083, 14082, 14109, 14439, 14412, 14410, 14438 -11271 , 14111, 14084, 14083, 14110, 14440, 14414, 14412, 14439 -11272 , 14112, 14086, 14084, 14111, 14441, 14416, 14414, 14440 -11273 , 14113, 14088, 14086, 14112, 14443, 14417, 14416, 14441 -11274 , 14115, 14089, 14088, 14113, 14444, 14442, 14417, 14443 -11275 , 14116, 14114, 14089, 14115, 14470, 14445, 14442, 14444 -11276 , 14114, 14091, 14087, 14089, 14445, 14420, 14418, 14442 -11277 , 7824, 7823, 7828, 7825, 14114, 14117, 14447, 14445 -11278 , 7829, 7691, 7830, 7823, 14446, 14144, 14141, 14117 -11279 , 7823, 7830, 7831, 7828, 14117, 14141, 14473, 14447 -11280 , 7687, 7832, 7689, 7688, 14119, 14149, 14148, 14118 -11281 , 13999, 14006, 12696, 12693, 10965, 14469, 12789, 10908 -11282 , 7827, 7833, 7832, 7687, 14448, 14475, 14149, 14119 -11283 , 14121, 14095, 14094, 14120, 14451, 14425, 14449, 14450 -11284 , 14120, 14094, 14119, 14149, 14450, 14449, 14448, 14475 -11285 , 14094, 14093, 14092, 14119, 14449, 14422, 14421, 14448 -11286 , 14122, 14096, 14095, 14121, 14452, 14426, 14425, 14451 -11287 , 14123, 14097, 14096, 14122, 14453, 14427, 14426, 14452 -11288 , 14125, 14098, 14097, 14123, 14454, 14428, 14427, 14453 -11289 , 14126, 14099, 14098, 14125, 14455, 14429, 14428, 14454 -11290 , 14127, 14100, 14099, 14126, 14456, 14430, 14429, 14455 -11291 , 14128, 14101, 14100, 14127, 14457, 14431, 14430, 14456 -11292 , 14129, 14102, 14101, 14128, 14458, 14432, 14431, 14457 -11293 , 14130, 14104, 14102, 14129, 14459, 14433, 14432, 14458 -11294 , 14131, 14105, 14104, 14130, 14460, 14434, 14433, 14459 -11295 , 14132, 14106, 14105, 14131, 14461, 14435, 14434, 14460 -11296 , 14133, 14107, 14106, 14132, 14462, 14436, 14435, 14461 -11297 , 14134, 14108, 14107, 14133, 14463, 14437, 14436, 14462 -11298 , 14135, 14109, 14108, 14134, 14464, 14438, 14437, 14463 -11299 , 14136, 14110, 14109, 14135, 14465, 14439, 14438, 14464 -11300 , 14137, 14111, 14110, 14136, 14466, 14440, 14439, 14465 -11301 , 14138, 14112, 14111, 14137, 14467, 14441, 14440, 14466 -11302 , 14139, 14113, 14112, 14138, 14468, 14443, 14441, 14467 -11303 , 14140, 14115, 14113, 14139, 14471, 14444, 14443, 14468 -11304 , 14006, 14011, 12699, 12696, 14469, 14489, 12793, 12789 -11305 , 14142, 14116, 14115, 14140, 14472, 14470, 14444, 14471 -11306 , 14143, 14141, 14116, 14142, 14498, 14473, 14470, 14472 -11307 , 14141, 14117, 14114, 14116, 14473, 14447, 14445, 14470 -11308 , 7830, 7691, 7834, 7831, 14141, 14144, 14474, 14473 -11309 , 7690, 7693, 7835, 7691, 14145, 14177, 14174, 14144 -11310 , 7691, 7835, 7836, 7834, 14144, 14174, 14501, 14474 -11311 , 7689, 7837, 7695, 7694, 14148, 14179, 14178, 14147 -11312 , 7832, 7838, 7837, 7689, 14149, 14150, 14179, 14148 -11313 , 7833, 7839, 7838, 7832, 14475, 14503, 14150, 14149 -11314 , 14152, 14121, 14120, 14151, 14478, 14451, 14450, 14476 -11315 , 14151, 14120, 14149, 14150, 14476, 14450, 14475, 14503 -11316 , 7840, 7841, 7089, 7088, 14477, 14639, 12315, 12311 -11317 , 14477, 12311, 7088, 7840, 12950, 12401, 7090, 7842 -11318 , 14153, 14122, 14121, 14152, 14479, 14452, 14451, 14478 -11319 , 14154, 14123, 14122, 14153, 14480, 14453, 14452, 14479 -11320 , 14155, 14125, 14123, 14154, 14481, 14454, 14453, 14480 -11321 , 14156, 14126, 14125, 14155, 14482, 14455, 14454, 14481 -11322 , 14157, 14127, 14126, 14156, 14483, 14456, 14455, 14482 -11323 , 14158, 14128, 14127, 14157, 14484, 14457, 14456, 14483 -11324 , 14159, 14129, 14128, 14158, 14485, 14458, 14457, 14484 -11325 , 14160, 14130, 14129, 14159, 14486, 14459, 14458, 14485 -11326 , 14161, 14131, 14130, 14160, 14487, 14460, 14459, 14486 -11327 , 14162, 14132, 14131, 14161, 14488, 14461, 14460, 14487 -11328 , 14163, 14133, 14132, 14162, 14490, 14462, 14461, 14488 -11329 , 14011, 14012, 12702, 12699, 14489, 14509, 12796, 12793 -11330 , 14164, 14134, 14133, 14163, 14491, 14463, 14462, 14490 -11331 , 14165, 14135, 14134, 14164, 14492, 14464, 14463, 14491 -11332 , 14166, 14136, 14135, 14165, 14493, 14465, 14464, 14492 -11333 , 14168, 14137, 14136, 14166, 14494, 14466, 14465, 14493 -11334 , 14169, 14138, 14137, 14168, 14495, 14467, 14466, 14494 -11335 , 14170, 14139, 14138, 14169, 14496, 14468, 14467, 14495 -11336 , 14171, 14140, 14139, 14170, 14497, 14471, 14468, 14496 -11337 , 14172, 14142, 14140, 14171, 14499, 14472, 14471, 14497 -11338 , 14175, 14143, 14142, 14172, 14500, 14498, 14472, 14499 -11339 , 14176, 14174, 14143, 14175, 14526, 14501, 14498, 14500 -11340 , 14174, 14144, 14141, 14143, 14501, 14474, 14473, 14498 -11341 , 7835, 7693, 7843, 7836, 14174, 14177, 14502, 14501 -11342 , 7693, 7698, 7844, 7843, 14177, 14204, 14529, 14502 -11343 , 7837, 7845, 7700, 7695, 14179, 14180, 14206, 14178 -11344 , 7838, 7846, 7845, 7837, 14150, 14181, 14180, 14179 -11345 , 7839, 7847, 7846, 7838, 14503, 14531, 14181, 14150 -11346 , 14183, 14152, 14151, 14182, 14505, 14478, 14476, 14504 -11347 , 14182, 14151, 14150, 14181, 14504, 14476, 14503, 14531 -11348 , 14184, 14153, 14152, 14183, 14506, 14479, 14478, 14505 -11349 , 14185, 14154, 14153, 14184, 14507, 14480, 14479, 14506 -11350 , 14186, 14155, 14154, 14185, 14508, 14481, 14480, 14507 -11351 , 14187, 14156, 14155, 14186, 14510, 14482, 14481, 14508 -11352 , 14012, 14013, 12705, 12702, 14509, 14530, 12799, 12796 -11353 , 14188, 14157, 14156, 14187, 14511, 14483, 14482, 14510 -11354 , 14190, 14158, 14157, 14188, 14512, 14484, 14483, 14511 -11355 , 14191, 14159, 14158, 14190, 14513, 14485, 14484, 14512 -11356 , 14192, 14160, 14159, 14191, 14514, 14486, 14485, 14513 -11357 , 14193, 14161, 14160, 14192, 14515, 14487, 14486, 14514 -11358 , 10198, 14162, 14161, 14193, 14516, 14488, 14487, 14515 -11359 , 10200, 14163, 14162, 10198, 14517, 14490, 14488, 14516 -11360 , 14194, 14164, 14163, 10200, 14518, 14491, 14490, 14517 -11361 , 14195, 14165, 14164, 14194, 14519, 14492, 14491, 14518 -11362 , 14196, 14166, 14165, 14195, 14520, 14493, 14492, 14519 -11363 , 14197, 14168, 14166, 14196, 14521, 14494, 14493, 14520 -11364 , 14198, 14169, 14168, 14197, 14522, 14495, 14494, 14521 -11365 , 14199, 14170, 14169, 14198, 14523, 14496, 14495, 14522 -11366 , 14200, 14171, 14170, 14199, 14524, 14497, 14496, 14523 -11367 , 14201, 14172, 14171, 14200, 14525, 14499, 14497, 14524 -11368 , 14202, 14175, 14172, 14201, 14527, 14500, 14499, 14525 -11369 , 14203, 14176, 14175, 14202, 14528, 14526, 14500, 14527 -11370 , 14229, 14204, 14176, 14203, 14556, 14529, 14526, 14528 -11371 , 14204, 14177, 14174, 14176, 14529, 14502, 14501, 14526 -11372 , 7701, 7702, 7848, 7698, 14205, 14232, 14229, 14204 -11373 , 7698, 7848, 7849, 7844, 14204, 14229, 14556, 14529 -11374 , 14013, 14026, 12708, 12705, 14530, 14549, 12802, 12799 -11375 , 7845, 7850, 7704, 7700, 14180, 14208, 14233, 14206 -11376 , 7846, 7851, 7850, 7845, 14181, 14209, 14208, 14180 -11377 , 7847, 7852, 7851, 7846, 14531, 14558, 14209, 14181 -11378 , 14211, 14183, 14182, 14210, 14533, 14505, 14504, 14532 -11379 , 14210, 14182, 14181, 14209, 14532, 14504, 14531, 14558 -11380 , 14212, 14184, 14183, 14211, 14534, 14506, 14505, 14533 -11381 , 14213, 14185, 14184, 14212, 14535, 14507, 14506, 14534 -11382 , 14214, 14186, 14185, 14213, 14536, 14508, 14507, 14535 -11383 , 14215, 14187, 14186, 14214, 14537, 14510, 14508, 14536 -11384 , 14216, 14188, 14187, 14215, 14538, 14511, 14510, 14537 -11385 , 14217, 14190, 14188, 14216, 14539, 14512, 14511, 14538 -11386 , 14218, 14191, 14190, 14217, 14540, 14513, 14512, 14539 -11387 , 14219, 14192, 14191, 14218, 14541, 14514, 14513, 14540 -11388 , 10201, 14193, 14192, 14219, 14542, 14515, 14514, 14541 -11389 , 14193, 10198, 10197, 10201, 10151, 10195, 10161, 10150 -11390 , 10197, 10198, 14193, 10201, 14543, 14516, 14515, 14542 -11391 , 10199, 10200, 10198, 10197, 14544, 14517, 14516, 14543 -11392 , 10200, 14194, 10206, 10199, 10196, 10720, 10204, 10165 -11393 , 10206, 14194, 10200, 10199, 14545, 14518, 14517, 14544 -11394 , 14220, 14195, 14194, 10206, 14546, 14519, 14518, 14545 -11395 , 14221, 14196, 14195, 14220, 14547, 14520, 14519, 14546 -11396 , 14222, 14197, 14196, 14221, 14548, 14521, 14520, 14547 -11397 , 14223, 14198, 14197, 14222, 14550, 14522, 14521, 14548 -11398 , 14026, 14055, 12711, 12708, 14549, 14567, 12805, 12802 -11399 , 14225, 14199, 14198, 14223, 14551, 14523, 14522, 14550 -11400 , 14226, 14200, 14199, 14225, 14552, 14524, 14523, 14551 -11401 , 14227, 14201, 14200, 14226, 14553, 14525, 14524, 14552 -11402 , 14228, 14202, 14201, 14227, 14554, 14527, 14525, 14553 -11403 , 14230, 14203, 14202, 14228, 14555, 14528, 14527, 14554 -11404 , 14231, 14229, 14203, 14230, 14578, 14556, 14528, 14555 -11405 , 7848, 7702, 7853, 7849, 14229, 14232, 14557, 14556 -11406 , 7702, 7705, 7854, 7853, 14232, 14253, 14581, 14557 -11407 , 7850, 7710, 7707, 7704, 14208, 14234, 14254, 14233 -11408 , 7851, 7712, 7710, 7850, 14209, 14235, 14234, 14208 -11409 , 7852, 7855, 7712, 7851, 14558, 14582, 14235, 14209 -11410 , 14237, 14211, 14210, 14236, 14560, 14533, 14532, 14559 -11411 , 14236, 14210, 14209, 14235, 14559, 14532, 14558, 14582 -11412 , 14238, 14212, 14211, 14237, 14561, 14534, 14533, 14560 -11413 , 14239, 14213, 14212, 14238, 14562, 14535, 14534, 14561 -11414 , 14240, 14214, 14213, 14239, 14563, 14536, 14535, 14562 -11415 , 14241, 14215, 14214, 14240, 14564, 14537, 14536, 14563 -11416 , 14242, 14216, 14215, 14241, 14565, 14538, 14537, 14564 -11417 , 10210, 14217, 14216, 14242, 14566, 14539, 14538, 14565 -11418 , 10212, 14218, 14217, 10210, 10233, 14540, 14539, 14566 -11419 , 10213, 14219, 14218, 10212, 10235, 14541, 14540, 10233 -11420 , 14055, 14080, 12714, 12711, 14567, 14583, 12808, 12805 -11421 , 14219, 10201, 10202, 10213, 10148, 10150, 10162, 10158 -11422 , 10202, 10201, 14219, 10213, 10237, 14542, 14541, 10235 -11423 , 10203, 10197, 10201, 10202, 10239, 14543, 14542, 10237 -11424 , 10207, 10199, 10197, 10203, 14568, 14544, 14543, 10239 -11425 , 10208, 10206, 10199, 10207, 14569, 14545, 14544, 14568 -11426 , 10206, 14220, 10725, 10208, 10204, 10721, 10722, 10205 -11427 , 10725, 14220, 10206, 10208, 14570, 14546, 14545, 14569 -11428 , 10731, 14221, 14220, 10725, 14571, 14547, 14546, 14570 -11429 , 14245, 14222, 14221, 10731, 14572, 14548, 14547, 14571 -11430 , 14246, 14223, 14222, 14245, 14573, 14550, 14548, 14572 -11431 , 14247, 14225, 14223, 14246, 14574, 14551, 14550, 14573 -11432 , 14248, 14226, 14225, 14247, 14575, 14552, 14551, 14574 -11433 , 14249, 14227, 14226, 14248, 14576, 14553, 14552, 14575 -11434 , 14250, 14228, 14227, 14249, 14577, 14554, 14553, 14576 -11435 , 14251, 14230, 14228, 14250, 14579, 14555, 14554, 14577 -11436 , 14252, 14231, 14230, 14251, 14580, 14578, 14555, 14579 -11437 , 14269, 14253, 14231, 14252, 14596, 14581, 14578, 14580 -11438 , 14253, 14232, 14229, 14231, 14581, 14557, 14556, 14578 -11439 , 7705, 7708, 7856, 7854, 14253, 14269, 14596, 14581 -11440 , 7857, 7717, 7713, 7712, 14236, 14257, 14270, 14235 -11441 , 7855, 7858, 7857, 7712, 14582, 14559, 14236, 14235 -11442 , 7858, 7859, 7717, 7857, 14559, 14598, 14257, 14236 -11443 , 14080, 14103, 12717, 12714, 14583, 14593, 12811, 12808 -11444 , 14237, 14238, 14561, 14560, 14258, 14259, 14585, 14584 -11445 , 14258, 14237, 14236, 14257, 14584, 14560, 14559, 14598 -11446 , 14260, 14239, 14238, 14259, 14586, 14562, 14561, 14585 -11447 , 14261, 14240, 14239, 14260, 14587, 14563, 14562, 14586 -11448 , 14262, 14241, 14240, 14261, 14588, 14564, 14563, 14587 -11449 , 10219, 14242, 14241, 14262, 14589, 14565, 14564, 14588 -11450 , 14242, 10210, 10209, 10219, 10152, 10155, 10172, 10170 -11451 , 10209, 10210, 14242, 10219, 10240, 14566, 14565, 14589 -11452 , 10726, 10208, 10207, 10218, 10751, 14569, 14568, 10245 -11453 , 10729, 10725, 10208, 10726, 10753, 14570, 14569, 10751 -11454 , 10730, 10731, 10725, 10729, 10755, 14571, 14570, 10753 -11455 , 10736, 14245, 10731, 10730, 10758, 14572, 14571, 10755 -11456 , 10756, 14246, 14245, 10736, 10776, 14573, 14572, 10758 -11457 , 14263, 14247, 14246, 10756, 14590, 14574, 14573, 10776 -11458 , 14264, 14248, 14247, 14263, 14591, 14575, 14574, 14590 -11459 , 14265, 14249, 14248, 14264, 14592, 14576, 14575, 14591 -11460 , 14266, 14250, 14249, 14265, 14594, 14577, 14576, 14592 -11461 , 14103, 14124, 12720, 12717, 14593, 14603, 12814, 12811 -11462 , 14267, 14251, 14250, 14266, 14595, 14579, 14577, 14594 -11463 , 14268, 14252, 14251, 14267, 14597, 14580, 14579, 14595 -11464 , 14283, 14269, 14252, 14268, 14609, 14596, 14580, 14597 -11465 , 7708, 7715, 7860, 7856, 14269, 14283, 14609, 14596 -11466 , 7861, 7721, 7718, 7717, 14258, 14271, 14284, 14257 -11467 , 7859, 7862, 7861, 7717, 14598, 14584, 14258, 14257 -11468 , 7863, 7722, 7721, 7861, 14259, 14272, 14271, 14258 -11469 , 7862, 7864, 7863, 7861, 14584, 14585, 14259, 14258 -11470 , 7864, 7865, 7722, 7863, 14585, 14610, 14272, 14259 -11471 , 14274, 14261, 14260, 14273, 14600, 14587, 14586, 14599 -11472 , 14273, 14260, 14259, 14272, 14599, 14586, 14585, 14610 -11473 , 14275, 14262, 14261, 14274, 14601, 14588, 14587, 14600 -11474 , 10228, 10219, 14262, 14275, 14602, 14589, 14588, 14601 -11475 , 10220, 10209, 10219, 10228, 10248, 10240, 14589, 14602 -11476 , 14124, 14146, 12723, 12720, 14603, 14615, 12817, 12814 -11477 , 14277, 14263, 10756, 10747, 14604, 14590, 10776, 10768 -11478 , 14278, 14264, 14263, 14277, 14605, 14591, 14590, 14604 -11479 , 14279, 14265, 14264, 14278, 14606, 14592, 14591, 14605 -11480 , 14280, 14266, 14265, 14279, 14607, 14594, 14592, 14606 -11481 , 14281, 14267, 14266, 14280, 14608, 14595, 14594, 14607 -11482 , 14282, 14268, 14267, 14281, 14621, 14597, 14595, 14608 -11483 , 7715, 7720, 7866, 7867, 14283, 14295, 14282, 14268 -11484 , 7868, 7860, 7715, 7867, 14597, 14609, 14283, 14268 -11485 , 7867, 7866, 7869, 7868, 14268, 14282, 14621, 14597 -11486 , 7870, 7727, 7723, 7722, 14273, 14285, 14297, 14272 -11487 , 7865, 7871, 7870, 7722, 14610, 14599, 14273, 14272 -11488 , 7871, 7872, 7727, 7870, 14599, 14622, 14285, 14273 -11489 , 14288, 14275, 14274, 14286, 14612, 14601, 14600, 14611 -11490 , 14286, 14274, 14273, 14285, 14611, 14600, 14599, 14622 -11491 , 14275, 10228, 10229, 14288, 10181, 10182, 10191, 10227 -11492 , 10229, 10228, 14275, 14288, 14613, 14602, 14601, 14612 -11493 , 10230, 10220, 10228, 10229, 14614, 10248, 14602, 14613 -11494 , 14146, 14167, 12726, 12723, 14615, 14627, 12820, 12817 -11495 , 14289, 14277, 10747, 10767, 14616, 14604, 10768, 10777 -11496 , 14290, 14278, 14277, 14289, 14617, 14605, 14604, 14616 -11497 , 14291, 14279, 14278, 14290, 14618, 14606, 14605, 14617 -11498 , 14292, 14280, 14279, 14291, 14619, 14607, 14606, 14618 -11499 , 14293, 14281, 14280, 14292, 14620, 14608, 14607, 14619 -11500 , 14294, 14282, 14281, 14293, 14645, 14621, 14608, 14620 -11501 , 7720, 7726, 7873, 7866, 14295, 14315, 14294, 14282 -11502 , 7866, 7873, 7874, 7869, 14282, 14294, 14645, 14621 -11503 , 7872, 7875, 7728, 7727, 14622, 14611, 14286, 14285 -11504 , 7875, 7876, 7731, 7728, 14611, 14646, 14318, 14286 -11505 , 14623, 10229, 14288, 14624, 14626, 14613, 14612, 14625 -11506 , 14288, 10229, 14623, 14624, 10227, 10191, 13997, 14299 -11507 , 14288, 14624, 14625, 14612, 14286, 14318, 14646, 14611 -11508 , 10227, 14299, 14624, 14288, 13972, 14298, 14318, 14286 -11509 , 14300, 10230, 10229, 14623, 14628, 14614, 14613, 14626 -11510 , 14167, 14189, 12730, 12726, 14627, 14649, 12823, 12820 -11511 , 14301, 10231, 10230, 14300, 14629, 10759, 14614, 14628 -11512 , 10615, 10613, 10231, 14301, 14630, 10760, 10759, 14629 -11513 , 10617, 10607, 10613, 10615, 14631, 10761, 10760, 14630 -11514 , 10627, 10609, 10607, 10617, 14632, 10762, 10761, 14631 -11515 , 14302, 10610, 10609, 10627, 14633, 10763, 10762, 14632 -11516 , 10609, 10610, 14302, 10627, 10606, 10608, 10628, 10626 -11517 , 14303, 10741, 10610, 14302, 14634, 10764, 10763, 14633 -11518 , 14304, 10743, 10741, 14303, 14635, 10765, 10764, 14634 -11519 , 14305, 10745, 10743, 14304, 14636, 10766, 10765, 14635 -11520 , 14306, 10749, 10745, 14305, 14637, 10769, 10766, 14636 -11521 , 14307, 10767, 10749, 14306, 14638, 10777, 10769, 14637 -11522 , 14308, 14289, 10767, 14307, 14640, 14616, 10777, 14638 -11523 , 7841, 7877, 7094, 7089, 14639, 14776, 12318, 12315 -11524 , 14309, 14290, 14289, 14308, 14641, 14617, 14616, 14640 -11525 , 14310, 14291, 14290, 14309, 14642, 14618, 14617, 14641 -11526 , 14311, 14292, 14291, 14310, 14643, 14619, 14618, 14642 -11527 , 14314, 14293, 14292, 14311, 14644, 14620, 14619, 14643 -11528 , 14316, 14294, 14293, 14314, 14666, 14645, 14620, 14644 -11529 , 7726, 7732, 7743, 7873, 14315, 14334, 14316, 14294 -11530 , 7873, 7743, 7878, 7874, 14294, 14316, 14666, 14645 -11531 , 7876, 7879, 7735, 7731, 14646, 14669, 14335, 14318 -11532 , 14647, 14623, 14624, 14337, 14650, 14626, 14625, 14648 -11533 , 14624, 14623, 14647, 14337, 14299, 13997, 14320, 14319 -11534 , 14624, 14337, 14648, 14625, 14318, 14335, 14669, 14646 -11535 , 14298, 14299, 14624, 14318, 14317, 14319, 14337, 14335 -11536 , 14189, 14207, 12733, 12730, 14649, 14670, 12826, 12823 -11537 , 14340, 14300, 14623, 14647, 14651, 14628, 14626, 14650 -11538 , 14623, 14300, 14340, 14647, 13997, 13998, 14321, 14320 -11539 , 14300, 14301, 14629, 14628, 14340, 14341, 14652, 14651 -11540 , 13998, 10612, 14301, 14300, 14321, 14323, 14341, 14340 -11541 , 14301, 10615, 14630, 14629, 14341, 14342, 14653, 14652 -11542 , 10612, 10611, 10615, 14301, 14323, 14324, 14342, 14341 -11543 , 10615, 10617, 14631, 14630, 14342, 14343, 14654, 14653 -11544 , 10611, 10614, 10617, 10615, 14324, 14325, 14343, 14342 -11545 , 10617, 10627, 14632, 14631, 14343, 14344, 14655, 14654 -11546 , 10614, 10626, 10627, 10617, 14325, 11739, 14344, 14343 -11547 , 10627, 14302, 14633, 14632, 14344, 14326, 14656, 14655 -11548 , 14327, 14303, 14302, 14326, 14657, 14634, 14633, 14656 -11549 , 11579, 14304, 14303, 14327, 14658, 14635, 14634, 14657 -11550 , 11581, 14305, 14304, 11579, 14659, 14636, 14635, 14658 -11551 , 11583, 14306, 14305, 11581, 14660, 14637, 14636, 14659 -11552 , 11585, 14307, 14306, 11583, 14661, 14638, 14637, 14660 -11553 , 14328, 14308, 14307, 11585, 14662, 14640, 14638, 14661 -11554 , 14329, 14309, 14308, 14328, 14663, 14641, 14640, 14662 -11555 , 14330, 14310, 14309, 14329, 14664, 14642, 14641, 14663 -11556 , 14332, 14311, 14310, 14330, 14665, 14643, 14642, 14664 -11557 , 14333, 14314, 14311, 14332, 14667, 14644, 14643, 14665 -11558 , 14346, 14316, 14314, 14333, 14675, 14666, 14644, 14667 -11559 , 7743, 7744, 7880, 7878, 14316, 14346, 14675, 14666 -11560 , 7735, 7881, 7748, 7745, 14335, 14668, 14348, 14337 -11561 , 7879, 7882, 7881, 7735, 14669, 14676, 14668, 14335 -11562 , 14207, 14224, 12736, 12733, 14670, 14677, 12829, 12826 -11563 , 14337, 14647, 14650, 14648, 14348, 14349, 14671, 14678 -11564 , 14647, 14340, 14651, 14650, 14349, 14350, 14681, 14671 -11565 , 14319, 14320, 14647, 14337, 14336, 14338, 14349, 14348 -11566 , 14320, 14321, 14340, 14647, 14338, 14339, 14350, 14349 -11567 , 7750, 7752, 7883, 7751, 14340, 14350, 14672, 14341 -11568 , 7751, 7883, 7884, 7753, 14341, 14672, 14673, 14342 -11569 , 7885, 7886, 7754, 7753, 14653, 14654, 14343, 14342 -11570 , 7753, 7884, 7887, 7885, 14342, 14673, 14683, 14653 -11571 , 7886, 7888, 7755, 7754, 14654, 14655, 14344, 14343 -11572 , 7888, 7889, 7756, 7755, 14655, 14656, 14326, 14344 -11573 , 7889, 7890, 7757, 7756, 14656, 11668, 11627, 14326 -11574 , 14327, 11579, 11578, 11586, 11526, 11528, 11527, 11525 -11575 , 11578, 11579, 14327, 11586, 11631, 14658, 14657, 11629 -11576 , 14327, 11586, 11629, 14657, 14326, 11627, 11668, 14656 -11577 , 11580, 11581, 11579, 11578, 11633, 14659, 14658, 11631 -11578 , 11582, 11583, 11581, 11580, 11635, 14660, 14659, 11633 -11579 , 11584, 11585, 11583, 11582, 11637, 14661, 14660, 11635 -11580 , 11585, 14328, 11591, 11584, 11534, 11536, 11535, 11533 -11581 , 11591, 14328, 11585, 11584, 11639, 14662, 14661, 11637 -11582 , 11595, 14329, 14328, 11591, 11641, 14663, 14662, 11639 -11583 , 11598, 14330, 14329, 11595, 11679, 14664, 14663, 11641 -11584 , 14330, 14332, 14665, 14664, 11598, 11642, 14674, 11679 -11585 , 14674, 11642, 14332, 14665, 14684, 14347, 14333, 14667 -11586 , 7744, 7758, 7762, 7891, 14346, 14351, 14347, 14333 -11587 , 7892, 7880, 7744, 7891, 14667, 14675, 14346, 14333 -11588 , 7891, 7762, 7893, 7892, 14333, 14347, 14684, 14667 -11589 , 7882, 7894, 7748, 7881, 14676, 14678, 14348, 14668 -11590 , 14224, 14244, 12741, 12736, 14677, 14687, 12832, 12829 -11591 , 7894, 7895, 7759, 7748, 14678, 14671, 14349, 14348 -11592 , 7759, 7896, 7897, 7752, 14349, 14679, 14680, 14350 -11593 , 7895, 7898, 7896, 7759, 14671, 14685, 14679, 14349 -11594 , 7899, 7900, 7883, 7752, 14681, 14682, 14672, 14350 -11595 , 7752, 7897, 7901, 7899, 14350, 14680, 14686, 14681 -11596 , 7900, 7887, 7884, 7883, 14682, 14683, 14673, 14672 -11597 , 7905, 7906, 7761, 7904, 11679, 14674, 11642, 11598 -11598 , 7906, 7893, 7762, 7761, 14674, 14684, 14347, 11642 -11599 , 7898, 7901, 7897, 7896, 14685, 14686, 14680, 14679 -11600 , 14244, 14255, 12744, 12741, 14687, 14689, 12837, 12832 -11601 , 14255, 14688, 12835, 12744, 14689, 14690, 12839, 12837 -11602 , 7783, 7923, 7785, 7784, 14356, 14373, 14371, 14355 -11603 , 7786, 7924, 7923, 7783, 14357, 14372, 14373, 14356 -11604 , 7787, 7925, 7924, 7786, 14358, 14375, 14372, 14357 -11605 , 7788, 7926, 7925, 7787, 14359, 14377, 14375, 14358 -11606 , 7789, 7927, 7926, 7788, 14360, 14379, 14377, 14359 -11607 , 7790, 7928, 7927, 7789, 14361, 14381, 14379, 14360 -11608 , 12839, 14690, 14688, 12835, 12920, 15199, 14691, 12841 -11609 , 12835, 14688, 14256, 12746, 12841, 14691, 14276, 12750 -11610 , 7792, 7796, 7928, 7790, 14362, 14384, 14381, 14361 -11611 , 7801, 7929, 7803, 7802, 14365, 14393, 14391, 14364 -11612 , 7804, 7930, 7929, 7801, 14366, 14392, 14393, 14365 -11613 , 7805, 7931, 7930, 7804, 14367, 14395, 14392, 14366 -11614 , 7806, 7932, 7931, 7805, 14368, 14397, 14395, 14367 -11615 , 7807, 7933, 7932, 7806, 14369, 14399, 14397, 14368 -11616 , 7807, 7808, 7934, 7935, 14369, 14370, 14693, 14692 -11617 , 7935, 7936, 7933, 7807, 14692, 14703, 14399, 14369 -11618 , 7808, 7785, 7937, 7934, 14370, 14371, 14694, 14693 -11619 , 7785, 7923, 7938, 7937, 14371, 14373, 14695, 14694 -11620 , 7923, 7924, 7939, 7938, 14373, 14372, 14696, 14695 -11621 , 7924, 7925, 7940, 7939, 14372, 14375, 14697, 14696 -11622 , 7925, 7926, 7941, 7940, 14375, 14377, 14698, 14697 -11623 , 14379, 7927, 7926, 14377, 14719, 8061, 7941, 14698 -11624 , 14381, 7928, 7927, 14379, 14722, 8063, 8061, 14719 -11625 , 14384, 7796, 7928, 14381, 14724, 8065, 8063, 14722 -11626 , 14385, 7809, 7796, 14384, 14996, 8067, 8065, 14724 -11627 , 7810, 7942, 7943, 7809, 14386, 14415, 14413, 14385 -11628 , 14413, 7943, 7809, 14385, 14725, 8068, 8067, 14996 -11629 , 7812, 7816, 7942, 7810, 14388, 14418, 14415, 14386 -11630 , 7719, 7944, 7177, 7165, 14691, 15199, 12920, 12841 -11631 , 7818, 7945, 7820, 7819, 14390, 14424, 14422, 14389 -11632 , 7803, 7946, 7945, 7818, 14391, 14423, 14424, 14390 -11633 , 7929, 7947, 7946, 7803, 14393, 14394, 14423, 14391 -11634 , 7929, 7930, 7948, 7949, 14393, 14392, 14700, 14699 -11635 , 7949, 7950, 7947, 7929, 14699, 14728, 14394, 14393 -11636 , 7930, 7931, 7951, 7948, 14392, 14395, 14701, 14700 -11637 , 7931, 7932, 7952, 7951, 14395, 14397, 14702, 14701 -11638 , 7932, 7933, 7936, 7952, 14397, 14399, 14703, 14702 -11639 , 14405, 14403, 14401, 14404, 14708, 14704, 14705, 14706 -11640 , 14403, 14371, 14370, 14401, 14704, 14694, 14693, 14705 -11641 , 14404, 14401, 14399, 14402, 14706, 14705, 14703, 14734 -11642 , 14401, 14370, 14369, 14399, 14705, 14693, 14692, 14703 -11643 , 14406, 14374, 14403, 14405, 14710, 14707, 14704, 14708 -11644 , 14374, 14373, 14371, 14403, 14707, 14695, 14694, 14704 -11645 , 14407, 14376, 14374, 14406, 14712, 14709, 14707, 14710 -11646 , 14376, 14372, 14373, 14374, 14709, 14696, 14695, 14707 -11647 , 14408, 14378, 14376, 14407, 14714, 14711, 14709, 14712 -11648 , 14378, 14375, 14372, 14376, 14711, 14697, 14696, 14709 -11649 , 14409, 14380, 14378, 14408, 14716, 14713, 14711, 14714 -11650 , 14380, 14377, 14375, 14378, 14713, 14698, 14697, 14711 -11651 , 14410, 14382, 14380, 14409, 14718, 14715, 14713, 14716 -11652 , 14382, 14379, 14377, 14380, 14715, 14719, 14698, 14713 -11653 , 14412, 14383, 14382, 14410, 14721, 14717, 14715, 14718 -11654 , 14383, 14381, 14379, 14382, 14717, 14722, 14719, 14715 -11655 , 14414, 14411, 14383, 14412, 14723, 14720, 14717, 14721 -11656 , 14411, 14384, 14381, 14383, 14720, 14724, 14722, 14717 -11657 , 14416, 14413, 14411, 14414, 14745, 14725, 14720, 14723 -11658 , 14413, 14385, 14384, 14411, 14725, 14996, 14724, 14720 -11659 , 14415, 7942, 7943, 14413, 15006, 8085, 8068, 14725 -11660 , 7816, 7953, 7954, 7942, 14418, 14442, 14417, 14415 -11661 , 14417, 7954, 7942, 14415, 14749, 8086, 8085, 15006 -11662 , 7821, 7825, 7953, 7816, 14420, 14445, 14442, 14418 -11663 , 7171, 7955, 7956, 7725, 12845, 12849, 14748, 14726 -11664 , 7820, 7957, 7827, 7826, 14422, 14449, 14448, 14421 -11665 , 7945, 7958, 7957, 7820, 14424, 14425, 14449, 14422 -11666 , 7946, 7959, 7958, 7945, 14423, 14426, 14425, 14424 -11667 , 7946, 7947, 7950, 7960, 14423, 14394, 14728, 14727 -11668 , 7960, 7961, 7959, 7946, 14727, 14750, 14426, 14423 -11669 , 14429, 14398, 14396, 14428, 14733, 14729, 14730, 14731 -11670 , 14398, 14395, 14392, 14396, 14729, 14701, 14700, 14730 -11671 , 14428, 14396, 14394, 14427, 14731, 14730, 14728, 14751 -11672 , 14396, 14392, 14393, 14394, 14730, 14700, 14699, 14728 -11673 , 14430, 14400, 14398, 14429, 14735, 14732, 14729, 14733 -11674 , 14400, 14397, 14395, 14398, 14732, 14702, 14701, 14729 -11675 , 14431, 14402, 14400, 14430, 14736, 14734, 14732, 14735 -11676 , 14402, 14399, 14397, 14400, 14734, 14703, 14702, 14732 -11677 , 14432, 14404, 14402, 14431, 14737, 14706, 14734, 14736 -11678 , 7171, 7180, 7962, 7955, 12845, 12926, 12850, 12849 -11679 , 14433, 14405, 14404, 14432, 14738, 14708, 14706, 14737 -11680 , 14434, 14406, 14405, 14433, 14739, 14710, 14708, 14738 -11681 , 14435, 14407, 14406, 14434, 14740, 14712, 14710, 14739 -11682 , 14436, 14408, 14407, 14435, 14741, 14714, 14712, 14740 -11683 , 14437, 14409, 14408, 14436, 14742, 14716, 14714, 14741 -11684 , 14438, 14410, 14409, 14437, 14743, 14718, 14716, 14742 -11685 , 14439, 14412, 14410, 14438, 14744, 14721, 14718, 14743 -11686 , 14440, 14414, 14412, 14439, 14746, 14723, 14721, 14744 -11687 , 14441, 14416, 14414, 14440, 14747, 14745, 14723, 14746 -11688 , 14443, 14417, 14416, 14441, 14767, 14749, 14745, 14747 -11689 , 7955, 7962, 7963, 7956, 12849, 12850, 15252, 14748 -11690 , 14417, 14415, 14413, 14416, 14749, 15006, 14725, 14745 -11691 , 14442, 7953, 7954, 14417, 14772, 8098, 8086, 14749 -11692 , 14445, 7825, 7953, 14442, 15030, 8100, 8098, 14772 -11693 , 7828, 7831, 7964, 7825, 14447, 14473, 14470, 14445 -11694 , 14470, 7964, 7825, 14445, 14773, 8101, 8100, 15030 -11695 , 7957, 7965, 7833, 7827, 14449, 14450, 14475, 14448 -11696 , 7958, 7966, 7965, 7957, 14425, 14451, 14450, 14449 -11697 , 7959, 7967, 7966, 7958, 14426, 14452, 14451, 14425 -11698 , 7961, 7968, 7967, 7959, 14750, 14775, 14452, 14426 -11699 , 14454, 14428, 14427, 14453, 14753, 14731, 14751, 14752 -11700 , 14453, 14427, 14426, 14452, 14752, 14751, 14750, 14775 -11701 , 14427, 14394, 14423, 14426, 14751, 14728, 14727, 14750 -11702 , 14455, 14429, 14428, 14454, 14754, 14733, 14731, 14753 -11703 , 14456, 14430, 14429, 14455, 14755, 14735, 14733, 14754 -11704 , 14457, 14431, 14430, 14456, 14756, 14736, 14735, 14755 -11705 , 14458, 14432, 14431, 14457, 14757, 14737, 14736, 14756 -11706 , 14459, 14433, 14432, 14458, 14758, 14738, 14737, 14757 -11707 , 14460, 14434, 14433, 14459, 14759, 14739, 14738, 14758 -11708 , 14461, 14435, 14434, 14460, 14760, 14740, 14739, 14759 -11709 , 14462, 14436, 14435, 14461, 14761, 14741, 14740, 14760 -11710 , 14463, 14437, 14436, 14462, 14762, 14742, 14741, 14761 -11711 , 14464, 14438, 14437, 14463, 14763, 14743, 14742, 14762 -11712 , 14465, 14439, 14438, 14464, 14765, 14744, 14743, 14763 -11713 , 14313, 14331, 12766, 12763, 14764, 14785, 12858, 12854 -11714 , 14313, 14764, 12854, 12763, 14748, 15252, 12850, 12849 -11715 , 14466, 14440, 14439, 14465, 14766, 14746, 14744, 14765 -11716 , 14467, 14441, 14440, 14466, 14768, 14747, 14746, 14766 -11717 , 14468, 14443, 14441, 14467, 14770, 14767, 14747, 14768 -11718 , 14471, 14444, 14443, 14468, 14771, 14769, 14767, 14770 -11719 , 14769, 14444, 14443, 14767, 14772, 14442, 14417, 14749 -11720 , 14472, 14470, 14444, 14471, 14794, 14773, 14769, 14771 -11721 , 14470, 14445, 14442, 14444, 14773, 15030, 14772, 14769 -11722 , 7834, 7836, 7969, 7831, 14474, 14501, 14498, 14473 -11723 , 7831, 7969, 7970, 7971, 14473, 14498, 14797, 14774 -11724 , 7831, 14473, 14774, 7971, 7964, 14470, 14773, 8101 -11725 , 7965, 7972, 7839, 7833, 14450, 14476, 14503, 14475 -11726 , 7966, 7973, 7972, 7965, 14451, 14478, 14476, 14450 -11727 , 7967, 7974, 7973, 7966, 14452, 14479, 14478, 14451 -11728 , 7968, 7975, 7974, 7967, 14775, 14800, 14479, 14452 -11729 , 7877, 7018, 7017, 7094, 14776, 14962, 12320, 12318 -11730 , 14481, 14454, 14453, 14480, 14778, 14753, 14752, 14777 -11731 , 14480, 14453, 14452, 14479, 14777, 14752, 14775, 14800 -11732 , 14482, 14455, 14454, 14481, 14779, 14754, 14753, 14778 -11733 , 14483, 14456, 14455, 14482, 14780, 14755, 14754, 14779 -11734 , 14484, 14457, 14456, 14483, 14781, 14756, 14755, 14780 -11735 , 14485, 14458, 14457, 14484, 14782, 14757, 14756, 14781 -11736 , 14486, 14459, 14458, 14485, 14783, 14758, 14757, 14782 -11737 , 14487, 14460, 14459, 14486, 14784, 14759, 14758, 14783 -11738 , 14488, 14461, 14460, 14487, 14786, 14760, 14759, 14784 -11739 , 14331, 14345, 12769, 12766, 14785, 14804, 12861, 12858 -11740 , 14490, 14462, 14461, 14488, 14787, 14761, 14760, 14786 -11741 , 14491, 14463, 14462, 14490, 14788, 14762, 14761, 14787 -11742 , 14492, 14464, 14463, 14491, 14789, 14763, 14762, 14788 -11743 , 14493, 14465, 14464, 14492, 14790, 14765, 14763, 14789 -11744 , 14494, 14466, 14465, 14493, 14791, 14766, 14765, 14790 -11745 , 14495, 14467, 14466, 14494, 14792, 14768, 14766, 14791 -11746 , 14496, 14468, 14467, 14495, 14793, 14770, 14768, 14792 -11747 , 14497, 14471, 14468, 14496, 14795, 14771, 14770, 14793 -11748 , 14499, 14472, 14471, 14497, 14796, 14794, 14771, 14795 -11749 , 14500, 14498, 14472, 14499, 14819, 14797, 14794, 14796 -11750 , 14498, 14473, 14470, 14472, 14797, 14774, 14773, 14794 -11751 , 7969, 7836, 7976, 7970, 14498, 14501, 14798, 14797 -11752 , 7843, 7844, 7977, 7836, 14502, 14529, 14526, 14501 -11753 , 7836, 7977, 7978, 7976, 14501, 14526, 14822, 14798 -11754 , 7972, 7979, 7847, 7839, 14476, 14504, 14531, 14503 -11755 , 7973, 7980, 7979, 7972, 14478, 14505, 14504, 14476 -11756 , 7973, 7974, 7975, 7981, 14478, 14479, 14800, 14799 -11757 , 7981, 7982, 7980, 7973, 14799, 14824, 14505, 14478 -11758 , 14508, 14481, 14480, 14507, 14802, 14778, 14777, 14801 -11759 , 14507, 14480, 14479, 14506, 14801, 14777, 14800, 14825 -11760 , 14510, 14482, 14481, 14508, 14803, 14779, 14778, 14802 -11761 , 14511, 14483, 14482, 14510, 14805, 14780, 14779, 14803 -11762 , 14345, 14352, 12772, 12769, 14804, 14823, 12864, 12861 -11763 , 14512, 14484, 14483, 14511, 14806, 14781, 14780, 14805 -11764 , 14513, 14485, 14484, 14512, 14807, 14782, 14781, 14806 -11765 , 14514, 14486, 14485, 14513, 14808, 14783, 14782, 14807 -11766 , 14515, 14487, 14486, 14514, 14809, 14784, 14783, 14808 -11767 , 14516, 14488, 14487, 14515, 14810, 14786, 14784, 14809 -11768 , 14517, 14490, 14488, 14516, 14811, 14787, 14786, 14810 -11769 , 14518, 14491, 14490, 14517, 14812, 14788, 14787, 14811 -11770 , 14519, 14492, 14491, 14518, 14813, 14789, 14788, 14812 -11771 , 14520, 14493, 14492, 14519, 14814, 14790, 14789, 14813 -11772 , 14521, 14494, 14493, 14520, 14815, 14791, 14790, 14814 -11773 , 14522, 14495, 14494, 14521, 14816, 14792, 14791, 14815 -11774 , 14523, 14496, 14495, 14522, 14817, 14793, 14792, 14816 -11775 , 14524, 14497, 14496, 14523, 14818, 14795, 14793, 14817 -11776 , 14525, 14499, 14497, 14524, 14820, 14796, 14795, 14818 -11777 , 14527, 14500, 14499, 14525, 14821, 14819, 14796, 14820 -11778 , 14528, 14526, 14500, 14527, 14847, 14822, 14819, 14821 -11779 , 14526, 14501, 14498, 14500, 14822, 14798, 14797, 14819 -11780 , 7844, 7849, 7983, 7977, 14529, 14556, 14528, 14526 -11781 , 7977, 7983, 7984, 7978, 14526, 14528, 14847, 14822 -11782 , 7979, 7985, 7852, 7847, 14504, 14532, 14558, 14531 -11783 , 7980, 7986, 7985, 7979, 14505, 14533, 14532, 14504 -11784 , 14352, 14353, 12775, 12772, 14823, 14845, 12867, 12864 -11785 , 7982, 7987, 7986, 7980, 14824, 14849, 14533, 14505 -11786 , 14535, 14507, 14506, 14534, 14827, 14801, 14825, 14826 -11787 , 14534, 14506, 14505, 14533, 14826, 14825, 14824, 14849 -11788 , 14506, 14479, 14478, 14505, 14825, 14800, 14799, 14824 -11789 , 14536, 14508, 14507, 14535, 14828, 14802, 14801, 14827 -11790 , 14537, 14510, 14508, 14536, 14829, 14803, 14802, 14828 -11791 , 14538, 14511, 14510, 14537, 14830, 14805, 14803, 14829 -11792 , 14539, 14512, 14511, 14538, 14831, 14806, 14805, 14830 -11793 , 14540, 14513, 14512, 14539, 14832, 14807, 14806, 14831 -11794 , 14541, 14514, 14513, 14540, 14833, 14808, 14807, 14832 -11795 , 14542, 14515, 14514, 14541, 14834, 14809, 14808, 14833 -11796 , 14543, 14516, 14515, 14542, 14835, 14810, 14809, 14834 -11797 , 14544, 14517, 14516, 14543, 14836, 14811, 14810, 14835 -11798 , 14545, 14518, 14517, 14544, 14837, 14812, 14811, 14836 -11799 , 14546, 14519, 14518, 14545, 14838, 14813, 14812, 14837 -11800 , 14547, 14520, 14519, 14546, 14839, 14814, 14813, 14838 -11801 , 14548, 14521, 14520, 14547, 14840, 14815, 14814, 14839 -11802 , 14550, 14522, 14521, 14548, 14841, 14816, 14815, 14840 -11803 , 14551, 14523, 14522, 14550, 14842, 14817, 14816, 14841 -11804 , 14552, 14524, 14523, 14551, 14843, 14818, 14817, 14842 -11805 , 14553, 14525, 14524, 14552, 14844, 14820, 14818, 14843 -11806 , 14554, 14527, 14525, 14553, 14846, 14821, 14820, 14844 -11807 , 12775, 14353, 14354, 12778, 12867, 14845, 10909, 10910 -11808 , 14555, 14528, 14527, 14554, 14869, 14847, 14821, 14846 -11809 , 7983, 7849, 7988, 7984, 14528, 14556, 14848, 14847 -11810 , 7853, 7854, 7989, 7849, 14557, 14581, 14578, 14556 -11811 , 7849, 7989, 7990, 7988, 14556, 14578, 14871, 14848 -11812 , 7985, 7858, 7855, 7852, 14532, 14559, 14582, 14558 -11813 , 7986, 7991, 7858, 7985, 14533, 14560, 14559, 14532 -11814 , 7987, 7992, 7991, 7986, 14849, 14873, 14560, 14533 -11815 , 14562, 14535, 14534, 14561, 14851, 14827, 14826, 14850 -11816 , 14561, 14534, 14533, 14560, 14850, 14826, 14849, 14873 -11817 , 14563, 14536, 14535, 14562, 14852, 14828, 14827, 14851 -11818 , 14564, 14537, 14536, 14563, 14853, 14829, 14828, 14852 -11819 , 14565, 14538, 14537, 14564, 14854, 14830, 14829, 14853 -11820 , 14566, 14539, 14538, 14565, 14855, 14831, 14830, 14854 -11821 , 10233, 14540, 14539, 14566, 14856, 14832, 14831, 14855 -11822 , 10235, 14541, 14540, 10233, 14857, 14833, 14832, 14856 -11823 , 10237, 14542, 14541, 10235, 14858, 14834, 14833, 14857 -11824 , 10239, 14543, 14542, 10237, 14859, 14835, 14834, 14858 -11825 , 14568, 14544, 14543, 10239, 14860, 14836, 14835, 14859 -11826 , 14569, 14545, 14544, 14568, 14861, 14837, 14836, 14860 -11827 , 14570, 14546, 14545, 14569, 14862, 14838, 14837, 14861 -11828 , 14571, 14547, 14546, 14570, 14863, 14839, 14838, 14862 -11829 , 12778, 14354, 10897, 10900, 10910, 10909, 10898, 10899 -11830 , 14572, 14548, 14547, 14571, 14864, 14840, 14839, 14863 -11831 , 14573, 14550, 14548, 14572, 14865, 14841, 14840, 14864 -11832 , 14574, 14551, 14550, 14573, 14866, 14842, 14841, 14865 -11833 , 14575, 14552, 14551, 14574, 14867, 14843, 14842, 14866 -11834 , 14576, 14553, 14552, 14575, 14868, 14844, 14843, 14867 -11835 , 14577, 14554, 14553, 14576, 14870, 14846, 14844, 14868 -11836 , 14579, 14555, 14554, 14577, 14872, 14869, 14846, 14870 -11837 , 14578, 14556, 14528, 14555, 14871, 14848, 14847, 14869 -11838 , 14580, 14578, 14555, 14579, 14894, 14871, 14869, 14872 -11839 , 7854, 7856, 7993, 7989, 14581, 14596, 14580, 14578 -11840 , 7989, 7993, 7994, 7990, 14578, 14580, 14894, 14871 -11841 , 7991, 7862, 7859, 7858, 14560, 14584, 14598, 14559 -11842 , 7992, 7995, 7862, 7991, 14873, 14895, 14584, 14560 -11843 , 14586, 14562, 14561, 14585, 14875, 14851, 14850, 14874 -11844 , 14585, 14561, 14560, 14584, 14874, 14850, 14873, 14895 -11845 , 14587, 14563, 14562, 14586, 14876, 14852, 14851, 14875 -11846 , 14588, 14564, 14563, 14587, 14877, 14853, 14852, 14876 -11847 , 14589, 14565, 14564, 14588, 14878, 14854, 14853, 14877 -11848 , 10240, 14566, 14565, 14589, 14879, 14855, 14854, 14878 -11849 , 14566, 10233, 10232, 10240, 10210, 10212, 10211, 10209 -11850 , 10232, 10233, 14566, 10240, 14880, 14856, 14855, 14879 -11851 , 10234, 10235, 10233, 10232, 14881, 14857, 14856, 14880 -11852 , 10236, 10237, 10235, 10234, 14882, 14858, 14857, 14881 -11853 , 10238, 10239, 10237, 10236, 14883, 14859, 14858, 14882 -11854 , 10239, 14568, 10245, 10238, 10203, 10207, 10218, 10217 -11855 , 10245, 14568, 10239, 10238, 14884, 14860, 14859, 14883 -11856 , 10751, 14569, 14568, 10245, 14885, 14861, 14860, 14884 -11857 , 10753, 14570, 14569, 10751, 14886, 14862, 14861, 14885 -11858 , 10755, 14571, 14570, 10753, 14887, 14863, 14862, 14886 -11859 , 10758, 14572, 14571, 10755, 14888, 14864, 14863, 14887 -11860 , 10776, 14573, 14572, 10758, 14889, 14865, 14864, 14888 -11861 , 14590, 14574, 14573, 10776, 14890, 14866, 14865, 14889 -11862 , 14591, 14575, 14574, 14590, 14891, 14867, 14866, 14890 -11863 , 14592, 14576, 14575, 14591, 14892, 14868, 14867, 14891 -11864 , 14594, 14577, 14576, 14592, 14893, 14870, 14868, 14892 -11865 , 14893, 14594, 14577, 14870, 14913, 14595, 14579, 14872 -11866 , 7993, 7868, 7996, 7997, 14580, 14597, 14595, 14579 -11867 , 7998, 7994, 7993, 7997, 14872, 14894, 14580, 14579 -11868 , 7997, 7996, 7999, 7998, 14579, 14595, 14913, 14872 -11869 , 7856, 7860, 7868, 7993, 14596, 14609, 14597, 14580 -11870 , 7995, 8000, 7864, 7862, 14895, 14874, 14585, 14584 -11871 , 8001, 7871, 7865, 7864, 14586, 14599, 14610, 14585 -11872 , 8000, 8002, 8001, 7864, 14874, 14875, 14586, 14585 -11873 , 8003, 8004, 7871, 8001, 14587, 14600, 14599, 14586 -11874 , 8002, 8005, 8003, 8001, 14875, 14876, 14587, 14586 -11875 , 8005, 8006, 8004, 8003, 14876, 14914, 14600, 14587 -11876 , 14602, 14589, 14588, 14601, 14897, 14878, 14877, 14896 -11877 , 14601, 14588, 14587, 14600, 14896, 14877, 14876, 14914 -11878 , 10248, 10240, 14589, 14602, 14898, 14879, 14878, 14897 -11879 , 10241, 10232, 10240, 10248, 14899, 14880, 14879, 14898 -11880 , 10242, 10234, 10232, 10241, 14900, 14881, 14880, 14899 -11881 , 10243, 10236, 10234, 10242, 14901, 14882, 14881, 14900 -11882 , 10246, 10238, 10236, 10243, 14902, 14883, 14882, 14901 -11883 , 10247, 10245, 10238, 10246, 14903, 14884, 14883, 14902 -11884 , 10750, 10751, 10245, 10247, 14904, 14885, 14884, 14903 -11885 , 10752, 10753, 10751, 10750, 14905, 14886, 14885, 14904 -11886 , 10754, 10755, 10753, 10752, 14906, 14887, 14886, 14905 -11887 , 10757, 10758, 10755, 10754, 14907, 14888, 14887, 14906 -11888 , 10768, 10776, 10758, 10757, 14908, 14889, 14888, 14907 -11889 , 14604, 14590, 10776, 10768, 14909, 14890, 14889, 14908 -11890 , 14605, 14591, 14590, 14604, 14910, 14891, 14890, 14909 -11891 , 14606, 14592, 14591, 14605, 14911, 14892, 14891, 14910 -11892 , 14607, 14594, 14592, 14606, 14912, 14893, 14892, 14911 -11893 , 14912, 14607, 14594, 14893, 14932, 14608, 14595, 14913 -11894 , 7868, 7869, 8007, 7996, 14597, 14621, 14608, 14595 -11895 , 7996, 8007, 8008, 7999, 14595, 14608, 14932, 14913 -11896 , 8004, 7875, 7872, 7871, 14600, 14611, 14622, 14599 -11897 , 8006, 8009, 7875, 8004, 14914, 14933, 14611, 14600 -11898 , 14613, 14602, 14601, 14612, 14916, 14897, 14896, 14915 -11899 , 14612, 14601, 14600, 14611, 14915, 14896, 14914, 14933 -11900 , 14614, 10248, 14602, 14613, 14917, 14898, 14897, 14916 -11901 , 10759, 10241, 10248, 14614, 14918, 14899, 14898, 14917 -11902 , 10248, 10241, 10759, 14614, 10220, 10221, 10231, 10230 -11903 , 10760, 10242, 10241, 10759, 14919, 14900, 14899, 14918 -11904 , 10761, 10243, 10242, 10760, 14920, 14901, 14900, 14919 -11905 , 10762, 10246, 10243, 10761, 14921, 14902, 14901, 14920 -11906 , 10763, 10247, 10246, 10762, 14922, 14903, 14902, 14921 -11907 , 10764, 10750, 10247, 10763, 14923, 14904, 14903, 14922 -11908 , 10765, 10752, 10750, 10764, 14924, 14905, 14904, 14923 -11909 , 10766, 10754, 10752, 10765, 14925, 14906, 14905, 14924 -11910 , 10769, 10757, 10754, 10766, 14926, 14907, 14906, 14925 -11911 , 10777, 10768, 10757, 10769, 14927, 14908, 14907, 14926 -11912 , 14616, 14604, 10768, 10777, 14928, 14909, 14908, 14927 -11913 , 14617, 14605, 14604, 14616, 14929, 14910, 14909, 14928 -11914 , 14618, 14606, 14605, 14617, 14930, 14911, 14910, 14929 -11915 , 14619, 14607, 14606, 14618, 14931, 14912, 14911, 14930 -11916 , 10908, 10965, 14469, 12789, 10670, 10915, 10918, 10676 -11917 , 14931, 14619, 14607, 14912, 14951, 14620, 14608, 14932 -11918 , 7869, 7874, 8010, 8007, 14621, 14645, 14620, 14608 -11919 , 8007, 8010, 8011, 8008, 14608, 14620, 14951, 14932 -11920 , 8009, 8012, 7876, 7875, 14933, 14952, 14646, 14611 -11921 , 14626, 14613, 14612, 14625, 14935, 14916, 14915, 14934 -11922 , 14625, 14612, 14611, 14646, 14934, 14915, 14933, 14952 -11923 , 14628, 14614, 14613, 14626, 14936, 14917, 14916, 14935 -11924 , 14629, 10759, 14614, 14628, 14937, 14918, 14917, 14936 -11925 , 14630, 10760, 10759, 14629, 14938, 14919, 14918, 14937 -11926 , 14631, 10761, 10760, 14630, 14939, 14920, 14919, 14938 -11927 , 14632, 10762, 10761, 14631, 14940, 14921, 14920, 14939 -11928 , 14633, 10763, 10762, 14632, 14941, 14922, 14921, 14940 -11929 , 14634, 10764, 10763, 14633, 14942, 14923, 14922, 14941 -11930 , 14635, 10765, 10764, 14634, 14943, 14924, 14923, 14942 -11931 , 14636, 10766, 10765, 14635, 14944, 14925, 14924, 14943 -11932 , 14637, 10769, 10766, 14636, 14945, 14926, 14925, 14944 -11933 , 14638, 10777, 10769, 14637, 14946, 14927, 14926, 14945 -11934 , 14640, 14616, 10777, 14638, 14947, 14928, 14927, 14946 -11935 , 14641, 14617, 14616, 14640, 14948, 14929, 14928, 14947 -11936 , 14642, 14618, 14617, 14641, 14949, 14930, 14929, 14948 -11937 , 12789, 14469, 14489, 12793, 10676, 10918, 10920, 10679 -11938 , 14643, 14619, 14618, 14642, 14950, 14931, 14930, 14949 -11939 , 14644, 14620, 14619, 14643, 14971, 14951, 14931, 14950 -11940 , 7874, 7878, 8013, 8010, 14645, 14666, 14644, 14620 -11941 , 8010, 8013, 8014, 8011, 14620, 14644, 14971, 14951 -11942 , 8012, 8015, 7879, 7876, 14952, 14972, 14669, 14646 -11943 , 14650, 14626, 14625, 14648, 14954, 14935, 14934, 14953 -11944 , 14648, 14625, 14646, 14669, 14953, 14934, 14952, 14972 -11945 , 14651, 14628, 14626, 14650, 14955, 14936, 14935, 14954 -11946 , 14652, 14629, 14628, 14651, 14956, 14937, 14936, 14955 -11947 , 14653, 14630, 14629, 14652, 14957, 14938, 14937, 14956 -11948 , 14630, 14631, 14939, 14938, 14653, 14654, 14958, 14957 -11949 , 14631, 14632, 14940, 14939, 14654, 14655, 14959, 14958 -11950 , 14632, 14633, 14941, 14940, 14655, 14656, 14960, 14959 -11951 , 14657, 14634, 14633, 14656, 14961, 14942, 14941, 14960 -11952 , 14658, 14635, 14634, 14657, 14963, 14943, 14942, 14961 -11953 , 14659, 14636, 14635, 14658, 14964, 14944, 14943, 14963 -11954 , 14660, 14637, 14636, 14659, 14965, 14945, 14944, 14964 -11955 , 14661, 14638, 14637, 14660, 14966, 14946, 14945, 14965 -11956 , 14662, 14640, 14638, 14661, 14967, 14947, 14946, 14966 -11957 , 14663, 14641, 14640, 14662, 14968, 14948, 14947, 14967 -11958 , 14664, 14642, 14641, 14663, 14969, 14949, 14948, 14968 -11959 , 12793, 14489, 14509, 12796, 10679, 10920, 10922, 10682 -11960 , 14665, 14643, 14642, 14664, 14970, 14950, 14949, 14969 -11961 , 14667, 14644, 14643, 14665, 14980, 14971, 14950, 14970 -11962 , 7878, 7880, 7892, 8013, 14666, 14675, 14667, 14644 -11963 , 8013, 7892, 8016, 8014, 14644, 14667, 14980, 14971 -11964 , 8015, 8017, 7882, 7879, 14972, 14982, 14676, 14669 -11965 , 14671, 14650, 14648, 14678, 14974, 14954, 14953, 14973 -11966 , 14335, 14337, 14648, 14669, 14668, 14348, 14678, 14676 -11967 , 14678, 14648, 14669, 14676, 14973, 14953, 14972, 14982 -11968 , 14650, 14651, 14955, 14954, 14671, 14681, 14975, 14974 -11969 , 14651, 14652, 14956, 14955, 14681, 14682, 14976, 14975 -11970 , 14340, 14341, 14652, 14651, 14350, 14672, 14682, 14681 -11971 , 14652, 14653, 14957, 14956, 14682, 14683, 14985, 14976 -11972 , 14341, 14342, 14653, 14652, 14672, 14673, 14683, 14682 -11973 , 7885, 7887, 8018, 7886, 14653, 14683, 14977, 14654 -11974 , 7886, 8018, 8019, 7888, 14654, 14977, 14978, 14655 -11975 , 7888, 8019, 7890, 7889, 14655, 14978, 11668, 14656 -11976 , 11631, 14658, 14657, 11629, 11670, 14963, 14961, 11702 -11977 , 14656, 14657, 14961, 14960, 11668, 11629, 11702, 14988 -11978 , 11633, 14659, 14658, 11631, 11672, 14964, 14963, 11670 -11979 , 11635, 14660, 14659, 11633, 11674, 14965, 14964, 11672 -11980 , 11637, 14661, 14660, 11635, 11676, 14966, 14965, 11674 -11981 , 11639, 14662, 14661, 11637, 11678, 14967, 14966, 11676 -11982 , 11641, 14663, 14662, 11639, 11707, 14968, 14967, 11678 -11983 , 14663, 14664, 14969, 14968, 11641, 11679, 14979, 11707 -11984 , 12796, 14509, 14530, 12799, 10682, 10922, 10964, 10770 -11985 , 14664, 14665, 14970, 14969, 11679, 14674, 14981, 14979 -11986 , 14684, 14667, 14665, 14674, 14989, 14980, 14970, 14981 -11987 , 7892, 7893, 8020, 8016, 14667, 14684, 14989, 14980 -11988 , 8017, 8021, 7894, 7882, 14982, 14973, 14678, 14676 -11989 , 8021, 8022, 7895, 7894, 14973, 14974, 14671, 14678 -11990 , 8022, 8023, 7898, 7895, 14974, 14990, 14685, 14671 -11991 , 7899, 7901, 8024, 7900, 14681, 14686, 14983, 14682 -11992 , 7900, 8024, 8025, 7887, 14682, 14983, 14984, 14683 -11993 , 8026, 8027, 8018, 7887, 14985, 14986, 14977, 14683 -11994 , 7887, 8025, 8028, 8026, 14683, 14984, 14993, 14985 -11995 , 8027, 8029, 8019, 8018, 14986, 14987, 14978, 14977 -11996 , 8029, 8030, 7890, 8019, 14987, 14988, 11668, 14978 -11997 , 8030, 8032, 8031, 7890, 14988, 11702, 11629, 11668 -11998 , 8036, 8037, 7905, 8035, 11707, 14979, 11679, 11641 -11999 , 12799, 14530, 14549, 12802, 10770, 10964, 14994, 12878 -12000 , 8037, 8039, 7906, 7905, 14979, 14981, 14674, 11679 -12001 , 8039, 8020, 7893, 7906, 14981, 14989, 14684, 14674 -12002 , 8023, 8040, 7901, 7898, 14990, 14991, 14686, 14685 -12003 , 8040, 8041, 8024, 7901, 14991, 14992, 14983, 14686 -12004 , 8041, 8028, 8025, 8024, 14992, 14993, 14984, 14983 -12005 , 12802, 14549, 14567, 12805, 12878, 14994, 14995, 12881 -12006 , 7934, 8055, 7936, 7935, 14693, 14705, 14703, 14692 -12007 , 12805, 14567, 14583, 12808, 12881, 14995, 15001, 12884 -12008 , 7937, 8056, 8055, 7934, 14694, 14704, 14705, 14693 -12009 , 7938, 8057, 8056, 7937, 14695, 14707, 14704, 14694 -12010 , 7939, 8058, 8057, 7938, 14696, 14709, 14707, 14695 -12011 , 7940, 8059, 8058, 7939, 14697, 14711, 14709, 14696 -12012 , 7941, 8060, 8059, 7940, 14698, 14713, 14711, 14697 -12013 , 8061, 8062, 8060, 7941, 14719, 14715, 14713, 14698 -12014 , 8063, 8064, 8062, 8061, 14722, 14717, 14715, 14719 -12015 , 8065, 8066, 8064, 8063, 14724, 14720, 14717, 14722 -12016 , 8067, 8068, 8066, 8065, 14996, 14725, 14720, 14724 -12017 , 7948, 8069, 7950, 7949, 14700, 14730, 14728, 14699 -12018 , 7951, 8070, 8069, 7948, 14701, 14729, 14730, 14700 -12019 , 7952, 8071, 8070, 7951, 14702, 14732, 14729, 14701 -12020 , 7936, 8072, 8071, 7952, 14703, 14734, 14732, 14702 -12021 , 8055, 8073, 8072, 7936, 14705, 14706, 14734, 14703 -12022 , 8056, 8074, 8073, 8055, 14704, 14708, 14706, 14705 -12023 , 8056, 8057, 8075, 8076, 14704, 14707, 14998, 14997 -12024 , 8076, 8077, 8074, 8056, 14997, 15012, 14708, 14704 -12025 , 8057, 8058, 8078, 8075, 14707, 14709, 14999, 14998 -12026 , 8058, 8059, 8079, 8078, 14709, 14711, 15000, 14999 -12027 , 8059, 8060, 8080, 8079, 14711, 14713, 15002, 15000 -12028 , 12808, 14583, 14593, 12811, 12884, 15001, 15026, 12887 -12029 , 8060, 8062, 8081, 8080, 14713, 14715, 15003, 15002 -12030 , 8062, 8064, 8082, 8081, 14715, 14717, 15004, 15003 -12031 , 8064, 8066, 8083, 8082, 14717, 14720, 15005, 15004 -12032 , 8066, 8068, 8084, 8083, 14720, 14725, 15007, 15005 -12033 , 8085, 8086, 8087, 8068, 15006, 14749, 14745, 14725 -12034 , 8068, 8087, 8088, 8084, 14725, 14745, 15028, 15007 -12035 , 7950, 8089, 7961, 7960, 14728, 14751, 14750, 14727 -12036 , 8069, 8090, 8089, 7950, 14730, 14731, 14751, 14728 -12037 , 8070, 8091, 8090, 8069, 14729, 14733, 14731, 14730 -12038 , 8070, 8071, 8092, 8093, 14729, 14732, 15009, 15008 -12039 , 8093, 8094, 8091, 8070, 15008, 15032, 14733, 14729 -12040 , 8071, 8072, 8095, 8092, 14732, 14734, 15010, 15009 -12041 , 8072, 8073, 8096, 8095, 14734, 14706, 15011, 15010 -12042 , 8073, 8074, 8077, 8096, 14706, 14708, 15012, 15011 -12043 , 14740, 14712, 14710, 14739, 15017, 15013, 15014, 15015 -12044 , 14712, 14709, 14707, 14710, 15013, 14999, 14998, 15014 -12045 , 14739, 14710, 14708, 14738, 15015, 15014, 15012, 15038 -12046 , 14710, 14707, 14704, 14708, 15014, 14998, 14997, 15012 -12047 , 14741, 14714, 14712, 14740, 15019, 15016, 15013, 15017 -12048 , 14714, 14711, 14709, 14712, 15016, 15000, 14999, 15013 -12049 , 14742, 14716, 14714, 14741, 15021, 15018, 15016, 15019 -12050 , 15018, 14716, 14714, 15016, 15002, 14713, 14711, 15000 -12051 , 14743, 14718, 14716, 14742, 15023, 15020, 15018, 15021 -12052 , 15020, 14718, 14716, 15018, 15003, 14715, 14713, 15002 -12053 , 14744, 14721, 14718, 14743, 15025, 15022, 15020, 15023 -12054 , 14721, 14717, 14715, 14718, 15022, 15004, 15003, 15020 -12055 , 14746, 14723, 14721, 14744, 15027, 15024, 15022, 15025 -12056 , 14723, 14720, 14717, 14721, 15024, 15005, 15004, 15022 -12057 , 12811, 14593, 14603, 12814, 12887, 15026, 15049, 12890 -12058 , 14747, 14745, 14723, 14746, 15047, 15028, 15024, 15027 -12059 , 14745, 14725, 14720, 14723, 15028, 15007, 15005, 15024 -12060 , 8087, 8086, 8097, 8088, 14745, 14749, 15029, 15028 -12061 , 8086, 8098, 8099, 8097, 14749, 14772, 15031, 15029 -12062 , 8100, 8101, 8102, 8098, 15030, 14773, 14769, 14772 -12063 , 8098, 8102, 8103, 8099, 14772, 14769, 15053, 15031 -12064 , 8089, 8104, 7968, 7961, 14751, 14752, 14775, 14750 -12065 , 8090, 8105, 8104, 8089, 14731, 14753, 14752, 14751 -12066 , 8091, 8106, 8105, 8090, 14733, 14754, 14753, 14731 -12067 , 8094, 8107, 8106, 8091, 15032, 15055, 14754, 14733 -12068 , 14756, 14736, 14735, 14755, 15037, 15033, 15034, 15035 -12069 , 14736, 14734, 14732, 14735, 15033, 15010, 15009, 15034 -12070 , 14755, 14735, 14733, 14754, 15035, 15034, 15032, 15055 -12071 , 14735, 14732, 14729, 14733, 15034, 15009, 15008, 15032 -12072 , 14757, 14737, 14736, 14756, 15039, 15036, 15033, 15037 -12073 , 14737, 14706, 14734, 14736, 15036, 15011, 15010, 15033 -12074 , 14758, 14738, 14737, 14757, 15040, 15038, 15036, 15039 -12075 , 14738, 14708, 14706, 14737, 15038, 15012, 15011, 15036 -12076 , 14759, 14739, 14738, 14758, 15041, 15015, 15038, 15040 -12077 , 14760, 14740, 14739, 14759, 15042, 15017, 15015, 15041 -12078 , 14761, 14741, 14740, 14760, 15043, 15019, 15017, 15042 -12079 , 14762, 14742, 14741, 14761, 15044, 15021, 15019, 15043 -12080 , 14763, 14743, 14742, 14762, 15045, 15023, 15021, 15044 -12081 , 14765, 14744, 14743, 14763, 15046, 15025, 15023, 15045 -12082 , 14766, 14746, 14744, 14765, 15048, 15027, 15025, 15046 -12083 , 14768, 14747, 14746, 14766, 15051, 15047, 15027, 15048 -12084 , 12814, 14603, 14615, 12817, 12890, 15049, 15067, 12893 -12085 , 14770, 14767, 14747, 14768, 15052, 15050, 15047, 15051 -12086 , 14767, 14749, 14745, 14747, 15050, 15029, 15028, 15047 -12087 , 14771, 14769, 14767, 14770, 15069, 15053, 15050, 15052 -12088 , 14769, 14772, 14749, 14767, 15053, 15031, 15029, 15050 -12089 , 8102, 8101, 8108, 8103, 14769, 14773, 15054, 15053 -12090 , 7971, 7970, 8109, 8101, 14774, 14797, 14794, 14773 -12091 , 8101, 8109, 8110, 8108, 14773, 14794, 15072, 15054 -12092 , 8104, 8111, 7975, 7968, 14752, 14777, 14800, 14775 -12093 , 8105, 8112, 8111, 8104, 14753, 14778, 14777, 14752 -12094 , 8106, 8113, 8112, 8105, 14754, 14779, 14778, 14753 -12095 , 8107, 8114, 8113, 8106, 15055, 15074, 14779, 14754 -12096 , 14781, 14756, 14755, 14780, 15057, 15037, 15035, 15056 -12097 , 14780, 14755, 14754, 14779, 15056, 15035, 15055, 15074 -12098 , 14782, 14757, 14756, 14781, 15058, 15039, 15037, 15057 -12099 , 14783, 14758, 14757, 14782, 15059, 15040, 15039, 15058 -12100 , 14784, 14759, 14758, 14783, 15060, 15041, 15040, 15059 -12101 , 14786, 14760, 14759, 14784, 15061, 15042, 15041, 15060 -12102 , 14787, 14761, 14760, 14786, 15062, 15043, 15042, 15061 -12103 , 14788, 14762, 14761, 14787, 15063, 15044, 15043, 15062 -12104 , 14789, 14763, 14762, 14788, 15064, 15045, 15044, 15063 -12105 , 14790, 14765, 14763, 14789, 15065, 15046, 15045, 15064 -12106 , 14791, 14766, 14765, 14790, 15066, 15048, 15046, 15065 -12107 , 14792, 14768, 14766, 14791, 15068, 15051, 15048, 15066 -12108 , 12817, 14615, 14627, 12820, 12893, 15067, 15084, 12896 -12109 , 14793, 14770, 14768, 14792, 15070, 15052, 15051, 15068 -12110 , 14795, 14771, 14770, 14793, 15071, 15069, 15052, 15070 -12111 , 14796, 14794, 14771, 14795, 15090, 15072, 15069, 15071 -12112 , 14794, 14773, 14769, 14771, 15072, 15054, 15053, 15069 -12113 , 7970, 8115, 8116, 8109, 14797, 14819, 14796, 14794 -12114 , 8109, 8116, 8117, 8110, 14794, 14796, 15090, 15072 -12115 , 7976, 7978, 8115, 7970, 14798, 14822, 14819, 14797 -12116 , 7975, 8118, 7982, 7981, 14800, 14825, 14824, 14799 -12117 , 8111, 8119, 8118, 7975, 14777, 14801, 14825, 14800 -12118 , 8112, 8120, 8119, 8111, 14778, 14802, 14801, 14777 -12119 , 8112, 8113, 8114, 8121, 14778, 14779, 15074, 15073 -12120 , 8121, 8122, 8120, 8112, 15073, 15093, 14802, 14778 -12121 , 14806, 14781, 14780, 14805, 15076, 15057, 15056, 15075 -12122 , 14805, 14780, 14779, 14803, 15075, 15056, 15074, 15094 -12123 , 14807, 14782, 14781, 14806, 15077, 15058, 15057, 15076 -12124 , 14808, 14783, 14782, 14807, 15078, 15059, 15058, 15077 -12125 , 14809, 14784, 14783, 14808, 15079, 15060, 15059, 15078 -12126 , 14810, 14786, 14784, 14809, 15080, 15061, 15060, 15079 -12127 , 14811, 14787, 14786, 14810, 15081, 15062, 15061, 15080 -12128 , 14812, 14788, 14787, 14811, 15082, 15063, 15062, 15081 -12129 , 14813, 14789, 14788, 14812, 15083, 15064, 15063, 15082 -12130 , 14814, 14790, 14789, 14813, 15085, 15065, 15064, 15083 -12131 , 12820, 14627, 14649, 12823, 12896, 15084, 15105, 12903 -12132 , 14815, 14791, 14790, 14814, 15086, 15066, 15065, 15085 -12133 , 14816, 14792, 14791, 14815, 15087, 15068, 15066, 15086 -12134 , 14817, 14793, 14792, 14816, 15088, 15070, 15068, 15087 -12135 , 14818, 14795, 14793, 14817, 15089, 15071, 15070, 15088 -12136 , 14820, 14796, 14795, 14818, 15112, 15090, 15071, 15089 -12137 , 8116, 8115, 8123, 8117, 14796, 14819, 15091, 15090 -12138 , 7978, 7984, 8124, 8115, 14822, 14847, 14821, 14819 -12139 , 8115, 8124, 8125, 8123, 14819, 14821, 15115, 15091 -12140 , 8118, 8126, 7987, 7982, 14825, 14826, 14849, 14824 -12141 , 8119, 8127, 8126, 8118, 14801, 14827, 14826, 14825 -12142 , 8119, 8120, 8122, 8128, 14801, 14802, 15093, 15092 -12143 , 8128, 8129, 8127, 8119, 15092, 15117, 14827, 14801 -12144 , 14830, 14805, 14803, 14829, 15096, 15075, 15094, 15095 -12145 , 14829, 14803, 14802, 14828, 15095, 15094, 15093, 15118 -12146 , 14803, 14779, 14778, 14802, 15094, 15074, 15073, 15093 -12147 , 14831, 14806, 14805, 14830, 15097, 15076, 15075, 15096 -12148 , 14832, 14807, 14806, 14831, 15098, 15077, 15076, 15097 -12149 , 14833, 14808, 14807, 14832, 15099, 15078, 15077, 15098 -12150 , 14834, 14809, 14808, 14833, 15102, 15079, 15078, 15099 -12151 , 15100, 15101, 12322, 12340, 15254, 13970, 12260, 12267 -12152 , 12322, 15101, 15100, 12340, 12418, 13115, 13143, 12425 -12153 , 14835, 14810, 14809, 14834, 15103, 15080, 15079, 15102 -12154 , 14836, 14811, 14810, 14835, 15104, 15081, 15080, 15103 -12155 , 14837, 14812, 14811, 14836, 15106, 15082, 15081, 15104 -12156 , 12823, 14649, 14670, 12826, 12903, 15105, 15125, 12906 -12157 , 14838, 14813, 14812, 14837, 15107, 15083, 15082, 15106 -12158 , 13970, 15101, 12322, 12260, 12239, 14962, 12320, 12238 -12159 , 14839, 14814, 14813, 14838, 15108, 15085, 15083, 15107 -12160 , 12320, 14962, 15101, 12322, 12410, 13081, 13115, 12418 -12161 , 14840, 14815, 14814, 14839, 15109, 15086, 15085, 15108 -12162 , 14841, 14816, 14815, 14840, 15110, 15087, 15086, 15109 -12163 , 14842, 14817, 14816, 14841, 15111, 15088, 15087, 15110 -12164 , 14843, 14818, 14817, 14842, 15113, 15089, 15088, 15111 -12165 , 14844, 14820, 14818, 14843, 15114, 15112, 15089, 15113 -12166 , 14846, 14821, 14820, 14844, 15136, 15115, 15112, 15114 -12167 , 14821, 14819, 14796, 14820, 15115, 15091, 15090, 15112 -12168 , 8124, 7984, 8130, 8125, 14821, 14847, 15116, 15115 -12169 , 7988, 7990, 8131, 7984, 14848, 14871, 14869, 14847 -12170 , 7984, 8131, 8132, 8130, 14847, 14869, 15139, 15116 -12171 , 8126, 8133, 7992, 7987, 14826, 14850, 14873, 14849 -12172 , 8127, 8134, 8133, 8126, 14827, 14851, 14850, 14826 -12173 , 8129, 8135, 8134, 8127, 15117, 15140, 14851, 14827 -12174 , 14853, 14829, 14828, 14852, 15120, 15095, 15118, 15119 -12175 , 14828, 14802, 14801, 14827, 15118, 15093, 15092, 15117 -12176 , 14852, 14828, 14827, 14851, 15119, 15118, 15117, 15140 -12177 , 14854, 14830, 14829, 14853, 15121, 15096, 15095, 15120 -12178 , 14855, 14831, 14830, 14854, 15122, 15097, 15096, 15121 -12179 , 14856, 14832, 14831, 14855, 15123, 15098, 15097, 15122 -12180 , 14857, 14833, 14832, 14856, 15124, 15099, 15098, 15123 -12181 , 14858, 14834, 14833, 14857, 15126, 15102, 15099, 15124 -12182 , 12826, 14670, 14677, 12829, 12906, 15125, 15142, 12909 -12183 , 14859, 14835, 14834, 14858, 15127, 15103, 15102, 15126 -12184 , 14860, 14836, 14835, 14859, 15128, 15104, 15103, 15127 -12185 , 14861, 14837, 14836, 14860, 15129, 15106, 15104, 15128 -12186 , 14862, 14838, 14837, 14861, 15130, 15107, 15106, 15129 -12187 , 14863, 14839, 14838, 14862, 15131, 15108, 15107, 15130 -12188 , 14864, 14840, 14839, 14863, 15132, 15109, 15108, 15131 -12189 , 14865, 14841, 14840, 14864, 15133, 15110, 15109, 15132 -12190 , 14866, 14842, 14841, 14865, 15134, 15111, 15110, 15133 -12191 , 14867, 14843, 14842, 14866, 15135, 15113, 15111, 15134 -12192 , 14868, 14844, 14843, 14867, 15137, 15114, 15113, 15135 -12193 , 14870, 14846, 14844, 14868, 15138, 15136, 15114, 15137 -12194 , 14872, 14869, 14846, 14870, 15158, 15139, 15136, 15138 -12195 , 14869, 14847, 14821, 14846, 15139, 15116, 15115, 15136 -12196 , 7990, 7994, 7998, 8131, 14871, 14894, 14872, 14869 -12197 , 8131, 7998, 8136, 8132, 14869, 14872, 15158, 15139 -12198 , 8133, 8000, 7995, 7992, 14850, 14874, 14895, 14873 -12199 , 8134, 8002, 8000, 8133, 14851, 14875, 14874, 14850 -12200 , 8137, 8005, 8002, 8134, 14852, 14876, 14875, 14851 -12201 , 8135, 8138, 8137, 8134, 15140, 15119, 14852, 14851 -12202 , 8139, 8140, 8005, 8137, 14853, 14877, 14876, 14852 -12203 , 8138, 8141, 8139, 8137, 15119, 15120, 14853, 14852 -12204 , 8141, 8142, 8140, 8139, 15120, 15160, 14877, 14853 -12205 , 14879, 14855, 14854, 14878, 15143, 15122, 15121, 15141 -12206 , 14878, 14854, 14853, 14877, 15141, 15121, 15120, 15160 -12207 , 12829, 14677, 14687, 12832, 12909, 15142, 15159, 12912 -12208 , 14880, 14856, 14855, 14879, 15144, 15123, 15122, 15143 -12209 , 14881, 14857, 14856, 14880, 15145, 15124, 15123, 15144 -12210 , 14882, 14858, 14857, 14881, 15146, 15126, 15124, 15145 -12211 , 14883, 14859, 14858, 14882, 15147, 15127, 15126, 15146 -12212 , 14884, 14860, 14859, 14883, 15148, 15128, 15127, 15147 -12213 , 14885, 14861, 14860, 14884, 15149, 15129, 15128, 15148 -12214 , 14886, 14862, 14861, 14885, 15150, 15130, 15129, 15149 -12215 , 14887, 14863, 14862, 14886, 15151, 15131, 15130, 15150 -12216 , 14888, 14864, 14863, 14887, 15152, 15132, 15131, 15151 -12217 , 14889, 14865, 14864, 14888, 15153, 15133, 15132, 15152 -12218 , 14890, 14866, 14865, 14889, 15154, 15134, 15133, 15153 -12219 , 14891, 14867, 14866, 14890, 15155, 15135, 15134, 15154 -12220 , 14892, 14868, 14867, 14891, 15156, 15137, 15135, 15155 -12221 , 14893, 14870, 14868, 14892, 15157, 15138, 15137, 15156 -12222 , 14913, 14872, 14870, 14893, 15177, 15158, 15138, 15157 -12223 , 7998, 7999, 8143, 8136, 14872, 14913, 15177, 15158 -12224 , 12832, 14687, 14689, 12837, 12912, 15159, 15178, 12915 -12225 , 8140, 8144, 8006, 8005, 14877, 14896, 14914, 14876 -12226 , 8142, 8145, 8144, 8140, 15160, 15179, 14896, 14877 -12227 , 14898, 14879, 14878, 14897, 15162, 15143, 15141, 15161 -12228 , 14897, 14878, 14877, 14896, 15161, 15141, 15160, 15179 -12229 , 14899, 14880, 14879, 14898, 15163, 15144, 15143, 15162 -12230 , 14900, 14881, 14880, 14899, 15164, 15145, 15144, 15163 -12231 , 14901, 14882, 14881, 14900, 15165, 15146, 15145, 15164 -12232 , 14902, 14883, 14882, 14901, 15166, 15147, 15146, 15165 -12233 , 14903, 14884, 14883, 14902, 15167, 15148, 15147, 15166 -12234 , 14904, 14885, 14884, 14903, 15168, 15149, 15148, 15167 -12235 , 14905, 14886, 14885, 14904, 15169, 15150, 15149, 15168 -12236 , 14906, 14887, 14886, 14905, 15170, 15151, 15150, 15169 -12237 , 14907, 14888, 14887, 14906, 15171, 15152, 15151, 15170 -12238 , 14908, 14889, 14888, 14907, 15172, 15153, 15152, 15171 -12239 , 14909, 14890, 14889, 14908, 15173, 15154, 15153, 15172 -12240 , 14910, 14891, 14890, 14909, 15174, 15155, 15154, 15173 -12241 , 14911, 14892, 14891, 14910, 15175, 15156, 15155, 15174 -12242 , 14912, 14893, 14892, 14911, 15176, 15157, 15156, 15175 -12243 , 14932, 14913, 14893, 14912, 15195, 15177, 15157, 15176 -12244 , 7999, 8008, 8146, 8143, 14913, 14932, 15195, 15177 -12245 , 8144, 8147, 8009, 8006, 14896, 14915, 14933, 14914 -12246 , 12837, 14689, 14690, 12839, 12915, 15178, 15198, 12917 -12247 , 8145, 8148, 8147, 8144, 15179, 15197, 14915, 14896 -12248 , 14917, 14898, 14897, 14916, 15181, 15162, 15161, 15180 -12249 , 14916, 14897, 14896, 14915, 15180, 15161, 15179, 15197 -12250 , 14918, 14899, 14898, 14917, 15182, 15163, 15162, 15181 -12251 , 14919, 14900, 14899, 14918, 15183, 15164, 15163, 15182 -12252 , 14920, 14901, 14900, 14919, 15184, 15165, 15164, 15183 -12253 , 14921, 14902, 14901, 14920, 15185, 15166, 15165, 15184 -12254 , 14922, 14903, 14902, 14921, 15186, 15167, 15166, 15185 -12255 , 14923, 14904, 14903, 14922, 15187, 15168, 15167, 15186 -12256 , 14924, 14905, 14904, 14923, 15188, 15169, 15168, 15187 -12257 , 14925, 14906, 14905, 14924, 15189, 15170, 15169, 15188 -12258 , 14926, 14907, 14906, 14925, 15190, 15171, 15170, 15189 -12259 , 14927, 14908, 14907, 14926, 15191, 15172, 15171, 15190 -12260 , 14928, 14909, 14908, 14927, 15192, 15173, 15172, 15191 -12261 , 14929, 14910, 14909, 14928, 15193, 15174, 15173, 15192 -12262 , 14930, 14911, 14910, 14929, 15194, 15175, 15174, 15193 -12263 , 14931, 14912, 14911, 14930, 15196, 15176, 15175, 15194 -12264 , 14951, 14932, 14912, 14931, 15215, 15195, 15176, 15196 -12265 , 8008, 8011, 8149, 8146, 14932, 14951, 15215, 15195 -12266 , 8147, 8150, 8012, 8009, 14915, 14934, 14952, 14933 -12267 , 8148, 8151, 8150, 8147, 15197, 15216, 14934, 14915 -12268 , 12917, 15198, 14690, 12839, 12982, 15494, 15199, 12920 -12269 , 14936, 14917, 14916, 14935, 15201, 15181, 15180, 15200 -12270 , 14935, 14916, 14915, 14934, 15200, 15180, 15197, 15216 -12271 , 14937, 14918, 14917, 14936, 15202, 15182, 15181, 15201 -12272 , 14938, 14919, 14918, 14937, 15203, 15183, 15182, 15202 -12273 , 14939, 14920, 14919, 14938, 15204, 15184, 15183, 15203 -12274 , 14940, 14921, 14920, 14939, 15205, 15185, 15184, 15204 -12275 , 14941, 14922, 14921, 14940, 15206, 15186, 15185, 15205 -12276 , 14942, 14923, 14922, 14941, 15207, 15187, 15186, 15206 -12277 , 14943, 14924, 14923, 14942, 15208, 15188, 15187, 15207 -12278 , 14944, 14925, 14924, 14943, 15209, 15189, 15188, 15208 -12279 , 14945, 14926, 14925, 14944, 15210, 15190, 15189, 15209 -12280 , 14946, 14927, 14926, 14945, 15211, 15191, 15190, 15210 -12281 , 14947, 14928, 14927, 14946, 15212, 15192, 15191, 15211 -12282 , 14948, 14929, 14928, 14947, 15213, 15193, 15192, 15212 -12283 , 14949, 14930, 14929, 14948, 15214, 15194, 15193, 15213 -12284 , 14950, 14931, 14930, 14949, 15232, 15196, 15194, 15214 -12285 , 8011, 8014, 8152, 8153, 14951, 14971, 14950, 14931 -12286 , 8154, 8149, 8011, 8153, 15196, 15215, 14951, 14931 -12287 , 8153, 8152, 8155, 8154, 14931, 14950, 15232, 15196 -12288 , 8150, 8156, 8015, 8012, 14934, 14953, 14972, 14952 -12289 , 8151, 8157, 8156, 8150, 15216, 15233, 14953, 14934 -12290 , 14955, 14936, 14935, 14954, 15218, 15201, 15200, 15217 -12291 , 14954, 14935, 14934, 14953, 15217, 15200, 15216, 15233 -12292 , 7944, 8158, 7185, 7177, 15199, 15235, 12923, 12920 -12293 , 14956, 14937, 14936, 14955, 15219, 15202, 15201, 15218 -12294 , 14957, 14938, 14937, 14956, 15220, 15203, 15202, 15219 -12295 , 14958, 14939, 14938, 14957, 15221, 15204, 15203, 15220 -12296 , 14959, 14940, 14939, 14958, 15222, 15205, 15204, 15221 -12297 , 14960, 14941, 14940, 14959, 15223, 15206, 15205, 15222 -12298 , 14961, 14942, 14941, 14960, 15224, 15207, 15206, 15223 -12299 , 14963, 14943, 14942, 14961, 15225, 15208, 15207, 15224 -12300 , 14964, 14944, 14943, 14963, 15226, 15209, 15208, 15225 -12301 , 14965, 14945, 14944, 14964, 15227, 15210, 15209, 15226 -12302 , 14966, 14946, 14945, 14965, 15228, 15211, 15210, 15227 -12303 , 14967, 14947, 14946, 14966, 15229, 15212, 15211, 15228 -12304 , 14968, 14948, 14947, 14967, 15230, 15213, 15212, 15229 -12305 , 14969, 14949, 14948, 14968, 15231, 15214, 15213, 15230 -12306 , 14970, 14950, 14949, 14969, 15244, 15232, 15214, 15231 -12307 , 8014, 8016, 8159, 8152, 14971, 14980, 14970, 14950 -12308 , 8152, 8159, 8160, 8155, 14950, 14970, 15244, 15232 -12309 , 8156, 8021, 8017, 8015, 14953, 14973, 14982, 14972 -12310 , 8161, 8022, 8021, 8156, 14954, 14974, 14973, 14953 -12311 , 8157, 8162, 8161, 8156, 15233, 15217, 14954, 14953 -12312 , 8162, 8163, 8022, 8161, 15217, 15246, 14974, 14954 -12313 , 14976, 14956, 14955, 14975, 15236, 15219, 15218, 15234 -12314 , 14975, 14955, 14954, 14974, 15234, 15218, 15217, 15246 -12315 , 8158, 8164, 7187, 7185, 15235, 15497, 12985, 12923 -12316 , 14985, 14957, 14956, 14976, 15237, 15220, 15219, 15236 -12317 , 14653, 14654, 14958, 14957, 14683, 14977, 14986, 14985 -12318 , 14986, 14958, 14957, 14985, 15238, 15221, 15220, 15237 -12319 , 14654, 14655, 14959, 14958, 14977, 14978, 14987, 14986 -12320 , 14987, 14959, 14958, 14986, 15239, 15222, 15221, 15238 -12321 , 14959, 14960, 15223, 15222, 14987, 14988, 15240, 15239 -12322 , 14655, 14656, 14960, 14959, 14978, 11668, 14988, 14987 -12323 , 14960, 14961, 15224, 15223, 14988, 11702, 15241, 15240 -12324 , 14961, 14963, 15225, 15224, 11702, 11670, 11718, 15241 -12325 , 11672, 14964, 14963, 11670, 11704, 15226, 15225, 11718 -12326 , 11674, 14965, 14964, 11672, 11706, 15227, 15226, 11704 -12327 , 11676, 14966, 14965, 11674, 11719, 15228, 15227, 11706 -12328 , 14966, 14967, 15229, 15228, 11676, 11678, 15242, 11719 -12329 , 14967, 14968, 15230, 15229, 11678, 11707, 15243, 15242 -12330 , 14979, 14969, 14968, 11707, 15245, 15231, 15230, 15243 -12331 , 14981, 14970, 14969, 14979, 15249, 15244, 15231, 15245 -12332 , 8016, 8020, 8039, 8159, 14980, 14989, 14981, 14970 -12333 , 8159, 8039, 8165, 8160, 14970, 14981, 15249, 15244 -12334 , 8166, 8040, 8023, 8022, 14975, 14991, 14990, 14974 -12335 , 8163, 8167, 8166, 8022, 15246, 15234, 14975, 14974 -12336 , 8167, 8168, 8040, 8166, 15234, 15250, 14991, 14975 -12337 , 14681, 14682, 14976, 14975, 14686, 14983, 14992, 14991 -12338 , 14682, 14683, 14985, 14976, 14983, 14984, 14993, 14992 -12339 , 14993, 14985, 14976, 14992, 15251, 15237, 15236, 15247 -12340 , 14992, 14976, 14975, 14991, 15247, 15236, 15234, 15250 -12341 , 8169, 7963, 7962, 7180, 15248, 15252, 12850, 12926 -12342 , 15248, 12926, 7180, 8169, 15499, 12991, 7192, 8170 -12343 , 8171, 8172, 8027, 8026, 15237, 15238, 14986, 14985 -12344 , 8026, 8028, 8173, 8171, 14985, 14993, 15251, 15237 -12345 , 8172, 8174, 8029, 8027, 15238, 15239, 14987, 14986 -12346 , 8174, 8175, 8030, 8029, 15239, 15240, 14988, 14987 -12347 , 8175, 8176, 8032, 8030, 15240, 15241, 11702, 14988 -12348 , 8176, 8179, 8177, 8032, 15241, 11718, 11670, 11702 -12349 , 8185, 8186, 8181, 8184, 11719, 15242, 11678, 11676 -12350 , 8186, 8188, 8036, 8181, 15242, 15243, 11707, 11678 -12351 , 8188, 8189, 8037, 8036, 15243, 15245, 14979, 11707 -12352 , 8189, 8165, 8039, 8037, 15245, 15249, 14981, 14979 -12353 , 8168, 8190, 8041, 8040, 15250, 15247, 14992, 14991 -12354 , 8190, 8173, 8028, 8041, 15247, 15251, 14993, 14992 -12355 , 15253, 15100, 12340, 12333, 15400, 15254, 12267, 12270 -12356 , 12340, 15100, 15253, 12333, 12425, 13143, 13201, 12339 -12357 , 12854, 14764, 14785, 12858, 12931, 15255, 15261, 12934 -12358 , 12850, 15252, 14764, 12854, 12998, 15500, 15255, 12931 -12359 , 8075, 8204, 8077, 8076, 14998, 15014, 15012, 14997 -12360 , 8078, 8205, 8204, 8075, 14999, 15013, 15014, 14998 -12361 , 8079, 8206, 8205, 8078, 15000, 15016, 15013, 14999 -12362 , 8079, 8080, 8207, 8208, 15000, 15002, 15257, 15256 -12363 , 8208, 8209, 8206, 8079, 15256, 15263, 15016, 15000 -12364 , 8080, 8081, 8210, 8207, 15002, 15003, 15258, 15257 -12365 , 8082, 8211, 8212, 8081, 15004, 15022, 15020, 15003 -12366 , 8081, 8212, 8213, 8210, 15003, 15020, 15266, 15258 -12367 , 8083, 8214, 8211, 8082, 15005, 15024, 15022, 15004 -12368 , 8084, 8088, 8214, 8083, 15007, 15028, 15024, 15005 -12369 , 8092, 8215, 8094, 8093, 15009, 15034, 15032, 15008 -12370 , 8095, 8216, 8215, 8092, 15010, 15033, 15034, 15009 -12371 , 8096, 8217, 8216, 8095, 15011, 15036, 15033, 15010 -12372 , 8077, 8218, 8217, 8096, 15012, 15038, 15036, 15011 -12373 , 8077, 8204, 8219, 8220, 15012, 15014, 15260, 15259 -12374 , 8220, 8221, 8218, 8077, 15259, 15269, 15038, 15012 -12375 , 8204, 8205, 8222, 8219, 15014, 15013, 15262, 15260 -12376 , 12858, 14785, 14804, 12861, 12934, 15261, 15282, 12938 -12377 , 8205, 8206, 8209, 8222, 15013, 15016, 15263, 15262 -12378 , 15021, 15018, 15016, 15019, 15264, 15265, 15263, 15273 -12379 , 15023, 15020, 15018, 15021, 15276, 15266, 15265, 15264 -12380 , 15018, 15002, 15000, 15016, 15265, 15257, 15256, 15263 -12381 , 15020, 15003, 15002, 15018, 15266, 15258, 15257, 15265 -12382 , 8212, 8211, 8223, 8213, 15020, 15022, 15267, 15266 -12383 , 8211, 8214, 8224, 8223, 15022, 15024, 15268, 15267 -12384 , 8088, 8225, 8226, 8214, 15028, 15047, 15027, 15024 -12385 , 8214, 8226, 8227, 8224, 15024, 15027, 15281, 15268 -12386 , 8097, 8228, 8225, 8088, 15029, 15050, 15047, 15028 -12387 , 8099, 8103, 8228, 8097, 15031, 15053, 15050, 15029 -12388 , 8215, 8229, 8107, 8094, 15034, 15035, 15055, 15032 -12389 , 8216, 8230, 8229, 8215, 15033, 15037, 15035, 15034 -12390 , 8217, 8231, 8230, 8216, 15036, 15039, 15037, 15033 -12391 , 8218, 8232, 8231, 8217, 15038, 15040, 15039, 15036 -12392 , 8221, 8233, 8232, 8218, 15269, 15284, 15040, 15038 -12393 , 15042, 15017, 15015, 15041, 15274, 15270, 15271, 15272 -12394 , 15017, 15013, 15014, 15015, 15270, 15262, 15260, 15271 -12395 , 15041, 15015, 15038, 15040, 15272, 15271, 15269, 15284 -12396 , 15015, 15014, 15012, 15038, 15271, 15260, 15259, 15269 -12397 , 15043, 15019, 15017, 15042, 15275, 15273, 15270, 15274 -12398 , 15019, 15016, 15013, 15017, 15273, 15263, 15262, 15270 -12399 , 15044, 15021, 15019, 15043, 15277, 15264, 15273, 15275 -12400 , 15045, 15023, 15021, 15044, 15279, 15276, 15264, 15277 -12401 , 15046, 15025, 15023, 15045, 15280, 15278, 15276, 15279 -12402 , 15025, 15022, 15020, 15023, 15278, 15267, 15266, 15276 -12403 , 15048, 15027, 15025, 15046, 15290, 15281, 15278, 15280 -12404 , 15027, 15024, 15022, 15025, 15281, 15268, 15267, 15278 -12405 , 12861, 14804, 14823, 12864, 12938, 15282, 15296, 12941 -12406 , 8226, 8225, 8234, 8227, 15027, 15047, 15283, 15281 -12407 , 8228, 8235, 8236, 8225, 15050, 15052, 15051, 15047 -12408 , 8225, 8236, 8237, 8234, 15047, 15051, 15293, 15283 -12409 , 8103, 8238, 8235, 8228, 15053, 15069, 15052, 15050 -12410 , 8108, 8110, 8238, 8103, 15054, 15072, 15069, 15053 -12411 , 8229, 8239, 8114, 8107, 15035, 15056, 15074, 15055 -12412 , 8230, 8240, 8239, 8229, 15037, 15057, 15056, 15035 -12413 , 8231, 8241, 8240, 8230, 15039, 15058, 15057, 15037 -12414 , 8232, 8242, 8241, 8231, 15040, 15059, 15058, 15039 -12415 , 8233, 8243, 8242, 8232, 15284, 15297, 15059, 15040 -12416 , 15061, 15042, 15041, 15060, 15286, 15274, 15272, 15285 -12417 , 15060, 15041, 15040, 15059, 15285, 15272, 15284, 15297 -12418 , 15062, 15043, 15042, 15061, 15287, 15275, 15274, 15286 -12419 , 15063, 15044, 15043, 15062, 15288, 15277, 15275, 15287 -12420 , 15064, 15045, 15044, 15063, 15289, 15279, 15277, 15288 -12421 , 15065, 15046, 15045, 15064, 15291, 15280, 15279, 15289 -12422 , 15066, 15048, 15046, 15065, 15292, 15290, 15280, 15291 -12423 , 15068, 15051, 15048, 15066, 15304, 15293, 15290, 15292 -12424 , 15051, 15047, 15027, 15048, 15293, 15283, 15281, 15290 -12425 , 8236, 8235, 8244, 8237, 15051, 15052, 15294, 15293 -12426 , 8235, 8238, 8245, 8244, 15052, 15069, 15295, 15294 -12427 , 8110, 8117, 8246, 8238, 15072, 15090, 15071, 15069 -12428 , 8238, 8246, 8247, 8245, 15069, 15071, 15309, 15295 -12429 , 12864, 14823, 14845, 12867, 12941, 15296, 15311, 12944 -12430 , 8114, 8248, 8122, 8121, 15074, 15094, 15093, 15073 -12431 , 8239, 8249, 8248, 8114, 15056, 15075, 15094, 15074 -12432 , 8240, 8250, 8249, 8239, 15057, 15076, 15075, 15056 -12433 , 8241, 8251, 8250, 8240, 15058, 15077, 15076, 15057 -12434 , 8242, 8252, 8251, 8241, 15059, 15078, 15077, 15058 -12435 , 8243, 8253, 8252, 8242, 15297, 15314, 15078, 15059 -12436 , 15080, 15061, 15060, 15079, 15299, 15286, 15285, 15298 -12437 , 15079, 15060, 15059, 15078, 15298, 15285, 15297, 15314 -12438 , 15081, 15062, 15061, 15080, 15300, 15287, 15286, 15299 -12439 , 15082, 15063, 15062, 15081, 15301, 15288, 15287, 15300 -12440 , 15083, 15064, 15063, 15082, 15302, 15289, 15288, 15301 -12441 , 15085, 15065, 15064, 15083, 15303, 15291, 15289, 15302 -12442 , 15086, 15066, 15065, 15085, 15305, 15292, 15291, 15303 -12443 , 15087, 15068, 15066, 15086, 15307, 15304, 15292, 15305 -12444 , 15088, 15070, 15068, 15087, 15308, 15306, 15304, 15307 -12445 , 15070, 15052, 15051, 15068, 15306, 15294, 15293, 15304 -12446 , 15089, 15071, 15070, 15088, 15323, 15309, 15306, 15308 -12447 , 15071, 15069, 15052, 15070, 15309, 15295, 15294, 15306 -12448 , 8246, 8117, 8254, 8247, 15071, 15090, 15310, 15309 -12449 , 8123, 8125, 8255, 8117, 15091, 15115, 15112, 15090 -12450 , 8117, 8255, 8256, 8254, 15090, 15112, 15326, 15310 -12451 , 8122, 8257, 8129, 8128, 15093, 15118, 15117, 15092 -12452 , 14845, 10909, 10910, 12867, 15311, 10930, 10912, 12944 -12453 , 8248, 8258, 8257, 8122, 15094, 15095, 15118, 15093 -12454 , 8249, 8259, 8258, 8248, 15075, 15096, 15095, 15094 -12455 , 8250, 8260, 8259, 8249, 15076, 15097, 15096, 15075 -12456 , 8250, 8251, 8261, 8262, 15076, 15077, 15313, 15312 -12457 , 8262, 8263, 8260, 8250, 15312, 15328, 15097, 15076 -12458 , 8251, 8252, 8253, 8261, 15077, 15078, 15314, 15313 -12459 , 15103, 15080, 15079, 15102, 15316, 15299, 15298, 15315 -12460 , 15102, 15079, 15078, 15099, 15315, 15298, 15314, 15329 -12461 , 15104, 15081, 15080, 15103, 15317, 15300, 15299, 15316 -12462 , 15106, 15082, 15081, 15104, 15318, 15301, 15300, 15317 -12463 , 15107, 15083, 15082, 15106, 15319, 15302, 15301, 15318 -12464 , 15108, 15085, 15083, 15107, 15320, 15303, 15302, 15319 -12465 , 15109, 15086, 15085, 15108, 15321, 15305, 15303, 15320 -12466 , 15110, 15087, 15086, 15109, 15322, 15307, 15305, 15321 -12467 , 15111, 15088, 15087, 15110, 15324, 15308, 15307, 15322 -12468 , 15113, 15089, 15088, 15111, 15325, 15323, 15308, 15324 -12469 , 15114, 15112, 15089, 15113, 15342, 15326, 15323, 15325 -12470 , 15112, 15090, 15071, 15089, 15326, 15310, 15309, 15323 -12471 , 8255, 8125, 8264, 8256, 15112, 15115, 15327, 15326 -12472 , 8130, 8132, 8265, 8125, 15116, 15139, 15136, 15115 -12473 , 8125, 8265, 8266, 8264, 15115, 15136, 15345, 15327 -12474 , 8257, 8138, 8135, 8129, 15118, 15119, 15140, 15117 -12475 , 8258, 8141, 8138, 8257, 15095, 15120, 15119, 15118 -12476 , 12340, 12267, 12260, 12322, 12265, 12257, 12258, 12259 -12477 , 8259, 8267, 8141, 8258, 15096, 15121, 15120, 15095 -12478 , 8260, 8268, 8267, 8259, 15097, 15122, 15121, 15096 -12479 , 8263, 8269, 8268, 8260, 15328, 15346, 15122, 15097 -12480 , 15124, 15099, 15098, 15123, 15332, 15329, 15330, 15331 -12481 , 15099, 15078, 15077, 15098, 15329, 15314, 15313, 15330 -12482 , 15098, 15077, 15076, 15097, 15330, 15313, 15312, 15328 -12483 , 15123, 15098, 15097, 15122, 15331, 15330, 15328, 15346 -12484 , 15126, 15102, 15099, 15124, 15333, 15315, 15329, 15332 -12485 , 15127, 15103, 15102, 15126, 15334, 15316, 15315, 15333 -12486 , 15128, 15104, 15103, 15127, 15335, 15317, 15316, 15334 -12487 , 15129, 15106, 15104, 15128, 15336, 15318, 15317, 15335 -12488 , 15130, 15107, 15106, 15129, 15337, 15319, 15318, 15336 -12489 , 15131, 15108, 15107, 15130, 15338, 15320, 15319, 15337 -12490 , 15132, 15109, 15108, 15131, 15339, 15321, 15320, 15338 -12491 , 15133, 15110, 15109, 15132, 15340, 15322, 15321, 15339 -12492 , 15134, 15111, 15110, 15133, 15341, 15324, 15322, 15340 -12493 , 15135, 15113, 15111, 15134, 15343, 15325, 15324, 15341 -12494 , 15137, 15114, 15113, 15135, 15344, 15342, 15325, 15343 -12495 , 15138, 15136, 15114, 15137, 15358, 15345, 15342, 15344 -12496 , 15136, 15115, 15112, 15114, 15345, 15327, 15326, 15342 -12497 , 8132, 8136, 8270, 8265, 15139, 15158, 15138, 15136 -12498 , 8265, 8270, 8271, 8266, 15136, 15138, 15358, 15345 -12499 , 8267, 8272, 8142, 8141, 15121, 15141, 15160, 15120 -12500 , 8268, 8273, 8272, 8267, 15122, 15143, 15141, 15121 -12501 , 8274, 8275, 8273, 8268, 15123, 15144, 15143, 15122 -12502 , 8269, 8276, 8274, 8268, 15346, 15331, 15123, 15122 -12503 , 8276, 8277, 8275, 8274, 15331, 15360, 15144, 15123 -12504 , 15146, 15126, 15124, 15145, 15348, 15333, 15332, 15347 -12505 , 15145, 15124, 15123, 15144, 15347, 15332, 15331, 15360 -12506 , 15147, 15127, 15126, 15146, 15349, 15334, 15333, 15348 -12507 , 15148, 15128, 15127, 15147, 15350, 15335, 15334, 15349 -12508 , 15149, 15129, 15128, 15148, 15351, 15336, 15335, 15350 -12509 , 15150, 15130, 15129, 15149, 15352, 15337, 15336, 15351 -12510 , 15151, 15131, 15130, 15150, 15353, 15338, 15337, 15352 -12511 , 15152, 15132, 15131, 15151, 15354, 15339, 15338, 15353 -12512 , 15153, 15133, 15132, 15152, 15355, 15340, 15339, 15354 -12513 , 15154, 15134, 15133, 15153, 15356, 15341, 15340, 15355 -12514 , 15155, 15135, 15134, 15154, 15357, 15343, 15341, 15356 -12515 , 15156, 15137, 15135, 15155, 15359, 15344, 15343, 15357 -12516 , 15157, 15138, 15137, 15156, 15372, 15358, 15344, 15359 -12517 , 8136, 8143, 8278, 8270, 15158, 15177, 15157, 15138 -12518 , 8270, 8278, 8279, 8271, 15138, 15157, 15372, 15358 -12519 , 8272, 8280, 8145, 8142, 15141, 15161, 15179, 15160 -12520 , 8273, 8281, 8280, 8272, 15143, 15162, 15161, 15141 -12521 , 8275, 8282, 8281, 8273, 15144, 15163, 15162, 15143 -12522 , 8277, 8283, 8282, 8275, 15360, 15373, 15163, 15144 -12523 , 15165, 15146, 15145, 15164, 15362, 15348, 15347, 15361 -12524 , 15164, 15145, 15144, 15163, 15361, 15347, 15360, 15373 -12525 , 15166, 15147, 15146, 15165, 15363, 15349, 15348, 15362 -12526 , 15167, 15148, 15147, 15166, 15364, 15350, 15349, 15363 -12527 , 15168, 15149, 15148, 15167, 15365, 15351, 15350, 15364 -12528 , 15169, 15150, 15149, 15168, 15366, 15352, 15351, 15365 -12529 , 15170, 15151, 15150, 15169, 15367, 15353, 15352, 15366 -12530 , 15171, 15152, 15151, 15170, 15368, 15354, 15353, 15367 -12531 , 15172, 15153, 15152, 15171, 15369, 15355, 15354, 15368 -12532 , 15173, 15154, 15153, 15172, 15370, 15356, 15355, 15369 -12533 , 15174, 15155, 15154, 15173, 15371, 15357, 15356, 15370 -12534 , 15175, 15156, 15155, 15174, 15384, 15359, 15357, 15371 -12535 , 8278, 8284, 8285, 8286, 15157, 15176, 15175, 15156 -12536 , 8287, 8279, 8278, 8286, 15359, 15372, 15157, 15156 -12537 , 8286, 8285, 8288, 8287, 15156, 15175, 15384, 15359 -12538 , 8143, 8146, 8284, 8278, 15177, 15195, 15176, 15157 -12539 , 8280, 8289, 8148, 8145, 15161, 15180, 15197, 15179 -12540 , 8281, 8290, 8289, 8280, 15162, 15181, 15180, 15161 -12541 , 8282, 8291, 8290, 8281, 15163, 15182, 15181, 15162 -12542 , 8292, 8293, 8291, 8282, 15164, 15183, 15182, 15163 -12543 , 8283, 8294, 8292, 8282, 15373, 15361, 15164, 15163 -12544 , 8294, 8295, 8293, 8292, 15361, 15385, 15183, 15164 -12545 , 15185, 15166, 15165, 15184, 15375, 15363, 15362, 15374 -12546 , 15184, 15165, 15164, 15183, 15374, 15362, 15361, 15385 -12547 , 15186, 15167, 15166, 15185, 15376, 15364, 15363, 15375 -12548 , 15187, 15168, 15167, 15186, 15377, 15365, 15364, 15376 -12549 , 15188, 15169, 15168, 15187, 15378, 15366, 15365, 15377 -12550 , 15189, 15170, 15169, 15188, 15379, 15367, 15366, 15378 -12551 , 15190, 15171, 15170, 15189, 15380, 15368, 15367, 15379 -12552 , 15191, 15172, 15171, 15190, 15381, 15369, 15368, 15380 -12553 , 15192, 15173, 15172, 15191, 15382, 15370, 15369, 15381 -12554 , 15193, 15174, 15173, 15192, 15383, 15371, 15370, 15382 -12555 , 15194, 15175, 15174, 15193, 15396, 15384, 15371, 15383 -12556 , 8284, 8154, 8296, 8285, 15176, 15196, 15194, 15175 -12557 , 8285, 8296, 8297, 8288, 15175, 15194, 15396, 15384 -12558 , 8146, 8149, 8154, 8284, 15195, 15215, 15196, 15176 -12559 , 8289, 8298, 8151, 8148, 15180, 15200, 15216, 15197 -12560 , 8290, 8299, 8298, 8289, 15181, 15201, 15200, 15180 -12561 , 8291, 8300, 8299, 8290, 15182, 15202, 15201, 15181 -12562 , 8293, 8301, 8300, 8291, 15183, 15203, 15202, 15182 -12563 , 8295, 8302, 8301, 8293, 15385, 15397, 15203, 15183 -12564 , 15205, 15185, 15184, 15204, 15387, 15375, 15374, 15386 -12565 , 15204, 15184, 15183, 15203, 15386, 15374, 15385, 15397 -12566 , 15206, 15186, 15185, 15205, 15388, 15376, 15375, 15387 -12567 , 15207, 15187, 15186, 15206, 15389, 15377, 15376, 15388 -12568 , 15208, 15188, 15187, 15207, 15390, 15378, 15377, 15389 -12569 , 15209, 15189, 15188, 15208, 15391, 15379, 15378, 15390 -12570 , 15210, 15190, 15189, 15209, 15392, 15380, 15379, 15391 -12571 , 15211, 15191, 15190, 15210, 15393, 15381, 15380, 15392 -12572 , 15212, 15192, 15191, 15211, 15394, 15382, 15381, 15393 -12573 , 15213, 15193, 15192, 15212, 15395, 15383, 15382, 15394 -12574 , 15214, 15194, 15193, 15213, 15409, 15396, 15383, 15395 -12575 , 8154, 8155, 8303, 8296, 15196, 15232, 15214, 15194 -12576 , 8296, 8303, 8304, 8297, 15194, 15214, 15409, 15396 -12577 , 8298, 8162, 8157, 8151, 15200, 15217, 15233, 15216 -12578 , 8299, 8305, 8162, 8298, 15201, 15218, 15217, 15200 -12579 , 8300, 8306, 8305, 8299, 15202, 15219, 15218, 15201 -12580 , 8301, 8307, 8306, 8300, 15203, 15220, 15219, 15202 -12581 , 8302, 8308, 8307, 8301, 15397, 15411, 15220, 15203 -12582 , 15222, 15205, 15204, 15221, 15401, 15387, 15386, 15398 -12583 , 15221, 15204, 15203, 15220, 15398, 15386, 15397, 15411 -12584 , 15223, 15206, 15205, 15222, 15402, 15388, 15387, 15401 -12585 , 15399, 15253, 12333, 12334, 15482, 15400, 12270, 12273 -12586 , 12333, 15253, 15399, 12334, 12339, 13201, 13225, 12346 -12587 , 15224, 15207, 15206, 15223, 15403, 15389, 15388, 15402 -12588 , 15225, 15208, 15207, 15224, 15404, 15390, 15389, 15403 -12589 , 15226, 15209, 15208, 15225, 15405, 15391, 15390, 15404 -12590 , 15227, 15210, 15209, 15226, 15406, 15392, 15391, 15405 -12591 , 15228, 15211, 15210, 15227, 15407, 15393, 15392, 15406 -12592 , 15229, 15212, 15211, 15228, 15408, 15394, 15393, 15407 -12593 , 15230, 15213, 15212, 15229, 15410, 15395, 15394, 15408 -12594 , 15231, 15214, 15213, 15230, 15419, 15409, 15395, 15410 -12595 , 8155, 8160, 8309, 8303, 15232, 15244, 15231, 15214 -12596 , 8303, 8309, 8310, 8304, 15214, 15231, 15419, 15409 -12597 , 8305, 8167, 8163, 8162, 15218, 15234, 15246, 15217 -12598 , 8306, 8311, 8167, 8305, 15219, 15236, 15234, 15218 -12599 , 8307, 8171, 8311, 8306, 15220, 15237, 15236, 15219 -12600 , 8312, 8172, 8171, 8307, 15221, 15238, 15237, 15220 -12601 , 8308, 8313, 8312, 8307, 15411, 15398, 15221, 15220 -12602 , 8314, 8174, 8172, 8312, 15222, 15239, 15238, 15221 -12603 , 8313, 8315, 8314, 8312, 15398, 15401, 15222, 15221 -12604 , 8315, 8316, 8174, 8314, 15401, 15420, 15239, 15222 -12605 , 15241, 15224, 15223, 15240, 15413, 15403, 15402, 15412 -12606 , 15240, 15223, 15222, 15239, 15412, 15402, 15401, 15420 -12607 , 11718, 15225, 15224, 15241, 15414, 15404, 15403, 15413 -12608 , 11704, 15226, 15225, 11718, 15415, 15405, 15404, 15414 -12609 , 11706, 15227, 15226, 11704, 15416, 15406, 15405, 15415 -12610 , 11719, 15228, 15227, 11706, 15417, 15407, 15406, 15416 -12611 , 15242, 15229, 15228, 11719, 15418, 15408, 15407, 15417 -12612 , 15243, 15230, 15229, 15242, 15421, 15410, 15408, 15418 -12613 , 8309, 8189, 8188, 8317, 15231, 15245, 15243, 15230 -12614 , 8318, 8310, 8309, 8317, 15410, 15419, 15231, 15230 -12615 , 8317, 8188, 8319, 8318, 15230, 15243, 15421, 15410 -12616 , 8160, 8165, 8189, 8309, 15244, 15249, 15245, 15231 -12617 , 8311, 8190, 8168, 8167, 15236, 15247, 15250, 15234 -12618 , 8171, 8173, 8190, 8311, 15237, 15251, 15247, 15236 -12619 , 8316, 8320, 8175, 8174, 15420, 15412, 15240, 15239 -12620 , 8320, 8321, 8176, 8175, 15412, 15413, 15241, 15240 -12621 , 8321, 8322, 8179, 8176, 15413, 15414, 11718, 15241 -12622 , 8322, 8325, 8323, 8179, 15414, 15415, 11704, 11718 -12623 , 8325, 8328, 8326, 8323, 15415, 15416, 11706, 11704 -12624 , 8328, 8329, 8185, 8326, 15416, 15417, 11719, 11706 -12625 , 8329, 8330, 8186, 8185, 15417, 15418, 15242, 11719 -12626 , 8330, 8319, 8188, 8186, 15418, 15421, 15243, 15242 -12627 , 8207, 8333, 8209, 8208, 15257, 15265, 15263, 15256 -12628 , 8210, 8213, 8333, 8207, 15258, 15266, 15265, 15257 -12629 , 10964, 14994, 12878, 10770, 10934, 10936, 10694, 10691 -12630 , 8219, 8334, 8221, 8220, 15260, 15271, 15269, 15259 -12631 , 8222, 8335, 8334, 8219, 15262, 15270, 15271, 15260 -12632 , 8209, 8336, 8335, 8222, 15263, 15273, 15270, 15262 -12633 , 8333, 8337, 8336, 8209, 15265, 15264, 15273, 15263 -12634 , 8213, 8338, 8337, 8333, 15266, 15276, 15264, 15265 -12635 , 8223, 8339, 8338, 8213, 15267, 15278, 15276, 15266 -12636 , 8224, 8227, 8339, 8223, 15268, 15281, 15278, 15267 -12637 , 8334, 8340, 8233, 8221, 15271, 15272, 15284, 15269 -12638 , 8335, 8341, 8340, 8334, 15270, 15274, 15272, 15271 -12639 , 8336, 8342, 8341, 8335, 15273, 15275, 15274, 15270 -12640 , 8337, 8343, 8342, 8336, 15264, 15277, 15275, 15273 -12641 , 8338, 8344, 8343, 8337, 15276, 15279, 15277, 15264 -12642 , 8339, 8345, 8344, 8338, 15278, 15280, 15279, 15276 -12643 , 8227, 8346, 8345, 8339, 15281, 15290, 15280, 15278 -12644 , 8234, 8237, 8346, 8227, 15283, 15293, 15290, 15281 -12645 , 8340, 8347, 8243, 8233, 15272, 15285, 15297, 15284 -12646 , 8341, 8348, 8347, 8340, 15274, 15286, 15285, 15272 -12647 , 14994, 14995, 12881, 12878, 10936, 10938, 10773, 10694 -12648 , 8342, 8349, 8348, 8341, 15275, 15287, 15286, 15274 -12649 , 8343, 8350, 8349, 8342, 15277, 15288, 15287, 15275 -12650 , 8344, 8351, 8350, 8343, 15279, 15289, 15288, 15277 -12651 , 8344, 8345, 8352, 8353, 15279, 15280, 15423, 15422 -12652 , 8353, 8354, 8351, 8344, 15422, 15428, 15289, 15279 -12653 , 8345, 8346, 8355, 8352, 15280, 15290, 15424, 15423 -12654 , 8346, 8237, 8356, 8355, 15290, 15293, 15425, 15424 -12655 , 8244, 8357, 8358, 8237, 15294, 15306, 15304, 15293 -12656 , 8237, 8358, 8359, 8356, 15293, 15304, 15433, 15425 -12657 , 8245, 8247, 8357, 8244, 15295, 15309, 15306, 15294 -12658 , 8347, 8360, 8253, 8243, 15285, 15298, 15314, 15297 -12659 , 8348, 8361, 8360, 8347, 15286, 15299, 15298, 15285 -12660 , 8349, 8362, 8361, 8348, 15287, 15300, 15299, 15286 -12661 , 8349, 8350, 8363, 8364, 15287, 15288, 15427, 15426 -12662 , 8364, 8365, 8362, 8349, 15426, 15435, 15300, 15287 -12663 , 8350, 8351, 8354, 8363, 15288, 15289, 15428, 15427 -12664 , 15305, 15292, 15291, 15303, 15432, 15429, 15430, 15431 -12665 , 15292, 15290, 15280, 15291, 15429, 15424, 15423, 15430 -12666 , 15303, 15291, 15289, 15302, 15431, 15430, 15428, 15436 -12667 , 15291, 15280, 15279, 15289, 15430, 15423, 15422, 15428 -12668 , 15307, 15304, 15292, 15305, 15441, 15433, 15429, 15432 -12669 , 15304, 15293, 15290, 15292, 15433, 15425, 15424, 15429 -12670 , 8358, 8357, 8366, 8359, 15304, 15306, 15434, 15433 -12671 , 8247, 8367, 8368, 8357, 15309, 15323, 15308, 15306 -12672 , 8357, 8368, 8369, 8366, 15306, 15308, 15444, 15434 -12673 , 8254, 8256, 8367, 8247, 15310, 15326, 15323, 15309 -12674 , 14995, 15001, 12884, 12881, 10938, 10962, 10963, 10773 -12675 , 8261, 8370, 8263, 8262, 15313, 15330, 15328, 15312 -12676 , 8253, 8371, 8370, 8261, 15314, 15329, 15330, 15313 -12677 , 8360, 8372, 8371, 8253, 15298, 15315, 15329, 15314 -12678 , 8361, 8373, 8372, 8360, 15299, 15316, 15315, 15298 -12679 , 8362, 8374, 8373, 8361, 15300, 15317, 15316, 15299 -12680 , 8365, 8375, 8374, 8362, 15435, 15445, 15317, 15300 -12681 , 15302, 15289, 15288, 15301, 15436, 15428, 15427, 15437 -12682 , 15319, 15302, 15301, 15318, 15439, 15436, 15437, 15438 -12683 , 15301, 15288, 15287, 15300, 15437, 15427, 15426, 15435 -12684 , 15318, 15301, 15300, 15317, 15438, 15437, 15435, 15445 -12685 , 15320, 15303, 15302, 15319, 15440, 15431, 15436, 15439 -12686 , 15321, 15305, 15303, 15320, 15442, 15432, 15431, 15440 -12687 , 15322, 15307, 15305, 15321, 15443, 15441, 15432, 15442 -12688 , 15324, 15308, 15307, 15322, 15448, 15444, 15441, 15443 -12689 , 15308, 15306, 15304, 15307, 15444, 15434, 15433, 15441 -12690 , 8367, 8376, 8377, 8368, 15323, 15325, 15324, 15308 -12691 , 8368, 8377, 8378, 8369, 15308, 15324, 15448, 15444 -12692 , 8256, 8379, 8376, 8367, 15326, 15342, 15325, 15323 -12693 , 8264, 8266, 8379, 8256, 15327, 15345, 15342, 15326 -12694 , 8370, 8276, 8269, 8263, 15330, 15331, 15346, 15328 -12695 , 8371, 8380, 8276, 8370, 15329, 15332, 15331, 15330 -12696 , 8372, 8381, 8380, 8371, 15315, 15333, 15332, 15329 -12697 , 8373, 8382, 8381, 8372, 15316, 15334, 15333, 15315 -12698 , 15001, 15026, 12887, 12884, 10962, 15452, 12953, 10963 -12699 , 8374, 8383, 8382, 8373, 15317, 15335, 15334, 15316 -12700 , 8384, 8385, 8383, 8374, 15318, 15336, 15335, 15317 -12701 , 8375, 8386, 8384, 8374, 15445, 15438, 15318, 15317 -12702 , 8387, 8388, 8385, 8384, 15319, 15337, 15336, 15318 -12703 , 8386, 8389, 8387, 8384, 15438, 15439, 15319, 15318 -12704 , 8389, 8390, 8388, 8387, 15439, 15450, 15337, 15319 -12705 , 15339, 15321, 15320, 15338, 15447, 15442, 15440, 15446 -12706 , 15338, 15320, 15319, 15337, 15446, 15440, 15439, 15450 -12707 , 15340, 15322, 15321, 15339, 15449, 15443, 15442, 15447 -12708 , 15341, 15324, 15322, 15340, 15454, 15448, 15443, 15449 -12709 , 8376, 8391, 8392, 8377, 15325, 15343, 15341, 15324 -12710 , 8377, 8392, 8393, 8378, 15324, 15341, 15454, 15448 -12711 , 8379, 8394, 8391, 8376, 15342, 15344, 15343, 15325 -12712 , 8266, 8271, 8394, 8379, 15345, 15358, 15344, 15342 -12713 , 8380, 8395, 8277, 8276, 15332, 15347, 15360, 15331 -12714 , 8381, 8396, 8395, 8380, 15333, 15348, 15347, 15332 -12715 , 8382, 8397, 8396, 8381, 15334, 15349, 15348, 15333 -12716 , 8383, 8398, 8397, 8382, 15335, 15350, 15349, 15334 -12717 , 8385, 8399, 8398, 8383, 15336, 15351, 15350, 15335 -12718 , 8388, 8400, 8399, 8385, 15337, 15352, 15351, 15336 -12719 , 8390, 8401, 8400, 8388, 15450, 15457, 15352, 15337 -12720 , 15354, 15339, 15338, 15353, 15453, 15447, 15446, 15451 -12721 , 15353, 15338, 15337, 15352, 15451, 15446, 15450, 15457 -12722 , 15026, 15049, 12890, 12887, 15452, 15462, 12956, 12953 -12723 , 15355, 15340, 15339, 15354, 15460, 15449, 15447, 15453 -12724 , 8392, 8402, 8403, 8404, 15341, 15356, 15355, 15340 -12725 , 8405, 8393, 8392, 8404, 15449, 15454, 15341, 15340 -12726 , 8404, 8403, 8406, 8405, 15340, 15355, 15460, 15449 -12727 , 8391, 8407, 8402, 8392, 15343, 15357, 15356, 15341 -12728 , 8394, 8287, 8407, 8391, 15344, 15359, 15357, 15343 -12729 , 8271, 8279, 8287, 8394, 15358, 15372, 15359, 15344 -12730 , 8395, 8294, 8283, 8277, 15347, 15361, 15373, 15360 -12731 , 8396, 8408, 8294, 8395, 15348, 15362, 15361, 15347 -12732 , 8397, 8409, 8408, 8396, 15349, 15363, 15362, 15348 -12733 , 8398, 8410, 8409, 8397, 15350, 15364, 15363, 15349 -12734 , 8398, 8399, 8411, 8412, 15350, 15351, 15456, 15455 -12735 , 8412, 8413, 8410, 8398, 15455, 15463, 15364, 15350 -12736 , 8399, 8400, 8401, 8411, 15351, 15352, 15457, 15456 -12737 , 15368, 15354, 15353, 15367, 15459, 15453, 15451, 15458 -12738 , 15367, 15353, 15352, 15366, 15458, 15451, 15457, 15464 -12739 , 15369, 15355, 15354, 15368, 15469, 15460, 15453, 15459 -12740 , 8403, 8402, 8414, 8406, 15355, 15356, 15461, 15460 -12741 , 8407, 8415, 8416, 8402, 15357, 15371, 15370, 15356 -12742 , 8402, 8416, 8417, 8414, 15356, 15370, 15471, 15461 -12743 , 8287, 8288, 8415, 8407, 15359, 15384, 15371, 15357 -12744 , 15049, 15067, 12893, 12890, 15462, 15477, 12959, 12956 -12745 , 8408, 8418, 8295, 8294, 15362, 15374, 15385, 15361 -12746 , 8409, 8419, 8418, 8408, 15363, 15375, 15374, 15362 -12747 , 8410, 8420, 8419, 8409, 15364, 15376, 15375, 15363 -12748 , 8413, 8421, 8420, 8410, 15463, 15473, 15376, 15364 -12749 , 15378, 15366, 15365, 15377, 15467, 15464, 15465, 15466 -12750 , 15366, 15352, 15351, 15365, 15464, 15457, 15456, 15465 -12751 , 15377, 15365, 15364, 15376, 15466, 15465, 15463, 15473 -12752 , 15365, 15351, 15350, 15364, 15465, 15456, 15455, 15463 -12753 , 15379, 15367, 15366, 15378, 15468, 15458, 15464, 15467 -12754 , 15380, 15368, 15367, 15379, 15470, 15459, 15458, 15468 -12755 , 15381, 15369, 15368, 15380, 15472, 15469, 15459, 15470 -12756 , 15370, 15356, 15355, 15369, 15471, 15461, 15460, 15469 -12757 , 15382, 15370, 15369, 15381, 15478, 15471, 15469, 15472 -12758 , 8415, 8422, 8423, 8416, 15371, 15383, 15382, 15370 -12759 , 8416, 8423, 8424, 8417, 15370, 15382, 15478, 15471 -12760 , 8288, 8297, 8422, 8415, 15384, 15396, 15383, 15371 -12761 , 8418, 8425, 8302, 8295, 15374, 15386, 15397, 15385 -12762 , 8419, 8426, 8425, 8418, 15375, 15387, 15386, 15374 -12763 , 8420, 8427, 8426, 8419, 15376, 15388, 15387, 15375 -12764 , 8421, 8428, 8427, 8420, 15473, 15479, 15388, 15376 -12765 , 15390, 15378, 15377, 15389, 15475, 15467, 15466, 15474 -12766 , 15389, 15377, 15376, 15388, 15474, 15466, 15473, 15479 -12767 , 15391, 15379, 15378, 15390, 15476, 15468, 15467, 15475 -12768 , 15392, 15380, 15379, 15391, 15480, 15470, 15468, 15476 -12769 , 15067, 15084, 12896, 12893, 15477, 15481, 12962, 12959 -12770 , 8429, 8430, 8431, 8432, 15381, 15393, 15392, 15380 -12771 , 8433, 8434, 8429, 8432, 15470, 15472, 15381, 15380 -12772 , 8432, 8431, 8435, 8433, 15380, 15392, 15480, 15470 -12773 , 8423, 8436, 8430, 8429, 15382, 15394, 15393, 15381 -12774 , 8434, 8424, 8423, 8429, 15472, 15478, 15382, 15381 -12775 , 8422, 8437, 8436, 8423, 15383, 15395, 15394, 15382 -12776 , 8297, 8304, 8437, 8422, 15396, 15409, 15395, 15383 -12777 , 8425, 8313, 8308, 8302, 15386, 15398, 15411, 15397 -12778 , 8426, 8315, 8313, 8425, 15387, 15401, 15398, 15386 -12779 , 8427, 8438, 8315, 8426, 15388, 15402, 15401, 15387 -12780 , 8439, 8440, 8438, 8427, 15389, 15403, 15402, 15388 -12781 , 8428, 8441, 8439, 8427, 15479, 15474, 15389, 15388 -12782 , 8442, 8443, 8440, 8439, 15390, 15404, 15403, 15389 -12783 , 8441, 8444, 8442, 8439, 15474, 15475, 15390, 15389 -12784 , 8445, 8446, 8443, 8442, 15391, 15405, 15404, 15390 -12785 , 8444, 8447, 8445, 8442, 15475, 15476, 15391, 15390 -12786 , 8431, 8448, 8446, 8445, 15392, 15406, 15405, 15391 -12787 , 8447, 8435, 8431, 8445, 15476, 15480, 15392, 15391 -12788 , 8430, 8449, 8448, 8431, 15393, 15407, 15406, 15392 -12789 , 8436, 8450, 8449, 8430, 15394, 15408, 15407, 15393 -12790 , 8437, 8318, 8450, 8436, 15395, 15410, 15408, 15394 -12791 , 8304, 8310, 8318, 8437, 15409, 15419, 15410, 15395 -12792 , 8438, 8320, 8316, 8315, 15402, 15412, 15420, 15401 -12793 , 8440, 8321, 8320, 8438, 15403, 15413, 15412, 15402 -12794 , 15084, 15105, 12903, 12896, 15481, 15484, 12965, 12962 -12795 , 8443, 8322, 8321, 8440, 15404, 15414, 15413, 15403 -12796 , 12334, 15399, 15482, 12273, 12343, 15483, 12261, 12262 -12797 , 12334, 15399, 15483, 12343, 12346, 13225, 13251, 12352 -12798 , 8446, 8325, 8322, 8443, 15405, 15415, 15414, 15404 -12799 , 8448, 8328, 8325, 8446, 15406, 15416, 15415, 15405 -12800 , 8449, 8329, 8328, 8448, 15407, 15417, 15416, 15406 -12801 , 8450, 8330, 8329, 8449, 15408, 15418, 15417, 15407 -12802 , 8318, 8319, 8330, 8450, 15410, 15421, 15418, 15408 -12803 , 12267, 15254, 7607, 7038, 12270, 15400, 8473, 7049 -12804 , 8352, 8451, 8354, 8353, 15423, 15430, 15428, 15422 -12805 , 8355, 8452, 8451, 8352, 15424, 15429, 15430, 15423 -12806 , 8356, 8359, 8452, 8355, 15425, 15433, 15429, 15424 -12807 , 15105, 15125, 12906, 12903, 15484, 15485, 12968, 12965 -12808 , 8363, 8453, 8365, 8364, 15427, 15437, 15435, 15426 -12809 , 8354, 8454, 8453, 8363, 15428, 15436, 15437, 15427 -12810 , 8451, 8455, 8454, 8354, 15430, 15431, 15436, 15428 -12811 , 8452, 8456, 8455, 8451, 15429, 15432, 15431, 15430 -12812 , 8359, 8457, 8456, 8452, 15433, 15441, 15432, 15429 -12813 , 8366, 8369, 8457, 8359, 15434, 15444, 15441, 15433 -12814 , 8453, 8386, 8375, 8365, 15437, 15438, 15445, 15435 -12815 , 8454, 8389, 8386, 8453, 15436, 15439, 15438, 15437 -12816 , 8455, 8458, 8389, 8454, 15431, 15440, 15439, 15436 -12817 , 8456, 8459, 8458, 8455, 15432, 15442, 15440, 15431 -12818 , 8457, 8460, 8459, 8456, 15441, 15443, 15442, 15432 -12819 , 8369, 8378, 8460, 8457, 15444, 15448, 15443, 15441 -12820 , 8458, 8461, 8390, 8389, 15440, 15446, 15450, 15439 -12821 , 8459, 8462, 8461, 8458, 15442, 15447, 15446, 15440 -12822 , 8460, 8405, 8462, 8459, 15443, 15449, 15447, 15442 -12823 , 15125, 15142, 12909, 12906, 15485, 15486, 12971, 12968 -12824 , 8378, 8393, 8405, 8460, 15448, 15454, 15449, 15443 -12825 , 8461, 8463, 8401, 8390, 15446, 15451, 15457, 15450 -12826 , 8462, 8464, 8463, 8461, 15447, 15453, 15451, 15446 -12827 , 8405, 8406, 8464, 8462, 15449, 15460, 15453, 15447 -12828 , 8411, 8465, 8413, 8412, 15456, 15465, 15463, 15455 -12829 , 8401, 8466, 8465, 8411, 15457, 15464, 15465, 15456 -12830 , 8463, 8467, 8466, 8401, 15451, 15458, 15464, 15457 -12831 , 8464, 8468, 8467, 8463, 15453, 15459, 15458, 15451 -12832 , 8406, 8469, 8468, 8464, 15460, 15469, 15459, 15453 -12833 , 8414, 8417, 8469, 8406, 15461, 15471, 15469, 15460 -12834 , 8465, 8470, 8421, 8413, 15465, 15466, 15473, 15463 -12835 , 8466, 8471, 8470, 8465, 15464, 15467, 15466, 15465 -12836 , 8467, 8472, 8471, 8466, 15458, 15468, 15467, 15464 -12837 , 8468, 8433, 8472, 8467, 15459, 15470, 15468, 15458 -12838 , 8469, 8434, 8433, 8468, 15469, 15472, 15470, 15459 -12839 , 8417, 8424, 8434, 8469, 15471, 15478, 15472, 15469 -12840 , 15142, 15159, 12912, 12909, 15486, 15487, 12974, 12971 -12841 , 8470, 8441, 8428, 8421, 15466, 15474, 15479, 15473 -12842 , 8471, 8444, 8441, 8470, 15467, 15475, 15474, 15466 -12843 , 8472, 8447, 8444, 8471, 15468, 15476, 15475, 15467 -12844 , 8433, 8435, 8447, 8472, 15470, 15480, 15476, 15468 -12845 , 15159, 15178, 12915, 12912, 15487, 15492, 12977, 12974 -12846 , 12273, 15482, 15400, 12270, 7045, 7044, 8473, 7049 -12847 , 12261, 12935, 12278, 12262, 15483, 15488, 12349, 12343 -12848 , 12935, 13285, 12282, 12278, 15488, 15489, 12356, 12349 -12849 , 13285, 13437, 12285, 12282, 15489, 15490, 12362, 12356 -12850 , 13437, 13613, 12288, 12285, 15490, 15491, 12276, 12362 -12851 , 13613, 13683, 12291, 12288, 15491, 12246, 12247, 12276 -12852 , 13683, 13897, 12298, 12291, 12246, 12295, 12253, 12247 -12853 , 13897, 14007, 12301, 12298, 12295, 12383, 12327, 12253 -12854 , 15178, 15198, 12917, 12915, 15492, 15495, 12980, 12977 -12855 , 14007, 14173, 12305, 12301, 12383, 12454, 12379, 12327 -12856 , 14173, 14322, 12307, 12305, 12454, 12525, 12386, 12379 -12857 , 12386, 12307, 12305, 12379, 12306, 12302, 12299, 12303 -12858 , 14477, 14639, 12315, 12311, 12950, 12990, 12414, 12401 -12859 , 12414, 12315, 12311, 12401, 12313, 12308, 12309, 12310 -12860 , 14639, 14776, 12318, 12315, 12990, 13020, 12409, 12414 -12861 , 14776, 14962, 12320, 12318, 13020, 13081, 12410, 12409 -12862 , 12599, 12525, 12386, 12390, 8486, 7739, 7083, 7102 -12863 , 15493, 12599, 12390, 12392, 7158, 8486, 7102, 7106 -12864 , 15198, 15494, 12982, 12917, 15495, 15498, 13044, 12980 -12865 , 12900, 15496, 12397, 12399, 8494, 7181, 7113, 7114 -12866 , 12950, 12900, 12399, 12401, 7842, 8494, 7114, 7090 -12867 , 12982, 15494, 15199, 12920, 12985, 15497, 15235, 12923 -12868 , 15494, 15497, 12985, 12982, 15498, 15501, 13050, 13044 -12869 , 12985, 12923, 12920, 12982, 12922, 12921, 12840, 12918 -12870 , 14287, 14296, 12756, 12754, 14726, 14748, 12849, 12845 -12871 , 12985, 15497, 8164, 7187, 13050, 15501, 8474, 7198 -12872 , 12926, 15248, 15252, 12850, 12991, 15499, 15500, 12998 -12873 , 12998, 12850, 12926, 12991, 12927, 12847, 12843, 12924 -12874 , 13054, 12991, 15499, 15502, 7202, 7192, 8170, 8475 -12875 , 15499, 12991, 13054, 15502, 15500, 12998, 13058, 15505 -12876 , 13050, 15501, 15503, 13116, 13044, 15498, 15507, 13049 -12877 , 15503, 15501, 13050, 13116, 8476, 8474, 7198, 7205 -12878 , 13119, 13054, 15502, 15504, 7208, 7202, 8475, 8477 -12879 , 15502, 13054, 13119, 15504, 15505, 13058, 13060, 15509 -12880 , 13116, 15503, 15506, 13175, 13049, 15507, 15511, 13111 -12881 , 15506, 15503, 13116, 13175, 8478, 8476, 7205, 7211 -12882 , 15504, 13119, 13176, 15508, 15509, 13060, 13179, 15512 -12883 , 13176, 13119, 15504, 15508, 7216, 7208, 8477, 8479 -12884 , 13179, 13060, 13119, 13176, 13120, 13056, 13052, 13117 -12885 , 13175, 15506, 15510, 13233, 13111, 15511, 15517, 13173 -12886 , 15510, 15506, 13175, 13233, 8487, 8478, 7211, 7220 -12887 , 13179, 13176, 15508, 15512, 7221, 7216, 8479, 8488 -12888 , 15512, 13179, 13235, 15513, 15514, 13124, 13182, 15518 -12889 , 13235, 13179, 15512, 15513, 7224, 7221, 8488, 8489 -12890 , 13179, 15512, 15509, 13060, 13124, 15514, 15558, 13063 -12891 , 10252, 10929, 10928, 10925, 7229, 7230, 8490, 8484 -12892 , 10929, 10928, 15515, 13246, 10952, 10951, 15526, 13204 -12893 , 15515, 10928, 10929, 13246, 8491, 8490, 7230, 7231 -12894 , 10252, 10929, 10135, 10096, 10093, 10771, 10087, 10088 -12895 , 15500, 15255, 12931, 12998, 15505, 15529, 12997, 13058 -12896 , 12343, 15483, 15488, 12349, 12352, 13251, 13277, 12358 -12897 , 13233, 15510, 15516, 13269, 13173, 15517, 15528, 13231 -12898 , 15516, 15510, 13233, 13269, 8495, 8487, 7220, 7241 -12899 , 13182, 13235, 15513, 15518, 7244, 7224, 8489, 8496 -12900 , 15518, 13182, 13185, 15519, 15514, 13124, 13127, 15521 -12901 , 13185, 13182, 15518, 15519, 7247, 7244, 8496, 8497 -12902 , 15519, 13185, 13189, 15520, 15521, 13127, 13130, 15523 -12903 , 13189, 13185, 15519, 15520, 7250, 7247, 8497, 8498 -12904 , 15520, 13189, 13270, 15522, 15524, 13192, 13272, 15530 -12905 , 13270, 13189, 15520, 15522, 7255, 7250, 8498, 8499 -12906 , 13189, 15520, 15523, 13130, 13192, 15524, 15571, 13133 -12907 , 13272, 13192, 13189, 13270, 13237, 13187, 13184, 13236 -12908 , 13246, 15515, 15525, 13274, 13204, 15526, 15534, 13247 -12909 , 15525, 15515, 13246, 13274, 8500, 8491, 7231, 7261 -12910 , 15516, 15527, 13289, 13269, 15528, 15536, 13266, 13231 -12911 , 13289, 15527, 15516, 13269, 7272, 8503, 8495, 7241 -12912 , 15255, 15261, 12934, 12931, 15529, 15539, 13001, 12997 -12913 , 13272, 13270, 15522, 15530, 7273, 7255, 8499, 8504 -12914 , 15530, 13272, 13240, 15531, 15524, 13192, 13195, 15533 -12915 , 13240, 13272, 15530, 15531, 7276, 7273, 8504, 8505 -12916 , 15531, 13240, 13244, 15532, 15533, 13195, 13198, 15535 -12917 , 13244, 13240, 15531, 15532, 7279, 7276, 8505, 8506 -12918 , 15532, 13244, 13247, 15534, 15535, 13198, 13204, 15526 -12919 , 13247, 13244, 15532, 15534, 7282, 7279, 8506, 8507 -12920 , 13274, 13247, 15534, 15525, 7261, 7282, 8507, 8500 -12921 , 13266, 15536, 15527, 13289, 8511, 8512, 8503, 7272 -12922 , 15536, 15537, 13290, 13266, 15538, 15541, 13288, 13264 -12923 , 13290, 15537, 15536, 13266, 7305, 8513, 8512, 8511 -12924 , 15528, 15536, 13266, 13231, 15586, 15538, 13264, 13228 -12925 , 13266, 13289, 13305, 13290, 8511, 7272, 7295, 7305 -12926 , 15261, 15282, 12938, 12934, 15539, 15546, 13004, 13001 -12927 , 15537, 15540, 13312, 13290, 15541, 15543, 13303, 13288 -12928 , 13312, 15540, 15537, 13290, 7308, 8516, 8513, 7305 -12929 , 15540, 15542, 13318, 13312, 15543, 15544, 13313, 13303 -12930 , 13318, 15542, 15540, 13312, 7316, 8518, 8516, 7308 -12931 , 13313, 15544, 15542, 13318, 7324, 8520, 8518, 7316 -12932 , 15544, 15545, 13321, 13313, 11777, 11720, 11722, 11394 -12933 , 13321, 15545, 15544, 13313, 7327, 8521, 8520, 7324 -12934 , 15543, 15544, 13313, 13303, 11772, 11777, 11394, 11773 -12935 , 15282, 15296, 12941, 12938, 15546, 15547, 13007, 13004 -12936 , 11722, 11720, 15545, 13321, 7336, 8523, 8521, 7327 -12937 , 15296, 15311, 12944, 12941, 15547, 15548, 13010, 13007 -12938 , 15311, 10930, 10912, 12944, 15548, 10940, 10941, 13010 -12939 , 12349, 15488, 15489, 12356, 12358, 13277, 13296, 12364 -12940 , 10962, 15452, 12953, 10963, 10945, 10960, 10948, 10891 -12941 , 15452, 15462, 12956, 12953, 10960, 15549, 13017, 10948 -12942 , 15462, 15477, 12959, 12956, 15549, 15550, 13023, 13017 -12943 , 15477, 15481, 12962, 12959, 15550, 15551, 13026, 13023 -12944 , 12356, 15489, 15490, 12362, 12364, 13296, 13308, 12368 -12945 , 15481, 15484, 12965, 12962, 15551, 15552, 13029, 13026 -12946 , 15484, 15485, 12968, 12965, 15552, 15553, 13032, 13029 -12947 , 15485, 15486, 12971, 12968, 15553, 15554, 13035, 13032 -12948 , 15486, 15487, 12974, 12971, 15554, 15555, 13038, 13035 -12949 , 15487, 15492, 12977, 12974, 15555, 15556, 13041, 13038 -12950 , 15492, 15495, 12980, 12977, 15556, 15557, 13046, 13041 -12951 , 15495, 15498, 13044, 12980, 15557, 15507, 13049, 13046 -12952 , 12362, 15490, 15491, 12276, 12368, 13308, 12248, 12249 -12953 , 15505, 15529, 12997, 13058, 15509, 15558, 13063, 13060 -12954 , 15529, 15539, 13001, 12997, 15558, 15559, 13066, 13063 -12955 , 15539, 15546, 13004, 13001, 15559, 15560, 13069, 13066 -12956 , 15546, 15547, 13007, 13004, 15560, 15561, 13072, 13069 -12957 , 15547, 15548, 13010, 13007, 15561, 15562, 13075, 13072 -12958 , 15548, 10940, 10941, 13010, 15562, 10949, 10950, 13075 -12959 , 14350, 14349, 14679, 14680, 14681, 14671, 14685, 14686 -12960 , 14686, 14681, 14671, 14685, 14991, 14975, 14974, 14990 -12961 , 10960, 15549, 13017, 10948, 10953, 10959, 10956, 10894 -12962 , 15549, 15550, 13023, 13017, 10959, 15563, 13087, 10956 -12963 , 15550, 15551, 13026, 13023, 15563, 15564, 13090, 13087 -12964 , 15551, 15552, 13029, 13026, 15564, 15565, 13093, 13090 -12965 , 15552, 15553, 13032, 13029, 15565, 15566, 13096, 13093 -12966 , 15553, 15554, 13035, 13032, 15566, 15567, 13099, 13096 -12967 , 15554, 15555, 13038, 13035, 15567, 15568, 13102, 13099 -12968 , 15555, 15556, 13041, 13038, 15568, 15569, 13105, 13102 -12969 , 15556, 15557, 13046, 13041, 15569, 15570, 13108, 13105 -12970 , 15557, 15507, 13049, 13046, 15570, 15511, 13111, 13108 -12971 , 15558, 15559, 13066, 13063, 15514, 15521, 13127, 13124 -12972 , 15559, 15560, 13069, 13066, 15521, 15523, 13130, 13127 -12973 , 15560, 15561, 13072, 13069, 15523, 15571, 13133, 13130 -12974 , 15561, 15562, 13075, 13072, 15571, 15572, 13136, 13133 -12975 , 15562, 10949, 10950, 13075, 15572, 15573, 13139, 13136 -12976 , 13139, 15573, 10949, 10950, 10952, 10951, 10942, 10943 -12977 , 10959, 15563, 13087, 10956, 10958, 15574, 13149, 10957 -12978 , 15563, 15564, 13090, 13087, 15574, 15575, 13152, 13149 -12979 , 15564, 15565, 13093, 13090, 15575, 15576, 13155, 13152 -12980 , 15565, 15566, 13096, 13093, 15576, 15577, 13158, 13155 -12981 , 15566, 15567, 13099, 13096, 15577, 15578, 13161, 13158 -12982 , 15567, 15568, 13102, 13099, 15578, 15579, 13164, 13161 -12983 , 15568, 15569, 13105, 13102, 15579, 15580, 13167, 13164 -12984 , 15569, 15570, 13108, 13105, 15580, 15581, 13170, 13167 -12985 , 15570, 15511, 13111, 13108, 15581, 15517, 13173, 13170 -12986 , 15571, 15572, 13136, 13133, 15524, 15533, 13195, 13192 -12987 , 15572, 15573, 13139, 13136, 15533, 15535, 13198, 13195 -12988 , 15573, 10951, 10952, 13139, 15535, 15526, 13204, 13198 -12989 , 10958, 15574, 13149, 10957, 11782, 11740, 11280, 11279 -12990 , 15574, 15575, 13152, 13149, 11740, 11742, 11287, 11280 -12991 , 15575, 15576, 13155, 13152, 11742, 11781, 11744, 11287 -12992 , 15576, 15577, 13158, 13155, 11781, 15582, 13213, 11744 -12993 , 15577, 15578, 13161, 13158, 15582, 15583, 13216, 13213 -12994 , 15578, 15579, 13164, 13161, 15583, 15584, 13219, 13216 -12995 , 15579, 15580, 13167, 13164, 15584, 15585, 13222, 13219 -12996 , 15580, 15581, 13170, 13167, 15585, 15586, 13228, 13222 -12997 , 15581, 15517, 13173, 13170, 15586, 15528, 13231, 13228 -12998 , 11781, 15582, 13213, 11744, 11748, 11751, 11315, 11306 -12999 , 15582, 15583, 13216, 13213, 11751, 11780, 11753, 11315 -13000 , 15583, 15584, 13219, 13216, 11780, 15587, 13258, 11753 -13001 , 15584, 15585, 13222, 13219, 15587, 15588, 13261, 13258 -13002 , 15585, 15586, 13228, 13222, 15588, 15538, 13264, 13261 -13003 , 11780, 15587, 13258, 11753, 11759, 11763, 11762, 11338 -13004 , 15587, 15588, 13261, 13258, 11763, 15589, 13284, 11762 -13005 , 15588, 15538, 13264, 13261, 15589, 15541, 13288, 13284 -13006 , 11763, 15589, 13284, 11762, 11764, 11772, 11773, 11365 -13007 , 15589, 15541, 13288, 13284, 11772, 15543, 13303, 11773 -13008 , 11456, 11523, 10504, 10514, 11028, 11035, 10502, 10501 -13009 , 10685, 10087, 13076, 13011, 10702, 10771, 10943, 10932 -13010 , 12945, 10683, 10685, 13011, 10911, 10772, 10702, 10932 -13011 , 11018, 10599, 10488, 11007, 10621, 10602, 10491, 10497 -13012 , 10599, 10600, 11291, 11018, 11009, 11160, 11141, 11017 -13013 , 11160, 11279, 11282, 10600, 11141, 11283, 11284, 11291 -13014 , 11021, 11018, 11007, 11014, 11318, 10621, 10497, 10501 -13015 , 10954, 10955, 10896, 10895, 11134, 15590, 11160, 11009 -13016 , 10955, 10958, 10957, 10896, 15590, 11782, 11279, 11160 -13017 , 11134, 15590, 11160, 11009, 11138, 11143, 11141, 11017 -13018 , 15590, 11782, 11279, 11160, 11143, 11745, 11283, 11141 -13019 , 7013, 8613, 8614, 7014, 12239, 15591, 15607, 13970 -13020 , 8613, 7013, 7018, 8615, 15591, 12239, 14962, 15663 -13021 , 12240, 15592, 15593, 12241, 12244, 15594, 15599, 12294 -13022 , 15593, 15592, 12240, 12241, 15600, 15595, 12246, 12295 -13023 , 12240, 15592, 15594, 12244, 12248, 15596, 15609, 13306 -13024 , 12246, 15595, 15592, 12240, 15491, 15622, 15596, 12248 -13025 , 15598, 15597, 15592, 15593, 15667, 15601, 15595, 15600 -13026 , 15592, 15597, 15598, 15593, 15594, 15603, 15671, 15599 -13027 , 15595, 15601, 15597, 15592, 15622, 15708, 15602, 15596 -13028 , 15596, 15602, 15597, 15592, 15609, 15786, 15603, 15594 -13029 , 8626, 8627, 8628, 8629, 15605, 15604, 15606, 15611 -13030 , 8614, 8627, 8626, 8630, 15607, 15604, 15605, 15613 -13031 , 8627, 8614, 8631, 8628, 15604, 15607, 15665, 15606 -13032 , 7040, 8632, 8633, 7041, 12261, 15608, 15624, 12935 -13033 , 7040, 8632, 15608, 12261, 7044, 8634, 15619, 15482 -13034 , 8626, 8635, 8636, 8637, 15605, 15612, 15615, 15610 -13035 , 8626, 15605, 15610, 8637, 8630, 15613, 15616, 8638 -13036 , 8635, 8626, 8629, 8639, 15612, 15605, 15611, 15666 -13037 , 8637, 8636, 8640, 8641, 15610, 15615, 15618, 15614 -13038 , 8637, 15610, 15614, 8641, 8638, 15616, 15619, 8634 -13039 , 8634, 8641, 8642, 8632, 15619, 15614, 15617, 15608 -13040 , 8641, 8640, 8643, 8642, 15614, 15618, 15621, 15617 -13041 , 8632, 8642, 8644, 8633, 15608, 15617, 15620, 15624 -13042 , 8642, 8643, 8645, 8644, 15617, 15621, 15625, 15620 -13043 , 8633, 8644, 8646, 8647, 15624, 15620, 15623, 15628 -13044 , 8644, 8645, 8648, 8646, 15620, 15625, 15627, 15623 -13045 , 8647, 8646, 8649, 8650, 15628, 15623, 15626, 15631 -13046 , 8646, 8648, 8651, 8649, 15623, 15627, 15630, 15626 -13047 , 8649, 8651, 8652, 8653, 15626, 15630, 15633, 15629 -13048 , 8650, 8649, 8653, 8654, 15631, 15626, 15629, 15634 -13049 , 8653, 8652, 8655, 8656, 15629, 15633, 15636, 15632 -13050 , 8654, 8653, 8656, 8657, 15634, 15629, 15632, 15637 -13051 , 8656, 8655, 8658, 8659, 15632, 15636, 15640, 15635 -13052 , 8657, 8656, 8659, 8660, 15637, 15632, 15635, 15641 -13053 , 12241, 15593, 15638, 12292, 12294, 15599, 15669, 12382 -13054 , 15638, 15593, 12241, 12292, 15670, 15600, 12295, 12383 -13055 , 8659, 8658, 8661, 8662, 15635, 15640, 15643, 15639 -13056 , 8660, 8659, 8662, 8663, 15641, 15635, 15639, 15644 -13057 , 8662, 8661, 8664, 8665, 15639, 15643, 15647, 15642 -13058 , 8663, 8662, 8665, 8666, 15644, 15639, 15642, 15648 -13059 , 8667, 8665, 8668, 8669, 15645, 15642, 15646, 15649 -13060 , 8666, 8665, 8667, 8670, 15648, 15642, 15645, 15650 -13061 , 8665, 8664, 8671, 8668, 15642, 15647, 15721, 15646 -13062 , 8670, 8667, 8669, 8672, 15650, 15645, 15649, 15726 -13063 , 8673, 8674, 8675, 8676, 15652, 15651, 15653, 15656 -13064 , 8677, 8674, 8673, 8678, 15654, 15651, 15652, 15658 -13065 , 8674, 8677, 8679, 8675, 15651, 15654, 15741, 15653 -13066 , 8673, 8680, 8681, 8682, 15652, 15657, 15660, 15655 -13067 , 8678, 8673, 8682, 8683, 15658, 15652, 15655, 15661 -13068 , 8680, 8673, 8676, 8684, 15657, 15652, 15656, 15742 -13069 , 8682, 8681, 8685, 8686, 15655, 15660, 15662, 15659 -13070 , 8683, 8682, 8686, 8615, 15661, 15655, 15659, 15663 -13071 , 8686, 8685, 8687, 8628, 15659, 15662, 15664, 15606 -13072 , 8615, 8686, 8628, 8631, 15663, 15659, 15606, 15665 -13073 , 8628, 8687, 8639, 8629, 15606, 15664, 15666, 15611 -13074 , 15598, 15667, 15600, 15593, 15668, 15716, 15670, 15638 -13075 , 15593, 15598, 15668, 15638, 15599, 15671, 15761, 15669 -13076 , 15674, 15673, 15672, 15675, 15688, 15681, 15678, 15679 -13077 , 15672, 15673, 15674, 15675, 15676, 15682, 15689, 15677 -13078 , 15675, 15672, 15676, 15677, 15614, 15610, 15616, 15619 -13079 , 15675, 15672, 15610, 15614, 15679, 15678, 15615, 15618 -13080 , 15673, 15680, 15611, 15672, 15681, 15764, 15666, 15678 -13081 , 15611, 15680, 15673, 15672, 15683, 15765, 15682, 15676 -13082 , 15672, 15611, 15683, 15676, 15610, 15605, 15613, 15616 -13083 , 15672, 15611, 15605, 15610, 15678, 15666, 15612, 15615 -13084 , 15684, 15674, 15675, 15685, 15694, 15688, 15679, 15687 -13085 , 15675, 15674, 15684, 15685, 15677, 15689, 15695, 15686 -13086 , 15685, 15675, 15677, 15686, 15617, 15614, 15619, 15608 -13087 , 15685, 15675, 15614, 15617, 15687, 15679, 15618, 15621 -13088 , 15690, 15684, 15685, 15691, 15700, 15694, 15687, 15693 -13089 , 15685, 15684, 15690, 15691, 15686, 15695, 15701, 15692 -13090 , 15691, 15685, 15686, 15692, 15620, 15617, 15608, 15624 -13091 , 15691, 15685, 15617, 15620, 15693, 15687, 15621, 15625 -13092 , 15696, 15690, 15691, 15697, 15706, 15700, 15693, 15698 -13093 , 15691, 15690, 15696, 15697, 15692, 15701, 15707, 15699 -13094 , 15620, 15691, 15697, 15623, 15624, 15692, 15699, 15628 -13095 , 15697, 15691, 15620, 15623, 15698, 15693, 15625, 15627 -13096 , 15702, 15696, 15697, 15703, 15710, 15706, 15698, 15704 -13097 , 15697, 15696, 15702, 15703, 15699, 15707, 15711, 15705 -13098 , 15623, 15697, 15703, 15626, 15628, 15699, 15705, 15631 -13099 , 15703, 15697, 15623, 15626, 15704, 15698, 15627, 15630 -13100 , 15602, 15702, 15703, 15708, 15713, 15710, 15704, 15709 -13101 , 15703, 15702, 15602, 15708, 15705, 15711, 15596, 15622 -13102 , 15626, 15703, 15708, 15629, 15631, 15705, 15622, 15634 -13103 , 15708, 15703, 15626, 15629, 15709, 15704, 15630, 15633 -13104 , 15597, 15602, 15708, 15601, 15715, 15713, 15709, 15712 -13105 , 15629, 15708, 15601, 15632, 15634, 15622, 15595, 15637 -13106 , 15601, 15708, 15629, 15632, 15712, 15709, 15633, 15636 -13107 , 15598, 15597, 15601, 15667, 15718, 15715, 15712, 15714 -13108 , 15714, 15712, 15601, 15667, 15640, 15636, 15632, 15635 -13109 , 15632, 15601, 15667, 15635, 15637, 15595, 15600, 15641 -13110 , 15668, 15598, 15667, 15716, 15720, 15718, 15714, 15717 -13111 , 15717, 15714, 15667, 15716, 15643, 15640, 15635, 15639 -13112 , 15635, 15667, 15716, 15639, 15641, 15600, 15670, 15644 -13113 , 15668, 15716, 15670, 15638, 15719, 15646, 15722, 15723 -13114 , 15719, 15668, 15716, 15646, 15794, 15720, 15717, 15721 -13115 , 15716, 15639, 15644, 15670, 15646, 15642, 15648, 15722 -13116 , 15646, 15716, 15639, 15642, 15721, 15717, 15643, 15647 -13117 , 12292, 15638, 15723, 12380, 12382, 15669, 15762, 12453 -13118 , 15723, 15638, 12292, 12380, 15722, 15670, 12383, 12454 -13119 , 8668, 8671, 8688, 8669, 15646, 15721, 15725, 15649 -13120 , 8669, 8688, 8689, 8690, 15649, 15725, 15729, 15724 -13121 , 8669, 15649, 15724, 8690, 8672, 15726, 15730, 8691 -13122 , 8692, 8690, 8693, 8694, 15727, 15724, 15728, 15731 -13123 , 8692, 8690, 15724, 15727, 8695, 8691, 15730, 15732 -13124 , 8690, 8689, 8696, 8693, 15724, 15729, 15804, 15728 -13125 , 8695, 8692, 8694, 8697, 15732, 15727, 15731, 15806 -13126 , 8698, 8699, 8700, 8701, 15733, 15736, 15738, 15734 -13127 , 8698, 15733, 15734, 8701, 8702, 15737, 15739, 8703 -13128 , 8698, 8702, 8704, 8705, 15733, 15737, 15815, 15735 -13129 , 8699, 8698, 8705, 8706, 15736, 15733, 15735, 15816 -13130 , 8701, 8700, 8707, 8675, 15734, 15738, 15740, 15653 -13131 , 8701, 15734, 15653, 8675, 8703, 15739, 15741, 8679 -13132 , 8675, 8707, 8684, 8676, 15653, 15740, 15742, 15656 -13133 , 15743, 15744, 15745, 15746, 15749, 15752, 15759, 15750 -13134 , 15745, 15744, 15743, 15746, 15760, 15753, 15747, 15748 -13135 , 15748, 15747, 15743, 15746, 15662, 15660, 15655, 15659 -13136 , 15655, 15743, 15746, 15659, 15661, 15749, 15750, 15663 -13137 , 15656, 15751, 15744, 15743, 15754, 15829, 15752, 15749 -13138 , 15744, 15751, 15656, 15743, 15753, 15830, 15742, 15747 -13139 , 15655, 15660, 15747, 15743, 15652, 15657, 15742, 15656 -13140 , 15661, 15655, 15743, 15749, 15658, 15652, 15656, 15754 -13141 , 15746, 15745, 15755, 15756, 15750, 15759, 15766, 15758 -13142 , 15755, 15745, 15746, 15756, 15767, 15760, 15748, 15757 -13143 , 15757, 15748, 15746, 15756, 15664, 15662, 15659, 15606 -13144 , 15659, 15746, 15756, 15606, 15663, 15750, 15758, 15665 -13145 , 15638, 15668, 15719, 15723, 15669, 15761, 15793, 15762 -13146 , 15756, 15755, 15763, 15680, 15758, 15766, 15769, 15765 -13147 , 15763, 15755, 15756, 15680, 15770, 15767, 15757, 15764 -13148 , 15764, 15757, 15756, 15680, 15666, 15664, 15606, 15611 -13149 , 15606, 15756, 15680, 15611, 15665, 15758, 15765, 15683 -13150 , 15680, 15763, 15768, 15673, 15765, 15769, 15772, 15682 -13151 , 15768, 15763, 15680, 15673, 15773, 15770, 15764, 15681 -13152 , 15673, 15768, 15771, 15674, 15682, 15772, 15775, 15689 -13153 , 15771, 15768, 15673, 15674, 15776, 15773, 15681, 15688 -13154 , 15674, 15771, 15774, 15684, 15689, 15775, 15778, 15695 -13155 , 15774, 15771, 15674, 15684, 15779, 15776, 15688, 15694 -13156 , 15684, 15774, 15777, 15690, 15695, 15778, 15781, 15701 -13157 , 15777, 15774, 15684, 15690, 15782, 15779, 15694, 15700 -13158 , 15690, 15777, 15780, 15696, 15701, 15781, 15784, 15707 -13159 , 15780, 15777, 15690, 15696, 15785, 15782, 15700, 15706 -13160 , 15696, 15780, 15783, 15702, 15707, 15784, 15787, 15711 -13161 , 15783, 15780, 15696, 15702, 15788, 15785, 15706, 15710 -13162 , 15702, 15783, 15786, 15602, 15711, 15787, 15609, 15596 -13163 , 15786, 15783, 15702, 15602, 15789, 15788, 15710, 15713 -13164 , 15603, 15786, 15602, 15597, 15790, 15789, 15713, 15715 -13165 , 15671, 15603, 15597, 15598, 15792, 15790, 15715, 15718 -13166 , 12380, 15723, 15791, 12451, 12453, 15762, 15801, 12524 -13167 , 15791, 15723, 12380, 12451, 15726, 15722, 12454, 12525 -13168 , 15761, 15671, 15598, 15668, 15795, 15792, 15718, 15720 -13169 , 15793, 15761, 15668, 15719, 15799, 15795, 15720, 15794 -13170 , 15723, 15719, 15796, 15791, 15762, 15793, 15797, 15801 -13171 , 15796, 15719, 15723, 15791, 15649, 15646, 15722, 15726 -13172 , 15797, 15793, 15719, 15796, 15802, 15799, 15794, 15798 -13173 , 15798, 15794, 15719, 15796, 15725, 15721, 15646, 15649 -13174 , 15796, 15797, 15800, 15728, 15791, 15801, 15882, 15803 -13175 , 15800, 15797, 15796, 15728, 15883, 15802, 15798, 15804 -13176 , 15728, 15796, 15791, 15803, 15724, 15649, 15726, 15730 -13177 , 15728, 15796, 15649, 15724, 15804, 15798, 15725, 15729 -13178 , 8693, 8696, 8708, 8694, 15728, 15804, 15807, 15731 -13179 , 8697, 8694, 8709, 8710, 15806, 15731, 15805, 15809 -13180 , 8694, 8708, 8711, 8709, 15731, 15807, 15810, 15805 -13181 , 8710, 8709, 8712, 8713, 15809, 15805, 15808, 15895 -13182 , 8709, 8711, 8714, 8712, 15805, 15810, 15896, 15808 -13183 , 8715, 8716, 8705, 8704, 15813, 15811, 15735, 15815 -13184 , 8716, 8717, 8706, 8705, 15811, 15814, 15816, 15735 -13185 , 8716, 8715, 8718, 8719, 15811, 15813, 15906, 15812 -13186 , 8717, 8716, 8719, 8720, 15814, 15811, 15812, 15905 -13187 , 15817, 15818, 15819, 15820, 15821, 15826, 15831, 15822 -13188 , 15819, 15818, 15817, 15820, 15832, 15827, 15823, 15824 -13189 , 15820, 15817, 15821, 15822, 15653, 15734, 15739, 15741 -13190 , 15824, 15823, 15817, 15820, 15740, 15738, 15734, 15653 -13191 , 15818, 15825, 15735, 15817, 15827, 15909, 15816, 15823 -13192 , 15735, 15825, 15818, 15817, 15815, 15910, 15826, 15821 -13193 , 15739, 15734, 15817, 15821, 15737, 15733, 15735, 15815 -13194 , 15817, 15735, 15733, 15734, 15823, 15816, 15736, 15738 -13195 , 15820, 15819, 15828, 15751, 15822, 15831, 15834, 15829 -13196 , 15828, 15819, 15820, 15751, 15835, 15832, 15824, 15830 -13197 , 15751, 15820, 15822, 15829, 15656, 15653, 15741, 15754 -13198 , 15830, 15824, 15820, 15751, 15742, 15740, 15653, 15656 -13199 , 15751, 15828, 15833, 15744, 15829, 15834, 15837, 15752 -13200 , 15833, 15828, 15751, 15744, 15838, 15835, 15830, 15753 -13201 , 15744, 15833, 15836, 15745, 15752, 15837, 15840, 15759 -13202 , 15836, 15833, 15744, 15745, 15841, 15838, 15753, 15760 -13203 , 15745, 15836, 15839, 15755, 15759, 15840, 15843, 15766 -13204 , 15839, 15836, 15745, 15755, 15844, 15841, 15760, 15767 -13205 , 15755, 15839, 15842, 15763, 15766, 15843, 15846, 15769 -13206 , 15842, 15839, 15755, 15763, 15847, 15844, 15767, 15770 -13207 , 15763, 15842, 15845, 15768, 15769, 15846, 15849, 15772 -13208 , 15845, 15842, 15763, 15768, 15850, 15847, 15770, 15773 -13209 , 15768, 15845, 15848, 15771, 15772, 15849, 15852, 15775 -13210 , 15848, 15845, 15768, 15771, 15853, 15850, 15773, 15776 -13211 , 15771, 15848, 15851, 15774, 15775, 15852, 15855, 15778 -13212 , 15851, 15848, 15771, 15774, 15856, 15853, 15776, 15779 -13213 , 15774, 15851, 15854, 15777, 15778, 15855, 15858, 15781 -13214 , 15854, 15851, 15774, 15777, 15859, 15856, 15779, 15782 -13215 , 15777, 15854, 15857, 15780, 15781, 15858, 15861, 15784 -13216 , 15857, 15854, 15777, 15780, 15862, 15859, 15782, 15785 -13217 , 12451, 15791, 15803, 12523, 12524, 15801, 15882, 12596 -13218 , 15803, 15791, 12451, 12523, 15730, 15726, 12525, 12599 -13219 , 15780, 15857, 15860, 15783, 15784, 15861, 15864, 15787 -13220 , 15860, 15857, 15780, 15783, 15865, 15862, 15785, 15788 -13221 , 15783, 15860, 15863, 15786, 15787, 15864, 15867, 15609 -13222 , 15863, 15860, 15783, 15786, 15868, 15865, 15788, 15789 -13223 , 15786, 15863, 15866, 15603, 15609, 15867, 15870, 15594 -13224 , 15866, 15863, 15786, 15603, 15871, 15868, 15789, 15790 -13225 , 15603, 15866, 15869, 15671, 15594, 15870, 15873, 15599 -13226 , 15869, 15866, 15603, 15671, 15874, 15871, 15790, 15792 -13227 , 15671, 15869, 15872, 15761, 15599, 15873, 15876, 15669 -13228 , 15872, 15869, 15671, 15761, 15877, 15874, 15792, 15795 -13229 , 15761, 15872, 15875, 15793, 15669, 15876, 15879, 15762 -13230 , 15875, 15872, 15761, 15793, 15880, 15877, 15795, 15799 -13231 , 15793, 15875, 15878, 15797, 15762, 15879, 15884, 15801 -13232 , 15878, 15875, 15793, 15797, 15885, 15880, 15799, 15802 -13233 , 15797, 15878, 15881, 15800, 15801, 15884, 15890, 15882 -13234 , 15881, 15878, 15797, 15800, 15891, 15885, 15802, 15883 -13235 , 15800, 15881, 15886, 15887, 15882, 15890, 15893, 15888 -13236 , 15886, 15881, 15800, 15887, 15894, 15891, 15883, 15889 -13237 , 15887, 15800, 15882, 15888, 15731, 15728, 15803, 15806 -13238 , 15889, 15883, 15800, 15887, 15807, 15804, 15728, 15731 -13239 , 15887, 15886, 15892, 15808, 15888, 15893, 15976, 15895 -13240 , 15892, 15886, 15887, 15808, 15975, 15894, 15889, 15896 -13241 , 15887, 15731, 15806, 15888, 15808, 15805, 15809, 15895 -13242 , 15808, 15887, 15731, 15805, 15896, 15889, 15807, 15810 -13243 , 8712, 8714, 8721, 8722, 15808, 15896, 15899, 15897 -13244 , 8713, 8712, 8722, 8723, 15895, 15808, 15897, 15900 -13245 , 8722, 8721, 8724, 8725, 15897, 15899, 15983, 15898 -13246 , 8723, 8722, 8725, 8726, 15900, 15897, 15898, 15982 -13247 , 8727, 8728, 8720, 8719, 15901, 15903, 15905, 15812 -13248 , 8729, 8727, 8719, 8718, 15904, 15901, 15812, 15906 -13249 , 8728, 8727, 8730, 8731, 15903, 15901, 15902, 15992 -13250 , 8727, 8729, 8732, 8730, 15901, 15904, 15993, 15902 -13251 , 15908, 15907, 15825, 15818, 15915, 15912, 15909, 15827 -13252 , 15825, 15907, 15908, 15818, 15910, 15913, 15916, 15826 -13253 , 15907, 15911, 15812, 15825, 15912, 15996, 15905, 15909 -13254 , 15812, 15911, 15907, 15825, 15906, 15997, 15913, 15910 -13255 , 15735, 15816, 15909, 15825, 15811, 15814, 15905, 15812 -13256 , 15815, 15735, 15825, 15910, 15813, 15811, 15812, 15906 -13257 , 15914, 15908, 15818, 15819, 15918, 15915, 15827, 15832 -13258 , 15818, 15908, 15914, 15819, 15826, 15916, 15919, 15831 -13259 , 15917, 15914, 15819, 15828, 15921, 15918, 15832, 15835 -13260 , 15819, 15914, 15917, 15828, 15831, 15919, 15922, 15834 -13261 , 15920, 15917, 15828, 15833, 15924, 15921, 15835, 15838 -13262 , 15828, 15917, 15920, 15833, 15834, 15922, 15925, 15837 -13263 , 15923, 15920, 15833, 15836, 15927, 15924, 15838, 15841 -13264 , 15833, 15920, 15923, 15836, 15837, 15925, 15928, 15840 -13265 , 15926, 15923, 15836, 15839, 15930, 15927, 15841, 15844 -13266 , 15836, 15923, 15926, 15839, 15840, 15928, 15931, 15843 -13267 , 15929, 15926, 15839, 15842, 15933, 15930, 15844, 15847 -13268 , 15839, 15926, 15929, 15842, 15843, 15931, 15934, 15846 -13269 , 15882, 15803, 12523, 12596, 15888, 15806, 12600, 13394 -13270 , 15803, 15730, 12599, 12523, 15806, 15732, 15493, 12600 -13271 , 15932, 15929, 15842, 15845, 15936, 15933, 15847, 15850 -13272 , 15842, 15929, 15932, 15845, 15846, 15934, 15937, 15849 -13273 , 15935, 15932, 15845, 15848, 15939, 15936, 15850, 15853 -13274 , 15845, 15932, 15935, 15848, 15849, 15937, 15940, 15852 -13275 , 15938, 15935, 15848, 15851, 15942, 15939, 15853, 15856 -13276 , 15848, 15935, 15938, 15851, 15852, 15940, 15943, 15855 -13277 , 15941, 15938, 15851, 15854, 15945, 15942, 15856, 15859 -13278 , 15851, 15938, 15941, 15854, 15855, 15943, 15946, 15858 -13279 , 15944, 15941, 15854, 15857, 15948, 15945, 15859, 15862 -13280 , 15854, 15941, 15944, 15857, 15858, 15946, 15949, 15861 -13281 , 15947, 15944, 15857, 15860, 15951, 15948, 15862, 15865 -13282 , 15857, 15944, 15947, 15860, 15861, 15949, 15952, 15864 -13283 , 15950, 15947, 15860, 15863, 15954, 15951, 15865, 15868 -13284 , 15860, 15947, 15950, 15863, 15864, 15952, 15955, 15867 -13285 , 15953, 15950, 15863, 15866, 15957, 15954, 15868, 15871 -13286 , 15863, 15950, 15953, 15866, 15867, 15955, 15958, 15870 -13287 , 15956, 15953, 15866, 15869, 15960, 15957, 15871, 15874 -13288 , 15866, 15953, 15956, 15869, 15870, 15958, 15961, 15873 -13289 , 15959, 15956, 15869, 15872, 15963, 15960, 15874, 15877 -13290 , 15869, 15956, 15959, 15872, 15873, 15961, 15964, 15876 -13291 , 15962, 15959, 15872, 15875, 15966, 15963, 15877, 15880 -13292 , 15872, 15959, 15962, 15875, 15876, 15964, 15967, 15879 -13293 , 15965, 15962, 15875, 15878, 15969, 15966, 15880, 15885 -13294 , 15875, 15962, 15965, 15878, 15879, 15967, 15970, 15884 -13295 , 15968, 15965, 15878, 15881, 15972, 15969, 15885, 15891 -13296 , 15878, 15965, 15968, 15881, 15884, 15970, 15973, 15890 -13297 , 15806, 15803, 15730, 15732, 15731, 15728, 15724, 15727 -13298 , 15971, 15968, 15881, 15886, 15977, 15972, 15891, 15894 -13299 , 15881, 15968, 15971, 15886, 15890, 15973, 15978, 15893 -13300 , 15974, 15971, 15886, 15892, 15980, 15977, 15894, 15975 -13301 , 15886, 15971, 15974, 15892, 15893, 15978, 15981, 15976 -13302 , 15979, 15974, 15892, 15898, 16068, 15980, 15975, 15983 -13303 , 15892, 15974, 15979, 15898, 15976, 15981, 16069, 15982 -13304 , 15892, 15808, 15895, 15976, 15898, 15897, 15900, 15982 -13305 , 15898, 15892, 15808, 15897, 15983, 15975, 15896, 15899 -13306 , 8725, 8724, 8733, 8734, 15898, 15983, 15986, 15984 -13307 , 8726, 8725, 8734, 8735, 15982, 15898, 15984, 15987 -13308 , 8734, 8733, 8736, 8737, 15984, 15986, 16075, 15985 -13309 , 8735, 8734, 8737, 8738, 15987, 15984, 15985, 16076 -13310 , 8739, 8740, 8731, 8730, 15988, 15990, 15992, 15902 -13311 , 8741, 8739, 8730, 8732, 15991, 15988, 15902, 15993 -13312 , 8740, 8739, 8742, 8743, 15990, 15988, 15989, 16085 -13313 , 8739, 8741, 8744, 8742, 15988, 15991, 16086, 15989 -13314 , 7156, 8697, 8710, 7157, 12600, 15806, 15809, 12727 -13315 , 7156, 8697, 15806, 12600, 7158, 8695, 15732, 15493 -13316 , 15995, 15994, 15911, 15907, 16002, 15999, 15996, 15912 -13317 , 15911, 15994, 15995, 15907, 15997, 16000, 16003, 15913 -13318 , 15994, 15998, 15902, 15911, 15999, 16089, 15992, 15996 -13319 , 15902, 15998, 15994, 15911, 15993, 16090, 16000, 15997 -13320 , 15812, 15905, 15996, 15911, 15901, 15903, 15992, 15902 -13321 , 15906, 15812, 15911, 15997, 15904, 15901, 15902, 15993 -13322 , 16001, 15995, 15907, 15908, 16005, 16002, 15912, 15915 -13323 , 15907, 15995, 16001, 15908, 15913, 16003, 16006, 15916 -13324 , 16004, 16001, 15908, 15914, 16008, 16005, 15915, 15918 -13325 , 15908, 16001, 16004, 15914, 15916, 16006, 16009, 15919 -13326 , 16007, 16004, 15914, 15917, 16011, 16008, 15918, 15921 -13327 , 15914, 16004, 16007, 15917, 15919, 16009, 16012, 15922 -13328 , 16010, 16007, 15917, 15920, 16014, 16011, 15921, 15924 -13329 , 15917, 16007, 16010, 15920, 15922, 16012, 16015, 15925 -13330 , 16013, 16010, 15920, 15923, 16017, 16014, 15924, 15927 -13331 , 15920, 16010, 16013, 15923, 15925, 16015, 16018, 15928 -13332 , 16016, 16013, 15923, 15926, 16020, 16017, 15927, 15930 -13333 , 15923, 16013, 16016, 15926, 15928, 16018, 16021, 15931 -13334 , 16019, 16016, 15926, 15929, 16023, 16020, 15930, 15933 -13335 , 15926, 16016, 16019, 15929, 15931, 16021, 16024, 15934 -13336 , 16022, 16019, 15929, 15932, 16026, 16023, 15933, 15936 -13337 , 15929, 16019, 16022, 15932, 15934, 16024, 16027, 15937 -13338 , 16025, 16022, 15932, 15935, 16029, 16026, 15936, 15939 -13339 , 15932, 16022, 16025, 15935, 15937, 16027, 16030, 15940 -13340 , 16028, 16025, 15935, 15938, 16032, 16029, 15939, 15942 -13341 , 15935, 16025, 16028, 15938, 15940, 16030, 16033, 15943 -13342 , 16031, 16028, 15938, 15941, 16035, 16032, 15942, 15945 -13343 , 15938, 16028, 16031, 15941, 15943, 16033, 16036, 15946 -13344 , 16034, 16031, 15941, 15944, 16038, 16035, 15945, 15948 -13345 , 15941, 16031, 16034, 15944, 15946, 16036, 16039, 15949 -13346 , 16037, 16034, 15944, 15947, 16041, 16038, 15948, 15951 -13347 , 15944, 16034, 16037, 15947, 15949, 16039, 16042, 15952 -13348 , 16040, 16037, 15947, 15950, 16044, 16041, 15951, 15954 -13349 , 15947, 16037, 16040, 15950, 15952, 16042, 16045, 15955 -13350 , 16043, 16040, 15950, 15953, 16047, 16044, 15954, 15957 -13351 , 15950, 16040, 16043, 15953, 15955, 16045, 16048, 15958 -13352 , 16046, 16043, 15953, 15956, 16050, 16047, 15957, 15960 -13353 , 15953, 16043, 16046, 15956, 15958, 16048, 16051, 15961 -13354 , 16049, 16046, 15956, 15959, 16053, 16050, 15960, 15963 -13355 , 15956, 16046, 16049, 15959, 15961, 16051, 16054, 15964 -13356 , 16052, 16049, 15959, 15962, 16056, 16053, 15963, 15966 -13357 , 15959, 16049, 16052, 15962, 15964, 16054, 16057, 15967 -13358 , 16055, 16052, 15962, 15965, 16059, 16056, 15966, 15969 -13359 , 15962, 16052, 16055, 15965, 15967, 16057, 16060, 15970 -13360 , 7157, 8710, 8713, 7159, 12727, 15809, 15895, 13420 -13361 , 16058, 16055, 15965, 15968, 16062, 16059, 15969, 15972 -13362 , 15965, 16055, 16058, 15968, 15970, 16060, 16063, 15973 -13363 , 16061, 16058, 15968, 15971, 16065, 16062, 15972, 15977 -13364 , 15968, 16058, 16061, 15971, 15973, 16063, 16066, 15978 -13365 , 16064, 16061, 15971, 15974, 16070, 16065, 15977, 15980 -13366 , 15971, 16061, 16064, 15974, 15978, 16066, 16071, 15981 -13367 , 16067, 16064, 15974, 15979, 16073, 16070, 15980, 16068 -13368 , 15974, 16064, 16067, 15979, 15981, 16071, 16074, 16069 -13369 , 16072, 16067, 15979, 15985, 16163, 16073, 16068, 16075 -13370 , 15979, 16067, 16072, 15985, 16069, 16074, 16164, 16076 -13371 , 16068, 15983, 15898, 15979, 16075, 15986, 15984, 15985 -13372 , 15979, 15898, 15982, 16069, 15985, 15984, 15987, 16076 -13373 , 8737, 8736, 8745, 8746, 15985, 16075, 16079, 16077 -13374 , 8738, 8737, 8746, 8747, 16076, 15985, 16077, 16080 -13375 , 8746, 8745, 8748, 8749, 16077, 16079, 16171, 16078 -13376 , 8747, 8746, 8749, 8750, 16080, 16077, 16078, 16170 -13377 , 8751, 8752, 8743, 8742, 16081, 16083, 16085, 15989 -13378 , 8753, 8751, 8742, 8744, 16084, 16081, 15989, 16086 -13379 , 8752, 8751, 8754, 8755, 16083, 16081, 16082, 16173 -13380 , 8751, 8753, 8756, 8754, 16081, 16084, 16174, 16082 -13381 , 16088, 16087, 15998, 15994, 16095, 16092, 16089, 15999 -13382 , 15998, 16087, 16088, 15994, 16090, 16093, 16096, 16000 -13383 , 15989, 16091, 16087, 15998, 16086, 16178, 16093, 16090 -13384 , 16087, 16091, 15989, 15998, 16092, 16177, 16085, 16089 -13385 , 15902, 15992, 16089, 15998, 15988, 15990, 16085, 15989 -13386 , 15993, 15902, 15998, 16090, 15991, 15988, 15989, 16086 -13387 , 16094, 16088, 15994, 15995, 16098, 16095, 15999, 16002 -13388 , 15994, 16088, 16094, 15995, 16000, 16096, 16099, 16003 -13389 , 16097, 16094, 15995, 16001, 16101, 16098, 16002, 16005 -13390 , 15995, 16094, 16097, 16001, 16003, 16099, 16102, 16006 -13391 , 16100, 16097, 16001, 16004, 16104, 16101, 16005, 16008 -13392 , 16001, 16097, 16100, 16004, 16006, 16102, 16105, 16009 -13393 , 16103, 16100, 16004, 16007, 16107, 16104, 16008, 16011 -13394 , 16004, 16100, 16103, 16007, 16009, 16105, 16108, 16012 -13395 , 16106, 16103, 16007, 16010, 16110, 16107, 16011, 16014 -13396 , 16007, 16103, 16106, 16010, 16012, 16108, 10974, 16015 -13397 , 16109, 16106, 16010, 16013, 16112, 16110, 16014, 16017 -13398 , 16010, 16106, 16109, 16013, 16015, 10974, 10977, 16018 -13399 , 16111, 16109, 16013, 16016, 16114, 16112, 16017, 16020 -13400 , 16013, 16109, 16111, 16016, 16018, 10977, 10978, 16021 -13401 , 16113, 16111, 16016, 16019, 16116, 16114, 16020, 16023 -13402 , 16016, 16111, 16113, 16019, 16021, 10978, 10979, 16024 -13403 , 16115, 16113, 16019, 16022, 16118, 16116, 16023, 16026 -13404 , 16019, 16113, 16115, 16022, 16024, 10979, 16119, 16027 -13405 , 16117, 16115, 16022, 16025, 16121, 16118, 16026, 16029 -13406 , 16022, 16115, 16117, 16025, 16027, 16119, 16122, 16030 -13407 , 7172, 8715, 8704, 7173, 12790, 15813, 15815, 12855 -13408 , 8715, 7172, 7174, 8718, 15813, 12790, 13507, 15906 -13409 , 16120, 16117, 16025, 16028, 16124, 16121, 16029, 16032 -13410 , 16025, 16117, 16120, 16028, 16030, 16122, 16125, 16033 -13411 , 16123, 16120, 16028, 16031, 16127, 16124, 16032, 16035 -13412 , 16028, 16120, 16123, 16031, 16033, 16125, 16128, 16036 -13413 , 16126, 16123, 16031, 16034, 16130, 16127, 16035, 16038 -13414 , 16031, 16123, 16126, 16034, 16036, 16128, 16131, 16039 -13415 , 16129, 16126, 16034, 16037, 16133, 16130, 16038, 16041 -13416 , 16034, 16126, 16129, 16037, 16039, 16131, 16134, 16042 -13417 , 16132, 16129, 16037, 16040, 16136, 16133, 16041, 16044 -13418 , 16037, 16129, 16132, 16040, 16042, 16134, 16137, 16045 -13419 , 16135, 16132, 16040, 16043, 16139, 16136, 16044, 16047 -13420 , 16040, 16132, 16135, 16043, 16045, 16137, 16140, 16048 -13421 , 16138, 16135, 16043, 16046, 16142, 16139, 16047, 16050 -13422 , 16043, 16135, 16138, 16046, 16048, 16140, 16143, 16051 -13423 , 16141, 16138, 16046, 16049, 16145, 16142, 16050, 16053 -13424 , 16046, 16138, 16141, 16049, 16051, 16143, 16146, 16054 -13425 , 16144, 16141, 16049, 16052, 16148, 16145, 16053, 16056 -13426 , 16049, 16141, 16144, 16052, 16054, 16146, 16149, 16057 -13427 , 16147, 16144, 16052, 16055, 16151, 16148, 16056, 16059 -13428 , 16052, 16144, 16147, 16055, 16057, 16149, 16152, 16060 -13429 , 16150, 16147, 16055, 16058, 16154, 16151, 16059, 16062 -13430 , 16055, 16147, 16150, 16058, 16060, 16152, 16155, 16063 -13431 , 16153, 16150, 16058, 16061, 16157, 16154, 16062, 16065 -13432 , 16058, 16150, 16153, 16061, 16063, 16155, 16158, 16066 -13433 , 16156, 16153, 16061, 16064, 16160, 16157, 16065, 16070 -13434 , 16061, 16153, 16156, 16064, 16066, 16158, 16161, 16071 -13435 , 16159, 16156, 16064, 16067, 16165, 16160, 16070, 16073 -13436 , 16064, 16156, 16159, 16067, 16071, 16161, 16166, 16074 -13437 , 16162, 16159, 16067, 16072, 16167, 16165, 16073, 16163 -13438 , 16067, 16159, 16162, 16072, 16074, 16166, 16168, 16164 -13439 , 16167, 16163, 16072, 16162, 16243, 16171, 16078, 16169 -13440 , 16162, 16072, 16164, 16168, 16169, 16078, 16170, 16244 -13441 , 16072, 15985, 16076, 16164, 16078, 16077, 16080, 16170 -13442 , 16078, 16072, 15985, 16077, 16171, 16163, 16075, 16079 -13443 , 8749, 8748, 8757, 8758, 16078, 16171, 16243, 16169 -13444 , 8750, 8749, 8758, 8759, 16170, 16078, 16169, 16244 -13445 , 8755, 8754, 8760, 8761, 16173, 16082, 16172, 16249 -13446 , 8754, 8756, 8762, 8760, 16082, 16174, 16250, 16172 -13447 , 16091, 16175, 16176, 16087, 16178, 16179, 16183, 16093 -13448 , 16176, 16175, 16091, 16087, 16182, 16180, 16177, 16092 -13449 , 16086, 15989, 16091, 16178, 16084, 16081, 16082, 16174 -13450 , 16174, 16082, 16091, 16178, 16250, 16172, 16175, 16179 -13451 , 16091, 16082, 16081, 15989, 16177, 16173, 16083, 16085 -13452 , 16175, 16172, 16082, 16091, 16180, 16249, 16173, 16177 -13453 , 16181, 16176, 16087, 16088, 16185, 16182, 16092, 16095 -13454 , 16087, 16176, 16181, 16088, 16093, 16183, 16186, 16096 -13455 , 8704, 7173, 12855, 15815, 8702, 7181, 15496, 15737 -13456 , 16184, 16181, 16088, 16094, 16188, 16185, 16095, 16098 -13457 , 16088, 16181, 16184, 16094, 16096, 16186, 16189, 16099 -13458 , 16187, 16184, 16094, 16097, 16191, 16188, 16098, 16101 -13459 , 16094, 16184, 16187, 16097, 16099, 16189, 16192, 16102 -13460 , 16190, 16187, 16097, 16100, 16194, 16191, 16101, 16104 -13461 , 16097, 16187, 16190, 16100, 16102, 16192, 16195, 16105 -13462 , 16193, 16190, 16100, 16103, 16197, 16194, 16104, 16107 -13463 , 16100, 16190, 16193, 16103, 16105, 16195, 10980, 16108 -13464 , 16196, 16193, 16103, 16106, 16199, 16197, 16107, 16110 -13465 , 16103, 16193, 16196, 16106, 16108, 10980, 10975, 10974 -13466 , 16198, 16196, 16106, 16109, 16200, 16199, 16110, 16112 -13467 , 16106, 16196, 16198, 16109, 10974, 10975, 10976, 10977 -13468 , 10778, 16198, 16109, 16111, 16201, 16200, 16112, 16114 -13469 , 16109, 16198, 10778, 16111, 10977, 10976, 10782, 10978 -13470 , 10781, 10778, 16111, 16113, 10785, 16201, 16114, 16116 -13471 , 16111, 10778, 10781, 16113, 10978, 10782, 10783, 10979 -13472 , 10784, 10781, 16113, 16115, 10788, 10785, 16116, 16118 -13473 , 16113, 10781, 10784, 16115, 10979, 10783, 10789, 16119 -13474 , 10787, 10784, 16115, 16117, 10791, 10788, 16118, 16121 -13475 , 16115, 10784, 10787, 16117, 16119, 10789, 10792, 16122 -13476 , 10790, 10787, 16117, 16120, 10794, 10791, 16121, 16124 -13477 , 16117, 10787, 10790, 16120, 16122, 10792, 10795, 16125 -13478 , 10793, 10790, 16120, 16123, 16203, 10794, 16124, 16127 -13479 , 16120, 10790, 10793, 16123, 16125, 10795, 10883, 16128 -13480 , 16202, 10793, 16123, 16126, 16205, 16203, 16127, 16130 -13481 , 16123, 10793, 16202, 16126, 16128, 10883, 16206, 16131 -13482 , 16204, 16202, 16126, 16129, 16208, 16205, 16130, 16133 -13483 , 16126, 16202, 16204, 16129, 16131, 16206, 16209, 16134 -13484 , 16207, 16204, 16129, 16132, 16211, 16208, 16133, 16136 -13485 , 16129, 16204, 16207, 16132, 16134, 16209, 16212, 16137 -13486 , 16210, 16207, 16132, 16135, 16214, 16211, 16136, 16139 -13487 , 16132, 16207, 16210, 16135, 16137, 16212, 16215, 16140 -13488 , 16213, 16210, 16135, 16138, 16217, 16214, 16139, 16142 -13489 , 16135, 16210, 16213, 16138, 16140, 16215, 16218, 16143 -13490 , 16216, 16213, 16138, 16141, 16220, 16217, 16142, 16145 -13491 , 16138, 16213, 16216, 16141, 16143, 16218, 16221, 16146 -13492 , 16219, 16216, 16141, 16144, 16223, 16220, 16145, 16148 -13493 , 16141, 16216, 16219, 16144, 16146, 16221, 16224, 16149 -13494 , 16222, 16219, 16144, 16147, 16226, 16223, 16148, 16151 -13495 , 16144, 16219, 16222, 16147, 16149, 16224, 16227, 16152 -13496 , 12897, 15821, 15822, 12898, 12899, 15826, 15831, 12949 -13497 , 15822, 15821, 12897, 12898, 15741, 15739, 12900, 12950 -13498 , 12897, 15821, 15826, 12899, 12855, 15815, 15910, 13525 -13499 , 12900, 15739, 15821, 12897, 15496, 15737, 15815, 12855 -13500 , 16225, 16222, 16147, 16150, 16229, 16226, 16151, 16154 -13501 , 16147, 16222, 16225, 16150, 16152, 16227, 16230, 16155 -13502 , 16228, 16225, 16150, 16153, 16232, 16229, 16154, 16157 -13503 , 16150, 16225, 16228, 16153, 16155, 16230, 16233, 16158 -13504 , 16231, 16228, 16153, 16156, 16235, 16232, 16157, 16160 -13505 , 16153, 16228, 16231, 16156, 16158, 16233, 16236, 16161 -13506 , 16234, 16231, 16156, 16159, 16238, 16235, 16160, 16165 -13507 , 16156, 16231, 16234, 16159, 16161, 16236, 16239, 16166 -13508 , 16237, 16234, 16159, 16162, 16240, 16238, 16165, 16167 -13509 , 16159, 16234, 16237, 16162, 16166, 16239, 16241, 16168 -13510 , 16240, 16167, 16162, 16237, 16301, 16243, 16169, 16242 -13511 , 16237, 16162, 16168, 16241, 16242, 16169, 16244, 16302 -13512 , 8763, 8758, 8764, 8765, 16245, 16169, 16242, 16246 -13513 , 8759, 8758, 8763, 8766, 16244, 16169, 16245, 16247 -13514 , 8758, 8757, 8767, 8764, 16169, 16243, 16301, 16242 -13515 , 8766, 8763, 8765, 8768, 16247, 16245, 16246, 16305 -13516 , 8769, 8760, 8770, 8771, 16175, 16172, 16248, 16251 -13517 , 8761, 8760, 8769, 8772, 16249, 16172, 16175, 16180 -13518 , 8760, 8762, 8773, 8770, 16172, 16250, 16308, 16248 -13519 , 8772, 8769, 8771, 8774, 16180, 16175, 16251, 16309 -13520 , 16253, 16252, 16176, 16181, 16257, 16254, 16182, 16185 -13521 , 16176, 16252, 16253, 16181, 16183, 16255, 16258, 16186 -13522 , 16176, 16182, 16254, 16252, 16175, 16180, 16309, 16251 -13523 , 16183, 16176, 16252, 16255, 16179, 16175, 16251, 16315 -13524 , 16256, 16253, 16181, 16184, 16260, 16257, 16185, 16188 -13525 , 16181, 16253, 16256, 16184, 16186, 16258, 16261, 16189 -13526 , 7041, 8633, 8647, 7194, 12935, 15624, 15628, 13285 -13527 , 16259, 16256, 16184, 16187, 16263, 16260, 16188, 16191 -13528 , 16184, 16256, 16259, 16187, 16189, 16261, 16264, 16192 -13529 , 16262, 16259, 16187, 16190, 16266, 16263, 16191, 16194 -13530 , 16187, 16259, 16262, 16190, 16192, 16264, 16267, 16195 -13531 , 16265, 16262, 16190, 16193, 16269, 16266, 16194, 16197 -13532 , 16190, 16262, 16265, 16193, 16195, 16267, 10981, 10980 -13533 , 16268, 16265, 16193, 16196, 16270, 16269, 16197, 16199 -13534 , 16193, 16265, 16268, 16196, 10980, 10981, 10982, 10975 -13535 , 10796, 16268, 16196, 16198, 10799, 16270, 16199, 16200 -13536 , 16196, 16268, 10796, 16198, 10975, 10982, 10885, 10976 -13537 , 10779, 10796, 16198, 10778, 10801, 10799, 16200, 16201 -13538 , 16198, 10796, 10779, 10778, 10976, 10885, 10802, 10782 -13539 , 12898, 15822, 15829, 12948, 12949, 15831, 15834, 12989 -13540 , 15829, 15822, 12898, 12948, 15754, 15741, 12950, 12990 -13541 , 10589, 10530, 10793, 16202, 10590, 10531, 16203, 16205 -13542 , 10793, 10530, 10589, 16202, 10883, 10804, 10807, 16206 -13543 , 10806, 10589, 16202, 16204, 10809, 10590, 16205, 16208 -13544 , 16202, 10589, 10806, 16204, 16206, 10807, 10886, 16209 -13545 , 10811, 10806, 16204, 16207, 10812, 10809, 16208, 16211 -13546 , 16204, 10806, 10811, 16207, 16209, 10886, 10993, 16212 -13547 , 16271, 10811, 16207, 16210, 10825, 10812, 16211, 16214 -13548 , 16207, 10811, 16271, 16210, 16212, 10993, 16273, 16215 -13549 , 16272, 16271, 16210, 16213, 16275, 10825, 16214, 16217 -13550 , 16210, 16271, 16272, 16213, 16215, 16273, 16276, 16218 -13551 , 16274, 16272, 16213, 16216, 16278, 16275, 16217, 16220 -13552 , 16213, 16272, 16274, 16216, 16218, 16276, 16279, 16221 -13553 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16300, 16358, 16302 -13569 , 8764, 8767, 8775, 8765, 16242, 16301, 16304, 16246 -13570 , 8765, 8775, 8776, 8777, 16246, 16304, 16365, 16303 -13571 , 8768, 8765, 8777, 8778, 16305, 16246, 16303, 16364 -13572 , 8770, 8779, 8774, 8771, 16248, 16307, 16309, 16251 -13573 , 8779, 8770, 8780, 8781, 16307, 16248, 16306, 16367 -13574 , 8770, 8773, 8782, 8780, 16248, 16308, 16368, 16306 -13575 , 12948, 15829, 15752, 12988, 12989, 15834, 15837, 13019 -13576 , 15752, 15829, 12948, 12988, 15749, 15754, 12990, 13020 -13577 , 16311, 16310, 16252, 16253, 16317, 16313, 16254, 16257 -13578 , 16252, 16310, 16311, 16253, 16255, 16314, 16318, 16258 -13579 , 16310, 16312, 16251, 16252, 16313, 16371, 16309, 16254 -13580 , 16251, 16312, 16310, 16252, 16315, 16372, 16314, 16255 -13581 , 16316, 16311, 16253, 16256, 16320, 16317, 16257, 16260 -13582 , 16253, 16311, 16316, 16256, 16258, 16318, 16321, 16261 -13583 , 16319, 16316, 16256, 16259, 16323, 16320, 16260, 16263 -13584 , 16256, 16316, 16319, 16259, 16261, 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16299, 16357 -13616 , 16295, 16353, 16356, 16298, 16300, 16360, 16363, 16358 -13617 , 16361, 16357, 16298, 16356, 16423, 16365, 16303, 16362 -13618 , 16298, 16356, 16362, 16303, 16358, 16363, 16424, 16364 -13619 , 16298, 16242, 16302, 16358, 16303, 16246, 16305, 16364 -13620 , 16303, 16298, 16242, 16246, 16365, 16357, 16301, 16304 -13621 , 8777, 8776, 8783, 8784, 16303, 16365, 16423, 16362 -13622 , 8777, 16303, 16362, 8784, 8778, 16364, 16424, 8785 -13623 , 8781, 8780, 8786, 8787, 16367, 16306, 16366, 16426 -13624 , 16366, 16306, 8780, 8786, 16427, 16368, 8782, 8788 -13625 , 16370, 16369, 16312, 16310, 16376, 16373, 16371, 16313 -13626 , 16312, 16369, 16370, 16310, 16372, 16374, 16377, 16314 -13627 , 16251, 16309, 16371, 16312, 16248, 16307, 16367, 16306 -13628 , 16306, 16367, 16371, 16312, 16366, 16426, 16373, 16369 -13629 , 16312, 16306, 16368, 16372, 16251, 16248, 16308, 16315 -13630 , 16368, 16306, 16312, 16372, 16427, 16366, 16369, 16374 -13631 , 16375, 16370, 16310, 16311, 16379, 16376, 16313, 16317 -13632 , 16310, 16370, 16375, 16311, 16314, 16377, 16380, 16318 -13633 , 16378, 16375, 16311, 16316, 16382, 16379, 16317, 16320 -13634 , 16311, 16375, 16378, 16316, 16318, 16380, 16383, 16321 -13635 , 16381, 16378, 16316, 16319, 16385, 16382, 16320, 16323 -13636 , 16316, 16378, 16381, 16319, 16321, 16383, 16386, 16324 -13637 , 16384, 16381, 16319, 16322, 16388, 16385, 16323, 16326 -13638 , 16319, 16381, 16384, 16322, 16324, 16386, 16389, 16327 -13639 , 16387, 16384, 16322, 16325, 16391, 16388, 16326, 16329 -13640 , 16322, 16384, 16387, 16325, 16327, 16389, 10988, 10985 -13641 , 16390, 16387, 16325, 16328, 16392, 16391, 16329, 16330 -13642 , 16325, 16387, 16390, 16328, 10985, 10988, 10986, 10984 -13643 , 16392, 16330, 16328, 16390, 10263, 10800, 10797, 10262 -13644 , 13018, 15759, 15766, 13079, 13080, 15840, 15843, 13114 -13645 , 15766, 15759, 13018, 13079, 15758, 15750, 13081, 13115 -13646 , 16393, 10632, 10992, 16331, 16395, 10654, 10824, 16333 -13647 , 10992, 10632, 16393, 16331, 10987, 10971, 10991, 16334 -13648 , 10992, 10824, 10654, 10632, 10814, 10813, 10633, 10630 -13649 , 16394, 16393, 16331, 16332, 16397, 16395, 16333, 16336 -13650 , 16331, 16393, 16394, 16332, 16334, 10991, 16398, 16337 -13651 , 16396, 16394, 16332, 16335, 16400, 16397, 16336, 16339 -13652 , 16332, 16394, 16396, 16335, 16337, 16398, 16401, 16340 -13653 , 16399, 16396, 16335, 16338, 16403, 16400, 16339, 16342 -13654 , 16335, 16396, 16399, 16338, 16340, 16401, 16404, 16343 -13655 , 16402, 16399, 16338, 16341, 16406, 16403, 16342, 16345 -13656 , 16338, 16399, 16402, 16341, 16343, 16404, 16407, 16346 -13657 , 16405, 16402, 16341, 16344, 16409, 16406, 16345, 16348 -13658 , 16341, 16402, 16405, 16344, 16346, 16407, 16410, 16349 -13659 , 16408, 16405, 16344, 16347, 16412, 16409, 16348, 16351 -13660 , 16344, 16405, 16408, 16347, 16349, 16410, 16413, 16352 -13661 , 16411, 16408, 16347, 16350, 16415, 16412, 16351, 16354 -13662 , 16347, 16408, 16411, 16350, 16352, 16413, 16416, 16355 -13663 , 16414, 16411, 16350, 16353, 16418, 16415, 16354, 16359 -13664 , 16350, 16411, 16414, 16353, 16355, 16416, 16419, 16360 -13665 , 16417, 16414, 16353, 16356, 16420, 16418, 16359, 16361 -13666 , 16353, 16414, 16417, 16356, 16360, 16419, 16422, 16363 -13667 , 16420, 16361, 16356, 16417, 16479, 16423, 16362, 16421 -13668 , 16356, 16417, 16421, 16362, 16363, 16422, 16480, 16424 -13669 , 13079, 15766, 15769, 13113, 13114, 15843, 15846, 13142 -13670 , 15769, 15766, 13079, 13113, 15765, 15758, 13115, 13143 -13671 , 8784, 8783, 8789, 8790, 16362, 16423, 16479, 16421 -13672 , 8784, 16362, 16421, 8790, 8785, 16424, 16480, 8791 -13673 , 8792, 8786, 8793, 8794, 16369, 16366, 16425, 16428 -13674 , 8787, 8786, 8792, 8795, 16426, 16366, 16369, 16373 -13675 , 16425, 16366, 8786, 8793, 16481, 16427, 8788, 8796 -13676 , 8795, 8792, 8794, 8797, 16373, 16369, 16428, 16483 -13677 , 16430, 16429, 16370, 16375, 16434, 16431, 16376, 16379 -13678 , 16370, 16429, 16430, 16375, 16377, 16432, 16435, 16380 -13679 , 16370, 16376, 16431, 16429, 16369, 16373, 16483, 16428 -13680 , 16369, 16428, 16429, 16370, 16374, 16484, 16432, 16377 -13681 , 16433, 16430, 16375, 16378, 16437, 16434, 16379, 16382 -13682 , 16375, 16430, 16433, 16378, 16380, 16435, 16438, 16383 -13683 , 16436, 16433, 16378, 16381, 16440, 16437, 16382, 16385 -13684 , 16378, 16433, 16436, 16381, 16383, 16438, 16441, 16386 -13685 , 16439, 16436, 16381, 16384, 16443, 16440, 16385, 16388 -13686 , 16381, 16436, 16439, 16384, 16386, 16441, 16444, 16389 -13687 , 16442, 16439, 16384, 16387, 16446, 16443, 16388, 16391 -13688 , 16384, 16439, 16442, 16387, 16389, 16444, 16447, 10988 -13689 , 16445, 16442, 16387, 16390, 16448, 16446, 16391, 16392 -13690 , 16387, 16442, 16445, 16390, 10988, 16447, 10989, 10986 -13691 , 10310, 16445, 16390, 10262, 10303, 16448, 16392, 10263 -13692 , 16390, 16445, 10310, 10262, 10986, 10989, 10983, 10884 -13693 , 13113, 15769, 15772, 13141, 13142, 15846, 15849, 13200 -13694 , 15772, 15769, 13113, 13141, 15682, 15765, 13143, 13201 -13695 , 16449, 10631, 10632, 16393, 16451, 10637, 10654, 16395 -13696 , 10632, 10631, 16449, 16393, 10971, 10973, 10990, 10991 -13697 , 16450, 16449, 16393, 16394, 16453, 16451, 16395, 16397 -13698 , 16393, 16449, 16450, 16394, 10991, 10990, 16454, 16398 -13699 , 16452, 16450, 16394, 16396, 16456, 16453, 16397, 16400 -13700 , 16394, 16450, 16452, 16396, 16398, 16454, 16457, 16401 -13701 , 16455, 16452, 16396, 16399, 16459, 16456, 16400, 16403 -13702 , 16396, 16452, 16455, 16399, 16401, 16457, 16460, 16404 -13703 , 16458, 16455, 16399, 16402, 16462, 16459, 16403, 16406 -13704 , 16399, 16455, 16458, 16402, 16404, 16460, 16463, 16407 -13705 , 16461, 16458, 16402, 16405, 16465, 16462, 16406, 16409 -13706 , 16402, 16458, 16461, 16405, 16407, 16463, 16466, 16410 -13707 , 16464, 16461, 16405, 16408, 16468, 16465, 16409, 16412 -13708 , 16405, 16461, 16464, 16408, 16410, 16466, 16469, 16413 -13709 , 16467, 16464, 16408, 16411, 16471, 16468, 16412, 16415 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16431 -13726 , 16430, 16434, 16437, 16433, 16486, 16491, 16493, 16489 -13727 , 16430, 16486, 16489, 16433, 16435, 16490, 16494, 16438 -13728 , 8614, 8613, 8615, 8631, 15607, 15591, 15663, 15665 -13729 , 16433, 16437, 16440, 16436, 16489, 16493, 16496, 16492 -13730 , 16433, 16489, 16492, 16436, 16438, 16494, 16497, 16441 -13731 , 16495, 16492, 16436, 16439, 16499, 16496, 16440, 16443 -13732 , 16436, 16492, 16495, 16439, 16441, 16497, 16500, 16444 -13733 , 16498, 16495, 16439, 16442, 16502, 16499, 16443, 16446 -13734 , 16439, 16495, 16498, 16442, 16444, 16500, 16503, 16447 -13735 , 16501, 16498, 16442, 16445, 16504, 16502, 16446, 16448 -13736 , 16442, 16498, 16501, 16445, 16447, 16503, 16506, 10989 -13737 , 13141, 15772, 15775, 13199, 13200, 15849, 15852, 13224 -13738 , 15775, 15772, 13141, 13199, 15689, 15682, 13201, 13225 -13739 , 16504, 16448, 16445, 16501, 10311, 10303, 10310, 16505 -13740 , 16445, 16501, 16505, 10310, 10989, 16506, 16545, 10983 -13741 , 8805, 8806, 8807, 8808, 10310, 10270, 10275, 16505 -13742 , 8805, 8806, 10270, 10310, 8809, 8810, 10427, 10983 -13743 , 8805, 10310, 16505, 8808, 8809, 10983, 16545, 8811 -13744 , 11792, 10636, 10631, 16449, 16507, 10639, 10637, 16451 -13745 , 10631, 10636, 11792, 16449, 10973, 11267, 11791, 10990 -13746 , 11793, 11792, 16449, 16450, 16508, 16507, 16451, 16453 -13747 , 16449, 11792, 11793, 16450, 10990, 11791, 11794, 16454 -13748 , 11800, 11793, 16450, 16452, 16510, 16508, 16453, 16456 -13749 , 16450, 11793, 11800, 16452, 16454, 11794, 11799, 16457 -13750 , 16509, 11800, 16452, 16455, 16512, 16510, 16456, 16459 -13751 , 16452, 11800, 16509, 16455, 16457, 11799, 12234, 16460 -13752 , 16511, 16509, 16455, 16458, 16514, 16512, 16459, 16462 -13753 , 16455, 16509, 16511, 16458, 16460, 12234, 16515, 16463 -13754 , 16513, 16511, 16458, 16461, 16517, 16514, 16462, 16465 -13755 , 16458, 16511, 16513, 16461, 16463, 16515, 16518, 16466 -13756 , 16516, 16513, 16461, 16464, 16520, 16517, 16465, 16468 -13757 , 16461, 16513, 16516, 16464, 16466, 16518, 16521, 16469 -13758 , 16519, 16516, 16464, 16467, 16523, 16520, 16468, 16471 -13759 , 16464, 16516, 16519, 16467, 16469, 16521, 16524, 16472 -13760 , 16522, 16519, 16467, 16470, 16526, 16523, 16471, 16474 -13761 , 16467, 16519, 16522, 16470, 16472, 16524, 16527, 16475 -13762 , 13199, 15775, 15778, 13223, 13224, 15852, 15855, 13250 -13763 , 15778, 15775, 13199, 13223, 15695, 15689, 13225, 13251 -13764 , 16525, 16522, 16470, 16473, 16528, 16526, 16474, 16476 -13765 , 16470, 16522, 16525, 16473, 16475, 16527, 16530, 16478 -13766 , 16528, 16476, 16473, 16525, 16564, 16531, 16477, 16529 -13767 , 16473, 16525, 16529, 16477, 16478, 16530, 16565, 16532 -13768 , 8799, 8798, 8819, 8820, 16477, 16531, 16564, 16529 -13769 , 8799, 16477, 16529, 8820, 8800, 16532, 16565, 8821 -13770 , 8803, 8802, 8822, 8823, 16533, 16482, 16485, 16488 -13771 , 16485, 16482, 8802, 8822, 16487, 16534, 8804, 8824 -13772 , 8823, 8822, 8825, 8826, 16488, 16485, 16486, 16491 -13773 , 16486, 16485, 8822, 8825, 16490, 16487, 8824, 8827 -13774 , 8826, 8825, 8828, 8829, 16491, 16486, 16489, 16493 -13775 , 16489, 16486, 8825, 8828, 16494, 16490, 8827, 8830 -13776 , 8831, 8828, 8832, 8833, 16492, 16489, 16535, 16536 -13777 , 8829, 8828, 8831, 8834, 16493, 16489, 16492, 16496 -13778 , 16535, 16489, 8828, 8832, 16566, 16494, 8830, 8835 -13779 , 8834, 8831, 8833, 8836, 16496, 16492, 16536, 16567 -13780 , 16495, 16499, 16502, 16498, 16537, 16540, 16542, 16538 -13781 , 16495, 16537, 16538, 16498, 16500, 16539, 16543, 16503 -13782 , 16500, 16495, 16537, 16539, 16497, 16492, 16536, 16568 -13783 , 16537, 16536, 16492, 16495, 16540, 16567, 16496, 16499 -13784 , 16498, 16502, 16504, 16501, 16538, 16542, 16544, 16541 -13785 , 16498, 16538, 16541, 16501, 16503, 16543, 16546, 16506 -13786 , 16501, 16504, 10311, 16505, 16541, 16544, 16569, 16547 -13787 , 16506, 16501, 16505, 16545, 16546, 16541, 16547, 16570 -13788 , 8837, 8808, 8807, 8838, 10311, 16505, 10275, 10312 -13789 , 8808, 8837, 8839, 8840, 16505, 10311, 16569, 16547 -13790 , 8808, 16505, 16547, 8840, 8811, 16545, 16570, 8841 -13791 , 13223, 15778, 15781, 13249, 13250, 15855, 15858, 13276 -13792 , 15781, 15778, 13223, 13249, 15701, 15695, 13251, 13277 -13793 , 10636, 10639, 16507, 11792, 11804, 11806, 11807, 11795 -13794 , 11797, 11795, 11792, 11793, 11813, 11807, 16507, 16508 -13795 , 11801, 11797, 11793, 11800, 11819, 11813, 16508, 16510 -13796 , 11817, 11801, 11800, 16509, 11824, 11819, 16510, 16512 -13797 , 11800, 11801, 11817, 16509, 11799, 11802, 11818, 12234 -13798 , 11823, 11817, 16509, 16511, 16549, 11824, 16512, 16514 -13799 , 16509, 11817, 11823, 16511, 12234, 11818, 11827, 16515 -13800 , 16548, 11823, 16511, 16513, 16551, 16549, 16514, 16517 -13801 , 16511, 11823, 16548, 16513, 16515, 11827, 12235, 16518 -13802 , 16550, 16548, 16513, 16516, 16553, 16551, 16517, 16520 -13803 , 16513, 16548, 16550, 16516, 16518, 12235, 16554, 16521 -13804 , 16552, 16550, 16516, 16519, 16556, 16553, 16520, 16523 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8861, 8860, 8840, 8839, 16544, 16541, 16547, 16569 -13822 , 16547, 16541, 8860, 8840, 16570, 16546, 8862, 8841 -13823 , 13249, 15781, 15784, 13275, 13276, 15858, 15861, 13295 -13824 , 15784, 15781, 13249, 13275, 15707, 15701, 13277, 13296 -13825 , 11849, 11822, 11823, 16548, 16572, 11845, 16549, 16551 -13826 , 11823, 11822, 11849, 16548, 11827, 11828, 11850, 12235 -13827 , 16571, 11849, 16548, 16550, 16574, 16572, 16551, 16553 -13828 , 16548, 11849, 16571, 16550, 12235, 11850, 12236, 16554 -13829 , 16573, 16571, 16550, 16552, 16576, 16574, 16553, 16556 -13830 , 16550, 16571, 16573, 16552, 16554, 12236, 16577, 16557 -13831 , 16575, 16573, 16552, 16555, 16579, 16576, 16556, 16559 -13832 , 16552, 16573, 16575, 16555, 16557, 16577, 16580, 16560 -13833 , 7194, 8647, 8650, 7292, 13285, 15628, 15631, 13437 -13834 , 16578, 16575, 16555, 16558, 16585, 16579, 16559, 16561 -13835 , 16555, 16575, 16578, 16558, 16560, 16580, 16582, 16562 -13836 , 16562, 16558, 16563, 16581, 16582, 16578, 16583, 16594 -13837 , 16583, 16578, 16558, 16563, 16593, 16585, 16561, 16584 -13838 , 8851, 8850, 8872, 8873, 16563, 16584, 16593, 16583 -13839 , 8851, 16563, 16583, 8873, 8852, 16581, 16594, 8874 -13840 , 13275, 15784, 15787, 13294, 13295, 15861, 15864, 13307 -13841 , 15787, 15784, 13275, 13294, 15711, 15707, 13296, 13308 -13842 , 11876, 11848, 11849, 16571, 16587, 11872, 16572, 16574 -13843 , 11849, 11848, 11876, 16571, 11850, 11853, 11877, 12236 -13844 , 16586, 11876, 16571, 16573, 16589, 16587, 16574, 16576 -13845 , 16571, 11876, 16586, 16573, 12236, 11877, 12237, 16577 -13846 , 16588, 16586, 16573, 16575, 16590, 16589, 16576, 16579 -13847 , 16573, 16586, 16588, 16575, 16577, 12237, 16592, 16580 -13848 , 16590, 16579, 16575, 16588, 16596, 16585, 16578, 16591 -13849 , 16575, 16588, 16591, 16578, 16580, 16592, 16598, 16582 -13850 , 8882, 8883, 8873, 8872, 16585, 16578, 16583, 16593 -13851 , 16583, 16578, 8883, 8873, 16594, 16582, 8884, 8874 -13852 , 8883, 8882, 8885, 8886, 16578, 16585, 16596, 16591 -13853 , 8883, 16578, 16591, 8886, 8884, 16582, 16598, 8887 -13854 , 13294, 15787, 15609, 13306, 13307, 15864, 15867, 13315 -13855 , 15609, 15787, 13294, 13306, 15596, 15711, 13308, 12248 -13856 , 11905, 11875, 11876, 16586, 11998, 11901, 16587, 16589 -13857 , 11876, 11875, 11905, 16586, 11877, 11880, 11906, 12237 -13858 , 16595, 11905, 16586, 16588, 16597, 11998, 16589, 16590 -13859 , 16586, 11905, 16595, 16588, 12237, 11906, 16599, 16592 -13860 , 16588, 16590, 16596, 16591, 16595, 16597, 16602, 16600 -13861 , 16592, 16588, 16591, 16598, 16599, 16595, 16600, 16603 -13862 , 8886, 8885, 8893, 8894, 16591, 16596, 16602, 16600 -13863 , 8886, 16591, 16600, 8894, 8887, 16598, 16603, 8895 -13864 , 13306, 15609, 15594, 12244, 13315, 15867, 15870, 13319 -13865 , 11906, 11905, 16595, 16599, 12232, 11904, 16601, 16605 -13866 , 16601, 11904, 11905, 16595, 16604, 11997, 11998, 16597 -13867 , 8901, 8902, 8894, 8893, 16597, 16595, 16600, 16602 -13868 , 16600, 16595, 8902, 8894, 16603, 16599, 8903, 8895 -13869 , 8902, 8901, 8904, 8905, 16595, 16597, 16604, 16601 -13870 , 8902, 16595, 16601, 8905, 8903, 16599, 16605, 8906 -13871 , 8918, 8912, 8905, 8904, 11997, 11904, 16601, 16604 -13872 , 16601, 11904, 8912, 8905, 16605, 12232, 8916, 8906 -13873 , 12244, 15594, 15599, 12294, 13319, 15870, 15873, 13322 -13874 , 12294, 15599, 15669, 12382, 13322, 15873, 15876, 13323 -13875 , 8636, 8635, 8639, 8959, 15615, 15612, 15666, 15678 -13876 , 8640, 8636, 8959, 8960, 15618, 15615, 15678, 15679 -13877 , 8643, 8640, 8960, 8961, 15621, 15618, 15679, 15687 -13878 , 12382, 15669, 15762, 12453, 13323, 15876, 15879, 13338 -13879 , 8645, 8643, 8961, 8962, 15625, 15621, 15687, 15693 -13880 , 8648, 8645, 8962, 8963, 15627, 15625, 15693, 15698 -13881 , 8651, 8648, 8963, 8964, 15630, 15627, 15698, 15704 -13882 , 8652, 8651, 8964, 8965, 15633, 15630, 15704, 15709 -13883 , 8655, 8652, 8965, 8966, 15636, 15633, 15709, 15712 -13884 , 8655, 8967, 8968, 8658, 15636, 16606, 16607, 15640 -13885 , 8967, 8655, 8966, 8969, 16606, 15636, 15712, 16621 -13886 , 8658, 8968, 8970, 8661, 15640, 16607, 16608, 15643 -13887 , 8664, 8661, 8971, 8671, 15647, 15643, 15717, 15721 -13888 , 8661, 8970, 8972, 8971, 15643, 16608, 16624, 15717 -13889 , 8680, 8973, 8974, 8681, 15657, 16609, 16610, 15660 -13890 , 8973, 8680, 8684, 8975, 16609, 15657, 15742, 16629 -13891 , 8681, 8974, 8976, 8685, 15660, 16610, 16611, 15662 -13892 , 8685, 8976, 8977, 8687, 15662, 16611, 16612, 15664 -13893 , 8687, 8977, 8978, 8639, 15664, 16612, 16613, 15666 -13894 , 8639, 8978, 8979, 8959, 15666, 16613, 16614, 15678 -13895 , 8959, 8979, 8980, 8960, 15678, 16614, 16615, 15679 -13896 , 8960, 8980, 8981, 8961, 15679, 16615, 16616, 15687 -13897 , 8961, 8981, 8982, 8962, 15687, 16616, 16617, 15693 -13898 , 8962, 8982, 8983, 8963, 15693, 16617, 16618, 15698 -13899 , 8963, 8983, 8984, 8964, 15698, 16618, 16619, 15704 -13900 , 8964, 8984, 8985, 8965, 15704, 16619, 16620, 15709 -13901 , 12453, 15762, 15801, 12524, 13338, 15879, 15884, 13368 -13902 , 8965, 8985, 8969, 8966, 15709, 16620, 16621, 15712 -13903 , 15718, 15715, 15712, 15714, 16623, 16651, 16621, 16622 -13904 , 15720, 15718, 15714, 15717, 16654, 16623, 16622, 16624 -13905 , 15714, 15712, 15636, 15640, 16622, 16621, 16606, 16607 -13906 , 15717, 15714, 15640, 15643, 16624, 16622, 16607, 16608 -13907 , 8971, 8972, 8986, 8671, 15717, 16624, 16625, 15721 -13908 , 8671, 8986, 8987, 8688, 15721, 16625, 16626, 15725 -13909 , 8689, 8688, 8988, 8696, 15729, 15725, 15798, 15804 -13910 , 8688, 8987, 8989, 8988, 15725, 16626, 16659, 15798 -13911 , 8700, 8699, 8706, 8990, 15738, 15736, 15816, 15823 -13912 , 8700, 8991, 8992, 8707, 15738, 16627, 16628, 15740 -13913 , 8991, 8700, 8990, 8993, 16627, 15738, 15823, 16664 -13914 , 8707, 8992, 8975, 8684, 15740, 16628, 16629, 15742 -13915 , 15760, 15753, 15747, 15748, 16634, 16632, 16630, 16631 -13916 , 15748, 15747, 15660, 15662, 16631, 16630, 16610, 16611 -13917 , 15753, 15830, 15742, 15747, 16632, 16666, 16629, 16630 -13918 , 15747, 15742, 15657, 15660, 16630, 16629, 16609, 16610 -13919 , 15767, 15760, 15748, 15757, 16636, 16634, 16631, 16633 -13920 , 15757, 15748, 15662, 15664, 16633, 16631, 16611, 16612 -13921 , 15770, 15767, 15757, 15764, 16638, 16636, 16633, 16635 -13922 , 15764, 15757, 15664, 15666, 16635, 16633, 16612, 16613 -13923 , 15773, 15770, 15764, 15681, 16640, 16638, 16635, 16637 -13924 , 16637, 16635, 15764, 15681, 16614, 16613, 15666, 15678 -13925 , 15776, 15773, 15681, 15688, 16642, 16640, 16637, 16639 -13926 , 16639, 16637, 15681, 15688, 16615, 16614, 15678, 15679 -13927 , 15779, 15776, 15688, 15694, 16644, 16642, 16639, 16641 -13928 , 15694, 15688, 15679, 15687, 16641, 16639, 16615, 16616 -13929 , 15782, 15779, 15694, 15700, 16646, 16644, 16641, 16643 -13930 , 15700, 15694, 15687, 15693, 16643, 16641, 16616, 16617 -13931 , 15785, 15782, 15700, 15706, 16648, 16646, 16643, 16645 -13932 , 15706, 15700, 15693, 15698, 16645, 16643, 16617, 16618 -13933 , 15788, 15785, 15706, 15710, 16650, 16648, 16645, 16647 -13934 , 15710, 15706, 15698, 15704, 16647, 16645, 16618, 16619 -13935 , 12524, 15801, 15882, 12596, 13368, 15884, 15890, 13395 -13936 , 15789, 15788, 15710, 15713, 16652, 16650, 16647, 16649 -13937 , 16649, 16647, 15710, 15713, 16620, 16619, 15704, 15709 -13938 , 15790, 15789, 15713, 15715, 16653, 16652, 16649, 16651 -13939 , 16651, 16649, 15713, 15715, 16621, 16620, 15709, 15712 -13940 , 15792, 15790, 15715, 15718, 16655, 16653, 16651, 16623 -13941 , 15795, 15792, 15718, 15720, 16657, 16655, 16623, 16654 -13942 , 15799, 15795, 15720, 15794, 16658, 16657, 16654, 16656 -13943 , 15794, 15720, 15717, 15721, 16656, 16654, 16624, 16625 -13944 , 15802, 15799, 15794, 15798, 16683, 16658, 16656, 16659 -13945 , 15798, 15794, 15721, 15725, 16659, 16656, 16625, 16626 -13946 , 8988, 8989, 8994, 8696, 15798, 16659, 16660, 15804 -13947 , 8696, 8994, 8995, 8708, 15804, 16660, 16661, 15807 -13948 , 8711, 8708, 8996, 8714, 15810, 15807, 15889, 15896 -13949 , 8708, 8995, 8997, 8996, 15807, 16661, 16688, 15889 -13950 , 8717, 8998, 8999, 8706, 15814, 16662, 16663, 15816 -13951 , 8998, 8717, 8720, 9000, 16662, 15814, 15905, 16691 -13952 , 8706, 8999, 8993, 8990, 15816, 16663, 16664, 15823 -13953 , 15835, 15832, 15824, 15830, 16668, 16667, 16665, 16666 -13954 , 15830, 15824, 15740, 15742, 16666, 16665, 16628, 16629 -13955 , 15832, 15827, 15823, 15824, 16667, 16693, 16664, 16665 -13956 , 15824, 15823, 15738, 15740, 16665, 16664, 16627, 16628 -13957 , 15838, 15835, 15830, 15753, 16669, 16668, 16666, 16632 -13958 , 15841, 15838, 15753, 15760, 16670, 16669, 16632, 16634 -13959 , 15844, 15841, 15760, 15767, 16671, 16670, 16634, 16636 -13960 , 15847, 15844, 15767, 15770, 16672, 16671, 16636, 16638 -13961 , 15850, 15847, 15770, 15773, 16673, 16672, 16638, 16640 -13962 , 15853, 15850, 15773, 15776, 16674, 16673, 16640, 16642 -13963 , 12596, 15882, 15888, 13394, 13395, 15890, 15893, 13419 -13964 , 15856, 15853, 15776, 15779, 16675, 16674, 16642, 16644 -13965 , 15859, 15856, 15779, 15782, 16676, 16675, 16644, 16646 -13966 , 15862, 15859, 15782, 15785, 16677, 16676, 16646, 16648 -13967 , 15865, 15862, 15785, 15788, 16678, 16677, 16648, 16650 -13968 , 15868, 15865, 15788, 15789, 16679, 16678, 16650, 16652 -13969 , 15871, 15868, 15789, 15790, 16680, 16679, 16652, 16653 -13970 , 15874, 15871, 15790, 15792, 16681, 16680, 16653, 16655 -13971 , 15877, 15874, 15792, 15795, 16682, 16681, 16655, 16657 -13972 , 15880, 15877, 15795, 15799, 16684, 16682, 16657, 16658 -13973 , 15885, 15880, 15799, 15802, 16686, 16684, 16658, 16683 -13974 , 15891, 15885, 15802, 15883, 16687, 16686, 16683, 16685 -13975 , 15883, 15802, 15798, 15804, 16685, 16683, 16659, 16660 -13976 , 15894, 15891, 15883, 15889, 16714, 16687, 16685, 16688 -13977 , 15889, 15883, 15804, 15807, 16688, 16685, 16660, 16661 -13978 , 8996, 8997, 9001, 8714, 15889, 16688, 16689, 15896 -13979 , 8721, 8714, 9002, 8724, 15899, 15896, 15975, 15983 -13980 , 8714, 9001, 9003, 9002, 15896, 16689, 16717, 15975 -13981 , 8728, 9004, 9000, 8720, 15903, 16690, 16691, 15905 -13982 , 9004, 8728, 8731, 9005, 16690, 15903, 15992, 16721 -13983 , 15915, 15912, 15909, 15827, 16695, 16694, 16692, 16693 -13984 , 16693, 16692, 15909, 15827, 16664, 16663, 15816, 15823 -13985 , 15912, 15996, 15905, 15909, 16694, 16722, 16691, 16692 -13986 , 15909, 15905, 15814, 15816, 16692, 16691, 16662, 16663 -13987 , 15918, 15915, 15827, 15832, 16696, 16695, 16693, 16667 -13988 , 15921, 15918, 15832, 15835, 16697, 16696, 16667, 16668 -13989 , 15893, 15888, 13394, 13419, 15976, 15895, 13420, 13793 -13990 , 15888, 15806, 12600, 13394, 15895, 15809, 12727, 13420 -13991 , 15924, 15921, 15835, 15838, 16698, 16697, 16668, 16669 -13992 , 15927, 15924, 15838, 15841, 16699, 16698, 16669, 16670 -13993 , 15930, 15927, 15841, 15844, 16700, 16699, 16670, 16671 -13994 , 15933, 15930, 15844, 15847, 16701, 16700, 16671, 16672 -13995 , 15936, 15933, 15847, 15850, 16702, 16701, 16672, 16673 -13996 , 15939, 15936, 15850, 15853, 16703, 16702, 16673, 16674 -13997 , 15942, 15939, 15853, 15856, 16704, 16703, 16674, 16675 -13998 , 15945, 15942, 15856, 15859, 16705, 16704, 16675, 16676 -13999 , 15948, 15945, 15859, 15862, 16706, 16705, 16676, 16677 -14000 , 15951, 15948, 15862, 15865, 16707, 16706, 16677, 16678 -14001 , 15954, 15951, 15865, 15868, 16708, 16707, 16678, 16679 -14002 , 15957, 15954, 15868, 15871, 16709, 16708, 16679, 16680 -14003 , 15960, 15957, 15871, 15874, 16710, 16709, 16680, 16681 -14004 , 15963, 15960, 15874, 15877, 16711, 16710, 16681, 16682 -14005 , 15966, 15963, 15877, 15880, 16712, 16711, 16682, 16684 -14006 , 15969, 15966, 15880, 15885, 16713, 16712, 16684, 16686 -14007 , 7292, 8650, 8654, 7427, 13437, 15631, 15634, 13613 -14008 , 15972, 15969, 15885, 15891, 16715, 16713, 16686, 16687 -14009 , 15977, 15972, 15891, 15894, 16716, 16715, 16687, 16714 -14010 , 15980, 15977, 15894, 15975, 16745, 16716, 16714, 16717 -14011 , 15975, 15894, 15889, 15896, 16717, 16714, 16688, 16689 -14012 , 9002, 9003, 9006, 8724, 15975, 16717, 16718, 15983 -14013 , 7159, 8713, 8723, 7429, 13420, 15895, 15900, 13464 -14014 , 8724, 9006, 9007, 8733, 15983, 16718, 16719, 15986 -14015 , 8733, 9007, 9008, 8736, 15986, 16719, 16750, 16075 -14016 , 8740, 9009, 9005, 8731, 15990, 16720, 16721, 15992 -14017 , 9009, 8740, 8743, 9010, 16720, 15990, 16085, 16751 -14018 , 16002, 15999, 15996, 15912, 16724, 16723, 16722, 16694 -14019 , 15999, 16089, 15992, 15996, 16723, 16752, 16721, 16722 -14020 , 15996, 15992, 15903, 15905, 16722, 16721, 16690, 16691 -14021 , 16005, 16002, 15912, 15915, 16725, 16724, 16694, 16695 -14022 , 16008, 16005, 15915, 15918, 16726, 16725, 16695, 16696 -14023 , 16011, 16008, 15918, 15921, 16727, 16726, 16696, 16697 -14024 , 16014, 16011, 15921, 15924, 16728, 16727, 16697, 16698 -14025 , 16017, 16014, 15924, 15927, 16729, 16728, 16698, 16699 -14026 , 16020, 16017, 15927, 15930, 16730, 16729, 16699, 16700 -14027 , 16023, 16020, 15930, 15933, 16731, 16730, 16700, 16701 -14028 , 16026, 16023, 15933, 15936, 16732, 16731, 16701, 16702 -14029 , 16029, 16026, 15936, 15939, 16733, 16732, 16702, 16703 -14030 , 16032, 16029, 15939, 15942, 16734, 16733, 16703, 16704 -14031 , 16035, 16032, 15942, 15945, 16735, 16734, 16704, 16705 -14032 , 16038, 16035, 15945, 15948, 16736, 16735, 16705, 16706 -14033 , 16041, 16038, 15948, 15951, 16737, 16736, 16706, 16707 -14034 , 16044, 16041, 15951, 15954, 16738, 16737, 16707, 16708 -14035 , 16047, 16044, 15954, 15957, 16739, 16738, 16708, 16709 -14036 , 7429, 8723, 8726, 7434, 13464, 15900, 15982, 13814 -14037 , 16050, 16047, 15957, 15960, 16740, 16739, 16709, 16710 -14038 , 16053, 16050, 15960, 15963, 16741, 16740, 16710, 16711 -14039 , 16056, 16053, 15963, 15966, 16742, 16741, 16711, 16712 -14040 , 16059, 16056, 15966, 15969, 16743, 16742, 16712, 16713 -14041 , 16062, 16059, 15969, 15972, 16744, 16743, 16713, 16715 -14042 , 16065, 16062, 15972, 15977, 16746, 16744, 16715, 16716 -14043 , 16070, 16065, 15977, 15980, 16748, 16746, 16716, 16745 -14044 , 16073, 16070, 15980, 16068, 16749, 16748, 16745, 16747 -14045 , 16068, 15980, 15975, 15983, 16747, 16745, 16717, 16718 -14046 , 16163, 16073, 16068, 16075, 16779, 16749, 16747, 16750 -14047 , 16075, 16068, 15983, 15986, 16750, 16747, 16718, 16719 -14048 , 8745, 8736, 9011, 8748, 16079, 16075, 16163, 16171 -14049 , 8736, 9008, 9012, 9011, 16075, 16750, 16779, 16163 -14050 , 8743, 8752, 8755, 9013, 16085, 16083, 16173, 16177 -14051 , 9010, 8743, 9013, 9014, 16751, 16085, 16177, 16781 -14052 , 16095, 16092, 16089, 15999, 16754, 16753, 16752, 16723 -14053 , 16092, 16177, 16085, 16089, 16753, 16781, 16751, 16752 -14054 , 16089, 16085, 15990, 15992, 16752, 16751, 16720, 16721 -14055 , 16098, 16095, 15999, 16002, 16755, 16754, 16723, 16724 -14056 , 16101, 16098, 16002, 16005, 16756, 16755, 16724, 16725 -14057 , 16104, 16101, 16005, 16008, 16757, 16756, 16725, 16726 -14058 , 16107, 16104, 16008, 16011, 16758, 16757, 16726, 16727 -14059 , 16110, 16107, 16011, 16014, 16759, 16758, 16727, 16728 -14060 , 16112, 16110, 16014, 16017, 16760, 16759, 16728, 16729 -14061 , 7439, 8729, 8718, 7174, 13486, 15904, 15906, 13507 -14062 , 8729, 7439, 7440, 8732, 15904, 13486, 13895, 15993 -14063 , 16114, 16112, 16017, 16020, 16761, 16760, 16729, 16730 -14064 , 16116, 16114, 16020, 16023, 16762, 16761, 16730, 16731 -14065 , 16118, 16116, 16023, 16026, 16763, 16762, 16731, 16732 -14066 , 16121, 16118, 16026, 16029, 16764, 16763, 16732, 16733 -14067 , 16124, 16121, 16029, 16032, 16765, 16764, 16733, 16734 -14068 , 16127, 16124, 16032, 16035, 16766, 16765, 16734, 16735 -14069 , 16130, 16127, 16035, 16038, 16767, 16766, 16735, 16736 -14070 , 16133, 16130, 16038, 16041, 16768, 16767, 16736, 16737 -14071 , 16136, 16133, 16041, 16044, 16769, 16768, 16737, 16738 -14072 , 16139, 16136, 16044, 16047, 16770, 16769, 16738, 16739 -14073 , 16142, 16139, 16047, 16050, 16771, 16770, 16739, 16740 -14074 , 16145, 16142, 16050, 16053, 16772, 16771, 16740, 16741 -14075 , 16148, 16145, 16053, 16056, 16773, 16772, 16741, 16742 -14076 , 16151, 16148, 16056, 16059, 16774, 16773, 16742, 16743 -14077 , 16154, 16151, 16059, 16062, 16775, 16774, 16743, 16744 -14078 , 16157, 16154, 16062, 16065, 16776, 16775, 16744, 16746 -14079 , 16160, 16157, 16065, 16070, 16777, 16776, 16746, 16748 -14080 , 16165, 16160, 16070, 16073, 16778, 16777, 16748, 16749 -14081 , 16167, 16165, 16073, 16163, 16805, 16778, 16749, 16779 -14082 , 9011, 9012, 9015, 8748, 16163, 16779, 16780, 16171 -14083 , 8748, 9015, 9016, 8757, 16171, 16780, 16808, 16243 -14084 , 9013, 8755, 8761, 8772, 16177, 16173, 16249, 16180 -14085 , 9014, 9013, 8772, 9017, 16781, 16177, 16180, 16809 -14086 , 16185, 16182, 16092, 16095, 16783, 16782, 16753, 16754 -14087 , 16182, 16180, 16177, 16092, 16782, 16809, 16781, 16753 -14088 , 16188, 16185, 16095, 16098, 16784, 16783, 16754, 16755 -14089 , 16191, 16188, 16098, 16101, 16785, 16784, 16755, 16756 -14090 , 16194, 16191, 16101, 16104, 16786, 16785, 16756, 16757 -14091 , 16197, 16194, 16104, 16107, 16787, 16786, 16757, 16758 -14092 , 16199, 16197, 16107, 16110, 16788, 16787, 16758, 16759 -14093 , 16200, 16199, 16110, 16112, 16789, 16788, 16759, 16760 -14094 , 16201, 16200, 16112, 16114, 16790, 16789, 16760, 16761 -14095 , 10785, 16201, 16114, 16116, 16791, 16790, 16761, 16762 -14096 , 10788, 10785, 16116, 16118, 10819, 16791, 16762, 16763 -14097 , 10791, 10788, 16118, 16121, 10820, 10819, 16763, 16764 -14098 , 10794, 10791, 16121, 16124, 16792, 10820, 16764, 16765 -14099 , 16203, 10794, 16124, 16127, 16793, 16792, 16765, 16766 -14100 , 16205, 16203, 16127, 16130, 16794, 16793, 16766, 16767 -14101 , 16208, 16205, 16130, 16133, 16795, 16794, 16767, 16768 -14102 , 16211, 16208, 16133, 16136, 16796, 16795, 16768, 16769 -14103 , 16214, 16211, 16136, 16139, 16797, 16796, 16769, 16770 -14104 , 13525, 15910, 15826, 12899, 13526, 15913, 15916, 13547 -14105 , 13525, 15910, 15913, 13526, 13507, 15906, 15997, 13908 -14106 , 12855, 15815, 15910, 13525, 12790, 15813, 15906, 13507 -14107 , 16217, 16214, 16139, 16142, 16798, 16797, 16770, 16771 -14108 , 16220, 16217, 16142, 16145, 16799, 16798, 16771, 16772 -14109 , 16223, 16220, 16145, 16148, 16800, 16799, 16772, 16773 -14110 , 16226, 16223, 16148, 16151, 16801, 16800, 16773, 16774 -14111 , 16229, 16226, 16151, 16154, 16802, 16801, 16774, 16775 -14112 , 16232, 16229, 16154, 16157, 16803, 16802, 16775, 16776 -14113 , 16235, 16232, 16157, 16160, 16804, 16803, 16776, 16777 -14114 , 16238, 16235, 16160, 16165, 16806, 16804, 16777, 16778 -14115 , 16240, 16238, 16165, 16167, 16807, 16806, 16778, 16805 -14116 , 16807, 16805, 16167, 16240, 16827, 16808, 16243, 16301 -14117 , 16805, 16779, 16163, 16167, 16808, 16780, 16171, 16243 -14118 , 8757, 9016, 9018, 8767, 16243, 16808, 16827, 16301 -14119 , 9017, 8772, 8774, 9019, 16809, 16180, 16309, 16829 -14120 , 16257, 16254, 16182, 16185, 16811, 16810, 16782, 16783 -14121 , 16182, 16782, 16810, 16254, 16180, 16809, 16829, 16309 -14122 , 16260, 16257, 16185, 16188, 16812, 16811, 16783, 16784 -14123 , 16263, 16260, 16188, 16191, 16813, 16812, 16784, 16785 -14124 , 16266, 16263, 16191, 16194, 16814, 16813, 16785, 16786 -14125 , 16269, 16266, 16194, 16197, 16815, 16814, 16786, 16787 -14126 , 16270, 16269, 16197, 16199, 16816, 16815, 16787, 16788 -14127 , 10799, 16270, 16199, 16200, 16817, 16816, 16788, 16789 -14128 , 12899, 15826, 15831, 12949, 13547, 15916, 15919, 13559 -14129 , 10801, 10799, 16200, 16201, 10821, 16817, 16789, 16790 -14130 , 16201, 10801, 10277, 10785, 10778, 10779, 10780, 10781 -14131 , 10277, 10801, 16201, 10785, 10281, 10821, 16790, 16791 -14132 , 10531, 10289, 10794, 16203, 10322, 10290, 16792, 16793 -14133 , 10794, 10289, 10531, 16203, 10790, 10526, 10530, 10793 -14134 , 10590, 10531, 16203, 16205, 10822, 10322, 16793, 16794 -14135 , 10809, 10590, 16205, 16208, 10823, 10822, 16794, 16795 -14136 , 10812, 10809, 16208, 16211, 10826, 10823, 16795, 16796 -14137 , 10825, 10812, 16211, 16214, 10832, 10826, 16796, 16797 -14138 , 16275, 10825, 16214, 16217, 16818, 10832, 16797, 16798 -14139 , 16278, 16275, 16217, 16220, 16819, 16818, 16798, 16799 -14140 , 16281, 16278, 16220, 16223, 16820, 16819, 16799, 16800 -14141 , 16284, 16281, 16223, 16226, 16821, 16820, 16800, 16801 -14142 , 16287, 16284, 16226, 16229, 16822, 16821, 16801, 16802 -14143 , 16290, 16287, 16229, 16232, 16823, 16822, 16802, 16803 -14144 , 16293, 16290, 16232, 16235, 16824, 16823, 16803, 16804 -14145 , 16296, 16293, 16235, 16238, 16825, 16824, 16804, 16806 -14146 , 16299, 16296, 16238, 16240, 16826, 16825, 16806, 16807 -14147 , 16826, 16807, 16240, 16299, 16846, 16827, 16301, 16357 -14148 , 12949, 15831, 15834, 12989, 13559, 15919, 15922, 13569 -14149 , 8775, 8767, 9020, 8776, 16304, 16301, 16357, 16365 -14150 , 8767, 9018, 9021, 9020, 16301, 16827, 16846, 16357 -14151 , 8779, 9022, 9019, 8774, 16307, 16828, 16829, 16309 -14152 , 9022, 8779, 8781, 9023, 16828, 16307, 16367, 16848 -14153 , 16317, 16313, 16254, 16257, 16831, 16830, 16810, 16811 -14154 , 16313, 16371, 16309, 16254, 16830, 16849, 16829, 16810 -14155 , 16320, 16317, 16257, 16260, 16832, 16831, 16811, 16812 -14156 , 16323, 16320, 16260, 16263, 16833, 16832, 16812, 16813 -14157 , 16326, 16323, 16263, 16266, 16834, 16833, 16813, 16814 -14158 , 16329, 16326, 16266, 16269, 16835, 16834, 16814, 16815 -14159 , 16330, 16329, 16269, 16270, 16836, 16835, 16815, 16816 -14160 , 10800, 16330, 16270, 10799, 10828, 16836, 16816, 16817 -14161 , 12989, 15834, 15837, 13019, 13569, 15922, 15925, 13589 -14162 , 16333, 10824, 10825, 16275, 16837, 10829, 10832, 16818 -14163 , 16336, 16333, 16275, 16278, 16838, 16837, 16818, 16819 -14164 , 16339, 16336, 16278, 16281, 16839, 16838, 16819, 16820 -14165 , 16342, 16339, 16281, 16284, 16840, 16839, 16820, 16821 -14166 , 16345, 16342, 16284, 16287, 16841, 16840, 16821, 16822 -14167 , 16348, 16345, 16287, 16290, 16842, 16841, 16822, 16823 -14168 , 16351, 16348, 16290, 16293, 16843, 16842, 16823, 16824 -14169 , 16354, 16351, 16293, 16296, 16844, 16843, 16824, 16825 -14170 , 16359, 16354, 16296, 16299, 16845, 16844, 16825, 16826 -14171 , 16361, 16359, 16299, 16357, 16866, 16845, 16826, 16846 -14172 , 9020, 9021, 9024, 8776, 16357, 16846, 16847, 16365 -14173 , 8776, 9024, 9025, 8783, 16365, 16847, 16869, 16423 -14174 , 9023, 8781, 8787, 9026, 16848, 16367, 16426, 16870 -14175 , 16376, 16373, 16371, 16313, 16851, 16850, 16849, 16830 -14176 , 16371, 16367, 16307, 16309, 16849, 16848, 16828, 16829 -14177 , 16373, 16426, 16367, 16371, 16850, 16870, 16848, 16849 -14178 , 16379, 16376, 16313, 16317, 16852, 16851, 16830, 16831 -14179 , 16382, 16379, 16317, 16320, 16853, 16852, 16831, 16832 -14180 , 16385, 16382, 16320, 16323, 16854, 16853, 16832, 16833 -14181 , 16388, 16385, 16323, 16326, 16855, 16854, 16833, 16834 -14182 , 16391, 16388, 16326, 16329, 16856, 16855, 16834, 16835 -14183 , 13019, 15837, 15840, 13080, 13589, 15925, 15928, 13599 -14184 , 16392, 16391, 16329, 16330, 16857, 16856, 16835, 16836 -14185 , 10263, 16392, 16330, 10800, 10304, 16857, 16836, 10828 -14186 , 16395, 10654, 10824, 16333, 16858, 10831, 10829, 16837 -14187 , 16397, 16395, 16333, 16336, 16859, 16858, 16837, 16838 -14188 , 16400, 16397, 16336, 16339, 16860, 16859, 16838, 16839 -14189 , 16403, 16400, 16339, 16342, 16861, 16860, 16839, 16840 -14190 , 16406, 16403, 16342, 16345, 16862, 16861, 16840, 16841 -14191 , 16409, 16406, 16345, 16348, 16863, 16862, 16841, 16842 -14192 , 16412, 16409, 16348, 16351, 16864, 16863, 16842, 16843 -14193 , 16415, 16412, 16351, 16354, 16865, 16864, 16843, 16844 -14194 , 13080, 15840, 15843, 13114, 13599, 15928, 15931, 13614 -14195 , 16418, 16415, 16354, 16359, 16867, 16865, 16844, 16845 -14196 , 16420, 16418, 16359, 16361, 16868, 16867, 16845, 16866 -14197 , 16479, 16420, 16361, 16423, 16888, 16868, 16866, 16869 -14198 , 16423, 16361, 16357, 16365, 16869, 16866, 16846, 16847 -14199 , 8783, 9025, 9027, 8789, 16423, 16869, 16888, 16479 -14200 , 9026, 8787, 8795, 9028, 16870, 16426, 16373, 16850 -14201 , 9028, 8795, 8797, 9029, 16850, 16373, 16483, 16889 -14202 , 16376, 16851, 16852, 16379, 16431, 16871, 16872, 16434 -14203 , 16373, 16850, 16851, 16376, 16483, 16889, 16871, 16431 -14204 , 16437, 16434, 16379, 16382, 16873, 16872, 16852, 16853 -14205 , 16440, 16437, 16382, 16385, 16874, 16873, 16853, 16854 -14206 , 16443, 16440, 16385, 16388, 16875, 16874, 16854, 16855 -14207 , 16446, 16443, 16388, 16391, 16876, 16875, 16855, 16856 -14208 , 16448, 16446, 16391, 16392, 16877, 16876, 16856, 16857 -14209 , 10303, 16448, 16392, 10263, 10309, 16877, 16857, 10304 -14210 , 7427, 8654, 8657, 7456, 13613, 15634, 15637, 13683 -14211 , 13114, 15843, 15846, 13142, 13614, 15931, 15934, 13629 -14212 , 16451, 10637, 10654, 16395, 16878, 10660, 10831, 16858 -14213 , 16453, 16451, 16395, 16397, 16879, 16878, 16858, 16859 -14214 , 16456, 16453, 16397, 16400, 16880, 16879, 16859, 16860 -14215 , 16459, 16456, 16400, 16403, 16881, 16880, 16860, 16861 -14216 , 16462, 16459, 16403, 16406, 16882, 16881, 16861, 16862 -14217 , 16465, 16462, 16406, 16409, 16883, 16882, 16862, 16863 -14218 , 16468, 16465, 16409, 16412, 16884, 16883, 16863, 16864 -14219 , 16471, 16468, 16412, 16415, 16885, 16884, 16864, 16865 -14220 , 16474, 16471, 16415, 16418, 16886, 16885, 16865, 16867 -14221 , 16476, 16474, 16418, 16420, 16887, 16886, 16867, 16868 -14222 , 16531, 16476, 16420, 16479, 16905, 16887, 16868, 16888 -14223 , 8789, 9027, 9030, 8798, 16479, 16888, 16905, 16531 -14224 , 9031, 8797, 8803, 8823, 16431, 16483, 16533, 16488 -14225 , 9029, 8797, 9031, 9032, 16889, 16483, 16431, 16871 -14226 , 9033, 9031, 8823, 8826, 16434, 16431, 16488, 16491 -14227 , 9032, 9031, 9033, 9034, 16871, 16431, 16434, 16872 -14228 , 9034, 9033, 8826, 9035, 16872, 16434, 16491, 16906 -14229 , 16437, 16873, 16874, 16440, 16493, 16890, 16891, 16496 -14230 , 16493, 16491, 16434, 16437, 16890, 16906, 16872, 16873 -14231 , 16440, 16874, 16875, 16443, 16496, 16891, 16892, 16499 -14232 , 13142, 15846, 15849, 13200, 13629, 15934, 15937, 13639 -14233 , 16502, 16499, 16443, 16446, 16893, 16892, 16875, 16876 -14234 , 16504, 16502, 16446, 16448, 16894, 16893, 16876, 16877 -14235 , 10311, 16504, 16448, 10303, 10355, 16894, 16877, 10309 -14236 , 10311, 10303, 10310, 16505, 10312, 10272, 10270, 10275 -14237 , 16507, 10639, 10637, 16451, 16895, 10661, 10660, 16878 -14238 , 16508, 16507, 16451, 16453, 16896, 16895, 16878, 16879 -14239 , 16510, 16508, 16453, 16456, 16897, 16896, 16879, 16880 -14240 , 16512, 16510, 16456, 16459, 16898, 16897, 16880, 16881 -14241 , 16514, 16512, 16459, 16462, 16899, 16898, 16881, 16882 -14242 , 16517, 16514, 16462, 16465, 16900, 16899, 16882, 16883 -14243 , 16520, 16517, 16465, 16468, 16901, 16900, 16883, 16884 -14244 , 13200, 15849, 15852, 13224, 13639, 15937, 15940, 13648 -14245 , 16523, 16520, 16468, 16471, 16902, 16901, 16884, 16885 -14246 , 16526, 16523, 16471, 16474, 16903, 16902, 16885, 16886 -14247 , 16528, 16526, 16474, 16476, 16904, 16903, 16886, 16887 -14248 , 16564, 16528, 16476, 16531, 16917, 16904, 16887, 16905 -14249 , 8798, 9030, 9036, 8819, 16531, 16905, 16917, 16564 -14250 , 9035, 8826, 8829, 9037, 16906, 16491, 16493, 16890 -14251 , 9037, 8829, 8834, 9038, 16890, 16493, 16496, 16891 -14252 , 9039, 8834, 8836, 8855, 16499, 16496, 16567, 16540 -14253 , 9038, 8834, 9039, 9040, 16891, 16496, 16499, 16892 -14254 , 9040, 9039, 8855, 9041, 16892, 16499, 16540, 16919 -14255 , 16502, 16893, 16894, 16504, 16542, 16907, 16908, 16544 -14256 , 16542, 16540, 16499, 16502, 16907, 16919, 16892, 16893 -14257 , 16504, 16894, 10355, 10311, 16544, 16908, 16920, 16569 -14258 , 8837, 8838, 9042, 8839, 10311, 10312, 10424, 16569 -14259 , 13224, 15852, 15855, 13250, 13648, 15940, 15943, 13661 -14260 , 11806, 10658, 10638, 10639, 16909, 10657, 10641, 10661 -14261 , 10638, 10658, 11806, 10639, 10635, 11184, 11804, 10636 -14262 , 11807, 11806, 10639, 16507, 16910, 16909, 10661, 16895 -14263 , 11813, 11807, 16507, 16508, 11964, 16910, 16895, 16896 -14264 , 11819, 11813, 16508, 16510, 11966, 11964, 16896, 16897 -14265 , 11824, 11819, 16510, 16512, 16911, 11966, 16897, 16898 -14266 , 16549, 11824, 16512, 16514, 16912, 16911, 16898, 16899 -14267 , 16551, 16549, 16514, 16517, 16913, 16912, 16899, 16900 -14268 , 16553, 16551, 16517, 16520, 16914, 16913, 16900, 16901 -14269 , 16556, 16553, 16520, 16523, 16915, 16914, 16901, 16902 -14270 , 16559, 16556, 16523, 16526, 16916, 16915, 16902, 16903 -14271 , 16561, 16559, 16526, 16528, 16918, 16916, 16903, 16904 -14272 , 16584, 16561, 16528, 16564, 16926, 16918, 16904, 16917 -14273 , 8819, 9036, 9045, 8850, 16564, 16917, 16926, 16584 -14274 , 9041, 8855, 8858, 9046, 16919, 16540, 16542, 16907 -14275 , 9046, 8858, 8861, 9047, 16907, 16542, 16544, 16908 -14276 , 9047, 8861, 8839, 9048, 16908, 16544, 16569, 16920 -14277 , 9048, 8839, 9042, 9049, 16920, 16569, 10424, 10363 -14278 , 13250, 15855, 15858, 13276, 13661, 15943, 15946, 13667 -14279 , 9049, 9042, 9043, 9050, 10363, 10424, 10317, 10364 -14280 , 9050, 9043, 9044, 9051, 10364, 10317, 10318, 10365 -14281 , 11808, 11830, 10658, 11806, 11971, 11969, 10657, 16909 -14282 , 10658, 10657, 11969, 11830, 10579, 10585, 10591, 10584 -14283 , 11810, 11808, 11806, 11807, 11973, 11971, 16909, 16910 -14284 , 11845, 11825, 11824, 16549, 16921, 11976, 16911, 16912 -14285 , 11824, 11825, 11845, 16549, 11817, 11816, 11822, 11823 -14286 , 16572, 11845, 16549, 16551, 16922, 16921, 16912, 16913 -14287 , 16574, 16572, 16551, 16553, 16923, 16922, 16913, 16914 -14288 , 16576, 16574, 16553, 16556, 16924, 16923, 16914, 16915 -14289 , 16579, 16576, 16556, 16559, 16925, 16924, 16915, 16916 -14290 , 16925, 16916, 16559, 16579, 16931, 16918, 16561, 16585 -14291 , 8850, 9056, 8882, 8872, 16584, 16561, 16585, 16593 -14292 , 9057, 9056, 8850, 9045, 16918, 16561, 16584, 16926 -14293 , 9056, 9057, 9058, 8882, 16561, 16918, 16931, 16585 -14294 , 13276, 15858, 15861, 13295, 13667, 15946, 15949, 13674 -14295 , 11872, 11851, 11845, 16572, 16927, 11984, 16921, 16922 -14296 , 11845, 11851, 11872, 16572, 11822, 11844, 11848, 11849 -14297 , 16587, 11872, 16572, 16574, 16928, 16927, 16922, 16923 -14298 , 16589, 16587, 16574, 16576, 16929, 16928, 16923, 16924 -14299 , 16590, 16589, 16576, 16579, 16930, 16929, 16924, 16925 -14300 , 16930, 16925, 16579, 16590, 16932, 16931, 16585, 16596 -14301 , 8882, 9058, 9061, 8885, 16585, 16931, 16932, 16596 -14302 , 13295, 15861, 15864, 13307, 13674, 15949, 15952, 13677 -14303 , 11901, 11878, 11872, 16587, 11999, 11994, 16927, 16928 -14304 , 11872, 11878, 11901, 16587, 11848, 11871, 11875, 11876 -14305 , 11998, 11901, 16587, 16589, 12060, 11999, 16928, 16929 -14306 , 16589, 16929, 16930, 16590, 11998, 12060, 16933, 16597 -14307 , 16602, 16597, 16590, 16596, 16934, 16933, 16930, 16932 -14308 , 8885, 9061, 9066, 8893, 16596, 16932, 16934, 16602 -14309 , 13307, 15864, 15867, 13315, 13677, 15952, 15955, 13679 -14310 , 8901, 9070, 8918, 8904, 16597, 11998, 11997, 16604 -14311 , 9071, 9070, 8901, 9072, 12060, 11998, 16597, 16933 -14312 , 9072, 8901, 8893, 9066, 16933, 16597, 16602, 16934 -14313 , 13315, 15867, 15870, 13319, 13679, 15955, 15958, 13680 -14314 , 13319, 15870, 15873, 13322, 13680, 15958, 15961, 13684 -14315 , 8968, 8967, 8969, 9090, 16607, 16606, 16621, 16622 -14316 , 8970, 8968, 9090, 8972, 16608, 16607, 16622, 16624 -14317 , 8974, 8973, 8975, 9091, 16610, 16609, 16629, 16630 -14318 , 8976, 8974, 9091, 9092, 16611, 16610, 16630, 16631 -14319 , 8977, 8976, 9092, 9093, 16612, 16611, 16631, 16633 -14320 , 8978, 8977, 9093, 9094, 16613, 16612, 16633, 16635 -14321 , 8978, 9095, 9096, 8979, 16613, 16935, 16936, 16614 -14322 , 9095, 8978, 9094, 9097, 16935, 16613, 16635, 16946 -14323 , 8979, 9096, 9098, 8980, 16614, 16936, 16937, 16615 -14324 , 7456, 8657, 8660, 7526, 13683, 15637, 15641, 13897 -14325 , 13322, 15873, 15876, 13323, 13684, 15961, 15964, 13698 -14326 , 8981, 8980, 9099, 9100, 16616, 16615, 16639, 16641 -14327 , 8980, 9098, 9101, 9099, 16615, 16937, 16949, 16639 -14328 , 8982, 8981, 9100, 9102, 16617, 16616, 16641, 16643 -14329 , 8983, 8982, 9102, 9103, 16618, 16617, 16643, 16645 -14330 , 8984, 8983, 9103, 9104, 16619, 16618, 16645, 16647 -14331 , 8984, 9105, 9106, 8985, 16619, 16938, 16939, 16620 -14332 , 9105, 8984, 9104, 9107, 16938, 16619, 16647, 16953 -14333 , 8985, 9106, 9108, 8969, 16620, 16939, 16940, 16621 -14334 , 8969, 9108, 9109, 9090, 16621, 16940, 16941, 16622 -14335 , 8972, 9090, 9110, 9111, 16624, 16622, 16623, 16654 -14336 , 9090, 9109, 9112, 9110, 16622, 16941, 16958, 16623 -14337 , 8986, 8972, 9111, 9113, 16625, 16624, 16654, 16656 -14338 , 8987, 8986, 9113, 8989, 16626, 16625, 16656, 16659 -14339 , 8992, 8991, 8993, 9114, 16628, 16627, 16664, 16665 -14340 , 8975, 8992, 9114, 9115, 16629, 16628, 16665, 16666 -14341 , 8975, 9116, 9117, 9091, 16629, 16942, 16943, 16630 -14342 , 9116, 8975, 9115, 9118, 16942, 16629, 16666, 16965 -14343 , 9091, 9117, 9119, 9092, 16630, 16943, 16944, 16631 -14344 , 9092, 9119, 9120, 9093, 16631, 16944, 16945, 16633 -14345 , 9093, 9120, 9097, 9094, 16633, 16945, 16946, 16635 -14346 , 16640, 16638, 16635, 16637, 16948, 16971, 16946, 16947 -14347 , 16642, 16640, 16637, 16639, 16974, 16948, 16947, 16949 -14348 , 16637, 16635, 16613, 16614, 16947, 16946, 16935, 16936 -14349 , 16639, 16637, 16614, 16615, 16949, 16947, 16936, 16937 -14350 , 9099, 9101, 9121, 9100, 16639, 16949, 16950, 16641 -14351 , 13323, 15876, 15879, 13338, 13698, 15964, 15967, 13722 -14352 , 9100, 9121, 9122, 9102, 16641, 16950, 16951, 16643 -14353 , 9102, 9122, 9123, 9103, 16643, 16951, 16952, 16645 -14354 , 9103, 9123, 9107, 9104, 16645, 16952, 16953, 16647 -14355 , 16653, 16652, 16649, 16651, 16957, 16956, 16954, 16955 -14356 , 16651, 16649, 16620, 16621, 16955, 16954, 16939, 16940 -14357 , 16652, 16650, 16647, 16649, 16956, 16982, 16953, 16954 -14358 , 16649, 16647, 16619, 16620, 16954, 16953, 16938, 16939 -14359 , 16655, 16653, 16651, 16623, 16986, 16957, 16955, 16958 -14360 , 16623, 16651, 16621, 16622, 16958, 16955, 16940, 16941 -14361 , 16654, 16623, 9110, 9111, 16959, 16958, 9112, 10044 -14362 , 16656, 16654, 9111, 9113, 16960, 16959, 10044, 10045 -14363 , 16659, 16656, 9113, 8989, 16961, 16960, 10045, 10046 -14364 , 8994, 8989, 9124, 9125, 16660, 16659, 16683, 16685 -14365 , 16683, 16659, 8989, 9124, 16993, 16961, 10046, 10047 -14366 , 8995, 8994, 9125, 8997, 16661, 16660, 16685, 16688 -14367 , 8999, 8998, 9000, 9126, 16663, 16662, 16691, 16692 -14368 , 8999, 9127, 9128, 8993, 16663, 16962, 16963, 16664 -14369 , 9127, 8999, 9126, 9129, 16962, 16663, 16692, 16997 -14370 , 8993, 9128, 9130, 9114, 16664, 16963, 16964, 16665 -14371 , 9114, 9130, 9118, 9115, 16665, 16964, 16965, 16666 -14372 , 16670, 16669, 16632, 16634, 16970, 16968, 16966, 16967 -14373 , 16634, 16632, 16630, 16631, 16967, 16966, 16943, 16944 -14374 , 16669, 16668, 16666, 16632, 16968, 17001, 16965, 16966 -14375 , 16632, 16666, 16629, 16630, 16966, 16965, 16942, 16943 -14376 , 16671, 16670, 16634, 16636, 16972, 16970, 16967, 16969 -14377 , 16969, 16967, 16634, 16636, 16945, 16944, 16631, 16633 -14378 , 16672, 16671, 16636, 16638, 16973, 16972, 16969, 16971 -14379 , 16971, 16969, 16636, 16638, 16946, 16945, 16633, 16635 -14380 , 13338, 15879, 15884, 13368, 13722, 15967, 15970, 13751 -14381 , 16673, 16672, 16638, 16640, 16975, 16973, 16971, 16948 -14382 , 16674, 16673, 16640, 16642, 16977, 16975, 16948, 16974 -14383 , 16675, 16674, 16642, 16644, 16979, 16977, 16974, 16976 -14384 , 16976, 16974, 16642, 16644, 16950, 16949, 16639, 16641 -14385 , 16676, 16675, 16644, 16646, 16981, 16979, 16976, 16978 -14386 , 16978, 16976, 16644, 16646, 16951, 16950, 16641, 16643 -14387 , 16677, 16676, 16646, 16648, 16983, 16981, 16978, 16980 -14388 , 16980, 16978, 16646, 16648, 16952, 16951, 16643, 16645 -14389 , 16678, 16677, 16648, 16650, 16984, 16983, 16980, 16982 -14390 , 16982, 16980, 16648, 16650, 16953, 16952, 16645, 16647 -14391 , 16679, 16678, 16650, 16652, 16985, 16984, 16982, 16956 -14392 , 16680, 16679, 16652, 16653, 16987, 16985, 16956, 16957 -14393 , 16681, 16680, 16653, 16655, 16989, 16987, 16957, 16986 -14394 , 16682, 16681, 16655, 16657, 16991, 16989, 16986, 16988 -14395 , 16988, 16986, 16655, 16657, 16959, 16958, 16623, 16654 -14396 , 16684, 16682, 16657, 16658, 16992, 16991, 16988, 16990 -14397 , 16990, 16988, 16657, 16658, 16960, 16959, 16654, 16656 -14398 , 16686, 16684, 16658, 16683, 17018, 16992, 16990, 16993 -14399 , 16990, 16960, 16656, 16658, 16993, 16961, 16659, 16683 -14400 , 16685, 16683, 9124, 9125, 16994, 16993, 10047, 10048 -14401 , 16688, 16685, 9125, 8997, 16995, 16994, 10048, 10049 -14402 , 9001, 8997, 9131, 9003, 16689, 16688, 16714, 16717 -14403 , 16714, 16688, 8997, 9131, 17023, 16995, 10049, 10050 -14404 , 9000, 9004, 9005, 9132, 16691, 16690, 16721, 16722 -14405 , 9000, 9133, 9129, 9126, 16691, 16996, 16997, 16692 -14406 , 9133, 9000, 9132, 9134, 16996, 16691, 16722, 17025 -14407 , 16696, 16695, 16693, 16667, 17002, 17000, 16998, 16999 -14408 , 16999, 16998, 16693, 16667, 16964, 16963, 16664, 16665 -14409 , 16695, 16694, 16692, 16693, 17000, 17026, 16997, 16998 -14410 , 16693, 16692, 16663, 16664, 16998, 16997, 16962, 16963 -14411 , 13368, 15884, 15890, 13395, 13751, 15970, 15973, 13775 -14412 , 16697, 16696, 16667, 16668, 17003, 17002, 16999, 17001 -14413 , 17001, 16999, 16667, 16668, 16965, 16964, 16665, 16666 -14414 , 16698, 16697, 16668, 16669, 17004, 17003, 17001, 16968 -14415 , 16699, 16698, 16669, 16670, 17005, 17004, 16968, 16970 -14416 , 16700, 16699, 16670, 16671, 17006, 17005, 16970, 16972 -14417 , 16701, 16700, 16671, 16672, 17007, 17006, 16972, 16973 -14418 , 16702, 16701, 16672, 16673, 17008, 17007, 16973, 16975 -14419 , 16703, 16702, 16673, 16674, 17009, 17008, 16975, 16977 -14420 , 16704, 16703, 16674, 16675, 17010, 17009, 16977, 16979 -14421 , 16705, 16704, 16675, 16676, 17011, 17010, 16979, 16981 -14422 , 16706, 16705, 16676, 16677, 17012, 17011, 16981, 16983 -14423 , 16707, 16706, 16677, 16678, 17013, 17012, 16983, 16984 -14424 , 16708, 16707, 16678, 16679, 17014, 17013, 16984, 16985 -14425 , 16709, 16708, 16679, 16680, 17015, 17014, 16985, 16987 -14426 , 16710, 16709, 16680, 16681, 17016, 17015, 16987, 16989 -14427 , 16711, 16710, 16681, 16682, 17017, 17016, 16989, 16991 -14428 , 16712, 16711, 16682, 16684, 17019, 17017, 16991, 16992 -14429 , 16713, 16712, 16684, 16686, 17021, 17019, 16992, 17018 -14430 , 16715, 16713, 16686, 16687, 17022, 17021, 17018, 17020 -14431 , 17020, 17018, 16686, 16687, 16994, 16993, 16683, 16685 -14432 , 16716, 16715, 16687, 16714, 17047, 17022, 17020, 17023 -14433 , 17020, 16994, 16685, 16687, 17023, 16995, 16688, 16714 -14434 , 16717, 16714, 9131, 9003, 17024, 17023, 10050, 10051 -14435 , 13395, 15890, 15893, 13419, 13775, 15973, 15978, 13794 -14436 , 9006, 9003, 9135, 9136, 16718, 16717, 16745, 16747 -14437 , 16745, 16717, 9003, 9135, 17050, 17024, 10051, 10052 -14438 , 9007, 9006, 9136, 9008, 16719, 16718, 16747, 16750 -14439 , 9005, 9009, 9010, 9137, 16721, 16720, 16751, 16752 -14440 , 9132, 9005, 9137, 9138, 16722, 16721, 16752, 16723 -14441 , 9134, 9132, 9138, 9139, 17025, 16722, 16723, 17052 -14442 , 16725, 16724, 16694, 16695, 17028, 17027, 17026, 17000 -14443 , 16724, 16723, 16722, 16694, 17027, 17052, 17025, 17026 -14444 , 16694, 16722, 16691, 16692, 17026, 17025, 16996, 16997 -14445 , 16726, 16725, 16695, 16696, 17029, 17028, 17000, 17002 -14446 , 16727, 16726, 16696, 16697, 17030, 17029, 17002, 17003 -14447 , 16728, 16727, 16697, 16698, 17031, 17030, 17003, 17004 -14448 , 16729, 16728, 16698, 16699, 17032, 17031, 17004, 17005 -14449 , 16730, 16729, 16699, 16700, 17033, 17032, 17005, 17006 -14450 , 16731, 16730, 16700, 16701, 17034, 17033, 17006, 17007 -14451 , 16732, 16731, 16701, 16702, 17035, 17034, 17007, 17008 -14452 , 16733, 16732, 16702, 16703, 17036, 17035, 17008, 17009 -14453 , 16734, 16733, 16703, 16704, 17037, 17036, 17009, 17010 -14454 , 16735, 16734, 16704, 16705, 17038, 17037, 17010, 17011 -14455 , 16736, 16735, 16705, 16706, 17039, 17038, 17011, 17012 -14456 , 16737, 16736, 16706, 16707, 17040, 17039, 17012, 17013 -14457 , 16738, 16737, 16707, 16708, 17041, 17040, 17013, 17014 -14458 , 13419, 15893, 15976, 13793, 13794, 15978, 15981, 13813 -14459 , 16739, 16738, 16708, 16709, 17042, 17041, 17014, 17015 -14460 , 16740, 16739, 16709, 16710, 17043, 17042, 17015, 17016 -14461 , 16741, 16740, 16710, 16711, 17044, 17043, 17016, 17017 -14462 , 16742, 16741, 16711, 16712, 17045, 17044, 17017, 17019 -14463 , 16743, 16742, 16712, 16713, 17046, 17045, 17019, 17021 -14464 , 16744, 16743, 16713, 16715, 17048, 17046, 17021, 17022 -14465 , 16746, 16744, 16715, 16716, 17049, 17048, 17022, 17047 -14466 , 16748, 16746, 16716, 16745, 17074, 17049, 17047, 17050 -14467 , 17047, 17023, 16714, 16716, 17050, 17024, 16717, 16745 -14468 , 16747, 16745, 9135, 9136, 17051, 17050, 10052, 10053 -14469 , 9008, 9136, 9140, 9012, 16750, 16747, 16749, 16779 -14470 , 16749, 16747, 9136, 9140, 17077, 17051, 10053, 9144 -14471 , 9137, 9010, 9014, 9141, 16752, 16751, 16781, 16753 -14472 , 9138, 9137, 9141, 9142, 16723, 16752, 16753, 16754 -14473 , 9139, 9138, 9142, 9143, 17052, 16723, 16754, 17081 -14474 , 16756, 16755, 16724, 16725, 17054, 17053, 17027, 17028 -14475 , 16724, 17027, 17053, 16755, 16723, 17052, 17081, 16754 -14476 , 16757, 16756, 16725, 16726, 17055, 17054, 17028, 17029 -14477 , 16758, 16757, 16726, 16727, 17056, 17055, 17029, 17030 -14478 , 16759, 16758, 16727, 16728, 17057, 17056, 17030, 17031 -14479 , 16760, 16759, 16728, 16729, 17058, 17057, 17031, 17032 -14480 , 16761, 16760, 16729, 16730, 17059, 17058, 17032, 17033 -14481 , 15981, 15976, 13793, 13813, 16069, 15982, 13814, 14243 -14482 , 15976, 15895, 13420, 13793, 15982, 15900, 13464, 13814 -14483 , 16762, 16761, 16730, 16731, 17060, 17059, 17033, 17034 -14484 , 16763, 16762, 16731, 16732, 17061, 17060, 17034, 17035 -14485 , 16764, 16763, 16732, 16733, 17062, 17061, 17035, 17036 -14486 , 16765, 16764, 16733, 16734, 17063, 17062, 17036, 17037 -14487 , 16766, 16765, 16734, 16735, 17064, 17063, 17037, 17038 -14488 , 16767, 16766, 16735, 16736, 17065, 17064, 17038, 17039 -14489 , 16768, 16767, 16736, 16737, 17066, 17065, 17039, 17040 -14490 , 16769, 16768, 16737, 16738, 17067, 17066, 17040, 17041 -14491 , 16770, 16769, 16738, 16739, 17068, 17067, 17041, 17042 -14492 , 16771, 16770, 16739, 16740, 17069, 17068, 17042, 17043 -14493 , 16772, 16771, 16740, 16741, 17070, 17069, 17043, 17044 -14494 , 16773, 16772, 16741, 16742, 17071, 17070, 17044, 17045 -14495 , 16774, 16773, 16742, 16743, 17072, 17071, 17045, 17046 -14496 , 16775, 16774, 16743, 16744, 17073, 17072, 17046, 17048 -14497 , 16776, 16775, 16744, 16746, 17075, 17073, 17048, 17049 -14498 , 16777, 16776, 16746, 16748, 17076, 17075, 17049, 17074 -14499 , 16778, 16777, 16748, 16749, 17104, 17076, 17074, 17077 -14500 , 17074, 17050, 16745, 16748, 17077, 17051, 16747, 16749 -14501 , 9140, 9144, 9145, 9012, 16749, 17077, 17078, 16779 -14502 , 9012, 9145, 9146, 9015, 16779, 17078, 17079, 16780 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17063 -14519 , 16793, 16792, 16765, 16766, 17093, 17092, 17063, 17064 -14520 , 16794, 16793, 16766, 16767, 17094, 17093, 17064, 17065 -14521 , 16795, 16794, 16767, 16768, 17095, 17094, 17065, 17066 -14522 , 16796, 16795, 16768, 16769, 17096, 17095, 17066, 17067 -14523 , 16797, 16796, 16769, 16770, 17097, 17096, 17067, 17068 -14524 , 16798, 16797, 16770, 16771, 17098, 17097, 17068, 17069 -14525 , 16799, 16798, 16771, 16772, 17099, 17098, 17069, 17070 -14526 , 7576, 8735, 8738, 7580, 13855, 15987, 16076, 14256 -14527 , 16800, 16799, 16772, 16773, 17100, 17099, 17070, 17071 -14528 , 16801, 16800, 16773, 16774, 17101, 17100, 17071, 17072 -14529 , 16802, 16801, 16774, 16775, 17102, 17101, 17072, 17073 -14530 , 16803, 16802, 16775, 16776, 17103, 17102, 17073, 17075 -14531 , 16804, 16803, 16776, 16777, 17105, 17103, 17075, 17076 -14532 , 16806, 16804, 16777, 16778, 17107, 17105, 17076, 17104 -14533 , 16807, 16806, 16778, 16805, 17108, 17107, 17104, 17106 -14534 , 17106, 17104, 16778, 16805, 17078, 17077, 16749, 16779 -14535 , 16827, 16807, 16805, 16808, 17133, 17108, 17106, 17109 -14536 , 16808, 16805, 16779, 16780, 17109, 17106, 17078, 17079 -14537 , 9016, 9147, 9151, 9018, 16808, 17109, 17133, 16827 -14538 , 9017, 9152, 9150, 9148, 16809, 17110, 17111, 16782 -14539 , 9152, 9017, 9019, 9153, 17110, 16809, 16829, 17134 -14540 , 16812, 16811, 16783, 16784, 17114, 17113, 17112, 17082 -14541 , 16811, 16810, 16782, 16783, 17113, 17135, 17111, 17112 -14542 , 16754, 17081, 17112, 16783, 16753, 17080, 17111, 16782 -14543 , 16813, 16812, 16784, 16785, 17115, 17114, 17082, 17083 -14544 , 16814, 16813, 16785, 16786, 17116, 17115, 17083, 17084 -14545 , 16815, 16814, 16786, 16787, 17117, 17116, 17084, 17085 -14546 , 16816, 16815, 16787, 16788, 17118, 17117, 17085, 17086 -14547 , 16817, 16816, 16788, 16789, 17119, 17118, 17086, 17087 -14548 , 10821, 16817, 16789, 16790, 17120, 17119, 17087, 17088 -14549 , 10281, 10821, 16790, 16791, 17121, 17120, 17088, 17089 -14550 , 16791, 10281, 10282, 10819, 10785, 10277, 10280, 10788 -14551 , 10282, 10281, 16791, 10819, 17122, 17121, 17089, 17090 -14552 , 7584, 8741, 8732, 7440, 13879, 15991, 15993, 13895 -14553 , 8741, 7584, 7585, 8744, 15991, 13879, 14296, 16086 -14554 , 10286, 10282, 10819, 10820, 10319, 17122, 17090, 17091 -14555 , 10290, 10286, 10820, 16792, 10323, 10319, 17091, 17092 -14556 , 10820, 10286, 10290, 16792, 10791, 10285, 10289, 10794 -14557 , 10322, 10290, 16792, 16793, 10325, 10323, 17092, 17093 -14558 , 10822, 10322, 16793, 16794, 10370, 10325, 17093, 17094 -14559 , 10823, 10822, 16794, 16795, 10371, 10370, 17094, 17095 -14560 , 10826, 10823, 16795, 16796, 10833, 10371, 17095, 17096 -14561 , 10832, 10826, 16796, 16797, 17123, 10833, 17096, 17097 -14562 , 16818, 10832, 16797, 16798, 17124, 17123, 17097, 17098 -14563 , 16819, 16818, 16798, 16799, 17125, 17124, 17098, 17099 -14564 , 16820, 16819, 16799, 16800, 17126, 17125, 17099, 17100 -14565 , 16821, 16820, 16800, 16801, 17127, 17126, 17100, 17101 -14566 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17150, 17149, 17128, 17129 -14598 , 16843, 16842, 16823, 16824, 17151, 17150, 17129, 17130 -14599 , 16844, 16843, 16824, 16825, 17152, 17151, 17130, 17131 -14600 , 16845, 16844, 16825, 16826, 17153, 17152, 17131, 17132 -14601 , 17153, 17132, 16826, 16845, 17172, 17154, 16846, 16866 -14602 , 9024, 9021, 9157, 9025, 16847, 16846, 16866, 16869 -14603 , 9021, 9154, 9158, 9157, 16846, 17154, 17172, 16866 -14604 , 9155, 9023, 9026, 9028, 16849, 16848, 16870, 16850 -14605 , 9156, 9155, 9028, 9159, 17155, 16849, 16850, 17173 -14606 , 16852, 16851, 16830, 16831, 17157, 17156, 17136, 17137 -14607 , 16851, 16850, 16849, 16830, 17156, 17173, 17155, 17136 -14608 , 16853, 16852, 16831, 16832, 17158, 17157, 17137, 17138 -14609 , 16854, 16853, 16832, 16833, 17159, 17158, 17138, 17139 -14610 , 16855, 16854, 16833, 16834, 17160, 17159, 17139, 17140 -14611 , 16856, 16855, 16834, 16835, 17161, 17160, 17140, 17141 -14612 , 16857, 16856, 16835, 16836, 17162, 17161, 17141, 17142 -14613 , 10304, 16857, 16836, 10828, 17163, 17162, 17142, 17143 -14614 , 10295, 10304, 10828, 10294, 10343, 17163, 17143, 17144 -14615 , 13526, 15913, 15916, 13547, 13926, 16003, 16006, 13936 -14616 , 16858, 10831, 10829, 16837, 10841, 10835, 10834, 17145 -14617 , 16859, 16858, 16837, 16838, 17164, 10841, 17145, 17146 -14618 , 16860, 16859, 16838, 16839, 17165, 17164, 17146, 17147 -14619 , 16861, 16860, 16839, 16840, 17166, 17165, 17147, 17148 -14620 , 16862, 16861, 16840, 16841, 17167, 17166, 17148, 17149 -14621 , 16863, 16862, 16841, 16842, 17168, 17167, 17149, 17150 -14622 , 16864, 16863, 16842, 16843, 17169, 17168, 17150, 17151 -14623 , 16865, 16864, 16843, 16844, 17170, 17169, 17151, 17152 -14624 , 16867, 16865, 16844, 16845, 17171, 17170, 17152, 17153 -14625 , 17171, 17153, 16845, 16867, 17188, 17172, 16866, 16868 -14626 , 9025, 9157, 9160, 9027, 16869, 16866, 16868, 16888 -14627 , 9157, 9158, 9161, 9160, 16866, 17172, 17188, 16868 -14628 , 13547, 15916, 15919, 13559, 13936, 16006, 16009, 13946 -14629 , 9159, 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-15469 , 17472, 10869, 17457, 17458, 17780, 10889, 17764, 17765 -15470 , 17473, 17472, 17458, 17459, 17781, 17780, 17765, 17766 -15471 , 17474, 17473, 17459, 17460, 17782, 17781, 17766, 17767 -15472 , 17475, 17474, 17460, 17461, 17783, 17782, 17767, 17768 -15473 , 14103, 16048, 16051, 14124, 14593, 16140, 16143, 14603 -15474 , 17476, 17475, 17461, 17462, 17784, 17783, 17768, 17770 -15475 , 17477, 17476, 17462, 17463, 17786, 17784, 17770, 17771 -15476 , 17491, 17477, 17463, 17478, 17797, 17786, 17771, 17785 -15477 , 9272, 9412, 9416, 9278, 17478, 17785, 17797, 17491 -15478 , 9417, 9280, 9281, 9283, 17467, 17466, 17492, 17480 -15479 , 9415, 9280, 9417, 9418, 17787, 17466, 17467, 17774 -15480 , 9419, 9417, 9283, 9284, 17468, 17467, 17480, 17481 -15481 , 9418, 9417, 9419, 9420, 17774, 17467, 17468, 17775 -15482 , 9420, 9419, 9284, 9421, 17775, 17468, 17481, 17798 -15483 , 17483, 17482, 17469, 17470, 17789, 17788, 17776, 17777 -15484 , 17482, 17481, 17468, 17469, 17788, 17798, 17775, 17776 -15485 , 17484, 17483, 17470, 17471, 17790, 17789, 17777, 17778 -15486 , 10403, 17484, 17471, 10394, 17791, 17790, 17778, 17779 -15487 , 10395, 10403, 10394, 10385, 10423, 17791, 17779, 10415 -15488 , 14124, 16051, 16054, 14146, 14603, 16143, 16146, 14615 -15489 , 17485, 10859, 10869, 17472, 17792, 10881, 10889, 17780 -15490 , 17486, 17485, 17472, 17473, 17793, 17792, 17780, 17781 -15491 , 17487, 17486, 17473, 17474, 17794, 17793, 17781, 17782 -15492 , 17488, 17487, 17474, 17475, 17795, 17794, 17782, 17783 -15493 , 17489, 17488, 17475, 17476, 17796, 17795, 17783, 17784 -15494 , 17490, 17489, 17476, 17477, 17808, 17796, 17784, 17786 -15495 , 9278, 9422, 9423, 9282, 17491, 17477, 17490, 17502 -15496 , 9424, 9422, 9278, 9416, 17786, 17477, 17491, 17797 -15497 , 9422, 9424, 9425, 9423, 17477, 17786, 17808, 17490 -15498 , 9426, 9284, 9285, 9287, 17482, 17481, 17503, 17493 -15499 , 9421, 9284, 9426, 9427, 17798, 17481, 17482, 17788 -15500 , 9427, 9426, 9287, 9428, 17788, 17482, 17493, 17809 -15501 , 17495, 17494, 17483, 17484, 17800, 17799, 17789, 17790 -15502 , 17494, 17493, 17482, 17483, 17799, 17809, 17788, 17789 -15503 , 17484, 17495, 10404, 10403, 10356, 10402, 10366, 10357 -15504 , 10404, 17495, 17484, 10403, 17801, 17800, 17790, 17791 -15505 , 10405, 10404, 10403, 10395, 17802, 17801, 17791, 10423 -15506 , 14146, 16054, 16057, 14167, 14615, 16146, 16149, 14627 -15507 , 17496, 10880, 10859, 17485, 17803, 10890, 10881, 17792 -15508 , 17497, 17496, 17485, 17486, 17804, 17803, 17792, 17793 -15509 , 17498, 17497, 17486, 17487, 17805, 17804, 17793, 17794 -15510 , 17499, 17498, 17487, 17488, 17806, 17805, 17794, 17795 -15511 , 17500, 17499, 17488, 17489, 17807, 17806, 17795, 17796 -15512 , 17501, 17500, 17489, 17490, 17830, 17807, 17796, 17808 -15513 , 9282, 9423, 9429, 9286, 17502, 17490, 17501, 17519 -15514 , 9423, 9425, 9430, 9429, 17490, 17808, 17830, 17501 -15515 , 9428, 9287, 9288, 9431, 17809, 17493, 17494, 17799 -15516 , 9431, 9288, 9291, 9432, 17799, 17494, 17522, 17831 -15517 , 17811, 17810, 17495, 10404, 17813, 17812, 17800, 17801 -15518 , 17495, 17810, 17811, 10404, 10402, 17505, 17227, 10366 -15519 , 17495, 17800, 17812, 17810, 17494, 17799, 17831, 17522 -15520 , 10402, 17495, 17810, 17505, 17204, 17494, 17522, 17504 -15521 , 17506, 17811, 10404, 10405, 17814, 17813, 17801, 17802 -15522 , 14167, 16057, 16060, 14189, 14627, 16149, 16152, 14649 -15523 , 17507, 17506, 10405, 10406, 17815, 17814, 17802, 10872 -15524 , 10651, 17507, 10406, 10649, 17816, 17815, 10872, 10873 -15525 , 10653, 10651, 10649, 10643, 17817, 17816, 10873, 10874 -15526 , 10663, 10653, 10643, 10645, 17818, 17817, 10874, 10875 -15527 , 17508, 10663, 10645, 10646, 17819, 17818, 10875, 10876 -15528 , 10645, 10663, 17508, 10646, 10642, 10662, 10664, 10644 -15529 , 17509, 17508, 10646, 10854, 17820, 17819, 10876, 10877 -15530 , 17510, 17509, 10854, 10855, 17821, 17820, 10877, 10878 -15531 , 17511, 17510, 10855, 10857, 17822, 17821, 10878, 10879 -15532 , 17512, 17511, 10857, 10861, 17823, 17822, 10879, 10882 -15533 , 17513, 17512, 10861, 10880, 17824, 17823, 10882, 10890 -15534 , 17514, 17513, 10880, 17496, 17825, 17824, 10890, 17803 -15535 , 7841, 8678, 8683, 7877, 14639, 15658, 15661, 14776 -15536 , 17515, 17514, 17496, 17497, 17826, 17825, 17803, 17804 -15537 , 17516, 17515, 17497, 17498, 17827, 17826, 17804, 17805 -15538 , 17517, 17516, 17498, 17499, 17828, 17827, 17805, 17806 -15539 , 17518, 17517, 17499, 17500, 17829, 17828, 17806, 17807 -15540 , 17520, 17518, 17500, 17501, 17850, 17829, 17807, 17830 -15541 , 9286, 9429, 9302, 9292, 17519, 17501, 17520, 17536 -15542 , 9429, 9430, 9433, 9302, 17501, 17830, 17850, 17520 -15543 , 9432, 9291, 9295, 9434, 17831, 17522, 17537, 17853 -15544 , 17832, 17539, 17810, 17811, 17834, 17833, 17812, 17813 -15545 , 17810, 17539, 17832, 17811, 17505, 17523, 17524, 17227 -15546 , 17810, 17812, 17833, 17539, 17522, 17831, 17853, 17537 -15547 , 17504, 17522, 17810, 17505, 17521, 17537, 17539, 17523 -15548 , 14189, 16060, 16063, 14207, 14649, 16152, 16155, 14670 -15549 , 17542, 17832, 17811, 17506, 17835, 17834, 17813, 17814 -15550 , 17811, 17832, 17542, 17506, 17227, 17524, 17525, 17228 -15551 , 17506, 17814, 17815, 17507, 17542, 17835, 17836, 17543 -15552 , 17228, 17506, 17507, 10647, 17525, 17542, 17543, 17526 -15553 , 17507, 17815, 17816, 10651, 17543, 17836, 17837, 17544 -15554 , 10647, 17507, 10651, 10648, 17526, 17543, 17544, 17527 -15555 , 10651, 17816, 17817, 10653, 17544, 17837, 17838, 17545 -15556 , 10648, 10651, 10653, 10650, 17527, 17544, 17545, 17528 -15557 , 10653, 17817, 17818, 10663, 17545, 17838, 17839, 17546 -15558 , 10650, 10653, 10663, 10662, 17528, 17545, 17546, 12233 -15559 , 10663, 17818, 17819, 17508, 17546, 17839, 17840, 17529 -15560 , 17530, 17529, 17508, 17509, 17841, 17840, 17819, 17820 -15561 , 12090, 17530, 17509, 17510, 17842, 17841, 17820, 17821 -15562 , 12092, 12090, 17510, 17511, 17843, 17842, 17821, 17822 -15563 , 12094, 12092, 17511, 17512, 17844, 17843, 17822, 17823 -15564 , 12096, 12094, 17512, 17513, 17845, 17844, 17823, 17824 -15565 , 17531, 12096, 17513, 17514, 17846, 17845, 17824, 17825 -15566 , 17532, 17531, 17514, 17515, 17847, 17846, 17825, 17826 -15567 , 17533, 17532, 17515, 17516, 17848, 17847, 17826, 17827 -15568 , 17534, 17533, 17516, 17517, 17849, 17848, 17827, 17828 -15569 , 17535, 17534, 17517, 17518, 17851, 17849, 17828, 17829 -15570 , 17547, 17535, 17518, 17520, 17858, 17851, 17829, 17850 -15571 , 9302, 9433, 9435, 9303, 17520, 17850, 17858, 17547 -15572 , 9295, 9304, 9307, 9436, 17537, 17539, 17549, 17852 -15573 , 9434, 9295, 9436, 9437, 17853, 17537, 17852, 17859 -15574 , 14207, 16063, 16066, 14224, 14670, 16155, 16158, 14677 -15575 , 17539, 17833, 17834, 17832, 17549, 17860, 17854, 17550 -15576 , 17832, 17834, 17835, 17542, 17550, 17854, 17863, 17551 -15577 , 17523, 17539, 17832, 17524, 17538, 17549, 17550, 17540 -15578 , 17524, 17832, 17542, 17525, 17540, 17550, 17551, 17541 -15579 , 9309, 9310, 9438, 9311, 17542, 17543, 17855, 17551 -15580 , 9310, 9312, 9439, 9438, 17543, 17544, 17856, 17855 -15581 , 9440, 9312, 9313, 9441, 17837, 17544, 17545, 17838 -15582 , 9312, 9440, 9442, 9439, 17544, 17837, 17865, 17856 -15583 , 9441, 9313, 9314, 9443, 17838, 17545, 17546, 17839 -15584 , 9443, 9314, 9315, 9444, 17839, 17546, 17529, 17840 -15585 , 9444, 9315, 9316, 9445, 17840, 17529, 12139, 12180 -15586 , 17530, 12098, 12091, 12090, 12037, 12038, 12040, 12039 -15587 , 12091, 12098, 17530, 12090, 12142, 12140, 17841, 17842 -15588 , 17530, 17841, 12140, 12098, 17529, 17840, 12180, 12139 -15589 , 12093, 12091, 12090, 12092, 12144, 12142, 17842, 17843 -15590 , 12095, 12093, 12092, 12094, 12146, 12144, 17843, 17844 -15591 , 12097, 12095, 12094, 12096, 12148, 12146, 17844, 17845 -15592 , 12103, 12097, 12096, 17531, 12150, 12148, 17845, 17846 -15593 , 12096, 12097, 12103, 17531, 12045, 12046, 12048, 12047 -15594 , 12106, 12103, 17531, 17532, 12152, 12150, 17846, 17847 -15595 , 12109, 12106, 17532, 17533, 12191, 12152, 17847, 17848 -15596 , 17533, 17848, 17849, 17534, 12109, 12191, 17857, 12154 -15597 , 17857, 17849, 17534, 12154, 17866, 17851, 17535, 17548 -15598 , 9303, 9446, 9321, 9317, 17547, 17535, 17548, 17552 -15599 , 9447, 9446, 9303, 9435, 17851, 17535, 17547, 17858 -15600 , 9446, 9447, 9448, 9321, 17535, 17851, 17866, 17548 -15601 , 9437, 9436, 9307, 9449, 17859, 17852, 17549, 17860 -15602 , 14224, 16066, 16071, 14244, 14677, 16158, 16161, 14687 -15603 , 9449, 9307, 9318, 9450, 17860, 17549, 17550, 17854 -15604 , 9318, 9311, 9451, 9452, 17550, 17551, 17862, 17861 -15605 , 9450, 9318, 9452, 9453, 17854, 17550, 17861, 17867 -15606 , 9454, 9311, 9438, 9455, 17863, 17551, 17855, 17864 -15607 , 9311, 9454, 9456, 9451, 17551, 17863, 17868, 17862 -15608 , 9455, 9438, 9439, 9442, 17864, 17855, 17856, 17865 -15609 , 9460, 9458, 9320, 9461, 12191, 12109, 12154, 17857 -15610 , 9461, 9320, 9321, 9448, 17857, 12154, 17548, 17866 -15611 , 9453, 9452, 9451, 9456, 17867, 17861, 17862, 17868 -15612 , 14244, 16071, 16074, 14255, 14687, 16161, 16166, 14689 -15613 , 14255, 16074, 16164, 14688, 14689, 16166, 16168, 14690 -15614 , 9343, 9342, 9344, 9478, 17554, 17553, 17569, 17570 -15615 , 9345, 9343, 9478, 9479, 17555, 17554, 17570, 17571 -15616 , 9346, 9345, 9479, 9480, 17556, 17555, 17571, 17573 -15617 , 9347, 9346, 9480, 9481, 17557, 17556, 17573, 17575 -15618 , 9348, 9347, 9481, 9482, 17558, 17557, 17575, 17577 -15619 , 9349, 9348, 9482, 9483, 17559, 17558, 17577, 17579 -15620 , 16168, 16164, 14688, 14690, 16244, 16170, 14691, 15199 -15621 , 16164, 16076, 14256, 14688, 16170, 16080, 14276, 14691 -15622 , 9350, 9349, 9483, 9355, 17560, 17559, 17579, 17582 -15623 , 9361, 9360, 9362, 9484, 17563, 17562, 17589, 17590 -15624 , 9363, 9361, 9484, 9485, 17564, 17563, 17590, 17591 -15625 , 9364, 9363, 9485, 9486, 17565, 17564, 17591, 17593 -15626 , 9365, 9364, 9486, 9487, 17566, 17565, 17593, 17595 -15627 , 9366, 9365, 9487, 9488, 17567, 17566, 17595, 17597 -15628 , 9366, 9489, 9490, 9367, 17567, 17869, 17870, 17568 -15629 , 9489, 9366, 9488, 9491, 17869, 17567, 17597, 17880 -15630 , 9367, 9490, 9492, 9344, 17568, 17870, 17871, 17569 -15631 , 9344, 9492, 9493, 9478, 17569, 17871, 17872, 17570 -15632 , 9478, 9493, 9494, 9479, 17570, 17872, 17873, 17571 -15633 , 9479, 9494, 9495, 9480, 17571, 17873, 17874, 17573 -15634 , 9480, 9495, 9496, 9481, 17573, 17874, 17875, 17575 -15635 , 17577, 17575, 9481, 9482, 17896, 17875, 9496, 9613 -15636 , 17579, 17577, 9482, 9483, 17899, 17896, 9613, 9615 -15637 , 17582, 17579, 9483, 9355, 17901, 17899, 9615, 9617 -15638 , 17583, 17582, 9355, 9368, 18162, 17901, 9617, 9619 -15639 , 9369, 9368, 9497, 9498, 17584, 17583, 17611, 17613 -15640 , 17611, 17583, 9368, 9497, 17902, 18162, 9619, 9620 -15641 , 9370, 9369, 9498, 9375, 17586, 17584, 17613, 17616 -15642 , 7719, 8750, 8759, 7944, 14691, 16170, 16244, 15199 -15643 , 9378, 9377, 9379, 9499, 17588, 17587, 17620, 17621 -15644 , 9362, 9378, 9499, 9500, 17589, 17588, 17621, 17622 -15645 , 9484, 9362, 9500, 9501, 17590, 17589, 17622, 17592 -15646 , 9484, 9502, 9503, 9485, 17590, 17876, 17877, 17591 -15647 , 9502, 9484, 9501, 9504, 17876, 17590, 17592, 17904 -15648 , 9485, 9503, 9505, 9486, 17591, 17877, 17878, 17593 -15649 , 9486, 9505, 9506, 9487, 17593, 17878, 17879, 17595 -15650 , 9487, 9506, 9491, 9488, 17595, 17879, 17880, 17597 -15651 , 17603, 17602, 17599, 17601, 17885, 17883, 17881, 17882 -15652 , 17601, 17599, 17568, 17569, 17882, 17881, 17870, 17871 -15653 , 17602, 17600, 17597, 17599, 17883, 17910, 17880, 17881 -15654 , 17599, 17597, 17567, 17568, 17881, 17880, 17869, 17870 -15655 , 17604, 17603, 17601, 17572, 17887, 17885, 17882, 17884 -15656 , 17572, 17601, 17569, 17570, 17884, 17882, 17871, 17872 -15657 , 17605, 17604, 17572, 17574, 17889, 17887, 17884, 17886 -15658 , 17574, 17572, 17570, 17571, 17886, 17884, 17872, 17873 -15659 , 17606, 17605, 17574, 17576, 17891, 17889, 17886, 17888 -15660 , 17576, 17574, 17571, 17573, 17888, 17886, 17873, 17874 -15661 , 17607, 17606, 17576, 17578, 17893, 17891, 17888, 17890 -15662 , 17578, 17576, 17573, 17575, 17890, 17888, 17874, 17875 -15663 , 17608, 17607, 17578, 17580, 17895, 17893, 17890, 17892 -15664 , 17580, 17578, 17575, 17577, 17892, 17890, 17875, 17896 -15665 , 17610, 17608, 17580, 17581, 17898, 17895, 17892, 17894 -15666 , 17581, 17580, 17577, 17579, 17894, 17892, 17896, 17899 -15667 , 17612, 17610, 17581, 17609, 17900, 17898, 17894, 17897 -15668 , 17609, 17581, 17579, 17582, 17897, 17894, 17899, 17901 -15669 , 17614, 17612, 17609, 17611, 17921, 17900, 17897, 17902 -15670 , 17611, 17609, 17582, 17583, 17902, 17897, 17901, 18162 -15671 , 17613, 17611, 9497, 9498, 18171, 17902, 9620, 9637 -15672 , 9375, 9498, 9507, 9508, 17616, 17613, 17615, 17640 -15673 , 17615, 17613, 9498, 9507, 17924, 18171, 9637, 9639 -15674 , 9380, 9375, 9508, 9384, 17618, 17616, 17640, 17643 -15675 , 8756, 7725, 7956, 9509, 16174, 14726, 14748, 16178 -15676 , 9379, 9385, 9386, 9510, 17620, 17619, 17646, 17647 -15677 , 9499, 9379, 9510, 9511, 17621, 17620, 17647, 17623 -15678 , 9500, 9499, 9511, 9512, 17622, 17621, 17623, 17624 -15679 , 9500, 9513, 9504, 9501, 17622, 17903, 17904, 17592 -15680 , 9513, 9500, 9512, 9514, 17903, 17622, 17624, 17925 -15681 , 17627, 17626, 17594, 17596, 17909, 17907, 17905, 17906 -15682 , 17596, 17594, 17591, 17593, 17906, 17905, 17877, 17878 -15683 , 17626, 17625, 17592, 17594, 17907, 17926, 17904, 17905 -15684 , 17594, 17592, 17590, 17591, 17905, 17904, 17876, 17877 -15685 , 17628, 17627, 17596, 17598, 17911, 17909, 17906, 17908 -15686 , 17598, 17596, 17593, 17595, 17908, 17906, 17878, 17879 -15687 , 17629, 17628, 17598, 17600, 17912, 17911, 17908, 17910 -15688 , 17600, 17598, 17595, 17597, 17910, 17908, 17879, 17880 -15689 , 17630, 17629, 17600, 17602, 17913, 17912, 17910, 17883 -15690 , 8756, 9509, 9515, 8762, 16174, 16178, 16179, 16250 -15691 , 17631, 17630, 17602, 17603, 17914, 17913, 17883, 17885 -15692 , 17632, 17631, 17603, 17604, 17915, 17914, 17885, 17887 -15693 , 17633, 17632, 17604, 17605, 17916, 17915, 17887, 17889 -15694 , 17634, 17633, 17605, 17606, 17917, 17916, 17889, 17891 -15695 , 17635, 17634, 17606, 17607, 17918, 17917, 17891, 17893 -15696 , 17636, 17635, 17607, 17608, 17919, 17918, 17893, 17895 -15697 , 17637, 17636, 17608, 17610, 17920, 17919, 17895, 17898 -15698 , 17638, 17637, 17610, 17612, 17922, 17920, 17898, 17900 -15699 , 17639, 17638, 17612, 17614, 17923, 17922, 17900, 17921 -15700 , 17641, 17639, 17614, 17615, 17941, 17923, 17921, 17924 -15701 , 9509, 7956, 7963, 9515, 16178, 14748, 15252, 16179 -15702 , 17615, 17614, 17611, 17613, 17924, 17921, 17902, 18171 -15703 , 17640, 17615, 9507, 9508, 17946, 17924, 9639, 9651 -15704 , 17643, 17640, 9508, 9384, 18194, 17946, 9651, 9652 -15705 , 9387, 9384, 9516, 9390, 17645, 17643, 17667, 17670 -15706 , 17667, 17643, 9384, 9516, 17947, 18194, 9652, 9654 -15707 , 9510, 9386, 9392, 9517, 17647, 17646, 17672, 17648 -15708 , 9511, 9510, 9517, 9518, 17623, 17647, 17648, 17649 -15709 , 9512, 9511, 9518, 9519, 17624, 17623, 17649, 17650 -15710 , 9514, 9512, 9519, 9520, 17925, 17624, 17650, 17949 -15711 , 17652, 17651, 17625, 17626, 17928, 17927, 17926, 17907 -15712 , 17651, 17650, 17624, 17625, 17927, 17949, 17925, 17926 -15713 , 17625, 17624, 17622, 17592, 17926, 17925, 17903, 17904 -15714 , 17653, 17652, 17626, 17627, 17929, 17928, 17907, 17909 -15715 , 17654, 17653, 17627, 17628, 17930, 17929, 17909, 17911 -15716 , 17655, 17654, 17628, 17629, 17931, 17930, 17911, 17912 -15717 , 17656, 17655, 17629, 17630, 17932, 17931, 17912, 17913 -15718 , 17657, 17656, 17630, 17631, 17933, 17932, 17913, 17914 -15719 , 17658, 17657, 17631, 17632, 17934, 17933, 17914, 17915 -15720 , 17659, 17658, 17632, 17633, 17935, 17934, 17915, 17916 -15721 , 17660, 17659, 17633, 17634, 17936, 17935, 17916, 17917 -15722 , 17661, 17660, 17634, 17635, 17937, 17936, 17917, 17918 -15723 , 17662, 17661, 17635, 17636, 17938, 17937, 17918, 17919 -15724 , 17663, 17662, 17636, 17637, 17939, 17938, 17919, 17920 -15725 , 14313, 16093, 16096, 14331, 14764, 16183, 16186, 14785 -15726 , 14313, 16093, 16183, 14764, 14748, 16178, 16179, 15252 -15727 , 17664, 17663, 17637, 17638, 17940, 17939, 17920, 17922 -15728 , 17665, 17664, 17638, 17639, 17942, 17940, 17922, 17923 -15729 , 17666, 17665, 17639, 17641, 17944, 17942, 17923, 17941 -15730 , 17668, 17666, 17641, 17642, 17945, 17944, 17941, 17943 -15731 , 17943, 17941, 17641, 17642, 17946, 17924, 17615, 17640 -15732 , 17669, 17668, 17642, 17667, 17966, 17945, 17943, 17947 -15733 , 17667, 17642, 17640, 17643, 17947, 17943, 17946, 18194 -15734 , 9393, 9390, 9521, 9395, 17671, 17670, 17693, 17696 -15735 , 9390, 9522, 9523, 9521, 17670, 17948, 17969, 17693 -15736 , 9390, 9522, 17948, 17670, 9516, 9654, 17947, 17667 -15737 , 9517, 9392, 9398, 9524, 17648, 17672, 17698, 17673 -15738 , 9518, 9517, 9524, 9525, 17649, 17648, 17673, 17674 -15739 , 9519, 9518, 9525, 9526, 17650, 17649, 17674, 17675 -15740 , 9520, 9519, 9526, 9527, 17949, 17650, 17675, 17972 -15741 , 7877, 8683, 8615, 7018, 14776, 15661, 15663, 14962 -15742 , 17677, 17676, 17651, 17652, 17951, 17950, 17927, 17928 -15743 , 17676, 17675, 17650, 17651, 17950, 17972, 17949, 17927 -15744 , 17678, 17677, 17652, 17653, 17952, 17951, 17928, 17929 -15745 , 17679, 17678, 17653, 17654, 17953, 17952, 17929, 17930 -15746 , 17680, 17679, 17654, 17655, 17954, 17953, 17930, 17931 -15747 , 17681, 17680, 17655, 17656, 17955, 17954, 17931, 17932 -15748 , 17682, 17681, 17656, 17657, 17956, 17955, 17932, 17933 -15749 , 17683, 17682, 17657, 17658, 17957, 17956, 17933, 17934 -15750 , 17684, 17683, 17658, 17659, 17958, 17957, 17934, 17935 -15751 , 14331, 16096, 16099, 14345, 14785, 16186, 16189, 14804 -15752 , 17685, 17684, 17659, 17660, 17959, 17958, 17935, 17936 -15753 , 17686, 17685, 17660, 17661, 17960, 17959, 17936, 17937 -15754 , 17687, 17686, 17661, 17662, 17961, 17960, 17937, 17938 -15755 , 17688, 17687, 17662, 17663, 17962, 17961, 17938, 17939 -15756 , 17689, 17688, 17663, 17664, 17963, 17962, 17939, 17940 -15757 , 17690, 17689, 17664, 17665, 17964, 17963, 17940, 17942 -15758 , 17691, 17690, 17665, 17666, 17965, 17964, 17942, 17944 -15759 , 17692, 17691, 17666, 17668, 17967, 17965, 17944, 17945 -15760 , 17694, 17692, 17668, 17669, 17968, 17967, 17945, 17966 -15761 , 17695, 17694, 17669, 17693, 17990, 17968, 17966, 17969 -15762 , 17693, 17669, 17667, 17670, 17969, 17966, 17947, 17948 -15763 , 9521, 9523, 9528, 9395, 17693, 17969, 17970, 17696 -15764 , 9399, 9395, 9529, 9400, 17697, 17696, 17720, 17723 -15765 , 9395, 9528, 9530, 9529, 17696, 17970, 17993, 17720 -15766 , 9524, 9398, 9403, 9531, 17673, 17698, 17724, 17699 -15767 , 9525, 9524, 9531, 9532, 17674, 17673, 17699, 17700 -15768 , 9525, 9533, 9527, 9526, 17674, 17971, 17972, 17675 -15769 , 9533, 9525, 9532, 9534, 17971, 17674, 17700, 17994 -15770 , 17703, 17702, 17676, 17677, 17974, 17973, 17950, 17951 -15771 , 17702, 17701, 17675, 17676, 17973, 17995, 17972, 17950 -15772 , 17704, 17703, 17677, 17678, 17975, 17974, 17951, 17952 -15773 , 17705, 17704, 17678, 17679, 17976, 17975, 17952, 17953 -15774 , 14345, 16099, 16102, 14352, 14804, 16189, 16192, 14823 -15775 , 17706, 17705, 17679, 17680, 17977, 17976, 17953, 17954 -15776 , 17707, 17706, 17680, 17681, 17978, 17977, 17954, 17955 -15777 , 17708, 17707, 17681, 17682, 17979, 17978, 17955, 17956 -15778 , 17709, 17708, 17682, 17683, 17980, 17979, 17956, 17957 -15779 , 17710, 17709, 17683, 17684, 17981, 17980, 17957, 17958 -15780 , 17711, 17710, 17684, 17685, 17982, 17981, 17958, 17959 -15781 , 17712, 17711, 17685, 17686, 17983, 17982, 17959, 17960 -15782 , 17713, 17712, 17686, 17687, 17984, 17983, 17960, 17961 -15783 , 17714, 17713, 17687, 17688, 17985, 17984, 17961, 17962 -15784 , 17715, 17714, 17688, 17689, 17986, 17985, 17962, 17963 -15785 , 17716, 17715, 17689, 17690, 17987, 17986, 17963, 17964 -15786 , 17717, 17716, 17690, 17691, 17988, 17987, 17964, 17965 -15787 , 17718, 17717, 17691, 17692, 17989, 17988, 17965, 17967 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17976 -15804 , 17732, 17731, 17705, 17706, 18001, 18000, 17976, 17977 -15805 , 17733, 17732, 17706, 17707, 18002, 18001, 17977, 17978 -15806 , 17734, 17733, 17707, 17708, 18003, 18002, 17978, 17979 -15807 , 17735, 17734, 17708, 17709, 18004, 18003, 17979, 17980 -15808 , 17736, 17735, 17709, 17710, 18005, 18004, 17980, 17981 -15809 , 17737, 17736, 17710, 17711, 18006, 18005, 17981, 17982 -15810 , 17738, 17737, 17711, 17712, 18007, 18006, 17982, 17983 -15811 , 17739, 17738, 17712, 17713, 18008, 18007, 17983, 17984 -15812 , 17740, 17739, 17713, 17714, 18009, 18008, 17984, 17985 -15813 , 17741, 17740, 17714, 17715, 18010, 18009, 17985, 17986 -15814 , 17742, 17741, 17715, 17716, 18011, 18010, 17986, 17987 -15815 , 17743, 17742, 17716, 17717, 18012, 18011, 17987, 17988 -15816 , 17744, 17743, 17717, 17718, 18013, 18012, 17988, 17989 -15817 , 17745, 17744, 17718, 17719, 18014, 18013, 17989, 17991 -15818 , 17746, 17745, 17719, 17721, 18015, 18014, 17991, 17992 -15819 , 16105, 16108, 14354, 14353, 16195, 10980, 10909, 14845 -15820 , 17747, 17746, 17721, 17722, 18038, 18015, 17992, 18016 -15821 , 9535, 9536, 9540, 9405, 17722, 18016, 18017, 17748 -15822 , 9409, 9405, 9541, 9410, 17749, 17748, 17769, 17772 -15823 , 9405, 9540, 9542, 9541, 17748, 18017, 18040, 17769 -15824 , 9537, 9408, 9411, 9414, 17725, 17750, 17773, 17751 -15825 , 9538, 9537, 9414, 9543, 17726, 17725, 17751, 17752 -15826 , 9539, 9538, 9543, 9544, 18018, 17726, 17752, 18042 -15827 , 17754, 17753, 17727, 17728, 18020, 18019, 17996, 17997 -15828 , 17753, 17752, 17726, 17727, 18019, 18042, 18018, 17996 -15829 , 17755, 17754, 17728, 17729, 18021, 18020, 17997, 17998 -15830 , 17756, 17755, 17729, 17730, 18022, 18021, 17998, 17999 -15831 , 17757, 17756, 17730, 17731, 18023, 18022, 17999, 18000 -15832 , 17758, 17757, 17731, 17732, 18024, 18023, 18000, 18001 -15833 , 10407, 17758, 17732, 17733, 18025, 18024, 18001, 18002 -15834 , 10409, 10407, 17733, 17734, 18026, 18025, 18002, 18003 -15835 , 10411, 10409, 17734, 17735, 18027, 18026, 18003, 18004 -15836 , 10413, 10411, 17735, 17736, 18028, 18027, 18004, 18005 -15837 , 17759, 10413, 17736, 17737, 18029, 18028, 18005, 18006 -15838 , 17760, 17759, 17737, 17738, 18030, 18029, 18006, 18007 -15839 , 17761, 17760, 17738, 17739, 18031, 18030, 18007, 18008 -15840 , 17762, 17761, 17739, 17740, 18032, 18031, 18008, 18009 -15841 , 16108, 10974, 10897, 14354, 10980, 10975, 10898, 10909 -15842 , 17763, 17762, 17740, 17741, 18033, 18032, 18009, 18010 -15843 , 17764, 17763, 17741, 17742, 18034, 18033, 18010, 18011 -15844 , 17765, 17764, 17742, 17743, 18035, 18034, 18011, 18012 -15845 , 17766, 17765, 17743, 17744, 18036, 18035, 18012, 18013 -15846 , 17767, 17766, 17744, 17745, 18037, 18036, 18013, 18014 -15847 , 17768, 17767, 17745, 17746, 18039, 18037, 18014, 18015 -15848 , 17770, 17768, 17746, 17747, 18041, 18039, 18015, 18038 -15849 , 17769, 17747, 17722, 17748, 18040, 18038, 18016, 18017 -15850 , 17771, 17770, 17747, 17769, 18063, 18041, 18038, 18040 -15851 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18043 -15883 , 9553, 9420, 9421, 9427, 17776, 17775, 17798, 17788 -15884 , 9552, 9420, 9553, 9554, 18043, 17775, 17776, 18044 -15885 , 9555, 9553, 9427, 9556, 17777, 17776, 17788, 17789 -15886 , 9554, 9553, 9555, 9557, 18044, 17776, 17777, 18045 -15887 , 9557, 9555, 9556, 9558, 18045, 17777, 17789, 18083 -15888 , 17791, 17790, 17778, 17779, 18066, 18065, 18046, 18047 -15889 , 17790, 17789, 17777, 17778, 18065, 18083, 18045, 18046 -15890 , 10423, 17791, 17779, 10415, 18067, 18066, 18047, 18048 -15891 , 10416, 10423, 10415, 10408, 18068, 18067, 18048, 18049 -15892 , 10417, 10416, 10408, 10410, 18069, 18068, 18049, 18050 -15893 , 10418, 10417, 10410, 10412, 18070, 18069, 18050, 18051 -15894 , 10421, 10418, 10412, 10414, 18071, 18070, 18051, 18052 -15895 , 10422, 10421, 10414, 10420, 18072, 18071, 18052, 18053 -15896 , 10864, 10422, 10420, 10863, 18073, 18072, 18053, 18054 -15897 , 10866, 10864, 10863, 10865, 18074, 18073, 18054, 18055 -15898 , 10868, 10866, 10865, 10867, 18075, 18074, 18055, 18056 -15899 , 10871, 10868, 10867, 10870, 18076, 18075, 18056, 18057 -15900 , 10881, 10871, 10870, 10889, 18077, 18076, 18057, 18058 -15901 , 17792, 10881, 10889, 17780, 18078, 18077, 18058, 18059 -15902 , 17793, 17792, 17780, 17781, 18079, 18078, 18059, 18060 -15903 , 17794, 17793, 17781, 17782, 18080, 18079, 18060, 18061 -15904 , 17795, 17794, 17782, 17783, 18081, 18080, 18061, 18062 -15905 , 18081, 18062, 17783, 17795, 18101, 18082, 17784, 17796 -15906 , 9424, 9549, 9559, 9425, 17786, 17784, 17796, 17808 -15907 , 9549, 9551, 9560, 9559, 17784, 18082, 18101, 17796 -15908 , 9556, 9427, 9428, 9431, 17789, 17788, 17809, 17799 -15909 , 9558, 9556, 9431, 9561, 18083, 17789, 17799, 18102 -15910 , 17801, 17800, 17790, 17791, 18085, 18084, 18065, 18066 -15911 , 17800, 17799, 17789, 17790, 18084, 18102, 18083, 18065 -15912 , 17802, 17801, 17791, 10423, 18086, 18085, 18066, 18067 -15913 , 10423, 17802, 10872, 10416, 10395, 10405, 10406, 10396 -15914 , 10872, 17802, 10423, 10416, 18087, 18086, 18067, 18068 -15915 , 10873, 10872, 10416, 10417, 18088, 18087, 18068, 18069 -15916 , 10874, 10873, 10417, 10418, 18089, 18088, 18069, 18070 -15917 , 10875, 10874, 10418, 10421, 18090, 18089, 18070, 18071 -15918 , 10876, 10875, 10421, 10422, 18091, 18090, 18071, 18072 -15919 , 10877, 10876, 10422, 10864, 18092, 18091, 18072, 18073 -15920 , 10878, 10877, 10864, 10866, 18093, 18092, 18073, 18074 -15921 , 10879, 10878, 10866, 10868, 18094, 18093, 18074, 18075 -15922 , 10882, 10879, 10868, 10871, 18095, 18094, 18075, 18076 -15923 , 10890, 10882, 10871, 10881, 18096, 18095, 18076, 18077 -15924 , 17803, 10890, 10881, 17792, 18097, 18096, 18077, 18078 -15925 , 17804, 17803, 17792, 17793, 18098, 18097, 18078, 18079 -15926 , 17805, 17804, 17793, 17794, 18099, 18098, 18079, 18080 -15927 , 17806, 17805, 17794, 17795, 18100, 18099, 18080, 18081 -15928 , 10979, 16119, 14469, 10965, 10783, 10789, 10918, 10915 -15929 , 18100, 18081, 17795, 17806, 18120, 18101, 17796, 17807 -15930 , 9425, 9559, 9562, 9430, 17808, 17796, 17807, 17830 -15931 , 9559, 9560, 9563, 9562, 17796, 18101, 18120, 17807 -15932 , 9561, 9431, 9432, 9564, 18102, 17799, 17831, 18121 -15933 , 17813, 17812, 17800, 17801, 18104, 18103, 18084, 18085 -15934 , 17812, 17831, 17799, 17800, 18103, 18121, 18102, 18084 -15935 , 17814, 17813, 17801, 17802, 18105, 18104, 18085, 18086 -15936 , 17815, 17814, 17802, 10872, 18106, 18105, 18086, 18087 -15937 , 17816, 17815, 10872, 10873, 18107, 18106, 18087, 18088 -15938 , 17817, 17816, 10873, 10874, 18108, 18107, 18088, 18089 -15939 , 17818, 17817, 10874, 10875, 18109, 18108, 18089, 18090 -15940 , 17819, 17818, 10875, 10876, 18110, 18109, 18090, 18091 -15941 , 17820, 17819, 10876, 10877, 18111, 18110, 18091, 18092 -15942 , 17821, 17820, 10877, 10878, 18112, 18111, 18092, 18093 -15943 , 17822, 17821, 10878, 10879, 18113, 18112, 18093, 18094 -15944 , 17823, 17822, 10879, 10882, 18114, 18113, 18094, 18095 -15945 , 17824, 17823, 10882, 10890, 18115, 18114, 18095, 18096 -15946 , 17825, 17824, 10890, 17803, 18116, 18115, 18096, 18097 -15947 , 17826, 17825, 17803, 17804, 18117, 18116, 18097, 18098 -15948 , 17827, 17826, 17804, 17805, 18118, 18117, 18098, 18099 -15949 , 16119, 16122, 14489, 14469, 10789, 10792, 10920, 10918 -15950 , 17828, 17827, 17805, 17806, 18119, 18118, 18099, 18100 -15951 , 17829, 17828, 17806, 17807, 18139, 18119, 18100, 18120 -15952 , 9430, 9562, 9565, 9433, 17830, 17807, 17829, 17850 -15953 , 9562, 9563, 9566, 9565, 17807, 18120, 18139, 17829 -15954 , 9564, 9432, 9434, 9567, 18121, 17831, 17853, 18140 -15955 , 17834, 17833, 17812, 17813, 18123, 18122, 18103, 18104 -15956 , 17833, 17853, 17831, 17812, 18122, 18140, 18121, 18103 -15957 , 17835, 17834, 17813, 17814, 18124, 18123, 18104, 18105 -15958 , 17836, 17835, 17814, 17815, 18125, 18124, 18105, 18106 -15959 , 17837, 17836, 17815, 17816, 18126, 18125, 18106, 18107 -15960 , 17816, 18107, 18108, 17817, 17837, 18126, 18127, 17838 -15961 , 17817, 18108, 18109, 17818, 17838, 18127, 18128, 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18553, 18552, 18542, 18543 -16618 , 18391, 18390, 18374, 18375, 18552, 18560, 18541, 18542 -16619 , 12230, 18392, 18376, 18377, 18554, 18553, 18543, 18544 -16620 , 12215, 12230, 18377, 18378, 18555, 18554, 18544, 18545 -16621 , 12217, 12215, 18378, 18379, 18556, 18555, 18545, 18546 -16622 , 12231, 12217, 18379, 18380, 18557, 18556, 18546, 18547 -16623 , 18393, 12231, 18380, 18381, 18558, 18557, 18547, 18548 -16624 , 18394, 18393, 18381, 18382, 18561, 18558, 18548, 18550 -16625 , 9857, 9865, 9736, 9737, 18383, 18382, 18394, 18396 -16626 , 9866, 9865, 9857, 9858, 18550, 18382, 18383, 18559 -16627 , 9865, 9866, 9867, 9736, 18382, 18550, 18561, 18394 -16628 , 9711, 9857, 9737, 9715, 18395, 18383, 18396, 18399 -16629 , 9859, 9717, 9718, 9738, 18387, 18386, 18400, 18398 -16630 , 9719, 9859, 9738, 9721, 18388, 18387, 18398, 18401 -16631 , 9864, 9722, 9723, 9868, 18560, 18390, 18391, 18552 -16632 , 9868, 9723, 9724, 9869, 18552, 18391, 18392, 18553 -16633 , 9869, 9724, 9727, 9870, 18553, 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9882, 9888, 9889, 18416, 18415, 18417, 18419 -16651 , 9884, 9883, 9889, 9890, 18418, 18416, 18419, 18420 -16652 , 9885, 9884, 9890, 9891, 18410, 18418, 18420, 18422 -16653 , 9886, 9885, 9891, 9892, 18421, 18410, 18422, 18424 -16654 , 9887, 9886, 9892, 9893, 18423, 18421, 18424, 18425 -16655 , 9775, 9887, 9893, 9894, 18426, 18423, 18425, 18434 -16656 , 9782, 9775, 9894, 9785, 18427, 18426, 18434, 18437 -16657 , 9888, 9781, 9791, 9895, 18417, 18428, 18440, 18429 -16658 , 9889, 9888, 9895, 9896, 18419, 18417, 18429, 18430 -16659 , 14994, 16206, 16209, 14995, 10936, 10807, 10886, 10938 -16660 , 9890, 9889, 9896, 9897, 18420, 18419, 18430, 18431 -16661 , 9891, 9890, 9897, 9898, 18422, 18420, 18431, 18432 -16662 , 9892, 9891, 9898, 9899, 18424, 18422, 18432, 18433 -16663 , 9892, 9900, 9901, 9893, 18424, 18562, 18563, 18425 -16664 , 9900, 9892, 9899, 9902, 18562, 18424, 18433, 18568 -16665 , 9893, 9901, 9903, 9894, 18425, 18563, 18564, 18434 -16666 , 9894, 9903, 9904, 9785, 18434, 18564, 18565, 18437 -16667 , 9792, 9785, 9905, 9906, 18438, 18437, 18447, 18449 -16668 , 9785, 9904, 9907, 9905, 18437, 18565, 18573, 18447 -16669 , 9793, 9792, 9906, 9795, 18439, 18438, 18449, 18452 -16670 , 9895, 9791, 9801, 9908, 18429, 18440, 18456, 18441 -16671 , 9896, 9895, 9908, 9909, 18430, 18429, 18441, 18442 -16672 , 9897, 9896, 9909, 9910, 18431, 18430, 18442, 18443 -16673 , 9897, 9911, 9912, 9898, 18431, 18566, 18567, 18432 -16674 , 9911, 9897, 9910, 9913, 18566, 18431, 18443, 18575 -16675 , 9898, 9912, 9902, 9899, 18432, 18567, 18568, 18433 -16676 , 18448, 18446, 18435, 18436, 18572, 18571, 18569, 18570 -16677 , 18436, 18435, 18425, 18434, 18570, 18569, 18563, 18564 -16678 , 18446, 18445, 18433, 18435, 18571, 18577, 18568, 18569 -16679 , 18435, 18433, 18424, 18425, 18569, 18568, 18562, 18563 -16680 , 18450, 18448, 18436, 18447, 18581, 18572, 18570, 18573 -16681 , 18447, 18436, 18434, 18437, 18573, 18570, 18564, 18565 -16682 , 9905, 9907, 9914, 9906, 18447, 18573, 18574, 18449 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18464, 18463, 18448, 18450, 18583, 18582, 18572, 18581 -16700 , 18466, 18464, 18450, 18451, 18588, 18583, 18581, 18584 -16701 , 18451, 18450, 18447, 18449, 18584, 18581, 18573, 18574 -16702 , 9916, 9915, 9924, 9925, 18465, 18451, 18466, 18467 -16703 , 9915, 9917, 9926, 9924, 18451, 18584, 18588, 18466 -16704 , 9804, 9916, 9925, 9927, 18468, 18465, 18467, 18484 -16705 , 9812, 9804, 9927, 9814, 18469, 18468, 18484, 18487 -16706 , 9918, 9811, 9817, 9824, 18471, 18470, 18488, 18473 -16707 , 9919, 9918, 9824, 9928, 18472, 18471, 18473, 18474 -16708 , 9920, 9919, 9928, 9929, 18457, 18472, 18474, 18475 -16709 , 9921, 9920, 9929, 9930, 18458, 18457, 18475, 18476 -16710 , 15001, 16212, 16215, 15026, 10962, 10993, 16273, 15452 -16711 , 9922, 9921, 9930, 9931, 18459, 18458, 18476, 18477 -16712 , 9932, 9922, 9931, 9933, 18460, 18459, 18477, 18478 -16713 , 9923, 9922, 9932, 9934, 18585, 18459, 18460, 18578 -16714 , 9935, 9932, 9933, 9936, 18461, 18460, 18478, 18479 -16715 , 9934, 9932, 9935, 9937, 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18596 -16732 , 18496, 18495, 18480, 18481, 18592, 18591, 18586, 18587 -16733 , 18495, 18494, 18479, 18480, 18591, 18596, 18590, 18586 -16734 , 15026, 16215, 16218, 15049, 15452, 16273, 16276, 15462 -16735 , 18497, 18496, 18481, 18482, 18599, 18592, 18587, 18589 -16736 , 9939, 9950, 9951, 9952, 18483, 18482, 18497, 18498 -16737 , 9953, 9950, 9939, 9941, 18589, 18482, 18483, 18593 -16738 , 9950, 9953, 9954, 9951, 18482, 18589, 18599, 18497 -16739 , 9940, 9939, 9952, 9955, 18485, 18483, 18498, 18499 -16740 , 9942, 9940, 9955, 9835, 18486, 18485, 18499, 18501 -16741 , 9819, 9942, 9835, 9827, 18500, 18486, 18501, 18514 -16742 , 9943, 9825, 9831, 9842, 18489, 18502, 18515, 18503 -16743 , 9944, 9943, 9842, 9956, 18490, 18489, 18503, 18504 -16744 , 9945, 9944, 9956, 9957, 18491, 18490, 18504, 18505 -16745 , 9946, 9945, 9957, 9958, 18492, 18491, 18505, 18506 -16746 , 9946, 9959, 9960, 9947, 18492, 18594, 18595, 18493 -16747 , 9959, 9946, 9958, 9961, 18594, 18492, 18506, 18601 -16748 , 9947, 9960, 9949, 9948, 18493, 18595, 18596, 18494 -16749 , 18510, 18509, 18495, 18496, 18598, 18597, 18591, 18592 -16750 , 18509, 18508, 18494, 18495, 18597, 18603, 18596, 18591 -16751 , 18511, 18510, 18496, 18497, 18607, 18598, 18592, 18599 -16752 , 9951, 9954, 9962, 9952, 18497, 18599, 18600, 18498 -16753 , 9955, 9952, 9963, 9964, 18499, 18498, 18512, 18513 -16754 , 9952, 9962, 9965, 9963, 18498, 18600, 18609, 18512 -16755 , 9835, 9955, 9964, 9836, 18501, 18499, 18513, 18526 -16756 , 15049, 16218, 16221, 15067, 15462, 16276, 16279, 15477 -16757 , 9956, 9842, 9843, 9966, 18504, 18503, 18527, 18516 -16758 , 9957, 9956, 9966, 9967, 18505, 18504, 18516, 18517 -16759 , 9958, 9957, 9967, 9968, 18506, 18505, 18517, 18518 -16760 , 9961, 9958, 9968, 9969, 18601, 18506, 18518, 18611 -16761 , 18520, 18519, 18507, 18508, 18605, 18604, 18602, 18603 -16762 , 18508, 18507, 18493, 18494, 18603, 18602, 18595, 18596 -16763 , 18519, 18518, 18506, 18507, 18604, 18611, 18601, 18602 -16764 , 18507, 18506, 18492, 18493, 18602, 18601, 18594, 18595 -16765 , 18521, 18520, 18508, 18509, 18606, 18605, 18603, 18597 -16766 , 18522, 18521, 18509, 18510, 18608, 18606, 18597, 18598 -16767 , 18523, 18522, 18510, 18511, 18610, 18608, 18598, 18607 -16768 , 18512, 18511, 18497, 18498, 18609, 18607, 18599, 18600 -16769 , 18524, 18523, 18511, 18512, 18615, 18610, 18607, 18609 -16770 , 9964, 9963, 9970, 9971, 18513, 18512, 18524, 18525 -16771 , 9963, 9965, 9972, 9970, 18512, 18609, 18615, 18524 -16772 , 9836, 9964, 9971, 9845, 18526, 18513, 18525, 18538 -16773 , 9966, 9843, 9850, 9973, 18516, 18527, 18539, 18528 -16774 , 9967, 9966, 9973, 9974, 18517, 18516, 18528, 18529 -16775 , 9968, 9967, 9974, 9975, 18518, 18517, 18529, 18530 -16776 , 9969, 9968, 9975, 9976, 18611, 18518, 18530, 18616 -16777 , 18532, 18531, 18519, 18520, 18613, 18612, 18604, 18605 -16778 , 18531, 18530, 18518, 18519, 18612, 18616, 18611, 18604 -16779 , 18533, 18532, 18520, 18521, 18614, 18613, 18605, 18606 -16780 , 18534, 18533, 18521, 18522, 18617, 18614, 18606, 18608 -16781 , 15067, 16221, 16224, 15084, 15477, 16279, 16282, 15481 -16782 , 9977, 9978, 9979, 9980, 18523, 18522, 18534, 18535 -16783 , 9981, 9978, 9977, 9982, 18608, 18522, 18523, 18610 -16784 , 9978, 9981, 9983, 9979, 18522, 18608, 18617, 18534 -16785 , 9970, 9977, 9980, 9984, 18524, 18523, 18535, 18536 -16786 , 9982, 9977, 9970, 9972, 18610, 18523, 18524, 18615 -16787 , 9971, 9970, 9984, 9985, 18525, 18524, 18536, 18537 -16788 , 9845, 9971, 9985, 9852, 18538, 18525, 18537, 18549 -16789 , 9973, 9850, 9856, 9861, 18528, 18539, 18551, 18540 -16790 , 9974, 9973, 9861, 9863, 18529, 18528, 18540, 18541 -16791 , 9975, 9974, 9863, 9986, 18530, 18529, 18541, 18542 -16792 , 9987, 9975, 9986, 9988, 18531, 18530, 18542, 18543 -16793 , 9976, 9975, 9987, 9989, 18616, 18530, 18531, 18612 -16794 , 9990, 9987, 9988, 9991, 18532, 18531, 18543, 18544 -16795 , 9989, 9987, 9990, 9992, 18612, 18531, 18532, 18613 -16796 , 9993, 9990, 9991, 9994, 18533, 18532, 18544, 18545 -16797 , 9992, 9990, 9993, 9995, 18613, 18532, 18533, 18614 -16798 , 9979, 9993, 9994, 9996, 18534, 18533, 18545, 18546 -16799 , 9995, 9993, 9979, 9983, 18614, 18533, 18534, 18617 -16800 , 9980, 9979, 9996, 9997, 18535, 18534, 18546, 18547 -16801 , 9984, 9980, 9997, 9998, 18536, 18535, 18547, 18548 -16802 , 9985, 9984, 9998, 9866, 18537, 18536, 18548, 18550 -16803 , 9852, 9985, 9866, 9858, 18549, 18537, 18550, 18559 -16804 , 9986, 9863, 9864, 9868, 18542, 18541, 18560, 18552 -16805 , 9988, 9986, 9868, 9869, 18543, 18542, 18552, 18553 -16806 , 15084, 16224, 16227, 15105, 15481, 16282, 16285, 15484 -16807 , 15483, 15399, 15482, 12261, 15686, 15677, 15619, 15608 -16808 , 9991, 9988, 9869, 9870, 18544, 18543, 18553, 18554 -16809 , 15677, 15686, 15483, 15399, 15689, 15695, 13251, 13225 -16810 , 9994, 9991, 9870, 9873, 18545, 18544, 18554, 18555 -16811 , 9996, 9994, 9873, 9876, 18546, 18545, 18555, 18556 -16812 , 9997, 9996, 9876, 9877, 18547, 18546, 18556, 18557 -16813 , 9998, 9997, 9877, 9878, 18548, 18547, 18557, 18558 -16814 , 9866, 9998, 9878, 9867, 18550, 18548, 18558, 18561 -16815 , 15613, 8630, 7607, 15254, 15616, 8638, 8473, 15400 -16816 , 9901, 9900, 9902, 9999, 18563, 18562, 18568, 18569 -16817 , 9903, 9901, 9999, 10000, 18564, 18563, 18569, 18570 -16818 , 9904, 9903, 10000, 9907, 18565, 18564, 18570, 18573 -16819 , 15105, 16227, 16230, 15125, 15484, 16285, 16288, 15485 -16820 , 9912, 9911, 9913, 10001, 18567, 18566, 18575, 18576 -16821 , 9902, 9912, 10001, 10002, 18568, 18567, 18576, 18577 -16822 , 9999, 9902, 10002, 10003, 18569, 18568, 18577, 18571 -16823 , 10000, 9999, 10003, 10004, 18570, 18569, 18571, 18572 -16824 , 9907, 10000, 10004, 10005, 18573, 18570, 18572, 18581 -16825 , 9914, 9907, 10005, 9917, 18574, 18573, 18581, 18584 -16826 , 10001, 9913, 9923, 9934, 18576, 18575, 18585, 18578 -16827 , 10002, 10001, 9934, 9937, 18577, 18576, 18578, 18579 -16828 , 10003, 10002, 9937, 10006, 18571, 18577, 18579, 18580 -16829 , 10004, 10003, 10006, 10007, 18572, 18571, 18580, 18582 -16830 , 10005, 10004, 10007, 10008, 18581, 18572, 18582, 18583 -16831 , 9917, 10005, 10008, 9926, 18584, 18581, 18583, 18588 -16832 , 10006, 9937, 9938, 10009, 18580, 18579, 18590, 18586 -16833 , 10007, 10006, 10009, 10010, 18582, 18580, 18586, 18587 -16834 , 10008, 10007, 10010, 9953, 18583, 18582, 18587, 18589 -16835 , 15125, 16230, 16233, 15142, 15485, 16288, 16291, 15486 -16836 , 9926, 10008, 9953, 9941, 18588, 18583, 18589, 18593 -16837 , 10009, 9938, 9949, 10011, 18586, 18590, 18596, 18591 -16838 , 10010, 10009, 10011, 10012, 18587, 18586, 18591, 18592 -16839 , 9953, 10010, 10012, 9954, 18589, 18587, 18592, 18599 -16840 , 9960, 9959, 9961, 10013, 18595, 18594, 18601, 18602 -16841 , 9949, 9960, 10013, 10014, 18596, 18595, 18602, 18603 -16842 , 10011, 9949, 10014, 10015, 18591, 18596, 18603, 18597 -16843 , 10012, 10011, 10015, 10016, 18592, 18591, 18597, 18598 -16844 , 9954, 10012, 10016, 10017, 18599, 18592, 18598, 18607 -16845 , 9962, 9954, 10017, 9965, 18600, 18599, 18607, 18609 -16846 , 10013, 9961, 9969, 10018, 18602, 18601, 18611, 18604 -16847 , 10014, 10013, 10018, 10019, 18603, 18602, 18604, 18605 -16848 , 10015, 10014, 10019, 10020, 18597, 18603, 18605, 18606 -16849 , 10016, 10015, 10020, 9981, 18598, 18597, 18606, 18608 -16850 , 10017, 10016, 9981, 9982, 18607, 18598, 18608, 18610 -16851 , 9965, 10017, 9982, 9972, 18609, 18607, 18610, 18615 -16852 , 15142, 16233, 16236, 15159, 15486, 16291, 16294, 15487 -16853 , 10018, 9969, 9976, 9989, 18604, 18611, 18616, 18612 -16854 , 10019, 10018, 9989, 9992, 18605, 18604, 18612, 18613 -16855 , 10020, 10019, 9992, 9995, 18606, 18605, 18613, 18614 -16856 , 9981, 10020, 9995, 9983, 18608, 18606, 18614, 18617 -16857 , 15159, 16236, 16239, 15178, 15487, 16294, 16297, 15492 -16858 , 15619, 15616, 15400, 15482, 8634, 8638, 8473, 7044 -16859 , 12261, 15608, 15624, 12935, 15483, 15686, 15692, 15488 -16860 , 12935, 15624, 15628, 13285, 15488, 15692, 15699, 15489 -16861 , 13285, 15628, 15631, 13437, 15489, 15699, 15705, 15490 -16862 , 13437, 15631, 15634, 13613, 15490, 15705, 15622, 15491 -16863 , 13613, 15634, 15637, 13683, 15491, 15622, 15595, 12246 -16864 , 13683, 15637, 15641, 13897, 12246, 15595, 15600, 12295 -16865 , 13897, 15641, 15644, 14007, 12295, 15600, 15670, 12383 -16866 , 15178, 16239, 16241, 15198, 15492, 16297, 16300, 15495 -16867 , 14007, 15644, 15648, 14173, 12383, 15670, 15722, 12454 -16868 , 14173, 15648, 15650, 14322, 12454, 15722, 15726, 12525 -16869 , 15726, 15722, 15648, 15650, 15649, 15646, 15642, 15645 -16870 , 14477, 15654, 15658, 14639, 12950, 15741, 15754, 12990 -16871 , 15754, 15741, 15654, 15658, 15656, 15653, 15651, 15652 -16872 , 14639, 15658, 15661, 14776, 12990, 15754, 15749, 13020 -16873 , 14776, 15661, 15663, 14962, 13020, 15749, 15750, 13081 -16874 , 12599, 15730, 15726, 12525, 8486, 8691, 8672, 7739 -16875 , 15493, 15732, 15730, 12599, 7158, 8695, 8691, 8486 -16876 , 15198, 16241, 16302, 15494, 15495, 16300, 16358, 15498 -16877 , 12900, 15739, 15737, 15496, 8494, 8703, 8702, 7181 -16878 , 12950, 15741, 15739, 12900, 7842, 8679, 8703, 8494 -16879 , 16302, 16244, 15199, 15494, 16305, 16247, 15235, 15497 -16880 , 15494, 16302, 16305, 15497, 15498, 16358, 16364, 15501 -16881 , 16305, 16302, 16244, 16247, 16246, 16242, 16169, 16245 -16882 , 14287, 16084, 16086, 14296, 14726, 16174, 16178, 14748 -16883 , 16305, 8768, 8164, 15497, 16364, 8778, 8474, 15501 -16884 , 16250, 16179, 15252, 15248, 16308, 16315, 15500, 15499 -16885 , 16315, 16308, 16250, 16179, 16251, 16248, 16172, 16175 -16886 , 16368, 15502, 15499, 16308, 8782, 8475, 8170, 8773 -16887 , 15499, 15502, 16368, 16308, 15500, 15505, 16372, 16315 -16888 , 16364, 16424, 15503, 15501, 16358, 16363, 15507, 15498 -16889 , 15503, 16424, 16364, 15501, 8476, 8785, 8778, 8474 -16890 , 16427, 15504, 15502, 16368, 8788, 8477, 8475, 8782 -16891 , 15502, 15504, 16427, 16368, 15505, 15509, 16374, 16372 -16892 , 16424, 16480, 15506, 15503, 16363, 16422, 15511, 15507 -16893 , 15506, 16480, 16424, 15503, 8478, 8791, 8785, 8476 -16894 , 15504, 15508, 16481, 16427, 15509, 15512, 16484, 16374 -16895 , 16481, 15508, 15504, 16427, 8796, 8479, 8477, 8788 -16896 , 16484, 16481, 16427, 16374, 16428, 16425, 16366, 16369 -16897 , 16480, 16532, 15510, 15506, 16422, 16478, 15517, 15511 -16898 , 15510, 16532, 16480, 15506, 8487, 8800, 8791, 8478 -16899 , 16484, 15512, 15508, 16481, 8801, 8488, 8479, 8796 -16900 , 15512, 15513, 16534, 16484, 15514, 15518, 16487, 16432 -16901 , 16534, 15513, 15512, 16484, 8804, 8489, 8488, 8801 -16902 , 16484, 16374, 15509, 15512, 16432, 16377, 15558, 15514 -16903 , 10427, 10925, 10928, 10983, 8810, 8484, 8490, 8809 -16904 , 10983, 16545, 15515, 10928, 10989, 16506, 15526, 10951 -16905 , 15515, 16545, 10983, 10928, 8491, 8811, 8809, 8490 -16906 , 10427, 10270, 10310, 10983, 10268, 10265, 10262, 10884 -16907 , 15500, 16315, 16255, 15255, 15505, 16372, 16314, 15529 -16908 , 15686, 15692, 15488, 15483, 15695, 15701, 13277, 13251 -16909 , 16532, 16565, 15516, 15510, 16478, 16530, 15528, 15517 -16910 , 15516, 16565, 16532, 15510, 8495, 8821, 8800, 8487 -16911 , 16487, 15518, 15513, 16534, 8824, 8496, 8489, 8804 -16912 , 15518, 15519, 16490, 16487, 15514, 15521, 16435, 16432 -16913 , 16490, 15519, 15518, 16487, 8827, 8497, 8496, 8824 -16914 , 15519, 15520, 16494, 16490, 15521, 15523, 16438, 16435 -16915 , 16494, 15520, 15519, 16490, 8830, 8498, 8497, 8827 -16916 , 15520, 15522, 16566, 16494, 15524, 15530, 16568, 16497 -16917 , 16566, 15522, 15520, 16494, 8835, 8499, 8498, 8830 -16918 , 16494, 16438, 15523, 15520, 16497, 16441, 15571, 15524 -16919 , 16568, 16566, 16494, 16497, 16536, 16535, 16489, 16492 -16920 , 16545, 16570, 15525, 15515, 16506, 16546, 15534, 15526 -16921 , 15525, 16570, 16545, 15515, 8500, 8841, 8811, 8491 -16922 , 15516, 16565, 16581, 15527, 15528, 16530, 16562, 15536 -16923 , 16581, 16565, 15516, 15527, 8852, 8821, 8495, 8503 -16924 , 15255, 16255, 16258, 15261, 15529, 16314, 16318, 15539 -16925 , 16568, 15530, 15522, 16566, 8853, 8504, 8499, 8835 -16926 , 15530, 15531, 16539, 16568, 15524, 15533, 16500, 16497 -16927 , 16539, 15531, 15530, 16568, 8856, 8505, 8504, 8853 -16928 , 15531, 15532, 16543, 16539, 15533, 15535, 16503, 16500 -16929 , 16543, 15532, 15531, 16539, 8859, 8506, 8505, 8856 -16930 , 15532, 15534, 16546, 16543, 15535, 15526, 16506, 16503 -16931 , 16546, 15534, 15532, 16543, 8862, 8507, 8506, 8859 -16932 , 16570, 15525, 15534, 16546, 8841, 8500, 8507, 8862 -16933 , 16562, 16581, 15527, 15536, 10025, 8852, 8503, 8512 -16934 , 15536, 16562, 16582, 15537, 15538, 16560, 16580, 15541 -16935 , 16582, 16562, 15536, 15537, 8884, 10025, 8512, 8513 -16936 , 15528, 16530, 16562, 15536, 15586, 16527, 16560, 15538 -16937 , 16562, 16582, 16594, 16581, 10025, 8884, 8874, 8852 -16938 , 15261, 16258, 16261, 15282, 15539, 16318, 16321, 15546 -16939 , 15537, 16582, 16598, 15540, 15541, 16580, 16592, 15543 -16940 , 16598, 16582, 15537, 15540, 8887, 8884, 8513, 8516 -16941 , 15540, 16598, 16603, 15542, 15543, 16592, 16599, 15544 -16942 , 16603, 16598, 15540, 15542, 8895, 8887, 8516, 8518 -16943 , 16599, 16603, 15542, 15544, 8903, 8895, 8518, 8520 -16944 , 15544, 16599, 16605, 15545, 11777, 11906, 12232, 11720 -16945 , 16605, 16599, 15544, 15545, 8906, 8903, 8520, 8521 -16946 , 15543, 16592, 16599, 15544, 11772, 12237, 11906, 11777 -16947 , 15282, 16261, 16264, 15296, 15546, 16321, 16324, 15547 -16948 , 12232, 16605, 15545, 11720, 8916, 8906, 8521, 8523 -16949 , 15296, 16264, 16267, 15311, 15547, 16324, 16327, 15548 -16950 , 15311, 16267, 10981, 10930, 15548, 16327, 10985, 10940 -16951 , 15692, 15699, 15489, 15488, 15701, 15707, 13296, 13277 -16952 , 10962, 10993, 16273, 15452, 10945, 10968, 10987, 10960 -16953 , 15452, 16273, 16276, 15462, 10960, 10987, 16334, 15549 -16954 , 15462, 16276, 16279, 15477, 15549, 16334, 16337, 15550 -16955 , 15477, 16279, 16282, 15481, 15550, 16337, 16340, 15551 -16956 , 15699, 15705, 15490, 15489, 15707, 15711, 13308, 13296 -16957 , 15481, 16282, 16285, 15484, 15551, 16340, 16343, 15552 -16958 , 15484, 16285, 16288, 15485, 15552, 16343, 16346, 15553 -16959 , 15485, 16288, 16291, 15486, 15553, 16346, 16349, 15554 -16960 , 15486, 16291, 16294, 15487, 15554, 16349, 16352, 15555 -16961 , 15487, 16294, 16297, 15492, 15555, 16352, 16355, 15556 -16962 , 15492, 16297, 16300, 15495, 15556, 16355, 16360, 15557 -16963 , 15495, 16300, 16358, 15498, 15557, 16360, 16363, 15507 -16964 , 15705, 15622, 15491, 15490, 15711, 15596, 12248, 13308 -16965 , 15505, 16372, 16314, 15529, 15509, 16374, 16377, 15558 -16966 , 15529, 16314, 16318, 15539, 15558, 16377, 16380, 15559 -16967 , 15539, 16318, 16321, 15546, 15559, 16380, 16383, 15560 -16968 , 15546, 16321, 16324, 15547, 15560, 16383, 16386, 15561 -16969 , 15547, 16324, 16327, 15548, 15561, 16386, 16389, 15562 -16970 , 15548, 16327, 10985, 10940, 15562, 16389, 10988, 10949 -16971 , 17551, 17862, 17861, 17550, 17863, 17868, 17867, 17854 -16972 , 17868, 17867, 17854, 17863, 18159, 18158, 18142, 18143 -16973 , 10960, 10987, 16334, 15549, 10953, 10971, 10991, 10959 -16974 , 15549, 16334, 16337, 15550, 10959, 10991, 16398, 15563 -16975 , 15550, 16337, 16340, 15551, 15563, 16398, 16401, 15564 -16976 , 15551, 16340, 16343, 15552, 15564, 16401, 16404, 15565 -16977 , 15552, 16343, 16346, 15553, 15565, 16404, 16407, 15566 -16978 , 15553, 16346, 16349, 15554, 15566, 16407, 16410, 15567 -16979 , 15554, 16349, 16352, 15555, 15567, 16410, 16413, 15568 -16980 , 15555, 16352, 16355, 15556, 15568, 16413, 16416, 15569 -16981 , 15556, 16355, 16360, 15557, 15569, 16416, 16419, 15570 -16982 , 15557, 16360, 16363, 15507, 15570, 16419, 16422, 15511 -16983 , 15558, 16377, 16380, 15559, 15514, 16432, 16435, 15521 -16984 , 15559, 16380, 16383, 15560, 15521, 16435, 16438, 15523 -16985 , 15560, 16383, 16386, 15561, 15523, 16438, 16441, 15571 -16986 , 15561, 16386, 16389, 15562, 15571, 16441, 16444, 15572 -16987 , 15562, 16389, 10988, 10949, 15572, 16444, 16447, 15573 -16988 , 16447, 10988, 10949, 15573, 10989, 10986, 10942, 10951 -16989 , 10959, 10991, 16398, 15563, 10958, 10990, 16454, 15574 -16990 , 15563, 16398, 16401, 15564, 15574, 16454, 16457, 15575 -16991 , 15564, 16401, 16404, 15565, 15575, 16457, 16460, 15576 -16992 , 15565, 16404, 16407, 15566, 15576, 16460, 16463, 15577 -16993 , 15566, 16407, 16410, 15567, 15577, 16463, 16466, 15578 -16994 , 15567, 16410, 16413, 15568, 15578, 16466, 16469, 15579 -16995 , 15568, 16413, 16416, 15569, 15579, 16469, 16472, 15580 -16996 , 15569, 16416, 16419, 15570, 15580, 16472, 16475, 15581 -16997 , 15570, 16419, 16422, 15511, 15581, 16475, 16478, 15517 -16998 , 15571, 16441, 16444, 15572, 15524, 16497, 16500, 15533 -16999 , 15572, 16444, 16447, 15573, 15533, 16500, 16503, 15535 -17000 , 15573, 16447, 10989, 10951, 15535, 16503, 16506, 15526 -17001 , 10958, 10990, 16454, 15574, 11782, 11791, 11794, 11740 -17002 , 15574, 16454, 16457, 15575, 11740, 11794, 11799, 11742 -17003 , 15575, 16457, 16460, 15576, 11742, 11799, 12234, 11781 -17004 , 15576, 16460, 16463, 15577, 11781, 12234, 16515, 15582 -17005 , 15577, 16463, 16466, 15578, 15582, 16515, 16518, 15583 -17006 , 15578, 16466, 16469, 15579, 15583, 16518, 16521, 15584 -17007 , 15579, 16469, 16472, 15580, 15584, 16521, 16524, 15585 -17008 , 15580, 16472, 16475, 15581, 15585, 16524, 16527, 15586 -17009 , 15581, 16475, 16478, 15517, 15586, 16527, 16530, 15528 -17010 , 11781, 12234, 16515, 15582, 11748, 11818, 11827, 11751 -17011 , 15582, 16515, 16518, 15583, 11751, 11827, 12235, 11780 -17012 , 15583, 16518, 16521, 15584, 11780, 12235, 16554, 15587 -17013 , 15584, 16521, 16524, 15585, 15587, 16554, 16557, 15588 -17014 , 15585, 16524, 16527, 15586, 15588, 16557, 16560, 15538 -17015 , 11780, 12235, 16554, 15587, 11759, 11850, 12236, 11763 -17016 , 15587, 16554, 16557, 15588, 11763, 12236, 16577, 15589 -17017 , 15588, 16557, 16560, 15538, 15589, 16577, 16580, 15541 -17018 , 11763, 12236, 16577, 15589, 11764, 11877, 12237, 11772 -17019 , 15589, 16577, 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-1845, 3373, 3367, 3368, 3374, 3445, 3444, 3449, 3450 -1846, 3369, 3377, 3375, 3147, 3419, 3425, 3423, 3144 -1847, 3378, 3377, 3369, 3370, 3426, 3425, 3419, 3422 -1848, 3379, 3378, 3370, 3371, 3436, 3426, 3422, 3435 -1849, 3379, 3371, 3372, 3380, 3436, 3435, 3440, 3441 -1850, 3333, 3325, 3380, 3381, 3347, 3346, 3388, 3389 -1851, 3373, 3381, 3380, 3372, 3445, 3446, 3441, 3440 -1852, 3374, 3382, 3381, 3373, 3450, 3451, 3446, 3445 -1853, 3329, 3328, 3383, 3384, 3334, 3621, 3622, 3392 -1854, 3376, 3375, 3384, 3383, 3424, 3423, 3427, 3428 -1855, 3385, 3384, 3375, 3377, 3429, 3427, 3423, 3425 -1856, 3377, 3378, 3386, 3385, 3425, 3426, 3432, 3429 -1857, 3378, 3379, 3387, 3386, 3426, 3436, 3437, 3432 -1858, 3379, 3380, 3388, 3387, 3436, 3441, 3442, 3437 -1859, 3380, 3381, 3389, 3388, 3441, 3446, 3447, 3442 -1860, 3389, 3381, 3382, 3390, 3447, 3446, 3451, 3452 -1861, 3384, 3385, 3393, 3392, 3427, 3429, 3431, 3430 -1862, 3385, 3386, 3394, 3393, 3429, 3432, 3433, 3431 -1863, 3395, 3394, 3386, 3387, 3438, 3433, 3432, 3437 -1864, 3388, 3346, 3348, 3396, 3389, 3347, 3349, 3397 -1865, 3396, 3395, 3387, 3388, 3443, 3438, 3437, 3442 -1866, 3390, 3356, 3347, 3389, 3398, 3357, 3349, 3397 -1867, 3397, 3396, 3388, 3389, 3448, 3443, 3442, 3447 -1868, 3397, 3389, 3390, 3398, 3448, 3447, 3452, 3453 -1869, 3401, 3399, 3073, 3362, 3493, 3062, 3053, 3054 -1870, 3410, 3338, 3334, 3392, 3636, 3635, 3621, 3622 -1871, 3361, 3411, 3401, 3362, 3055, 3494, 3493, 3054 -1872, 3411, 3361, 3360, 3415, 3494, 3055, 3492, 3495 -1873, 3360, 3354, 3414, 3415, 3497, 3355, 3418, 3498 -1874, 3420, 3120, 3118, 3419, 3460, 3459, 3421, 3422 -1875, 3144, 3141, 3420, 3419, 3423, 3455, 3456, 3425 -1876, 3425, 3419, 3422, 3426, 3456, 3420, 3460, 3461 -1877, 3427, 3384, 3383, 3428, 3430, 3392, 3622, 3623 -1878, 3424, 3423, 3427, 3428, 3454, 3455, 3458, 3457 -1879, 3427, 3423, 3425, 3429, 3458, 3455, 3456, 3462 -1880, 3427, 3429, 3431, 3430, 3458, 3462, 3464, 3463 -1881, 3425, 3426, 3432, 3429, 3456, 3461, 3465, 3462 -1882, 3429, 3432, 3433, 3431, 3462, 3465, 3466, 3464 -1883, 2943, 2950, 3434, 3421, 2998, 3005, 3467, 3459 -1884, 3434, 3435, 3422, 3421, 3467, 3468, 3460, 3459 -1885, 3435, 3436, 3426, 3422, 3468, 3469, 3461, 3460 -1886, 3426, 3436, 3437, 3432, 3461, 3469, 3470, 3465 -1887, 3437, 3438, 3433, 3432, 3470, 3471, 3466, 3465 -1888, 3434, 2950, 2957, 3439, 3467, 3005, 3012, 3472 -1889, 3439, 3440, 3435, 3434, 3472, 3473, 3468, 3467 -1890, 3435, 3440, 3441, 3436, 3468, 3473, 3474, 3469 -1891, 3437, 3436, 3441, 3442, 3470, 3469, 3474, 3475 -1892, 3443, 3438, 3437, 3442, 3476, 3471, 3470, 3475 -1893, 2964, 3444, 3439, 2957, 3025, 3477, 3472, 3012 -1894, 3445, 3440, 3439, 3444, 3479, 3473, 3472, 3477 -1895, 3440, 3445, 3446, 3441, 3473, 3479, 3481, 3474 -1896, 3441, 3446, 3447, 3442, 3474, 3481, 3483, 3475 -1897, 3447, 3448, 3443, 3442, 3483, 3484, 3476, 3475 -1898, 3444, 2964, 2973, 3449, 3477, 3025, 3026, 3478 -1899, 3445, 3444, 3449, 3450, 3479, 3477, 3478, 3480 -1900, 3451, 3446, 3445, 3450, 3482, 3481, 3479, 3480 -1901, 3447, 3446, 3451, 3452, 3483, 3481, 3482, 3485 -1902, 3453, 3448, 3447, 3452, 3486, 3484, 3483, 3485 -1903, 3428, 3457, 3458, 3427, 3623, 3624, 3463, 3430 -1904, 3174, 3175, 3215, 3176, 3187, 3519, 3533, 3530 -1905, 3204, 3203, 3237, 3491, 3555, 3233, 3229, 3232 -1906, 3227, 3242, 3240, 3220, 3232, 3491, 3237, 3229 -1907, 3176, 3490, 3257, 3246, 3530, 3532, 3528, 3527 -1908, 3249, 3257, 3490, 3248, 3529, 3528, 3532, 3531 -1909, 3495, 3492, 3360, 3415, 3500, 3499, 3497, 3498 -1910, 3360, 3492, 3045, 3311, 3497, 3499, 3082, 3496 -1911, 3501, 2650, 2651, 3502, 3518, 3503, 3512, 3526 -1912, 3502, 2655, 2654, 3501, 3526, 3517, 3510, 3518 -1913, 2654, 2629, 2650, 3501, 3510, 3511, 3503, 3518 -1914, 3506, 3504, 3101, 3100, 3538, 3537, 3615, 3616 -1915, 3508, 2652, 2654, 3510, 3213, 2852, 3626, 3625 -1916, 2629, 3511, 3510, 2654, 3627, 3613, 3625, 3626 -1917, 3511, 2629, 2631, 3212, 3613, 3627, 3628, 3614 -1918, 3221, 3230, 3229, 3220, 3617, 3539, 3238, 3618 -1919, 3514, 3095, 3096, 3535, 3598, 3098, 3097, 3597 -1920, 3101, 3096, 3097, 3212, 3504, 3535, 3597, 3601 -1921, 3212, 3097, 3503, 3511, 3601, 3597, 3599, 3591 -1922, 3097, 3098, 3512, 3503, 3597, 3598, 3600, 3599 -1923, 3503, 3512, 3526, 3518, 3511, 3586, 3517, 3510 -1924, 3510, 3517, 3509, 3508, 3511, 3586, 3585, 3584 -1925, 3509, 3507, 3108, 3508, 3579, 3107, 3106, 3213 -1926, 3103, 3106, 3107, 3104, 3105, 3580, 3581, 3216 -1927, 3225, 3516, 3515, 3223, 3531, 3566, 3565, 3529 -1928, 3103, 3105, 3515, 3214, 3106, 3580, 3583, 3213 -1929, 3515, 3105, 3088, 3223, 3565, 3523, 3211, 3529 -1930, 3109, 3105, 3216, 3110, 3111, 3523, 3569, 2863 -1931, 3111, 2863, 2839, 2838, 3523, 3569, 2858, 3521 -1932, 3525, 3522, 3233, 3524, 3545, 3548, 3234, 3544 -1933, 3233, 3203, 3202, 3524, 3555, 3204, 3489, 3558 -1934, 3487, 3489, 3204, 3488, 3559, 3558, 3555, 3560 -1935, 3176, 3488, 3204, 3490, 3530, 3560, 3555, 3532 -1936, 3488, 3176, 3215, 3487, 3560, 3530, 3533, 3559 -1937, 3530, 3187, 3519, 3533, 3562, 3553, 3554, 3561 -1938, 3531, 3232, 3227, 3225, 3566, 3231, 3536, 3516 -1939, 3491, 3232, 3531, 3248, 3204, 3555, 3532, 3490 -1940, 3529, 3528, 3532, 3531, 3565, 3557, 3564, 3566 -1941, 3209, 3210, 3521, 2848, 3527, 3528, 3557, 3556 -1942, 3207, 3527, 3209, 3208, 3520, 3556, 2848, 2847 -1943, 3184, 3186, 3187, 3207, 3189, 3551, 3553, 3520 -1944, 3186, 3185, 3519, 3187, 3551, 3550, 3554, 3553 -1945, 3207, 3187, 3530, 3527, 3520, 3553, 3562, 3556 -1946, 2849, 2848, 3521, 2858, 3572, 3556, 3557, 3573 -1947, 2849, 2846, 2847, 2848, 3572, 3534, 3520, 3556 -1948, 3189, 3520, 3534, 3188, 3551, 3553, 3554, 3550 -1949, 3505, 3504, 3506, 3513, 3540, 3537, 3538, 3541 -1950, 3540, 3537, 3538, 3541, 3546, 3542, 3543, 3547 -1951, 3543, 3542, 3537, 3538, 3548, 3234, 3230, 3539 -1952, 3544, 3546, 3547, 3545, 3234, 3542, 3543, 3548 -1953, 3540, 3537, 3542, 3546, 3505, 3504, 3610, 3609 -1954, 3234, 3544, 3546, 3542, 3549, 3567, 3596, 3595 -1955, 3230, 3231, 3549, 3234, 3537, 3612, 3595, 3542 -1956, 3524, 3544, 3234, 3233, 3558, 3567, 3549, 3555 -1957, 3515, 3516, 3217, 3214, 3583, 3613, 3625, 3213 -1958, 3556, 3527, 3528, 3557, 3562, 3530, 3532, 3564 -1959, 3521, 3557, 3528, 3210, 3523, 3565, 3529, 3211 -1960, 3221, 3536, 3231, 3230, 3615, 3614, 3612, 3537 -1961, 3561, 3533, 3530, 3562, 3568, 3559, 3560, 3563 -1962, 3560, 3530, 3562, 3563, 3555, 3532, 3564, 3549 -1963, 3231, 3536, 3516, 3566, 3612, 3614, 3613, 3611 -1964, 3559, 3560, 3563, 3568, 3558, 3555, 3549, 3567 -1965, 3566, 3564, 3532, 3531, 3231, 3549, 3555, 3232 -1966, 3523, 3571, 3570, 3569, 3521, 3574, 3575, 2858 -1967, 3570, 3571, 3523, 3569, 3581, 3580, 3105, 3216 -1968, 3534, 3554, 3553, 3520, 3572, 3561, 3562, 3556 -1969, 3521, 2858, 3573, 3557, 3574, 3575, 3576, 3578 -1970, 3521, 3523, 3571, 3574, 3557, 3565, 3588, 3578 -1971, 3573, 3572, 3556, 3557, 3577, 3561, 3562, 3564 -1972, 3575, 3574, 3571, 3570, 3576, 3578, 3588, 3587 -1973, 3561, 3562, 3564, 3577, 3568, 3563, 3549, 3567 -1974, 3564, 3557, 3573, 3577, 3589, 3578, 3576, 3594 -1975, 3579, 3107, 3106, 3213, 3582, 3581, 3580, 3583 -1976, 3508, 3509, 3579, 3213, 3584, 3585, 3582, 3583 -1977, 3213, 3508, 3584, 3583, 3625, 3510, 3511, 3613 -1978, 3105, 3580, 3571, 3523, 3515, 3583, 3588, 3565 -1979, 3582, 3581, 3580, 3583, 3587, 3570, 3571, 3588 -1980, 3578, 3557, 3565, 3588, 3589, 3564, 3566, 3611 -1981, 3516, 3515, 3565, 3566, 3613, 3583, 3588, 3611 -1982, 3585, 3582, 3583, 3584, 3593, 3587, 3588, 3592 -1983, 3585, 3584, 3511, 3586, 3593, 3592, 3591, 3590 -1984, 3592, 3591, 3590, 3593, 3606, 3603, 3604, 3605 -1985, 3591, 3592, 3584, 3511, 3611, 3588, 3583, 3613 -1986, 3577, 3564, 3589, 3594, 3567, 3549, 3595, 3596 -1987, 3595, 3549, 3564, 3589, 3612, 3231, 3566, 3611 -1988, 3592, 3593, 3587, 3588, 3606, 3605, 3576, 3578 -1989, 3594, 3589, 3578, 3576, 3604, 3603, 3606, 3605 -1990, 3597, 3535, 3514, 3598, 3601, 3504, 3505, 3602 -1991, 3512, 3503, 3599, 3600, 3586, 3511, 3591, 3590 -1992, 3597, 3598, 3600, 3599, 3601, 3602, 3590, 3591 -1993, 3511, 3212, 3601, 3591, 3613, 3614, 3612, 3611 -1994, 3591, 3603, 3606, 3592, 3611, 3589, 3578, 3588 -1995, 3591, 3601, 3602, 3590, 3603, 3608, 3607, 3604 -1996, 3594, 3596, 3595, 3589, 3604, 3607, 3608, 3603 -1997, 3595, 3589, 3603, 3608, 3612, 3611, 3591, 3601 -1998, 3504, 3610, 3609, 3505, 3601, 3608, 3607, 3602 -1999, 3610, 3608, 3601, 3504, 3542, 3595, 3612, 3537 -2000, 3609, 3546, 3596, 3607, 3610, 3542, 3595, 3608 -2001, 3217, 3516, 2865, 2866, 3625, 3613, 3627, 3626 -2002, 3552, 2865, 3516, 3536, 3628, 3627, 3613, 3614 -2003, 3218, 3552, 3536, 3221, 3629, 3628, 3614, 3615 -2004, 3601, 3212, 3101, 3504, 3612, 3614, 3615, 3537 -2005, 3538, 3539, 3230, 3537, 3616, 3617, 3221, 3615 -2006, 3617, 3221, 3615, 3616, 3631, 3218, 3629, 3630 -2007, 2865, 3627, 3628, 3552, 3641, 3637, 3638, 3642 -2008, 3218, 3552, 3628, 3629, 3643, 3642, 3638, 3639 -2009, 3631, 3218, 3629, 3630, 3644, 3643, 3639, 3640 -2010, 3646, 3645, 1, 2, 4863, 4862, 1303, 1304 -2011, 6, 1, 3645, 3647, 1308, 1303, 4862, 4864 -2012, 9, 10, 3648, 3649, 1311, 1312, 4865, 4866 -2013, 3649, 3648, 3650, 3651, 4866, 4865, 4867, 4868 -2014, 3648, 3653, 3652, 3650, 4865, 4870, 4869, 4867 -2015, 10, 15, 3653, 3648, 1312, 1317, 4870, 4865 -2016, 17, 9, 3649, 3654, 1319, 1311, 4866, 4871 -2017, 3654, 3649, 3651, 3655, 4871, 4866, 4868, 4872 -2018, 3654, 3656, 19, 17, 4871, 4873, 1321, 1319 -2019, 3655, 3657, 3656, 3654, 4872, 4874, 4873, 4871 -2020, 3660, 3659, 3658, 3661, 4877, 4876, 4875, 4878 -2021, 3658, 3659, 3646, 3662, 4875, 4876, 4863, 4879 -2022, 3663, 3646, 3659, 3660, 4880, 4863, 4876, 4877 -2023, 3665, 3664, 28, 29, 4882, 4881, 1330, 1331 -2024, 3664, 3666, 32, 28, 4881, 4883, 1334, 1330 -2025, 3668, 3667, 3658, 3669, 4885, 4884, 4875, 4886 -2026, 3669, 3658, 3662, 3670, 4886, 4875, 4879, 4887 -2027, 3661, 3658, 3667, 3671, 4878, 4875, 4884, 4888 -2028, 3672, 3668, 3669, 3673, 4889, 4885, 4886, 4890 -2029, 3673, 3669, 3670, 3666, 4890, 4886, 4887, 4883 -2030, 3674, 3673, 3666, 3664, 4891, 4890, 4883, 4881 -2031, 3675, 3672, 3673, 3674, 4892, 4889, 4890, 4891 -2032, 3676, 3674, 3664, 3665, 4893, 4891, 4881, 4882 -2033, 3677, 3675, 3674, 3676, 4894, 4892, 4891, 4893 -2034, 3678, 3676, 3665, 3679, 4895, 4893, 4882, 4896 -2035, 3680, 3677, 3676, 3678, 4897, 4894, 4893, 4895 -2036, 3681, 3678, 3679, 3682, 4898, 4895, 4896, 4899 -2037, 3683, 3680, 3678, 3681, 4900, 4897, 4895, 4898 -2038, 3684, 3683, 3681, 3685, 4901, 4900, 4898, 4902 -2039, 3685, 3681, 3682, 3686, 4902, 4898, 4899, 4903 -2040, 3687, 3684, 3685, 3688, 4904, 4901, 4902, 4905 -2041, 3688, 3685, 3686, 3689, 4905, 4902, 4903, 4906 -2042, 3690, 3687, 3688, 3691, 4907, 4904, 4905, 4908 -2043, 3691, 3688, 3689, 3692, 4908, 4905, 4906, 4909 -2044, 3693, 3690, 3691, 3694, 4910, 4907, 4908, 4911 -2045, 3694, 3691, 3692, 3695, 4911, 4908, 4909, 4912 -2046, 3696, 3693, 3694, 3697, 4913, 4910, 4911, 4914 -2047, 3697, 3694, 3695, 3698, 4914, 4911, 4912, 4915 -2048, 3700, 3697, 3699, 3701, 4917, 4914, 4916, 4918 -2049, 3699, 3697, 3698, 3702, 4916, 4914, 4915, 4919 -2050, 3703, 3696, 3697, 3700, 4920, 4913, 4914, 4917 -2051, 3701, 3699, 3702, 3704, 4918, 4916, 4919, 4921 -2052, 3707, 3706, 3705, 3708, 4924, 4923, 4922, 4925 -2053, 3705, 3706, 3709, 3710, 4922, 4923, 4926, 4927 -2054, 3711, 3709, 3706, 3707, 4928, 4926, 4923, 4924 -2055, 3713, 3712, 3705, 3714, 4930, 4929, 4922, 4931 -2056, 3714, 3705, 3710, 3715, 4931, 4922, 4927, 4932 -2057, 3708, 3705, 3712, 3716, 4925, 4922, 4929, 4933 -2058, 3717, 3713, 3714, 3718, 4934, 4930, 4931, 4935 -2059, 3718, 3714, 3715, 3647, 4935, 4931, 4932, 4864 -2060, 3719, 3717, 3718, 3660, 4936, 4934, 4935, 4877 -2061, 3660, 3718, 3647, 3663, 4877, 4935, 4864, 4880 -2062, 3671, 3719, 3660, 3661, 4888, 4936, 4877, 4878 -2063, 3720, 3703, 3700, 3701, 4937, 4920, 4917, 4918 -2064, 3721, 3720, 3701, 3722, 4938, 4937, 4918, 4939 -2065, 3722, 3701, 3704, 3723, 4939, 4918, 4921, 4940 -2066, 3725, 3722, 3724, 3726, 4942, 4939, 4941, 4943 -2067, 3724, 3722, 3723, 3727, 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12424, 12430 -9139 , 12337, 12332, 12428, 12423, 12425, 12339, 12432, 12429 -9140 , 12431, 12331, 12332, 12428, 12436, 12345, 12338, 12433 -9141 , 12332, 12331, 12431, 12428, 12339, 12346, 12435, 12432 -9142 , 12434, 12342, 12331, 12431, 12439, 12351, 12345, 12436 -9143 , 12331, 12342, 12434, 12431, 12346, 12352, 12438, 12435 -9144 , 12437, 12348, 12342, 12434, 12442, 12357, 12351, 12439 -9145 , 12342, 12348, 12437, 12434, 12352, 12358, 12441, 12438 -9146 , 12440, 12354, 12348, 12437, 12445, 12363, 12357, 12442 -9147 , 12348, 12354, 12440, 12437, 12358, 12364, 12444, 12441 -9148 , 12443, 12360, 12354, 12440, 12448, 12367, 12363, 12445 -9149 , 12354, 12360, 12443, 12440, 12364, 12368, 12447, 12444 -9150 , 12446, 12255, 12360, 12443, 12449, 12370, 12367, 12448 -9151 , 12360, 12255, 12446, 12443, 12368, 12249, 12263, 12447 -9152 , 12256, 12251, 12255, 12446, 12450, 12372, 12370, 12449 -9153 , 12328, 12250, 12251, 12256, 12455, 12375, 12372, 12450 -9154 , 12380, 12451, 12452, 12381, 12453, 12524, 12464, 12422 -9155 , 12452, 12451, 12380, 12381, 12386, 12525, 12454, 12379 -9156 , 12421, 12325, 12250, 12328, 12458, 12377, 12375, 12455 -9157 , 12456, 12376, 12325, 12421, 12462, 12457, 12377, 12458 -9158 , 12381, 12452, 12459, 12376, 12422, 12464, 12460, 12456 -9159 , 12459, 12452, 12381, 12376, 12306, 12386, 12379, 12303 -9160 , 12460, 12459, 12376, 12456, 12465, 12461, 12457, 12462 -9161 , 12461, 12459, 12376, 12457, 12385, 12306, 12303, 12378 -9162 , 12459, 12388, 12463, 12460, 12452, 12466, 12548, 12464 -9163 , 12463, 12388, 12459, 12460, 12549, 12467, 12461, 12465 -9164 , 12388, 12466, 12452, 12459, 12384, 12390, 12386, 12306 -9165 , 12388, 12384, 12306, 12459, 12467, 12389, 12385, 12461 -9166 , 7105, 7104, 7119, 7107, 12388, 12391, 12470, 12467 -9167 , 7108, 7120, 7121, 7104, 12469, 12472, 12468, 12391 -9168 , 7104, 7121, 7122, 7119, 12391, 12468, 12473, 12470 -9169 , 7120, 7123, 7124, 7121, 12472, 12561, 12471, 12468 -9170 , 7121, 7124, 7125, 7122, 12468, 12471, 12562, 12473 -9171 , 7126, 7116, 7115, 7127, 12476, 12478, 12395, 12474 -9172 , 7127, 7115, 7117, 7128, 12474, 12395, 12479, 12477 -9173 , 7127, 7129, 7130, 7126, 12474, 12475, 12572, 12476 -9174 , 7128, 7131, 7129, 7127, 12477, 12571, 12475, 12474 -9175 , 12480, 12481, 12482, 12483, 12484, 12485, 12494, 12489 -9176 , 12482, 12481, 12480, 12483, 12495, 12486, 12487, 12490 -9177 , 12481, 12485, 12484, 12480, 12310, 12401, 12399, 12393 -9178 , 12486, 12481, 12480, 12487, 12400, 12310, 12393, 12398 -9179 , 12395, 12480, 12483, 12488, 12478, 12484, 12489, 12576 -9180 , 12483, 12480, 12395, 12488, 12490, 12487, 12479, 12575 -9181 , 12399, 12484, 12480, 12393, 12397, 12478, 12395, 12394 -9182 , 12480, 12393, 12394, 12395, 12487, 12398, 12396, 12479 -9183 , 12481, 12411, 12491, 12482, 12485, 12492, 12497, 12494 -9184 , 12491, 12411, 12481, 12482, 12498, 12493, 12486, 12495 -9185 , 12411, 12492, 12485, 12481, 12313, 12414, 12401, 12310 -9186 , 12493, 12411, 12481, 12486, 12402, 12313, 12310, 12400 -9187 , 12411, 12406, 12496, 12491, 12492, 12412, 12500, 12497 -9188 , 12496, 12406, 12411, 12491, 12501, 12413, 12493, 12498 -9189 , 12406, 12405, 12499, 12496, 12412, 12419, 12503, 12500 -9190 , 12499, 12405, 12406, 12496, 12504, 12420, 12413, 12501 -9191 , 12405, 12416, 12502, 12499, 12419, 12426, 12506, 12503 -9192 , 12502, 12416, 12405, 12499, 12507, 12427, 12420, 12504 -9193 , 12416, 12423, 12505, 12502, 12426, 12429, 12509, 12506 -9194 , 12505, 12423, 12416, 12502, 12510, 12430, 12427, 12507 -9195 , 12423, 12428, 12508, 12505, 12429, 12432, 12512, 12509 -9196 , 12508, 12428, 12423, 12505, 12513, 12433, 12430, 12510 -9197 , 12428, 12431, 12511, 12508, 12432, 12435, 12515, 12512 -9198 , 12511, 12431, 12428, 12508, 12516, 12436, 12433, 12513 -9199 , 12431, 12434, 12514, 12511, 12435, 12438, 12518, 12515 -9200 , 12514, 12434, 12431, 12511, 12519, 12439, 12436, 12516 -9201 , 12434, 12437, 12517, 12514, 12438, 12441, 12521, 12518 -9202 , 12517, 12437, 12434, 12514, 12522, 12442, 12439, 12519 -9203 , 12437, 12440, 12520, 12517, 12441, 12444, 12527, 12521 -9204 , 12520, 12440, 12437, 12517, 12528, 12445, 12442, 12522 -9205 , 12451, 12523, 12466, 12452, 12524, 12596, 12548, 12464 -9206 , 12466, 12523, 12451, 12452, 12390, 12599, 12525, 12386 -9207 , 12440, 12443, 12526, 12520, 12444, 12447, 12530, 12527 -9208 , 12526, 12443, 12440, 12520, 12531, 12448, 12445, 12528 -9209 , 12443, 12446, 12529, 12526, 12447, 12263, 12533, 12530 -9210 , 12529, 12446, 12443, 12526, 12534, 12449, 12448, 12531 -9211 , 12446, 12256, 12532, 12529, 12263, 12245, 12536, 12533 -9212 , 12532, 12256, 12446, 12529, 12537, 12450, 12449, 12534 -9213 , 12256, 12328, 12535, 12532, 12245, 12252, 12539, 12536 -9214 , 12535, 12328, 12256, 12532, 12540, 12455, 12450, 12537 -9215 , 12328, 12421, 12538, 12535, 12252, 12326, 12542, 12539 -9216 , 12538, 12421, 12328, 12535, 12543, 12458, 12455, 12540 -9217 , 12421, 12456, 12541, 12538, 12326, 12422, 12545, 12542 -9218 , 12541, 12456, 12421, 12538, 12546, 12462, 12458, 12543 -9219 , 12456, 12460, 12544, 12541, 12422, 12464, 12550, 12545 -9220 , 12544, 12460, 12456, 12541, 12551, 12465, 12462, 12546 -9221 , 12460, 12463, 12547, 12544, 12464, 12548, 12556, 12550 -9222 , 12547, 12463, 12460, 12544, 12557, 12549, 12465, 12551 -9223 , 12463, 12552, 12553, 12547, 12548, 12554, 12559, 12556 -9224 , 12553, 12552, 12463, 12547, 12560, 12555, 12549, 12557 -9225 , 12552, 12554, 12548, 12463, 12391, 12469, 12466, 12388 -9226 , 12555, 12552, 12463, 12549, 12470, 12391, 12388, 12467 -9227 , 12552, 12471, 12558, 12553, 12554, 12561, 12645, 12559 -9228 , 12558, 12471, 12552, 12553, 12644, 12562, 12555, 12560 -9229 , 12552, 12554, 12469, 12391, 12471, 12561, 12472, 12468 -9230 , 12471, 12468, 12391, 12552, 12562, 12473, 12470, 12555 -9231 , 7124, 7132, 7133, 7125, 12471, 12563, 12565, 12562 -9232 , 7123, 7134, 7132, 7124, 12561, 12566, 12563, 12471 -9233 , 7132, 7135, 7136, 7133, 12563, 12564, 12652, 12565 -9234 , 7134, 7137, 7135, 7132, 12566, 12651, 12564, 12563 -9235 , 7138, 7129, 7131, 7139, 12567, 12475, 12571, 12569 -9236 , 7140, 7130, 7129, 7138, 12570, 12572, 12475, 12567 -9237 , 7139, 7141, 7142, 7138, 12569, 12661, 12568, 12567 -9238 , 7138, 7142, 7143, 7140, 12567, 12568, 12662, 12570 -9239 , 12573, 12483, 12488, 12574, 12581, 12490, 12575, 12578 -9240 , 12488, 12483, 12573, 12574, 12576, 12489, 12582, 12579 -9241 , 12574, 12488, 12475, 12577, 12578, 12575, 12571, 12665 -9242 , 12475, 12488, 12574, 12577, 12572, 12576, 12579, 12666 -9243 , 12395, 12488, 12575, 12479, 12474, 12475, 12571, 12477 -9244 , 12478, 12576, 12488, 12395, 12476, 12572, 12475, 12474 -9245 , 12580, 12482, 12483, 12573, 12584, 12495, 12490, 12581 -9246 , 12483, 12482, 12580, 12573, 12489, 12494, 12585, 12582 -9247 , 12583, 12491, 12482, 12580, 12587, 12498, 12495, 12584 -9248 , 12482, 12491, 12583, 12580, 12494, 12497, 12588, 12585 -9249 , 12586, 12496, 12491, 12583, 12590, 12501, 12498, 12587 -9250 , 12491, 12496, 12586, 12583, 12497, 12500, 12591, 12588 -9251 , 12589, 12499, 12496, 12586, 12593, 12504, 12501, 12590 -9252 , 12496, 12499, 12589, 12586, 12500, 12503, 12594, 12591 -9253 , 12592, 12502, 12499, 12589, 12597, 12507, 12504, 12593 -9254 , 12499, 12502, 12592, 12589, 12503, 12506, 12598, 12594 -9255 , 12595, 12505, 12502, 12592, 12602, 12510, 12507, 12597 -9256 , 12502, 12505, 12595, 12592, 12506, 12509, 12603, 12598 -9257 , 12548, 12596, 12523, 12466, 12554, 13394, 12600, 12469 -9258 , 12466, 12523, 12599, 12390, 12469, 12600, 15493, 12392 -9259 , 12601, 12508, 12505, 12595, 12605, 12513, 12510, 12602 -9260 , 12505, 12508, 12601, 12595, 12509, 12512, 12606, 12603 -9261 , 12604, 12511, 12508, 12601, 12608, 12516, 12513, 12605 -9262 , 12508, 12511, 12604, 12601, 12512, 12515, 12609, 12606 -9263 , 12607, 12514, 12511, 12604, 12611, 12519, 12516, 12608 -9264 , 12511, 12514, 12607, 12604, 12515, 12518, 12612, 12609 -9265 , 12610, 12517, 12514, 12607, 12614, 12522, 12519, 12611 -9266 , 12514, 12517, 12610, 12607, 12518, 12521, 12615, 12612 -9267 , 12613, 12520, 12517, 12610, 12617, 12528, 12522, 12614 -9268 , 12517, 12520, 12613, 12610, 12521, 12527, 12618, 12615 -9269 , 12616, 12526, 12520, 12613, 12620, 12531, 12528, 12617 -9270 , 12520, 12526, 12616, 12613, 12527, 12530, 12621, 12618 -9271 , 12619, 12529, 12526, 12616, 12623, 12534, 12531, 12620 -9272 , 12526, 12529, 12619, 12616, 12530, 12533, 12624, 12621 -9273 , 12622, 12532, 12529, 12619, 12626, 12537, 12534, 12623 -9274 , 12529, 12532, 12622, 12619, 12533, 12536, 12627, 12624 -9275 , 12625, 12535, 12532, 12622, 12629, 12540, 12537, 12626 -9276 , 12532, 12535, 12625, 12622, 12536, 12539, 12630, 12627 -9277 , 12628, 12538, 12535, 12625, 12632, 12543, 12540, 12629 -9278 , 12535, 12538, 12628, 12625, 12539, 12542, 12633, 12630 -9279 , 12631, 12541, 12538, 12628, 12635, 12546, 12543, 12632 -9280 , 12538, 12541, 12631, 12628, 12542, 12545, 12636, 12633 -9281 , 12634, 12544, 12541, 12631, 12638, 12551, 12546, 12635 -9282 , 12541, 12544, 12634, 12631, 12545, 12550, 12639, 12636 -9283 , 12637, 12547, 12544, 12634, 12641, 12557, 12551, 12638 -9284 , 12544, 12547, 12637, 12634, 12550, 12556, 12642, 12639 -9285 , 12469, 12392, 12390, 12466, 12391, 12387, 12384, 12388 -9286 , 12640, 12553, 12547, 12637, 12646, 12560, 12557, 12641 -9287 , 12547, 12553, 12640, 12637, 12556, 12559, 12647, 12642 -9288 , 12643, 12558, 12553, 12640, 12649, 12644, 12560, 12646 -9289 , 12553, 12558, 12643, 12640, 12559, 12645, 12650, 12647 -9290 , 12558, 12564, 12648, 12643, 12645, 12651, 12739, 12650 -9291 , 12648, 12564, 12558, 12643, 12738, 12652, 12644, 12649 -9292 , 12558, 12645, 12561, 12471, 12564, 12651, 12566, 12563 -9293 , 12564, 12563, 12471, 12558, 12652, 12565, 12562, 12644 -9294 , 7135, 7144, 7145, 7136, 12564, 12653, 12655, 12652 -9295 , 7137, 7146, 7144, 7135, 12651, 12656, 12653, 12564 -9296 , 7144, 7147, 7148, 7145, 12653, 12654, 12745, 12655 -9297 , 7146, 7149, 7147, 7144, 12656, 12746, 12654, 12653 -9298 , 7150, 7142, 7141, 7151, 12657, 12568, 12661, 12659 -9299 , 7152, 7143, 7142, 7150, 12660, 12662, 12568, 12657 -9300 , 7151, 7153, 7154, 7150, 12659, 12755, 12658, 12657 -9301 , 7150, 7154, 7155, 7152, 12657, 12658, 12756, 12660 -9302 , 7156, 7157, 7120, 7108, 12600, 12727, 12472, 12469 -9303 , 7156, 12600, 12469, 7108, 7158, 15493, 12392, 7106 -9304 , 12663, 12574, 12577, 12664, 12671, 12578, 12665, 12668 -9305 , 12577, 12574, 12663, 12664, 12666, 12579, 12672, 12669 -9306 , 12664, 12577, 12568, 12667, 12668, 12665, 12661, 12759 -9307 , 12568, 12577, 12664, 12667, 12662, 12666, 12669, 12760 -9308 , 12475, 12577, 12665, 12571, 12567, 12568, 12661, 12569 -9309 , 12572, 12666, 12577, 12475, 12570, 12662, 12568, 12567 -9310 , 12670, 12573, 12574, 12663, 12674, 12581, 12578, 12671 -9311 , 12574, 12573, 12670, 12663, 12579, 12582, 12675, 12672 -9312 , 12673, 12580, 12573, 12670, 12677, 12584, 12581, 12674 -9313 , 12573, 12580, 12673, 12670, 12582, 12585, 12678, 12675 -9314 , 12676, 12583, 12580, 12673, 12680, 12587, 12584, 12677 -9315 , 12580, 12583, 12676, 12673, 12585, 12588, 12681, 12678 -9316 , 12679, 12586, 12583, 12676, 12683, 12590, 12587, 12680 -9317 , 12583, 12586, 12679, 12676, 12588, 12591, 12684, 12681 -9318 , 12682, 12589, 12586, 12679, 12686, 12593, 12590, 12683 -9319 , 12586, 12589, 12682, 12679, 12591, 12594, 12687, 12684 -9320 , 12685, 12592, 12589, 12682, 12689, 12597, 12593, 12686 -9321 , 12589, 12592, 12685, 12682, 12594, 12598, 12690, 12687 -9322 , 12688, 12595, 12592, 12685, 12692, 12602, 12597, 12689 -9323 , 12592, 12595, 12688, 12685, 12598, 12603, 12693, 12690 -9324 , 12691, 12601, 12595, 12688, 12695, 12605, 12602, 12692 -9325 , 12595, 12601, 12691, 12688, 12603, 12606, 12696, 12693 -9326 , 12694, 12604, 12601, 12691, 12698, 12608, 12605, 12695 -9327 , 12601, 12604, 12694, 12691, 12606, 12609, 12699, 12696 -9328 , 12697, 12607, 12604, 12694, 12701, 12611, 12608, 12698 -9329 , 12604, 12607, 12697, 12694, 12609, 12612, 12702, 12699 -9330 , 12700, 12610, 12607, 12697, 12704, 12614, 12611, 12701 -9331 , 12607, 12610, 12700, 12697, 12612, 12615, 12705, 12702 -9332 , 12703, 12613, 12610, 12700, 12707, 12617, 12614, 12704 -9333 , 12610, 12613, 12703, 12700, 12615, 12618, 12708, 12705 -9334 , 12706, 12616, 12613, 12703, 12710, 12620, 12617, 12707 -9335 , 12613, 12616, 12706, 12703, 12618, 12621, 12711, 12708 -9336 , 12709, 12619, 12616, 12706, 12713, 12623, 12620, 12710 -9337 , 12616, 12619, 12709, 12706, 12621, 12624, 12714, 12711 -9338 , 12712, 12622, 12619, 12709, 12716, 12626, 12623, 12713 -9339 , 12619, 12622, 12712, 12709, 12624, 12627, 12717, 12714 -9340 , 12715, 12625, 12622, 12712, 12719, 12629, 12626, 12716 -9341 , 12622, 12625, 12715, 12712, 12627, 12630, 12720, 12717 -9342 , 12718, 12628, 12625, 12715, 12722, 12632, 12629, 12719 -9343 , 12625, 12628, 12718, 12715, 12630, 12633, 12723, 12720 -9344 , 12721, 12631, 12628, 12718, 12725, 12635, 12632, 12722 -9345 , 12628, 12631, 12721, 12718, 12633, 12636, 12726, 12723 -9346 , 12724, 12634, 12631, 12721, 12729, 12638, 12635, 12725 -9347 , 12631, 12634, 12724, 12721, 12636, 12639, 12730, 12726 -9348 , 7157, 7159, 7123, 7120, 12727, 13420, 12561, 12472 -9349 , 12728, 12637, 12634, 12724, 12732, 12641, 12638, 12729 -9350 , 12634, 12637, 12728, 12724, 12639, 12642, 12733, 12730 -9351 , 12731, 12640, 12637, 12728, 12735, 12646, 12641, 12732 -9352 , 12637, 12640, 12731, 12728, 12642, 12647, 12736, 12733 -9353 , 12734, 12643, 12640, 12731, 12740, 12649, 12646, 12735 -9354 , 12640, 12643, 12734, 12731, 12647, 12650, 12741, 12736 -9355 , 12737, 12648, 12643, 12734, 12743, 12738, 12649, 12740 -9356 , 12643, 12648, 12737, 12734, 12650, 12739, 12744, 12741 -9357 , 12742, 12654, 12648, 12737, 12834, 12745, 12738, 12743 -9358 , 12648, 12654, 12742, 12737, 12739, 12746, 12835, 12744 -9359 , 12738, 12648, 12564, 12652, 12745, 12654, 12653, 12655 -9360 , 12648, 12739, 12651, 12564, 12654, 12746, 12656, 12653 -9361 , 7147, 7160, 7161, 7148, 12654, 12747, 12749, 12745 -9362 , 7149, 7162, 7160, 7147, 12746, 12750, 12747, 12654 -9363 , 7160, 7163, 7164, 7161, 12747, 12748, 12842, 12749 -9364 , 7162, 7165, 7163, 7160, 12750, 12841, 12748, 12747 -9365 , 7166, 7154, 7153, 7167, 12751, 12658, 12755, 12753 -9366 , 7168, 7155, 7154, 7166, 12754, 12756, 12658, 12751 -9367 , 7167, 7169, 7170, 7166, 12753, 12844, 12752, 12751 -9368 , 7166, 7170, 7171, 7168, 12751, 12752, 12845, 12754 -9369 , 12757, 12664, 12667, 12758, 12765, 12668, 12759, 12762 -9370 , 12667, 12664, 12757, 12758, 12760, 12669, 12766, 12763 -9371 , 12758, 12667, 12658, 12761, 12762, 12759, 12755, 12848 -9372 , 12658, 12667, 12758, 12761, 12756, 12760, 12763, 12849 -9373 , 12568, 12667, 12759, 12661, 12657, 12658, 12755, 12659 -9374 , 12662, 12760, 12667, 12568, 12660, 12756, 12658, 12657 -9375 , 12764, 12663, 12664, 12757, 12768, 12671, 12668, 12765 -9376 , 12664, 12663, 12764, 12757, 12669, 12672, 12769, 12766 -9377 , 12767, 12670, 12663, 12764, 12771, 12674, 12671, 12768 -9378 , 12663, 12670, 12767, 12764, 12672, 12675, 12772, 12769 -9379 , 12770, 12673, 12670, 12767, 12774, 12677, 12674, 12771 -9380 , 12670, 12673, 12770, 12767, 12675, 12678, 12775, 12772 -9381 , 12773, 12676, 12673, 12770, 12777, 12680, 12677, 12774 -9382 , 12673, 12676, 12773, 12770, 12678, 12681, 12778, 12775 -9383 , 12776, 12679, 12676, 12773, 12780, 12683, 12680, 12777 -9384 , 12676, 12679, 12776, 12773, 12681, 12684, 10900, 12778 -9385 , 12779, 12682, 12679, 12776, 12782, 12686, 12683, 12780 -9386 , 12679, 12682, 12779, 12776, 12684, 12687, 10901, 10900 -9387 , 12781, 12685, 12682, 12779, 12784, 12689, 12686, 12782 -9388 , 12682, 12685, 12781, 12779, 12687, 12690, 10907, 10901 -9389 , 12783, 12688, 12685, 12781, 12786, 12692, 12689, 12784 -9390 , 12685, 12688, 12783, 12781, 12690, 12693, 10908, 10907 -9391 , 12785, 12691, 12688, 12783, 12788, 12695, 12692, 12786 -9392 , 12688, 12691, 12785, 12783, 12693, 12696, 12789, 10908 -9393 , 12787, 12694, 12691, 12785, 12792, 12698, 12695, 12788 -9394 , 12691, 12694, 12787, 12785, 12696, 12699, 12793, 12789 -9395 , 7172, 7173, 7116, 7126, 12790, 12855, 12478, 12476 -9396 , 7126, 7130, 7174, 7172, 12476, 12572, 13507, 12790 -9397 , 12791, 12697, 12694, 12787, 12795, 12701, 12698, 12792 -9398 , 12694, 12697, 12791, 12787, 12699, 12702, 12796, 12793 -9399 , 12794, 12700, 12697, 12791, 12798, 12704, 12701, 12795 -9400 , 12697, 12700, 12794, 12791, 12702, 12705, 12799, 12796 -9401 , 12797, 12703, 12700, 12794, 12801, 12707, 12704, 12798 -9402 , 12700, 12703, 12797, 12794, 12705, 12708, 12802, 12799 -9403 , 12800, 12706, 12703, 12797, 12804, 12710, 12707, 12801 -9404 , 12703, 12706, 12800, 12797, 12708, 12711, 12805, 12802 -9405 , 12803, 12709, 12706, 12800, 12807, 12713, 12710, 12804 -9406 , 12706, 12709, 12803, 12800, 12711, 12714, 12808, 12805 -9407 , 12806, 12712, 12709, 12803, 12810, 12716, 12713, 12807 -9408 , 12709, 12712, 12806, 12803, 12714, 12717, 12811, 12808 -9409 , 12809, 12715, 12712, 12806, 12813, 12719, 12716, 12810 -9410 , 12712, 12715, 12809, 12806, 12717, 12720, 12814, 12811 -9411 , 12812, 12718, 12715, 12809, 12816, 12722, 12719, 12813 -9412 , 12715, 12718, 12812, 12809, 12720, 12723, 12817, 12814 -9413 , 12815, 12721, 12718, 12812, 12819, 12725, 12722, 12816 -9414 , 12718, 12721, 12815, 12812, 12723, 12726, 12820, 12817 -9415 , 12818, 12724, 12721, 12815, 12822, 12729, 12725, 12819 -9416 , 12721, 12724, 12818, 12815, 12726, 12730, 12823, 12820 -9417 , 12821, 12728, 12724, 12818, 12825, 12732, 12729, 12822 -9418 , 12724, 12728, 12821, 12818, 12730, 12733, 12826, 12823 -9419 , 12824, 12731, 12728, 12821, 12828, 12735, 12732, 12825 -9420 , 12728, 12731, 12824, 12821, 12733, 12736, 12829, 12826 -9421 , 12827, 12734, 12731, 12824, 12831, 12740, 12735, 12828 -9422 , 12731, 12734, 12827, 12824, 12736, 12741, 12832, 12829 -9423 , 12830, 12737, 12734, 12827, 12836, 12743, 12740, 12831 -9424 , 12734, 12737, 12830, 12827, 12741, 12744, 12837, 12832 -9425 , 12833, 12742, 12737, 12830, 12838, 12834, 12743, 12836 -9426 , 12737, 12742, 12833, 12830, 12744, 12835, 12839, 12837 -9427 , 12838, 12833, 12742, 12834, 12919, 12840, 12748, 12842 -9428 , 12833, 12839, 12835, 12742, 12840, 12920, 12841, 12748 -9429 , 12742, 12835, 12746, 12654, 12748, 12841, 12750, 12747 -9430 , 12748, 12747, 12654, 12742, 12842, 12749, 12745, 12834 -9431 , 7163, 7175, 7176, 7164, 12748, 12840, 12919, 12842 -9432 , 7165, 7177, 7175, 7163, 12841, 12920, 12840, 12748 -9433 , 7169, 7178, 7179, 7170, 12844, 12925, 12843, 12752 -9434 , 7170, 7179, 7180, 7171, 12752, 12843, 12926, 12845 -9435 , 12846, 12758, 12761, 12847, 12853, 12762, 12848, 12851 -9436 , 12761, 12758, 12846, 12847, 12849, 12763, 12854, 12850 -9437 , 12756, 12849, 12761, 12658, 12754, 12845, 12752, 12751 -9438 , 12845, 12849, 12761, 12752, 12926, 12850, 12847, 12843 -9439 , 12761, 12658, 12751, 12752, 12848, 12755, 12753, 12844 -9440 , 12847, 12761, 12752, 12843, 12851, 12848, 12844, 12925 -9441 , 12852, 12757, 12758, 12846, 12857, 12765, 12762, 12853 -9442 , 12758, 12757, 12852, 12846, 12763, 12766, 12858, 12854 -9443 , 7116, 12478, 12855, 7173, 7113, 12397, 15496, 7181 -9444 , 12856, 12764, 12757, 12852, 12860, 12768, 12765, 12857 -9445 , 12757, 12764, 12856, 12852, 12766, 12769, 12861, 12858 -9446 , 12859, 12767, 12764, 12856, 12863, 12771, 12768, 12860 -9447 , 12764, 12767, 12859, 12856, 12769, 12772, 12864, 12861 -9448 , 12862, 12770, 12767, 12859, 12866, 12774, 12771, 12863 -9449 , 12767, 12770, 12862, 12859, 12772, 12775, 12867, 12864 -9450 , 12865, 12773, 12770, 12862, 12869, 12777, 12774, 12866 -9451 , 12770, 12773, 12865, 12862, 12775, 12778, 10910, 12867 -9452 , 12868, 12776, 12773, 12865, 12871, 12780, 12777, 12869 -9453 , 12773, 12776, 12868, 12865, 12778, 10900, 10899, 10910 -9454 , 12870, 12779, 12776, 12868, 12872, 12782, 12780, 12871 -9455 , 12776, 12779, 12870, 12868, 10900, 10901, 10902, 10899 -9456 , 10665, 12781, 12779, 12870, 12873, 12784, 12782, 12872 -9457 , 12779, 12781, 10665, 12870, 10901, 10907, 10669, 10902 -9458 , 10666, 12783, 12781, 10665, 10672, 12786, 12784, 12873 -9459 , 12781, 12783, 10666, 10665, 10907, 10908, 10670, 10669 -9460 , 10671, 12785, 12783, 10666, 10675, 12788, 12786, 10672 -9461 , 12783, 12785, 10671, 10666, 10908, 12789, 10676, 10670 -9462 , 10674, 12787, 12785, 10671, 10678, 12792, 12788, 10675 -9463 , 12785, 12787, 10674, 10671, 12789, 12793, 10679, 10676 -9464 , 10677, 12791, 12787, 10674, 10681, 12795, 12792, 10678 -9465 , 12787, 12791, 10677, 10674, 12793, 12796, 10682, 10679 -9466 , 10680, 12794, 12791, 10677, 12875, 12798, 12795, 10681 -9467 , 12791, 12794, 10680, 10677, 12796, 12799, 10770, 10682 -9468 , 12874, 12797, 12794, 10680, 12877, 12801, 12798, 12875 -9469 , 12794, 12797, 12874, 10680, 12799, 12802, 12878, 10770 -9470 , 12876, 12800, 12797, 12874, 12880, 12804, 12801, 12877 -9471 , 12797, 12800, 12876, 12874, 12802, 12805, 12881, 12878 -9472 , 12879, 12803, 12800, 12876, 12883, 12807, 12804, 12880 -9473 , 12800, 12803, 12879, 12876, 12805, 12808, 12884, 12881 -9474 , 12882, 12806, 12803, 12879, 12886, 12810, 12807, 12883 -9475 , 12803, 12806, 12882, 12879, 12808, 12811, 12887, 12884 -9476 , 12885, 12809, 12806, 12882, 12889, 12813, 12810, 12886 -9477 , 12806, 12809, 12885, 12882, 12811, 12814, 12890, 12887 -9478 , 12888, 12812, 12809, 12885, 12892, 12816, 12813, 12889 -9479 , 12809, 12812, 12888, 12885, 12814, 12817, 12893, 12890 -9480 , 12891, 12815, 12812, 12888, 12895, 12819, 12816, 12892 -9481 , 12812, 12815, 12891, 12888, 12817, 12820, 12896, 12893 -9482 , 12894, 12818, 12815, 12891, 12902, 12822, 12819, 12895 -9483 , 12815, 12818, 12894, 12891, 12820, 12823, 12903, 12896 -9484 , 12897, 12898, 12485, 12484, 12899, 12949, 12494, 12489 -9485 , 12485, 12898, 12897, 12484, 12401, 12950, 12900, 12399 -9486 , 12897, 12899, 12489, 12484, 12855, 13525, 12576, 12478 -9487 , 12900, 12897, 12484, 12399, 15496, 12855, 12478, 12397 -9488 , 12901, 12821, 12818, 12894, 12905, 12825, 12822, 12902 -9489 , 12818, 12821, 12901, 12894, 12823, 12826, 12906, 12903 -9490 , 12904, 12824, 12821, 12901, 12908, 12828, 12825, 12905 -9491 , 12821, 12824, 12904, 12901, 12826, 12829, 12909, 12906 -9492 , 12907, 12827, 12824, 12904, 12911, 12831, 12828, 12908 -9493 , 12824, 12827, 12907, 12904, 12829, 12832, 12912, 12909 -9494 , 12910, 12830, 12827, 12907, 12914, 12836, 12831, 12911 -9495 , 12827, 12830, 12910, 12907, 12832, 12837, 12915, 12912 -9496 , 12913, 12833, 12830, 12910, 12916, 12838, 12836, 12914 -9497 , 12830, 12833, 12913, 12910, 12837, 12839, 12917, 12915 -9498 , 12916, 12913, 12833, 12838, 12981, 12918, 12840, 12919 -9499 , 12913, 12917, 12839, 12833, 12918, 12982, 12920, 12840 -9500 , 7182, 7183, 7184, 7175, 12921, 12922, 12918, 12840 -9501 , 7177, 7185, 7182, 7175, 12920, 12923, 12921, 12840 -9502 , 7175, 7184, 7186, 7176, 12840, 12918, 12981, 12919 -9503 , 7185, 7187, 7183, 7182, 12923, 12985, 12922, 12921 -9504 , 7188, 7189, 7190, 7179, 12847, 12927, 12924, 12843 -9505 , 7178, 7191, 7188, 7179, 12925, 12851, 12847, 12843 -9506 , 7179, 7190, 7192, 7180, 12843, 12924, 12991, 12926 -9507 , 7191, 7193, 7189, 7188, 12851, 12992, 12927, 12847 -9508 , 12928, 12852, 12846, 12929, 12933, 12857, 12853, 12930 -9509 , 12846, 12852, 12928, 12929, 12854, 12858, 12934, 12931 -9510 , 12846, 12929, 12930, 12853, 12847, 12927, 12992, 12851 -9511 , 12854, 12931, 12929, 12846, 12850, 12998, 12927, 12847 -9512 , 12932, 12856, 12852, 12928, 12937, 12860, 12857, 12933 -9513 , 12852, 12856, 12932, 12928, 12858, 12861, 12938, 12934 -9514 , 7041, 7194, 7057, 7042, 12935, 13285, 12282, 12278 -9515 , 12936, 12859, 12856, 12932, 12940, 12863, 12860, 12937 -9516 , 12856, 12859, 12936, 12932, 12861, 12864, 12941, 12938 -9517 , 12939, 12862, 12859, 12936, 12943, 12866, 12863, 12940 -9518 , 12859, 12862, 12939, 12936, 12864, 12867, 12944, 12941 -9519 , 12942, 12865, 12862, 12939, 12946, 12869, 12866, 12943 -9520 , 12862, 12865, 12942, 12939, 12867, 10910, 10912, 12944 -9521 , 12945, 12868, 12865, 12942, 12947, 12871, 12869, 12946 -9522 , 12865, 12868, 12945, 12942, 10910, 10899, 10911, 10912 -9523 , 10683, 12870, 12868, 12945, 10687, 12872, 12871, 12947 -9524 , 12868, 12870, 10683, 12945, 10899, 10902, 10772, 10911 -9525 , 10668, 10665, 12870, 10683, 10688, 12873, 12872, 10687 -9526 , 12870, 10665, 10668, 10683, 10902, 10669, 10689, 10772 -9527 , 12898, 12948, 12492, 12485, 12949, 12989, 12497, 12494 -9528 , 12492, 12948, 12898, 12485, 12414, 12990, 12950, 12401 -9529 , 10512, 12874, 10680, 10447, 10513, 12877, 12875, 10449 -9530 , 10680, 12874, 10512, 10447, 10770, 12878, 10694, 10691 -9531 , 10692, 12876, 12874, 10512, 10697, 12880, 12877, 10513 -9532 , 12874, 12876, 10692, 10512, 12878, 12881, 10773, 10694 -9533 , 10698, 12879, 12876, 10692, 10701, 12883, 12880, 10697 -9534 , 12876, 12879, 10698, 10692, 12881, 12884, 10963, 10773 -9535 , 12951, 12882, 12879, 10698, 10711, 12886, 12883, 10701 -9536 , 12879, 12882, 12951, 10698, 12884, 12887, 12953, 10963 -9537 , 12952, 12885, 12882, 12951, 12955, 12889, 12886, 10711 -9538 , 12882, 12885, 12952, 12951, 12887, 12890, 12956, 12953 -9539 , 12954, 12888, 12885, 12952, 12958, 12892, 12889, 12955 -9540 , 12885, 12888, 12954, 12952, 12890, 12893, 12959, 12956 -9541 , 12957, 12891, 12888, 12954, 12961, 12895, 12892, 12958 -9542 , 12888, 12891, 12957, 12954, 12893, 12896, 12962, 12959 -9543 , 12960, 12894, 12891, 12957, 12964, 12902, 12895, 12961 -9544 , 12891, 12894, 12960, 12957, 12896, 12903, 12965, 12962 -9545 , 12963, 12901, 12894, 12960, 12967, 12905, 12902, 12964 -9546 , 12894, 12901, 12963, 12960, 12903, 12906, 12968, 12965 -9547 , 12966, 12904, 12901, 12963, 12970, 12908, 12905, 12967 -9548 , 12901, 12904, 12966, 12963, 12906, 12909, 12971, 12968 -9549 , 12969, 12907, 12904, 12966, 12973, 12911, 12908, 12970 -9550 , 12904, 12907, 12969, 12966, 12909, 12912, 12974, 12971 -9551 , 12972, 12910, 12907, 12969, 12976, 12914, 12911, 12973 -9552 , 12907, 12910, 12972, 12969, 12912, 12915, 12977, 12974 -9553 , 12975, 12913, 12910, 12972, 12979, 12916, 12914, 12976 -9554 , 12910, 12913, 12975, 12972, 12915, 12917, 12980, 12977 -9555 , 12978, 12918, 12913, 12975, 13043, 12981, 12916, 12979 -9556 , 12913, 12918, 12978, 12975, 12917, 12982, 13044, 12980 -9557 , 7184, 7183, 7195, 7186, 12918, 12922, 12984, 12981 -9558 , 7183, 7196, 7197, 7195, 12922, 12983, 13051, 12984 -9559 , 7187, 7198, 7196, 7183, 12985, 13050, 12983, 12922 -9560 , 7190, 7189, 7193, 7199, 12924, 12927, 12992, 12987 -9561 , 7199, 7200, 7201, 7190, 12987, 13053, 12986, 12924 -9562 , 7190, 7201, 7202, 7192, 12924, 12986, 13054, 12991 -9563 , 12948, 12988, 12412, 12492, 12989, 13019, 12500, 12497 -9564 , 12412, 12988, 12948, 12492, 12409, 13020, 12990, 12414 -9565 , 12993, 12928, 12929, 12994, 13000, 12933, 12930, 12996 -9566 , 12929, 12928, 12993, 12994, 12931, 12934, 13001, 12997 -9567 , 12994, 12929, 12927, 12995, 12996, 12930, 12992, 13057 -9568 , 12927, 12929, 12994, 12995, 12998, 12931, 12997, 13058 -9569 , 12999, 12932, 12928, 12993, 13003, 12937, 12933, 13000 -9570 , 12928, 12932, 12999, 12993, 12934, 12938, 13004, 13001 -9571 , 13002, 12936, 12932, 12999, 13006, 12940, 12937, 13003 -9572 , 12932, 12936, 13002, 12999, 12938, 12941, 13007, 13004 -9573 , 13005, 12939, 12936, 13002, 13009, 12943, 12940, 13006 -9574 , 12936, 12939, 13005, 13002, 12941, 12944, 13010, 13007 -9575 , 13008, 12942, 12939, 13005, 13012, 12946, 12943, 13009 -9576 , 12939, 12942, 13008, 13005, 12944, 10912, 10941, 13010 -9577 , 13011, 12945, 12942, 13008, 13013, 12947, 12946, 13012 -9578 , 12942, 12945, 13011, 13008, 10912, 10911, 10932, 10941 -9579 , 12945, 10683, 10687, 12947, 13011, 10685, 10686, 13013 -9580 , 10773, 10963, 10698, 10692, 10703, 10891, 10699, 10693 -9581 , 10961, 12951, 10698, 10699, 10712, 10711, 10701, 10700 -9582 , 10698, 12951, 10961, 10699, 10963, 12953, 10948, 10891 -9583 , 13014, 12952, 12951, 10961, 13016, 12955, 10711, 10712 -9584 , 12951, 12952, 13014, 10961, 12953, 12956, 13017, 10948 -9585 , 13015, 12954, 12952, 13014, 13022, 12958, 12955, 13016 -9586 , 12952, 12954, 13015, 13014, 12956, 12959, 13023, 13017 -9587 , 12988, 13018, 12419, 12412, 13019, 13080, 12503, 12500 -9588 , 12419, 13018, 12988, 12412, 12410, 13081, 13020, 12409 -9589 , 13021, 12957, 12954, 13015, 13025, 12961, 12958, 13022 -9590 , 12954, 12957, 13021, 13015, 12959, 12962, 13026, 13023 -9591 , 13024, 12960, 12957, 13021, 13028, 12964, 12961, 13025 -9592 , 12957, 12960, 13024, 13021, 12962, 12965, 13029, 13026 -9593 , 13027, 12963, 12960, 13024, 13031, 12967, 12964, 13028 -9594 , 12960, 12963, 13027, 13024, 12965, 12968, 13032, 13029 -9595 , 13030, 12966, 12963, 13027, 13034, 12970, 12967, 13031 -9596 , 12963, 12966, 13030, 13027, 12968, 12971, 13035, 13032 -9597 , 13033, 12969, 12966, 13030, 13037, 12973, 12970, 13034 -9598 , 12966, 12969, 13033, 13030, 12971, 12974, 13038, 13035 -9599 , 13036, 12972, 12969, 13033, 13040, 12976, 12973, 13037 -9600 , 12969, 12972, 13036, 13033, 12974, 12977, 13041, 13038 -9601 , 13039, 12975, 12972, 13036, 13045, 12979, 12976, 13040 -9602 , 12972, 12975, 13039, 13036, 12977, 12980, 13046, 13041 -9603 , 13042, 12978, 12975, 13039, 13047, 13043, 12979, 13045 -9604 , 12975, 12978, 13042, 13039, 12980, 13044, 13049, 13046 -9605 , 13047, 13042, 12978, 13043, 13112, 13048, 12983, 13051 -9606 , 12978, 12983, 13048, 13042, 13044, 13050, 13116, 13049 -9607 , 12978, 13044, 12982, 12918, 12983, 13050, 12985, 12922 -9608 , 12983, 12922, 12918, 12978, 13051, 12984, 12981, 13043 -9609 , 7196, 7203, 7204, 7197, 12983, 13048, 13112, 13051 -9610 , 7196, 7203, 13048, 12983, 7198, 7205, 13116, 13050 -9611 , 7200, 7206, 7207, 7201, 13053, 13118, 13052, 12986 -9612 , 13052, 7207, 7201, 12986, 13119, 7208, 7202, 13054 -9613 , 13055, 12994, 12995, 13056, 13062, 12996, 13057, 13059 -9614 , 12995, 12994, 13055, 13056, 13058, 12997, 13063, 13060 -9615 , 12927, 12995, 13057, 12992, 12924, 12986, 13053, 12987 -9616 , 12986, 12995, 13057, 13053, 13052, 13056, 13059, 13118 -9617 , 12995, 13058, 13054, 12986, 12927, 12998, 12991, 12924 -9618 , 13054, 13058, 12995, 12986, 13119, 13060, 13056, 13052 -9619 , 13061, 12993, 12994, 13055, 13065, 13000, 12996, 13062 -9620 , 12994, 12993, 13061, 13055, 12997, 13001, 13066, 13063 -9621 , 13064, 12999, 12993, 13061, 13068, 13003, 13000, 13065 -9622 , 12993, 12999, 13064, 13061, 13001, 13004, 13069, 13066 -9623 , 13067, 13002, 12999, 13064, 13071, 13006, 13003, 13068 -9624 , 12999, 13002, 13067, 13064, 13004, 13007, 13072, 13069 -9625 , 13070, 13005, 13002, 13067, 13074, 13009, 13006, 13071 -9626 , 13002, 13005, 13070, 13067, 13007, 13010, 13075, 13072 -9627 , 13073, 13008, 13005, 13070, 13077, 13012, 13009, 13074 -9628 , 13005, 13008, 13073, 13070, 13010, 10941, 10950, 13075 -9629 , 13076, 13011, 13008, 13073, 13078, 13013, 13012, 13077 -9630 , 13008, 13011, 13076, 13073, 10941, 10932, 10943, 10950 -9631 , 13078, 13076, 13011, 13013, 10090, 10087, 10685, 10686 -9632 , 13018, 13079, 12426, 12419, 13080, 13114, 12506, 12503 -9633 , 12426, 13079, 13018, 12419, 12418, 13115, 13081, 12410 -9634 , 13082, 13014, 10961, 10595, 13084, 13016, 10712, 10618 -9635 , 10961, 13014, 13082, 10595, 10948, 13017, 10956, 10894 -9636 , 10961, 10595, 10618, 10712, 10699, 10593, 10598, 10700 -9637 , 13083, 13015, 13014, 13082, 13086, 13022, 13016, 13084 -9638 , 13014, 13015, 13083, 13082, 13017, 13023, 13087, 10956 -9639 , 13085, 13021, 13015, 13083, 13089, 13025, 13022, 13086 -9640 , 13015, 13021, 13085, 13083, 13023, 13026, 13090, 13087 -9641 , 13088, 13024, 13021, 13085, 13092, 13028, 13025, 13089 -9642 , 13021, 13024, 13088, 13085, 13026, 13029, 13093, 13090 -9643 , 13091, 13027, 13024, 13088, 13095, 13031, 13028, 13092 -9644 , 13024, 13027, 13091, 13088, 13029, 13032, 13096, 13093 -9645 , 13094, 13030, 13027, 13091, 13098, 13034, 13031, 13095 -9646 , 13027, 13030, 13094, 13091, 13032, 13035, 13099, 13096 -9647 , 13097, 13033, 13030, 13094, 13101, 13037, 13034, 13098 -9648 , 13030, 13033, 13097, 13094, 13035, 13038, 13102, 13099 -9649 , 13100, 13036, 13033, 13097, 13104, 13040, 13037, 13101 -9650 , 13033, 13036, 13100, 13097, 13038, 13041, 13105, 13102 -9651 , 13103, 13039, 13036, 13100, 13107, 13045, 13040, 13104 -9652 , 13036, 13039, 13103, 13100, 13041, 13046, 13108, 13105 -9653 , 13106, 13042, 13039, 13103, 13109, 13047, 13045, 13107 -9654 , 13039, 13042, 13106, 13103, 13046, 13049, 13111, 13108 -9655 , 13109, 13106, 13042, 13047, 13174, 13110, 13048, 13112 -9656 , 13042, 13048, 13110, 13106, 13049, 13116, 13175, 13111 -9657 , 13079, 13113, 12429, 12426, 13114, 13142, 12509, 12506 -9658 , 12429, 13113, 13079, 12426, 12425, 13143, 13115, 12418 -9659 , 7203, 7209, 7210, 7204, 13048, 13110, 13174, 13112 -9660 , 7203, 7209, 13110, 13048, 7205, 7211, 13175, 13116 -9661 , 7212, 7213, 7214, 7207, 13056, 13120, 13117, 13052 -9662 , 7206, 7215, 7212, 7207, 13118, 13059, 13056, 13052 -9663 , 13117, 7214, 7207, 13052, 13176, 7216, 7208, 13119 -9664 , 7215, 7217, 7213, 7212, 13059, 13178, 13120, 13056 -9665 , 13121, 13061, 13055, 13122, 13126, 13065, 13062, 13123 -9666 , 13055, 13061, 13121, 13122, 13063, 13066, 13127, 13124 -9667 , 13055, 13122, 13123, 13062, 13056, 13120, 13178, 13059 -9668 , 13056, 13055, 13122, 13120, 13060, 13063, 13124, 13179 -9669 , 13125, 13064, 13061, 13121, 13129, 13068, 13065, 13126 -9670 , 13061, 13064, 13125, 13121, 13066, 13069, 13130, 13127 -9671 , 13128, 13067, 13064, 13125, 13132, 13071, 13068, 13129 -9672 , 13064, 13067, 13128, 13125, 13069, 13072, 13133, 13130 -9673 , 13131, 13070, 13067, 13128, 13135, 13074, 13071, 13132 -9674 , 13067, 13070, 13131, 13128, 13072, 13075, 13136, 13133 -9675 , 13134, 13073, 13070, 13131, 13138, 13077, 13074, 13135 -9676 , 13070, 13073, 13134, 13131, 13075, 10950, 13139, 13136 -9677 , 13137, 13076, 13073, 13134, 13140, 13078, 13077, 13138 -9678 , 13073, 13076, 13137, 13134, 10950, 10943, 10952, 13139 -9679 , 10135, 10087, 13076, 13137, 10128, 10090, 13078, 13140 -9680 , 13076, 10087, 10135, 13137, 10943, 10771, 10929, 10952 -9681 , 13113, 13141, 12432, 12429, 13142, 13200, 12512, 12509 -9682 , 12432, 13141, 13113, 12429, 12339, 13201, 13143, 12425 -9683 , 13144, 13082, 10595, 10596, 13146, 13084, 10618, 10601 -9684 , 10595, 13082, 13144, 10596, 10894, 10956, 10957, 10896 -9685 , 13145, 13083, 13082, 13144, 13148, 13086, 13084, 13146 -9686 , 13082, 13083, 13145, 13144, 10956, 13087, 13149, 10957 -9687 , 13147, 13085, 13083, 13145, 13151, 13089, 13086, 13148 -9688 , 13083, 13085, 13147, 13145, 13087, 13090, 13152, 13149 -9689 , 13150, 13088, 13085, 13147, 13154, 13092, 13089, 13151 -9690 , 13085, 13088, 13150, 13147, 13090, 13093, 13155, 13152 -9691 , 13153, 13091, 13088, 13150, 13157, 13095, 13092, 13154 -9692 , 13088, 13091, 13153, 13150, 13093, 13096, 13158, 13155 -9693 , 13156, 13094, 13091, 13153, 13160, 13098, 13095, 13157 -9694 , 13091, 13094, 13156, 13153, 13096, 13099, 13161, 13158 -9695 , 13159, 13097, 13094, 13156, 13163, 13101, 13098, 13160 -9696 , 13094, 13097, 13159, 13156, 13099, 13102, 13164, 13161 -9697 , 13162, 13100, 13097, 13159, 13166, 13104, 13101, 13163 -9698 , 13097, 13100, 13162, 13159, 13102, 13105, 13167, 13164 -9699 , 13165, 13103, 13100, 13162, 13169, 13107, 13104, 13166 -9700 , 13100, 13103, 13165, 13162, 13105, 13108, 13170, 13167 -9701 , 13168, 13106, 13103, 13165, 13171, 13109, 13107, 13169 -9702 , 13103, 13106, 13168, 13165, 13108, 13111, 13173, 13170 -9703 , 13171, 13168, 13106, 13109, 13232, 13172, 13110, 13174 -9704 , 13106, 13110, 13172, 13168, 13111, 13175, 13233, 13173 -9705 , 7209, 7218, 7219, 7210, 13110, 13172, 13232, 13174 -9706 , 7209, 7218, 13172, 13110, 7211, 7220, 13233, 13175 -9707 , 13117, 13120, 7213, 7214, 13176, 13179, 7221, 7216 -9708 , 7217, 7222, 7223, 7213, 13178, 13234, 13177, 13120 -9709 , 13177, 7223, 7213, 13120, 13235, 7224, 7221, 13179 -9710 , 13180, 13121, 13122, 13181, 13186, 13126, 13123, 13183 -9711 , 13122, 13121, 13180, 13181, 13124, 13127, 13185, 13182 -9712 , 13179, 13124, 13122, 13120, 13235, 13182, 13181, 13177 -9713 , 13181, 13122, 13120, 13177, 13183, 13123, 13178, 13234 -9714 , 13121, 13125, 13129, 13126, 13180, 13184, 13188, 13186 -9715 , 13121, 13125, 13184, 13180, 13127, 13130, 13189, 13185 -9716 , 7015, 7039, 7017, 7016, 12260, 12322, 12320, 12238 -9717 , 13125, 13128, 13132, 13129, 13184, 13187, 13191, 13188 -9718 , 13125, 13128, 13187, 13184, 13130, 13133, 13192, 13189 -9719 , 13190, 13131, 13128, 13187, 13194, 13135, 13132, 13191 -9720 , 13128, 13131, 13190, 13187, 13133, 13136, 13195, 13192 -9721 , 13193, 13134, 13131, 13190, 13197, 13138, 13135, 13194 -9722 , 13131, 13134, 13193, 13190, 13136, 13139, 13198, 13195 -9723 , 13196, 13137, 13134, 13193, 13202, 13140, 13138, 13197 -9724 , 13134, 13137, 13196, 13193, 13139, 10952, 13204, 13198 -9725 , 13141, 13199, 12435, 12432, 13200, 13224, 12515, 12512 -9726 , 12435, 13199, 13141, 12432, 12346, 13225, 13201, 12339 -9727 , 13202, 13196, 13137, 13140, 10137, 13203, 10135, 10128 -9728 , 13137, 10135, 13203, 13196, 10952, 10929, 13246, 13204 -9729 , 7225, 7226, 7227, 7228, 10135, 13203, 10100, 10096 -9730 , 7225, 10135, 10096, 7228, 7230, 10929, 10252, 7229 -9731 , 7225, 7226, 13203, 10135, 7230, 7231, 13246, 10929 -9732 , 11282, 13144, 10596, 10600, 13205, 13146, 10601, 10603 -9733 , 10596, 13144, 11282, 10600, 10896, 10957, 11279, 11160 -9734 , 11281, 13145, 13144, 11282, 13206, 13148, 13146, 13205 -9735 , 13144, 13145, 11281, 11282, 10957, 13149, 11280, 11279 -9736 , 11290, 13147, 13145, 11281, 13208, 13151, 13148, 13206 -9737 , 13145, 13147, 11290, 11281, 13149, 13152, 11287, 11280 -9738 , 13207, 13150, 13147, 11290, 13210, 13154, 13151, 13208 -9739 , 13147, 13150, 13207, 11290, 13152, 13155, 11744, 11287 -9740 , 13209, 13153, 13150, 13207, 13212, 13157, 13154, 13210 -9741 , 13150, 13153, 13209, 13207, 13155, 13158, 13213, 11744 -9742 , 13211, 13156, 13153, 13209, 13215, 13160, 13157, 13212 -9743 , 13153, 13156, 13211, 13209, 13158, 13161, 13216, 13213 -9744 , 13214, 13159, 13156, 13211, 13218, 13163, 13160, 13215 -9745 , 13156, 13159, 13214, 13211, 13161, 13164, 13219, 13216 -9746 , 13217, 13162, 13159, 13214, 13221, 13166, 13163, 13218 -9747 , 13159, 13162, 13217, 13214, 13164, 13167, 13222, 13219 -9748 , 13220, 13165, 13162, 13217, 13227, 13169, 13166, 13221 -9749 , 13162, 13165, 13220, 13217, 13167, 13170, 13228, 13222 -9750 , 13199, 13223, 12438, 12435, 13224, 13250, 12518, 12515 -9751 , 12438, 13223, 13199, 12435, 12352, 13251, 13225, 12346 -9752 , 13226, 13168, 13165, 13220, 13229, 13171, 13169, 13227 -9753 , 13165, 13168, 13226, 13220, 13170, 13173, 13231, 13228 -9754 , 13229, 13226, 13168, 13171, 13268, 13230, 13172, 13232 -9755 , 13168, 13172, 13230, 13226, 13173, 13233, 13269, 13231 -9756 , 7218, 7239, 7240, 7219, 13172, 13230, 13268, 13232 -9757 , 7218, 7239, 13230, 13172, 7220, 7241, 13269, 13233 -9758 , 7222, 7242, 7243, 7223, 13234, 13183, 13181, 13177 -9759 , 13181, 7243, 7223, 13177, 13182, 7244, 7224, 13235 -9760 , 7242, 7245, 7246, 7243, 13183, 13186, 13180, 13181 -9761 , 13180, 7246, 7243, 13181, 13185, 7247, 7244, 13182 -9762 , 7245, 7248, 7249, 7246, 13186, 13188, 13184, 13180 -9763 , 13184, 7249, 7246, 13180, 13189, 7250, 7247, 13185 -9764 , 7251, 7252, 7253, 7249, 13187, 13237, 13236, 13184 -9765 , 7248, 7254, 7251, 7249, 13188, 13191, 13187, 13184 -9766 , 13236, 7253, 7249, 13184, 13270, 7255, 7250, 13189 -9767 , 7254, 7256, 7252, 7251, 13191, 13271, 13237, 13187 -9768 , 13190, 13193, 13197, 13194, 13239, 13238, 13243, 13241 -9769 , 13190, 13193, 13238, 13239, 13195, 13198, 13244, 13240 -9770 , 13195, 13240, 13239, 13190, 13192, 13272, 13237, 13187 -9771 , 13239, 13190, 13187, 13237, 13241, 13194, 13191, 13271 -9772 , 13193, 13196, 13202, 13197, 13238, 13242, 13245, 13243 -9773 , 13193, 13196, 13242, 13238, 13198, 13204, 13247, 13244 -9774 , 13196, 13203, 10137, 13202, 13242, 13248, 13273, 13245 -9775 , 13204, 13246, 13203, 13196, 13247, 13274, 13248, 13242 -9776 , 7257, 7258, 7227, 7226, 10137, 10136, 10100, 13203 -9777 , 7226, 7259, 7260, 7257, 13203, 13248, 13273, 10137 -9778 , 7226, 7259, 13248, 13203, 7231, 7261, 13274, 13246 -9779 , 13223, 13249, 12441, 12438, 13250, 13276, 12521, 12518 -9780 , 12441, 13249, 13223, 12438, 12358, 13277, 13251, 12352 -9781 , 10600, 11282, 13205, 10603, 11291, 11284, 11294, 11295 -9782 , 11286, 11281, 11282, 11284, 11302, 13206, 13205, 11294 -9783 , 11289, 11290, 11281, 11286, 11308, 13208, 13206, 11302 -9784 , 11304, 13207, 11290, 11289, 11313, 13210, 13208, 11308 -9785 , 11290, 13207, 11304, 11289, 11287, 11744, 11306, 11288 -9786 , 11310, 13209, 13207, 11304, 13253, 13212, 13210, 11313 -9787 , 13207, 13209, 11310, 11304, 11744, 13213, 11315, 11306 -9788 , 13252, 13211, 13209, 11310, 13255, 13215, 13212, 13253 -9789 , 13209, 13211, 13252, 11310, 13213, 13216, 11753, 11315 -9790 , 13254, 13214, 13211, 13252, 13257, 13218, 13215, 13255 -9791 , 13211, 13214, 13254, 13252, 13216, 13219, 13258, 11753 -9792 , 13256, 13217, 13214, 13254, 13260, 13221, 13218, 13257 -9793 , 13214, 13217, 13256, 13254, 13219, 13222, 13261, 13258 -9794 , 13259, 13220, 13217, 13256, 13263, 13227, 13221, 13260 -9795 , 13217, 13220, 13259, 13256, 13222, 13228, 13264, 13261 -9796 , 13262, 13226, 13220, 13259, 13265, 13229, 13227, 13263 -9797 , 13220, 13226, 13262, 13259, 13228, 13231, 13266, 13264 -9798 , 13265, 13262, 13226, 13229, 13292, 13267, 13230, 13268 -9799 , 13262, 13266, 13231, 13226, 13267, 13289, 13269, 13230 -9800 , 7239, 7270, 7271, 7240, 13230, 13267, 13292, 13268 -9801 , 7239, 7270, 13267, 13230, 7241, 7272, 13289, 13269 -9802 , 13236, 13237, 7252, 7253, 13270, 13272, 7273, 7255 -9803 , 7256, 7274, 7275, 7252, 13271, 13241, 13239, 13237 -9804 , 13239, 7275, 7252, 13237, 13240, 7276, 7273, 13272 -9805 , 7274, 7277, 7278, 7275, 13241, 13243, 13238, 13239 -9806 , 13238, 7278, 7275, 13239, 13244, 7279, 7276, 13240 -9807 , 7277, 7280, 7281, 7278, 13243, 13245, 13242, 13238 -9808 , 13242, 7281, 7278, 13238, 13247, 7282, 7279, 13244 -9809 , 7280, 7260, 7259, 7281, 13245, 13273, 13248, 13242 -9810 , 13248, 7259, 7281, 13242, 13274, 7261, 7282, 13247 -9811 , 13249, 13275, 12444, 12441, 13276, 13295, 12527, 12521 -9812 , 12444, 13275, 13249, 12441, 12364, 13296, 13277, 12358 -9813 , 11336, 13252, 11310, 11311, 13279, 13255, 13253, 11333 -9814 , 11310, 13252, 11336, 11311, 11315, 11753, 11338, 11316 -9815 , 13278, 13254, 13252, 11336, 13281, 13257, 13255, 13279 -9816 , 13252, 13254, 13278, 11336, 11753, 13258, 11762, 11338 -9817 , 13280, 13256, 13254, 13278, 13283, 13260, 13257, 13281 -9818 , 13254, 13256, 13280, 13278, 13258, 13261, 13284, 11762 -9819 , 13282, 13259, 13256, 13280, 13287, 13263, 13260, 13283 -9820 , 13256, 13259, 13282, 13280, 13261, 13264, 13288, 13284 -9821 , 7194, 7292, 7060, 7057, 13285, 13437, 12285, 12282 -9822 , 13286, 13262, 13259, 13282, 13293, 13265, 13263, 13287 -9823 , 13259, 13262, 13286, 13282, 13264, 13266, 13290, 13288 -9824 , 13266, 13289, 13267, 13262, 13290, 13305, 13291, 13286 -9825 , 13291, 13267, 13262, 13286, 13304, 13292, 13265, 13293 -9826 , 7270, 7293, 7294, 7271, 13267, 13291, 13304, 13292 -9827 , 7270, 7293, 13291, 13267, 7272, 7295, 13305, 13289 -9828 , 13275, 13294, 12447, 12444, 13295, 13307, 12530, 12527 -9829 , 12447, 13294, 13275, 12444, 12368, 13308, 13296, 12364 -9830 , 11363, 13278, 11336, 11337, 13298, 13281, 13279, 11360 -9831 , 11336, 13278, 11363, 11337, 11338, 11762, 11365, 11341 -9832 , 13297, 13280, 13278, 11363, 13300, 13283, 13281, 13298 -9833 , 13278, 13280, 13297, 11363, 11762, 13284, 11773, 11365 -9834 , 13299, 13282, 13280, 13297, 13301, 13287, 13283, 13300 -9835 , 13280, 13282, 13299, 13297, 13284, 13288, 13303, 11773 -9836 , 13301, 13299, 13282, 13287, 13310, 13302, 13286, 13293 -9837 , 13282, 13286, 13302, 13299, 13288, 13290, 13312, 13303 -9838 , 7303, 7294, 7293, 7304, 13293, 13304, 13291, 13286 -9839 , 13291, 7293, 7304, 13286, 13305, 7295, 7305, 13290 -9840 , 7304, 7306, 7307, 7303, 13286, 13302, 13310, 13293 -9841 , 7304, 7306, 13302, 13286, 7305, 7308, 13312, 13290 -9842 , 13294, 13306, 12263, 12447, 13307, 13315, 12533, 12530 -9843 , 12263, 13306, 13294, 12447, 12249, 12248, 13308, 12368 -9844 , 11392, 13297, 11363, 11364, 11485, 13300, 13298, 11389 -9845 , 11363, 13297, 11392, 11364, 11365, 11773, 11394, 11368 -9846 , 13309, 13299, 13297, 11392, 13311, 13301, 13300, 11485 -9847 , 13297, 13299, 13309, 11392, 11773, 13303, 13313, 11394 -9848 , 13299, 13302, 13310, 13301, 13309, 13314, 13317, 13311 -9849 , 13303, 13312, 13302, 13299, 13313, 13318, 13314, 13309 -9850 , 7306, 7314, 7315, 7307, 13302, 13314, 13317, 13310 -9851 , 7306, 7314, 13314, 13302, 7308, 7316, 13318, 13312 -9852 , 13306, 12244, 12245, 12263, 13315, 13319, 12536, 12533 -9853 , 11394, 13313, 13309, 11392, 11722, 13321, 13316, 11393 -9854 , 13316, 13309, 11392, 11393, 13320, 13311, 11485, 11486 -9855 , 7322, 7315, 7314, 7323, 13311, 13317, 13314, 13309 -9856 , 13314, 7314, 7323, 13309, 13318, 7316, 7324, 13313 -9857 , 7323, 7325, 7326, 7322, 13309, 13316, 13320, 13311 -9858 , 7323, 7325, 13316, 13309, 7324, 7327, 13321, 13313 -9859 , 7339, 7326, 7325, 7335, 11486, 13320, 13316, 11393 -9860 , 13316, 7325, 7335, 11393, 13321, 7327, 7336, 11722 -9861 , 12244, 12294, 12252, 12245, 13319, 13322, 12539, 12536 -9862 , 12294, 12382, 12326, 12252, 13322, 13323, 12542, 12539 -9863 , 7047, 7380, 7050, 7048, 12269, 12336, 12323, 12266 -9864 , 7052, 7381, 7380, 7047, 12272, 12335, 12336, 12269 -9865 , 7054, 7382, 7381, 7052, 12275, 12344, 12335, 12272 -9866 , 12382, 12453, 12422, 12326, 13323, 13338, 12545, 12542 -9867 , 7056, 7383, 7382, 7054, 12279, 12350, 12344, 12275 -9868 , 7059, 7384, 7383, 7056, 12281, 12355, 12350, 12279 -9869 , 7062, 7385, 7384, 7059, 12284, 12361, 12355, 12281 -9870 , 7064, 7386, 7385, 7062, 12287, 12366, 12361, 12284 -9871 , 7067, 7387, 7386, 7064, 12290, 12369, 12366, 12287 -9872 , 7067, 7070, 7388, 7389, 12290, 12297, 13325, 13324 -9873 , 7389, 7390, 7387, 7067, 13324, 13340, 12369, 12290 -9874 , 7070, 7073, 7391, 7388, 12297, 12300, 13326, 13325 -9875 , 7076, 7082, 7392, 7073, 12304, 12378, 12374, 12300 -9876 , 7073, 7392, 7393, 7391, 12300, 12374, 13343, 13326 -9877 , 7093, 7092, 7394, 7395, 12314, 12317, 13328, 13327 -9878 , 7395, 7396, 7095, 7093, 13327, 13348, 12402, 12314 -9879 , 7092, 7097, 7397, 7394, 12317, 12319, 13329, 13328 -9880 , 7097, 7098, 7398, 7397, 12319, 12321, 13330, 13329 -9881 , 7098, 7050, 7399, 7398, 12321, 12323, 13331, 13330 -9882 , 7050, 7380, 7400, 7399, 12323, 12336, 13332, 13331 -9883 , 7380, 7381, 7401, 7400, 12336, 12335, 13333, 13332 -9884 , 7381, 7382, 7402, 7401, 12335, 12344, 13334, 13333 -9885 , 7382, 7383, 7403, 7402, 12344, 12350, 13335, 13334 -9886 , 7383, 7384, 7404, 7403, 12350, 12355, 13336, 13335 -9887 , 7384, 7385, 7405, 7404, 12355, 12361, 13337, 13336 -9888 , 7385, 7386, 7406, 7405, 12361, 12366, 13339, 13337 -9889 , 12453, 12524, 12464, 12422, 13338, 13368, 12550, 12545 -9890 , 7386, 7387, 7390, 7406, 12366, 12369, 13340, 13339 -9891 , 12375, 12371, 12369, 12372, 13341, 13342, 13340, 13371 -9892 , 12377, 12374, 12371, 12375, 13374, 13343, 13342, 13341 -9893 , 12371, 12297, 12290, 12369, 13342, 13325, 13324, 13340 -9894 , 12374, 12300, 12297, 12371, 13343, 13326, 13325, 13342 -9895 , 7392, 7082, 7407, 7393, 12374, 12378, 13344, 13343 -9896 , 7082, 7099, 7408, 7407, 12378, 12385, 13345, 13344 -9897 , 7101, 7107, 7409, 7099, 12389, 12467, 12461, 12385 -9898 , 7099, 7409, 7410, 7408, 12385, 12461, 13379, 13345 -9899 , 7111, 7411, 7117, 7112, 12398, 12487, 12479, 12396 -9900 , 7111, 7118, 7412, 7413, 12398, 12400, 13347, 13346 -9901 , 7413, 7414, 7411, 7111, 13346, 13384, 12487, 12398 -9902 , 7118, 7095, 7396, 7412, 12400, 12402, 13348, 13347 -9903 , 12420, 12407, 12408, 12413, 13353, 13349, 13350, 13351 -9904 , 12407, 12319, 12317, 12408, 13349, 13329, 13328, 13350 -9905 , 12413, 12408, 12402, 12493, 13351, 13350, 13348, 13385 -9906 , 12408, 12317, 12314, 12402, 13350, 13328, 13327, 13348 -9907 , 12427, 12417, 12407, 12420, 13355, 13352, 13349, 13353 -9908 , 12417, 12321, 12319, 12407, 13352, 13330, 13329, 13349 -9909 , 12430, 12424, 12417, 12427, 13357, 13354, 13352, 13355 -9910 , 12424, 12323, 12321, 12417, 13354, 13331, 13330, 13352 -9911 , 12433, 12338, 12424, 12430, 13359, 13356, 13354, 13357 -9912 , 13356, 12338, 12424, 13354, 13332, 12336, 12323, 13331 -9913 , 12436, 12345, 12338, 12433, 13361, 13358, 13356, 13359 -9914 , 13358, 12345, 12338, 13356, 13333, 12335, 12336, 13332 -9915 , 12439, 12351, 12345, 12436, 13363, 13360, 13358, 13361 -9916 , 12351, 12344, 12335, 12345, 13360, 13334, 13333, 13358 -9917 , 12442, 12357, 12351, 12439, 13365, 13362, 13360, 13363 -9918 , 12357, 12350, 12344, 12351, 13362, 13335, 13334, 13360 -9919 , 12445, 12363, 12357, 12442, 13367, 13364, 13362, 13365 -9920 , 12363, 12355, 12350, 12357, 13364, 13336, 13335, 13362 -9921 , 12448, 12367, 12363, 12445, 13370, 13366, 13364, 13367 -9922 , 12367, 12361, 12355, 12363, 13366, 13337, 13336, 13364 -9923 , 12524, 12596, 12548, 12464, 13368, 13395, 12556, 12550 -9924 , 12449, 12370, 12367, 12448, 13372, 13369, 13366, 13370 -9925 , 13369, 12370, 12367, 13366, 13339, 12366, 12361, 13337 -9926 , 12450, 12372, 12370, 12449, 13373, 13371, 13369, 13372 -9927 , 13371, 12372, 12370, 13369, 13340, 12369, 12366, 13339 -9928 , 12455, 12375, 12372, 12450, 13375, 13341, 13371, 13373 -9929 , 12458, 12377, 12375, 12455, 13377, 13374, 13341, 13375 -9930 , 12462, 12457, 12377, 12458, 13378, 13376, 13374, 13377 -9931 , 12457, 12378, 12374, 12377, 13376, 13344, 13343, 13374 -9932 , 12465, 12461, 12457, 12462, 13405, 13379, 13376, 13378 -9933 , 12461, 12385, 12378, 12457, 13379, 13345, 13344, 13376 -9934 , 7409, 7107, 7415, 7410, 12461, 12467, 13380, 13379 -9935 , 7107, 7119, 7416, 7415, 12467, 12470, 13381, 13380 -9936 , 7122, 7125, 7417, 7119, 12473, 12562, 12555, 12470 -9937 , 7119, 7417, 7418, 7416, 12470, 12555, 13410, 13381 -9938 , 7128, 7117, 7419, 7420, 12477, 12479, 13383, 13382 -9939 , 7420, 7421, 7131, 7128, 13382, 13413, 12571, 12477 -9940 , 7117, 7411, 7414, 7419, 12479, 12487, 13384, 13383 -9941 , 12498, 12493, 12486, 12495, 13388, 13385, 13386, 13387 -9942 , 12493, 12402, 12400, 12486, 13385, 13348, 13347, 13386 -9943 , 12495, 12486, 12487, 12490, 13387, 13386, 13384, 13414 -9944 , 12486, 12400, 12398, 12487, 13386, 13347, 13346, 13384 -9945 , 12501, 12413, 12493, 12498, 13389, 13351, 13385, 13388 -9946 , 12504, 12420, 12413, 12501, 13390, 13353, 13351, 13389 -9947 , 12507, 12427, 12420, 12504, 13391, 13355, 13353, 13390 -9948 , 12510, 12430, 12427, 12507, 13392, 13357, 13355, 13391 -9949 , 12513, 12433, 12430, 12510, 13393, 13359, 13357, 13392 -9950 , 12516, 12436, 12433, 12513, 13396, 13361, 13359, 13393 -9951 , 12596, 13394, 12554, 12548, 13395, 13419, 12559, 12556 -9952 , 12519, 12439, 12436, 12516, 13397, 13363, 13361, 13396 -9953 , 12522, 12442, 12439, 12519, 13398, 13365, 13363, 13397 -9954 , 12528, 12445, 12442, 12522, 13399, 13367, 13365, 13398 -9955 , 12531, 12448, 12445, 12528, 13400, 13370, 13367, 13399 -9956 , 12534, 12449, 12448, 12531, 13401, 13372, 13370, 13400 -9957 , 12537, 12450, 12449, 12534, 13402, 13373, 13372, 13401 -9958 , 12540, 12455, 12450, 12537, 13403, 13375, 13373, 13402 -9959 , 12543, 12458, 12455, 12540, 13404, 13377, 13375, 13403 -9960 , 12546, 12462, 12458, 12543, 13406, 13378, 13377, 13404 -9961 , 12551, 12465, 12462, 12546, 13408, 13405, 13378, 13406 -9962 , 12557, 12549, 12465, 12551, 13409, 13407, 13405, 13408 -9963 , 12549, 12467, 12461, 12465, 13407, 13380, 13379, 13405 -9964 , 12560, 12555, 12549, 12557, 13439, 13410, 13407, 13409 -9965 , 12555, 12470, 12467, 12549, 13410, 13381, 13380, 13407 -9966 , 7417, 7125, 7422, 7418, 12555, 12562, 13411, 13410 -9967 , 7133, 7136, 7423, 7125, 12565, 12652, 12644, 12562 -9968 , 7125, 7423, 7424, 7422, 12562, 12644, 13442, 13411 -9969 , 7139, 7131, 7421, 7425, 12569, 12571, 13413, 13412 -9970 , 7425, 7426, 7141, 7139, 13412, 13446, 12661, 12569 -9971 , 12581, 12490, 12575, 12578, 13417, 13414, 13415, 13416 -9972 , 13414, 12490, 12575, 13415, 13384, 12487, 12479, 13383 -9973 , 12578, 12575, 12571, 12665, 13416, 13415, 13413, 13447 -9974 , 12575, 12479, 12477, 12571, 13415, 13383, 13382, 13413 -9975 , 12584, 12495, 12490, 12581, 13418, 13387, 13414, 13417 -9976 , 12587, 12498, 12495, 12584, 13421, 13388, 13387, 13418 -9977 , 12559, 13419, 13394, 12554, 12645, 13793, 13420, 12561 -9978 , 12554, 13394, 12600, 12469, 12561, 13420, 12727, 12472 -9979 , 12590, 12501, 12498, 12587, 13422, 13389, 13388, 13421 -9980 , 12593, 12504, 12501, 12590, 13423, 13390, 13389, 13422 -9981 , 12597, 12507, 12504, 12593, 13424, 13391, 13390, 13423 -9982 , 12602, 12510, 12507, 12597, 13425, 13392, 13391, 13424 -9983 , 12605, 12513, 12510, 12602, 13426, 13393, 13392, 13425 -9984 , 12608, 12516, 12513, 12605, 13427, 13396, 13393, 13426 -9985 , 12611, 12519, 12516, 12608, 13428, 13397, 13396, 13427 -9986 , 12614, 12522, 12519, 12611, 13429, 13398, 13397, 13428 -9987 , 12617, 12528, 12522, 12614, 13430, 13399, 13398, 13429 -9988 , 12620, 12531, 12528, 12617, 13431, 13400, 13399, 13430 -9989 , 12623, 12534, 12531, 12620, 13432, 13401, 13400, 13431 -9990 , 12626, 12537, 12534, 12623, 13433, 13402, 13401, 13432 -9991 , 12629, 12540, 12537, 12626, 13434, 13403, 13402, 13433 -9992 , 12632, 12543, 12540, 12629, 13435, 13404, 13403, 13434 -9993 , 12635, 12546, 12543, 12632, 13436, 13406, 13404, 13435 -9994 , 12638, 12551, 12546, 12635, 13438, 13408, 13406, 13436 -9995 , 7292, 7427, 7065, 7060, 13437, 13613, 12288, 12285 -9996 , 12641, 12557, 12551, 12638, 13440, 13409, 13408, 13438 -9997 , 12646, 12560, 12557, 12641, 13441, 13439, 13409, 13440 -9998 , 12649, 12644, 12560, 12646, 13471, 13442, 13439, 13441 -9999 , 12644, 12562, 12555, 12560, 13442, 13411, 13410, 13439 -10000 , 7423, 7136, 7428, 7424, 12644, 12652, 13443, 13442 -10001 , 7159, 7429, 7134, 7123, 13420, 13464, 12566, 12561 -10002 , 7136, 7145, 7430, 7428, 12652, 12655, 13444, 13443 -10003 , 7145, 7148, 7431, 7430, 12655, 12745, 13476, 13444 -10004 , 7151, 7141, 7426, 7432, 12659, 12661, 13446, 13445 -10005 , 7432, 7433, 7153, 7151, 13445, 13477, 12755, 12659 -10006 , 12671, 12578, 12665, 12668, 13449, 13416, 13447, 13448 -10007 , 12668, 12665, 12661, 12759, 13448, 13447, 13446, 13478 -10008 , 12665, 12571, 12569, 12661, 13447, 13413, 13412, 13446 -10009 , 12674, 12581, 12578, 12671, 13450, 13417, 13416, 13449 -10010 , 12677, 12584, 12581, 12674, 13451, 13418, 13417, 13450 -10011 , 12680, 12587, 12584, 12677, 13452, 13421, 13418, 13451 -10012 , 12683, 12590, 12587, 12680, 13453, 13422, 13421, 13452 -10013 , 12686, 12593, 12590, 12683, 13454, 13423, 13422, 13453 -10014 , 12689, 12597, 12593, 12686, 13455, 13424, 13423, 13454 -10015 , 12692, 12602, 12597, 12689, 13456, 13425, 13424, 13455 -10016 , 12695, 12605, 12602, 12692, 13457, 13426, 13425, 13456 -10017 , 12698, 12608, 12605, 12695, 13458, 13427, 13426, 13457 -10018 , 12701, 12611, 12608, 12698, 13459, 13428, 13427, 13458 -10019 , 12704, 12614, 12611, 12701, 13460, 13429, 13428, 13459 -10020 , 12707, 12617, 12614, 12704, 13461, 13430, 13429, 13460 -10021 , 12710, 12620, 12617, 12707, 13462, 13431, 13430, 13461 -10022 , 12713, 12623, 12620, 12710, 13463, 13432, 13431, 13462 -10023 , 12716, 12626, 12623, 12713, 13465, 13433, 13432, 13463 -10024 , 7429, 7434, 7137, 7134, 13464, 13814, 12651, 12566 -10025 , 12719, 12629, 12626, 12716, 13466, 13434, 13433, 13465 -10026 , 12722, 12632, 12629, 12719, 13467, 13435, 13434, 13466 -10027 , 12725, 12635, 12632, 12722, 13468, 13436, 13435, 13467 -10028 , 12729, 12638, 12635, 12725, 13469, 13438, 13436, 13468 -10029 , 12732, 12641, 12638, 12729, 13470, 13440, 13438, 13469 -10030 , 12735, 12646, 12641, 12732, 13472, 13441, 13440, 13470 -10031 , 12740, 12649, 12646, 12735, 13474, 13471, 13441, 13472 -10032 , 12743, 12738, 12649, 12740, 13475, 13473, 13471, 13474 -10033 , 12738, 12652, 12644, 12649, 13473, 13443, 13442, 13471 -10034 , 12834, 12745, 12738, 12743, 13506, 13476, 13473, 13475 -10035 , 12745, 12655, 12652, 12738, 13476, 13444, 13443, 13473 -10036 , 7161, 7164, 7435, 7148, 12749, 12842, 12834, 12745 -10037 , 7148, 7435, 7436, 7431, 12745, 12834, 13506, 13476 -10038 , 7153, 7437, 7169, 7167, 12755, 12848, 12844, 12753 -10039 , 7433, 7438, 7437, 7153, 13477, 13509, 12848, 12755 -10040 , 12765, 12668, 12759, 12762, 13480, 13448, 13478, 13479 -10041 , 12762, 12759, 12755, 12848, 13479, 13478, 13477, 13509 -10042 , 12759, 12661, 12659, 12755, 13478, 13446, 13445, 13477 -10043 , 12768, 12671, 12668, 12765, 13481, 13449, 13448, 13480 -10044 , 12771, 12674, 12671, 12768, 13482, 13450, 13449, 13481 -10045 , 12774, 12677, 12674, 12771, 13483, 13451, 13450, 13482 -10046 , 12777, 12680, 12677, 12774, 13484, 13452, 13451, 13483 -10047 , 12780, 12683, 12680, 12777, 13485, 13453, 13452, 13484 -10048 , 12782, 12686, 12683, 12780, 13487, 13454, 13453, 13485 -10049 , 7439, 7174, 7130, 7140, 13486, 13507, 12572, 12570 -10050 , 7140, 7143, 7440, 7439, 12570, 12662, 13895, 13486 -10051 , 12784, 12689, 12686, 12782, 13488, 13455, 13454, 13487 -10052 , 12786, 12692, 12689, 12784, 13489, 13456, 13455, 13488 -10053 , 12788, 12695, 12692, 12786, 13490, 13457, 13456, 13489 -10054 , 12792, 12698, 12695, 12788, 13491, 13458, 13457, 13490 -10055 , 12795, 12701, 12698, 12792, 13492, 13459, 13458, 13491 -10056 , 12798, 12704, 12701, 12795, 13493, 13460, 13459, 13492 -10057 , 12801, 12707, 12704, 12798, 13494, 13461, 13460, 13493 -10058 , 12804, 12710, 12707, 12801, 13495, 13462, 13461, 13494 -10059 , 12807, 12713, 12710, 12804, 13496, 13463, 13462, 13495 -10060 , 12810, 12716, 12713, 12807, 13497, 13465, 13463, 13496 -10061 , 12813, 12719, 12716, 12810, 13498, 13466, 13465, 13497 -10062 , 12816, 12722, 12719, 12813, 13499, 13467, 13466, 13498 -10063 , 12819, 12725, 12722, 12816, 13500, 13468, 13467, 13499 -10064 , 12822, 12729, 12725, 12819, 13501, 13469, 13468, 13500 -10065 , 12825, 12732, 12729, 12822, 13502, 13470, 13469, 13501 -10066 , 12828, 12735, 12732, 12825, 13503, 13472, 13470, 13502 -10067 , 12831, 12740, 12735, 12828, 13504, 13474, 13472, 13503 -10068 , 12836, 12743, 12740, 12831, 13505, 13475, 13474, 13504 -10069 , 12838, 12834, 12743, 12836, 13535, 13506, 13475, 13505 -10070 , 7435, 7164, 7441, 7436, 12834, 12842, 13508, 13506 -10071 , 7164, 7176, 7442, 7441, 12842, 12919, 13538, 13508 -10072 , 7437, 7191, 7178, 7169, 12848, 12851, 12925, 12844 -10073 , 7438, 7443, 7191, 7437, 13509, 13539, 12851, 12848 -10074 , 12857, 12765, 12762, 12853, 13511, 13480, 13479, 13510 -10075 , 12853, 12762, 12848, 12851, 13510, 13479, 13509, 13539 -10076 , 12860, 12768, 12765, 12857, 13512, 13481, 13480, 13511 -10077 , 12863, 12771, 12768, 12860, 13513, 13482, 13481, 13512 -10078 , 12866, 12774, 12771, 12863, 13514, 13483, 13482, 13513 -10079 , 12869, 12777, 12774, 12866, 13515, 13484, 13483, 13514 -10080 , 12871, 12780, 12777, 12869, 13516, 13485, 13484, 13515 -10081 , 12872, 12782, 12780, 12871, 13517, 13487, 13485, 13516 -10082 , 12873, 12784, 12782, 12872, 13518, 13488, 13487, 13517 -10083 , 10672, 12786, 12784, 12873, 13519, 13489, 13488, 13518 -10084 , 10675, 12788, 12786, 10672, 10706, 13490, 13489, 13519 -10085 , 10678, 12792, 12788, 10675, 10707, 13491, 13490, 10706 -10086 , 10681, 12795, 12792, 10678, 13520, 13492, 13491, 10707 -10087 , 12875, 12798, 12795, 10681, 13521, 13493, 13492, 13520 -10088 , 12877, 12801, 12798, 12875, 13522, 13494, 13493, 13521 -10089 , 12880, 12804, 12801, 12877, 13523, 13495, 13494, 13522 -10090 , 12883, 12807, 12804, 12880, 13524, 13496, 13495, 13523 -10091 , 12886, 12810, 12807, 12883, 13527, 13497, 13496, 13524 -10092 , 13525, 12899, 12489, 12576, 13526, 13547, 12582, 12579 -10093 , 13525, 13526, 12579, 12576, 13507, 13908, 12666, 12572 -10094 , 12855, 13525, 12576, 12478, 12790, 13507, 12572, 12476 -10095 , 12889, 12813, 12810, 12886, 13528, 13498, 13497, 13527 -10096 , 12892, 12816, 12813, 12889, 13529, 13499, 13498, 13528 -10097 , 12895, 12819, 12816, 12892, 13530, 13500, 13499, 13529 -10098 , 12902, 12822, 12819, 12895, 13531, 13501, 13500, 13530 -10099 , 12905, 12825, 12822, 12902, 13532, 13502, 13501, 13531 -10100 , 12908, 12828, 12825, 12905, 13533, 13503, 13502, 13532 -10101 , 12911, 12831, 12828, 12908, 13534, 13504, 13503, 13533 -10102 , 12914, 12836, 12831, 12911, 13536, 13505, 13504, 13534 -10103 , 12916, 12838, 12836, 12914, 13537, 13535, 13505, 13536 -10104 , 13537, 12916, 12838, 13535, 13558, 12981, 12919, 13538 -10105 , 13535, 12838, 12834, 13506, 13538, 12919, 12842, 13508 -10106 , 7176, 7186, 7444, 7442, 12919, 12981, 13558, 13538 -10107 , 7443, 7445, 7193, 7191, 13539, 13561, 12992, 12851 -10108 , 12933, 12857, 12853, 12930, 13541, 13511, 13510, 13540 -10109 , 12853, 12930, 13540, 13510, 12851, 12992, 13561, 13539 -10110 , 12937, 12860, 12857, 12933, 13542, 13512, 13511, 13541 -10111 , 12940, 12863, 12860, 12937, 13543, 13513, 13512, 13542 -10112 , 12943, 12866, 12863, 12940, 13544, 13514, 13513, 13543 -10113 , 12946, 12869, 12866, 12943, 13545, 13515, 13514, 13544 -10114 , 12947, 12871, 12869, 12946, 13546, 13516, 13515, 13545 -10115 , 10687, 12872, 12871, 12947, 13548, 13517, 13516, 13546 -10116 , 12899, 12949, 12494, 12489, 13547, 13559, 12585, 12582 -10117 , 10688, 12873, 12872, 10687, 10708, 13518, 13517, 13548 -10118 , 12873, 10672, 10102, 10688, 10665, 10666, 10667, 10668 -10119 , 10102, 10672, 12873, 10688, 10107, 13519, 13518, 10708 -10120 , 10681, 12875, 10449, 10113, 10677, 10680, 10447, 10443 -10121 , 10449, 12875, 10681, 10113, 10146, 13521, 13520, 10115 -10122 , 10513, 12877, 12875, 10449, 10709, 13522, 13521, 10146 -10123 , 10697, 12880, 12877, 10513, 10710, 13523, 13522, 10709 -10124 , 10701, 12883, 12880, 10697, 10714, 13524, 13523, 10710 -10125 , 10711, 12886, 12883, 10701, 10719, 13527, 13524, 10714 -10126 , 12955, 12889, 12886, 10711, 13549, 13528, 13527, 10719 -10127 , 12958, 12892, 12889, 12955, 13550, 13529, 13528, 13549 -10128 , 12961, 12895, 12892, 12958, 13551, 13530, 13529, 13550 -10129 , 12964, 12902, 12895, 12961, 13552, 13531, 13530, 13551 -10130 , 12967, 12905, 12902, 12964, 13553, 13532, 13531, 13552 -10131 , 12970, 12908, 12905, 12967, 13554, 13533, 13532, 13553 -10132 , 12973, 12911, 12908, 12970, 13555, 13534, 13533, 13554 -10133 , 12976, 12914, 12911, 12973, 13556, 13536, 13534, 13555 -10134 , 12979, 12916, 12914, 12976, 13557, 13537, 13536, 13556 -10135 , 13557, 12979, 12916, 13537, 13579, 13043, 12981, 13558 -10136 , 12949, 12989, 12497, 12494, 13559, 13569, 12588, 12585 -10137 , 7195, 7197, 7446, 7186, 12984, 13051, 13043, 12981 -10138 , 7186, 7446, 7447, 7444, 12981, 13043, 13579, 13558 -10139 , 7199, 7193, 7445, 7448, 12987, 12992, 13561, 13560 -10140 , 7448, 7449, 7200, 7199, 13560, 13581, 13053, 12987 -10141 , 13000, 12933, 12930, 12996, 13563, 13541, 13540, 13562 -10142 , 12996, 12930, 12992, 13057, 13562, 13540, 13561, 13582 -10143 , 13003, 12937, 12933, 13000, 13564, 13542, 13541, 13563 -10144 , 13006, 12940, 12937, 13003, 13565, 13543, 13542, 13564 -10145 , 13009, 12943, 12940, 13006, 13566, 13544, 13543, 13565 -10146 , 13012, 12946, 12943, 13009, 13567, 13545, 13544, 13566 -10147 , 13013, 12947, 12946, 13012, 13568, 13546, 13545, 13567 -10148 , 10686, 10687, 12947, 13013, 10715, 13548, 13546, 13568 -10149 , 12989, 13019, 12500, 12497, 13569, 13589, 12591, 12588 -10150 , 13016, 12955, 10711, 10712, 13570, 13549, 10719, 10716 -10151 , 13022, 12958, 12955, 13016, 13571, 13550, 13549, 13570 -10152 , 13025, 12961, 12958, 13022, 13572, 13551, 13550, 13571 -10153 , 13028, 12964, 12961, 13025, 13573, 13552, 13551, 13572 -10154 , 13031, 12967, 12964, 13028, 13574, 13553, 13552, 13573 -10155 , 13034, 12970, 12967, 13031, 13575, 13554, 13553, 13574 -10156 , 13037, 12973, 12970, 13034, 13576, 13555, 13554, 13575 -10157 , 13040, 12976, 12973, 13037, 13577, 13556, 13555, 13576 -10158 , 13045, 12979, 12976, 13040, 13578, 13557, 13556, 13577 -10159 , 13047, 13043, 12979, 13045, 13601, 13579, 13557, 13578 -10160 , 7446, 7197, 7450, 7447, 13043, 13051, 13580, 13579 -10161 , 7197, 7204, 7451, 7450, 13051, 13112, 13604, 13580 -10162 , 7449, 7452, 7206, 7200, 13581, 13605, 13118, 13053 -10163 , 13062, 12996, 13057, 13059, 13584, 13562, 13582, 13583 -10164 , 13057, 12992, 12987, 13053, 13582, 13561, 13560, 13581 -10165 , 13059, 13057, 13053, 13118, 13583, 13582, 13581, 13605 -10166 , 13065, 13000, 12996, 13062, 13585, 13563, 13562, 13584 -10167 , 13068, 13003, 13000, 13065, 13586, 13564, 13563, 13585 -10168 , 13071, 13006, 13003, 13068, 13587, 13565, 13564, 13586 -10169 , 13074, 13009, 13006, 13071, 13588, 13566, 13565, 13587 -10170 , 13077, 13012, 13009, 13074, 13590, 13567, 13566, 13588 -10171 , 13019, 13080, 12503, 12500, 13589, 13599, 12594, 12591 -10172 , 13078, 13013, 13012, 13077, 13591, 13568, 13567, 13590 -10173 , 10090, 10686, 13013, 13078, 10129, 10715, 13568, 13591 -10174 , 13084, 13016, 10712, 10618, 13592, 13570, 10716, 10718 -10175 , 13086, 13022, 13016, 13084, 13593, 13571, 13570, 13592 -10176 , 13089, 13025, 13022, 13086, 13594, 13572, 13571, 13593 -10177 , 13092, 13028, 13025, 13089, 13595, 13573, 13572, 13594 -10178 , 13095, 13031, 13028, 13092, 13596, 13574, 13573, 13595 -10179 , 13098, 13034, 13031, 13095, 13597, 13575, 13574, 13596 -10180 , 13101, 13037, 13034, 13098, 13598, 13576, 13575, 13597 -10181 , 13104, 13040, 13037, 13101, 13600, 13577, 13576, 13598 -10182 , 13080, 13114, 12506, 12503, 13599, 13614, 12598, 12594 -10183 , 13107, 13045, 13040, 13104, 13602, 13578, 13577, 13600 -10184 , 13109, 13047, 13045, 13107, 13603, 13601, 13578, 13602 -10185 , 13174, 13112, 13047, 13109, 13625, 13604, 13601, 13603 -10186 , 13112, 13051, 13043, 13047, 13604, 13580, 13579, 13601 -10187 , 7204, 7210, 7453, 7451, 13112, 13174, 13625, 13604 -10188 , 7452, 7454, 7215, 7206, 13605, 13583, 13059, 13118 -10189 , 7454, 7455, 7217, 7215, 13583, 13626, 13178, 13059 -10190 , 13062, 13065, 13585, 13584, 13123, 13126, 13607, 13606 -10191 , 13059, 13062, 13584, 13583, 13178, 13123, 13606, 13626 -10192 , 13129, 13068, 13065, 13126, 13608, 13586, 13585, 13607 -10193 , 13132, 13071, 13068, 13129, 13609, 13587, 13586, 13608 -10194 , 13135, 13074, 13071, 13132, 13610, 13588, 13587, 13609 -10195 , 13138, 13077, 13074, 13135, 13611, 13590, 13588, 13610 -10196 , 13140, 13078, 13077, 13138, 13612, 13591, 13590, 13611 -10197 , 10128, 10090, 13078, 13140, 10134, 10129, 13591, 13612 -10198 , 7427, 7456, 7068, 7065, 13613, 13683, 12291, 12288 -10199 , 13114, 13142, 12509, 12506, 13614, 13629, 12603, 12598 -10200 , 13146, 13084, 10618, 10601, 13615, 13592, 10718, 10624 -10201 , 13148, 13086, 13084, 13146, 13616, 13593, 13592, 13615 -10202 , 13151, 13089, 13086, 13148, 13617, 13594, 13593, 13616 -10203 , 13154, 13092, 13089, 13151, 13618, 13595, 13594, 13617 -10204 , 13157, 13095, 13092, 13154, 13619, 13596, 13595, 13618 -10205 , 13160, 13098, 13095, 13157, 13620, 13597, 13596, 13619 -10206 , 13163, 13101, 13098, 13160, 13621, 13598, 13597, 13620 -10207 , 13166, 13104, 13101, 13163, 13622, 13600, 13598, 13621 -10208 , 13169, 13107, 13104, 13166, 13623, 13602, 13600, 13622 -10209 , 13171, 13109, 13107, 13169, 13624, 13603, 13602, 13623 -10210 , 13232, 13174, 13109, 13171, 13644, 13625, 13603, 13624 -10211 , 7210, 7219, 7457, 7453, 13174, 13232, 13644, 13625 -10212 , 7458, 7242, 7222, 7217, 13123, 13183, 13234, 13178 -10213 , 7455, 7459, 7458, 7217, 13626, 13606, 13123, 13178 -10214 , 7460, 7245, 7242, 7458, 13126, 13186, 13183, 13123 -10215 , 7459, 7461, 7460, 7458, 13606, 13607, 13126, 13123 -10216 , 7461, 7462, 7245, 7460, 13607, 13645, 13186, 13126 -10217 , 13129, 13132, 13609, 13608, 13188, 13191, 13628, 13627 -10218 , 13188, 13129, 13126, 13186, 13627, 13608, 13607, 13645 -10219 , 13132, 13135, 13610, 13609, 13191, 13194, 13630, 13628 -10220 , 13142, 13200, 12512, 12509, 13629, 13639, 12606, 12603 -10221 , 13197, 13138, 13135, 13194, 13631, 13611, 13610, 13630 -10222 , 13202, 13140, 13138, 13197, 13632, 13612, 13611, 13631 -10223 , 10137, 10128, 13140, 13202, 10180, 10134, 13612, 13632 -10224 , 10137, 13203, 10135, 10128, 10136, 10100, 10096, 10097 -10225 , 13205, 13146, 10601, 10603, 13633, 13615, 10624, 10625 -10226 , 13206, 13148, 13146, 13205, 13634, 13616, 13615, 13633 -10227 , 13208, 13151, 13148, 13206, 13635, 13617, 13616, 13634 -10228 , 13210, 13154, 13151, 13208, 13636, 13618, 13617, 13635 -10229 , 13212, 13157, 13154, 13210, 13637, 13619, 13618, 13636 -10230 , 13215, 13160, 13157, 13212, 13638, 13620, 13619, 13637 -10231 , 13218, 13163, 13160, 13215, 13640, 13621, 13620, 13638 -10232 , 13200, 13224, 12515, 12512, 13639, 13648, 12609, 12606 -10233 , 13221, 13166, 13163, 13218, 13641, 13622, 13621, 13640 -10234 , 13227, 13169, 13166, 13221, 13642, 13623, 13622, 13641 -10235 , 13229, 13171, 13169, 13227, 13643, 13624, 13623, 13642 -10236 , 13268, 13232, 13171, 13229, 13657, 13644, 13624, 13643 -10237 , 7219, 7240, 7463, 7457, 13232, 13268, 13657, 13644 -10238 , 7462, 7464, 7248, 7245, 13645, 13627, 13188, 13186 -10239 , 7464, 7465, 7254, 7248, 13627, 13628, 13191, 13188 -10240 , 7466, 7274, 7256, 7254, 13194, 13241, 13271, 13191 -10241 , 7465, 7467, 7466, 7254, 13628, 13630, 13194, 13191 -10242 , 7467, 7468, 7274, 7466, 13630, 13659, 13241, 13194 -10243 , 13197, 13202, 13632, 13631, 13243, 13245, 13647, 13646 -10244 , 13243, 13197, 13194, 13241, 13646, 13631, 13630, 13659 -10245 , 13202, 10137, 10180, 13632, 13245, 13273, 13660, 13647 -10246 , 7257, 7260, 7469, 7258, 10137, 13273, 10249, 10136 -10247 , 13224, 13250, 12518, 12515, 13648, 13661, 12612, 12609 -10248 , 11295, 10603, 10602, 10621, 13649, 10625, 10604, 10622 -10249 , 10602, 10603, 11295, 10621, 10599, 10600, 11291, 11018 -10250 , 11294, 13205, 10603, 11295, 13650, 13633, 10625, 13649 -10251 , 11302, 13206, 13205, 11294, 11453, 13634, 13633, 13650 -10252 , 11308, 13208, 13206, 11302, 11455, 13635, 13634, 11453 -10253 , 11313, 13210, 13208, 11308, 13651, 13636, 13635, 11455 -10254 , 13253, 13212, 13210, 11313, 13652, 13637, 13636, 13651 -10255 , 13255, 13215, 13212, 13253, 13653, 13638, 13637, 13652 -10256 , 13257, 13218, 13215, 13255, 13654, 13640, 13638, 13653 -10257 , 13260, 13221, 13218, 13257, 13655, 13641, 13640, 13654 -10258 , 13263, 13227, 13221, 13260, 13656, 13642, 13641, 13655 -10259 , 13265, 13229, 13227, 13263, 13658, 13643, 13642, 13656 -10260 , 13292, 13268, 13229, 13265, 13668, 13657, 13643, 13658 -10261 , 7240, 7271, 7472, 7463, 13268, 13292, 13668, 13657 -10262 , 7468, 7473, 7277, 7274, 13659, 13646, 13243, 13241 -10263 , 7473, 7474, 7280, 7277, 13646, 13647, 13245, 13243 -10264 , 7474, 7475, 7260, 7280, 13647, 13660, 13273, 13245 -10265 , 7475, 7476, 7469, 7260, 13660, 10189, 10249, 13273 -10266 , 13250, 13276, 12521, 12518, 13661, 13667, 12615, 12612 -10267 , 7476, 7477, 7470, 7469, 10189, 10188, 10142, 10249 -10268 , 7477, 7478, 7471, 7470, 10188, 10190, 10143, 10142 -10269 , 11296, 11295, 10621, 11318, 11460, 13649, 10622, 11458 -10270 , 10621, 11318, 11458, 10622, 10497, 10501, 10514, 10503 -10271 , 11298, 11294, 11295, 11296, 11461, 13650, 13649, 11460 -10272 , 11313, 13253, 11333, 11312, 11304, 11310, 11311, 11305 -10273 , 11333, 13253, 11313, 11312, 13662, 13652, 13651, 11464 -10274 , 13279, 13255, 13253, 11333, 13663, 13653, 13652, 13662 -10275 , 13281, 13257, 13255, 13279, 13664, 13654, 13653, 13663 -10276 , 13283, 13260, 13257, 13281, 13665, 13655, 13654, 13664 -10277 , 13287, 13263, 13260, 13283, 13666, 13656, 13655, 13665 -10278 , 13666, 13287, 13263, 13656, 13673, 13293, 13265, 13658 -10279 , 7271, 7294, 7303, 7483, 13292, 13304, 13293, 13265 -10280 , 7484, 7472, 7271, 7483, 13658, 13668, 13292, 13265 -10281 , 7483, 7303, 7485, 7484, 13265, 13293, 13673, 13658 -10282 , 13276, 13295, 12527, 12521, 13667, 13674, 12618, 12615 -10283 , 11333, 13279, 11360, 11339, 11311, 11336, 11337, 11332 -10284 , 11360, 13279, 11333, 11339, 13669, 13663, 13662, 11472 -10285 , 13298, 13281, 13279, 11360, 13670, 13664, 13663, 13669 -10286 , 13300, 13283, 13281, 13298, 13671, 13665, 13664, 13670 -10287 , 13301, 13287, 13283, 13300, 13672, 13666, 13665, 13671 -10288 , 13672, 13301, 13287, 13666, 13675, 13310, 13293, 13673 -10289 , 7303, 7307, 7488, 7485, 13293, 13310, 13675, 13673 -10290 , 13295, 13307, 12530, 12527, 13674, 13677, 12621, 12618 -10291 , 11360, 13298, 11389, 11366, 11337, 11363, 11364, 11359 -10292 , 11389, 13298, 11360, 11366, 11488, 13670, 13669, 11482 -10293 , 11485, 13300, 13298, 11389, 11548, 13671, 13670, 11488 -10294 , 13300, 13301, 13672, 13671, 11485, 13311, 13676, 11548 -10295 , 13317, 13310, 13301, 13311, 13678, 13675, 13672, 13676 -10296 , 7307, 7315, 7493, 7488, 13310, 13317, 13678, 13675 -10297 , 13307, 13315, 12533, 12530, 13677, 13679, 12624, 12621 -10298 , 7322, 7326, 7339, 7497, 13311, 13320, 11486, 11485 -10299 , 7498, 7499, 7322, 7497, 11548, 13676, 13311, 11485 -10300 , 7499, 7493, 7315, 7322, 13676, 13678, 13317, 13311 -10301 , 13315, 13319, 12536, 12533, 13679, 13680, 12627, 12624 -10302 , 13319, 13322, 12539, 12536, 13680, 13684, 12630, 12627 -10303 , 7388, 7517, 7390, 7389, 13325, 13342, 13340, 13324 -10304 , 7391, 7393, 7517, 7388, 13326, 13343, 13342, 13325 -10305 , 7394, 7518, 7396, 7395, 13328, 13350, 13348, 13327 -10306 , 7397, 7519, 7518, 7394, 13329, 13349, 13350, 13328 -10307 , 7398, 7520, 7519, 7397, 13330, 13352, 13349, 13329 -10308 , 7399, 7521, 7520, 7398, 13331, 13354, 13352, 13330 -10309 , 7399, 7400, 7522, 7523, 13331, 13332, 13682, 13681 -10310 , 7523, 7524, 7521, 7399, 13681, 13694, 13354, 13331 -10311 , 7400, 7401, 7525, 7522, 13332, 13333, 13685, 13682 -10312 , 7456, 7526, 7071, 7068, 13683, 13897, 12298, 12291 -10313 , 13322, 13323, 12542, 12539, 13684, 13698, 12633, 12630 -10314 , 7402, 7527, 7528, 7401, 13334, 13360, 13358, 13333 -10315 , 7401, 7528, 7529, 7525, 13333, 13358, 13697, 13685 -10316 , 7403, 7530, 7527, 7402, 13335, 13362, 13360, 13334 -10317 , 7404, 7531, 7530, 7403, 13336, 13364, 13362, 13335 -10318 , 7405, 7532, 7531, 7404, 13337, 13366, 13364, 13336 -10319 , 7405, 7406, 7533, 7534, 13337, 13339, 13687, 13686 -10320 , 7534, 7535, 7532, 7405, 13686, 13702, 13366, 13337 -10321 , 7406, 7390, 7536, 7533, 13339, 13340, 13688, 13687 -10322 , 7390, 7517, 7537, 7536, 13340, 13342, 13689, 13688 -10323 , 7393, 7538, 7539, 7517, 13343, 13374, 13341, 13342 -10324 , 7517, 7539, 7540, 7537, 13342, 13341, 13707, 13689 -10325 , 7407, 7541, 7538, 7393, 13344, 13376, 13374, 13343 -10326 , 7408, 7410, 7541, 7407, 13345, 13379, 13376, 13344 -10327 , 7412, 7542, 7414, 7413, 13347, 13386, 13384, 13346 -10328 , 7396, 7543, 7542, 7412, 13348, 13385, 13386, 13347 -10329 , 7396, 7518, 7544, 7545, 13348, 13350, 13691, 13690 -10330 , 7545, 7546, 7543, 7396, 13690, 13714, 13385, 13348 -10331 , 7518, 7519, 7547, 7544, 13350, 13349, 13692, 13691 -10332 , 7519, 7520, 7548, 7547, 13349, 13352, 13693, 13692 -10333 , 7520, 7521, 7524, 7548, 13352, 13354, 13694, 13693 -10334 , 13359, 13356, 13354, 13357, 13695, 13696, 13694, 13720 -10335 , 13361, 13358, 13356, 13359, 13724, 13697, 13696, 13695 -10336 , 13356, 13332, 13331, 13354, 13696, 13682, 13681, 13694 -10337 , 13358, 13333, 13332, 13356, 13697, 13685, 13682, 13696 -10338 , 7528, 7527, 7549, 7529, 13358, 13360, 13699, 13697 -10339 , 13323, 13338, 12545, 12542, 13698, 13722, 12636, 12633 -10340 , 7527, 7530, 7550, 7549, 13360, 13362, 13700, 13699 -10341 , 7530, 7531, 7551, 7550, 13362, 13364, 13701, 13700 -10342 , 7531, 7532, 7535, 7551, 13364, 13366, 13702, 13701 -10343 , 13373, 13371, 13369, 13372, 13706, 13703, 13704, 13705 -10344 , 13371, 13340, 13339, 13369, 13703, 13688, 13687, 13704 -10345 , 13372, 13369, 13366, 13370, 13705, 13704, 13702, 13732 -10346 , 13369, 13339, 13337, 13366, 13704, 13687, 13686, 13702 -10347 , 13375, 13341, 13371, 13373, 13736, 13707, 13703, 13706 -10348 , 13341, 13342, 13340, 13371, 13707, 13689, 13688, 13703 -10349 , 13374, 7538, 7539, 13341, 13708, 8561, 7540, 13707 -10350 , 13376, 7541, 7538, 13374, 13709, 8562, 8561, 13708 -10351 , 13379, 7410, 7541, 13376, 13710, 8563, 8562, 13709 -10352 , 7415, 7552, 7553, 7410, 13380, 13407, 13405, 13379 -10353 , 13405, 7553, 7410, 13379, 13743, 8564, 8563, 13710 -10354 , 7416, 7418, 7552, 7415, 13381, 13410, 13407, 13380 -10355 , 7419, 7554, 7421, 7420, 13383, 13415, 13413, 13382 -10356 , 7419, 7414, 7555, 7556, 13383, 13384, 13712, 13711 -10357 , 7556, 7557, 7554, 7419, 13711, 13747, 13415, 13383 -10358 , 7414, 7542, 7558, 7555, 13384, 13386, 13713, 13712 -10359 , 7542, 7543, 7546, 7558, 13386, 13385, 13714, 13713 -10360 , 13390, 13353, 13351, 13389, 13719, 13715, 13716, 13717 -10361 , 13353, 13349, 13350, 13351, 13715, 13692, 13691, 13716 -10362 , 13389, 13351, 13385, 13388, 13717, 13716, 13714, 13752 -10363 , 13351, 13350, 13348, 13385, 13716, 13691, 13690, 13714 -10364 , 13391, 13355, 13353, 13390, 13721, 13718, 13715, 13719 -10365 , 13718, 13355, 13353, 13715, 13693, 13352, 13349, 13692 -10366 , 13392, 13357, 13355, 13391, 13723, 13720, 13718, 13721 -10367 , 13720, 13357, 13355, 13718, 13694, 13354, 13352, 13693 -10368 , 13338, 13368, 12550, 12545, 13722, 13751, 12639, 12636 -10369 , 13393, 13359, 13357, 13392, 13725, 13695, 13720, 13723 -10370 , 13396, 13361, 13359, 13393, 13727, 13724, 13695, 13725 -10371 , 13397, 13363, 13361, 13396, 13729, 13726, 13724, 13727 -10372 , 13726, 13363, 13361, 13724, 13699, 13360, 13358, 13697 -10373 , 13398, 13365, 13363, 13397, 13731, 13728, 13726, 13729 -10374 , 13728, 13365, 13363, 13726, 13700, 13362, 13360, 13699 -10375 , 13399, 13367, 13365, 13398, 13733, 13730, 13728, 13731 -10376 , 13730, 13367, 13365, 13728, 13701, 13364, 13362, 13700 -10377 , 13400, 13370, 13367, 13399, 13734, 13732, 13730, 13733 -10378 , 13732, 13370, 13367, 13730, 13702, 13366, 13364, 13701 -10379 , 13401, 13372, 13370, 13400, 13735, 13705, 13732, 13734 -10380 , 13402, 13373, 13372, 13401, 13737, 13706, 13705, 13735 -10381 , 13403, 13375, 13373, 13402, 13739, 13736, 13706, 13737 -10382 , 13404, 13377, 13375, 13403, 13741, 13738, 13736, 13739 -10383 , 13738, 13377, 13375, 13736, 13708, 13374, 13341, 13707 -10384 , 13406, 13378, 13377, 13404, 13742, 13740, 13738, 13741 -10385 , 13740, 13378, 13377, 13738, 13709, 13376, 13374, 13708 -10386 , 13408, 13405, 13378, 13406, 13769, 13743, 13740, 13742 -10387 , 13740, 13378, 13376, 13709, 13743, 13405, 13379, 13710 -10388 , 13407, 7552, 7553, 13405, 13744, 8565, 8564, 13743 -10389 , 13410, 7418, 7552, 13407, 13745, 8566, 8565, 13744 -10390 , 7422, 7424, 7559, 7418, 13411, 13442, 13439, 13410 -10391 , 13439, 7559, 7418, 13410, 13774, 8567, 8566, 13745 -10392 , 7421, 7560, 7426, 7425, 13413, 13447, 13446, 13412 -10393 , 7421, 7554, 7557, 7561, 13413, 13415, 13747, 13746 -10394 , 7561, 7562, 7560, 7421, 13746, 13777, 13447, 13413 -10395 , 13418, 13387, 13414, 13417, 13753, 13748, 13749, 13750 -10396 , 13748, 13387, 13414, 13749, 13713, 13386, 13384, 13712 -10397 , 13417, 13414, 13415, 13416, 13750, 13749, 13747, 13778 -10398 , 13414, 13384, 13383, 13415, 13749, 13712, 13711, 13747 -10399 , 13368, 13395, 12556, 12550, 13751, 13775, 12642, 12639 -10400 , 13421, 13388, 13387, 13418, 13754, 13752, 13748, 13753 -10401 , 13752, 13388, 13387, 13748, 13714, 13385, 13386, 13713 -10402 , 13422, 13389, 13388, 13421, 13755, 13717, 13752, 13754 -10403 , 13423, 13390, 13389, 13422, 13756, 13719, 13717, 13755 -10404 , 13424, 13391, 13390, 13423, 13757, 13721, 13719, 13756 -10405 , 13425, 13392, 13391, 13424, 13758, 13723, 13721, 13757 -10406 , 13426, 13393, 13392, 13425, 13759, 13725, 13723, 13758 -10407 , 13427, 13396, 13393, 13426, 13760, 13727, 13725, 13759 -10408 , 13428, 13397, 13396, 13427, 13761, 13729, 13727, 13760 -10409 , 13429, 13398, 13397, 13428, 13762, 13731, 13729, 13761 -10410 , 13430, 13399, 13398, 13429, 13763, 13733, 13731, 13762 -10411 , 13431, 13400, 13399, 13430, 13764, 13734, 13733, 13763 -10412 , 13432, 13401, 13400, 13431, 13765, 13735, 13734, 13764 -10413 , 13433, 13402, 13401, 13432, 13766, 13737, 13735, 13765 -10414 , 13434, 13403, 13402, 13433, 13767, 13739, 13737, 13766 -10415 , 13435, 13404, 13403, 13434, 13768, 13741, 13739, 13767 -10416 , 13436, 13406, 13404, 13435, 13770, 13742, 13741, 13768 -10417 , 13438, 13408, 13406, 13436, 13772, 13769, 13742, 13770 -10418 , 13440, 13409, 13408, 13438, 13773, 13771, 13769, 13772 -10419 , 13771, 13409, 13408, 13769, 13744, 13407, 13405, 13743 -10420 , 13441, 13439, 13409, 13440, 13801, 13774, 13771, 13773 -10421 , 13771, 13409, 13407, 13744, 13774, 13439, 13410, 13745 -10422 , 13442, 7424, 7559, 13439, 13776, 8568, 8567, 13774 -10423 , 13395, 13419, 12559, 12556, 13775, 13794, 12647, 12642 -10424 , 7428, 7563, 7564, 7424, 13443, 13473, 13471, 13442 -10425 , 13471, 7564, 7424, 13442, 13804, 8569, 8568, 13776 -10426 , 7430, 7431, 7563, 7428, 13444, 13476, 13473, 13443 -10427 , 7426, 7565, 7433, 7432, 13446, 13478, 13477, 13445 -10428 , 7560, 7566, 7565, 7426, 13447, 13448, 13478, 13446 -10429 , 7562, 7567, 7566, 7560, 13777, 13806, 13448, 13447 -10430 , 13450, 13417, 13416, 13449, 13780, 13750, 13778, 13779 -10431 , 13449, 13416, 13447, 13448, 13779, 13778, 13777, 13806 -10432 , 13416, 13415, 13413, 13447, 13778, 13747, 13746, 13777 -10433 , 13451, 13418, 13417, 13450, 13781, 13753, 13750, 13780 -10434 , 13452, 13421, 13418, 13451, 13782, 13754, 13753, 13781 -10435 , 13453, 13422, 13421, 13452, 13783, 13755, 13754, 13782 -10436 , 13454, 13423, 13422, 13453, 13784, 13756, 13755, 13783 -10437 , 13455, 13424, 13423, 13454, 13785, 13757, 13756, 13784 -10438 , 13456, 13425, 13424, 13455, 13786, 13758, 13757, 13785 -10439 , 13457, 13426, 13425, 13456, 13787, 13759, 13758, 13786 -10440 , 13458, 13427, 13426, 13457, 13788, 13760, 13759, 13787 -10441 , 13459, 13428, 13427, 13458, 13789, 13761, 13760, 13788 -10442 , 13460, 13429, 13428, 13459, 13790, 13762, 13761, 13789 -10443 , 13461, 13430, 13429, 13460, 13791, 13763, 13762, 13790 -10444 , 13462, 13431, 13430, 13461, 13792, 13764, 13763, 13791 -10445 , 13463, 13432, 13431, 13462, 13795, 13765, 13764, 13792 -10446 , 13419, 13793, 12645, 12559, 13794, 13813, 12650, 12647 -10447 , 13465, 13433, 13432, 13463, 13796, 13766, 13765, 13795 -10448 , 13466, 13434, 13433, 13465, 13797, 13767, 13766, 13796 -10449 , 13467, 13435, 13434, 13466, 13798, 13768, 13767, 13797 -10450 , 13468, 13436, 13435, 13467, 13799, 13770, 13768, 13798 -10451 , 13469, 13438, 13436, 13468, 13800, 13772, 13770, 13799 -10452 , 13470, 13440, 13438, 13469, 13802, 13773, 13772, 13800 -10453 , 13472, 13441, 13440, 13470, 13803, 13801, 13773, 13802 -10454 , 13474, 13471, 13441, 13472, 13830, 13804, 13801, 13803 -10455 , 13801, 13441, 13439, 13774, 13804, 13471, 13442, 13776 -10456 , 13473, 7563, 7564, 13471, 13805, 8570, 8569, 13804 -10457 , 7431, 7436, 7568, 7563, 13476, 13506, 13475, 13473 -10458 , 13475, 7568, 7563, 13473, 13833, 7573, 8570, 13805 -10459 , 7565, 7569, 7438, 7433, 13478, 13479, 13509, 13477 -10460 , 7566, 7570, 7569, 7565, 13448, 13480, 13479, 13478 -10461 , 7567, 7571, 7570, 7566, 13806, 13837, 13480, 13448 -10462 , 13482, 13450, 13449, 13481, 13808, 13780, 13779, 13807 -10463 , 13449, 13481, 13807, 13779, 13448, 13480, 13837, 13806 -10464 , 13483, 13451, 13450, 13482, 13809, 13781, 13780, 13808 -10465 , 13484, 13452, 13451, 13483, 13810, 13782, 13781, 13809 -10466 , 13485, 13453, 13452, 13484, 13811, 13783, 13782, 13810 -10467 , 13487, 13454, 13453, 13485, 13812, 13784, 13783, 13811 -10468 , 13488, 13455, 13454, 13487, 13815, 13785, 13784, 13812 -10469 , 12650, 13813, 13793, 12645, 12739, 14243, 13814, 12651 -10470 , 12645, 13793, 13420, 12561, 12651, 13814, 13464, 12566 -10471 , 13489, 13456, 13455, 13488, 13816, 13786, 13785, 13815 -10472 , 13490, 13457, 13456, 13489, 13817, 13787, 13786, 13816 -10473 , 13491, 13458, 13457, 13490, 13818, 13788, 13787, 13817 -10474 , 13492, 13459, 13458, 13491, 13819, 13789, 13788, 13818 -10475 , 13493, 13460, 13459, 13492, 13820, 13790, 13789, 13819 -10476 , 13494, 13461, 13460, 13493, 13821, 13791, 13790, 13820 -10477 , 13495, 13462, 13461, 13494, 13822, 13792, 13791, 13821 -10478 , 13496, 13463, 13462, 13495, 13823, 13795, 13792, 13822 -10479 , 13497, 13465, 13463, 13496, 13824, 13796, 13795, 13823 -10480 , 13498, 13466, 13465, 13497, 13825, 13797, 13796, 13824 -10481 , 13499, 13467, 13466, 13498, 13826, 13798, 13797, 13825 -10482 , 13500, 13468, 13467, 13499, 13827, 13799, 13798, 13826 -10483 , 13501, 13469, 13468, 13500, 13828, 13800, 13799, 13827 -10484 , 13502, 13470, 13469, 13501, 13829, 13802, 13800, 13828 -10485 , 13503, 13472, 13470, 13502, 13831, 13803, 13802, 13829 -10486 , 13504, 13474, 13472, 13503, 13832, 13830, 13803, 13831 -10487 , 13505, 13475, 13474, 13504, 13861, 13833, 13830, 13832 -10488 , 13830, 13474, 13471, 13804, 13833, 13475, 13473, 13805 -10489 , 7568, 7436, 7572, 7573, 13475, 13506, 13834, 13833 -10490 , 7436, 7441, 7574, 7572, 13506, 13508, 13835, 13834 -10491 , 7441, 7442, 7575, 7574, 13508, 13538, 13866, 13835 -10492 , 7434, 7576, 7146, 7137, 13814, 13855, 12656, 12651 -10493 , 7569, 7577, 7443, 7438, 13479, 13510, 13539, 13509 -10494 , 7569, 7570, 7571, 7578, 13479, 13480, 13837, 13836 -10495 , 7578, 7579, 7577, 7569, 13836, 13868, 13510, 13479 -10496 , 13513, 13482, 13481, 13512, 13839, 13808, 13807, 13838 -10497 , 13512, 13481, 13480, 13511, 13838, 13807, 13837, 13869 -10498 , 13514, 13483, 13482, 13513, 13840, 13809, 13808, 13839 -10499 , 13515, 13484, 13483, 13514, 13841, 13810, 13809, 13840 -10500 , 13516, 13485, 13484, 13515, 13842, 13811, 13810, 13841 -10501 , 13517, 13487, 13485, 13516, 13843, 13812, 13811, 13842 -10502 , 13518, 13488, 13487, 13517, 13844, 13815, 13812, 13843 -10503 , 13519, 13489, 13488, 13518, 13845, 13816, 13815, 13844 -10504 , 10706, 13490, 13489, 13519, 13846, 13817, 13816, 13845 -10505 , 10707, 13491, 13490, 10706, 13847, 13818, 13817, 13846 -10506 , 13520, 13492, 13491, 10707, 13848, 13819, 13818, 13847 -10507 , 13521, 13493, 13492, 13520, 13849, 13820, 13819, 13848 -10508 , 13522, 13494, 13493, 13521, 13850, 13821, 13820, 13849 -10509 , 13523, 13495, 13494, 13522, 13851, 13822, 13821, 13850 -10510 , 13524, 13496, 13495, 13523, 13852, 13823, 13822, 13851 -10511 , 13527, 13497, 13496, 13524, 13853, 13824, 13823, 13852 -10512 , 13528, 13498, 13497, 13527, 13854, 13825, 13824, 13853 -10513 , 13529, 13499, 13498, 13528, 13856, 13826, 13825, 13854 -10514 , 7576, 7580, 7149, 7146, 13855, 14256, 12746, 12656 -10515 , 13530, 13500, 13499, 13529, 13857, 13827, 13826, 13856 -10516 , 13531, 13501, 13500, 13530, 13858, 13828, 13827, 13857 -10517 , 13532, 13502, 13501, 13531, 13859, 13829, 13828, 13858 -10518 , 13533, 13503, 13502, 13532, 13860, 13831, 13829, 13859 -10519 , 13534, 13504, 13503, 13533, 13862, 13832, 13831, 13860 -10520 , 13536, 13505, 13504, 13534, 13864, 13861, 13832, 13862 -10521 , 13537, 13535, 13505, 13536, 13865, 13863, 13861, 13864 -10522 , 13863, 13535, 13505, 13861, 13834, 13506, 13475, 13833 -10523 , 13558, 13538, 13535, 13537, 13891, 13866, 13863, 13865 -10524 , 13538, 13508, 13506, 13535, 13866, 13835, 13834, 13863 -10525 , 7442, 7444, 7581, 7575, 13538, 13558, 13891, 13866 -10526 , 7443, 7577, 7579, 7582, 13539, 13510, 13868, 13867 -10527 , 7582, 7583, 7445, 7443, 13867, 13892, 13561, 13539 -10528 , 13542, 13512, 13511, 13541, 13871, 13838, 13869, 13870 -10529 , 13541, 13511, 13510, 13540, 13870, 13869, 13868, 13893 -10530 , 13480, 13511, 13869, 13837, 13479, 13510, 13868, 13836 -10531 , 13543, 13513, 13512, 13542, 13872, 13839, 13838, 13871 -10532 , 13544, 13514, 13513, 13543, 13873, 13840, 13839, 13872 -10533 , 13545, 13515, 13514, 13544, 13874, 13841, 13840, 13873 -10534 , 13546, 13516, 13515, 13545, 13875, 13842, 13841, 13874 -10535 , 13548, 13517, 13516, 13546, 13876, 13843, 13842, 13875 -10536 , 10708, 13518, 13517, 13548, 13877, 13844, 13843, 13876 -10537 , 10107, 13519, 13518, 10708, 13878, 13845, 13844, 13877 -10538 , 13519, 10706, 10106, 10107, 10672, 10675, 10103, 10102 -10539 , 10106, 10706, 13519, 10107, 13880, 13846, 13845, 13878 -10540 , 7584, 7440, 7143, 7152, 13879, 13895, 12662, 12660 -10541 , 7152, 7155, 7585, 7584, 12660, 12756, 14296, 13879 -10542 , 10111, 10707, 10706, 10106, 10145, 13847, 13846, 13880 -10543 , 10707, 13520, 10115, 10111, 10678, 10681, 10113, 10109 -10544 , 10115, 13520, 10707, 10111, 10149, 13848, 13847, 10145 -10545 , 10146, 13521, 13520, 10115, 10151, 13849, 13848, 10149 -10546 , 10709, 13522, 13521, 10146, 10195, 13850, 13849, 10151 -10547 , 10710, 13523, 13522, 10709, 10196, 13851, 13850, 10195 -10548 , 10714, 13524, 13523, 10710, 10720, 13852, 13851, 10196 -10549 , 10719, 13527, 13524, 10714, 13881, 13853, 13852, 10720 -10550 , 13549, 13528, 13527, 10719, 13882, 13854, 13853, 13881 -10551 , 13550, 13529, 13528, 13549, 13883, 13856, 13854, 13882 -10552 , 13551, 13530, 13529, 13550, 13884, 13857, 13856, 13883 -10553 , 13552, 13531, 13530, 13551, 13885, 13858, 13857, 13884 -10554 , 13553, 13532, 13531, 13552, 13886, 13859, 13858, 13885 -10555 , 13554, 13533, 13532, 13553, 13887, 13860, 13859, 13886 -10556 , 13555, 13534, 13533, 13554, 13888, 13862, 13860, 13887 -10557 , 13556, 13536, 13534, 13555, 13889, 13864, 13862, 13888 -10558 , 13557, 13537, 13536, 13556, 13890, 13865, 13864, 13889 -10559 , 13890, 13557, 13537, 13865, 13916, 13579, 13558, 13891 -10560 , 7444, 7447, 7586, 7581, 13558, 13579, 13916, 13891 -10561 , 7445, 7587, 7449, 7448, 13561, 13582, 13581, 13560 -10562 , 7583, 7588, 7587, 7445, 13892, 13917, 13582, 13561 -10563 , 13563, 13541, 13540, 13562, 13896, 13870, 13893, 13894 -10564 , 13562, 13540, 13561, 13582, 13894, 13893, 13892, 13917 -10565 , 13540, 13510, 13539, 13561, 13893, 13868, 13867, 13892 -10566 , 13564, 13542, 13541, 13563, 13898, 13871, 13870, 13896 -10567 , 7526, 7589, 7074, 7071, 13897, 14007, 12301, 12298 -10568 , 13565, 13543, 13542, 13564, 13899, 13872, 13871, 13898 -10569 , 13566, 13544, 13543, 13565, 13900, 13873, 13872, 13899 -10570 , 13567, 13545, 13544, 13566, 13901, 13874, 13873, 13900 -10571 , 13568, 13546, 13545, 13567, 13902, 13875, 13874, 13901 -10572 , 10715, 13548, 13546, 13568, 13903, 13876, 13875, 13902 -10573 , 13548, 10708, 10119, 10715, 10687, 10688, 10118, 10686 -10574 , 10119, 10708, 13548, 10715, 13904, 13877, 13876, 13903 -10575 , 10108, 10107, 10708, 10119, 10153, 13878, 13877, 13904 -10576 , 10112, 10106, 10107, 10108, 10154, 13880, 13878, 10153 -10577 , 13570, 13549, 10719, 10716, 13905, 13882, 13881, 10721 -10578 , 13571, 13550, 13549, 13570, 13906, 13883, 13882, 13905 -10579 , 13572, 13551, 13550, 13571, 13907, 13884, 13883, 13906 -10580 , 13573, 13552, 13551, 13572, 13910, 13885, 13884, 13907 -10581 , 13908, 13526, 12579, 12666, 13909, 13926, 12672, 12669 -10582 , 13908, 13909, 12669, 12666, 13895, 14312, 12760, 12662 -10583 , 13507, 13908, 12666, 12572, 13486, 13895, 12662, 12570 -10584 , 13574, 13553, 13552, 13573, 13911, 13886, 13885, 13910 -10585 , 13575, 13554, 13553, 13574, 13912, 13887, 13886, 13911 -10586 , 13576, 13555, 13554, 13575, 13913, 13888, 13887, 13912 -10587 , 13577, 13556, 13555, 13576, 13914, 13889, 13888, 13913 -10588 , 13578, 13557, 13556, 13577, 13915, 13890, 13889, 13914 -10589 , 13915, 13578, 13557, 13890, 13935, 13601, 13579, 13916 -10590 , 7450, 7451, 7590, 7447, 13580, 13604, 13601, 13579 -10591 , 7447, 7590, 7591, 7586, 13579, 13601, 13935, 13916 -10592 , 7587, 7454, 7452, 7449, 13582, 13583, 13605, 13581 -10593 , 7588, 7592, 7454, 7587, 13917, 13937, 13583, 13582 -10594 , 13585, 13563, 13562, 13584, 13919, 13896, 13894, 13918 -10595 , 13584, 13562, 13582, 13583, 13918, 13894, 13917, 13937 -10596 , 13586, 13564, 13563, 13585, 13920, 13898, 13896, 13919 -10597 , 13587, 13565, 13564, 13586, 13921, 13899, 13898, 13920 -10598 , 13588, 13566, 13565, 13587, 13922, 13900, 13899, 13921 -10599 , 13590, 13567, 13566, 13588, 13923, 13901, 13900, 13922 -10600 , 13591, 13568, 13567, 13590, 13924, 13902, 13901, 13923 -10601 , 10129, 10715, 13568, 13591, 13925, 13903, 13902, 13924 -10602 , 10120, 10119, 10715, 10129, 10168, 13904, 13903, 13925 -10603 , 13526, 13547, 12582, 12579, 13926, 13936, 12675, 12672 -10604 , 13592, 13570, 10716, 10718, 10727, 13905, 10721, 10722 -10605 , 13593, 13571, 13570, 13592, 13927, 13906, 13905, 10727 -10606 , 13594, 13572, 13571, 13593, 13928, 13907, 13906, 13927 -10607 , 13595, 13573, 13572, 13594, 13929, 13910, 13907, 13928 -10608 , 13596, 13574, 13573, 13595, 13930, 13911, 13910, 13929 -10609 , 13597, 13575, 13574, 13596, 13931, 13912, 13911, 13930 -10610 , 13598, 13576, 13575, 13597, 13932, 13913, 13912, 13931 -10611 , 13600, 13577, 13576, 13598, 13933, 13914, 13913, 13932 -10612 , 13602, 13578, 13577, 13600, 13934, 13915, 13914, 13933 -10613 , 13934, 13602, 13578, 13915, 13953, 13603, 13601, 13935 -10614 , 7451, 7453, 7593, 7590, 13604, 13625, 13603, 13601 -10615 , 7590, 7593, 7594, 7591, 13601, 13603, 13953, 13935 -10616 , 13547, 13559, 12585, 12582, 13936, 13946, 12678, 12675 -10617 , 7592, 7595, 7455, 7454, 13937, 13954, 13626, 13583 -10618 , 13607, 13585, 13584, 13606, 13939, 13919, 13918, 13938 -10619 , 13606, 13584, 13583, 13626, 13938, 13918, 13937, 13954 -10620 , 13608, 13586, 13585, 13607, 13940, 13920, 13919, 13939 -10621 , 13609, 13587, 13586, 13608, 13941, 13921, 13920, 13940 -10622 , 13610, 13588, 13587, 13609, 13942, 13922, 13921, 13941 -10623 , 13611, 13590, 13588, 13610, 13943, 13923, 13922, 13942 -10624 , 13612, 13591, 13590, 13611, 13944, 13924, 13923, 13943 -10625 , 10134, 10129, 13591, 13612, 13945, 13925, 13924, 13944 -10626 , 10129, 10120, 10168, 13925, 10134, 10130, 10169, 13945 -10627 , 13615, 13592, 10718, 10624, 10728, 10727, 10722, 10724 -10628 , 13616, 13593, 13592, 13615, 10735, 13927, 10727, 10728 -10629 , 13559, 13569, 12588, 12585, 13946, 13960, 12681, 12678 -10630 , 13617, 13594, 13593, 13616, 10774, 13928, 13927, 10735 -10631 , 13618, 13595, 13594, 13617, 13947, 13929, 13928, 10774 -10632 , 13619, 13596, 13595, 13618, 13948, 13930, 13929, 13947 -10633 , 13620, 13597, 13596, 13619, 13949, 13931, 13930, 13948 -10634 , 13621, 13598, 13597, 13620, 13950, 13932, 13931, 13949 -10635 , 13622, 13600, 13598, 13621, 13951, 13933, 13932, 13950 -10636 , 13623, 13602, 13600, 13622, 13952, 13934, 13933, 13951 -10637 , 13952, 13623, 13602, 13934, 13967, 13624, 13603, 13953 -10638 , 7453, 7457, 7596, 7593, 13625, 13644, 13624, 13603 -10639 , 7593, 7596, 7597, 7594, 13603, 13624, 13967, 13953 -10640 , 7595, 7598, 7459, 7455, 13954, 13938, 13606, 13626 -10641 , 7598, 7599, 7461, 7459, 13938, 13939, 13607, 13606 -10642 , 7600, 7464, 7462, 7461, 13608, 13627, 13645, 13607 -10643 , 7599, 7601, 7600, 7461, 13939, 13940, 13608, 13607 -10644 , 7601, 7602, 7464, 7600, 13940, 13969, 13627, 13608 -10645 , 13609, 13610, 13942, 13941, 13628, 13630, 13956, 13955 -10646 , 13628, 13609, 13608, 13627, 13955, 13941, 13940, 13969 -10647 , 13610, 13611, 13943, 13942, 13630, 13631, 13957, 13956 -10648 , 13632, 13612, 13611, 13631, 13958, 13944, 13943, 13957 -10649 , 10180, 10134, 13612, 13632, 13959, 13945, 13944, 13958 -10650 , 13959, 10180, 10134, 13945, 10181, 10138, 10130, 10169 -10651 , 13569, 13589, 12591, 12588, 13960, 13968, 12684, 12681 -10652 , 13633, 13615, 10624, 10625, 10737, 10728, 10724, 10732 -10653 , 13634, 13616, 13615, 13633, 10739, 10735, 10728, 10737 -10654 , 13635, 13617, 13616, 13634, 10746, 10774, 10735, 10739 -10655 , 13636, 13618, 13617, 13635, 13961, 13947, 10774, 10746 -10656 , 13637, 13619, 13618, 13636, 13962, 13948, 13947, 13961 -10657 , 13638, 13620, 13619, 13637, 13963, 13949, 13948, 13962 -10658 , 13640, 13621, 13620, 13638, 13964, 13950, 13949, 13963 -10659 , 13641, 13622, 13621, 13640, 13965, 13951, 13950, 13964 -10660 , 13642, 13623, 13622, 13641, 13966, 13952, 13951, 13965 -10661 , 13966, 13642, 13623, 13952, 13980, 13643, 13624, 13967 -10662 , 7457, 7463, 7603, 7596, 13644, 13657, 13643, 13624 -10663 , 7596, 7603, 7604, 7597, 13624, 13643, 13980, 13967 -10664 , 13589, 13599, 12594, 12591, 13968, 13973, 12687, 12684 -10665 , 7602, 7605, 7465, 7464, 13969, 13955, 13628, 13627 -10666 , 7605, 7606, 7467, 7465, 13955, 13956, 13630, 13628 -10667 , 12260, 13970, 7014, 7015, 12267, 15254, 7607, 7038 -10668 , 7608, 7473, 7468, 7467, 13631, 13646, 13659, 13630 -10669 , 7606, 7609, 7608, 7467, 13956, 13957, 13631, 13630 -10670 , 7609, 7610, 7473, 7608, 13957, 13981, 13646, 13631 -10671 , 13632, 10180, 13959, 13958, 13647, 13660, 13972, 13971 -10672 , 13631, 13632, 13958, 13957, 13646, 13647, 13971, 13981 -10673 , 10180, 10138, 10181, 13959, 13660, 10189, 10227, 13972 -10674 , 10137, 10136, 10138, 10180, 13273, 10249, 10189, 13660 -10675 , 13649, 10625, 10604, 10622, 10742, 10732, 10619, 10623 -10676 , 13650, 13633, 10625, 13649, 10744, 10737, 10732, 10742 -10677 , 11453, 13634, 13633, 13650, 10748, 10739, 10737, 10744 -10678 , 11455, 13635, 13634, 11453, 10775, 10746, 10739, 10748 -10679 , 13651, 13636, 13635, 11455, 13974, 13961, 10746, 10775 -10680 , 13599, 13614, 12598, 12594, 13973, 13984, 12690, 12687 -10681 , 13652, 13637, 13636, 13651, 13975, 13962, 13961, 13974 -10682 , 13653, 13638, 13637, 13652, 13976, 13963, 13962, 13975 -10683 , 13654, 13640, 13638, 13653, 13977, 13964, 13963, 13976 -10684 , 13655, 13641, 13640, 13654, 13978, 13965, 13964, 13977 -10685 , 13656, 13642, 13641, 13655, 13979, 13966, 13965, 13978 -10686 , 13979, 13656, 13642, 13966, 13996, 13658, 13643, 13980 -10687 , 7463, 7472, 7484, 7603, 13657, 13668, 13658, 13643 -10688 , 7603, 7484, 7611, 7604, 13643, 13658, 13996, 13980 -10689 , 7610, 7612, 7474, 7473, 13981, 13971, 13647, 13646 -10690 , 7612, 7613, 7475, 7474, 13971, 13972, 13660, 13647 -10691 , 7613, 7614, 7476, 7475, 13972, 10227, 10189, 13660 -10692 , 7614, 7615, 7477, 7476, 10227, 10191, 10188, 10189 -10693 , 7477, 7616, 7617, 7478, 10188, 13982, 13983, 10190 -10694 , 7615, 7618, 7616, 7477, 10191, 13997, 13982, 10188 -10695 , 7478, 7617, 7619, 7479, 10190, 13983, 10620, 10192 -10696 , 7478, 10190, 10192, 7479, 7471, 10143, 10254, 7267 -10697 , 10620, 7619, 7479, 10192, 10616, 7620, 7480, 10259 -10698 , 11458, 10622, 10503, 10514, 13985, 10623, 10608, 10628 -10699 , 13614, 13629, 12603, 12598, 13984, 13999, 12693, 12690 -10700 , 11460, 13649, 10622, 11458, 13986, 10742, 10623, 13985 -10701 , 11461, 13650, 13649, 11460, 13987, 10744, 10742, 13986 -10702 , 13650, 11453, 11452, 11461, 11294, 11302, 11301, 11298 -10703 , 11452, 11453, 13650, 11461, 13988, 10748, 10744, 13987 -10704 , 11454, 11455, 11453, 11452, 13989, 10775, 10748, 13988 -10705 , 11455, 13651, 11464, 11454, 11308, 11313, 11312, 11307 -10706 , 11464, 13651, 11455, 11454, 13990, 13974, 10775, 13989 -10707 , 13662, 13652, 13651, 11464, 13991, 13975, 13974, 13990 -10708 , 13663, 13653, 13652, 13662, 13992, 13976, 13975, 13991 -10709 , 13664, 13654, 13653, 13663, 13993, 13977, 13976, 13992 -10710 , 13665, 13655, 13654, 13664, 13994, 13978, 13977, 13993 -10711 , 13666, 13656, 13655, 13665, 13995, 13979, 13978, 13994 -10712 , 13995, 13666, 13656, 13979, 14004, 13673, 13658, 13996 -10713 , 7484, 7485, 7621, 7611, 13658, 13673, 14004, 13996 -10714 , 7618, 7622, 7617, 7616, 13997, 13998, 13983, 13982 -10715 , 7622, 7623, 7619, 7617, 13998, 10612, 10620, 13983 -10716 , 7623, 7624, 7620, 7619, 10612, 10611, 10616, 10620 -10717 , 7624, 7625, 7482, 7620, 10611, 10614, 10506, 10616 -10718 , 10506, 7482, 7620, 10616, 10496, 7481, 7480, 10259 -10719 , 7625, 7626, 7486, 7482, 10614, 10626, 10504, 10506 -10720 , 10504, 7486, 7482, 10506, 10502, 7301, 7291, 10500 -10721 , 7626, 7627, 7487, 7486, 10626, 11739, 11523, 10504 -10722 , 11523, 7487, 7486, 10504, 11035, 7302, 7301, 10502 -10723 , 10514, 11458, 13985, 10628, 11456, 11457, 11526, 11524 -10724 , 10504, 10514, 10628, 10626, 11523, 11456, 11524, 11739 -10725 , 13629, 13639, 12606, 12603, 13999, 14006, 12696, 12693 -10726 , 11459, 11460, 11458, 11457, 11528, 13986, 13985, 11526 -10727 , 11462, 11461, 11460, 11459, 11530, 13987, 13986, 11528 -10728 , 11463, 11452, 11461, 11462, 11532, 13988, 13987, 11530 -10729 , 11465, 11454, 11452, 11463, 11534, 13989, 13988, 11532 -10730 , 11466, 11464, 11454, 11465, 11536, 13990, 13989, 11534 -10731 , 11464, 13662, 11472, 11466, 11312, 11333, 11339, 11334 -10732 , 11472, 13662, 11464, 11466, 14000, 13991, 13990, 11536 -10733 , 13669, 13663, 13662, 11472, 14001, 13992, 13991, 14000 -10734 , 13670, 13664, 13663, 13669, 14002, 13993, 13992, 14001 -10735 , 13671, 13665, 13664, 13670, 14003, 13994, 13993, 14002 -10736 , 13672, 13666, 13665, 13671, 14005, 13995, 13994, 14003 -10737 , 13675, 13673, 13666, 13672, 14009, 14004, 13995, 14005 -10738 , 7485, 7488, 7628, 7621, 13673, 13675, 14009, 14004 -10739 , 13639, 13648, 12609, 12606, 14006, 14011, 12699, 12696 -10740 , 11472, 13669, 11482, 11474, 11339, 11360, 11366, 11361 -10741 , 11482, 13669, 11472, 11474, 11547, 14001, 14000, 11543 -10742 , 11488, 13670, 13669, 11482, 11596, 14002, 14001, 11547 -10743 , 13670, 13671, 14003, 14002, 11488, 11548, 14008, 11596 -10744 , 7589, 7631, 7077, 7074, 14007, 14173, 12305, 12301 -10745 , 14008, 11548, 13671, 14003, 14010, 13676, 13672, 14005 -10746 , 7488, 7493, 7499, 7632, 13675, 13678, 13676, 13672 -10747 , 7633, 7628, 7488, 7632, 14005, 14009, 13675, 13672 -10748 , 7632, 7499, 7634, 7633, 13672, 13676, 14010, 14005 -10749 , 7638, 7639, 7498, 7637, 11596, 14008, 11548, 11488 -10750 , 7639, 7634, 7499, 7498, 14008, 14010, 13676, 11548 -10751 , 13648, 13661, 12612, 12609, 14011, 14012, 12702, 12699 -10752 , 13661, 13667, 12615, 12612, 14012, 14013, 12705, 12702 -10753 , 7522, 7659, 7524, 7523, 13682, 13696, 13694, 13681 -10754 , 13667, 13674, 12618, 12615, 14013, 14026, 12708, 12705 -10755 , 7525, 7529, 7659, 7522, 13685, 13697, 13696, 13682 -10756 , 7533, 7660, 7535, 7534, 13687, 13704, 13702, 13686 -10757 , 7536, 7661, 7660, 7533, 13688, 13703, 13704, 13687 -10758 , 7537, 7540, 7661, 7536, 13689, 13707, 13703, 13688 -10759 , 7544, 7662, 7546, 7545, 13691, 13716, 13714, 13690 -10760 , 7547, 7663, 7662, 7544, 13692, 13715, 13716, 13691 -10761 , 7547, 7548, 7664, 7665, 13692, 13693, 14015, 14014 -10762 , 7665, 7666, 7663, 7547, 14014, 14031, 13715, 13692 -10763 , 7548, 7524, 7667, 7664, 13693, 13694, 14016, 14015 -10764 , 7524, 7659, 7668, 7667, 13694, 13696, 14017, 14016 -10765 , 7659, 7529, 7669, 7668, 13696, 13697, 14018, 14017 -10766 , 7529, 7549, 7670, 7669, 13697, 13699, 14019, 14018 -10767 , 7549, 7550, 7671, 7670, 13699, 13700, 14020, 14019 -10768 , 7550, 7551, 7672, 7671, 13700, 13701, 14021, 14020 -10769 , 7551, 7535, 7673, 7672, 13701, 13702, 14022, 14021 -10770 , 7535, 7660, 7674, 7673, 13702, 13704, 14023, 14022 -10771 , 7660, 7661, 7675, 7674, 13704, 13703, 14024, 14023 -10772 , 7661, 7540, 7676, 7675, 13703, 13707, 14025, 14024 -10773 , 13708, 8561, 7540, 13707, 14058, 7791, 7676, 14025 -10774 , 13674, 13677, 12621, 12618, 14026, 14055, 12711, 12708 -10775 , 13709, 8562, 8561, 13708, 14060, 7793, 7791, 14058 -10776 , 13710, 8563, 8562, 13709, 14363, 7797, 7793, 14060 -10777 , 13743, 8564, 8563, 13710, 14061, 7798, 7797, 14363 -10778 , 7555, 7677, 7557, 7556, 13712, 13749, 13747, 13711 -10779 , 7555, 7558, 7678, 7679, 13712, 13713, 14028, 14027 -10780 , 7679, 7680, 7677, 7555, 14027, 14063, 13749, 13712 -10781 , 7558, 7546, 7681, 7678, 13713, 13714, 14029, 14028 -10782 , 7546, 7662, 7682, 7681, 13714, 13716, 14030, 14029 -10783 , 7662, 7663, 7666, 7682, 13716, 13715, 14031, 14030 -10784 , 13723, 13720, 13718, 13721, 14036, 14032, 14033, 14034 -10785 , 13720, 13694, 13693, 13718, 14032, 14016, 14015, 14033 -10786 , 13721, 13718, 13715, 13719, 14034, 14033, 14031, 14069 -10787 , 13718, 13693, 13692, 13715, 14033, 14015, 14014, 14031 -10788 , 13725, 13695, 13720, 13723, 14038, 14035, 14032, 14036 -10789 , 13695, 13696, 13694, 13720, 14035, 14017, 14016, 14032 -10790 , 13727, 13724, 13695, 13725, 14040, 14037, 14035, 14038 -10791 , 13724, 13697, 13696, 13695, 14037, 14018, 14017, 14035 -10792 , 13729, 13726, 13724, 13727, 14042, 14039, 14037, 14040 -10793 , 13726, 13699, 13697, 13724, 14039, 14019, 14018, 14037 -10794 , 13731, 13728, 13726, 13729, 14044, 14041, 14039, 14042 -10795 , 14041, 13728, 13726, 14039, 14020, 13700, 13699, 14019 -10796 , 13733, 13730, 13728, 13731, 14046, 14043, 14041, 14044 -10797 , 14043, 13730, 13728, 14041, 14021, 13701, 13700, 14020 -10798 , 13734, 13732, 13730, 13733, 14048, 14045, 14043, 14046 -10799 , 14045, 13732, 13730, 14043, 14022, 13702, 13701, 14021 -10800 , 13735, 13705, 13732, 13734, 14050, 14047, 14045, 14048 -10801 , 14047, 13705, 13732, 14045, 14023, 13704, 13702, 14022 -10802 , 13737, 13706, 13705, 13735, 14052, 14049, 14047, 14050 -10803 , 14049, 13706, 13705, 14047, 14024, 13703, 13704, 14023 -10804 , 13739, 13736, 13706, 13737, 14054, 14051, 14049, 14052 -10805 , 14051, 13736, 13706, 14049, 14025, 13707, 13703, 14024 -10806 , 13741, 13738, 13736, 13739, 14057, 14053, 14051, 14054 -10807 , 14053, 13738, 13736, 14051, 14058, 13708, 13707, 14025 -10808 , 13677, 13679, 12624, 12621, 14055, 14080, 12714, 12711 -10809 , 13742, 13740, 13738, 13741, 14059, 14056, 14053, 14057 -10810 , 13740, 13709, 13708, 13738, 14056, 14060, 14058, 14053 -10811 , 13769, 13743, 13740, 13742, 14085, 14061, 14056, 14059 -10812 , 13743, 13710, 13709, 13740, 14061, 14363, 14060, 14056 -10813 , 13744, 8565, 8564, 13743, 14090, 7811, 7798, 14061 -10814 , 13745, 8566, 8565, 13744, 14387, 7813, 7811, 14090 -10815 , 13774, 8567, 8566, 13745, 14091, 7814, 7813, 14387 -10816 , 7557, 7683, 7562, 7561, 13747, 13778, 13777, 13746 -10817 , 7557, 7677, 7680, 7684, 13747, 13749, 14063, 14062 -10818 , 7684, 7685, 7683, 7557, 14062, 14092, 13778, 13747 -10819 , 13754, 13752, 13748, 13753, 14068, 14064, 14065, 14066 -10820 , 13752, 13714, 13713, 13748, 14064, 14029, 14028, 14065 -10821 , 13753, 13748, 13749, 13750, 14066, 14065, 14063, 14093 -10822 , 13748, 13713, 13712, 13749, 14065, 14028, 14027, 14063 -10823 , 13755, 13717, 13752, 13754, 14070, 14067, 14064, 14068 -10824 , 14067, 13717, 13752, 14064, 14030, 13716, 13714, 14029 -10825 , 13756, 13719, 13717, 13755, 14071, 14069, 14067, 14070 -10826 , 14069, 13719, 13717, 14067, 14031, 13715, 13716, 14030 -10827 , 13757, 13721, 13719, 13756, 14072, 14034, 14069, 14071 -10828 , 13758, 13723, 13721, 13757, 14073, 14036, 14034, 14072 -10829 , 13759, 13725, 13723, 13758, 14074, 14038, 14036, 14073 -10830 , 13760, 13727, 13725, 13759, 14075, 14040, 14038, 14074 -10831 , 13761, 13729, 13727, 13760, 14076, 14042, 14040, 14075 -10832 , 13762, 13731, 13729, 13761, 14077, 14044, 14042, 14076 -10833 , 13763, 13733, 13731, 13762, 14078, 14046, 14044, 14077 -10834 , 13764, 13734, 13733, 13763, 14079, 14048, 14046, 14078 -10835 , 13765, 13735, 13734, 13764, 14081, 14050, 14048, 14079 -10836 , 13679, 13680, 12627, 12624, 14080, 14103, 12717, 12714 -10837 , 13766, 13737, 13735, 13765, 14082, 14052, 14050, 14081 -10838 , 13767, 13739, 13737, 13766, 14083, 14054, 14052, 14082 -10839 , 13768, 13741, 13739, 13767, 14084, 14057, 14054, 14083 -10840 , 13770, 13742, 13741, 13768, 14086, 14059, 14057, 14084 -10841 , 13772, 13769, 13742, 13770, 14088, 14085, 14059, 14086 -10842 , 13773, 13771, 13769, 13772, 14089, 14087, 14085, 14088 -10843 , 14087, 13771, 13769, 14085, 14090, 13744, 13743, 14061 -10844 , 13801, 13774, 13771, 13773, 14114, 14091, 14087, 14089 -10845 , 13774, 13745, 13744, 13771, 14091, 14387, 14090, 14087 -10846 , 13776, 8568, 8567, 13774, 14419, 7822, 7814, 14091 -10847 , 13804, 8569, 8568, 13776, 14117, 7823, 7822, 14419 -10848 , 7683, 7686, 7567, 7562, 13778, 13779, 13806, 13777 -10849 , 7685, 7687, 7686, 7683, 14092, 14119, 13779, 13778 -10850 , 13781, 13753, 13750, 13780, 14095, 14066, 14093, 14094 -10851 , 13750, 13780, 14094, 14093, 13778, 13779, 14119, 14092 -10852 , 13750, 13749, 13747, 13778, 14093, 14063, 14062, 14092 -10853 , 13782, 13754, 13753, 13781, 14096, 14068, 14066, 14095 -10854 , 13783, 13755, 13754, 13782, 14097, 14070, 14068, 14096 -10855 , 13784, 13756, 13755, 13783, 14098, 14071, 14070, 14097 -10856 , 13785, 13757, 13756, 13784, 14099, 14072, 14071, 14098 -10857 , 13786, 13758, 13757, 13785, 14100, 14073, 14072, 14099 -10858 , 13787, 13759, 13758, 13786, 14101, 14074, 14073, 14100 -10859 , 13788, 13760, 13759, 13787, 14102, 14075, 14074, 14101 -10860 , 13789, 13761, 13760, 13788, 14104, 14076, 14075, 14102 -10861 , 13680, 13684, 12630, 12627, 14103, 14124, 12720, 12717 -10862 , 13790, 13762, 13761, 13789, 14105, 14077, 14076, 14104 -10863 , 13791, 13763, 13762, 13790, 14106, 14078, 14077, 14105 -10864 , 13792, 13764, 13763, 13791, 14107, 14079, 14078, 14106 -10865 , 13795, 13765, 13764, 13792, 14108, 14081, 14079, 14107 -10866 , 13796, 13766, 13765, 13795, 14109, 14082, 14081, 14108 -10867 , 13797, 13767, 13766, 13796, 14110, 14083, 14082, 14109 -10868 , 13798, 13768, 13767, 13797, 14111, 14084, 14083, 14110 -10869 , 13799, 13770, 13768, 13798, 14112, 14086, 14084, 14111 -10870 , 13800, 13772, 13770, 13799, 14113, 14088, 14086, 14112 -10871 , 13802, 13773, 13772, 13800, 14115, 14089, 14088, 14113 -10872 , 13803, 13801, 13773, 13802, 14116, 14114, 14089, 14115 -10873 , 13830, 13804, 13801, 13803, 14141, 14117, 14114, 14116 -10874 , 13804, 13776, 13774, 13801, 14117, 14419, 14091, 14114 -10875 , 13805, 8570, 8569, 13804, 14446, 7829, 7823, 14117 -10876 , 13833, 7573, 8570, 13805, 14144, 7691, 7829, 14446 -10877 , 7567, 7686, 7687, 7688, 13806, 13779, 14119, 14118 -10878 , 7688, 7689, 7571, 7567, 14118, 14148, 13837, 13806 -10879 , 13809, 13781, 13780, 13808, 14121, 14095, 14094, 14120 -10880 , 13808, 13780, 13779, 13807, 14120, 14094, 14119, 14149 -10881 , 13810, 13782, 13781, 13809, 14122, 14096, 14095, 14121 -10882 , 13811, 13783, 13782, 13810, 14123, 14097, 14096, 14122 -10883 , 13812, 13784, 13783, 13811, 14125, 14098, 14097, 14123 -10884 , 13684, 13698, 12633, 12630, 14124, 14146, 12723, 12720 -10885 , 13815, 13785, 13784, 13812, 14126, 14099, 14098, 14125 -10886 , 13816, 13786, 13785, 13815, 14127, 14100, 14099, 14126 -10887 , 13817, 13787, 13786, 13816, 14128, 14101, 14100, 14127 -10888 , 13818, 13788, 13787, 13817, 14129, 14102, 14101, 14128 -10889 , 13819, 13789, 13788, 13818, 14130, 14104, 14102, 14129 -10890 , 13820, 13790, 13789, 13819, 14131, 14105, 14104, 14130 -10891 , 13821, 13791, 13790, 13820, 14132, 14106, 14105, 14131 -10892 , 13822, 13792, 13791, 13821, 14133, 14107, 14106, 14132 -10893 , 13823, 13795, 13792, 13822, 14134, 14108, 14107, 14133 -10894 , 13824, 13796, 13795, 13823, 14135, 14109, 14108, 14134 -10895 , 13825, 13797, 13796, 13824, 14136, 14110, 14109, 14135 -10896 , 13826, 13798, 13797, 13825, 14137, 14111, 14110, 14136 -10897 , 13827, 13799, 13798, 13826, 14138, 14112, 14111, 14137 -10898 , 13828, 13800, 13799, 13827, 14139, 14113, 14112, 14138 -10899 , 13829, 13802, 13800, 13828, 14140, 14115, 14113, 14139 -10900 , 13831, 13803, 13802, 13829, 14142, 14116, 14115, 14140 -10901 , 13832, 13830, 13803, 13831, 14143, 14141, 14116, 14142 -10902 , 13861, 13833, 13830, 13832, 14174, 14144, 14141, 14143 -10903 , 13833, 13805, 13804, 13830, 14144, 14446, 14117, 14141 -10904 , 7573, 7572, 7690, 7691, 13833, 13834, 14145, 14144 -10905 , 7574, 7575, 7692, 7572, 13835, 13866, 13863, 13834 -10906 , 7572, 7692, 7693, 7690, 13834, 13863, 14177, 14145 -10907 , 13698, 13722, 12636, 12633, 14146, 14167, 12726, 12723 -10908 , 7578, 7571, 7689, 7694, 13836, 13837, 14148, 14147 -10909 , 7694, 7695, 7579, 7578, 14147, 14178, 13868, 13836 -10910 , 13839, 13808, 13807, 13838, 14151, 14120, 14149, 14150 -10911 , 13838, 13807, 13837, 13869, 14150, 14149, 14148, 14179 -10912 , 13807, 13779, 13806, 13837, 14149, 14119, 14118, 14148 -10913 , 13840, 13809, 13808, 13839, 14152, 14121, 14120, 14151 -10914 , 13841, 13810, 13809, 13840, 14153, 14122, 14121, 14152 -10915 , 13842, 13811, 13810, 13841, 14154, 14123, 14122, 14153 -10916 , 13843, 13812, 13811, 13842, 14155, 14125, 14123, 14154 -10917 , 13844, 13815, 13812, 13843, 14156, 14126, 14125, 14155 -10918 , 13845, 13816, 13815, 13844, 14157, 14127, 14126, 14156 -10919 , 13846, 13817, 13816, 13845, 14158, 14128, 14127, 14157 -10920 , 13847, 13818, 13817, 13846, 14159, 14129, 14128, 14158 -10921 , 13848, 13819, 13818, 13847, 14160, 14130, 14129, 14159 -10922 , 13849, 13820, 13819, 13848, 14161, 14131, 14130, 14160 -10923 , 13850, 13821, 13820, 13849, 14162, 14132, 14131, 14161 -10924 , 13851, 13822, 13821, 13850, 14163, 14133, 14132, 14162 -10925 , 13852, 13823, 13822, 13851, 14164, 14134, 14133, 14163 -10926 , 13853, 13824, 13823, 13852, 14165, 14135, 14134, 14164 -10927 , 13854, 13825, 13824, 13853, 14166, 14136, 14135, 14165 -10928 , 13856, 13826, 13825, 13854, 14168, 14137, 14136, 14166 -10929 , 13722, 13751, 12639, 12636, 14167, 14189, 12730, 12726 -10930 , 13857, 13827, 13826, 13856, 14169, 14138, 14137, 14168 -10931 , 13858, 13828, 13827, 13857, 14170, 14139, 14138, 14169 -10932 , 13859, 13829, 13828, 13858, 14171, 14140, 14139, 14170 -10933 , 13860, 13831, 13829, 13859, 14172, 14142, 14140, 14171 -10934 , 13862, 13832, 13831, 13860, 14175, 14143, 14142, 14172 -10935 , 7631, 7696, 7081, 7077, 14173, 14322, 12307, 12305 -10936 , 13864, 13861, 13832, 13862, 14176, 14174, 14143, 14175 -10937 , 14176, 13864, 13861, 14174, 14204, 13865, 13863, 14177 -10938 , 13863, 13834, 13833, 13861, 14177, 14145, 14144, 14174 -10939 , 7575, 7581, 7697, 7692, 13866, 13891, 13865, 13863 -10940 , 7692, 7697, 7698, 7693, 13863, 13865, 14204, 14177 -10941 , 7579, 7699, 7583, 7582, 13868, 13893, 13892, 13867 -10942 , 7695, 7700, 7699, 7579, 14178, 14206, 13893, 13868 -10943 , 13871, 13838, 13869, 13870, 14181, 14150, 14179, 14180 -10944 , 13870, 13869, 13868, 13893, 14180, 14179, 14178, 14206 -10945 , 13869, 13837, 13836, 13868, 14179, 14148, 14147, 14178 -10946 , 13872, 13839, 13838, 13871, 14182, 14151, 14150, 14181 -10947 , 13873, 13840, 13839, 13872, 14183, 14152, 14151, 14182 -10948 , 13874, 13841, 13840, 13873, 14184, 14153, 14152, 14183 -10949 , 13875, 13842, 13841, 13874, 14185, 14154, 14153, 14184 -10950 , 13876, 13843, 13842, 13875, 14186, 14155, 14154, 14185 -10951 , 13877, 13844, 13843, 13876, 14187, 14156, 14155, 14186 -10952 , 13878, 13845, 13844, 13877, 14188, 14157, 14156, 14187 -10953 , 13880, 13846, 13845, 13878, 14190, 14158, 14157, 14188 -10954 , 13751, 13775, 12642, 12639, 14189, 14207, 12733, 12730 -10955 , 10145, 13847, 13846, 13880, 14191, 14159, 14158, 14190 -10956 , 10149, 13848, 13847, 10145, 14192, 14160, 14159, 14191 -10957 , 10151, 13849, 13848, 10149, 14193, 14161, 14160, 14192 -10958 , 10195, 13850, 13849, 10151, 10198, 14162, 14161, 14193 -10959 , 10196, 13851, 13850, 10195, 10200, 14163, 14162, 10198 -10960 , 10720, 13852, 13851, 10196, 14194, 14164, 14163, 10200 -10961 , 13881, 13853, 13852, 10720, 14195, 14165, 14164, 14194 -10962 , 13882, 13854, 13853, 13881, 14196, 14166, 14165, 14195 -10963 , 13883, 13856, 13854, 13882, 14197, 14168, 14166, 14196 -10964 , 13884, 13857, 13856, 13883, 14198, 14169, 14168, 14197 -10965 , 13885, 13858, 13857, 13884, 14199, 14170, 14169, 14198 -10966 , 13886, 13859, 13858, 13885, 14200, 14171, 14170, 14199 -10967 , 13887, 13860, 13859, 13886, 14201, 14172, 14171, 14200 -10968 , 13888, 13862, 13860, 13887, 14202, 14175, 14172, 14201 -10969 , 13889, 13864, 13862, 13888, 14203, 14176, 14175, 14202 -10970 , 13890, 13865, 13864, 13889, 14229, 14204, 14176, 14203 -10971 , 7697, 7581, 7701, 7698, 13865, 13891, 14205, 14204 -10972 , 7581, 7586, 7702, 7701, 13891, 13916, 14232, 14205 -10973 , 7699, 7703, 7588, 7583, 13893, 13894, 13917, 13892 -10974 , 7700, 7704, 7703, 7699, 14206, 14233, 13894, 13893 -10975 , 13775, 13794, 12647, 12642, 14207, 14224, 12736, 12733 -10976 , 13898, 13871, 13870, 13896, 14209, 14181, 14180, 14208 -10977 , 13896, 13870, 13893, 13894, 14208, 14180, 14206, 14233 -10978 , 13899, 13872, 13871, 13898, 14210, 14182, 14181, 14209 -10979 , 13900, 13873, 13872, 13899, 14211, 14183, 14182, 14210 -10980 , 13901, 13874, 13873, 13900, 14212, 14184, 14183, 14211 -10981 , 13902, 13875, 13874, 13901, 14213, 14185, 14184, 14212 -10982 , 13903, 13876, 13875, 13902, 14214, 14186, 14185, 14213 -10983 , 13904, 13877, 13876, 13903, 14215, 14187, 14186, 14214 -10984 , 10153, 13878, 13877, 13904, 14216, 14188, 14187, 14215 -10985 , 10154, 13880, 13878, 10153, 14217, 14190, 14188, 14216 -10986 , 13880, 10145, 10144, 10154, 10106, 10111, 10116, 10112 -10987 , 10144, 10145, 13880, 10154, 14218, 14191, 14190, 14217 -10988 , 10148, 10149, 10145, 10144, 14219, 14192, 14191, 14218 -10989 , 10150, 10151, 10149, 10148, 10201, 14193, 14192, 14219 -10990 , 10720, 13881, 10721, 10204, 10714, 10719, 10716, 10713 -10991 , 10721, 13881, 10720, 10204, 14220, 14195, 14194, 10206 -10992 , 13905, 13882, 13881, 10721, 14221, 14196, 14195, 14220 -10993 , 13906, 13883, 13882, 13905, 14222, 14197, 14196, 14221 -10994 , 13907, 13884, 13883, 13906, 14223, 14198, 14197, 14222 -10995 , 13910, 13885, 13884, 13907, 14225, 14199, 14198, 14223 -10996 , 13794, 13813, 12650, 12647, 14224, 14244, 12741, 12736 -10997 , 13911, 13886, 13885, 13910, 14226, 14200, 14199, 14225 -10998 , 13912, 13887, 13886, 13911, 14227, 14201, 14200, 14226 -10999 , 13913, 13888, 13887, 13912, 14228, 14202, 14201, 14227 -11000 , 13914, 13889, 13888, 13913, 14230, 14203, 14202, 14228 -11001 , 13915, 13890, 13889, 13914, 14231, 14229, 14203, 14230 -11002 , 14231, 13915, 13890, 14229, 14253, 13935, 13916, 14232 -11003 , 13916, 13891, 13865, 13890, 14232, 14205, 14204, 14229 -11004 , 7586, 7591, 7705, 7702, 13916, 13935, 14253, 14232 -11005 , 7703, 7706, 7592, 7588, 13894, 13918, 13937, 13917 -11006 , 7704, 7707, 7706, 7703, 14233, 14254, 13918, 13894 -11007 , 13920, 13898, 13896, 13919, 14235, 14209, 14208, 14234 -11008 , 13919, 13896, 13894, 13918, 14234, 14208, 14233, 14254 -11009 , 13921, 13899, 13898, 13920, 14236, 14210, 14209, 14235 -11010 , 13922, 13900, 13899, 13921, 14237, 14211, 14210, 14236 -11011 , 13923, 13901, 13900, 13922, 14238, 14212, 14211, 14237 -11012 , 13924, 13902, 13901, 13923, 14239, 14213, 14212, 14238 -11013 , 13925, 13903, 13902, 13924, 14240, 14214, 14213, 14239 -11014 , 10168, 13904, 13903, 13925, 14241, 14215, 14214, 14240 -11015 , 13904, 10153, 10152, 10168, 10119, 10108, 10122, 10120 -11016 , 10152, 10153, 13904, 10168, 14242, 14216, 14215, 14241 -11017 , 10155, 10154, 10153, 10152, 10210, 14217, 14216, 14242 -11018 , 10156, 10144, 10154, 10155, 10212, 14218, 14217, 10210 -11019 , 10158, 10148, 10144, 10156, 10213, 14219, 14218, 10212 -11020 , 13813, 14243, 12739, 12650, 14244, 14255, 12744, 12741 -11021 , 10727, 13905, 10721, 10722, 10731, 14221, 14220, 10725 -11022 , 13927, 13906, 13905, 10727, 14245, 14222, 14221, 10731 -11023 , 13928, 13907, 13906, 13927, 14246, 14223, 14222, 14245 -11024 , 13929, 13910, 13907, 13928, 14247, 14225, 14223, 14246 -11025 , 13930, 13911, 13910, 13929, 14248, 14226, 14225, 14247 -11026 , 13931, 13912, 13911, 13930, 14249, 14227, 14226, 14248 -11027 , 13932, 13913, 13912, 13931, 14250, 14228, 14227, 14249 -11028 , 13933, 13914, 13913, 13932, 14251, 14230, 14228, 14250 -11029 , 13934, 13915, 13914, 13933, 14252, 14231, 14230, 14251 -11030 , 14252, 13934, 13915, 14231, 14269, 13953, 13935, 14253 -11031 , 7591, 7594, 7708, 7705, 13935, 13953, 14269, 14253 -11032 , 7706, 7598, 7595, 7592, 13918, 13938, 13954, 13937 -11033 , 7709, 7599, 7598, 7706, 13919, 13939, 13938, 13918 -11034 , 7707, 7710, 7709, 7706, 14254, 14234, 13919, 13918 -11035 , 7711, 7601, 7599, 7709, 13920, 13940, 13939, 13919 -11036 , 7710, 7712, 7711, 7709, 14234, 14235, 13920, 13919 -11037 , 7712, 7713, 7601, 7711, 14235, 14270, 13940, 13920 -11038 , 12744, 14255, 14243, 12739, 12835, 14688, 14256, 12746 -11039 , 12739, 14243, 13814, 12651, 12746, 14256, 13855, 12656 -11040 , 13942, 13922, 13921, 13941, 14258, 14237, 14236, 14257 -11041 , 13941, 13921, 13920, 13940, 14257, 14236, 14235, 14270 -11042 , 13943, 13923, 13922, 13942, 14259, 14238, 14237, 14258 -11043 , 13944, 13924, 13923, 13943, 14260, 14239, 14238, 14259 -11044 , 13945, 13925, 13924, 13944, 14261, 14240, 14239, 14260 -11045 , 10169, 10168, 13925, 13945, 14262, 14241, 14240, 14261 -11046 , 10170, 10152, 10168, 10169, 10219, 14242, 14241, 14262 -11047 , 10735, 13927, 10727, 10728, 10736, 14245, 10731, 10730 -11048 , 10774, 13928, 13927, 10735, 10756, 14246, 14245, 10736 -11049 , 13947, 13929, 13928, 10774, 14263, 14247, 14246, 10756 -11050 , 13948, 13930, 13929, 13947, 14264, 14248, 14247, 14263 -11051 , 13949, 13931, 13930, 13948, 14265, 14249, 14248, 14264 -11052 , 7580, 7714, 7162, 7149, 14256, 14276, 12750, 12746 -11053 , 13950, 13932, 13931, 13949, 14266, 14250, 14249, 14265 -11054 , 13951, 13933, 13932, 13950, 14267, 14251, 14250, 14266 -11055 , 13952, 13934, 13933, 13951, 14268, 14252, 14251, 14267 -11056 , 14268, 13952, 13934, 14252, 14283, 13967, 13953, 14269 -11057 , 7594, 7597, 7715, 7708, 13953, 13967, 14283, 14269 -11058 , 7716, 7605, 7602, 7601, 13941, 13955, 13969, 13940 -11059 , 7713, 7717, 7716, 7601, 14270, 14257, 13941, 13940 -11060 , 7717, 7718, 7605, 7716, 14257, 14284, 13955, 13941 -11061 , 13957, 13943, 13942, 13956, 14272, 14259, 14258, 14271 -11062 , 13956, 13942, 13941, 13955, 14271, 14258, 14257, 14284 -11063 , 13958, 13944, 13943, 13957, 14273, 14260, 14259, 14272 -11064 , 13959, 13945, 13944, 13958, 14274, 14261, 14260, 14273 -11065 , 10181, 10169, 13945, 13959, 14275, 14262, 14261, 14274 -11066 , 10182, 10170, 10169, 10181, 10228, 10219, 14262, 14275 -11067 , 7714, 7719, 7165, 7162, 14276, 14691, 12841, 12750 -11068 , 13961, 13947, 10774, 10746, 14277, 14263, 10756, 10747 -11069 , 13962, 13948, 13947, 13961, 14278, 14264, 14263, 14277 -11070 , 13963, 13949, 13948, 13962, 14279, 14265, 14264, 14278 -11071 , 13964, 13950, 13949, 13963, 14280, 14266, 14265, 14279 -11072 , 13965, 13951, 13950, 13964, 14281, 14267, 14266, 14280 -11073 , 13966, 13952, 13951, 13965, 14282, 14268, 14267, 14281 -11074 , 13980, 13967, 13952, 13966, 14295, 14283, 14268, 14282 -11075 , 7597, 7604, 7720, 7715, 13967, 13980, 14295, 14283 -11076 , 7718, 7721, 7606, 7605, 14284, 14271, 13956, 13955 -11077 , 7721, 7722, 7609, 7606, 14271, 14272, 13957, 13956 -11078 , 7722, 7723, 7610, 7609, 14272, 14297, 13981, 13957 -11079 , 13958, 13959, 14274, 14273, 13971, 13972, 14286, 14285 -11080 , 13971, 13958, 13957, 13981, 14285, 14273, 14272, 14297 -11081 , 13959, 10181, 14275, 14274, 13972, 10227, 14288, 14286 -11082 , 7724, 7585, 7155, 7168, 14287, 14296, 12756, 12754 -11083 , 7168, 7171, 7725, 7724, 12754, 12845, 14726, 14287 -11084 , 13974, 13961, 10746, 10775, 14289, 14277, 10747, 10767 -11085 , 13975, 13962, 13961, 13974, 14290, 14278, 14277, 14289 -11086 , 13976, 13963, 13962, 13975, 14291, 14279, 14278, 14290 -11087 , 13977, 13964, 13963, 13976, 14292, 14280, 14279, 14291 -11088 , 13978, 13965, 13964, 13977, 14293, 14281, 14280, 14292 -11089 , 13979, 13966, 13965, 13978, 14294, 14282, 14281, 14293 -11090 , 13996, 13980, 13966, 13979, 14315, 14295, 14282, 14294 -11091 , 7604, 7611, 7726, 7720, 13980, 13996, 14315, 14295 -11092 , 7723, 7727, 7612, 7610, 14297, 14285, 13971, 13981 -11093 , 7727, 7728, 7613, 7612, 14285, 14286, 13972, 13971 -11094 , 7613, 7729, 7730, 7614, 13972, 14298, 14299, 10227 -11095 , 7728, 7731, 7729, 7613, 14286, 14318, 14298, 13972 -11096 , 7614, 7730, 7618, 7615, 10227, 14299, 13997, 10191 -11097 , 10193, 10194, 10231, 10230, 13998, 10612, 14301, 14300 -11098 , 10190, 10192, 10194, 10193, 13983, 10620, 10612, 13998 -11099 , 10191, 10193, 10230, 10229, 13997, 13998, 14300, 14623 -11100 , 10188, 10190, 10193, 10191, 13982, 13983, 13998, 13997 -11101 , 14301, 10612, 10194, 10231, 10615, 10611, 10258, 10613 -11102 , 13985, 10623, 10608, 10628, 14303, 10741, 10610, 14302 -11103 , 13986, 10742, 10623, 13985, 14304, 10743, 10741, 14303 -11104 , 13987, 10744, 10742, 13986, 14305, 10745, 10743, 14304 -11105 , 13988, 10748, 10744, 13987, 14306, 10749, 10745, 14305 -11106 , 13989, 10775, 10748, 13988, 14307, 10767, 10749, 14306 -11107 , 13990, 13974, 10775, 13989, 14308, 14289, 10767, 14307 -11108 , 13991, 13975, 13974, 13990, 14309, 14290, 14289, 14308 -11109 , 13992, 13976, 13975, 13991, 14310, 14291, 14290, 14309 -11110 , 13993, 13977, 13976, 13992, 14311, 14292, 14291, 14310 -11111 , 13994, 13978, 13977, 13993, 14314, 14293, 14292, 14311 -11112 , 14312, 13909, 12669, 12760, 14313, 14331, 12766, 12763 -11113 , 14312, 14313, 12763, 12760, 14296, 14748, 12849, 12756 -11114 , 13895, 14312, 12760, 12662, 13879, 14296, 12756, 12660 -11115 , 13995, 13979, 13978, 13994, 14316, 14294, 14293, 14314 -11116 , 14004, 13996, 13979, 13995, 14334, 14315, 14294, 14316 -11117 , 7611, 7621, 7732, 7726, 13996, 14004, 14334, 14315 -11118 , 7729, 7733, 7734, 7730, 14298, 14317, 14319, 14299 -11119 , 7731, 7735, 7733, 7729, 14318, 14335, 14317, 14298 -11120 , 7730, 7734, 7736, 7618, 14299, 14319, 14320, 13997 -11121 , 7618, 7736, 7737, 7622, 13997, 14320, 14321, 13998 -11122 , 7622, 7737, 7738, 7623, 13998, 14321, 14323, 10612 -11123 , 12307, 14322, 7696, 7081, 12386, 12525, 7739, 7083 -11124 , 7623, 7738, 7740, 7624, 10612, 14323, 14324, 10611 -11125 , 7624, 7740, 7741, 7625, 10611, 14324, 14325, 10614 -11126 , 7625, 7741, 7627, 7626, 10614, 14325, 11739, 10626 -11127 , 11526, 13985, 10628, 11524, 14327, 14303, 14302, 14326 -11128 , 10626, 10628, 14302, 10627, 11739, 11524, 14326, 14344 -11129 , 11528, 13986, 13985, 11526, 11579, 14304, 14303, 14327 -11130 , 11530, 13987, 13986, 11528, 11581, 14305, 14304, 11579 -11131 , 11532, 13988, 13987, 11530, 11583, 14306, 14305, 11581 -11132 , 11534, 13989, 13988, 11532, 11585, 14307, 14306, 11583 -11133 , 11536, 13990, 13989, 11534, 14328, 14308, 14307, 11585 -11134 , 14000, 13991, 13990, 11536, 14329, 14309, 14308, 14328 -11135 , 14001, 13992, 13991, 14000, 14330, 14310, 14309, 14329 -11136 , 14002, 13993, 13992, 14001, 14332, 14311, 14310, 14330 -11137 , 13909, 13926, 12672, 12669, 14331, 14345, 12769, 12766 -11138 , 14003, 13994, 13993, 14002, 14333, 14314, 14311, 14332 -11139 , 14333, 14003, 13994, 14314, 14346, 14005, 13995, 14316 -11140 , 7621, 7628, 7633, 7742, 14004, 14009, 14005, 13995 -11141 , 7743, 7732, 7621, 7742, 14316, 14334, 14004, 13995 -11142 , 7742, 7633, 7744, 7743, 13995, 14005, 14346, 14316 -11143 , 7735, 7745, 7734, 7733, 14335, 14337, 14319, 14317 -11144 , 7734, 7746, 7747, 7736, 14319, 14336, 14338, 14320 -11145 , 7745, 7748, 7746, 7734, 14337, 14348, 14336, 14319 -11146 , 7736, 7747, 7749, 7737, 14320, 14338, 14339, 14321 -11147 , 7750, 7751, 7738, 7737, 14340, 14341, 14323, 14321 -11148 , 7737, 7749, 7752, 7750, 14321, 14339, 14350, 14340 -11149 , 7751, 7753, 7740, 7738, 14341, 14342, 14324, 14323 -11150 , 7753, 7754, 7741, 7740, 14342, 14343, 14325, 14324 -11151 , 7754, 7755, 7627, 7741, 14343, 14344, 11739, 14325 -11152 , 7755, 7756, 7629, 7627, 14344, 14326, 11524, 11739 -11153 , 7756, 7757, 7630, 7629, 14326, 11627, 11537, 11524 -11154 , 11526, 11525, 11586, 14327, 11524, 11537, 11627, 14326 -11155 , 11536, 14000, 11543, 11535, 11466, 11472, 11474, 11473 -11156 , 11543, 14000, 11536, 11535, 11595, 14329, 14328, 11591 -11157 , 11547, 14001, 14000, 11543, 11598, 14330, 14329, 11595 -11158 , 13926, 13936, 12675, 12672, 14345, 14352, 12772, 12769 -11159 , 11596, 14002, 14001, 11547, 11642, 14332, 14330, 11598 -11160 , 14002, 14003, 14333, 14332, 11596, 14008, 14347, 11642 -11161 , 14010, 14005, 14003, 14008, 14351, 14346, 14333, 14347 -11162 , 7633, 7634, 7758, 7744, 14005, 14010, 14351, 14346 -11163 , 7748, 7759, 7747, 7746, 14348, 14349, 14338, 14336 -11164 , 7759, 7752, 7749, 7747, 14349, 14350, 14339, 14338 -11165 , 7761, 7762, 7639, 7638, 11642, 14347, 14008, 11596 -11166 , 7762, 7758, 7634, 7639, 14347, 14351, 14010, 14008 -11167 , 13936, 13946, 12678, 12675, 14352, 14353, 12775, 12772 -11168 , 13946, 13960, 12681, 12678, 14353, 14354, 12778, 12775 -11169 , 7664, 7778, 7666, 7665, 14015, 14033, 14031, 14014 -11170 , 7667, 7779, 7778, 7664, 14016, 14032, 14033, 14015 -11171 , 7668, 7780, 7779, 7667, 14017, 14035, 14032, 14016 -11172 , 7669, 7781, 7780, 7668, 14018, 14037, 14035, 14017 -11173 , 13960, 13968, 12684, 12681, 14354, 10897, 10900, 12778 -11174 , 7670, 7782, 7781, 7669, 14019, 14039, 14037, 14018 -11175 , 7670, 7671, 7783, 7784, 14019, 14020, 14356, 14355 -11176 , 7784, 7785, 7782, 7670, 14355, 14371, 14039, 14019 -11177 , 7671, 7672, 7786, 7783, 14020, 14021, 14357, 14356 -11178 , 7672, 7673, 7787, 7786, 14021, 14022, 14358, 14357 -11179 , 7673, 7674, 7788, 7787, 14022, 14023, 14359, 14358 -11180 , 7674, 7675, 7789, 7788, 14023, 14024, 14360, 14359 -11181 , 7675, 7676, 7790, 7789, 14024, 14025, 14361, 14360 -11182 , 7676, 7791, 7792, 7790, 14025, 14058, 14362, 14361 -11183 , 7793, 7794, 7795, 7791, 14060, 14056, 14053, 14058 -11184 , 7791, 7795, 7796, 7792, 14058, 14053, 14384, 14362 -11185 , 7797, 7798, 7794, 7793, 14363, 14061, 14056, 14060 -11186 , 7678, 7799, 7680, 7679, 14028, 14065, 14063, 14027 -11187 , 7681, 7800, 7799, 7678, 14029, 14064, 14065, 14028 -11188 , 7681, 7682, 7801, 7802, 14029, 14030, 14365, 14364 -11189 , 7802, 7803, 7800, 7681, 14364, 14391, 14064, 14029 -11190 , 7682, 7666, 7804, 7801, 14030, 14031, 14366, 14365 -11191 , 7666, 7778, 7805, 7804, 14031, 14033, 14367, 14366 -11192 , 7778, 7779, 7806, 7805, 14033, 14032, 14368, 14367 -11193 , 7779, 7780, 7807, 7806, 14032, 14035, 14369, 14368 -11194 , 7780, 7781, 7808, 7807, 14035, 14037, 14370, 14369 -11195 , 7781, 7782, 7785, 7808, 14037, 14039, 14371, 14370 -11196 , 13968, 13973, 12687, 12684, 10897, 10903, 10901, 10900 -11197 , 14046, 14043, 14041, 14044, 14376, 14372, 14373, 14374 -11198 , 14043, 14021, 14020, 14041, 14372, 14357, 14356, 14373 -11199 , 14044, 14041, 14039, 14042, 14374, 14373, 14371, 14403 -11200 , 14041, 14020, 14019, 14039, 14373, 14356, 14355, 14371 -11201 , 14048, 14045, 14043, 14046, 14378, 14375, 14372, 14376 -11202 , 14045, 14022, 14021, 14043, 14375, 14358, 14357, 14372 -11203 , 14050, 14047, 14045, 14048, 14380, 14377, 14375, 14378 -11204 , 14047, 14023, 14022, 14045, 14377, 14359, 14358, 14375 -11205 , 14052, 14049, 14047, 14050, 14382, 14379, 14377, 14380 -11206 , 14049, 14024, 14023, 14047, 14379, 14360, 14359, 14377 -11207 , 14054, 14051, 14049, 14052, 14383, 14381, 14379, 14382 -11208 , 14051, 14025, 14024, 14049, 14381, 14361, 14360, 14379 -11209 , 14057, 14053, 14051, 14054, 14411, 14384, 14381, 14383 -11210 , 14053, 14058, 14025, 14051, 14384, 14362, 14361, 14381 -11211 , 7795, 7794, 7809, 7796, 14053, 14056, 14385, 14384 -11212 , 7794, 7798, 7810, 7809, 14056, 14061, 14386, 14385 -11213 , 7798, 7811, 7812, 7810, 14061, 14090, 14388, 14386 -11214 , 7813, 7814, 7815, 7811, 14387, 14091, 14087, 14090 -11215 , 7811, 7815, 7816, 7812, 14090, 14087, 14418, 14388 -11216 , 7680, 7817, 7685, 7684, 14063, 14093, 14092, 14062 -11217 , 7680, 7799, 7818, 7819, 14063, 14065, 14390, 14389 -11218 , 7819, 7820, 7817, 7680, 14389, 14422, 14093, 14063 -11219 , 7799, 7800, 7803, 7818, 14065, 14064, 14391, 14390 -11220 , 14071, 14069, 14067, 14070, 14396, 14392, 14393, 14394 -11221 , 14069, 14031, 14030, 14067, 14392, 14366, 14365, 14393 -11222 , 14070, 14067, 14064, 14068, 14394, 14393, 14391, 14423 -11223 , 14067, 14030, 14029, 14064, 14393, 14365, 14364, 14391 -11224 , 14072, 14034, 14069, 14071, 14398, 14395, 14392, 14396 -11225 , 14034, 14033, 14031, 14069, 14395, 14367, 14366, 14392 -11226 , 14073, 14036, 14034, 14072, 14400, 14397, 14395, 14398 -11227 , 14036, 14032, 14033, 14034, 14397, 14368, 14367, 14395 -11228 , 14074, 14038, 14036, 14073, 14402, 14399, 14397, 14400 -11229 , 14038, 14035, 14032, 14036, 14399, 14369, 14368, 14397 -11230 , 13973, 13984, 12690, 12687, 10903, 10905, 10907, 10901 -11231 , 14075, 14040, 14038, 14074, 14404, 14401, 14399, 14402 -11232 , 14401, 14040, 14038, 14399, 14370, 14037, 14035, 14369 -11233 , 14076, 14042, 14040, 14075, 14405, 14403, 14401, 14404 -11234 , 14403, 14042, 14040, 14401, 14371, 14039, 14037, 14370 -11235 , 14077, 14044, 14042, 14076, 14406, 14374, 14403, 14405 -11236 , 14078, 14046, 14044, 14077, 14407, 14376, 14374, 14406 -11237 , 14079, 14048, 14046, 14078, 14408, 14378, 14376, 14407 -11238 , 14081, 14050, 14048, 14079, 14409, 14380, 14378, 14408 -11239 , 14082, 14052, 14050, 14081, 14410, 14382, 14380, 14409 -11240 , 14083, 14054, 14052, 14082, 14412, 14383, 14382, 14410 -11241 , 14084, 14057, 14054, 14083, 14414, 14411, 14383, 14412 -11242 , 14086, 14059, 14057, 14084, 14416, 14413, 14411, 14414 -11243 , 14413, 14059, 14057, 14411, 14385, 14056, 14053, 14384 -11244 , 14088, 14085, 14059, 14086, 14417, 14415, 14413, 14416 -11245 , 14085, 14061, 14056, 14059, 14415, 14386, 14385, 14413 -11246 , 14089, 14087, 14085, 14088, 14442, 14418, 14415, 14417 -11247 , 14087, 14090, 14061, 14085, 14418, 14388, 14386, 14415 -11248 , 7815, 7814, 7821, 7816, 14087, 14091, 14420, 14418 -11249 , 7822, 7823, 7824, 7814, 14419, 14117, 14114, 14091 -11250 , 7814, 7824, 7825, 7821, 14091, 14114, 14445, 14420 -11251 , 7685, 7817, 7820, 7826, 14092, 14093, 14422, 14421 -11252 , 7826, 7827, 7687, 7685, 14421, 14448, 14119, 14092 -11253 , 14096, 14068, 14066, 14095, 14426, 14423, 14424, 14425 -11254 , 14068, 14064, 14065, 14066, 14423, 14391, 14390, 14424 -11255 , 14095, 14066, 14093, 14094, 14425, 14424, 14422, 14449 -11256 , 14066, 14065, 14063, 14093, 14424, 14390, 14389, 14422 -11257 , 14097, 14070, 14068, 14096, 14427, 14394, 14423, 14426 -11258 , 14098, 14071, 14070, 14097, 14428, 14396, 14394, 14427 -11259 , 13984, 13999, 12693, 12690, 10905, 10965, 10908, 10907 -11260 , 14099, 14072, 14071, 14098, 14429, 14398, 14396, 14428 -11261 , 14100, 14073, 14072, 14099, 14430, 14400, 14398, 14429 -11262 , 14101, 14074, 14073, 14100, 14431, 14402, 14400, 14430 -11263 , 14102, 14075, 14074, 14101, 14432, 14404, 14402, 14431 -11264 , 14104, 14076, 14075, 14102, 14433, 14405, 14404, 14432 -11265 , 14105, 14077, 14076, 14104, 14434, 14406, 14405, 14433 -11266 , 14106, 14078, 14077, 14105, 14435, 14407, 14406, 14434 -11267 , 14107, 14079, 14078, 14106, 14436, 14408, 14407, 14435 -11268 , 14108, 14081, 14079, 14107, 14437, 14409, 14408, 14436 -11269 , 14109, 14082, 14081, 14108, 14438, 14410, 14409, 14437 -11270 , 14110, 14083, 14082, 14109, 14439, 14412, 14410, 14438 -11271 , 14111, 14084, 14083, 14110, 14440, 14414, 14412, 14439 -11272 , 14112, 14086, 14084, 14111, 14441, 14416, 14414, 14440 -11273 , 14113, 14088, 14086, 14112, 14443, 14417, 14416, 14441 -11274 , 14115, 14089, 14088, 14113, 14444, 14442, 14417, 14443 -11275 , 14116, 14114, 14089, 14115, 14470, 14445, 14442, 14444 -11276 , 14114, 14091, 14087, 14089, 14445, 14420, 14418, 14442 -11277 , 7824, 7823, 7828, 7825, 14114, 14117, 14447, 14445 -11278 , 7829, 7691, 7830, 7823, 14446, 14144, 14141, 14117 -11279 , 7823, 7830, 7831, 7828, 14117, 14141, 14473, 14447 -11280 , 7687, 7832, 7689, 7688, 14119, 14149, 14148, 14118 -11281 , 13999, 14006, 12696, 12693, 10965, 14469, 12789, 10908 -11282 , 7827, 7833, 7832, 7687, 14448, 14475, 14149, 14119 -11283 , 14121, 14095, 14094, 14120, 14451, 14425, 14449, 14450 -11284 , 14120, 14094, 14119, 14149, 14450, 14449, 14448, 14475 -11285 , 14094, 14093, 14092, 14119, 14449, 14422, 14421, 14448 -11286 , 14122, 14096, 14095, 14121, 14452, 14426, 14425, 14451 -11287 , 14123, 14097, 14096, 14122, 14453, 14427, 14426, 14452 -11288 , 14125, 14098, 14097, 14123, 14454, 14428, 14427, 14453 -11289 , 14126, 14099, 14098, 14125, 14455, 14429, 14428, 14454 -11290 , 14127, 14100, 14099, 14126, 14456, 14430, 14429, 14455 -11291 , 14128, 14101, 14100, 14127, 14457, 14431, 14430, 14456 -11292 , 14129, 14102, 14101, 14128, 14458, 14432, 14431, 14457 -11293 , 14130, 14104, 14102, 14129, 14459, 14433, 14432, 14458 -11294 , 14131, 14105, 14104, 14130, 14460, 14434, 14433, 14459 -11295 , 14132, 14106, 14105, 14131, 14461, 14435, 14434, 14460 -11296 , 14133, 14107, 14106, 14132, 14462, 14436, 14435, 14461 -11297 , 14134, 14108, 14107, 14133, 14463, 14437, 14436, 14462 -11298 , 14135, 14109, 14108, 14134, 14464, 14438, 14437, 14463 -11299 , 14136, 14110, 14109, 14135, 14465, 14439, 14438, 14464 -11300 , 14137, 14111, 14110, 14136, 14466, 14440, 14439, 14465 -11301 , 14138, 14112, 14111, 14137, 14467, 14441, 14440, 14466 -11302 , 14139, 14113, 14112, 14138, 14468, 14443, 14441, 14467 -11303 , 14140, 14115, 14113, 14139, 14471, 14444, 14443, 14468 -11304 , 14006, 14011, 12699, 12696, 14469, 14489, 12793, 12789 -11305 , 14142, 14116, 14115, 14140, 14472, 14470, 14444, 14471 -11306 , 14143, 14141, 14116, 14142, 14498, 14473, 14470, 14472 -11307 , 14141, 14117, 14114, 14116, 14473, 14447, 14445, 14470 -11308 , 7830, 7691, 7834, 7831, 14141, 14144, 14474, 14473 -11309 , 7690, 7693, 7835, 7691, 14145, 14177, 14174, 14144 -11310 , 7691, 7835, 7836, 7834, 14144, 14174, 14501, 14474 -11311 , 7689, 7837, 7695, 7694, 14148, 14179, 14178, 14147 -11312 , 7832, 7838, 7837, 7689, 14149, 14150, 14179, 14148 -11313 , 7833, 7839, 7838, 7832, 14475, 14503, 14150, 14149 -11314 , 14152, 14121, 14120, 14151, 14478, 14451, 14450, 14476 -11315 , 14151, 14120, 14149, 14150, 14476, 14450, 14475, 14503 -11316 , 7840, 7841, 7089, 7088, 14477, 14639, 12315, 12311 -11317 , 14477, 12311, 7088, 7840, 12950, 12401, 7090, 7842 -11318 , 14153, 14122, 14121, 14152, 14479, 14452, 14451, 14478 -11319 , 14154, 14123, 14122, 14153, 14480, 14453, 14452, 14479 -11320 , 14155, 14125, 14123, 14154, 14481, 14454, 14453, 14480 -11321 , 14156, 14126, 14125, 14155, 14482, 14455, 14454, 14481 -11322 , 14157, 14127, 14126, 14156, 14483, 14456, 14455, 14482 -11323 , 14158, 14128, 14127, 14157, 14484, 14457, 14456, 14483 -11324 , 14159, 14129, 14128, 14158, 14485, 14458, 14457, 14484 -11325 , 14160, 14130, 14129, 14159, 14486, 14459, 14458, 14485 -11326 , 14161, 14131, 14130, 14160, 14487, 14460, 14459, 14486 -11327 , 14162, 14132, 14131, 14161, 14488, 14461, 14460, 14487 -11328 , 14163, 14133, 14132, 14162, 14490, 14462, 14461, 14488 -11329 , 14011, 14012, 12702, 12699, 14489, 14509, 12796, 12793 -11330 , 14164, 14134, 14133, 14163, 14491, 14463, 14462, 14490 -11331 , 14165, 14135, 14134, 14164, 14492, 14464, 14463, 14491 -11332 , 14166, 14136, 14135, 14165, 14493, 14465, 14464, 14492 -11333 , 14168, 14137, 14136, 14166, 14494, 14466, 14465, 14493 -11334 , 14169, 14138, 14137, 14168, 14495, 14467, 14466, 14494 -11335 , 14170, 14139, 14138, 14169, 14496, 14468, 14467, 14495 -11336 , 14171, 14140, 14139, 14170, 14497, 14471, 14468, 14496 -11337 , 14172, 14142, 14140, 14171, 14499, 14472, 14471, 14497 -11338 , 14175, 14143, 14142, 14172, 14500, 14498, 14472, 14499 -11339 , 14176, 14174, 14143, 14175, 14526, 14501, 14498, 14500 -11340 , 14174, 14144, 14141, 14143, 14501, 14474, 14473, 14498 -11341 , 7835, 7693, 7843, 7836, 14174, 14177, 14502, 14501 -11342 , 7693, 7698, 7844, 7843, 14177, 14204, 14529, 14502 -11343 , 7837, 7845, 7700, 7695, 14179, 14180, 14206, 14178 -11344 , 7838, 7846, 7845, 7837, 14150, 14181, 14180, 14179 -11345 , 7839, 7847, 7846, 7838, 14503, 14531, 14181, 14150 -11346 , 14183, 14152, 14151, 14182, 14505, 14478, 14476, 14504 -11347 , 14182, 14151, 14150, 14181, 14504, 14476, 14503, 14531 -11348 , 14184, 14153, 14152, 14183, 14506, 14479, 14478, 14505 -11349 , 14185, 14154, 14153, 14184, 14507, 14480, 14479, 14506 -11350 , 14186, 14155, 14154, 14185, 14508, 14481, 14480, 14507 -11351 , 14187, 14156, 14155, 14186, 14510, 14482, 14481, 14508 -11352 , 14012, 14013, 12705, 12702, 14509, 14530, 12799, 12796 -11353 , 14188, 14157, 14156, 14187, 14511, 14483, 14482, 14510 -11354 , 14190, 14158, 14157, 14188, 14512, 14484, 14483, 14511 -11355 , 14191, 14159, 14158, 14190, 14513, 14485, 14484, 14512 -11356 , 14192, 14160, 14159, 14191, 14514, 14486, 14485, 14513 -11357 , 14193, 14161, 14160, 14192, 14515, 14487, 14486, 14514 -11358 , 10198, 14162, 14161, 14193, 14516, 14488, 14487, 14515 -11359 , 10200, 14163, 14162, 10198, 14517, 14490, 14488, 14516 -11360 , 14194, 14164, 14163, 10200, 14518, 14491, 14490, 14517 -11361 , 14195, 14165, 14164, 14194, 14519, 14492, 14491, 14518 -11362 , 14196, 14166, 14165, 14195, 14520, 14493, 14492, 14519 -11363 , 14197, 14168, 14166, 14196, 14521, 14494, 14493, 14520 -11364 , 14198, 14169, 14168, 14197, 14522, 14495, 14494, 14521 -11365 , 14199, 14170, 14169, 14198, 14523, 14496, 14495, 14522 -11366 , 14200, 14171, 14170, 14199, 14524, 14497, 14496, 14523 -11367 , 14201, 14172, 14171, 14200, 14525, 14499, 14497, 14524 -11368 , 14202, 14175, 14172, 14201, 14527, 14500, 14499, 14525 -11369 , 14203, 14176, 14175, 14202, 14528, 14526, 14500, 14527 -11370 , 14229, 14204, 14176, 14203, 14556, 14529, 14526, 14528 -11371 , 14204, 14177, 14174, 14176, 14529, 14502, 14501, 14526 -11372 , 7701, 7702, 7848, 7698, 14205, 14232, 14229, 14204 -11373 , 7698, 7848, 7849, 7844, 14204, 14229, 14556, 14529 -11374 , 14013, 14026, 12708, 12705, 14530, 14549, 12802, 12799 -11375 , 7845, 7850, 7704, 7700, 14180, 14208, 14233, 14206 -11376 , 7846, 7851, 7850, 7845, 14181, 14209, 14208, 14180 -11377 , 7847, 7852, 7851, 7846, 14531, 14558, 14209, 14181 -11378 , 14211, 14183, 14182, 14210, 14533, 14505, 14504, 14532 -11379 , 14210, 14182, 14181, 14209, 14532, 14504, 14531, 14558 -11380 , 14212, 14184, 14183, 14211, 14534, 14506, 14505, 14533 -11381 , 14213, 14185, 14184, 14212, 14535, 14507, 14506, 14534 -11382 , 14214, 14186, 14185, 14213, 14536, 14508, 14507, 14535 -11383 , 14215, 14187, 14186, 14214, 14537, 14510, 14508, 14536 -11384 , 14216, 14188, 14187, 14215, 14538, 14511, 14510, 14537 -11385 , 14217, 14190, 14188, 14216, 14539, 14512, 14511, 14538 -11386 , 14218, 14191, 14190, 14217, 14540, 14513, 14512, 14539 -11387 , 14219, 14192, 14191, 14218, 14541, 14514, 14513, 14540 -11388 , 10201, 14193, 14192, 14219, 14542, 14515, 14514, 14541 -11389 , 14193, 10198, 10197, 10201, 10151, 10195, 10161, 10150 -11390 , 10197, 10198, 14193, 10201, 14543, 14516, 14515, 14542 -11391 , 10199, 10200, 10198, 10197, 14544, 14517, 14516, 14543 -11392 , 10200, 14194, 10206, 10199, 10196, 10720, 10204, 10165 -11393 , 10206, 14194, 10200, 10199, 14545, 14518, 14517, 14544 -11394 , 14220, 14195, 14194, 10206, 14546, 14519, 14518, 14545 -11395 , 14221, 14196, 14195, 14220, 14547, 14520, 14519, 14546 -11396 , 14222, 14197, 14196, 14221, 14548, 14521, 14520, 14547 -11397 , 14223, 14198, 14197, 14222, 14550, 14522, 14521, 14548 -11398 , 14026, 14055, 12711, 12708, 14549, 14567, 12805, 12802 -11399 , 14225, 14199, 14198, 14223, 14551, 14523, 14522, 14550 -11400 , 14226, 14200, 14199, 14225, 14552, 14524, 14523, 14551 -11401 , 14227, 14201, 14200, 14226, 14553, 14525, 14524, 14552 -11402 , 14228, 14202, 14201, 14227, 14554, 14527, 14525, 14553 -11403 , 14230, 14203, 14202, 14228, 14555, 14528, 14527, 14554 -11404 , 14231, 14229, 14203, 14230, 14578, 14556, 14528, 14555 -11405 , 7848, 7702, 7853, 7849, 14229, 14232, 14557, 14556 -11406 , 7702, 7705, 7854, 7853, 14232, 14253, 14581, 14557 -11407 , 7850, 7710, 7707, 7704, 14208, 14234, 14254, 14233 -11408 , 7851, 7712, 7710, 7850, 14209, 14235, 14234, 14208 -11409 , 7852, 7855, 7712, 7851, 14558, 14582, 14235, 14209 -11410 , 14237, 14211, 14210, 14236, 14560, 14533, 14532, 14559 -11411 , 14236, 14210, 14209, 14235, 14559, 14532, 14558, 14582 -11412 , 14238, 14212, 14211, 14237, 14561, 14534, 14533, 14560 -11413 , 14239, 14213, 14212, 14238, 14562, 14535, 14534, 14561 -11414 , 14240, 14214, 14213, 14239, 14563, 14536, 14535, 14562 -11415 , 14241, 14215, 14214, 14240, 14564, 14537, 14536, 14563 -11416 , 14242, 14216, 14215, 14241, 14565, 14538, 14537, 14564 -11417 , 10210, 14217, 14216, 14242, 14566, 14539, 14538, 14565 -11418 , 10212, 14218, 14217, 10210, 10233, 14540, 14539, 14566 -11419 , 10213, 14219, 14218, 10212, 10235, 14541, 14540, 10233 -11420 , 14055, 14080, 12714, 12711, 14567, 14583, 12808, 12805 -11421 , 14219, 10201, 10202, 10213, 10148, 10150, 10162, 10158 -11422 , 10202, 10201, 14219, 10213, 10237, 14542, 14541, 10235 -11423 , 10203, 10197, 10201, 10202, 10239, 14543, 14542, 10237 -11424 , 10207, 10199, 10197, 10203, 14568, 14544, 14543, 10239 -11425 , 10208, 10206, 10199, 10207, 14569, 14545, 14544, 14568 -11426 , 10206, 14220, 10725, 10208, 10204, 10721, 10722, 10205 -11427 , 10725, 14220, 10206, 10208, 14570, 14546, 14545, 14569 -11428 , 10731, 14221, 14220, 10725, 14571, 14547, 14546, 14570 -11429 , 14245, 14222, 14221, 10731, 14572, 14548, 14547, 14571 -11430 , 14246, 14223, 14222, 14245, 14573, 14550, 14548, 14572 -11431 , 14247, 14225, 14223, 14246, 14574, 14551, 14550, 14573 -11432 , 14248, 14226, 14225, 14247, 14575, 14552, 14551, 14574 -11433 , 14249, 14227, 14226, 14248, 14576, 14553, 14552, 14575 -11434 , 14250, 14228, 14227, 14249, 14577, 14554, 14553, 14576 -11435 , 14251, 14230, 14228, 14250, 14579, 14555, 14554, 14577 -11436 , 14252, 14231, 14230, 14251, 14580, 14578, 14555, 14579 -11437 , 14269, 14253, 14231, 14252, 14596, 14581, 14578, 14580 -11438 , 14253, 14232, 14229, 14231, 14581, 14557, 14556, 14578 -11439 , 7705, 7708, 7856, 7854, 14253, 14269, 14596, 14581 -11440 , 7857, 7717, 7713, 7712, 14236, 14257, 14270, 14235 -11441 , 7855, 7858, 7857, 7712, 14582, 14559, 14236, 14235 -11442 , 7858, 7859, 7717, 7857, 14559, 14598, 14257, 14236 -11443 , 14080, 14103, 12717, 12714, 14583, 14593, 12811, 12808 -11444 , 14237, 14238, 14561, 14560, 14258, 14259, 14585, 14584 -11445 , 14258, 14237, 14236, 14257, 14584, 14560, 14559, 14598 -11446 , 14260, 14239, 14238, 14259, 14586, 14562, 14561, 14585 -11447 , 14261, 14240, 14239, 14260, 14587, 14563, 14562, 14586 -11448 , 14262, 14241, 14240, 14261, 14588, 14564, 14563, 14587 -11449 , 10219, 14242, 14241, 14262, 14589, 14565, 14564, 14588 -11450 , 14242, 10210, 10209, 10219, 10152, 10155, 10172, 10170 -11451 , 10209, 10210, 14242, 10219, 10240, 14566, 14565, 14589 -11452 , 10726, 10208, 10207, 10218, 10751, 14569, 14568, 10245 -11453 , 10729, 10725, 10208, 10726, 10753, 14570, 14569, 10751 -11454 , 10730, 10731, 10725, 10729, 10755, 14571, 14570, 10753 -11455 , 10736, 14245, 10731, 10730, 10758, 14572, 14571, 10755 -11456 , 10756, 14246, 14245, 10736, 10776, 14573, 14572, 10758 -11457 , 14263, 14247, 14246, 10756, 14590, 14574, 14573, 10776 -11458 , 14264, 14248, 14247, 14263, 14591, 14575, 14574, 14590 -11459 , 14265, 14249, 14248, 14264, 14592, 14576, 14575, 14591 -11460 , 14266, 14250, 14249, 14265, 14594, 14577, 14576, 14592 -11461 , 14103, 14124, 12720, 12717, 14593, 14603, 12814, 12811 -11462 , 14267, 14251, 14250, 14266, 14595, 14579, 14577, 14594 -11463 , 14268, 14252, 14251, 14267, 14597, 14580, 14579, 14595 -11464 , 14283, 14269, 14252, 14268, 14609, 14596, 14580, 14597 -11465 , 7708, 7715, 7860, 7856, 14269, 14283, 14609, 14596 -11466 , 7861, 7721, 7718, 7717, 14258, 14271, 14284, 14257 -11467 , 7859, 7862, 7861, 7717, 14598, 14584, 14258, 14257 -11468 , 7863, 7722, 7721, 7861, 14259, 14272, 14271, 14258 -11469 , 7862, 7864, 7863, 7861, 14584, 14585, 14259, 14258 -11470 , 7864, 7865, 7722, 7863, 14585, 14610, 14272, 14259 -11471 , 14274, 14261, 14260, 14273, 14600, 14587, 14586, 14599 -11472 , 14273, 14260, 14259, 14272, 14599, 14586, 14585, 14610 -11473 , 14275, 14262, 14261, 14274, 14601, 14588, 14587, 14600 -11474 , 10228, 10219, 14262, 14275, 14602, 14589, 14588, 14601 -11475 , 10220, 10209, 10219, 10228, 10248, 10240, 14589, 14602 -11476 , 14124, 14146, 12723, 12720, 14603, 14615, 12817, 12814 -11477 , 14277, 14263, 10756, 10747, 14604, 14590, 10776, 10768 -11478 , 14278, 14264, 14263, 14277, 14605, 14591, 14590, 14604 -11479 , 14279, 14265, 14264, 14278, 14606, 14592, 14591, 14605 -11480 , 14280, 14266, 14265, 14279, 14607, 14594, 14592, 14606 -11481 , 14281, 14267, 14266, 14280, 14608, 14595, 14594, 14607 -11482 , 14282, 14268, 14267, 14281, 14621, 14597, 14595, 14608 -11483 , 7715, 7720, 7866, 7867, 14283, 14295, 14282, 14268 -11484 , 7868, 7860, 7715, 7867, 14597, 14609, 14283, 14268 -11485 , 7867, 7866, 7869, 7868, 14268, 14282, 14621, 14597 -11486 , 7870, 7727, 7723, 7722, 14273, 14285, 14297, 14272 -11487 , 7865, 7871, 7870, 7722, 14610, 14599, 14273, 14272 -11488 , 7871, 7872, 7727, 7870, 14599, 14622, 14285, 14273 -11489 , 14288, 14275, 14274, 14286, 14612, 14601, 14600, 14611 -11490 , 14286, 14274, 14273, 14285, 14611, 14600, 14599, 14622 -11491 , 14275, 10228, 10229, 14288, 10181, 10182, 10191, 10227 -11492 , 10229, 10228, 14275, 14288, 14613, 14602, 14601, 14612 -11493 , 10230, 10220, 10228, 10229, 14614, 10248, 14602, 14613 -11494 , 14146, 14167, 12726, 12723, 14615, 14627, 12820, 12817 -11495 , 14289, 14277, 10747, 10767, 14616, 14604, 10768, 10777 -11496 , 14290, 14278, 14277, 14289, 14617, 14605, 14604, 14616 -11497 , 14291, 14279, 14278, 14290, 14618, 14606, 14605, 14617 -11498 , 14292, 14280, 14279, 14291, 14619, 14607, 14606, 14618 -11499 , 14293, 14281, 14280, 14292, 14620, 14608, 14607, 14619 -11500 , 14294, 14282, 14281, 14293, 14645, 14621, 14608, 14620 -11501 , 7720, 7726, 7873, 7866, 14295, 14315, 14294, 14282 -11502 , 7866, 7873, 7874, 7869, 14282, 14294, 14645, 14621 -11503 , 7872, 7875, 7728, 7727, 14622, 14611, 14286, 14285 -11504 , 7875, 7876, 7731, 7728, 14611, 14646, 14318, 14286 -11505 , 14623, 10229, 14288, 14624, 14626, 14613, 14612, 14625 -11506 , 14288, 10229, 14623, 14624, 10227, 10191, 13997, 14299 -11507 , 14288, 14624, 14625, 14612, 14286, 14318, 14646, 14611 -11508 , 10227, 14299, 14624, 14288, 13972, 14298, 14318, 14286 -11509 , 14300, 10230, 10229, 14623, 14628, 14614, 14613, 14626 -11510 , 14167, 14189, 12730, 12726, 14627, 14649, 12823, 12820 -11511 , 14301, 10231, 10230, 14300, 14629, 10759, 14614, 14628 -11512 , 10615, 10613, 10231, 14301, 14630, 10760, 10759, 14629 -11513 , 10617, 10607, 10613, 10615, 14631, 10761, 10760, 14630 -11514 , 10627, 10609, 10607, 10617, 14632, 10762, 10761, 14631 -11515 , 14302, 10610, 10609, 10627, 14633, 10763, 10762, 14632 -11516 , 10609, 10610, 14302, 10627, 10606, 10608, 10628, 10626 -11517 , 14303, 10741, 10610, 14302, 14634, 10764, 10763, 14633 -11518 , 14304, 10743, 10741, 14303, 14635, 10765, 10764, 14634 -11519 , 14305, 10745, 10743, 14304, 14636, 10766, 10765, 14635 -11520 , 14306, 10749, 10745, 14305, 14637, 10769, 10766, 14636 -11521 , 14307, 10767, 10749, 14306, 14638, 10777, 10769, 14637 -11522 , 14308, 14289, 10767, 14307, 14640, 14616, 10777, 14638 -11523 , 7841, 7877, 7094, 7089, 14639, 14776, 12318, 12315 -11524 , 14309, 14290, 14289, 14308, 14641, 14617, 14616, 14640 -11525 , 14310, 14291, 14290, 14309, 14642, 14618, 14617, 14641 -11526 , 14311, 14292, 14291, 14310, 14643, 14619, 14618, 14642 -11527 , 14314, 14293, 14292, 14311, 14644, 14620, 14619, 14643 -11528 , 14316, 14294, 14293, 14314, 14666, 14645, 14620, 14644 -11529 , 7726, 7732, 7743, 7873, 14315, 14334, 14316, 14294 -11530 , 7873, 7743, 7878, 7874, 14294, 14316, 14666, 14645 -11531 , 7876, 7879, 7735, 7731, 14646, 14669, 14335, 14318 -11532 , 14647, 14623, 14624, 14337, 14650, 14626, 14625, 14648 -11533 , 14624, 14623, 14647, 14337, 14299, 13997, 14320, 14319 -11534 , 14624, 14337, 14648, 14625, 14318, 14335, 14669, 14646 -11535 , 14298, 14299, 14624, 14318, 14317, 14319, 14337, 14335 -11536 , 14189, 14207, 12733, 12730, 14649, 14670, 12826, 12823 -11537 , 14340, 14300, 14623, 14647, 14651, 14628, 14626, 14650 -11538 , 14623, 14300, 14340, 14647, 13997, 13998, 14321, 14320 -11539 , 14300, 14301, 14629, 14628, 14340, 14341, 14652, 14651 -11540 , 13998, 10612, 14301, 14300, 14321, 14323, 14341, 14340 -11541 , 14301, 10615, 14630, 14629, 14341, 14342, 14653, 14652 -11542 , 10612, 10611, 10615, 14301, 14323, 14324, 14342, 14341 -11543 , 10615, 10617, 14631, 14630, 14342, 14343, 14654, 14653 -11544 , 10611, 10614, 10617, 10615, 14324, 14325, 14343, 14342 -11545 , 10617, 10627, 14632, 14631, 14343, 14344, 14655, 14654 -11546 , 10614, 10626, 10627, 10617, 14325, 11739, 14344, 14343 -11547 , 10627, 14302, 14633, 14632, 14344, 14326, 14656, 14655 -11548 , 14327, 14303, 14302, 14326, 14657, 14634, 14633, 14656 -11549 , 11579, 14304, 14303, 14327, 14658, 14635, 14634, 14657 -11550 , 11581, 14305, 14304, 11579, 14659, 14636, 14635, 14658 -11551 , 11583, 14306, 14305, 11581, 14660, 14637, 14636, 14659 -11552 , 11585, 14307, 14306, 11583, 14661, 14638, 14637, 14660 -11553 , 14328, 14308, 14307, 11585, 14662, 14640, 14638, 14661 -11554 , 14329, 14309, 14308, 14328, 14663, 14641, 14640, 14662 -11555 , 14330, 14310, 14309, 14329, 14664, 14642, 14641, 14663 -11556 , 14332, 14311, 14310, 14330, 14665, 14643, 14642, 14664 -11557 , 14333, 14314, 14311, 14332, 14667, 14644, 14643, 14665 -11558 , 14346, 14316, 14314, 14333, 14675, 14666, 14644, 14667 -11559 , 7743, 7744, 7880, 7878, 14316, 14346, 14675, 14666 -11560 , 7735, 7881, 7748, 7745, 14335, 14668, 14348, 14337 -11561 , 7879, 7882, 7881, 7735, 14669, 14676, 14668, 14335 -11562 , 14207, 14224, 12736, 12733, 14670, 14677, 12829, 12826 -11563 , 14337, 14647, 14650, 14648, 14348, 14349, 14671, 14678 -11564 , 14647, 14340, 14651, 14650, 14349, 14350, 14681, 14671 -11565 , 14319, 14320, 14647, 14337, 14336, 14338, 14349, 14348 -11566 , 14320, 14321, 14340, 14647, 14338, 14339, 14350, 14349 -11567 , 7750, 7752, 7883, 7751, 14340, 14350, 14672, 14341 -11568 , 7751, 7883, 7884, 7753, 14341, 14672, 14673, 14342 -11569 , 7885, 7886, 7754, 7753, 14653, 14654, 14343, 14342 -11570 , 7753, 7884, 7887, 7885, 14342, 14673, 14683, 14653 -11571 , 7886, 7888, 7755, 7754, 14654, 14655, 14344, 14343 -11572 , 7888, 7889, 7756, 7755, 14655, 14656, 14326, 14344 -11573 , 7889, 7890, 7757, 7756, 14656, 11668, 11627, 14326 -11574 , 14327, 11579, 11578, 11586, 11526, 11528, 11527, 11525 -11575 , 11578, 11579, 14327, 11586, 11631, 14658, 14657, 11629 -11576 , 14327, 11586, 11629, 14657, 14326, 11627, 11668, 14656 -11577 , 11580, 11581, 11579, 11578, 11633, 14659, 14658, 11631 -11578 , 11582, 11583, 11581, 11580, 11635, 14660, 14659, 11633 -11579 , 11584, 11585, 11583, 11582, 11637, 14661, 14660, 11635 -11580 , 11585, 14328, 11591, 11584, 11534, 11536, 11535, 11533 -11581 , 11591, 14328, 11585, 11584, 11639, 14662, 14661, 11637 -11582 , 11595, 14329, 14328, 11591, 11641, 14663, 14662, 11639 -11583 , 11598, 14330, 14329, 11595, 11679, 14664, 14663, 11641 -11584 , 14330, 14332, 14665, 14664, 11598, 11642, 14674, 11679 -11585 , 14674, 11642, 14332, 14665, 14684, 14347, 14333, 14667 -11586 , 7744, 7758, 7762, 7891, 14346, 14351, 14347, 14333 -11587 , 7892, 7880, 7744, 7891, 14667, 14675, 14346, 14333 -11588 , 7891, 7762, 7893, 7892, 14333, 14347, 14684, 14667 -11589 , 7882, 7894, 7748, 7881, 14676, 14678, 14348, 14668 -11590 , 14224, 14244, 12741, 12736, 14677, 14687, 12832, 12829 -11591 , 7894, 7895, 7759, 7748, 14678, 14671, 14349, 14348 -11592 , 7759, 7896, 7897, 7752, 14349, 14679, 14680, 14350 -11593 , 7895, 7898, 7896, 7759, 14671, 14685, 14679, 14349 -11594 , 7899, 7900, 7883, 7752, 14681, 14682, 14672, 14350 -11595 , 7752, 7897, 7901, 7899, 14350, 14680, 14686, 14681 -11596 , 7900, 7887, 7884, 7883, 14682, 14683, 14673, 14672 -11597 , 7905, 7906, 7761, 7904, 11679, 14674, 11642, 11598 -11598 , 7906, 7893, 7762, 7761, 14674, 14684, 14347, 11642 -11599 , 7898, 7901, 7897, 7896, 14685, 14686, 14680, 14679 -11600 , 14244, 14255, 12744, 12741, 14687, 14689, 12837, 12832 -11601 , 14255, 14688, 12835, 12744, 14689, 14690, 12839, 12837 -11602 , 7783, 7923, 7785, 7784, 14356, 14373, 14371, 14355 -11603 , 7786, 7924, 7923, 7783, 14357, 14372, 14373, 14356 -11604 , 7787, 7925, 7924, 7786, 14358, 14375, 14372, 14357 -11605 , 7788, 7926, 7925, 7787, 14359, 14377, 14375, 14358 -11606 , 7789, 7927, 7926, 7788, 14360, 14379, 14377, 14359 -11607 , 7790, 7928, 7927, 7789, 14361, 14381, 14379, 14360 -11608 , 12839, 14690, 14688, 12835, 12920, 15199, 14691, 12841 -11609 , 12835, 14688, 14256, 12746, 12841, 14691, 14276, 12750 -11610 , 7792, 7796, 7928, 7790, 14362, 14384, 14381, 14361 -11611 , 7801, 7929, 7803, 7802, 14365, 14393, 14391, 14364 -11612 , 7804, 7930, 7929, 7801, 14366, 14392, 14393, 14365 -11613 , 7805, 7931, 7930, 7804, 14367, 14395, 14392, 14366 -11614 , 7806, 7932, 7931, 7805, 14368, 14397, 14395, 14367 -11615 , 7807, 7933, 7932, 7806, 14369, 14399, 14397, 14368 -11616 , 7807, 7808, 7934, 7935, 14369, 14370, 14693, 14692 -11617 , 7935, 7936, 7933, 7807, 14692, 14703, 14399, 14369 -11618 , 7808, 7785, 7937, 7934, 14370, 14371, 14694, 14693 -11619 , 7785, 7923, 7938, 7937, 14371, 14373, 14695, 14694 -11620 , 7923, 7924, 7939, 7938, 14373, 14372, 14696, 14695 -11621 , 7924, 7925, 7940, 7939, 14372, 14375, 14697, 14696 -11622 , 7925, 7926, 7941, 7940, 14375, 14377, 14698, 14697 -11623 , 14379, 7927, 7926, 14377, 14719, 8061, 7941, 14698 -11624 , 14381, 7928, 7927, 14379, 14722, 8063, 8061, 14719 -11625 , 14384, 7796, 7928, 14381, 14724, 8065, 8063, 14722 -11626 , 14385, 7809, 7796, 14384, 14996, 8067, 8065, 14724 -11627 , 7810, 7942, 7943, 7809, 14386, 14415, 14413, 14385 -11628 , 14413, 7943, 7809, 14385, 14725, 8068, 8067, 14996 -11629 , 7812, 7816, 7942, 7810, 14388, 14418, 14415, 14386 -11630 , 7719, 7944, 7177, 7165, 14691, 15199, 12920, 12841 -11631 , 7818, 7945, 7820, 7819, 14390, 14424, 14422, 14389 -11632 , 7803, 7946, 7945, 7818, 14391, 14423, 14424, 14390 -11633 , 7929, 7947, 7946, 7803, 14393, 14394, 14423, 14391 -11634 , 7929, 7930, 7948, 7949, 14393, 14392, 14700, 14699 -11635 , 7949, 7950, 7947, 7929, 14699, 14728, 14394, 14393 -11636 , 7930, 7931, 7951, 7948, 14392, 14395, 14701, 14700 -11637 , 7931, 7932, 7952, 7951, 14395, 14397, 14702, 14701 -11638 , 7932, 7933, 7936, 7952, 14397, 14399, 14703, 14702 -11639 , 14405, 14403, 14401, 14404, 14708, 14704, 14705, 14706 -11640 , 14403, 14371, 14370, 14401, 14704, 14694, 14693, 14705 -11641 , 14404, 14401, 14399, 14402, 14706, 14705, 14703, 14734 -11642 , 14401, 14370, 14369, 14399, 14705, 14693, 14692, 14703 -11643 , 14406, 14374, 14403, 14405, 14710, 14707, 14704, 14708 -11644 , 14374, 14373, 14371, 14403, 14707, 14695, 14694, 14704 -11645 , 14407, 14376, 14374, 14406, 14712, 14709, 14707, 14710 -11646 , 14376, 14372, 14373, 14374, 14709, 14696, 14695, 14707 -11647 , 14408, 14378, 14376, 14407, 14714, 14711, 14709, 14712 -11648 , 14378, 14375, 14372, 14376, 14711, 14697, 14696, 14709 -11649 , 14409, 14380, 14378, 14408, 14716, 14713, 14711, 14714 -11650 , 14380, 14377, 14375, 14378, 14713, 14698, 14697, 14711 -11651 , 14410, 14382, 14380, 14409, 14718, 14715, 14713, 14716 -11652 , 14382, 14379, 14377, 14380, 14715, 14719, 14698, 14713 -11653 , 14412, 14383, 14382, 14410, 14721, 14717, 14715, 14718 -11654 , 14383, 14381, 14379, 14382, 14717, 14722, 14719, 14715 -11655 , 14414, 14411, 14383, 14412, 14723, 14720, 14717, 14721 -11656 , 14411, 14384, 14381, 14383, 14720, 14724, 14722, 14717 -11657 , 14416, 14413, 14411, 14414, 14745, 14725, 14720, 14723 -11658 , 14413, 14385, 14384, 14411, 14725, 14996, 14724, 14720 -11659 , 14415, 7942, 7943, 14413, 15006, 8085, 8068, 14725 -11660 , 7816, 7953, 7954, 7942, 14418, 14442, 14417, 14415 -11661 , 14417, 7954, 7942, 14415, 14749, 8086, 8085, 15006 -11662 , 7821, 7825, 7953, 7816, 14420, 14445, 14442, 14418 -11663 , 7171, 7955, 7956, 7725, 12845, 12849, 14748, 14726 -11664 , 7820, 7957, 7827, 7826, 14422, 14449, 14448, 14421 -11665 , 7945, 7958, 7957, 7820, 14424, 14425, 14449, 14422 -11666 , 7946, 7959, 7958, 7945, 14423, 14426, 14425, 14424 -11667 , 7946, 7947, 7950, 7960, 14423, 14394, 14728, 14727 -11668 , 7960, 7961, 7959, 7946, 14727, 14750, 14426, 14423 -11669 , 14429, 14398, 14396, 14428, 14733, 14729, 14730, 14731 -11670 , 14398, 14395, 14392, 14396, 14729, 14701, 14700, 14730 -11671 , 14428, 14396, 14394, 14427, 14731, 14730, 14728, 14751 -11672 , 14396, 14392, 14393, 14394, 14730, 14700, 14699, 14728 -11673 , 14430, 14400, 14398, 14429, 14735, 14732, 14729, 14733 -11674 , 14400, 14397, 14395, 14398, 14732, 14702, 14701, 14729 -11675 , 14431, 14402, 14400, 14430, 14736, 14734, 14732, 14735 -11676 , 14402, 14399, 14397, 14400, 14734, 14703, 14702, 14732 -11677 , 14432, 14404, 14402, 14431, 14737, 14706, 14734, 14736 -11678 , 7171, 7180, 7962, 7955, 12845, 12926, 12850, 12849 -11679 , 14433, 14405, 14404, 14432, 14738, 14708, 14706, 14737 -11680 , 14434, 14406, 14405, 14433, 14739, 14710, 14708, 14738 -11681 , 14435, 14407, 14406, 14434, 14740, 14712, 14710, 14739 -11682 , 14436, 14408, 14407, 14435, 14741, 14714, 14712, 14740 -11683 , 14437, 14409, 14408, 14436, 14742, 14716, 14714, 14741 -11684 , 14438, 14410, 14409, 14437, 14743, 14718, 14716, 14742 -11685 , 14439, 14412, 14410, 14438, 14744, 14721, 14718, 14743 -11686 , 14440, 14414, 14412, 14439, 14746, 14723, 14721, 14744 -11687 , 14441, 14416, 14414, 14440, 14747, 14745, 14723, 14746 -11688 , 14443, 14417, 14416, 14441, 14767, 14749, 14745, 14747 -11689 , 7955, 7962, 7963, 7956, 12849, 12850, 15252, 14748 -11690 , 14417, 14415, 14413, 14416, 14749, 15006, 14725, 14745 -11691 , 14442, 7953, 7954, 14417, 14772, 8098, 8086, 14749 -11692 , 14445, 7825, 7953, 14442, 15030, 8100, 8098, 14772 -11693 , 7828, 7831, 7964, 7825, 14447, 14473, 14470, 14445 -11694 , 14470, 7964, 7825, 14445, 14773, 8101, 8100, 15030 -11695 , 7957, 7965, 7833, 7827, 14449, 14450, 14475, 14448 -11696 , 7958, 7966, 7965, 7957, 14425, 14451, 14450, 14449 -11697 , 7959, 7967, 7966, 7958, 14426, 14452, 14451, 14425 -11698 , 7961, 7968, 7967, 7959, 14750, 14775, 14452, 14426 -11699 , 14454, 14428, 14427, 14453, 14753, 14731, 14751, 14752 -11700 , 14453, 14427, 14426, 14452, 14752, 14751, 14750, 14775 -11701 , 14427, 14394, 14423, 14426, 14751, 14728, 14727, 14750 -11702 , 14455, 14429, 14428, 14454, 14754, 14733, 14731, 14753 -11703 , 14456, 14430, 14429, 14455, 14755, 14735, 14733, 14754 -11704 , 14457, 14431, 14430, 14456, 14756, 14736, 14735, 14755 -11705 , 14458, 14432, 14431, 14457, 14757, 14737, 14736, 14756 -11706 , 14459, 14433, 14432, 14458, 14758, 14738, 14737, 14757 -11707 , 14460, 14434, 14433, 14459, 14759, 14739, 14738, 14758 -11708 , 14461, 14435, 14434, 14460, 14760, 14740, 14739, 14759 -11709 , 14462, 14436, 14435, 14461, 14761, 14741, 14740, 14760 -11710 , 14463, 14437, 14436, 14462, 14762, 14742, 14741, 14761 -11711 , 14464, 14438, 14437, 14463, 14763, 14743, 14742, 14762 -11712 , 14465, 14439, 14438, 14464, 14765, 14744, 14743, 14763 -11713 , 14313, 14331, 12766, 12763, 14764, 14785, 12858, 12854 -11714 , 14313, 14764, 12854, 12763, 14748, 15252, 12850, 12849 -11715 , 14466, 14440, 14439, 14465, 14766, 14746, 14744, 14765 -11716 , 14467, 14441, 14440, 14466, 14768, 14747, 14746, 14766 -11717 , 14468, 14443, 14441, 14467, 14770, 14767, 14747, 14768 -11718 , 14471, 14444, 14443, 14468, 14771, 14769, 14767, 14770 -11719 , 14769, 14444, 14443, 14767, 14772, 14442, 14417, 14749 -11720 , 14472, 14470, 14444, 14471, 14794, 14773, 14769, 14771 -11721 , 14470, 14445, 14442, 14444, 14773, 15030, 14772, 14769 -11722 , 7834, 7836, 7969, 7831, 14474, 14501, 14498, 14473 -11723 , 7831, 7969, 7970, 7971, 14473, 14498, 14797, 14774 -11724 , 7831, 14473, 14774, 7971, 7964, 14470, 14773, 8101 -11725 , 7965, 7972, 7839, 7833, 14450, 14476, 14503, 14475 -11726 , 7966, 7973, 7972, 7965, 14451, 14478, 14476, 14450 -11727 , 7967, 7974, 7973, 7966, 14452, 14479, 14478, 14451 -11728 , 7968, 7975, 7974, 7967, 14775, 14800, 14479, 14452 -11729 , 7877, 7018, 7017, 7094, 14776, 14962, 12320, 12318 -11730 , 14481, 14454, 14453, 14480, 14778, 14753, 14752, 14777 -11731 , 14480, 14453, 14452, 14479, 14777, 14752, 14775, 14800 -11732 , 14482, 14455, 14454, 14481, 14779, 14754, 14753, 14778 -11733 , 14483, 14456, 14455, 14482, 14780, 14755, 14754, 14779 -11734 , 14484, 14457, 14456, 14483, 14781, 14756, 14755, 14780 -11735 , 14485, 14458, 14457, 14484, 14782, 14757, 14756, 14781 -11736 , 14486, 14459, 14458, 14485, 14783, 14758, 14757, 14782 -11737 , 14487, 14460, 14459, 14486, 14784, 14759, 14758, 14783 -11738 , 14488, 14461, 14460, 14487, 14786, 14760, 14759, 14784 -11739 , 14331, 14345, 12769, 12766, 14785, 14804, 12861, 12858 -11740 , 14490, 14462, 14461, 14488, 14787, 14761, 14760, 14786 -11741 , 14491, 14463, 14462, 14490, 14788, 14762, 14761, 14787 -11742 , 14492, 14464, 14463, 14491, 14789, 14763, 14762, 14788 -11743 , 14493, 14465, 14464, 14492, 14790, 14765, 14763, 14789 -11744 , 14494, 14466, 14465, 14493, 14791, 14766, 14765, 14790 -11745 , 14495, 14467, 14466, 14494, 14792, 14768, 14766, 14791 -11746 , 14496, 14468, 14467, 14495, 14793, 14770, 14768, 14792 -11747 , 14497, 14471, 14468, 14496, 14795, 14771, 14770, 14793 -11748 , 14499, 14472, 14471, 14497, 14796, 14794, 14771, 14795 -11749 , 14500, 14498, 14472, 14499, 14819, 14797, 14794, 14796 -11750 , 14498, 14473, 14470, 14472, 14797, 14774, 14773, 14794 -11751 , 7969, 7836, 7976, 7970, 14498, 14501, 14798, 14797 -11752 , 7843, 7844, 7977, 7836, 14502, 14529, 14526, 14501 -11753 , 7836, 7977, 7978, 7976, 14501, 14526, 14822, 14798 -11754 , 7972, 7979, 7847, 7839, 14476, 14504, 14531, 14503 -11755 , 7973, 7980, 7979, 7972, 14478, 14505, 14504, 14476 -11756 , 7973, 7974, 7975, 7981, 14478, 14479, 14800, 14799 -11757 , 7981, 7982, 7980, 7973, 14799, 14824, 14505, 14478 -11758 , 14508, 14481, 14480, 14507, 14802, 14778, 14777, 14801 -11759 , 14507, 14480, 14479, 14506, 14801, 14777, 14800, 14825 -11760 , 14510, 14482, 14481, 14508, 14803, 14779, 14778, 14802 -11761 , 14511, 14483, 14482, 14510, 14805, 14780, 14779, 14803 -11762 , 14345, 14352, 12772, 12769, 14804, 14823, 12864, 12861 -11763 , 14512, 14484, 14483, 14511, 14806, 14781, 14780, 14805 -11764 , 14513, 14485, 14484, 14512, 14807, 14782, 14781, 14806 -11765 , 14514, 14486, 14485, 14513, 14808, 14783, 14782, 14807 -11766 , 14515, 14487, 14486, 14514, 14809, 14784, 14783, 14808 -11767 , 14516, 14488, 14487, 14515, 14810, 14786, 14784, 14809 -11768 , 14517, 14490, 14488, 14516, 14811, 14787, 14786, 14810 -11769 , 14518, 14491, 14490, 14517, 14812, 14788, 14787, 14811 -11770 , 14519, 14492, 14491, 14518, 14813, 14789, 14788, 14812 -11771 , 14520, 14493, 14492, 14519, 14814, 14790, 14789, 14813 -11772 , 14521, 14494, 14493, 14520, 14815, 14791, 14790, 14814 -11773 , 14522, 14495, 14494, 14521, 14816, 14792, 14791, 14815 -11774 , 14523, 14496, 14495, 14522, 14817, 14793, 14792, 14816 -11775 , 14524, 14497, 14496, 14523, 14818, 14795, 14793, 14817 -11776 , 14525, 14499, 14497, 14524, 14820, 14796, 14795, 14818 -11777 , 14527, 14500, 14499, 14525, 14821, 14819, 14796, 14820 -11778 , 14528, 14526, 14500, 14527, 14847, 14822, 14819, 14821 -11779 , 14526, 14501, 14498, 14500, 14822, 14798, 14797, 14819 -11780 , 7844, 7849, 7983, 7977, 14529, 14556, 14528, 14526 -11781 , 7977, 7983, 7984, 7978, 14526, 14528, 14847, 14822 -11782 , 7979, 7985, 7852, 7847, 14504, 14532, 14558, 14531 -11783 , 7980, 7986, 7985, 7979, 14505, 14533, 14532, 14504 -11784 , 14352, 14353, 12775, 12772, 14823, 14845, 12867, 12864 -11785 , 7982, 7987, 7986, 7980, 14824, 14849, 14533, 14505 -11786 , 14535, 14507, 14506, 14534, 14827, 14801, 14825, 14826 -11787 , 14534, 14506, 14505, 14533, 14826, 14825, 14824, 14849 -11788 , 14506, 14479, 14478, 14505, 14825, 14800, 14799, 14824 -11789 , 14536, 14508, 14507, 14535, 14828, 14802, 14801, 14827 -11790 , 14537, 14510, 14508, 14536, 14829, 14803, 14802, 14828 -11791 , 14538, 14511, 14510, 14537, 14830, 14805, 14803, 14829 -11792 , 14539, 14512, 14511, 14538, 14831, 14806, 14805, 14830 -11793 , 14540, 14513, 14512, 14539, 14832, 14807, 14806, 14831 -11794 , 14541, 14514, 14513, 14540, 14833, 14808, 14807, 14832 -11795 , 14542, 14515, 14514, 14541, 14834, 14809, 14808, 14833 -11796 , 14543, 14516, 14515, 14542, 14835, 14810, 14809, 14834 -11797 , 14544, 14517, 14516, 14543, 14836, 14811, 14810, 14835 -11798 , 14545, 14518, 14517, 14544, 14837, 14812, 14811, 14836 -11799 , 14546, 14519, 14518, 14545, 14838, 14813, 14812, 14837 -11800 , 14547, 14520, 14519, 14546, 14839, 14814, 14813, 14838 -11801 , 14548, 14521, 14520, 14547, 14840, 14815, 14814, 14839 -11802 , 14550, 14522, 14521, 14548, 14841, 14816, 14815, 14840 -11803 , 14551, 14523, 14522, 14550, 14842, 14817, 14816, 14841 -11804 , 14552, 14524, 14523, 14551, 14843, 14818, 14817, 14842 -11805 , 14553, 14525, 14524, 14552, 14844, 14820, 14818, 14843 -11806 , 14554, 14527, 14525, 14553, 14846, 14821, 14820, 14844 -11807 , 12775, 14353, 14354, 12778, 12867, 14845, 10909, 10910 -11808 , 14555, 14528, 14527, 14554, 14869, 14847, 14821, 14846 -11809 , 7983, 7849, 7988, 7984, 14528, 14556, 14848, 14847 -11810 , 7853, 7854, 7989, 7849, 14557, 14581, 14578, 14556 -11811 , 7849, 7989, 7990, 7988, 14556, 14578, 14871, 14848 -11812 , 7985, 7858, 7855, 7852, 14532, 14559, 14582, 14558 -11813 , 7986, 7991, 7858, 7985, 14533, 14560, 14559, 14532 -11814 , 7987, 7992, 7991, 7986, 14849, 14873, 14560, 14533 -11815 , 14562, 14535, 14534, 14561, 14851, 14827, 14826, 14850 -11816 , 14561, 14534, 14533, 14560, 14850, 14826, 14849, 14873 -11817 , 14563, 14536, 14535, 14562, 14852, 14828, 14827, 14851 -11818 , 14564, 14537, 14536, 14563, 14853, 14829, 14828, 14852 -11819 , 14565, 14538, 14537, 14564, 14854, 14830, 14829, 14853 -11820 , 14566, 14539, 14538, 14565, 14855, 14831, 14830, 14854 -11821 , 10233, 14540, 14539, 14566, 14856, 14832, 14831, 14855 -11822 , 10235, 14541, 14540, 10233, 14857, 14833, 14832, 14856 -11823 , 10237, 14542, 14541, 10235, 14858, 14834, 14833, 14857 -11824 , 10239, 14543, 14542, 10237, 14859, 14835, 14834, 14858 -11825 , 14568, 14544, 14543, 10239, 14860, 14836, 14835, 14859 -11826 , 14569, 14545, 14544, 14568, 14861, 14837, 14836, 14860 -11827 , 14570, 14546, 14545, 14569, 14862, 14838, 14837, 14861 -11828 , 14571, 14547, 14546, 14570, 14863, 14839, 14838, 14862 -11829 , 12778, 14354, 10897, 10900, 10910, 10909, 10898, 10899 -11830 , 14572, 14548, 14547, 14571, 14864, 14840, 14839, 14863 -11831 , 14573, 14550, 14548, 14572, 14865, 14841, 14840, 14864 -11832 , 14574, 14551, 14550, 14573, 14866, 14842, 14841, 14865 -11833 , 14575, 14552, 14551, 14574, 14867, 14843, 14842, 14866 -11834 , 14576, 14553, 14552, 14575, 14868, 14844, 14843, 14867 -11835 , 14577, 14554, 14553, 14576, 14870, 14846, 14844, 14868 -11836 , 14579, 14555, 14554, 14577, 14872, 14869, 14846, 14870 -11837 , 14578, 14556, 14528, 14555, 14871, 14848, 14847, 14869 -11838 , 14580, 14578, 14555, 14579, 14894, 14871, 14869, 14872 -11839 , 7854, 7856, 7993, 7989, 14581, 14596, 14580, 14578 -11840 , 7989, 7993, 7994, 7990, 14578, 14580, 14894, 14871 -11841 , 7991, 7862, 7859, 7858, 14560, 14584, 14598, 14559 -11842 , 7992, 7995, 7862, 7991, 14873, 14895, 14584, 14560 -11843 , 14586, 14562, 14561, 14585, 14875, 14851, 14850, 14874 -11844 , 14585, 14561, 14560, 14584, 14874, 14850, 14873, 14895 -11845 , 14587, 14563, 14562, 14586, 14876, 14852, 14851, 14875 -11846 , 14588, 14564, 14563, 14587, 14877, 14853, 14852, 14876 -11847 , 14589, 14565, 14564, 14588, 14878, 14854, 14853, 14877 -11848 , 10240, 14566, 14565, 14589, 14879, 14855, 14854, 14878 -11849 , 14566, 10233, 10232, 10240, 10210, 10212, 10211, 10209 -11850 , 10232, 10233, 14566, 10240, 14880, 14856, 14855, 14879 -11851 , 10234, 10235, 10233, 10232, 14881, 14857, 14856, 14880 -11852 , 10236, 10237, 10235, 10234, 14882, 14858, 14857, 14881 -11853 , 10238, 10239, 10237, 10236, 14883, 14859, 14858, 14882 -11854 , 10239, 14568, 10245, 10238, 10203, 10207, 10218, 10217 -11855 , 10245, 14568, 10239, 10238, 14884, 14860, 14859, 14883 -11856 , 10751, 14569, 14568, 10245, 14885, 14861, 14860, 14884 -11857 , 10753, 14570, 14569, 10751, 14886, 14862, 14861, 14885 -11858 , 10755, 14571, 14570, 10753, 14887, 14863, 14862, 14886 -11859 , 10758, 14572, 14571, 10755, 14888, 14864, 14863, 14887 -11860 , 10776, 14573, 14572, 10758, 14889, 14865, 14864, 14888 -11861 , 14590, 14574, 14573, 10776, 14890, 14866, 14865, 14889 -11862 , 14591, 14575, 14574, 14590, 14891, 14867, 14866, 14890 -11863 , 14592, 14576, 14575, 14591, 14892, 14868, 14867, 14891 -11864 , 14594, 14577, 14576, 14592, 14893, 14870, 14868, 14892 -11865 , 14893, 14594, 14577, 14870, 14913, 14595, 14579, 14872 -11866 , 7993, 7868, 7996, 7997, 14580, 14597, 14595, 14579 -11867 , 7998, 7994, 7993, 7997, 14872, 14894, 14580, 14579 -11868 , 7997, 7996, 7999, 7998, 14579, 14595, 14913, 14872 -11869 , 7856, 7860, 7868, 7993, 14596, 14609, 14597, 14580 -11870 , 7995, 8000, 7864, 7862, 14895, 14874, 14585, 14584 -11871 , 8001, 7871, 7865, 7864, 14586, 14599, 14610, 14585 -11872 , 8000, 8002, 8001, 7864, 14874, 14875, 14586, 14585 -11873 , 8003, 8004, 7871, 8001, 14587, 14600, 14599, 14586 -11874 , 8002, 8005, 8003, 8001, 14875, 14876, 14587, 14586 -11875 , 8005, 8006, 8004, 8003, 14876, 14914, 14600, 14587 -11876 , 14602, 14589, 14588, 14601, 14897, 14878, 14877, 14896 -11877 , 14601, 14588, 14587, 14600, 14896, 14877, 14876, 14914 -11878 , 10248, 10240, 14589, 14602, 14898, 14879, 14878, 14897 -11879 , 10241, 10232, 10240, 10248, 14899, 14880, 14879, 14898 -11880 , 10242, 10234, 10232, 10241, 14900, 14881, 14880, 14899 -11881 , 10243, 10236, 10234, 10242, 14901, 14882, 14881, 14900 -11882 , 10246, 10238, 10236, 10243, 14902, 14883, 14882, 14901 -11883 , 10247, 10245, 10238, 10246, 14903, 14884, 14883, 14902 -11884 , 10750, 10751, 10245, 10247, 14904, 14885, 14884, 14903 -11885 , 10752, 10753, 10751, 10750, 14905, 14886, 14885, 14904 -11886 , 10754, 10755, 10753, 10752, 14906, 14887, 14886, 14905 -11887 , 10757, 10758, 10755, 10754, 14907, 14888, 14887, 14906 -11888 , 10768, 10776, 10758, 10757, 14908, 14889, 14888, 14907 -11889 , 14604, 14590, 10776, 10768, 14909, 14890, 14889, 14908 -11890 , 14605, 14591, 14590, 14604, 14910, 14891, 14890, 14909 -11891 , 14606, 14592, 14591, 14605, 14911, 14892, 14891, 14910 -11892 , 14607, 14594, 14592, 14606, 14912, 14893, 14892, 14911 -11893 , 14912, 14607, 14594, 14893, 14932, 14608, 14595, 14913 -11894 , 7868, 7869, 8007, 7996, 14597, 14621, 14608, 14595 -11895 , 7996, 8007, 8008, 7999, 14595, 14608, 14932, 14913 -11896 , 8004, 7875, 7872, 7871, 14600, 14611, 14622, 14599 -11897 , 8006, 8009, 7875, 8004, 14914, 14933, 14611, 14600 -11898 , 14613, 14602, 14601, 14612, 14916, 14897, 14896, 14915 -11899 , 14612, 14601, 14600, 14611, 14915, 14896, 14914, 14933 -11900 , 14614, 10248, 14602, 14613, 14917, 14898, 14897, 14916 -11901 , 10759, 10241, 10248, 14614, 14918, 14899, 14898, 14917 -11902 , 10248, 10241, 10759, 14614, 10220, 10221, 10231, 10230 -11903 , 10760, 10242, 10241, 10759, 14919, 14900, 14899, 14918 -11904 , 10761, 10243, 10242, 10760, 14920, 14901, 14900, 14919 -11905 , 10762, 10246, 10243, 10761, 14921, 14902, 14901, 14920 -11906 , 10763, 10247, 10246, 10762, 14922, 14903, 14902, 14921 -11907 , 10764, 10750, 10247, 10763, 14923, 14904, 14903, 14922 -11908 , 10765, 10752, 10750, 10764, 14924, 14905, 14904, 14923 -11909 , 10766, 10754, 10752, 10765, 14925, 14906, 14905, 14924 -11910 , 10769, 10757, 10754, 10766, 14926, 14907, 14906, 14925 -11911 , 10777, 10768, 10757, 10769, 14927, 14908, 14907, 14926 -11912 , 14616, 14604, 10768, 10777, 14928, 14909, 14908, 14927 -11913 , 14617, 14605, 14604, 14616, 14929, 14910, 14909, 14928 -11914 , 14618, 14606, 14605, 14617, 14930, 14911, 14910, 14929 -11915 , 14619, 14607, 14606, 14618, 14931, 14912, 14911, 14930 -11916 , 10908, 10965, 14469, 12789, 10670, 10915, 10918, 10676 -11917 , 14931, 14619, 14607, 14912, 14951, 14620, 14608, 14932 -11918 , 7869, 7874, 8010, 8007, 14621, 14645, 14620, 14608 -11919 , 8007, 8010, 8011, 8008, 14608, 14620, 14951, 14932 -11920 , 8009, 8012, 7876, 7875, 14933, 14952, 14646, 14611 -11921 , 14626, 14613, 14612, 14625, 14935, 14916, 14915, 14934 -11922 , 14625, 14612, 14611, 14646, 14934, 14915, 14933, 14952 -11923 , 14628, 14614, 14613, 14626, 14936, 14917, 14916, 14935 -11924 , 14629, 10759, 14614, 14628, 14937, 14918, 14917, 14936 -11925 , 14630, 10760, 10759, 14629, 14938, 14919, 14918, 14937 -11926 , 14631, 10761, 10760, 14630, 14939, 14920, 14919, 14938 -11927 , 14632, 10762, 10761, 14631, 14940, 14921, 14920, 14939 -11928 , 14633, 10763, 10762, 14632, 14941, 14922, 14921, 14940 -11929 , 14634, 10764, 10763, 14633, 14942, 14923, 14922, 14941 -11930 , 14635, 10765, 10764, 14634, 14943, 14924, 14923, 14942 -11931 , 14636, 10766, 10765, 14635, 14944, 14925, 14924, 14943 -11932 , 14637, 10769, 10766, 14636, 14945, 14926, 14925, 14944 -11933 , 14638, 10777, 10769, 14637, 14946, 14927, 14926, 14945 -11934 , 14640, 14616, 10777, 14638, 14947, 14928, 14927, 14946 -11935 , 14641, 14617, 14616, 14640, 14948, 14929, 14928, 14947 -11936 , 14642, 14618, 14617, 14641, 14949, 14930, 14929, 14948 -11937 , 12789, 14469, 14489, 12793, 10676, 10918, 10920, 10679 -11938 , 14643, 14619, 14618, 14642, 14950, 14931, 14930, 14949 -11939 , 14644, 14620, 14619, 14643, 14971, 14951, 14931, 14950 -11940 , 7874, 7878, 8013, 8010, 14645, 14666, 14644, 14620 -11941 , 8010, 8013, 8014, 8011, 14620, 14644, 14971, 14951 -11942 , 8012, 8015, 7879, 7876, 14952, 14972, 14669, 14646 -11943 , 14650, 14626, 14625, 14648, 14954, 14935, 14934, 14953 -11944 , 14648, 14625, 14646, 14669, 14953, 14934, 14952, 14972 -11945 , 14651, 14628, 14626, 14650, 14955, 14936, 14935, 14954 -11946 , 14652, 14629, 14628, 14651, 14956, 14937, 14936, 14955 -11947 , 14653, 14630, 14629, 14652, 14957, 14938, 14937, 14956 -11948 , 14630, 14631, 14939, 14938, 14653, 14654, 14958, 14957 -11949 , 14631, 14632, 14940, 14939, 14654, 14655, 14959, 14958 -11950 , 14632, 14633, 14941, 14940, 14655, 14656, 14960, 14959 -11951 , 14657, 14634, 14633, 14656, 14961, 14942, 14941, 14960 -11952 , 14658, 14635, 14634, 14657, 14963, 14943, 14942, 14961 -11953 , 14659, 14636, 14635, 14658, 14964, 14944, 14943, 14963 -11954 , 14660, 14637, 14636, 14659, 14965, 14945, 14944, 14964 -11955 , 14661, 14638, 14637, 14660, 14966, 14946, 14945, 14965 -11956 , 14662, 14640, 14638, 14661, 14967, 14947, 14946, 14966 -11957 , 14663, 14641, 14640, 14662, 14968, 14948, 14947, 14967 -11958 , 14664, 14642, 14641, 14663, 14969, 14949, 14948, 14968 -11959 , 12793, 14489, 14509, 12796, 10679, 10920, 10922, 10682 -11960 , 14665, 14643, 14642, 14664, 14970, 14950, 14949, 14969 -11961 , 14667, 14644, 14643, 14665, 14980, 14971, 14950, 14970 -11962 , 7878, 7880, 7892, 8013, 14666, 14675, 14667, 14644 -11963 , 8013, 7892, 8016, 8014, 14644, 14667, 14980, 14971 -11964 , 8015, 8017, 7882, 7879, 14972, 14982, 14676, 14669 -11965 , 14671, 14650, 14648, 14678, 14974, 14954, 14953, 14973 -11966 , 14335, 14337, 14648, 14669, 14668, 14348, 14678, 14676 -11967 , 14678, 14648, 14669, 14676, 14973, 14953, 14972, 14982 -11968 , 14650, 14651, 14955, 14954, 14671, 14681, 14975, 14974 -11969 , 14651, 14652, 14956, 14955, 14681, 14682, 14976, 14975 -11970 , 14340, 14341, 14652, 14651, 14350, 14672, 14682, 14681 -11971 , 14652, 14653, 14957, 14956, 14682, 14683, 14985, 14976 -11972 , 14341, 14342, 14653, 14652, 14672, 14673, 14683, 14682 -11973 , 7885, 7887, 8018, 7886, 14653, 14683, 14977, 14654 -11974 , 7886, 8018, 8019, 7888, 14654, 14977, 14978, 14655 -11975 , 7888, 8019, 7890, 7889, 14655, 14978, 11668, 14656 -11976 , 11631, 14658, 14657, 11629, 11670, 14963, 14961, 11702 -11977 , 14656, 14657, 14961, 14960, 11668, 11629, 11702, 14988 -11978 , 11633, 14659, 14658, 11631, 11672, 14964, 14963, 11670 -11979 , 11635, 14660, 14659, 11633, 11674, 14965, 14964, 11672 -11980 , 11637, 14661, 14660, 11635, 11676, 14966, 14965, 11674 -11981 , 11639, 14662, 14661, 11637, 11678, 14967, 14966, 11676 -11982 , 11641, 14663, 14662, 11639, 11707, 14968, 14967, 11678 -11983 , 14663, 14664, 14969, 14968, 11641, 11679, 14979, 11707 -11984 , 12796, 14509, 14530, 12799, 10682, 10922, 10964, 10770 -11985 , 14664, 14665, 14970, 14969, 11679, 14674, 14981, 14979 -11986 , 14684, 14667, 14665, 14674, 14989, 14980, 14970, 14981 -11987 , 7892, 7893, 8020, 8016, 14667, 14684, 14989, 14980 -11988 , 8017, 8021, 7894, 7882, 14982, 14973, 14678, 14676 -11989 , 8021, 8022, 7895, 7894, 14973, 14974, 14671, 14678 -11990 , 8022, 8023, 7898, 7895, 14974, 14990, 14685, 14671 -11991 , 7899, 7901, 8024, 7900, 14681, 14686, 14983, 14682 -11992 , 7900, 8024, 8025, 7887, 14682, 14983, 14984, 14683 -11993 , 8026, 8027, 8018, 7887, 14985, 14986, 14977, 14683 -11994 , 7887, 8025, 8028, 8026, 14683, 14984, 14993, 14985 -11995 , 8027, 8029, 8019, 8018, 14986, 14987, 14978, 14977 -11996 , 8029, 8030, 7890, 8019, 14987, 14988, 11668, 14978 -11997 , 8030, 8032, 8031, 7890, 14988, 11702, 11629, 11668 -11998 , 8036, 8037, 7905, 8035, 11707, 14979, 11679, 11641 -11999 , 12799, 14530, 14549, 12802, 10770, 10964, 14994, 12878 -12000 , 8037, 8039, 7906, 7905, 14979, 14981, 14674, 11679 -12001 , 8039, 8020, 7893, 7906, 14981, 14989, 14684, 14674 -12002 , 8023, 8040, 7901, 7898, 14990, 14991, 14686, 14685 -12003 , 8040, 8041, 8024, 7901, 14991, 14992, 14983, 14686 -12004 , 8041, 8028, 8025, 8024, 14992, 14993, 14984, 14983 -12005 , 12802, 14549, 14567, 12805, 12878, 14994, 14995, 12881 -12006 , 7934, 8055, 7936, 7935, 14693, 14705, 14703, 14692 -12007 , 12805, 14567, 14583, 12808, 12881, 14995, 15001, 12884 -12008 , 7937, 8056, 8055, 7934, 14694, 14704, 14705, 14693 -12009 , 7938, 8057, 8056, 7937, 14695, 14707, 14704, 14694 -12010 , 7939, 8058, 8057, 7938, 14696, 14709, 14707, 14695 -12011 , 7940, 8059, 8058, 7939, 14697, 14711, 14709, 14696 -12012 , 7941, 8060, 8059, 7940, 14698, 14713, 14711, 14697 -12013 , 8061, 8062, 8060, 7941, 14719, 14715, 14713, 14698 -12014 , 8063, 8064, 8062, 8061, 14722, 14717, 14715, 14719 -12015 , 8065, 8066, 8064, 8063, 14724, 14720, 14717, 14722 -12016 , 8067, 8068, 8066, 8065, 14996, 14725, 14720, 14724 -12017 , 7948, 8069, 7950, 7949, 14700, 14730, 14728, 14699 -12018 , 7951, 8070, 8069, 7948, 14701, 14729, 14730, 14700 -12019 , 7952, 8071, 8070, 7951, 14702, 14732, 14729, 14701 -12020 , 7936, 8072, 8071, 7952, 14703, 14734, 14732, 14702 -12021 , 8055, 8073, 8072, 7936, 14705, 14706, 14734, 14703 -12022 , 8056, 8074, 8073, 8055, 14704, 14708, 14706, 14705 -12023 , 8056, 8057, 8075, 8076, 14704, 14707, 14998, 14997 -12024 , 8076, 8077, 8074, 8056, 14997, 15012, 14708, 14704 -12025 , 8057, 8058, 8078, 8075, 14707, 14709, 14999, 14998 -12026 , 8058, 8059, 8079, 8078, 14709, 14711, 15000, 14999 -12027 , 8059, 8060, 8080, 8079, 14711, 14713, 15002, 15000 -12028 , 12808, 14583, 14593, 12811, 12884, 15001, 15026, 12887 -12029 , 8060, 8062, 8081, 8080, 14713, 14715, 15003, 15002 -12030 , 8062, 8064, 8082, 8081, 14715, 14717, 15004, 15003 -12031 , 8064, 8066, 8083, 8082, 14717, 14720, 15005, 15004 -12032 , 8066, 8068, 8084, 8083, 14720, 14725, 15007, 15005 -12033 , 8085, 8086, 8087, 8068, 15006, 14749, 14745, 14725 -12034 , 8068, 8087, 8088, 8084, 14725, 14745, 15028, 15007 -12035 , 7950, 8089, 7961, 7960, 14728, 14751, 14750, 14727 -12036 , 8069, 8090, 8089, 7950, 14730, 14731, 14751, 14728 -12037 , 8070, 8091, 8090, 8069, 14729, 14733, 14731, 14730 -12038 , 8070, 8071, 8092, 8093, 14729, 14732, 15009, 15008 -12039 , 8093, 8094, 8091, 8070, 15008, 15032, 14733, 14729 -12040 , 8071, 8072, 8095, 8092, 14732, 14734, 15010, 15009 -12041 , 8072, 8073, 8096, 8095, 14734, 14706, 15011, 15010 -12042 , 8073, 8074, 8077, 8096, 14706, 14708, 15012, 15011 -12043 , 14740, 14712, 14710, 14739, 15017, 15013, 15014, 15015 -12044 , 14712, 14709, 14707, 14710, 15013, 14999, 14998, 15014 -12045 , 14739, 14710, 14708, 14738, 15015, 15014, 15012, 15038 -12046 , 14710, 14707, 14704, 14708, 15014, 14998, 14997, 15012 -12047 , 14741, 14714, 14712, 14740, 15019, 15016, 15013, 15017 -12048 , 14714, 14711, 14709, 14712, 15016, 15000, 14999, 15013 -12049 , 14742, 14716, 14714, 14741, 15021, 15018, 15016, 15019 -12050 , 15018, 14716, 14714, 15016, 15002, 14713, 14711, 15000 -12051 , 14743, 14718, 14716, 14742, 15023, 15020, 15018, 15021 -12052 , 15020, 14718, 14716, 15018, 15003, 14715, 14713, 15002 -12053 , 14744, 14721, 14718, 14743, 15025, 15022, 15020, 15023 -12054 , 14721, 14717, 14715, 14718, 15022, 15004, 15003, 15020 -12055 , 14746, 14723, 14721, 14744, 15027, 15024, 15022, 15025 -12056 , 14723, 14720, 14717, 14721, 15024, 15005, 15004, 15022 -12057 , 12811, 14593, 14603, 12814, 12887, 15026, 15049, 12890 -12058 , 14747, 14745, 14723, 14746, 15047, 15028, 15024, 15027 -12059 , 14745, 14725, 14720, 14723, 15028, 15007, 15005, 15024 -12060 , 8087, 8086, 8097, 8088, 14745, 14749, 15029, 15028 -12061 , 8086, 8098, 8099, 8097, 14749, 14772, 15031, 15029 -12062 , 8100, 8101, 8102, 8098, 15030, 14773, 14769, 14772 -12063 , 8098, 8102, 8103, 8099, 14772, 14769, 15053, 15031 -12064 , 8089, 8104, 7968, 7961, 14751, 14752, 14775, 14750 -12065 , 8090, 8105, 8104, 8089, 14731, 14753, 14752, 14751 -12066 , 8091, 8106, 8105, 8090, 14733, 14754, 14753, 14731 -12067 , 8094, 8107, 8106, 8091, 15032, 15055, 14754, 14733 -12068 , 14756, 14736, 14735, 14755, 15037, 15033, 15034, 15035 -12069 , 14736, 14734, 14732, 14735, 15033, 15010, 15009, 15034 -12070 , 14755, 14735, 14733, 14754, 15035, 15034, 15032, 15055 -12071 , 14735, 14732, 14729, 14733, 15034, 15009, 15008, 15032 -12072 , 14757, 14737, 14736, 14756, 15039, 15036, 15033, 15037 -12073 , 14737, 14706, 14734, 14736, 15036, 15011, 15010, 15033 -12074 , 14758, 14738, 14737, 14757, 15040, 15038, 15036, 15039 -12075 , 14738, 14708, 14706, 14737, 15038, 15012, 15011, 15036 -12076 , 14759, 14739, 14738, 14758, 15041, 15015, 15038, 15040 -12077 , 14760, 14740, 14739, 14759, 15042, 15017, 15015, 15041 -12078 , 14761, 14741, 14740, 14760, 15043, 15019, 15017, 15042 -12079 , 14762, 14742, 14741, 14761, 15044, 15021, 15019, 15043 -12080 , 14763, 14743, 14742, 14762, 15045, 15023, 15021, 15044 -12081 , 14765, 14744, 14743, 14763, 15046, 15025, 15023, 15045 -12082 , 14766, 14746, 14744, 14765, 15048, 15027, 15025, 15046 -12083 , 14768, 14747, 14746, 14766, 15051, 15047, 15027, 15048 -12084 , 12814, 14603, 14615, 12817, 12890, 15049, 15067, 12893 -12085 , 14770, 14767, 14747, 14768, 15052, 15050, 15047, 15051 -12086 , 14767, 14749, 14745, 14747, 15050, 15029, 15028, 15047 -12087 , 14771, 14769, 14767, 14770, 15069, 15053, 15050, 15052 -12088 , 14769, 14772, 14749, 14767, 15053, 15031, 15029, 15050 -12089 , 8102, 8101, 8108, 8103, 14769, 14773, 15054, 15053 -12090 , 7971, 7970, 8109, 8101, 14774, 14797, 14794, 14773 -12091 , 8101, 8109, 8110, 8108, 14773, 14794, 15072, 15054 -12092 , 8104, 8111, 7975, 7968, 14752, 14777, 14800, 14775 -12093 , 8105, 8112, 8111, 8104, 14753, 14778, 14777, 14752 -12094 , 8106, 8113, 8112, 8105, 14754, 14779, 14778, 14753 -12095 , 8107, 8114, 8113, 8106, 15055, 15074, 14779, 14754 -12096 , 14781, 14756, 14755, 14780, 15057, 15037, 15035, 15056 -12097 , 14780, 14755, 14754, 14779, 15056, 15035, 15055, 15074 -12098 , 14782, 14757, 14756, 14781, 15058, 15039, 15037, 15057 -12099 , 14783, 14758, 14757, 14782, 15059, 15040, 15039, 15058 -12100 , 14784, 14759, 14758, 14783, 15060, 15041, 15040, 15059 -12101 , 14786, 14760, 14759, 14784, 15061, 15042, 15041, 15060 -12102 , 14787, 14761, 14760, 14786, 15062, 15043, 15042, 15061 -12103 , 14788, 14762, 14761, 14787, 15063, 15044, 15043, 15062 -12104 , 14789, 14763, 14762, 14788, 15064, 15045, 15044, 15063 -12105 , 14790, 14765, 14763, 14789, 15065, 15046, 15045, 15064 -12106 , 14791, 14766, 14765, 14790, 15066, 15048, 15046, 15065 -12107 , 14792, 14768, 14766, 14791, 15068, 15051, 15048, 15066 -12108 , 12817, 14615, 14627, 12820, 12893, 15067, 15084, 12896 -12109 , 14793, 14770, 14768, 14792, 15070, 15052, 15051, 15068 -12110 , 14795, 14771, 14770, 14793, 15071, 15069, 15052, 15070 -12111 , 14796, 14794, 14771, 14795, 15090, 15072, 15069, 15071 -12112 , 14794, 14773, 14769, 14771, 15072, 15054, 15053, 15069 -12113 , 7970, 8115, 8116, 8109, 14797, 14819, 14796, 14794 -12114 , 8109, 8116, 8117, 8110, 14794, 14796, 15090, 15072 -12115 , 7976, 7978, 8115, 7970, 14798, 14822, 14819, 14797 -12116 , 7975, 8118, 7982, 7981, 14800, 14825, 14824, 14799 -12117 , 8111, 8119, 8118, 7975, 14777, 14801, 14825, 14800 -12118 , 8112, 8120, 8119, 8111, 14778, 14802, 14801, 14777 -12119 , 8112, 8113, 8114, 8121, 14778, 14779, 15074, 15073 -12120 , 8121, 8122, 8120, 8112, 15073, 15093, 14802, 14778 -12121 , 14806, 14781, 14780, 14805, 15076, 15057, 15056, 15075 -12122 , 14805, 14780, 14779, 14803, 15075, 15056, 15074, 15094 -12123 , 14807, 14782, 14781, 14806, 15077, 15058, 15057, 15076 -12124 , 14808, 14783, 14782, 14807, 15078, 15059, 15058, 15077 -12125 , 14809, 14784, 14783, 14808, 15079, 15060, 15059, 15078 -12126 , 14810, 14786, 14784, 14809, 15080, 15061, 15060, 15079 -12127 , 14811, 14787, 14786, 14810, 15081, 15062, 15061, 15080 -12128 , 14812, 14788, 14787, 14811, 15082, 15063, 15062, 15081 -12129 , 14813, 14789, 14788, 14812, 15083, 15064, 15063, 15082 -12130 , 14814, 14790, 14789, 14813, 15085, 15065, 15064, 15083 -12131 , 12820, 14627, 14649, 12823, 12896, 15084, 15105, 12903 -12132 , 14815, 14791, 14790, 14814, 15086, 15066, 15065, 15085 -12133 , 14816, 14792, 14791, 14815, 15087, 15068, 15066, 15086 -12134 , 14817, 14793, 14792, 14816, 15088, 15070, 15068, 15087 -12135 , 14818, 14795, 14793, 14817, 15089, 15071, 15070, 15088 -12136 , 14820, 14796, 14795, 14818, 15112, 15090, 15071, 15089 -12137 , 8116, 8115, 8123, 8117, 14796, 14819, 15091, 15090 -12138 , 7978, 7984, 8124, 8115, 14822, 14847, 14821, 14819 -12139 , 8115, 8124, 8125, 8123, 14819, 14821, 15115, 15091 -12140 , 8118, 8126, 7987, 7982, 14825, 14826, 14849, 14824 -12141 , 8119, 8127, 8126, 8118, 14801, 14827, 14826, 14825 -12142 , 8119, 8120, 8122, 8128, 14801, 14802, 15093, 15092 -12143 , 8128, 8129, 8127, 8119, 15092, 15117, 14827, 14801 -12144 , 14830, 14805, 14803, 14829, 15096, 15075, 15094, 15095 -12145 , 14829, 14803, 14802, 14828, 15095, 15094, 15093, 15118 -12146 , 14803, 14779, 14778, 14802, 15094, 15074, 15073, 15093 -12147 , 14831, 14806, 14805, 14830, 15097, 15076, 15075, 15096 -12148 , 14832, 14807, 14806, 14831, 15098, 15077, 15076, 15097 -12149 , 14833, 14808, 14807, 14832, 15099, 15078, 15077, 15098 -12150 , 14834, 14809, 14808, 14833, 15102, 15079, 15078, 15099 -12151 , 15100, 15101, 12322, 12340, 15254, 13970, 12260, 12267 -12152 , 12322, 15101, 15100, 12340, 12418, 13115, 13143, 12425 -12153 , 14835, 14810, 14809, 14834, 15103, 15080, 15079, 15102 -12154 , 14836, 14811, 14810, 14835, 15104, 15081, 15080, 15103 -12155 , 14837, 14812, 14811, 14836, 15106, 15082, 15081, 15104 -12156 , 12823, 14649, 14670, 12826, 12903, 15105, 15125, 12906 -12157 , 14838, 14813, 14812, 14837, 15107, 15083, 15082, 15106 -12158 , 13970, 15101, 12322, 12260, 12239, 14962, 12320, 12238 -12159 , 14839, 14814, 14813, 14838, 15108, 15085, 15083, 15107 -12160 , 12320, 14962, 15101, 12322, 12410, 13081, 13115, 12418 -12161 , 14840, 14815, 14814, 14839, 15109, 15086, 15085, 15108 -12162 , 14841, 14816, 14815, 14840, 15110, 15087, 15086, 15109 -12163 , 14842, 14817, 14816, 14841, 15111, 15088, 15087, 15110 -12164 , 14843, 14818, 14817, 14842, 15113, 15089, 15088, 15111 -12165 , 14844, 14820, 14818, 14843, 15114, 15112, 15089, 15113 -12166 , 14846, 14821, 14820, 14844, 15136, 15115, 15112, 15114 -12167 , 14821, 14819, 14796, 14820, 15115, 15091, 15090, 15112 -12168 , 8124, 7984, 8130, 8125, 14821, 14847, 15116, 15115 -12169 , 7988, 7990, 8131, 7984, 14848, 14871, 14869, 14847 -12170 , 7984, 8131, 8132, 8130, 14847, 14869, 15139, 15116 -12171 , 8126, 8133, 7992, 7987, 14826, 14850, 14873, 14849 -12172 , 8127, 8134, 8133, 8126, 14827, 14851, 14850, 14826 -12173 , 8129, 8135, 8134, 8127, 15117, 15140, 14851, 14827 -12174 , 14853, 14829, 14828, 14852, 15120, 15095, 15118, 15119 -12175 , 14828, 14802, 14801, 14827, 15118, 15093, 15092, 15117 -12176 , 14852, 14828, 14827, 14851, 15119, 15118, 15117, 15140 -12177 , 14854, 14830, 14829, 14853, 15121, 15096, 15095, 15120 -12178 , 14855, 14831, 14830, 14854, 15122, 15097, 15096, 15121 -12179 , 14856, 14832, 14831, 14855, 15123, 15098, 15097, 15122 -12180 , 14857, 14833, 14832, 14856, 15124, 15099, 15098, 15123 -12181 , 14858, 14834, 14833, 14857, 15126, 15102, 15099, 15124 -12182 , 12826, 14670, 14677, 12829, 12906, 15125, 15142, 12909 -12183 , 14859, 14835, 14834, 14858, 15127, 15103, 15102, 15126 -12184 , 14860, 14836, 14835, 14859, 15128, 15104, 15103, 15127 -12185 , 14861, 14837, 14836, 14860, 15129, 15106, 15104, 15128 -12186 , 14862, 14838, 14837, 14861, 15130, 15107, 15106, 15129 -12187 , 14863, 14839, 14838, 14862, 15131, 15108, 15107, 15130 -12188 , 14864, 14840, 14839, 14863, 15132, 15109, 15108, 15131 -12189 , 14865, 14841, 14840, 14864, 15133, 15110, 15109, 15132 -12190 , 14866, 14842, 14841, 14865, 15134, 15111, 15110, 15133 -12191 , 14867, 14843, 14842, 14866, 15135, 15113, 15111, 15134 -12192 , 14868, 14844, 14843, 14867, 15137, 15114, 15113, 15135 -12193 , 14870, 14846, 14844, 14868, 15138, 15136, 15114, 15137 -12194 , 14872, 14869, 14846, 14870, 15158, 15139, 15136, 15138 -12195 , 14869, 14847, 14821, 14846, 15139, 15116, 15115, 15136 -12196 , 7990, 7994, 7998, 8131, 14871, 14894, 14872, 14869 -12197 , 8131, 7998, 8136, 8132, 14869, 14872, 15158, 15139 -12198 , 8133, 8000, 7995, 7992, 14850, 14874, 14895, 14873 -12199 , 8134, 8002, 8000, 8133, 14851, 14875, 14874, 14850 -12200 , 8137, 8005, 8002, 8134, 14852, 14876, 14875, 14851 -12201 , 8135, 8138, 8137, 8134, 15140, 15119, 14852, 14851 -12202 , 8139, 8140, 8005, 8137, 14853, 14877, 14876, 14852 -12203 , 8138, 8141, 8139, 8137, 15119, 15120, 14853, 14852 -12204 , 8141, 8142, 8140, 8139, 15120, 15160, 14877, 14853 -12205 , 14879, 14855, 14854, 14878, 15143, 15122, 15121, 15141 -12206 , 14878, 14854, 14853, 14877, 15141, 15121, 15120, 15160 -12207 , 12829, 14677, 14687, 12832, 12909, 15142, 15159, 12912 -12208 , 14880, 14856, 14855, 14879, 15144, 15123, 15122, 15143 -12209 , 14881, 14857, 14856, 14880, 15145, 15124, 15123, 15144 -12210 , 14882, 14858, 14857, 14881, 15146, 15126, 15124, 15145 -12211 , 14883, 14859, 14858, 14882, 15147, 15127, 15126, 15146 -12212 , 14884, 14860, 14859, 14883, 15148, 15128, 15127, 15147 -12213 , 14885, 14861, 14860, 14884, 15149, 15129, 15128, 15148 -12214 , 14886, 14862, 14861, 14885, 15150, 15130, 15129, 15149 -12215 , 14887, 14863, 14862, 14886, 15151, 15131, 15130, 15150 -12216 , 14888, 14864, 14863, 14887, 15152, 15132, 15131, 15151 -12217 , 14889, 14865, 14864, 14888, 15153, 15133, 15132, 15152 -12218 , 14890, 14866, 14865, 14889, 15154, 15134, 15133, 15153 -12219 , 14891, 14867, 14866, 14890, 15155, 15135, 15134, 15154 -12220 , 14892, 14868, 14867, 14891, 15156, 15137, 15135, 15155 -12221 , 14893, 14870, 14868, 14892, 15157, 15138, 15137, 15156 -12222 , 14913, 14872, 14870, 14893, 15177, 15158, 15138, 15157 -12223 , 7998, 7999, 8143, 8136, 14872, 14913, 15177, 15158 -12224 , 12832, 14687, 14689, 12837, 12912, 15159, 15178, 12915 -12225 , 8140, 8144, 8006, 8005, 14877, 14896, 14914, 14876 -12226 , 8142, 8145, 8144, 8140, 15160, 15179, 14896, 14877 -12227 , 14898, 14879, 14878, 14897, 15162, 15143, 15141, 15161 -12228 , 14897, 14878, 14877, 14896, 15161, 15141, 15160, 15179 -12229 , 14899, 14880, 14879, 14898, 15163, 15144, 15143, 15162 -12230 , 14900, 14881, 14880, 14899, 15164, 15145, 15144, 15163 -12231 , 14901, 14882, 14881, 14900, 15165, 15146, 15145, 15164 -12232 , 14902, 14883, 14882, 14901, 15166, 15147, 15146, 15165 -12233 , 14903, 14884, 14883, 14902, 15167, 15148, 15147, 15166 -12234 , 14904, 14885, 14884, 14903, 15168, 15149, 15148, 15167 -12235 , 14905, 14886, 14885, 14904, 15169, 15150, 15149, 15168 -12236 , 14906, 14887, 14886, 14905, 15170, 15151, 15150, 15169 -12237 , 14907, 14888, 14887, 14906, 15171, 15152, 15151, 15170 -12238 , 14908, 14889, 14888, 14907, 15172, 15153, 15152, 15171 -12239 , 14909, 14890, 14889, 14908, 15173, 15154, 15153, 15172 -12240 , 14910, 14891, 14890, 14909, 15174, 15155, 15154, 15173 -12241 , 14911, 14892, 14891, 14910, 15175, 15156, 15155, 15174 -12242 , 14912, 14893, 14892, 14911, 15176, 15157, 15156, 15175 -12243 , 14932, 14913, 14893, 14912, 15195, 15177, 15157, 15176 -12244 , 7999, 8008, 8146, 8143, 14913, 14932, 15195, 15177 -12245 , 8144, 8147, 8009, 8006, 14896, 14915, 14933, 14914 -12246 , 12837, 14689, 14690, 12839, 12915, 15178, 15198, 12917 -12247 , 8145, 8148, 8147, 8144, 15179, 15197, 14915, 14896 -12248 , 14917, 14898, 14897, 14916, 15181, 15162, 15161, 15180 -12249 , 14916, 14897, 14896, 14915, 15180, 15161, 15179, 15197 -12250 , 14918, 14899, 14898, 14917, 15182, 15163, 15162, 15181 -12251 , 14919, 14900, 14899, 14918, 15183, 15164, 15163, 15182 -12252 , 14920, 14901, 14900, 14919, 15184, 15165, 15164, 15183 -12253 , 14921, 14902, 14901, 14920, 15185, 15166, 15165, 15184 -12254 , 14922, 14903, 14902, 14921, 15186, 15167, 15166, 15185 -12255 , 14923, 14904, 14903, 14922, 15187, 15168, 15167, 15186 -12256 , 14924, 14905, 14904, 14923, 15188, 15169, 15168, 15187 -12257 , 14925, 14906, 14905, 14924, 15189, 15170, 15169, 15188 -12258 , 14926, 14907, 14906, 14925, 15190, 15171, 15170, 15189 -12259 , 14927, 14908, 14907, 14926, 15191, 15172, 15171, 15190 -12260 , 14928, 14909, 14908, 14927, 15192, 15173, 15172, 15191 -12261 , 14929, 14910, 14909, 14928, 15193, 15174, 15173, 15192 -12262 , 14930, 14911, 14910, 14929, 15194, 15175, 15174, 15193 -12263 , 14931, 14912, 14911, 14930, 15196, 15176, 15175, 15194 -12264 , 14951, 14932, 14912, 14931, 15215, 15195, 15176, 15196 -12265 , 8008, 8011, 8149, 8146, 14932, 14951, 15215, 15195 -12266 , 8147, 8150, 8012, 8009, 14915, 14934, 14952, 14933 -12267 , 8148, 8151, 8150, 8147, 15197, 15216, 14934, 14915 -12268 , 12917, 15198, 14690, 12839, 12982, 15494, 15199, 12920 -12269 , 14936, 14917, 14916, 14935, 15201, 15181, 15180, 15200 -12270 , 14935, 14916, 14915, 14934, 15200, 15180, 15197, 15216 -12271 , 14937, 14918, 14917, 14936, 15202, 15182, 15181, 15201 -12272 , 14938, 14919, 14918, 14937, 15203, 15183, 15182, 15202 -12273 , 14939, 14920, 14919, 14938, 15204, 15184, 15183, 15203 -12274 , 14940, 14921, 14920, 14939, 15205, 15185, 15184, 15204 -12275 , 14941, 14922, 14921, 14940, 15206, 15186, 15185, 15205 -12276 , 14942, 14923, 14922, 14941, 15207, 15187, 15186, 15206 -12277 , 14943, 14924, 14923, 14942, 15208, 15188, 15187, 15207 -12278 , 14944, 14925, 14924, 14943, 15209, 15189, 15188, 15208 -12279 , 14945, 14926, 14925, 14944, 15210, 15190, 15189, 15209 -12280 , 14946, 14927, 14926, 14945, 15211, 15191, 15190, 15210 -12281 , 14947, 14928, 14927, 14946, 15212, 15192, 15191, 15211 -12282 , 14948, 14929, 14928, 14947, 15213, 15193, 15192, 15212 -12283 , 14949, 14930, 14929, 14948, 15214, 15194, 15193, 15213 -12284 , 14950, 14931, 14930, 14949, 15232, 15196, 15194, 15214 -12285 , 8011, 8014, 8152, 8153, 14951, 14971, 14950, 14931 -12286 , 8154, 8149, 8011, 8153, 15196, 15215, 14951, 14931 -12287 , 8153, 8152, 8155, 8154, 14931, 14950, 15232, 15196 -12288 , 8150, 8156, 8015, 8012, 14934, 14953, 14972, 14952 -12289 , 8151, 8157, 8156, 8150, 15216, 15233, 14953, 14934 -12290 , 14955, 14936, 14935, 14954, 15218, 15201, 15200, 15217 -12291 , 14954, 14935, 14934, 14953, 15217, 15200, 15216, 15233 -12292 , 7944, 8158, 7185, 7177, 15199, 15235, 12923, 12920 -12293 , 14956, 14937, 14936, 14955, 15219, 15202, 15201, 15218 -12294 , 14957, 14938, 14937, 14956, 15220, 15203, 15202, 15219 -12295 , 14958, 14939, 14938, 14957, 15221, 15204, 15203, 15220 -12296 , 14959, 14940, 14939, 14958, 15222, 15205, 15204, 15221 -12297 , 14960, 14941, 14940, 14959, 15223, 15206, 15205, 15222 -12298 , 14961, 14942, 14941, 14960, 15224, 15207, 15206, 15223 -12299 , 14963, 14943, 14942, 14961, 15225, 15208, 15207, 15224 -12300 , 14964, 14944, 14943, 14963, 15226, 15209, 15208, 15225 -12301 , 14965, 14945, 14944, 14964, 15227, 15210, 15209, 15226 -12302 , 14966, 14946, 14945, 14965, 15228, 15211, 15210, 15227 -12303 , 14967, 14947, 14946, 14966, 15229, 15212, 15211, 15228 -12304 , 14968, 14948, 14947, 14967, 15230, 15213, 15212, 15229 -12305 , 14969, 14949, 14948, 14968, 15231, 15214, 15213, 15230 -12306 , 14970, 14950, 14949, 14969, 15244, 15232, 15214, 15231 -12307 , 8014, 8016, 8159, 8152, 14971, 14980, 14970, 14950 -12308 , 8152, 8159, 8160, 8155, 14950, 14970, 15244, 15232 -12309 , 8156, 8021, 8017, 8015, 14953, 14973, 14982, 14972 -12310 , 8161, 8022, 8021, 8156, 14954, 14974, 14973, 14953 -12311 , 8157, 8162, 8161, 8156, 15233, 15217, 14954, 14953 -12312 , 8162, 8163, 8022, 8161, 15217, 15246, 14974, 14954 -12313 , 14976, 14956, 14955, 14975, 15236, 15219, 15218, 15234 -12314 , 14975, 14955, 14954, 14974, 15234, 15218, 15217, 15246 -12315 , 8158, 8164, 7187, 7185, 15235, 15497, 12985, 12923 -12316 , 14985, 14957, 14956, 14976, 15237, 15220, 15219, 15236 -12317 , 14653, 14654, 14958, 14957, 14683, 14977, 14986, 14985 -12318 , 14986, 14958, 14957, 14985, 15238, 15221, 15220, 15237 -12319 , 14654, 14655, 14959, 14958, 14977, 14978, 14987, 14986 -12320 , 14987, 14959, 14958, 14986, 15239, 15222, 15221, 15238 -12321 , 14959, 14960, 15223, 15222, 14987, 14988, 15240, 15239 -12322 , 14655, 14656, 14960, 14959, 14978, 11668, 14988, 14987 -12323 , 14960, 14961, 15224, 15223, 14988, 11702, 15241, 15240 -12324 , 14961, 14963, 15225, 15224, 11702, 11670, 11718, 15241 -12325 , 11672, 14964, 14963, 11670, 11704, 15226, 15225, 11718 -12326 , 11674, 14965, 14964, 11672, 11706, 15227, 15226, 11704 -12327 , 11676, 14966, 14965, 11674, 11719, 15228, 15227, 11706 -12328 , 14966, 14967, 15229, 15228, 11676, 11678, 15242, 11719 -12329 , 14967, 14968, 15230, 15229, 11678, 11707, 15243, 15242 -12330 , 14979, 14969, 14968, 11707, 15245, 15231, 15230, 15243 -12331 , 14981, 14970, 14969, 14979, 15249, 15244, 15231, 15245 -12332 , 8016, 8020, 8039, 8159, 14980, 14989, 14981, 14970 -12333 , 8159, 8039, 8165, 8160, 14970, 14981, 15249, 15244 -12334 , 8166, 8040, 8023, 8022, 14975, 14991, 14990, 14974 -12335 , 8163, 8167, 8166, 8022, 15246, 15234, 14975, 14974 -12336 , 8167, 8168, 8040, 8166, 15234, 15250, 14991, 14975 -12337 , 14681, 14682, 14976, 14975, 14686, 14983, 14992, 14991 -12338 , 14682, 14683, 14985, 14976, 14983, 14984, 14993, 14992 -12339 , 14993, 14985, 14976, 14992, 15251, 15237, 15236, 15247 -12340 , 14992, 14976, 14975, 14991, 15247, 15236, 15234, 15250 -12341 , 8169, 7963, 7962, 7180, 15248, 15252, 12850, 12926 -12342 , 15248, 12926, 7180, 8169, 15499, 12991, 7192, 8170 -12343 , 8171, 8172, 8027, 8026, 15237, 15238, 14986, 14985 -12344 , 8026, 8028, 8173, 8171, 14985, 14993, 15251, 15237 -12345 , 8172, 8174, 8029, 8027, 15238, 15239, 14987, 14986 -12346 , 8174, 8175, 8030, 8029, 15239, 15240, 14988, 14987 -12347 , 8175, 8176, 8032, 8030, 15240, 15241, 11702, 14988 -12348 , 8176, 8179, 8177, 8032, 15241, 11718, 11670, 11702 -12349 , 8185, 8186, 8181, 8184, 11719, 15242, 11678, 11676 -12350 , 8186, 8188, 8036, 8181, 15242, 15243, 11707, 11678 -12351 , 8188, 8189, 8037, 8036, 15243, 15245, 14979, 11707 -12352 , 8189, 8165, 8039, 8037, 15245, 15249, 14981, 14979 -12353 , 8168, 8190, 8041, 8040, 15250, 15247, 14992, 14991 -12354 , 8190, 8173, 8028, 8041, 15247, 15251, 14993, 14992 -12355 , 15253, 15100, 12340, 12333, 15400, 15254, 12267, 12270 -12356 , 12340, 15100, 15253, 12333, 12425, 13143, 13201, 12339 -12357 , 12854, 14764, 14785, 12858, 12931, 15255, 15261, 12934 -12358 , 12850, 15252, 14764, 12854, 12998, 15500, 15255, 12931 -12359 , 8075, 8204, 8077, 8076, 14998, 15014, 15012, 14997 -12360 , 8078, 8205, 8204, 8075, 14999, 15013, 15014, 14998 -12361 , 8079, 8206, 8205, 8078, 15000, 15016, 15013, 14999 -12362 , 8079, 8080, 8207, 8208, 15000, 15002, 15257, 15256 -12363 , 8208, 8209, 8206, 8079, 15256, 15263, 15016, 15000 -12364 , 8080, 8081, 8210, 8207, 15002, 15003, 15258, 15257 -12365 , 8082, 8211, 8212, 8081, 15004, 15022, 15020, 15003 -12366 , 8081, 8212, 8213, 8210, 15003, 15020, 15266, 15258 -12367 , 8083, 8214, 8211, 8082, 15005, 15024, 15022, 15004 -12368 , 8084, 8088, 8214, 8083, 15007, 15028, 15024, 15005 -12369 , 8092, 8215, 8094, 8093, 15009, 15034, 15032, 15008 -12370 , 8095, 8216, 8215, 8092, 15010, 15033, 15034, 15009 -12371 , 8096, 8217, 8216, 8095, 15011, 15036, 15033, 15010 -12372 , 8077, 8218, 8217, 8096, 15012, 15038, 15036, 15011 -12373 , 8077, 8204, 8219, 8220, 15012, 15014, 15260, 15259 -12374 , 8220, 8221, 8218, 8077, 15259, 15269, 15038, 15012 -12375 , 8204, 8205, 8222, 8219, 15014, 15013, 15262, 15260 -12376 , 12858, 14785, 14804, 12861, 12934, 15261, 15282, 12938 -12377 , 8205, 8206, 8209, 8222, 15013, 15016, 15263, 15262 -12378 , 15021, 15018, 15016, 15019, 15264, 15265, 15263, 15273 -12379 , 15023, 15020, 15018, 15021, 15276, 15266, 15265, 15264 -12380 , 15018, 15002, 15000, 15016, 15265, 15257, 15256, 15263 -12381 , 15020, 15003, 15002, 15018, 15266, 15258, 15257, 15265 -12382 , 8212, 8211, 8223, 8213, 15020, 15022, 15267, 15266 -12383 , 8211, 8214, 8224, 8223, 15022, 15024, 15268, 15267 -12384 , 8088, 8225, 8226, 8214, 15028, 15047, 15027, 15024 -12385 , 8214, 8226, 8227, 8224, 15024, 15027, 15281, 15268 -12386 , 8097, 8228, 8225, 8088, 15029, 15050, 15047, 15028 -12387 , 8099, 8103, 8228, 8097, 15031, 15053, 15050, 15029 -12388 , 8215, 8229, 8107, 8094, 15034, 15035, 15055, 15032 -12389 , 8216, 8230, 8229, 8215, 15033, 15037, 15035, 15034 -12390 , 8217, 8231, 8230, 8216, 15036, 15039, 15037, 15033 -12391 , 8218, 8232, 8231, 8217, 15038, 15040, 15039, 15036 -12392 , 8221, 8233, 8232, 8218, 15269, 15284, 15040, 15038 -12393 , 15042, 15017, 15015, 15041, 15274, 15270, 15271, 15272 -12394 , 15017, 15013, 15014, 15015, 15270, 15262, 15260, 15271 -12395 , 15041, 15015, 15038, 15040, 15272, 15271, 15269, 15284 -12396 , 15015, 15014, 15012, 15038, 15271, 15260, 15259, 15269 -12397 , 15043, 15019, 15017, 15042, 15275, 15273, 15270, 15274 -12398 , 15019, 15016, 15013, 15017, 15273, 15263, 15262, 15270 -12399 , 15044, 15021, 15019, 15043, 15277, 15264, 15273, 15275 -12400 , 15045, 15023, 15021, 15044, 15279, 15276, 15264, 15277 -12401 , 15046, 15025, 15023, 15045, 15280, 15278, 15276, 15279 -12402 , 15025, 15022, 15020, 15023, 15278, 15267, 15266, 15276 -12403 , 15048, 15027, 15025, 15046, 15290, 15281, 15278, 15280 -12404 , 15027, 15024, 15022, 15025, 15281, 15268, 15267, 15278 -12405 , 12861, 14804, 14823, 12864, 12938, 15282, 15296, 12941 -12406 , 8226, 8225, 8234, 8227, 15027, 15047, 15283, 15281 -12407 , 8228, 8235, 8236, 8225, 15050, 15052, 15051, 15047 -12408 , 8225, 8236, 8237, 8234, 15047, 15051, 15293, 15283 -12409 , 8103, 8238, 8235, 8228, 15053, 15069, 15052, 15050 -12410 , 8108, 8110, 8238, 8103, 15054, 15072, 15069, 15053 -12411 , 8229, 8239, 8114, 8107, 15035, 15056, 15074, 15055 -12412 , 8230, 8240, 8239, 8229, 15037, 15057, 15056, 15035 -12413 , 8231, 8241, 8240, 8230, 15039, 15058, 15057, 15037 -12414 , 8232, 8242, 8241, 8231, 15040, 15059, 15058, 15039 -12415 , 8233, 8243, 8242, 8232, 15284, 15297, 15059, 15040 -12416 , 15061, 15042, 15041, 15060, 15286, 15274, 15272, 15285 -12417 , 15060, 15041, 15040, 15059, 15285, 15272, 15284, 15297 -12418 , 15062, 15043, 15042, 15061, 15287, 15275, 15274, 15286 -12419 , 15063, 15044, 15043, 15062, 15288, 15277, 15275, 15287 -12420 , 15064, 15045, 15044, 15063, 15289, 15279, 15277, 15288 -12421 , 15065, 15046, 15045, 15064, 15291, 15280, 15279, 15289 -12422 , 15066, 15048, 15046, 15065, 15292, 15290, 15280, 15291 -12423 , 15068, 15051, 15048, 15066, 15304, 15293, 15290, 15292 -12424 , 15051, 15047, 15027, 15048, 15293, 15283, 15281, 15290 -12425 , 8236, 8235, 8244, 8237, 15051, 15052, 15294, 15293 -12426 , 8235, 8238, 8245, 8244, 15052, 15069, 15295, 15294 -12427 , 8110, 8117, 8246, 8238, 15072, 15090, 15071, 15069 -12428 , 8238, 8246, 8247, 8245, 15069, 15071, 15309, 15295 -12429 , 12864, 14823, 14845, 12867, 12941, 15296, 15311, 12944 -12430 , 8114, 8248, 8122, 8121, 15074, 15094, 15093, 15073 -12431 , 8239, 8249, 8248, 8114, 15056, 15075, 15094, 15074 -12432 , 8240, 8250, 8249, 8239, 15057, 15076, 15075, 15056 -12433 , 8241, 8251, 8250, 8240, 15058, 15077, 15076, 15057 -12434 , 8242, 8252, 8251, 8241, 15059, 15078, 15077, 15058 -12435 , 8243, 8253, 8252, 8242, 15297, 15314, 15078, 15059 -12436 , 15080, 15061, 15060, 15079, 15299, 15286, 15285, 15298 -12437 , 15079, 15060, 15059, 15078, 15298, 15285, 15297, 15314 -12438 , 15081, 15062, 15061, 15080, 15300, 15287, 15286, 15299 -12439 , 15082, 15063, 15062, 15081, 15301, 15288, 15287, 15300 -12440 , 15083, 15064, 15063, 15082, 15302, 15289, 15288, 15301 -12441 , 15085, 15065, 15064, 15083, 15303, 15291, 15289, 15302 -12442 , 15086, 15066, 15065, 15085, 15305, 15292, 15291, 15303 -12443 , 15087, 15068, 15066, 15086, 15307, 15304, 15292, 15305 -12444 , 15088, 15070, 15068, 15087, 15308, 15306, 15304, 15307 -12445 , 15070, 15052, 15051, 15068, 15306, 15294, 15293, 15304 -12446 , 15089, 15071, 15070, 15088, 15323, 15309, 15306, 15308 -12447 , 15071, 15069, 15052, 15070, 15309, 15295, 15294, 15306 -12448 , 8246, 8117, 8254, 8247, 15071, 15090, 15310, 15309 -12449 , 8123, 8125, 8255, 8117, 15091, 15115, 15112, 15090 -12450 , 8117, 8255, 8256, 8254, 15090, 15112, 15326, 15310 -12451 , 8122, 8257, 8129, 8128, 15093, 15118, 15117, 15092 -12452 , 14845, 10909, 10910, 12867, 15311, 10930, 10912, 12944 -12453 , 8248, 8258, 8257, 8122, 15094, 15095, 15118, 15093 -12454 , 8249, 8259, 8258, 8248, 15075, 15096, 15095, 15094 -12455 , 8250, 8260, 8259, 8249, 15076, 15097, 15096, 15075 -12456 , 8250, 8251, 8261, 8262, 15076, 15077, 15313, 15312 -12457 , 8262, 8263, 8260, 8250, 15312, 15328, 15097, 15076 -12458 , 8251, 8252, 8253, 8261, 15077, 15078, 15314, 15313 -12459 , 15103, 15080, 15079, 15102, 15316, 15299, 15298, 15315 -12460 , 15102, 15079, 15078, 15099, 15315, 15298, 15314, 15329 -12461 , 15104, 15081, 15080, 15103, 15317, 15300, 15299, 15316 -12462 , 15106, 15082, 15081, 15104, 15318, 15301, 15300, 15317 -12463 , 15107, 15083, 15082, 15106, 15319, 15302, 15301, 15318 -12464 , 15108, 15085, 15083, 15107, 15320, 15303, 15302, 15319 -12465 , 15109, 15086, 15085, 15108, 15321, 15305, 15303, 15320 -12466 , 15110, 15087, 15086, 15109, 15322, 15307, 15305, 15321 -12467 , 15111, 15088, 15087, 15110, 15324, 15308, 15307, 15322 -12468 , 15113, 15089, 15088, 15111, 15325, 15323, 15308, 15324 -12469 , 15114, 15112, 15089, 15113, 15342, 15326, 15323, 15325 -12470 , 15112, 15090, 15071, 15089, 15326, 15310, 15309, 15323 -12471 , 8255, 8125, 8264, 8256, 15112, 15115, 15327, 15326 -12472 , 8130, 8132, 8265, 8125, 15116, 15139, 15136, 15115 -12473 , 8125, 8265, 8266, 8264, 15115, 15136, 15345, 15327 -12474 , 8257, 8138, 8135, 8129, 15118, 15119, 15140, 15117 -12475 , 8258, 8141, 8138, 8257, 15095, 15120, 15119, 15118 -12476 , 12340, 12267, 12260, 12322, 12265, 12257, 12258, 12259 -12477 , 8259, 8267, 8141, 8258, 15096, 15121, 15120, 15095 -12478 , 8260, 8268, 8267, 8259, 15097, 15122, 15121, 15096 -12479 , 8263, 8269, 8268, 8260, 15328, 15346, 15122, 15097 -12480 , 15124, 15099, 15098, 15123, 15332, 15329, 15330, 15331 -12481 , 15099, 15078, 15077, 15098, 15329, 15314, 15313, 15330 -12482 , 15098, 15077, 15076, 15097, 15330, 15313, 15312, 15328 -12483 , 15123, 15098, 15097, 15122, 15331, 15330, 15328, 15346 -12484 , 15126, 15102, 15099, 15124, 15333, 15315, 15329, 15332 -12485 , 15127, 15103, 15102, 15126, 15334, 15316, 15315, 15333 -12486 , 15128, 15104, 15103, 15127, 15335, 15317, 15316, 15334 -12487 , 15129, 15106, 15104, 15128, 15336, 15318, 15317, 15335 -12488 , 15130, 15107, 15106, 15129, 15337, 15319, 15318, 15336 -12489 , 15131, 15108, 15107, 15130, 15338, 15320, 15319, 15337 -12490 , 15132, 15109, 15108, 15131, 15339, 15321, 15320, 15338 -12491 , 15133, 15110, 15109, 15132, 15340, 15322, 15321, 15339 -12492 , 15134, 15111, 15110, 15133, 15341, 15324, 15322, 15340 -12493 , 15135, 15113, 15111, 15134, 15343, 15325, 15324, 15341 -12494 , 15137, 15114, 15113, 15135, 15344, 15342, 15325, 15343 -12495 , 15138, 15136, 15114, 15137, 15358, 15345, 15342, 15344 -12496 , 15136, 15115, 15112, 15114, 15345, 15327, 15326, 15342 -12497 , 8132, 8136, 8270, 8265, 15139, 15158, 15138, 15136 -12498 , 8265, 8270, 8271, 8266, 15136, 15138, 15358, 15345 -12499 , 8267, 8272, 8142, 8141, 15121, 15141, 15160, 15120 -12500 , 8268, 8273, 8272, 8267, 15122, 15143, 15141, 15121 -12501 , 8274, 8275, 8273, 8268, 15123, 15144, 15143, 15122 -12502 , 8269, 8276, 8274, 8268, 15346, 15331, 15123, 15122 -12503 , 8276, 8277, 8275, 8274, 15331, 15360, 15144, 15123 -12504 , 15146, 15126, 15124, 15145, 15348, 15333, 15332, 15347 -12505 , 15145, 15124, 15123, 15144, 15347, 15332, 15331, 15360 -12506 , 15147, 15127, 15126, 15146, 15349, 15334, 15333, 15348 -12507 , 15148, 15128, 15127, 15147, 15350, 15335, 15334, 15349 -12508 , 15149, 15129, 15128, 15148, 15351, 15336, 15335, 15350 -12509 , 15150, 15130, 15129, 15149, 15352, 15337, 15336, 15351 -12510 , 15151, 15131, 15130, 15150, 15353, 15338, 15337, 15352 -12511 , 15152, 15132, 15131, 15151, 15354, 15339, 15338, 15353 -12512 , 15153, 15133, 15132, 15152, 15355, 15340, 15339, 15354 -12513 , 15154, 15134, 15133, 15153, 15356, 15341, 15340, 15355 -12514 , 15155, 15135, 15134, 15154, 15357, 15343, 15341, 15356 -12515 , 15156, 15137, 15135, 15155, 15359, 15344, 15343, 15357 -12516 , 15157, 15138, 15137, 15156, 15372, 15358, 15344, 15359 -12517 , 8136, 8143, 8278, 8270, 15158, 15177, 15157, 15138 -12518 , 8270, 8278, 8279, 8271, 15138, 15157, 15372, 15358 -12519 , 8272, 8280, 8145, 8142, 15141, 15161, 15179, 15160 -12520 , 8273, 8281, 8280, 8272, 15143, 15162, 15161, 15141 -12521 , 8275, 8282, 8281, 8273, 15144, 15163, 15162, 15143 -12522 , 8277, 8283, 8282, 8275, 15360, 15373, 15163, 15144 -12523 , 15165, 15146, 15145, 15164, 15362, 15348, 15347, 15361 -12524 , 15164, 15145, 15144, 15163, 15361, 15347, 15360, 15373 -12525 , 15166, 15147, 15146, 15165, 15363, 15349, 15348, 15362 -12526 , 15167, 15148, 15147, 15166, 15364, 15350, 15349, 15363 -12527 , 15168, 15149, 15148, 15167, 15365, 15351, 15350, 15364 -12528 , 15169, 15150, 15149, 15168, 15366, 15352, 15351, 15365 -12529 , 15170, 15151, 15150, 15169, 15367, 15353, 15352, 15366 -12530 , 15171, 15152, 15151, 15170, 15368, 15354, 15353, 15367 -12531 , 15172, 15153, 15152, 15171, 15369, 15355, 15354, 15368 -12532 , 15173, 15154, 15153, 15172, 15370, 15356, 15355, 15369 -12533 , 15174, 15155, 15154, 15173, 15371, 15357, 15356, 15370 -12534 , 15175, 15156, 15155, 15174, 15384, 15359, 15357, 15371 -12535 , 8278, 8284, 8285, 8286, 15157, 15176, 15175, 15156 -12536 , 8287, 8279, 8278, 8286, 15359, 15372, 15157, 15156 -12537 , 8286, 8285, 8288, 8287, 15156, 15175, 15384, 15359 -12538 , 8143, 8146, 8284, 8278, 15177, 15195, 15176, 15157 -12539 , 8280, 8289, 8148, 8145, 15161, 15180, 15197, 15179 -12540 , 8281, 8290, 8289, 8280, 15162, 15181, 15180, 15161 -12541 , 8282, 8291, 8290, 8281, 15163, 15182, 15181, 15162 -12542 , 8292, 8293, 8291, 8282, 15164, 15183, 15182, 15163 -12543 , 8283, 8294, 8292, 8282, 15373, 15361, 15164, 15163 -12544 , 8294, 8295, 8293, 8292, 15361, 15385, 15183, 15164 -12545 , 15185, 15166, 15165, 15184, 15375, 15363, 15362, 15374 -12546 , 15184, 15165, 15164, 15183, 15374, 15362, 15361, 15385 -12547 , 15186, 15167, 15166, 15185, 15376, 15364, 15363, 15375 -12548 , 15187, 15168, 15167, 15186, 15377, 15365, 15364, 15376 -12549 , 15188, 15169, 15168, 15187, 15378, 15366, 15365, 15377 -12550 , 15189, 15170, 15169, 15188, 15379, 15367, 15366, 15378 -12551 , 15190, 15171, 15170, 15189, 15380, 15368, 15367, 15379 -12552 , 15191, 15172, 15171, 15190, 15381, 15369, 15368, 15380 -12553 , 15192, 15173, 15172, 15191, 15382, 15370, 15369, 15381 -12554 , 15193, 15174, 15173, 15192, 15383, 15371, 15370, 15382 -12555 , 15194, 15175, 15174, 15193, 15396, 15384, 15371, 15383 -12556 , 8284, 8154, 8296, 8285, 15176, 15196, 15194, 15175 -12557 , 8285, 8296, 8297, 8288, 15175, 15194, 15396, 15384 -12558 , 8146, 8149, 8154, 8284, 15195, 15215, 15196, 15176 -12559 , 8289, 8298, 8151, 8148, 15180, 15200, 15216, 15197 -12560 , 8290, 8299, 8298, 8289, 15181, 15201, 15200, 15180 -12561 , 8291, 8300, 8299, 8290, 15182, 15202, 15201, 15181 -12562 , 8293, 8301, 8300, 8291, 15183, 15203, 15202, 15182 -12563 , 8295, 8302, 8301, 8293, 15385, 15397, 15203, 15183 -12564 , 15205, 15185, 15184, 15204, 15387, 15375, 15374, 15386 -12565 , 15204, 15184, 15183, 15203, 15386, 15374, 15385, 15397 -12566 , 15206, 15186, 15185, 15205, 15388, 15376, 15375, 15387 -12567 , 15207, 15187, 15186, 15206, 15389, 15377, 15376, 15388 -12568 , 15208, 15188, 15187, 15207, 15390, 15378, 15377, 15389 -12569 , 15209, 15189, 15188, 15208, 15391, 15379, 15378, 15390 -12570 , 15210, 15190, 15189, 15209, 15392, 15380, 15379, 15391 -12571 , 15211, 15191, 15190, 15210, 15393, 15381, 15380, 15392 -12572 , 15212, 15192, 15191, 15211, 15394, 15382, 15381, 15393 -12573 , 15213, 15193, 15192, 15212, 15395, 15383, 15382, 15394 -12574 , 15214, 15194, 15193, 15213, 15409, 15396, 15383, 15395 -12575 , 8154, 8155, 8303, 8296, 15196, 15232, 15214, 15194 -12576 , 8296, 8303, 8304, 8297, 15194, 15214, 15409, 15396 -12577 , 8298, 8162, 8157, 8151, 15200, 15217, 15233, 15216 -12578 , 8299, 8305, 8162, 8298, 15201, 15218, 15217, 15200 -12579 , 8300, 8306, 8305, 8299, 15202, 15219, 15218, 15201 -12580 , 8301, 8307, 8306, 8300, 15203, 15220, 15219, 15202 -12581 , 8302, 8308, 8307, 8301, 15397, 15411, 15220, 15203 -12582 , 15222, 15205, 15204, 15221, 15401, 15387, 15386, 15398 -12583 , 15221, 15204, 15203, 15220, 15398, 15386, 15397, 15411 -12584 , 15223, 15206, 15205, 15222, 15402, 15388, 15387, 15401 -12585 , 15399, 15253, 12333, 12334, 15482, 15400, 12270, 12273 -12586 , 12333, 15253, 15399, 12334, 12339, 13201, 13225, 12346 -12587 , 15224, 15207, 15206, 15223, 15403, 15389, 15388, 15402 -12588 , 15225, 15208, 15207, 15224, 15404, 15390, 15389, 15403 -12589 , 15226, 15209, 15208, 15225, 15405, 15391, 15390, 15404 -12590 , 15227, 15210, 15209, 15226, 15406, 15392, 15391, 15405 -12591 , 15228, 15211, 15210, 15227, 15407, 15393, 15392, 15406 -12592 , 15229, 15212, 15211, 15228, 15408, 15394, 15393, 15407 -12593 , 15230, 15213, 15212, 15229, 15410, 15395, 15394, 15408 -12594 , 15231, 15214, 15213, 15230, 15419, 15409, 15395, 15410 -12595 , 8155, 8160, 8309, 8303, 15232, 15244, 15231, 15214 -12596 , 8303, 8309, 8310, 8304, 15214, 15231, 15419, 15409 -12597 , 8305, 8167, 8163, 8162, 15218, 15234, 15246, 15217 -12598 , 8306, 8311, 8167, 8305, 15219, 15236, 15234, 15218 -12599 , 8307, 8171, 8311, 8306, 15220, 15237, 15236, 15219 -12600 , 8312, 8172, 8171, 8307, 15221, 15238, 15237, 15220 -12601 , 8308, 8313, 8312, 8307, 15411, 15398, 15221, 15220 -12602 , 8314, 8174, 8172, 8312, 15222, 15239, 15238, 15221 -12603 , 8313, 8315, 8314, 8312, 15398, 15401, 15222, 15221 -12604 , 8315, 8316, 8174, 8314, 15401, 15420, 15239, 15222 -12605 , 15241, 15224, 15223, 15240, 15413, 15403, 15402, 15412 -12606 , 15240, 15223, 15222, 15239, 15412, 15402, 15401, 15420 -12607 , 11718, 15225, 15224, 15241, 15414, 15404, 15403, 15413 -12608 , 11704, 15226, 15225, 11718, 15415, 15405, 15404, 15414 -12609 , 11706, 15227, 15226, 11704, 15416, 15406, 15405, 15415 -12610 , 11719, 15228, 15227, 11706, 15417, 15407, 15406, 15416 -12611 , 15242, 15229, 15228, 11719, 15418, 15408, 15407, 15417 -12612 , 15243, 15230, 15229, 15242, 15421, 15410, 15408, 15418 -12613 , 8309, 8189, 8188, 8317, 15231, 15245, 15243, 15230 -12614 , 8318, 8310, 8309, 8317, 15410, 15419, 15231, 15230 -12615 , 8317, 8188, 8319, 8318, 15230, 15243, 15421, 15410 -12616 , 8160, 8165, 8189, 8309, 15244, 15249, 15245, 15231 -12617 , 8311, 8190, 8168, 8167, 15236, 15247, 15250, 15234 -12618 , 8171, 8173, 8190, 8311, 15237, 15251, 15247, 15236 -12619 , 8316, 8320, 8175, 8174, 15420, 15412, 15240, 15239 -12620 , 8320, 8321, 8176, 8175, 15412, 15413, 15241, 15240 -12621 , 8321, 8322, 8179, 8176, 15413, 15414, 11718, 15241 -12622 , 8322, 8325, 8323, 8179, 15414, 15415, 11704, 11718 -12623 , 8325, 8328, 8326, 8323, 15415, 15416, 11706, 11704 -12624 , 8328, 8329, 8185, 8326, 15416, 15417, 11719, 11706 -12625 , 8329, 8330, 8186, 8185, 15417, 15418, 15242, 11719 -12626 , 8330, 8319, 8188, 8186, 15418, 15421, 15243, 15242 -12627 , 8207, 8333, 8209, 8208, 15257, 15265, 15263, 15256 -12628 , 8210, 8213, 8333, 8207, 15258, 15266, 15265, 15257 -12629 , 10964, 14994, 12878, 10770, 10934, 10936, 10694, 10691 -12630 , 8219, 8334, 8221, 8220, 15260, 15271, 15269, 15259 -12631 , 8222, 8335, 8334, 8219, 15262, 15270, 15271, 15260 -12632 , 8209, 8336, 8335, 8222, 15263, 15273, 15270, 15262 -12633 , 8333, 8337, 8336, 8209, 15265, 15264, 15273, 15263 -12634 , 8213, 8338, 8337, 8333, 15266, 15276, 15264, 15265 -12635 , 8223, 8339, 8338, 8213, 15267, 15278, 15276, 15266 -12636 , 8224, 8227, 8339, 8223, 15268, 15281, 15278, 15267 -12637 , 8334, 8340, 8233, 8221, 15271, 15272, 15284, 15269 -12638 , 8335, 8341, 8340, 8334, 15270, 15274, 15272, 15271 -12639 , 8336, 8342, 8341, 8335, 15273, 15275, 15274, 15270 -12640 , 8337, 8343, 8342, 8336, 15264, 15277, 15275, 15273 -12641 , 8338, 8344, 8343, 8337, 15276, 15279, 15277, 15264 -12642 , 8339, 8345, 8344, 8338, 15278, 15280, 15279, 15276 -12643 , 8227, 8346, 8345, 8339, 15281, 15290, 15280, 15278 -12644 , 8234, 8237, 8346, 8227, 15283, 15293, 15290, 15281 -12645 , 8340, 8347, 8243, 8233, 15272, 15285, 15297, 15284 -12646 , 8341, 8348, 8347, 8340, 15274, 15286, 15285, 15272 -12647 , 14994, 14995, 12881, 12878, 10936, 10938, 10773, 10694 -12648 , 8342, 8349, 8348, 8341, 15275, 15287, 15286, 15274 -12649 , 8343, 8350, 8349, 8342, 15277, 15288, 15287, 15275 -12650 , 8344, 8351, 8350, 8343, 15279, 15289, 15288, 15277 -12651 , 8344, 8345, 8352, 8353, 15279, 15280, 15423, 15422 -12652 , 8353, 8354, 8351, 8344, 15422, 15428, 15289, 15279 -12653 , 8345, 8346, 8355, 8352, 15280, 15290, 15424, 15423 -12654 , 8346, 8237, 8356, 8355, 15290, 15293, 15425, 15424 -12655 , 8244, 8357, 8358, 8237, 15294, 15306, 15304, 15293 -12656 , 8237, 8358, 8359, 8356, 15293, 15304, 15433, 15425 -12657 , 8245, 8247, 8357, 8244, 15295, 15309, 15306, 15294 -12658 , 8347, 8360, 8253, 8243, 15285, 15298, 15314, 15297 -12659 , 8348, 8361, 8360, 8347, 15286, 15299, 15298, 15285 -12660 , 8349, 8362, 8361, 8348, 15287, 15300, 15299, 15286 -12661 , 8349, 8350, 8363, 8364, 15287, 15288, 15427, 15426 -12662 , 8364, 8365, 8362, 8349, 15426, 15435, 15300, 15287 -12663 , 8350, 8351, 8354, 8363, 15288, 15289, 15428, 15427 -12664 , 15305, 15292, 15291, 15303, 15432, 15429, 15430, 15431 -12665 , 15292, 15290, 15280, 15291, 15429, 15424, 15423, 15430 -12666 , 15303, 15291, 15289, 15302, 15431, 15430, 15428, 15436 -12667 , 15291, 15280, 15279, 15289, 15430, 15423, 15422, 15428 -12668 , 15307, 15304, 15292, 15305, 15441, 15433, 15429, 15432 -12669 , 15304, 15293, 15290, 15292, 15433, 15425, 15424, 15429 -12670 , 8358, 8357, 8366, 8359, 15304, 15306, 15434, 15433 -12671 , 8247, 8367, 8368, 8357, 15309, 15323, 15308, 15306 -12672 , 8357, 8368, 8369, 8366, 15306, 15308, 15444, 15434 -12673 , 8254, 8256, 8367, 8247, 15310, 15326, 15323, 15309 -12674 , 14995, 15001, 12884, 12881, 10938, 10962, 10963, 10773 -12675 , 8261, 8370, 8263, 8262, 15313, 15330, 15328, 15312 -12676 , 8253, 8371, 8370, 8261, 15314, 15329, 15330, 15313 -12677 , 8360, 8372, 8371, 8253, 15298, 15315, 15329, 15314 -12678 , 8361, 8373, 8372, 8360, 15299, 15316, 15315, 15298 -12679 , 8362, 8374, 8373, 8361, 15300, 15317, 15316, 15299 -12680 , 8365, 8375, 8374, 8362, 15435, 15445, 15317, 15300 -12681 , 15302, 15289, 15288, 15301, 15436, 15428, 15427, 15437 -12682 , 15319, 15302, 15301, 15318, 15439, 15436, 15437, 15438 -12683 , 15301, 15288, 15287, 15300, 15437, 15427, 15426, 15435 -12684 , 15318, 15301, 15300, 15317, 15438, 15437, 15435, 15445 -12685 , 15320, 15303, 15302, 15319, 15440, 15431, 15436, 15439 -12686 , 15321, 15305, 15303, 15320, 15442, 15432, 15431, 15440 -12687 , 15322, 15307, 15305, 15321, 15443, 15441, 15432, 15442 -12688 , 15324, 15308, 15307, 15322, 15448, 15444, 15441, 15443 -12689 , 15308, 15306, 15304, 15307, 15444, 15434, 15433, 15441 -12690 , 8367, 8376, 8377, 8368, 15323, 15325, 15324, 15308 -12691 , 8368, 8377, 8378, 8369, 15308, 15324, 15448, 15444 -12692 , 8256, 8379, 8376, 8367, 15326, 15342, 15325, 15323 -12693 , 8264, 8266, 8379, 8256, 15327, 15345, 15342, 15326 -12694 , 8370, 8276, 8269, 8263, 15330, 15331, 15346, 15328 -12695 , 8371, 8380, 8276, 8370, 15329, 15332, 15331, 15330 -12696 , 8372, 8381, 8380, 8371, 15315, 15333, 15332, 15329 -12697 , 8373, 8382, 8381, 8372, 15316, 15334, 15333, 15315 -12698 , 15001, 15026, 12887, 12884, 10962, 15452, 12953, 10963 -12699 , 8374, 8383, 8382, 8373, 15317, 15335, 15334, 15316 -12700 , 8384, 8385, 8383, 8374, 15318, 15336, 15335, 15317 -12701 , 8375, 8386, 8384, 8374, 15445, 15438, 15318, 15317 -12702 , 8387, 8388, 8385, 8384, 15319, 15337, 15336, 15318 -12703 , 8386, 8389, 8387, 8384, 15438, 15439, 15319, 15318 -12704 , 8389, 8390, 8388, 8387, 15439, 15450, 15337, 15319 -12705 , 15339, 15321, 15320, 15338, 15447, 15442, 15440, 15446 -12706 , 15338, 15320, 15319, 15337, 15446, 15440, 15439, 15450 -12707 , 15340, 15322, 15321, 15339, 15449, 15443, 15442, 15447 -12708 , 15341, 15324, 15322, 15340, 15454, 15448, 15443, 15449 -12709 , 8376, 8391, 8392, 8377, 15325, 15343, 15341, 15324 -12710 , 8377, 8392, 8393, 8378, 15324, 15341, 15454, 15448 -12711 , 8379, 8394, 8391, 8376, 15342, 15344, 15343, 15325 -12712 , 8266, 8271, 8394, 8379, 15345, 15358, 15344, 15342 -12713 , 8380, 8395, 8277, 8276, 15332, 15347, 15360, 15331 -12714 , 8381, 8396, 8395, 8380, 15333, 15348, 15347, 15332 -12715 , 8382, 8397, 8396, 8381, 15334, 15349, 15348, 15333 -12716 , 8383, 8398, 8397, 8382, 15335, 15350, 15349, 15334 -12717 , 8385, 8399, 8398, 8383, 15336, 15351, 15350, 15335 -12718 , 8388, 8400, 8399, 8385, 15337, 15352, 15351, 15336 -12719 , 8390, 8401, 8400, 8388, 15450, 15457, 15352, 15337 -12720 , 15354, 15339, 15338, 15353, 15453, 15447, 15446, 15451 -12721 , 15353, 15338, 15337, 15352, 15451, 15446, 15450, 15457 -12722 , 15026, 15049, 12890, 12887, 15452, 15462, 12956, 12953 -12723 , 15355, 15340, 15339, 15354, 15460, 15449, 15447, 15453 -12724 , 8392, 8402, 8403, 8404, 15341, 15356, 15355, 15340 -12725 , 8405, 8393, 8392, 8404, 15449, 15454, 15341, 15340 -12726 , 8404, 8403, 8406, 8405, 15340, 15355, 15460, 15449 -12727 , 8391, 8407, 8402, 8392, 15343, 15357, 15356, 15341 -12728 , 8394, 8287, 8407, 8391, 15344, 15359, 15357, 15343 -12729 , 8271, 8279, 8287, 8394, 15358, 15372, 15359, 15344 -12730 , 8395, 8294, 8283, 8277, 15347, 15361, 15373, 15360 -12731 , 8396, 8408, 8294, 8395, 15348, 15362, 15361, 15347 -12732 , 8397, 8409, 8408, 8396, 15349, 15363, 15362, 15348 -12733 , 8398, 8410, 8409, 8397, 15350, 15364, 15363, 15349 -12734 , 8398, 8399, 8411, 8412, 15350, 15351, 15456, 15455 -12735 , 8412, 8413, 8410, 8398, 15455, 15463, 15364, 15350 -12736 , 8399, 8400, 8401, 8411, 15351, 15352, 15457, 15456 -12737 , 15368, 15354, 15353, 15367, 15459, 15453, 15451, 15458 -12738 , 15367, 15353, 15352, 15366, 15458, 15451, 15457, 15464 -12739 , 15369, 15355, 15354, 15368, 15469, 15460, 15453, 15459 -12740 , 8403, 8402, 8414, 8406, 15355, 15356, 15461, 15460 -12741 , 8407, 8415, 8416, 8402, 15357, 15371, 15370, 15356 -12742 , 8402, 8416, 8417, 8414, 15356, 15370, 15471, 15461 -12743 , 8287, 8288, 8415, 8407, 15359, 15384, 15371, 15357 -12744 , 15049, 15067, 12893, 12890, 15462, 15477, 12959, 12956 -12745 , 8408, 8418, 8295, 8294, 15362, 15374, 15385, 15361 -12746 , 8409, 8419, 8418, 8408, 15363, 15375, 15374, 15362 -12747 , 8410, 8420, 8419, 8409, 15364, 15376, 15375, 15363 -12748 , 8413, 8421, 8420, 8410, 15463, 15473, 15376, 15364 -12749 , 15378, 15366, 15365, 15377, 15467, 15464, 15465, 15466 -12750 , 15366, 15352, 15351, 15365, 15464, 15457, 15456, 15465 -12751 , 15377, 15365, 15364, 15376, 15466, 15465, 15463, 15473 -12752 , 15365, 15351, 15350, 15364, 15465, 15456, 15455, 15463 -12753 , 15379, 15367, 15366, 15378, 15468, 15458, 15464, 15467 -12754 , 15380, 15368, 15367, 15379, 15470, 15459, 15458, 15468 -12755 , 15381, 15369, 15368, 15380, 15472, 15469, 15459, 15470 -12756 , 15370, 15356, 15355, 15369, 15471, 15461, 15460, 15469 -12757 , 15382, 15370, 15369, 15381, 15478, 15471, 15469, 15472 -12758 , 8415, 8422, 8423, 8416, 15371, 15383, 15382, 15370 -12759 , 8416, 8423, 8424, 8417, 15370, 15382, 15478, 15471 -12760 , 8288, 8297, 8422, 8415, 15384, 15396, 15383, 15371 -12761 , 8418, 8425, 8302, 8295, 15374, 15386, 15397, 15385 -12762 , 8419, 8426, 8425, 8418, 15375, 15387, 15386, 15374 -12763 , 8420, 8427, 8426, 8419, 15376, 15388, 15387, 15375 -12764 , 8421, 8428, 8427, 8420, 15473, 15479, 15388, 15376 -12765 , 15390, 15378, 15377, 15389, 15475, 15467, 15466, 15474 -12766 , 15389, 15377, 15376, 15388, 15474, 15466, 15473, 15479 -12767 , 15391, 15379, 15378, 15390, 15476, 15468, 15467, 15475 -12768 , 15392, 15380, 15379, 15391, 15480, 15470, 15468, 15476 -12769 , 15067, 15084, 12896, 12893, 15477, 15481, 12962, 12959 -12770 , 8429, 8430, 8431, 8432, 15381, 15393, 15392, 15380 -12771 , 8433, 8434, 8429, 8432, 15470, 15472, 15381, 15380 -12772 , 8432, 8431, 8435, 8433, 15380, 15392, 15480, 15470 -12773 , 8423, 8436, 8430, 8429, 15382, 15394, 15393, 15381 -12774 , 8434, 8424, 8423, 8429, 15472, 15478, 15382, 15381 -12775 , 8422, 8437, 8436, 8423, 15383, 15395, 15394, 15382 -12776 , 8297, 8304, 8437, 8422, 15396, 15409, 15395, 15383 -12777 , 8425, 8313, 8308, 8302, 15386, 15398, 15411, 15397 -12778 , 8426, 8315, 8313, 8425, 15387, 15401, 15398, 15386 -12779 , 8427, 8438, 8315, 8426, 15388, 15402, 15401, 15387 -12780 , 8439, 8440, 8438, 8427, 15389, 15403, 15402, 15388 -12781 , 8428, 8441, 8439, 8427, 15479, 15474, 15389, 15388 -12782 , 8442, 8443, 8440, 8439, 15390, 15404, 15403, 15389 -12783 , 8441, 8444, 8442, 8439, 15474, 15475, 15390, 15389 -12784 , 8445, 8446, 8443, 8442, 15391, 15405, 15404, 15390 -12785 , 8444, 8447, 8445, 8442, 15475, 15476, 15391, 15390 -12786 , 8431, 8448, 8446, 8445, 15392, 15406, 15405, 15391 -12787 , 8447, 8435, 8431, 8445, 15476, 15480, 15392, 15391 -12788 , 8430, 8449, 8448, 8431, 15393, 15407, 15406, 15392 -12789 , 8436, 8450, 8449, 8430, 15394, 15408, 15407, 15393 -12790 , 8437, 8318, 8450, 8436, 15395, 15410, 15408, 15394 -12791 , 8304, 8310, 8318, 8437, 15409, 15419, 15410, 15395 -12792 , 8438, 8320, 8316, 8315, 15402, 15412, 15420, 15401 -12793 , 8440, 8321, 8320, 8438, 15403, 15413, 15412, 15402 -12794 , 15084, 15105, 12903, 12896, 15481, 15484, 12965, 12962 -12795 , 8443, 8322, 8321, 8440, 15404, 15414, 15413, 15403 -12796 , 12334, 15399, 15482, 12273, 12343, 15483, 12261, 12262 -12797 , 12334, 15399, 15483, 12343, 12346, 13225, 13251, 12352 -12798 , 8446, 8325, 8322, 8443, 15405, 15415, 15414, 15404 -12799 , 8448, 8328, 8325, 8446, 15406, 15416, 15415, 15405 -12800 , 8449, 8329, 8328, 8448, 15407, 15417, 15416, 15406 -12801 , 8450, 8330, 8329, 8449, 15408, 15418, 15417, 15407 -12802 , 8318, 8319, 8330, 8450, 15410, 15421, 15418, 15408 -12803 , 12267, 15254, 7607, 7038, 12270, 15400, 8473, 7049 -12804 , 8352, 8451, 8354, 8353, 15423, 15430, 15428, 15422 -12805 , 8355, 8452, 8451, 8352, 15424, 15429, 15430, 15423 -12806 , 8356, 8359, 8452, 8355, 15425, 15433, 15429, 15424 -12807 , 15105, 15125, 12906, 12903, 15484, 15485, 12968, 12965 -12808 , 8363, 8453, 8365, 8364, 15427, 15437, 15435, 15426 -12809 , 8354, 8454, 8453, 8363, 15428, 15436, 15437, 15427 -12810 , 8451, 8455, 8454, 8354, 15430, 15431, 15436, 15428 -12811 , 8452, 8456, 8455, 8451, 15429, 15432, 15431, 15430 -12812 , 8359, 8457, 8456, 8452, 15433, 15441, 15432, 15429 -12813 , 8366, 8369, 8457, 8359, 15434, 15444, 15441, 15433 -12814 , 8453, 8386, 8375, 8365, 15437, 15438, 15445, 15435 -12815 , 8454, 8389, 8386, 8453, 15436, 15439, 15438, 15437 -12816 , 8455, 8458, 8389, 8454, 15431, 15440, 15439, 15436 -12817 , 8456, 8459, 8458, 8455, 15432, 15442, 15440, 15431 -12818 , 8457, 8460, 8459, 8456, 15441, 15443, 15442, 15432 -12819 , 8369, 8378, 8460, 8457, 15444, 15448, 15443, 15441 -12820 , 8458, 8461, 8390, 8389, 15440, 15446, 15450, 15439 -12821 , 8459, 8462, 8461, 8458, 15442, 15447, 15446, 15440 -12822 , 8460, 8405, 8462, 8459, 15443, 15449, 15447, 15442 -12823 , 15125, 15142, 12909, 12906, 15485, 15486, 12971, 12968 -12824 , 8378, 8393, 8405, 8460, 15448, 15454, 15449, 15443 -12825 , 8461, 8463, 8401, 8390, 15446, 15451, 15457, 15450 -12826 , 8462, 8464, 8463, 8461, 15447, 15453, 15451, 15446 -12827 , 8405, 8406, 8464, 8462, 15449, 15460, 15453, 15447 -12828 , 8411, 8465, 8413, 8412, 15456, 15465, 15463, 15455 -12829 , 8401, 8466, 8465, 8411, 15457, 15464, 15465, 15456 -12830 , 8463, 8467, 8466, 8401, 15451, 15458, 15464, 15457 -12831 , 8464, 8468, 8467, 8463, 15453, 15459, 15458, 15451 -12832 , 8406, 8469, 8468, 8464, 15460, 15469, 15459, 15453 -12833 , 8414, 8417, 8469, 8406, 15461, 15471, 15469, 15460 -12834 , 8465, 8470, 8421, 8413, 15465, 15466, 15473, 15463 -12835 , 8466, 8471, 8470, 8465, 15464, 15467, 15466, 15465 -12836 , 8467, 8472, 8471, 8466, 15458, 15468, 15467, 15464 -12837 , 8468, 8433, 8472, 8467, 15459, 15470, 15468, 15458 -12838 , 8469, 8434, 8433, 8468, 15469, 15472, 15470, 15459 -12839 , 8417, 8424, 8434, 8469, 15471, 15478, 15472, 15469 -12840 , 15142, 15159, 12912, 12909, 15486, 15487, 12974, 12971 -12841 , 8470, 8441, 8428, 8421, 15466, 15474, 15479, 15473 -12842 , 8471, 8444, 8441, 8470, 15467, 15475, 15474, 15466 -12843 , 8472, 8447, 8444, 8471, 15468, 15476, 15475, 15467 -12844 , 8433, 8435, 8447, 8472, 15470, 15480, 15476, 15468 -12845 , 15159, 15178, 12915, 12912, 15487, 15492, 12977, 12974 -12846 , 12273, 15482, 15400, 12270, 7045, 7044, 8473, 7049 -12847 , 12261, 12935, 12278, 12262, 15483, 15488, 12349, 12343 -12848 , 12935, 13285, 12282, 12278, 15488, 15489, 12356, 12349 -12849 , 13285, 13437, 12285, 12282, 15489, 15490, 12362, 12356 -12850 , 13437, 13613, 12288, 12285, 15490, 15491, 12276, 12362 -12851 , 13613, 13683, 12291, 12288, 15491, 12246, 12247, 12276 -12852 , 13683, 13897, 12298, 12291, 12246, 12295, 12253, 12247 -12853 , 13897, 14007, 12301, 12298, 12295, 12383, 12327, 12253 -12854 , 15178, 15198, 12917, 12915, 15492, 15495, 12980, 12977 -12855 , 14007, 14173, 12305, 12301, 12383, 12454, 12379, 12327 -12856 , 14173, 14322, 12307, 12305, 12454, 12525, 12386, 12379 -12857 , 12386, 12307, 12305, 12379, 12306, 12302, 12299, 12303 -12858 , 14477, 14639, 12315, 12311, 12950, 12990, 12414, 12401 -12859 , 12414, 12315, 12311, 12401, 12313, 12308, 12309, 12310 -12860 , 14639, 14776, 12318, 12315, 12990, 13020, 12409, 12414 -12861 , 14776, 14962, 12320, 12318, 13020, 13081, 12410, 12409 -12862 , 12599, 12525, 12386, 12390, 8486, 7739, 7083, 7102 -12863 , 15493, 12599, 12390, 12392, 7158, 8486, 7102, 7106 -12864 , 15198, 15494, 12982, 12917, 15495, 15498, 13044, 12980 -12865 , 12900, 15496, 12397, 12399, 8494, 7181, 7113, 7114 -12866 , 12950, 12900, 12399, 12401, 7842, 8494, 7114, 7090 -12867 , 12982, 15494, 15199, 12920, 12985, 15497, 15235, 12923 -12868 , 15494, 15497, 12985, 12982, 15498, 15501, 13050, 13044 -12869 , 12985, 12923, 12920, 12982, 12922, 12921, 12840, 12918 -12870 , 14287, 14296, 12756, 12754, 14726, 14748, 12849, 12845 -12871 , 12985, 15497, 8164, 7187, 13050, 15501, 8474, 7198 -12872 , 12926, 15248, 15252, 12850, 12991, 15499, 15500, 12998 -12873 , 12998, 12850, 12926, 12991, 12927, 12847, 12843, 12924 -12874 , 13054, 12991, 15499, 15502, 7202, 7192, 8170, 8475 -12875 , 15499, 12991, 13054, 15502, 15500, 12998, 13058, 15505 -12876 , 13050, 15501, 15503, 13116, 13044, 15498, 15507, 13049 -12877 , 15503, 15501, 13050, 13116, 8476, 8474, 7198, 7205 -12878 , 13119, 13054, 15502, 15504, 7208, 7202, 8475, 8477 -12879 , 15502, 13054, 13119, 15504, 15505, 13058, 13060, 15509 -12880 , 13116, 15503, 15506, 13175, 13049, 15507, 15511, 13111 -12881 , 15506, 15503, 13116, 13175, 8478, 8476, 7205, 7211 -12882 , 15504, 13119, 13176, 15508, 15509, 13060, 13179, 15512 -12883 , 13176, 13119, 15504, 15508, 7216, 7208, 8477, 8479 -12884 , 13179, 13060, 13119, 13176, 13120, 13056, 13052, 13117 -12885 , 13175, 15506, 15510, 13233, 13111, 15511, 15517, 13173 -12886 , 15510, 15506, 13175, 13233, 8487, 8478, 7211, 7220 -12887 , 13179, 13176, 15508, 15512, 7221, 7216, 8479, 8488 -12888 , 15512, 13179, 13235, 15513, 15514, 13124, 13182, 15518 -12889 , 13235, 13179, 15512, 15513, 7224, 7221, 8488, 8489 -12890 , 13179, 15512, 15509, 13060, 13124, 15514, 15558, 13063 -12891 , 10252, 10929, 10928, 10925, 7229, 7230, 8490, 8484 -12892 , 10929, 10928, 15515, 13246, 10952, 10951, 15526, 13204 -12893 , 15515, 10928, 10929, 13246, 8491, 8490, 7230, 7231 -12894 , 10252, 10929, 10135, 10096, 10093, 10771, 10087, 10088 -12895 , 15500, 15255, 12931, 12998, 15505, 15529, 12997, 13058 -12896 , 12343, 15483, 15488, 12349, 12352, 13251, 13277, 12358 -12897 , 13233, 15510, 15516, 13269, 13173, 15517, 15528, 13231 -12898 , 15516, 15510, 13233, 13269, 8495, 8487, 7220, 7241 -12899 , 13182, 13235, 15513, 15518, 7244, 7224, 8489, 8496 -12900 , 15518, 13182, 13185, 15519, 15514, 13124, 13127, 15521 -12901 , 13185, 13182, 15518, 15519, 7247, 7244, 8496, 8497 -12902 , 15519, 13185, 13189, 15520, 15521, 13127, 13130, 15523 -12903 , 13189, 13185, 15519, 15520, 7250, 7247, 8497, 8498 -12904 , 15520, 13189, 13270, 15522, 15524, 13192, 13272, 15530 -12905 , 13270, 13189, 15520, 15522, 7255, 7250, 8498, 8499 -12906 , 13189, 15520, 15523, 13130, 13192, 15524, 15571, 13133 -12907 , 13272, 13192, 13189, 13270, 13237, 13187, 13184, 13236 -12908 , 13246, 15515, 15525, 13274, 13204, 15526, 15534, 13247 -12909 , 15525, 15515, 13246, 13274, 8500, 8491, 7231, 7261 -12910 , 15516, 15527, 13289, 13269, 15528, 15536, 13266, 13231 -12911 , 13289, 15527, 15516, 13269, 7272, 8503, 8495, 7241 -12912 , 15255, 15261, 12934, 12931, 15529, 15539, 13001, 12997 -12913 , 13272, 13270, 15522, 15530, 7273, 7255, 8499, 8504 -12914 , 15530, 13272, 13240, 15531, 15524, 13192, 13195, 15533 -12915 , 13240, 13272, 15530, 15531, 7276, 7273, 8504, 8505 -12916 , 15531, 13240, 13244, 15532, 15533, 13195, 13198, 15535 -12917 , 13244, 13240, 15531, 15532, 7279, 7276, 8505, 8506 -12918 , 15532, 13244, 13247, 15534, 15535, 13198, 13204, 15526 -12919 , 13247, 13244, 15532, 15534, 7282, 7279, 8506, 8507 -12920 , 13274, 13247, 15534, 15525, 7261, 7282, 8507, 8500 -12921 , 13266, 15536, 15527, 13289, 8511, 8512, 8503, 7272 -12922 , 15536, 15537, 13290, 13266, 15538, 15541, 13288, 13264 -12923 , 13290, 15537, 15536, 13266, 7305, 8513, 8512, 8511 -12924 , 15528, 15536, 13266, 13231, 15586, 15538, 13264, 13228 -12925 , 13266, 13289, 13305, 13290, 8511, 7272, 7295, 7305 -12926 , 15261, 15282, 12938, 12934, 15539, 15546, 13004, 13001 -12927 , 15537, 15540, 13312, 13290, 15541, 15543, 13303, 13288 -12928 , 13312, 15540, 15537, 13290, 7308, 8516, 8513, 7305 -12929 , 15540, 15542, 13318, 13312, 15543, 15544, 13313, 13303 -12930 , 13318, 15542, 15540, 13312, 7316, 8518, 8516, 7308 -12931 , 13313, 15544, 15542, 13318, 7324, 8520, 8518, 7316 -12932 , 15544, 15545, 13321, 13313, 11777, 11720, 11722, 11394 -12933 , 13321, 15545, 15544, 13313, 7327, 8521, 8520, 7324 -12934 , 15543, 15544, 13313, 13303, 11772, 11777, 11394, 11773 -12935 , 15282, 15296, 12941, 12938, 15546, 15547, 13007, 13004 -12936 , 11722, 11720, 15545, 13321, 7336, 8523, 8521, 7327 -12937 , 15296, 15311, 12944, 12941, 15547, 15548, 13010, 13007 -12938 , 15311, 10930, 10912, 12944, 15548, 10940, 10941, 13010 -12939 , 12349, 15488, 15489, 12356, 12358, 13277, 13296, 12364 -12940 , 10962, 15452, 12953, 10963, 10945, 10960, 10948, 10891 -12941 , 15452, 15462, 12956, 12953, 10960, 15549, 13017, 10948 -12942 , 15462, 15477, 12959, 12956, 15549, 15550, 13023, 13017 -12943 , 15477, 15481, 12962, 12959, 15550, 15551, 13026, 13023 -12944 , 12356, 15489, 15490, 12362, 12364, 13296, 13308, 12368 -12945 , 15481, 15484, 12965, 12962, 15551, 15552, 13029, 13026 -12946 , 15484, 15485, 12968, 12965, 15552, 15553, 13032, 13029 -12947 , 15485, 15486, 12971, 12968, 15553, 15554, 13035, 13032 -12948 , 15486, 15487, 12974, 12971, 15554, 15555, 13038, 13035 -12949 , 15487, 15492, 12977, 12974, 15555, 15556, 13041, 13038 -12950 , 15492, 15495, 12980, 12977, 15556, 15557, 13046, 13041 -12951 , 15495, 15498, 13044, 12980, 15557, 15507, 13049, 13046 -12952 , 12362, 15490, 15491, 12276, 12368, 13308, 12248, 12249 -12953 , 15505, 15529, 12997, 13058, 15509, 15558, 13063, 13060 -12954 , 15529, 15539, 13001, 12997, 15558, 15559, 13066, 13063 -12955 , 15539, 15546, 13004, 13001, 15559, 15560, 13069, 13066 -12956 , 15546, 15547, 13007, 13004, 15560, 15561, 13072, 13069 -12957 , 15547, 15548, 13010, 13007, 15561, 15562, 13075, 13072 -12958 , 15548, 10940, 10941, 13010, 15562, 10949, 10950, 13075 -12959 , 14350, 14349, 14679, 14680, 14681, 14671, 14685, 14686 -12960 , 14686, 14681, 14671, 14685, 14991, 14975, 14974, 14990 -12961 , 10960, 15549, 13017, 10948, 10953, 10959, 10956, 10894 -12962 , 15549, 15550, 13023, 13017, 10959, 15563, 13087, 10956 -12963 , 15550, 15551, 13026, 13023, 15563, 15564, 13090, 13087 -12964 , 15551, 15552, 13029, 13026, 15564, 15565, 13093, 13090 -12965 , 15552, 15553, 13032, 13029, 15565, 15566, 13096, 13093 -12966 , 15553, 15554, 13035, 13032, 15566, 15567, 13099, 13096 -12967 , 15554, 15555, 13038, 13035, 15567, 15568, 13102, 13099 -12968 , 15555, 15556, 13041, 13038, 15568, 15569, 13105, 13102 -12969 , 15556, 15557, 13046, 13041, 15569, 15570, 13108, 13105 -12970 , 15557, 15507, 13049, 13046, 15570, 15511, 13111, 13108 -12971 , 15558, 15559, 13066, 13063, 15514, 15521, 13127, 13124 -12972 , 15559, 15560, 13069, 13066, 15521, 15523, 13130, 13127 -12973 , 15560, 15561, 13072, 13069, 15523, 15571, 13133, 13130 -12974 , 15561, 15562, 13075, 13072, 15571, 15572, 13136, 13133 -12975 , 15562, 10949, 10950, 13075, 15572, 15573, 13139, 13136 -12976 , 13139, 15573, 10949, 10950, 10952, 10951, 10942, 10943 -12977 , 10959, 15563, 13087, 10956, 10958, 15574, 13149, 10957 -12978 , 15563, 15564, 13090, 13087, 15574, 15575, 13152, 13149 -12979 , 15564, 15565, 13093, 13090, 15575, 15576, 13155, 13152 -12980 , 15565, 15566, 13096, 13093, 15576, 15577, 13158, 13155 -12981 , 15566, 15567, 13099, 13096, 15577, 15578, 13161, 13158 -12982 , 15567, 15568, 13102, 13099, 15578, 15579, 13164, 13161 -12983 , 15568, 15569, 13105, 13102, 15579, 15580, 13167, 13164 -12984 , 15569, 15570, 13108, 13105, 15580, 15581, 13170, 13167 -12985 , 15570, 15511, 13111, 13108, 15581, 15517, 13173, 13170 -12986 , 15571, 15572, 13136, 13133, 15524, 15533, 13195, 13192 -12987 , 15572, 15573, 13139, 13136, 15533, 15535, 13198, 13195 -12988 , 15573, 10951, 10952, 13139, 15535, 15526, 13204, 13198 -12989 , 10958, 15574, 13149, 10957, 11782, 11740, 11280, 11279 -12990 , 15574, 15575, 13152, 13149, 11740, 11742, 11287, 11280 -12991 , 15575, 15576, 13155, 13152, 11742, 11781, 11744, 11287 -12992 , 15576, 15577, 13158, 13155, 11781, 15582, 13213, 11744 -12993 , 15577, 15578, 13161, 13158, 15582, 15583, 13216, 13213 -12994 , 15578, 15579, 13164, 13161, 15583, 15584, 13219, 13216 -12995 , 15579, 15580, 13167, 13164, 15584, 15585, 13222, 13219 -12996 , 15580, 15581, 13170, 13167, 15585, 15586, 13228, 13222 -12997 , 15581, 15517, 13173, 13170, 15586, 15528, 13231, 13228 -12998 , 11781, 15582, 13213, 11744, 11748, 11751, 11315, 11306 -12999 , 15582, 15583, 13216, 13213, 11751, 11780, 11753, 11315 -13000 , 15583, 15584, 13219, 13216, 11780, 15587, 13258, 11753 -13001 , 15584, 15585, 13222, 13219, 15587, 15588, 13261, 13258 -13002 , 15585, 15586, 13228, 13222, 15588, 15538, 13264, 13261 -13003 , 11780, 15587, 13258, 11753, 11759, 11763, 11762, 11338 -13004 , 15587, 15588, 13261, 13258, 11763, 15589, 13284, 11762 -13005 , 15588, 15538, 13264, 13261, 15589, 15541, 13288, 13284 -13006 , 11763, 15589, 13284, 11762, 11764, 11772, 11773, 11365 -13007 , 15589, 15541, 13288, 13284, 11772, 15543, 13303, 11773 -13008 , 11456, 11523, 10504, 10514, 11028, 11035, 10502, 10501 -13009 , 10685, 10087, 13076, 13011, 10702, 10771, 10943, 10932 -13010 , 12945, 10683, 10685, 13011, 10911, 10772, 10702, 10932 -13011 , 11018, 10599, 10488, 11007, 10621, 10602, 10491, 10497 -13012 , 10599, 10600, 11291, 11018, 11009, 11160, 11141, 11017 -13013 , 11160, 11279, 11282, 10600, 11141, 11283, 11284, 11291 -13014 , 11021, 11018, 11007, 11014, 11318, 10621, 10497, 10501 -13015 , 10954, 10955, 10896, 10895, 11134, 15590, 11160, 11009 -13016 , 10955, 10958, 10957, 10896, 15590, 11782, 11279, 11160 -13017 , 11134, 15590, 11160, 11009, 11138, 11143, 11141, 11017 -13018 , 15590, 11782, 11279, 11160, 11143, 11745, 11283, 11141 -13019 , 7013, 8613, 8614, 7014, 12239, 15591, 15607, 13970 -13020 , 8613, 7013, 7018, 8615, 15591, 12239, 14962, 15663 -13021 , 12240, 15592, 15593, 12241, 12244, 15594, 15599, 12294 -13022 , 15593, 15592, 12240, 12241, 15600, 15595, 12246, 12295 -13023 , 12240, 15592, 15594, 12244, 12248, 15596, 15609, 13306 -13024 , 12246, 15595, 15592, 12240, 15491, 15622, 15596, 12248 -13025 , 15598, 15597, 15592, 15593, 15667, 15601, 15595, 15600 -13026 , 15592, 15597, 15598, 15593, 15594, 15603, 15671, 15599 -13027 , 15595, 15601, 15597, 15592, 15622, 15708, 15602, 15596 -13028 , 15596, 15602, 15597, 15592, 15609, 15786, 15603, 15594 -13029 , 8626, 8627, 8628, 8629, 15605, 15604, 15606, 15611 -13030 , 8614, 8627, 8626, 8630, 15607, 15604, 15605, 15613 -13031 , 8627, 8614, 8631, 8628, 15604, 15607, 15665, 15606 -13032 , 7040, 8632, 8633, 7041, 12261, 15608, 15624, 12935 -13033 , 7040, 8632, 15608, 12261, 7044, 8634, 15619, 15482 -13034 , 8626, 8635, 8636, 8637, 15605, 15612, 15615, 15610 -13035 , 8626, 15605, 15610, 8637, 8630, 15613, 15616, 8638 -13036 , 8635, 8626, 8629, 8639, 15612, 15605, 15611, 15666 -13037 , 8637, 8636, 8640, 8641, 15610, 15615, 15618, 15614 -13038 , 8637, 15610, 15614, 8641, 8638, 15616, 15619, 8634 -13039 , 8634, 8641, 8642, 8632, 15619, 15614, 15617, 15608 -13040 , 8641, 8640, 8643, 8642, 15614, 15618, 15621, 15617 -13041 , 8632, 8642, 8644, 8633, 15608, 15617, 15620, 15624 -13042 , 8642, 8643, 8645, 8644, 15617, 15621, 15625, 15620 -13043 , 8633, 8644, 8646, 8647, 15624, 15620, 15623, 15628 -13044 , 8644, 8645, 8648, 8646, 15620, 15625, 15627, 15623 -13045 , 8647, 8646, 8649, 8650, 15628, 15623, 15626, 15631 -13046 , 8646, 8648, 8651, 8649, 15623, 15627, 15630, 15626 -13047 , 8649, 8651, 8652, 8653, 15626, 15630, 15633, 15629 -13048 , 8650, 8649, 8653, 8654, 15631, 15626, 15629, 15634 -13049 , 8653, 8652, 8655, 8656, 15629, 15633, 15636, 15632 -13050 , 8654, 8653, 8656, 8657, 15634, 15629, 15632, 15637 -13051 , 8656, 8655, 8658, 8659, 15632, 15636, 15640, 15635 -13052 , 8657, 8656, 8659, 8660, 15637, 15632, 15635, 15641 -13053 , 12241, 15593, 15638, 12292, 12294, 15599, 15669, 12382 -13054 , 15638, 15593, 12241, 12292, 15670, 15600, 12295, 12383 -13055 , 8659, 8658, 8661, 8662, 15635, 15640, 15643, 15639 -13056 , 8660, 8659, 8662, 8663, 15641, 15635, 15639, 15644 -13057 , 8662, 8661, 8664, 8665, 15639, 15643, 15647, 15642 -13058 , 8663, 8662, 8665, 8666, 15644, 15639, 15642, 15648 -13059 , 8667, 8665, 8668, 8669, 15645, 15642, 15646, 15649 -13060 , 8666, 8665, 8667, 8670, 15648, 15642, 15645, 15650 -13061 , 8665, 8664, 8671, 8668, 15642, 15647, 15721, 15646 -13062 , 8670, 8667, 8669, 8672, 15650, 15645, 15649, 15726 -13063 , 8673, 8674, 8675, 8676, 15652, 15651, 15653, 15656 -13064 , 8677, 8674, 8673, 8678, 15654, 15651, 15652, 15658 -13065 , 8674, 8677, 8679, 8675, 15651, 15654, 15741, 15653 -13066 , 8673, 8680, 8681, 8682, 15652, 15657, 15660, 15655 -13067 , 8678, 8673, 8682, 8683, 15658, 15652, 15655, 15661 -13068 , 8680, 8673, 8676, 8684, 15657, 15652, 15656, 15742 -13069 , 8682, 8681, 8685, 8686, 15655, 15660, 15662, 15659 -13070 , 8683, 8682, 8686, 8615, 15661, 15655, 15659, 15663 -13071 , 8686, 8685, 8687, 8628, 15659, 15662, 15664, 15606 -13072 , 8615, 8686, 8628, 8631, 15663, 15659, 15606, 15665 -13073 , 8628, 8687, 8639, 8629, 15606, 15664, 15666, 15611 -13074 , 15598, 15667, 15600, 15593, 15668, 15716, 15670, 15638 -13075 , 15593, 15598, 15668, 15638, 15599, 15671, 15761, 15669 -13076 , 15674, 15673, 15672, 15675, 15688, 15681, 15678, 15679 -13077 , 15672, 15673, 15674, 15675, 15676, 15682, 15689, 15677 -13078 , 15675, 15672, 15676, 15677, 15614, 15610, 15616, 15619 -13079 , 15675, 15672, 15610, 15614, 15679, 15678, 15615, 15618 -13080 , 15673, 15680, 15611, 15672, 15681, 15764, 15666, 15678 -13081 , 15611, 15680, 15673, 15672, 15683, 15765, 15682, 15676 -13082 , 15672, 15611, 15683, 15676, 15610, 15605, 15613, 15616 -13083 , 15672, 15611, 15605, 15610, 15678, 15666, 15612, 15615 -13084 , 15684, 15674, 15675, 15685, 15694, 15688, 15679, 15687 -13085 , 15675, 15674, 15684, 15685, 15677, 15689, 15695, 15686 -13086 , 15685, 15675, 15677, 15686, 15617, 15614, 15619, 15608 -13087 , 15685, 15675, 15614, 15617, 15687, 15679, 15618, 15621 -13088 , 15690, 15684, 15685, 15691, 15700, 15694, 15687, 15693 -13089 , 15685, 15684, 15690, 15691, 15686, 15695, 15701, 15692 -13090 , 15691, 15685, 15686, 15692, 15620, 15617, 15608, 15624 -13091 , 15691, 15685, 15617, 15620, 15693, 15687, 15621, 15625 -13092 , 15696, 15690, 15691, 15697, 15706, 15700, 15693, 15698 -13093 , 15691, 15690, 15696, 15697, 15692, 15701, 15707, 15699 -13094 , 15620, 15691, 15697, 15623, 15624, 15692, 15699, 15628 -13095 , 15697, 15691, 15620, 15623, 15698, 15693, 15625, 15627 -13096 , 15702, 15696, 15697, 15703, 15710, 15706, 15698, 15704 -13097 , 15697, 15696, 15702, 15703, 15699, 15707, 15711, 15705 -13098 , 15623, 15697, 15703, 15626, 15628, 15699, 15705, 15631 -13099 , 15703, 15697, 15623, 15626, 15704, 15698, 15627, 15630 -13100 , 15602, 15702, 15703, 15708, 15713, 15710, 15704, 15709 -13101 , 15703, 15702, 15602, 15708, 15705, 15711, 15596, 15622 -13102 , 15626, 15703, 15708, 15629, 15631, 15705, 15622, 15634 -13103 , 15708, 15703, 15626, 15629, 15709, 15704, 15630, 15633 -13104 , 15597, 15602, 15708, 15601, 15715, 15713, 15709, 15712 -13105 , 15629, 15708, 15601, 15632, 15634, 15622, 15595, 15637 -13106 , 15601, 15708, 15629, 15632, 15712, 15709, 15633, 15636 -13107 , 15598, 15597, 15601, 15667, 15718, 15715, 15712, 15714 -13108 , 15714, 15712, 15601, 15667, 15640, 15636, 15632, 15635 -13109 , 15632, 15601, 15667, 15635, 15637, 15595, 15600, 15641 -13110 , 15668, 15598, 15667, 15716, 15720, 15718, 15714, 15717 -13111 , 15717, 15714, 15667, 15716, 15643, 15640, 15635, 15639 -13112 , 15635, 15667, 15716, 15639, 15641, 15600, 15670, 15644 -13113 , 15668, 15716, 15670, 15638, 15719, 15646, 15722, 15723 -13114 , 15719, 15668, 15716, 15646, 15794, 15720, 15717, 15721 -13115 , 15716, 15639, 15644, 15670, 15646, 15642, 15648, 15722 -13116 , 15646, 15716, 15639, 15642, 15721, 15717, 15643, 15647 -13117 , 12292, 15638, 15723, 12380, 12382, 15669, 15762, 12453 -13118 , 15723, 15638, 12292, 12380, 15722, 15670, 12383, 12454 -13119 , 8668, 8671, 8688, 8669, 15646, 15721, 15725, 15649 -13120 , 8669, 8688, 8689, 8690, 15649, 15725, 15729, 15724 -13121 , 8669, 15649, 15724, 8690, 8672, 15726, 15730, 8691 -13122 , 8692, 8690, 8693, 8694, 15727, 15724, 15728, 15731 -13123 , 8692, 8690, 15724, 15727, 8695, 8691, 15730, 15732 -13124 , 8690, 8689, 8696, 8693, 15724, 15729, 15804, 15728 -13125 , 8695, 8692, 8694, 8697, 15732, 15727, 15731, 15806 -13126 , 8698, 8699, 8700, 8701, 15733, 15736, 15738, 15734 -13127 , 8698, 15733, 15734, 8701, 8702, 15737, 15739, 8703 -13128 , 8698, 8702, 8704, 8705, 15733, 15737, 15815, 15735 -13129 , 8699, 8698, 8705, 8706, 15736, 15733, 15735, 15816 -13130 , 8701, 8700, 8707, 8675, 15734, 15738, 15740, 15653 -13131 , 8701, 15734, 15653, 8675, 8703, 15739, 15741, 8679 -13132 , 8675, 8707, 8684, 8676, 15653, 15740, 15742, 15656 -13133 , 15743, 15744, 15745, 15746, 15749, 15752, 15759, 15750 -13134 , 15745, 15744, 15743, 15746, 15760, 15753, 15747, 15748 -13135 , 15748, 15747, 15743, 15746, 15662, 15660, 15655, 15659 -13136 , 15655, 15743, 15746, 15659, 15661, 15749, 15750, 15663 -13137 , 15656, 15751, 15744, 15743, 15754, 15829, 15752, 15749 -13138 , 15744, 15751, 15656, 15743, 15753, 15830, 15742, 15747 -13139 , 15655, 15660, 15747, 15743, 15652, 15657, 15742, 15656 -13140 , 15661, 15655, 15743, 15749, 15658, 15652, 15656, 15754 -13141 , 15746, 15745, 15755, 15756, 15750, 15759, 15766, 15758 -13142 , 15755, 15745, 15746, 15756, 15767, 15760, 15748, 15757 -13143 , 15757, 15748, 15746, 15756, 15664, 15662, 15659, 15606 -13144 , 15659, 15746, 15756, 15606, 15663, 15750, 15758, 15665 -13145 , 15638, 15668, 15719, 15723, 15669, 15761, 15793, 15762 -13146 , 15756, 15755, 15763, 15680, 15758, 15766, 15769, 15765 -13147 , 15763, 15755, 15756, 15680, 15770, 15767, 15757, 15764 -13148 , 15764, 15757, 15756, 15680, 15666, 15664, 15606, 15611 -13149 , 15606, 15756, 15680, 15611, 15665, 15758, 15765, 15683 -13150 , 15680, 15763, 15768, 15673, 15765, 15769, 15772, 15682 -13151 , 15768, 15763, 15680, 15673, 15773, 15770, 15764, 15681 -13152 , 15673, 15768, 15771, 15674, 15682, 15772, 15775, 15689 -13153 , 15771, 15768, 15673, 15674, 15776, 15773, 15681, 15688 -13154 , 15674, 15771, 15774, 15684, 15689, 15775, 15778, 15695 -13155 , 15774, 15771, 15674, 15684, 15779, 15776, 15688, 15694 -13156 , 15684, 15774, 15777, 15690, 15695, 15778, 15781, 15701 -13157 , 15777, 15774, 15684, 15690, 15782, 15779, 15694, 15700 -13158 , 15690, 15777, 15780, 15696, 15701, 15781, 15784, 15707 -13159 , 15780, 15777, 15690, 15696, 15785, 15782, 15700, 15706 -13160 , 15696, 15780, 15783, 15702, 15707, 15784, 15787, 15711 -13161 , 15783, 15780, 15696, 15702, 15788, 15785, 15706, 15710 -13162 , 15702, 15783, 15786, 15602, 15711, 15787, 15609, 15596 -13163 , 15786, 15783, 15702, 15602, 15789, 15788, 15710, 15713 -13164 , 15603, 15786, 15602, 15597, 15790, 15789, 15713, 15715 -13165 , 15671, 15603, 15597, 15598, 15792, 15790, 15715, 15718 -13166 , 12380, 15723, 15791, 12451, 12453, 15762, 15801, 12524 -13167 , 15791, 15723, 12380, 12451, 15726, 15722, 12454, 12525 -13168 , 15761, 15671, 15598, 15668, 15795, 15792, 15718, 15720 -13169 , 15793, 15761, 15668, 15719, 15799, 15795, 15720, 15794 -13170 , 15723, 15719, 15796, 15791, 15762, 15793, 15797, 15801 -13171 , 15796, 15719, 15723, 15791, 15649, 15646, 15722, 15726 -13172 , 15797, 15793, 15719, 15796, 15802, 15799, 15794, 15798 -13173 , 15798, 15794, 15719, 15796, 15725, 15721, 15646, 15649 -13174 , 15796, 15797, 15800, 15728, 15791, 15801, 15882, 15803 -13175 , 15800, 15797, 15796, 15728, 15883, 15802, 15798, 15804 -13176 , 15728, 15796, 15791, 15803, 15724, 15649, 15726, 15730 -13177 , 15728, 15796, 15649, 15724, 15804, 15798, 15725, 15729 -13178 , 8693, 8696, 8708, 8694, 15728, 15804, 15807, 15731 -13179 , 8697, 8694, 8709, 8710, 15806, 15731, 15805, 15809 -13180 , 8694, 8708, 8711, 8709, 15731, 15807, 15810, 15805 -13181 , 8710, 8709, 8712, 8713, 15809, 15805, 15808, 15895 -13182 , 8709, 8711, 8714, 8712, 15805, 15810, 15896, 15808 -13183 , 8715, 8716, 8705, 8704, 15813, 15811, 15735, 15815 -13184 , 8716, 8717, 8706, 8705, 15811, 15814, 15816, 15735 -13185 , 8716, 8715, 8718, 8719, 15811, 15813, 15906, 15812 -13186 , 8717, 8716, 8719, 8720, 15814, 15811, 15812, 15905 -13187 , 15817, 15818, 15819, 15820, 15821, 15826, 15831, 15822 -13188 , 15819, 15818, 15817, 15820, 15832, 15827, 15823, 15824 -13189 , 15820, 15817, 15821, 15822, 15653, 15734, 15739, 15741 -13190 , 15824, 15823, 15817, 15820, 15740, 15738, 15734, 15653 -13191 , 15818, 15825, 15735, 15817, 15827, 15909, 15816, 15823 -13192 , 15735, 15825, 15818, 15817, 15815, 15910, 15826, 15821 -13193 , 15739, 15734, 15817, 15821, 15737, 15733, 15735, 15815 -13194 , 15817, 15735, 15733, 15734, 15823, 15816, 15736, 15738 -13195 , 15820, 15819, 15828, 15751, 15822, 15831, 15834, 15829 -13196 , 15828, 15819, 15820, 15751, 15835, 15832, 15824, 15830 -13197 , 15751, 15820, 15822, 15829, 15656, 15653, 15741, 15754 -13198 , 15830, 15824, 15820, 15751, 15742, 15740, 15653, 15656 -13199 , 15751, 15828, 15833, 15744, 15829, 15834, 15837, 15752 -13200 , 15833, 15828, 15751, 15744, 15838, 15835, 15830, 15753 -13201 , 15744, 15833, 15836, 15745, 15752, 15837, 15840, 15759 -13202 , 15836, 15833, 15744, 15745, 15841, 15838, 15753, 15760 -13203 , 15745, 15836, 15839, 15755, 15759, 15840, 15843, 15766 -13204 , 15839, 15836, 15745, 15755, 15844, 15841, 15760, 15767 -13205 , 15755, 15839, 15842, 15763, 15766, 15843, 15846, 15769 -13206 , 15842, 15839, 15755, 15763, 15847, 15844, 15767, 15770 -13207 , 15763, 15842, 15845, 15768, 15769, 15846, 15849, 15772 -13208 , 15845, 15842, 15763, 15768, 15850, 15847, 15770, 15773 -13209 , 15768, 15845, 15848, 15771, 15772, 15849, 15852, 15775 -13210 , 15848, 15845, 15768, 15771, 15853, 15850, 15773, 15776 -13211 , 15771, 15848, 15851, 15774, 15775, 15852, 15855, 15778 -13212 , 15851, 15848, 15771, 15774, 15856, 15853, 15776, 15779 -13213 , 15774, 15851, 15854, 15777, 15778, 15855, 15858, 15781 -13214 , 15854, 15851, 15774, 15777, 15859, 15856, 15779, 15782 -13215 , 15777, 15854, 15857, 15780, 15781, 15858, 15861, 15784 -13216 , 15857, 15854, 15777, 15780, 15862, 15859, 15782, 15785 -13217 , 12451, 15791, 15803, 12523, 12524, 15801, 15882, 12596 -13218 , 15803, 15791, 12451, 12523, 15730, 15726, 12525, 12599 -13219 , 15780, 15857, 15860, 15783, 15784, 15861, 15864, 15787 -13220 , 15860, 15857, 15780, 15783, 15865, 15862, 15785, 15788 -13221 , 15783, 15860, 15863, 15786, 15787, 15864, 15867, 15609 -13222 , 15863, 15860, 15783, 15786, 15868, 15865, 15788, 15789 -13223 , 15786, 15863, 15866, 15603, 15609, 15867, 15870, 15594 -13224 , 15866, 15863, 15786, 15603, 15871, 15868, 15789, 15790 -13225 , 15603, 15866, 15869, 15671, 15594, 15870, 15873, 15599 -13226 , 15869, 15866, 15603, 15671, 15874, 15871, 15790, 15792 -13227 , 15671, 15869, 15872, 15761, 15599, 15873, 15876, 15669 -13228 , 15872, 15869, 15671, 15761, 15877, 15874, 15792, 15795 -13229 , 15761, 15872, 15875, 15793, 15669, 15876, 15879, 15762 -13230 , 15875, 15872, 15761, 15793, 15880, 15877, 15795, 15799 -13231 , 15793, 15875, 15878, 15797, 15762, 15879, 15884, 15801 -13232 , 15878, 15875, 15793, 15797, 15885, 15880, 15799, 15802 -13233 , 15797, 15878, 15881, 15800, 15801, 15884, 15890, 15882 -13234 , 15881, 15878, 15797, 15800, 15891, 15885, 15802, 15883 -13235 , 15800, 15881, 15886, 15887, 15882, 15890, 15893, 15888 -13236 , 15886, 15881, 15800, 15887, 15894, 15891, 15883, 15889 -13237 , 15887, 15800, 15882, 15888, 15731, 15728, 15803, 15806 -13238 , 15889, 15883, 15800, 15887, 15807, 15804, 15728, 15731 -13239 , 15887, 15886, 15892, 15808, 15888, 15893, 15976, 15895 -13240 , 15892, 15886, 15887, 15808, 15975, 15894, 15889, 15896 -13241 , 15887, 15731, 15806, 15888, 15808, 15805, 15809, 15895 -13242 , 15808, 15887, 15731, 15805, 15896, 15889, 15807, 15810 -13243 , 8712, 8714, 8721, 8722, 15808, 15896, 15899, 15897 -13244 , 8713, 8712, 8722, 8723, 15895, 15808, 15897, 15900 -13245 , 8722, 8721, 8724, 8725, 15897, 15899, 15983, 15898 -13246 , 8723, 8722, 8725, 8726, 15900, 15897, 15898, 15982 -13247 , 8727, 8728, 8720, 8719, 15901, 15903, 15905, 15812 -13248 , 8729, 8727, 8719, 8718, 15904, 15901, 15812, 15906 -13249 , 8728, 8727, 8730, 8731, 15903, 15901, 15902, 15992 -13250 , 8727, 8729, 8732, 8730, 15901, 15904, 15993, 15902 -13251 , 15908, 15907, 15825, 15818, 15915, 15912, 15909, 15827 -13252 , 15825, 15907, 15908, 15818, 15910, 15913, 15916, 15826 -13253 , 15907, 15911, 15812, 15825, 15912, 15996, 15905, 15909 -13254 , 15812, 15911, 15907, 15825, 15906, 15997, 15913, 15910 -13255 , 15735, 15816, 15909, 15825, 15811, 15814, 15905, 15812 -13256 , 15815, 15735, 15825, 15910, 15813, 15811, 15812, 15906 -13257 , 15914, 15908, 15818, 15819, 15918, 15915, 15827, 15832 -13258 , 15818, 15908, 15914, 15819, 15826, 15916, 15919, 15831 -13259 , 15917, 15914, 15819, 15828, 15921, 15918, 15832, 15835 -13260 , 15819, 15914, 15917, 15828, 15831, 15919, 15922, 15834 -13261 , 15920, 15917, 15828, 15833, 15924, 15921, 15835, 15838 -13262 , 15828, 15917, 15920, 15833, 15834, 15922, 15925, 15837 -13263 , 15923, 15920, 15833, 15836, 15927, 15924, 15838, 15841 -13264 , 15833, 15920, 15923, 15836, 15837, 15925, 15928, 15840 -13265 , 15926, 15923, 15836, 15839, 15930, 15927, 15841, 15844 -13266 , 15836, 15923, 15926, 15839, 15840, 15928, 15931, 15843 -13267 , 15929, 15926, 15839, 15842, 15933, 15930, 15844, 15847 -13268 , 15839, 15926, 15929, 15842, 15843, 15931, 15934, 15846 -13269 , 15882, 15803, 12523, 12596, 15888, 15806, 12600, 13394 -13270 , 15803, 15730, 12599, 12523, 15806, 15732, 15493, 12600 -13271 , 15932, 15929, 15842, 15845, 15936, 15933, 15847, 15850 -13272 , 15842, 15929, 15932, 15845, 15846, 15934, 15937, 15849 -13273 , 15935, 15932, 15845, 15848, 15939, 15936, 15850, 15853 -13274 , 15845, 15932, 15935, 15848, 15849, 15937, 15940, 15852 -13275 , 15938, 15935, 15848, 15851, 15942, 15939, 15853, 15856 -13276 , 15848, 15935, 15938, 15851, 15852, 15940, 15943, 15855 -13277 , 15941, 15938, 15851, 15854, 15945, 15942, 15856, 15859 -13278 , 15851, 15938, 15941, 15854, 15855, 15943, 15946, 15858 -13279 , 15944, 15941, 15854, 15857, 15948, 15945, 15859, 15862 -13280 , 15854, 15941, 15944, 15857, 15858, 15946, 15949, 15861 -13281 , 15947, 15944, 15857, 15860, 15951, 15948, 15862, 15865 -13282 , 15857, 15944, 15947, 15860, 15861, 15949, 15952, 15864 -13283 , 15950, 15947, 15860, 15863, 15954, 15951, 15865, 15868 -13284 , 15860, 15947, 15950, 15863, 15864, 15952, 15955, 15867 -13285 , 15953, 15950, 15863, 15866, 15957, 15954, 15868, 15871 -13286 , 15863, 15950, 15953, 15866, 15867, 15955, 15958, 15870 -13287 , 15956, 15953, 15866, 15869, 15960, 15957, 15871, 15874 -13288 , 15866, 15953, 15956, 15869, 15870, 15958, 15961, 15873 -13289 , 15959, 15956, 15869, 15872, 15963, 15960, 15874, 15877 -13290 , 15869, 15956, 15959, 15872, 15873, 15961, 15964, 15876 -13291 , 15962, 15959, 15872, 15875, 15966, 15963, 15877, 15880 -13292 , 15872, 15959, 15962, 15875, 15876, 15964, 15967, 15879 -13293 , 15965, 15962, 15875, 15878, 15969, 15966, 15880, 15885 -13294 , 15875, 15962, 15965, 15878, 15879, 15967, 15970, 15884 -13295 , 15968, 15965, 15878, 15881, 15972, 15969, 15885, 15891 -13296 , 15878, 15965, 15968, 15881, 15884, 15970, 15973, 15890 -13297 , 15806, 15803, 15730, 15732, 15731, 15728, 15724, 15727 -13298 , 15971, 15968, 15881, 15886, 15977, 15972, 15891, 15894 -13299 , 15881, 15968, 15971, 15886, 15890, 15973, 15978, 15893 -13300 , 15974, 15971, 15886, 15892, 15980, 15977, 15894, 15975 -13301 , 15886, 15971, 15974, 15892, 15893, 15978, 15981, 15976 -13302 , 15979, 15974, 15892, 15898, 16068, 15980, 15975, 15983 -13303 , 15892, 15974, 15979, 15898, 15976, 15981, 16069, 15982 -13304 , 15892, 15808, 15895, 15976, 15898, 15897, 15900, 15982 -13305 , 15898, 15892, 15808, 15897, 15983, 15975, 15896, 15899 -13306 , 8725, 8724, 8733, 8734, 15898, 15983, 15986, 15984 -13307 , 8726, 8725, 8734, 8735, 15982, 15898, 15984, 15987 -13308 , 8734, 8733, 8736, 8737, 15984, 15986, 16075, 15985 -13309 , 8735, 8734, 8737, 8738, 15987, 15984, 15985, 16076 -13310 , 8739, 8740, 8731, 8730, 15988, 15990, 15992, 15902 -13311 , 8741, 8739, 8730, 8732, 15991, 15988, 15902, 15993 -13312 , 8740, 8739, 8742, 8743, 15990, 15988, 15989, 16085 -13313 , 8739, 8741, 8744, 8742, 15988, 15991, 16086, 15989 -13314 , 7156, 8697, 8710, 7157, 12600, 15806, 15809, 12727 -13315 , 7156, 8697, 15806, 12600, 7158, 8695, 15732, 15493 -13316 , 15995, 15994, 15911, 15907, 16002, 15999, 15996, 15912 -13317 , 15911, 15994, 15995, 15907, 15997, 16000, 16003, 15913 -13318 , 15994, 15998, 15902, 15911, 15999, 16089, 15992, 15996 -13319 , 15902, 15998, 15994, 15911, 15993, 16090, 16000, 15997 -13320 , 15812, 15905, 15996, 15911, 15901, 15903, 15992, 15902 -13321 , 15906, 15812, 15911, 15997, 15904, 15901, 15902, 15993 -13322 , 16001, 15995, 15907, 15908, 16005, 16002, 15912, 15915 -13323 , 15907, 15995, 16001, 15908, 15913, 16003, 16006, 15916 -13324 , 16004, 16001, 15908, 15914, 16008, 16005, 15915, 15918 -13325 , 15908, 16001, 16004, 15914, 15916, 16006, 16009, 15919 -13326 , 16007, 16004, 15914, 15917, 16011, 16008, 15918, 15921 -13327 , 15914, 16004, 16007, 15917, 15919, 16009, 16012, 15922 -13328 , 16010, 16007, 15917, 15920, 16014, 16011, 15921, 15924 -13329 , 15917, 16007, 16010, 15920, 15922, 16012, 16015, 15925 -13330 , 16013, 16010, 15920, 15923, 16017, 16014, 15924, 15927 -13331 , 15920, 16010, 16013, 15923, 15925, 16015, 16018, 15928 -13332 , 16016, 16013, 15923, 15926, 16020, 16017, 15927, 15930 -13333 , 15923, 16013, 16016, 15926, 15928, 16018, 16021, 15931 -13334 , 16019, 16016, 15926, 15929, 16023, 16020, 15930, 15933 -13335 , 15926, 16016, 16019, 15929, 15931, 16021, 16024, 15934 -13336 , 16022, 16019, 15929, 15932, 16026, 16023, 15933, 15936 -13337 , 15929, 16019, 16022, 15932, 15934, 16024, 16027, 15937 -13338 , 16025, 16022, 15932, 15935, 16029, 16026, 15936, 15939 -13339 , 15932, 16022, 16025, 15935, 15937, 16027, 16030, 15940 -13340 , 16028, 16025, 15935, 15938, 16032, 16029, 15939, 15942 -13341 , 15935, 16025, 16028, 15938, 15940, 16030, 16033, 15943 -13342 , 16031, 16028, 15938, 15941, 16035, 16032, 15942, 15945 -13343 , 15938, 16028, 16031, 15941, 15943, 16033, 16036, 15946 -13344 , 16034, 16031, 15941, 15944, 16038, 16035, 15945, 15948 -13345 , 15941, 16031, 16034, 15944, 15946, 16036, 16039, 15949 -13346 , 16037, 16034, 15944, 15947, 16041, 16038, 15948, 15951 -13347 , 15944, 16034, 16037, 15947, 15949, 16039, 16042, 15952 -13348 , 16040, 16037, 15947, 15950, 16044, 16041, 15951, 15954 -13349 , 15947, 16037, 16040, 15950, 15952, 16042, 16045, 15955 -13350 , 16043, 16040, 15950, 15953, 16047, 16044, 15954, 15957 -13351 , 15950, 16040, 16043, 15953, 15955, 16045, 16048, 15958 -13352 , 16046, 16043, 15953, 15956, 16050, 16047, 15957, 15960 -13353 , 15953, 16043, 16046, 15956, 15958, 16048, 16051, 15961 -13354 , 16049, 16046, 15956, 15959, 16053, 16050, 15960, 15963 -13355 , 15956, 16046, 16049, 15959, 15961, 16051, 16054, 15964 -13356 , 16052, 16049, 15959, 15962, 16056, 16053, 15963, 15966 -13357 , 15959, 16049, 16052, 15962, 15964, 16054, 16057, 15967 -13358 , 16055, 16052, 15962, 15965, 16059, 16056, 15966, 15969 -13359 , 15962, 16052, 16055, 15965, 15967, 16057, 16060, 15970 -13360 , 7157, 8710, 8713, 7159, 12727, 15809, 15895, 13420 -13361 , 16058, 16055, 15965, 15968, 16062, 16059, 15969, 15972 -13362 , 15965, 16055, 16058, 15968, 15970, 16060, 16063, 15973 -13363 , 16061, 16058, 15968, 15971, 16065, 16062, 15972, 15977 -13364 , 15968, 16058, 16061, 15971, 15973, 16063, 16066, 15978 -13365 , 16064, 16061, 15971, 15974, 16070, 16065, 15977, 15980 -13366 , 15971, 16061, 16064, 15974, 15978, 16066, 16071, 15981 -13367 , 16067, 16064, 15974, 15979, 16073, 16070, 15980, 16068 -13368 , 15974, 16064, 16067, 15979, 15981, 16071, 16074, 16069 -13369 , 16072, 16067, 15979, 15985, 16163, 16073, 16068, 16075 -13370 , 15979, 16067, 16072, 15985, 16069, 16074, 16164, 16076 -13371 , 16068, 15983, 15898, 15979, 16075, 15986, 15984, 15985 -13372 , 15979, 15898, 15982, 16069, 15985, 15984, 15987, 16076 -13373 , 8737, 8736, 8745, 8746, 15985, 16075, 16079, 16077 -13374 , 8738, 8737, 8746, 8747, 16076, 15985, 16077, 16080 -13375 , 8746, 8745, 8748, 8749, 16077, 16079, 16171, 16078 -13376 , 8747, 8746, 8749, 8750, 16080, 16077, 16078, 16170 -13377 , 8751, 8752, 8743, 8742, 16081, 16083, 16085, 15989 -13378 , 8753, 8751, 8742, 8744, 16084, 16081, 15989, 16086 -13379 , 8752, 8751, 8754, 8755, 16083, 16081, 16082, 16173 -13380 , 8751, 8753, 8756, 8754, 16081, 16084, 16174, 16082 -13381 , 16088, 16087, 15998, 15994, 16095, 16092, 16089, 15999 -13382 , 15998, 16087, 16088, 15994, 16090, 16093, 16096, 16000 -13383 , 15989, 16091, 16087, 15998, 16086, 16178, 16093, 16090 -13384 , 16087, 16091, 15989, 15998, 16092, 16177, 16085, 16089 -13385 , 15902, 15992, 16089, 15998, 15988, 15990, 16085, 15989 -13386 , 15993, 15902, 15998, 16090, 15991, 15988, 15989, 16086 -13387 , 16094, 16088, 15994, 15995, 16098, 16095, 15999, 16002 -13388 , 15994, 16088, 16094, 15995, 16000, 16096, 16099, 16003 -13389 , 16097, 16094, 15995, 16001, 16101, 16098, 16002, 16005 -13390 , 15995, 16094, 16097, 16001, 16003, 16099, 16102, 16006 -13391 , 16100, 16097, 16001, 16004, 16104, 16101, 16005, 16008 -13392 , 16001, 16097, 16100, 16004, 16006, 16102, 16105, 16009 -13393 , 16103, 16100, 16004, 16007, 16107, 16104, 16008, 16011 -13394 , 16004, 16100, 16103, 16007, 16009, 16105, 16108, 16012 -13395 , 16106, 16103, 16007, 16010, 16110, 16107, 16011, 16014 -13396 , 16007, 16103, 16106, 16010, 16012, 16108, 10974, 16015 -13397 , 16109, 16106, 16010, 16013, 16112, 16110, 16014, 16017 -13398 , 16010, 16106, 16109, 16013, 16015, 10974, 10977, 16018 -13399 , 16111, 16109, 16013, 16016, 16114, 16112, 16017, 16020 -13400 , 16013, 16109, 16111, 16016, 16018, 10977, 10978, 16021 -13401 , 16113, 16111, 16016, 16019, 16116, 16114, 16020, 16023 -13402 , 16016, 16111, 16113, 16019, 16021, 10978, 10979, 16024 -13403 , 16115, 16113, 16019, 16022, 16118, 16116, 16023, 16026 -13404 , 16019, 16113, 16115, 16022, 16024, 10979, 16119, 16027 -13405 , 16117, 16115, 16022, 16025, 16121, 16118, 16026, 16029 -13406 , 16022, 16115, 16117, 16025, 16027, 16119, 16122, 16030 -13407 , 7172, 8715, 8704, 7173, 12790, 15813, 15815, 12855 -13408 , 8715, 7172, 7174, 8718, 15813, 12790, 13507, 15906 -13409 , 16120, 16117, 16025, 16028, 16124, 16121, 16029, 16032 -13410 , 16025, 16117, 16120, 16028, 16030, 16122, 16125, 16033 -13411 , 16123, 16120, 16028, 16031, 16127, 16124, 16032, 16035 -13412 , 16028, 16120, 16123, 16031, 16033, 16125, 16128, 16036 -13413 , 16126, 16123, 16031, 16034, 16130, 16127, 16035, 16038 -13414 , 16031, 16123, 16126, 16034, 16036, 16128, 16131, 16039 -13415 , 16129, 16126, 16034, 16037, 16133, 16130, 16038, 16041 -13416 , 16034, 16126, 16129, 16037, 16039, 16131, 16134, 16042 -13417 , 16132, 16129, 16037, 16040, 16136, 16133, 16041, 16044 -13418 , 16037, 16129, 16132, 16040, 16042, 16134, 16137, 16045 -13419 , 16135, 16132, 16040, 16043, 16139, 16136, 16044, 16047 -13420 , 16040, 16132, 16135, 16043, 16045, 16137, 16140, 16048 -13421 , 16138, 16135, 16043, 16046, 16142, 16139, 16047, 16050 -13422 , 16043, 16135, 16138, 16046, 16048, 16140, 16143, 16051 -13423 , 16141, 16138, 16046, 16049, 16145, 16142, 16050, 16053 -13424 , 16046, 16138, 16141, 16049, 16051, 16143, 16146, 16054 -13425 , 16144, 16141, 16049, 16052, 16148, 16145, 16053, 16056 -13426 , 16049, 16141, 16144, 16052, 16054, 16146, 16149, 16057 -13427 , 16147, 16144, 16052, 16055, 16151, 16148, 16056, 16059 -13428 , 16052, 16144, 16147, 16055, 16057, 16149, 16152, 16060 -13429 , 16150, 16147, 16055, 16058, 16154, 16151, 16059, 16062 -13430 , 16055, 16147, 16150, 16058, 16060, 16152, 16155, 16063 -13431 , 16153, 16150, 16058, 16061, 16157, 16154, 16062, 16065 -13432 , 16058, 16150, 16153, 16061, 16063, 16155, 16158, 16066 -13433 , 16156, 16153, 16061, 16064, 16160, 16157, 16065, 16070 -13434 , 16061, 16153, 16156, 16064, 16066, 16158, 16161, 16071 -13435 , 16159, 16156, 16064, 16067, 16165, 16160, 16070, 16073 -13436 , 16064, 16156, 16159, 16067, 16071, 16161, 16166, 16074 -13437 , 16162, 16159, 16067, 16072, 16167, 16165, 16073, 16163 -13438 , 16067, 16159, 16162, 16072, 16074, 16166, 16168, 16164 -13439 , 16167, 16163, 16072, 16162, 16243, 16171, 16078, 16169 -13440 , 16162, 16072, 16164, 16168, 16169, 16078, 16170, 16244 -13441 , 16072, 15985, 16076, 16164, 16078, 16077, 16080, 16170 -13442 , 16078, 16072, 15985, 16077, 16171, 16163, 16075, 16079 -13443 , 8749, 8748, 8757, 8758, 16078, 16171, 16243, 16169 -13444 , 8750, 8749, 8758, 8759, 16170, 16078, 16169, 16244 -13445 , 8755, 8754, 8760, 8761, 16173, 16082, 16172, 16249 -13446 , 8754, 8756, 8762, 8760, 16082, 16174, 16250, 16172 -13447 , 16091, 16175, 16176, 16087, 16178, 16179, 16183, 16093 -13448 , 16176, 16175, 16091, 16087, 16182, 16180, 16177, 16092 -13449 , 16086, 15989, 16091, 16178, 16084, 16081, 16082, 16174 -13450 , 16174, 16082, 16091, 16178, 16250, 16172, 16175, 16179 -13451 , 16091, 16082, 16081, 15989, 16177, 16173, 16083, 16085 -13452 , 16175, 16172, 16082, 16091, 16180, 16249, 16173, 16177 -13453 , 16181, 16176, 16087, 16088, 16185, 16182, 16092, 16095 -13454 , 16087, 16176, 16181, 16088, 16093, 16183, 16186, 16096 -13455 , 8704, 7173, 12855, 15815, 8702, 7181, 15496, 15737 -13456 , 16184, 16181, 16088, 16094, 16188, 16185, 16095, 16098 -13457 , 16088, 16181, 16184, 16094, 16096, 16186, 16189, 16099 -13458 , 16187, 16184, 16094, 16097, 16191, 16188, 16098, 16101 -13459 , 16094, 16184, 16187, 16097, 16099, 16189, 16192, 16102 -13460 , 16190, 16187, 16097, 16100, 16194, 16191, 16101, 16104 -13461 , 16097, 16187, 16190, 16100, 16102, 16192, 16195, 16105 -13462 , 16193, 16190, 16100, 16103, 16197, 16194, 16104, 16107 -13463 , 16100, 16190, 16193, 16103, 16105, 16195, 10980, 16108 -13464 , 16196, 16193, 16103, 16106, 16199, 16197, 16107, 16110 -13465 , 16103, 16193, 16196, 16106, 16108, 10980, 10975, 10974 -13466 , 16198, 16196, 16106, 16109, 16200, 16199, 16110, 16112 -13467 , 16106, 16196, 16198, 16109, 10974, 10975, 10976, 10977 -13468 , 10778, 16198, 16109, 16111, 16201, 16200, 16112, 16114 -13469 , 16109, 16198, 10778, 16111, 10977, 10976, 10782, 10978 -13470 , 10781, 10778, 16111, 16113, 10785, 16201, 16114, 16116 -13471 , 16111, 10778, 10781, 16113, 10978, 10782, 10783, 10979 -13472 , 10784, 10781, 16113, 16115, 10788, 10785, 16116, 16118 -13473 , 16113, 10781, 10784, 16115, 10979, 10783, 10789, 16119 -13474 , 10787, 10784, 16115, 16117, 10791, 10788, 16118, 16121 -13475 , 16115, 10784, 10787, 16117, 16119, 10789, 10792, 16122 -13476 , 10790, 10787, 16117, 16120, 10794, 10791, 16121, 16124 -13477 , 16117, 10787, 10790, 16120, 16122, 10792, 10795, 16125 -13478 , 10793, 10790, 16120, 16123, 16203, 10794, 16124, 16127 -13479 , 16120, 10790, 10793, 16123, 16125, 10795, 10883, 16128 -13480 , 16202, 10793, 16123, 16126, 16205, 16203, 16127, 16130 -13481 , 16123, 10793, 16202, 16126, 16128, 10883, 16206, 16131 -13482 , 16204, 16202, 16126, 16129, 16208, 16205, 16130, 16133 -13483 , 16126, 16202, 16204, 16129, 16131, 16206, 16209, 16134 -13484 , 16207, 16204, 16129, 16132, 16211, 16208, 16133, 16136 -13485 , 16129, 16204, 16207, 16132, 16134, 16209, 16212, 16137 -13486 , 16210, 16207, 16132, 16135, 16214, 16211, 16136, 16139 -13487 , 16132, 16207, 16210, 16135, 16137, 16212, 16215, 16140 -13488 , 16213, 16210, 16135, 16138, 16217, 16214, 16139, 16142 -13489 , 16135, 16210, 16213, 16138, 16140, 16215, 16218, 16143 -13490 , 16216, 16213, 16138, 16141, 16220, 16217, 16142, 16145 -13491 , 16138, 16213, 16216, 16141, 16143, 16218, 16221, 16146 -13492 , 16219, 16216, 16141, 16144, 16223, 16220, 16145, 16148 -13493 , 16141, 16216, 16219, 16144, 16146, 16221, 16224, 16149 -13494 , 16222, 16219, 16144, 16147, 16226, 16223, 16148, 16151 -13495 , 16144, 16219, 16222, 16147, 16149, 16224, 16227, 16152 -13496 , 12897, 15821, 15822, 12898, 12899, 15826, 15831, 12949 -13497 , 15822, 15821, 12897, 12898, 15741, 15739, 12900, 12950 -13498 , 12897, 15821, 15826, 12899, 12855, 15815, 15910, 13525 -13499 , 12900, 15739, 15821, 12897, 15496, 15737, 15815, 12855 -13500 , 16225, 16222, 16147, 16150, 16229, 16226, 16151, 16154 -13501 , 16147, 16222, 16225, 16150, 16152, 16227, 16230, 16155 -13502 , 16228, 16225, 16150, 16153, 16232, 16229, 16154, 16157 -13503 , 16150, 16225, 16228, 16153, 16155, 16230, 16233, 16158 -13504 , 16231, 16228, 16153, 16156, 16235, 16232, 16157, 16160 -13505 , 16153, 16228, 16231, 16156, 16158, 16233, 16236, 16161 -13506 , 16234, 16231, 16156, 16159, 16238, 16235, 16160, 16165 -13507 , 16156, 16231, 16234, 16159, 16161, 16236, 16239, 16166 -13508 , 16237, 16234, 16159, 16162, 16240, 16238, 16165, 16167 -13509 , 16159, 16234, 16237, 16162, 16166, 16239, 16241, 16168 -13510 , 16240, 16167, 16162, 16237, 16301, 16243, 16169, 16242 -13511 , 16237, 16162, 16168, 16241, 16242, 16169, 16244, 16302 -13512 , 8763, 8758, 8764, 8765, 16245, 16169, 16242, 16246 -13513 , 8759, 8758, 8763, 8766, 16244, 16169, 16245, 16247 -13514 , 8758, 8757, 8767, 8764, 16169, 16243, 16301, 16242 -13515 , 8766, 8763, 8765, 8768, 16247, 16245, 16246, 16305 -13516 , 8769, 8760, 8770, 8771, 16175, 16172, 16248, 16251 -13517 , 8761, 8760, 8769, 8772, 16249, 16172, 16175, 16180 -13518 , 8760, 8762, 8773, 8770, 16172, 16250, 16308, 16248 -13519 , 8772, 8769, 8771, 8774, 16180, 16175, 16251, 16309 -13520 , 16253, 16252, 16176, 16181, 16257, 16254, 16182, 16185 -13521 , 16176, 16252, 16253, 16181, 16183, 16255, 16258, 16186 -13522 , 16176, 16182, 16254, 16252, 16175, 16180, 16309, 16251 -13523 , 16183, 16176, 16252, 16255, 16179, 16175, 16251, 16315 -13524 , 16256, 16253, 16181, 16184, 16260, 16257, 16185, 16188 -13525 , 16181, 16253, 16256, 16184, 16186, 16258, 16261, 16189 -13526 , 7041, 8633, 8647, 7194, 12935, 15624, 15628, 13285 -13527 , 16259, 16256, 16184, 16187, 16263, 16260, 16188, 16191 -13528 , 16184, 16256, 16259, 16187, 16189, 16261, 16264, 16192 -13529 , 16262, 16259, 16187, 16190, 16266, 16263, 16191, 16194 -13530 , 16187, 16259, 16262, 16190, 16192, 16264, 16267, 16195 -13531 , 16265, 16262, 16190, 16193, 16269, 16266, 16194, 16197 -13532 , 16190, 16262, 16265, 16193, 16195, 16267, 10981, 10980 -13533 , 16268, 16265, 16193, 16196, 16270, 16269, 16197, 16199 -13534 , 16193, 16265, 16268, 16196, 10980, 10981, 10982, 10975 -13535 , 10796, 16268, 16196, 16198, 10799, 16270, 16199, 16200 -13536 , 16196, 16268, 10796, 16198, 10975, 10982, 10885, 10976 -13537 , 10779, 10796, 16198, 10778, 10801, 10799, 16200, 16201 -13538 , 16198, 10796, 10779, 10778, 10976, 10885, 10802, 10782 -13539 , 12898, 15822, 15829, 12948, 12949, 15831, 15834, 12989 -13540 , 15829, 15822, 12898, 12948, 15754, 15741, 12950, 12990 -13541 , 10589, 10530, 10793, 16202, 10590, 10531, 16203, 16205 -13542 , 10793, 10530, 10589, 16202, 10883, 10804, 10807, 16206 -13543 , 10806, 10589, 16202, 16204, 10809, 10590, 16205, 16208 -13544 , 16202, 10589, 10806, 16204, 16206, 10807, 10886, 16209 -13545 , 10811, 10806, 16204, 16207, 10812, 10809, 16208, 16211 -13546 , 16204, 10806, 10811, 16207, 16209, 10886, 10993, 16212 -13547 , 16271, 10811, 16207, 16210, 10825, 10812, 16211, 16214 -13548 , 16207, 10811, 16271, 16210, 16212, 10993, 16273, 16215 -13549 , 16272, 16271, 16210, 16213, 16275, 10825, 16214, 16217 -13550 , 16210, 16271, 16272, 16213, 16215, 16273, 16276, 16218 -13551 , 16274, 16272, 16213, 16216, 16278, 16275, 16217, 16220 -13552 , 16213, 16272, 16274, 16216, 16218, 16276, 16279, 16221 -13553 , 16277, 16274, 16216, 16219, 16281, 16278, 16220, 16223 -13554 , 16216, 16274, 16277, 16219, 16221, 16279, 16282, 16224 -13555 , 16280, 16277, 16219, 16222, 16284, 16281, 16223, 16226 -13556 , 16219, 16277, 16280, 16222, 16224, 16282, 16285, 16227 -13557 , 16283, 16280, 16222, 16225, 16287, 16284, 16226, 16229 -13558 , 16222, 16280, 16283, 16225, 16227, 16285, 16288, 16230 -13559 , 16286, 16283, 16225, 16228, 16290, 16287, 16229, 16232 -13560 , 16225, 16283, 16286, 16228, 16230, 16288, 16291, 16233 -13561 , 16289, 16286, 16228, 16231, 16293, 16290, 16232, 16235 -13562 , 16228, 16286, 16289, 16231, 16233, 16291, 16294, 16236 -13563 , 16292, 16289, 16231, 16234, 16296, 16293, 16235, 16238 -13564 , 16231, 16289, 16292, 16234, 16236, 16294, 16297, 16239 -13565 , 16295, 16292, 16234, 16237, 16299, 16296, 16238, 16240 -13566 , 16234, 16292, 16295, 16237, 16239, 16297, 16300, 16241 -13567 , 16298, 16295, 16237, 16242, 16357, 16299, 16240, 16301 -13568 , 16237, 16295, 16298, 16242, 16241, 16300, 16358, 16302 -13569 , 8764, 8767, 8775, 8765, 16242, 16301, 16304, 16246 -13570 , 8765, 8775, 8776, 8777, 16246, 16304, 16365, 16303 -13571 , 8768, 8765, 8777, 8778, 16305, 16246, 16303, 16364 -13572 , 8770, 8779, 8774, 8771, 16248, 16307, 16309, 16251 -13573 , 8779, 8770, 8780, 8781, 16307, 16248, 16306, 16367 -13574 , 8770, 8773, 8782, 8780, 16248, 16308, 16368, 16306 -13575 , 12948, 15829, 15752, 12988, 12989, 15834, 15837, 13019 -13576 , 15752, 15829, 12948, 12988, 15749, 15754, 12990, 13020 -13577 , 16311, 16310, 16252, 16253, 16317, 16313, 16254, 16257 -13578 , 16252, 16310, 16311, 16253, 16255, 16314, 16318, 16258 -13579 , 16310, 16312, 16251, 16252, 16313, 16371, 16309, 16254 -13580 , 16251, 16312, 16310, 16252, 16315, 16372, 16314, 16255 -13581 , 16316, 16311, 16253, 16256, 16320, 16317, 16257, 16260 -13582 , 16253, 16311, 16316, 16256, 16258, 16318, 16321, 16261 -13583 , 16319, 16316, 16256, 16259, 16323, 16320, 16260, 16263 -13584 , 16256, 16316, 16319, 16259, 16261, 16321, 16324, 16264 -13585 , 16322, 16319, 16259, 16262, 16326, 16323, 16263, 16266 -13586 , 16259, 16319, 16322, 16262, 16264, 16324, 16327, 16267 -13587 , 16325, 16322, 16262, 16265, 16329, 16326, 16266, 16269 -13588 , 16262, 16322, 16325, 16265, 16267, 16327, 10985, 10981 -13589 , 16328, 16325, 16265, 16268, 16330, 16329, 16269, 16270 -13590 , 16265, 16325, 16328, 16268, 10981, 10985, 10984, 10982 -13591 , 16268, 16270, 10799, 10796, 16328, 16330, 10800, 10797 -13592 , 10886, 10806, 10811, 10993, 10816, 10805, 10814, 10968 -13593 , 10811, 10814, 10992, 16271, 10993, 10968, 10987, 16273 -13594 , 10992, 10814, 10811, 16271, 10824, 10813, 10812, 10825 -13595 , 16331, 10992, 16271, 16272, 16333, 10824, 10825, 16275 -13596 , 16271, 10992, 16331, 16272, 16273, 10987, 16334, 16276 -13597 , 16332, 16331, 16272, 16274, 16336, 16333, 16275, 16278 -13598 , 16272, 16331, 16332, 16274, 16276, 16334, 16337, 16279 -13599 , 12988, 15752, 15759, 13018, 13019, 15837, 15840, 13080 -13600 , 15759, 15752, 12988, 13018, 15750, 15749, 13020, 13081 -13601 , 16335, 16332, 16274, 16277, 16339, 16336, 16278, 16281 -13602 , 16274, 16332, 16335, 16277, 16279, 16337, 16340, 16282 -13603 , 16338, 16335, 16277, 16280, 16342, 16339, 16281, 16284 -13604 , 16277, 16335, 16338, 16280, 16282, 16340, 16343, 16285 -13605 , 16341, 16338, 16280, 16283, 16345, 16342, 16284, 16287 -13606 , 16280, 16338, 16341, 16283, 16285, 16343, 16346, 16288 -13607 , 16344, 16341, 16283, 16286, 16348, 16345, 16287, 16290 -13608 , 16283, 16341, 16344, 16286, 16288, 16346, 16349, 16291 -13609 , 16347, 16344, 16286, 16289, 16351, 16348, 16290, 16293 -13610 , 16286, 16344, 16347, 16289, 16291, 16349, 16352, 16294 -13611 , 16350, 16347, 16289, 16292, 16354, 16351, 16293, 16296 -13612 , 16289, 16347, 16350, 16292, 16294, 16352, 16355, 16297 -13613 , 16353, 16350, 16292, 16295, 16359, 16354, 16296, 16299 -13614 , 16292, 16350, 16353, 16295, 16297, 16355, 16360, 16300 -13615 , 16356, 16353, 16295, 16298, 16361, 16359, 16299, 16357 -13616 , 16295, 16353, 16356, 16298, 16300, 16360, 16363, 16358 -13617 , 16361, 16357, 16298, 16356, 16423, 16365, 16303, 16362 -13618 , 16298, 16356, 16362, 16303, 16358, 16363, 16424, 16364 -13619 , 16298, 16242, 16302, 16358, 16303, 16246, 16305, 16364 -13620 , 16303, 16298, 16242, 16246, 16365, 16357, 16301, 16304 -13621 , 8777, 8776, 8783, 8784, 16303, 16365, 16423, 16362 -13622 , 8777, 16303, 16362, 8784, 8778, 16364, 16424, 8785 -13623 , 8781, 8780, 8786, 8787, 16367, 16306, 16366, 16426 -13624 , 16366, 16306, 8780, 8786, 16427, 16368, 8782, 8788 -13625 , 16370, 16369, 16312, 16310, 16376, 16373, 16371, 16313 -13626 , 16312, 16369, 16370, 16310, 16372, 16374, 16377, 16314 -13627 , 16251, 16309, 16371, 16312, 16248, 16307, 16367, 16306 -13628 , 16306, 16367, 16371, 16312, 16366, 16426, 16373, 16369 -13629 , 16312, 16306, 16368, 16372, 16251, 16248, 16308, 16315 -13630 , 16368, 16306, 16312, 16372, 16427, 16366, 16369, 16374 -13631 , 16375, 16370, 16310, 16311, 16379, 16376, 16313, 16317 -13632 , 16310, 16370, 16375, 16311, 16314, 16377, 16380, 16318 -13633 , 16378, 16375, 16311, 16316, 16382, 16379, 16317, 16320 -13634 , 16311, 16375, 16378, 16316, 16318, 16380, 16383, 16321 -13635 , 16381, 16378, 16316, 16319, 16385, 16382, 16320, 16323 -13636 , 16316, 16378, 16381, 16319, 16321, 16383, 16386, 16324 -13637 , 16384, 16381, 16319, 16322, 16388, 16385, 16323, 16326 -13638 , 16319, 16381, 16384, 16322, 16324, 16386, 16389, 16327 -13639 , 16387, 16384, 16322, 16325, 16391, 16388, 16326, 16329 -13640 , 16322, 16384, 16387, 16325, 16327, 16389, 10988, 10985 -13641 , 16390, 16387, 16325, 16328, 16392, 16391, 16329, 16330 -13642 , 16325, 16387, 16390, 16328, 10985, 10988, 10986, 10984 -13643 , 16392, 16330, 16328, 16390, 10263, 10800, 10797, 10262 -13644 , 13018, 15759, 15766, 13079, 13080, 15840, 15843, 13114 -13645 , 15766, 15759, 13018, 13079, 15758, 15750, 13081, 13115 -13646 , 16393, 10632, 10992, 16331, 16395, 10654, 10824, 16333 -13647 , 10992, 10632, 16393, 16331, 10987, 10971, 10991, 16334 -13648 , 10992, 10824, 10654, 10632, 10814, 10813, 10633, 10630 -13649 , 16394, 16393, 16331, 16332, 16397, 16395, 16333, 16336 -13650 , 16331, 16393, 16394, 16332, 16334, 10991, 16398, 16337 -13651 , 16396, 16394, 16332, 16335, 16400, 16397, 16336, 16339 -13652 , 16332, 16394, 16396, 16335, 16337, 16398, 16401, 16340 -13653 , 16399, 16396, 16335, 16338, 16403, 16400, 16339, 16342 -13654 , 16335, 16396, 16399, 16338, 16340, 16401, 16404, 16343 -13655 , 16402, 16399, 16338, 16341, 16406, 16403, 16342, 16345 -13656 , 16338, 16399, 16402, 16341, 16343, 16404, 16407, 16346 -13657 , 16405, 16402, 16341, 16344, 16409, 16406, 16345, 16348 -13658 , 16341, 16402, 16405, 16344, 16346, 16407, 16410, 16349 -13659 , 16408, 16405, 16344, 16347, 16412, 16409, 16348, 16351 -13660 , 16344, 16405, 16408, 16347, 16349, 16410, 16413, 16352 -13661 , 16411, 16408, 16347, 16350, 16415, 16412, 16351, 16354 -13662 , 16347, 16408, 16411, 16350, 16352, 16413, 16416, 16355 -13663 , 16414, 16411, 16350, 16353, 16418, 16415, 16354, 16359 -13664 , 16350, 16411, 16414, 16353, 16355, 16416, 16419, 16360 -13665 , 16417, 16414, 16353, 16356, 16420, 16418, 16359, 16361 -13666 , 16353, 16414, 16417, 16356, 16360, 16419, 16422, 16363 -13667 , 16420, 16361, 16356, 16417, 16479, 16423, 16362, 16421 -13668 , 16356, 16417, 16421, 16362, 16363, 16422, 16480, 16424 -13669 , 13079, 15766, 15769, 13113, 13114, 15843, 15846, 13142 -13670 , 15769, 15766, 13079, 13113, 15765, 15758, 13115, 13143 -13671 , 8784, 8783, 8789, 8790, 16362, 16423, 16479, 16421 -13672 , 8784, 16362, 16421, 8790, 8785, 16424, 16480, 8791 -13673 , 8792, 8786, 8793, 8794, 16369, 16366, 16425, 16428 -13674 , 8787, 8786, 8792, 8795, 16426, 16366, 16369, 16373 -13675 , 16425, 16366, 8786, 8793, 16481, 16427, 8788, 8796 -13676 , 8795, 8792, 8794, 8797, 16373, 16369, 16428, 16483 -13677 , 16430, 16429, 16370, 16375, 16434, 16431, 16376, 16379 -13678 , 16370, 16429, 16430, 16375, 16377, 16432, 16435, 16380 -13679 , 16370, 16376, 16431, 16429, 16369, 16373, 16483, 16428 -13680 , 16369, 16428, 16429, 16370, 16374, 16484, 16432, 16377 -13681 , 16433, 16430, 16375, 16378, 16437, 16434, 16379, 16382 -13682 , 16375, 16430, 16433, 16378, 16380, 16435, 16438, 16383 -13683 , 16436, 16433, 16378, 16381, 16440, 16437, 16382, 16385 -13684 , 16378, 16433, 16436, 16381, 16383, 16438, 16441, 16386 -13685 , 16439, 16436, 16381, 16384, 16443, 16440, 16385, 16388 -13686 , 16381, 16436, 16439, 16384, 16386, 16441, 16444, 16389 -13687 , 16442, 16439, 16384, 16387, 16446, 16443, 16388, 16391 -13688 , 16384, 16439, 16442, 16387, 16389, 16444, 16447, 10988 -13689 , 16445, 16442, 16387, 16390, 16448, 16446, 16391, 16392 -13690 , 16387, 16442, 16445, 16390, 10988, 16447, 10989, 10986 -13691 , 10310, 16445, 16390, 10262, 10303, 16448, 16392, 10263 -13692 , 16390, 16445, 10310, 10262, 10986, 10989, 10983, 10884 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16410, 16466, 16469, 16413 -13709 , 16467, 16464, 16408, 16411, 16471, 16468, 16412, 16415 -13710 , 16408, 16464, 16467, 16411, 16413, 16469, 16472, 16416 -13711 , 16470, 16467, 16411, 16414, 16474, 16471, 16415, 16418 -13712 , 16411, 16467, 16470, 16414, 16416, 16472, 16475, 16419 -13713 , 16473, 16470, 16414, 16417, 16476, 16474, 16418, 16420 -13714 , 16414, 16470, 16473, 16417, 16419, 16475, 16478, 16422 -13715 , 16476, 16420, 16417, 16473, 16531, 16479, 16421, 16477 -13716 , 16417, 16473, 16477, 16421, 16422, 16478, 16532, 16480 -13717 , 8790, 8789, 8798, 8799, 16421, 16479, 16531, 16477 -13718 , 8790, 16421, 16477, 8799, 8791, 16480, 16532, 8800 -13719 , 16425, 8793, 8794, 16428, 16481, 8796, 8801, 16484 -13720 , 8797, 8794, 8802, 8803, 16483, 16428, 16482, 16533 -13721 , 16482, 16428, 8794, 8802, 16534, 16484, 8801, 8804 -13722 , 16429, 16485, 16486, 16430, 16432, 16487, 16490, 16435 -13723 , 16486, 16485, 16429, 16430, 16491, 16488, 16431, 16434 -13724 , 16484, 16428, 16429, 16432, 16534, 16482, 16485, 16487 -13725 , 16485, 16482, 16428, 16429, 16488, 16533, 16483, 16431 -13726 , 16430, 16434, 16437, 16433, 16486, 16491, 16493, 16489 -13727 , 16430, 16486, 16489, 16433, 16435, 16490, 16494, 16438 -13728 , 8614, 8613, 8615, 8631, 15607, 15591, 15663, 15665 -13729 , 16433, 16437, 16440, 16436, 16489, 16493, 16496, 16492 -13730 , 16433, 16489, 16492, 16436, 16438, 16494, 16497, 16441 -13731 , 16495, 16492, 16436, 16439, 16499, 16496, 16440, 16443 -13732 , 16436, 16492, 16495, 16439, 16441, 16497, 16500, 16444 -13733 , 16498, 16495, 16439, 16442, 16502, 16499, 16443, 16446 -13734 , 16439, 16495, 16498, 16442, 16444, 16500, 16503, 16447 -13735 , 16501, 16498, 16442, 16445, 16504, 16502, 16446, 16448 -13736 , 16442, 16498, 16501, 16445, 16447, 16503, 16506, 10989 -13737 , 13141, 15772, 15775, 13199, 13200, 15849, 15852, 13224 -13738 , 15775, 15772, 13141, 13199, 15689, 15682, 13201, 13225 -13739 , 16504, 16448, 16445, 16501, 10311, 10303, 10310, 16505 -13740 , 16445, 16501, 16505, 10310, 10989, 16506, 16545, 10983 -13741 , 8805, 8806, 8807, 8808, 10310, 10270, 10275, 16505 -13742 , 8805, 8806, 10270, 10310, 8809, 8810, 10427, 10983 -13743 , 8805, 10310, 16505, 8808, 8809, 10983, 16545, 8811 -13744 , 11792, 10636, 10631, 16449, 16507, 10639, 10637, 16451 -13745 , 10631, 10636, 11792, 16449, 10973, 11267, 11791, 10990 -13746 , 11793, 11792, 16449, 16450, 16508, 16507, 16451, 16453 -13747 , 16449, 11792, 11793, 16450, 10990, 11791, 11794, 16454 -13748 , 11800, 11793, 16450, 16452, 16510, 16508, 16453, 16456 -13749 , 16450, 11793, 11800, 16452, 16454, 11794, 11799, 16457 -13750 , 16509, 11800, 16452, 16455, 16512, 16510, 16456, 16459 -13751 , 16452, 11800, 16509, 16455, 16457, 11799, 12234, 16460 -13752 , 16511, 16509, 16455, 16458, 16514, 16512, 16459, 16462 -13753 , 16455, 16509, 16511, 16458, 16460, 12234, 16515, 16463 -13754 , 16513, 16511, 16458, 16461, 16517, 16514, 16462, 16465 -13755 , 16458, 16511, 16513, 16461, 16463, 16515, 16518, 16466 -13756 , 16516, 16513, 16461, 16464, 16520, 16517, 16465, 16468 -13757 , 16461, 16513, 16516, 16464, 16466, 16518, 16521, 16469 -13758 , 16519, 16516, 16464, 16467, 16523, 16520, 16468, 16471 -13759 , 16464, 16516, 16519, 16467, 16469, 16521, 16524, 16472 -13760 , 16522, 16519, 16467, 16470, 16526, 16523, 16471, 16474 -13761 , 16467, 16519, 16522, 16470, 16472, 16524, 16527, 16475 -13762 , 13199, 15775, 15778, 13223, 13224, 15852, 15855, 13250 -13763 , 15778, 15775, 13199, 13223, 15695, 15689, 13225, 13251 -13764 , 16525, 16522, 16470, 16473, 16528, 16526, 16474, 16476 -13765 , 16470, 16522, 16525, 16473, 16475, 16527, 16530, 16478 -13766 , 16528, 16476, 16473, 16525, 16564, 16531, 16477, 16529 -13767 , 16473, 16525, 16529, 16477, 16478, 16530, 16565, 16532 -13768 , 8799, 8798, 8819, 8820, 16477, 16531, 16564, 16529 -13769 , 8799, 16477, 16529, 8820, 8800, 16532, 16565, 8821 -13770 , 8803, 8802, 8822, 8823, 16533, 16482, 16485, 16488 -13771 , 16485, 16482, 8802, 8822, 16487, 16534, 8804, 8824 -13772 , 8823, 8822, 8825, 8826, 16488, 16485, 16486, 16491 -13773 , 16486, 16485, 8822, 8825, 16490, 16487, 8824, 8827 -13774 , 8826, 8825, 8828, 8829, 16491, 16486, 16489, 16493 -13775 , 16489, 16486, 8825, 8828, 16494, 16490, 8827, 8830 -13776 , 8831, 8828, 8832, 8833, 16492, 16489, 16535, 16536 -13777 , 8829, 8828, 8831, 8834, 16493, 16489, 16492, 16496 -13778 , 16535, 16489, 8828, 8832, 16566, 16494, 8830, 8835 -13779 , 8834, 8831, 8833, 8836, 16496, 16492, 16536, 16567 -13780 , 16495, 16499, 16502, 16498, 16537, 16540, 16542, 16538 -13781 , 16495, 16537, 16538, 16498, 16500, 16539, 16543, 16503 -13782 , 16500, 16495, 16537, 16539, 16497, 16492, 16536, 16568 -13783 , 16537, 16536, 16492, 16495, 16540, 16567, 16496, 16499 -13784 , 16498, 16502, 16504, 16501, 16538, 16542, 16544, 16541 -13785 , 16498, 16538, 16541, 16501, 16503, 16543, 16546, 16506 -13786 , 16501, 16504, 10311, 16505, 16541, 16544, 16569, 16547 -13787 , 16506, 16501, 16505, 16545, 16546, 16541, 16547, 16570 -13788 , 8837, 8808, 8807, 8838, 10311, 16505, 10275, 10312 -13789 , 8808, 8837, 8839, 8840, 16505, 10311, 16569, 16547 -13790 , 8808, 16505, 16547, 8840, 8811, 16545, 16570, 8841 -13791 , 13223, 15778, 15781, 13249, 13250, 15855, 15858, 13276 -13792 , 15781, 15778, 13223, 13249, 15701, 15695, 13251, 13277 -13793 , 10636, 10639, 16507, 11792, 11804, 11806, 11807, 11795 -13794 , 11797, 11795, 11792, 11793, 11813, 11807, 16507, 16508 -13795 , 11801, 11797, 11793, 11800, 11819, 11813, 16508, 16510 -13796 , 11817, 11801, 11800, 16509, 11824, 11819, 16510, 16512 -13797 , 11800, 11801, 11817, 16509, 11799, 11802, 11818, 12234 -13798 , 11823, 11817, 16509, 16511, 16549, 11824, 16512, 16514 -13799 , 16509, 11817, 11823, 16511, 12234, 11818, 11827, 16515 -13800 , 16548, 11823, 16511, 16513, 16551, 16549, 16514, 16517 -13801 , 16511, 11823, 16548, 16513, 16515, 11827, 12235, 16518 -13802 , 16550, 16548, 16513, 16516, 16553, 16551, 16517, 16520 -13803 , 16513, 16548, 16550, 16516, 16518, 12235, 16554, 16521 -13804 , 16552, 16550, 16516, 16519, 16556, 16553, 16520, 16523 -13805 , 16516, 16550, 16552, 16519, 16521, 16554, 16557, 16524 -13806 , 16555, 16552, 16519, 16522, 16559, 16556, 16523, 16526 -13807 , 16519, 16552, 16555, 16522, 16524, 16557, 16560, 16527 -13808 , 16558, 16555, 16522, 16525, 16561, 16559, 16526, 16528 -13809 , 16522, 16555, 16558, 16525, 16527, 16560, 16562, 16530 -13810 , 16561, 16528, 16525, 16558, 16584, 16564, 16529, 16563 -13811 , 16558, 16525, 16530, 16562, 16563, 16529, 16565, 16581 -13812 , 8820, 8819, 8850, 8851, 16529, 16564, 16584, 16563 -13813 , 8820, 16529, 16563, 8851, 8821, 16565, 16581, 8852 -13814 , 16535, 8832, 8833, 16536, 16566, 8835, 8853, 16568 -13815 , 8836, 8833, 8854, 8855, 16567, 16536, 16537, 16540 -13816 , 16537, 16536, 8833, 8854, 16539, 16568, 8853, 8856 -13817 , 8855, 8854, 8857, 8858, 16540, 16537, 16538, 16542 -13818 , 16538, 16537, 8854, 8857, 16543, 16539, 8856, 8859 -13819 , 8858, 8857, 8860, 8861, 16542, 16538, 16541, 16544 -13820 , 16541, 16538, 8857, 8860, 16546, 16543, 8859, 8862 -13821 , 8861, 8860, 8840, 8839, 16544, 16541, 16547, 16569 -13822 , 16547, 16541, 8860, 8840, 16570, 16546, 8862, 8841 -13823 , 13249, 15781, 15784, 13275, 13276, 15858, 15861, 13295 -13824 , 15784, 15781, 13249, 13275, 15707, 15701, 13277, 13296 -13825 , 11849, 11822, 11823, 16548, 16572, 11845, 16549, 16551 -13826 , 11823, 11822, 11849, 16548, 11827, 11828, 11850, 12235 -13827 , 16571, 11849, 16548, 16550, 16574, 16572, 16551, 16553 -13828 , 16548, 11849, 16571, 16550, 12235, 11850, 12236, 16554 -13829 , 16573, 16571, 16550, 16552, 16576, 16574, 16553, 16556 -13830 , 16550, 16571, 16573, 16552, 16554, 12236, 16577, 16557 -13831 , 16575, 16573, 16552, 16555, 16579, 16576, 16556, 16559 -13832 , 16552, 16573, 16575, 16555, 16557, 16577, 16580, 16560 -13833 , 7194, 8647, 8650, 7292, 13285, 15628, 15631, 13437 -13834 , 16578, 16575, 16555, 16558, 16585, 16579, 16559, 16561 -13835 , 16555, 16575, 16578, 16558, 16560, 16580, 16582, 16562 -13836 , 16562, 16558, 16563, 16581, 16582, 16578, 16583, 16594 -13837 , 16583, 16578, 16558, 16563, 16593, 16585, 16561, 16584 -13838 , 8851, 8850, 8872, 8873, 16563, 16584, 16593, 16583 -13839 , 8851, 16563, 16583, 8873, 8852, 16581, 16594, 8874 -13840 , 13275, 15784, 15787, 13294, 13295, 15861, 15864, 13307 -13841 , 15787, 15784, 13275, 13294, 15711, 15707, 13296, 13308 -13842 , 11876, 11848, 11849, 16571, 16587, 11872, 16572, 16574 -13843 , 11849, 11848, 11876, 16571, 11850, 11853, 11877, 12236 -13844 , 16586, 11876, 16571, 16573, 16589, 16587, 16574, 16576 -13845 , 16571, 11876, 16586, 16573, 12236, 11877, 12237, 16577 -13846 , 16588, 16586, 16573, 16575, 16590, 16589, 16576, 16579 -13847 , 16573, 16586, 16588, 16575, 16577, 12237, 16592, 16580 -13848 , 16590, 16579, 16575, 16588, 16596, 16585, 16578, 16591 -13849 , 16575, 16588, 16591, 16578, 16580, 16592, 16598, 16582 -13850 , 8882, 8883, 8873, 8872, 16585, 16578, 16583, 16593 -13851 , 16583, 16578, 8883, 8873, 16594, 16582, 8884, 8874 -13852 , 8883, 8882, 8885, 8886, 16578, 16585, 16596, 16591 -13853 , 8883, 16578, 16591, 8886, 8884, 16582, 16598, 8887 -13854 , 13294, 15787, 15609, 13306, 13307, 15864, 15867, 13315 -13855 , 15609, 15787, 13294, 13306, 15596, 15711, 13308, 12248 -13856 , 11905, 11875, 11876, 16586, 11998, 11901, 16587, 16589 -13857 , 11876, 11875, 11905, 16586, 11877, 11880, 11906, 12237 -13858 , 16595, 11905, 16586, 16588, 16597, 11998, 16589, 16590 -13859 , 16586, 11905, 16595, 16588, 12237, 11906, 16599, 16592 -13860 , 16588, 16590, 16596, 16591, 16595, 16597, 16602, 16600 -13861 , 16592, 16588, 16591, 16598, 16599, 16595, 16600, 16603 -13862 , 8886, 8885, 8893, 8894, 16591, 16596, 16602, 16600 -13863 , 8886, 16591, 16600, 8894, 8887, 16598, 16603, 8895 -13864 , 13306, 15609, 15594, 12244, 13315, 15867, 15870, 13319 -13865 , 11906, 11905, 16595, 16599, 12232, 11904, 16601, 16605 -13866 , 16601, 11904, 11905, 16595, 16604, 11997, 11998, 16597 -13867 , 8901, 8902, 8894, 8893, 16597, 16595, 16600, 16602 -13868 , 16600, 16595, 8902, 8894, 16603, 16599, 8903, 8895 -13869 , 8902, 8901, 8904, 8905, 16595, 16597, 16604, 16601 -13870 , 8902, 16595, 16601, 8905, 8903, 16599, 16605, 8906 -13871 , 8918, 8912, 8905, 8904, 11997, 11904, 16601, 16604 -13872 , 16601, 11904, 8912, 8905, 16605, 12232, 8916, 8906 -13873 , 12244, 15594, 15599, 12294, 13319, 15870, 15873, 13322 -13874 , 12294, 15599, 15669, 12382, 13322, 15873, 15876, 13323 -13875 , 8636, 8635, 8639, 8959, 15615, 15612, 15666, 15678 -13876 , 8640, 8636, 8959, 8960, 15618, 15615, 15678, 15679 -13877 , 8643, 8640, 8960, 8961, 15621, 15618, 15679, 15687 -13878 , 12382, 15669, 15762, 12453, 13323, 15876, 15879, 13338 -13879 , 8645, 8643, 8961, 8962, 15625, 15621, 15687, 15693 -13880 , 8648, 8645, 8962, 8963, 15627, 15625, 15693, 15698 -13881 , 8651, 8648, 8963, 8964, 15630, 15627, 15698, 15704 -13882 , 8652, 8651, 8964, 8965, 15633, 15630, 15704, 15709 -13883 , 8655, 8652, 8965, 8966, 15636, 15633, 15709, 15712 -13884 , 8655, 8967, 8968, 8658, 15636, 16606, 16607, 15640 -13885 , 8967, 8655, 8966, 8969, 16606, 15636, 15712, 16621 -13886 , 8658, 8968, 8970, 8661, 15640, 16607, 16608, 15643 -13887 , 8664, 8661, 8971, 8671, 15647, 15643, 15717, 15721 -13888 , 8661, 8970, 8972, 8971, 15643, 16608, 16624, 15717 -13889 , 8680, 8973, 8974, 8681, 15657, 16609, 16610, 15660 -13890 , 8973, 8680, 8684, 8975, 16609, 15657, 15742, 16629 -13891 , 8681, 8974, 8976, 8685, 15660, 16610, 16611, 15662 -13892 , 8685, 8976, 8977, 8687, 15662, 16611, 16612, 15664 -13893 , 8687, 8977, 8978, 8639, 15664, 16612, 16613, 15666 -13894 , 8639, 8978, 8979, 8959, 15666, 16613, 16614, 15678 -13895 , 8959, 8979, 8980, 8960, 15678, 16614, 16615, 15679 -13896 , 8960, 8980, 8981, 8961, 15679, 16615, 16616, 15687 -13897 , 8961, 8981, 8982, 8962, 15687, 16616, 16617, 15693 -13898 , 8962, 8982, 8983, 8963, 15693, 16617, 16618, 15698 -13899 , 8963, 8983, 8984, 8964, 15698, 16618, 16619, 15704 -13900 , 8964, 8984, 8985, 8965, 15704, 16619, 16620, 15709 -13901 , 12453, 15762, 15801, 12524, 13338, 15879, 15884, 13368 -13902 , 8965, 8985, 8969, 8966, 15709, 16620, 16621, 15712 -13903 , 15718, 15715, 15712, 15714, 16623, 16651, 16621, 16622 -13904 , 15720, 15718, 15714, 15717, 16654, 16623, 16622, 16624 -13905 , 15714, 15712, 15636, 15640, 16622, 16621, 16606, 16607 -13906 , 15717, 15714, 15640, 15643, 16624, 16622, 16607, 16608 -13907 , 8971, 8972, 8986, 8671, 15717, 16624, 16625, 15721 -13908 , 8671, 8986, 8987, 8688, 15721, 16625, 16626, 15725 -13909 , 8689, 8688, 8988, 8696, 15729, 15725, 15798, 15804 -13910 , 8688, 8987, 8989, 8988, 15725, 16626, 16659, 15798 -13911 , 8700, 8699, 8706, 8990, 15738, 15736, 15816, 15823 -13912 , 8700, 8991, 8992, 8707, 15738, 16627, 16628, 15740 -13913 , 8991, 8700, 8990, 8993, 16627, 15738, 15823, 16664 -13914 , 8707, 8992, 8975, 8684, 15740, 16628, 16629, 15742 -13915 , 15760, 15753, 15747, 15748, 16634, 16632, 16630, 16631 -13916 , 15748, 15747, 15660, 15662, 16631, 16630, 16610, 16611 -13917 , 15753, 15830, 15742, 15747, 16632, 16666, 16629, 16630 -13918 , 15747, 15742, 15657, 15660, 16630, 16629, 16609, 16610 -13919 , 15767, 15760, 15748, 15757, 16636, 16634, 16631, 16633 -13920 , 15757, 15748, 15662, 15664, 16633, 16631, 16611, 16612 -13921 , 15770, 15767, 15757, 15764, 16638, 16636, 16633, 16635 -13922 , 15764, 15757, 15664, 15666, 16635, 16633, 16612, 16613 -13923 , 15773, 15770, 15764, 15681, 16640, 16638, 16635, 16637 -13924 , 16637, 16635, 15764, 15681, 16614, 16613, 15666, 15678 -13925 , 15776, 15773, 15681, 15688, 16642, 16640, 16637, 16639 -13926 , 16639, 16637, 15681, 15688, 16615, 16614, 15678, 15679 -13927 , 15779, 15776, 15688, 15694, 16644, 16642, 16639, 16641 -13928 , 15694, 15688, 15679, 15687, 16641, 16639, 16615, 16616 -13929 , 15782, 15779, 15694, 15700, 16646, 16644, 16641, 16643 -13930 , 15700, 15694, 15687, 15693, 16643, 16641, 16616, 16617 -13931 , 15785, 15782, 15700, 15706, 16648, 16646, 16643, 16645 -13932 , 15706, 15700, 15693, 15698, 16645, 16643, 16617, 16618 -13933 , 15788, 15785, 15706, 15710, 16650, 16648, 16645, 16647 -13934 , 15710, 15706, 15698, 15704, 16647, 16645, 16618, 16619 -13935 , 12524, 15801, 15882, 12596, 13368, 15884, 15890, 13395 -13936 , 15789, 15788, 15710, 15713, 16652, 16650, 16647, 16649 -13937 , 16649, 16647, 15710, 15713, 16620, 16619, 15704, 15709 -13938 , 15790, 15789, 15713, 15715, 16653, 16652, 16649, 16651 -13939 , 16651, 16649, 15713, 15715, 16621, 16620, 15709, 15712 -13940 , 15792, 15790, 15715, 15718, 16655, 16653, 16651, 16623 -13941 , 15795, 15792, 15718, 15720, 16657, 16655, 16623, 16654 -13942 , 15799, 15795, 15720, 15794, 16658, 16657, 16654, 16656 -13943 , 15794, 15720, 15717, 15721, 16656, 16654, 16624, 16625 -13944 , 15802, 15799, 15794, 15798, 16683, 16658, 16656, 16659 -13945 , 15798, 15794, 15721, 15725, 16659, 16656, 16625, 16626 -13946 , 8988, 8989, 8994, 8696, 15798, 16659, 16660, 15804 -13947 , 8696, 8994, 8995, 8708, 15804, 16660, 16661, 15807 -13948 , 8711, 8708, 8996, 8714, 15810, 15807, 15889, 15896 -13949 , 8708, 8995, 8997, 8996, 15807, 16661, 16688, 15889 -13950 , 8717, 8998, 8999, 8706, 15814, 16662, 16663, 15816 -13951 , 8998, 8717, 8720, 9000, 16662, 15814, 15905, 16691 -13952 , 8706, 8999, 8993, 8990, 15816, 16663, 16664, 15823 -13953 , 15835, 15832, 15824, 15830, 16668, 16667, 16665, 16666 -13954 , 15830, 15824, 15740, 15742, 16666, 16665, 16628, 16629 -13955 , 15832, 15827, 15823, 15824, 16667, 16693, 16664, 16665 -13956 , 15824, 15823, 15738, 15740, 16665, 16664, 16627, 16628 -13957 , 15838, 15835, 15830, 15753, 16669, 16668, 16666, 16632 -13958 , 15841, 15838, 15753, 15760, 16670, 16669, 16632, 16634 -13959 , 15844, 15841, 15760, 15767, 16671, 16670, 16634, 16636 -13960 , 15847, 15844, 15767, 15770, 16672, 16671, 16636, 16638 -13961 , 15850, 15847, 15770, 15773, 16673, 16672, 16638, 16640 -13962 , 15853, 15850, 15773, 15776, 16674, 16673, 16640, 16642 -13963 , 12596, 15882, 15888, 13394, 13395, 15890, 15893, 13419 -13964 , 15856, 15853, 15776, 15779, 16675, 16674, 16642, 16644 -13965 , 15859, 15856, 15779, 15782, 16676, 16675, 16644, 16646 -13966 , 15862, 15859, 15782, 15785, 16677, 16676, 16646, 16648 -13967 , 15865, 15862, 15785, 15788, 16678, 16677, 16648, 16650 -13968 , 15868, 15865, 15788, 15789, 16679, 16678, 16650, 16652 -13969 , 15871, 15868, 15789, 15790, 16680, 16679, 16652, 16653 -13970 , 15874, 15871, 15790, 15792, 16681, 16680, 16653, 16655 -13971 , 15877, 15874, 15792, 15795, 16682, 16681, 16655, 16657 -13972 , 15880, 15877, 15795, 15799, 16684, 16682, 16657, 16658 -13973 , 15885, 15880, 15799, 15802, 16686, 16684, 16658, 16683 -13974 , 15891, 15885, 15802, 15883, 16687, 16686, 16683, 16685 -13975 , 15883, 15802, 15798, 15804, 16685, 16683, 16659, 16660 -13976 , 15894, 15891, 15883, 15889, 16714, 16687, 16685, 16688 -13977 , 15889, 15883, 15804, 15807, 16688, 16685, 16660, 16661 -13978 , 8996, 8997, 9001, 8714, 15889, 16688, 16689, 15896 -13979 , 8721, 8714, 9002, 8724, 15899, 15896, 15975, 15983 -13980 , 8714, 9001, 9003, 9002, 15896, 16689, 16717, 15975 -13981 , 8728, 9004, 9000, 8720, 15903, 16690, 16691, 15905 -13982 , 9004, 8728, 8731, 9005, 16690, 15903, 15992, 16721 -13983 , 15915, 15912, 15909, 15827, 16695, 16694, 16692, 16693 -13984 , 16693, 16692, 15909, 15827, 16664, 16663, 15816, 15823 -13985 , 15912, 15996, 15905, 15909, 16694, 16722, 16691, 16692 -13986 , 15909, 15905, 15814, 15816, 16692, 16691, 16662, 16663 -13987 , 15918, 15915, 15827, 15832, 16696, 16695, 16693, 16667 -13988 , 15921, 15918, 15832, 15835, 16697, 16696, 16667, 16668 -13989 , 15893, 15888, 13394, 13419, 15976, 15895, 13420, 13793 -13990 , 15888, 15806, 12600, 13394, 15895, 15809, 12727, 13420 -13991 , 15924, 15921, 15835, 15838, 16698, 16697, 16668, 16669 -13992 , 15927, 15924, 15838, 15841, 16699, 16698, 16669, 16670 -13993 , 15930, 15927, 15841, 15844, 16700, 16699, 16670, 16671 -13994 , 15933, 15930, 15844, 15847, 16701, 16700, 16671, 16672 -13995 , 15936, 15933, 15847, 15850, 16702, 16701, 16672, 16673 -13996 , 15939, 15936, 15850, 15853, 16703, 16702, 16673, 16674 -13997 , 15942, 15939, 15853, 15856, 16704, 16703, 16674, 16675 -13998 , 15945, 15942, 15856, 15859, 16705, 16704, 16675, 16676 -13999 , 15948, 15945, 15859, 15862, 16706, 16705, 16676, 16677 -14000 , 15951, 15948, 15862, 15865, 16707, 16706, 16677, 16678 -14001 , 15954, 15951, 15865, 15868, 16708, 16707, 16678, 16679 -14002 , 15957, 15954, 15868, 15871, 16709, 16708, 16679, 16680 -14003 , 15960, 15957, 15871, 15874, 16710, 16709, 16680, 16681 -14004 , 15963, 15960, 15874, 15877, 16711, 16710, 16681, 16682 -14005 , 15966, 15963, 15877, 15880, 16712, 16711, 16682, 16684 -14006 , 15969, 15966, 15880, 15885, 16713, 16712, 16684, 16686 -14007 , 7292, 8650, 8654, 7427, 13437, 15631, 15634, 13613 -14008 , 15972, 15969, 15885, 15891, 16715, 16713, 16686, 16687 -14009 , 15977, 15972, 15891, 15894, 16716, 16715, 16687, 16714 -14010 , 15980, 15977, 15894, 15975, 16745, 16716, 16714, 16717 -14011 , 15975, 15894, 15889, 15896, 16717, 16714, 16688, 16689 -14012 , 9002, 9003, 9006, 8724, 15975, 16717, 16718, 15983 -14013 , 7159, 8713, 8723, 7429, 13420, 15895, 15900, 13464 -14014 , 8724, 9006, 9007, 8733, 15983, 16718, 16719, 15986 -14015 , 8733, 9007, 9008, 8736, 15986, 16719, 16750, 16075 -14016 , 8740, 9009, 9005, 8731, 15990, 16720, 16721, 15992 -14017 , 9009, 8740, 8743, 9010, 16720, 15990, 16085, 16751 -14018 , 16002, 15999, 15996, 15912, 16724, 16723, 16722, 16694 -14019 , 15999, 16089, 15992, 15996, 16723, 16752, 16721, 16722 -14020 , 15996, 15992, 15903, 15905, 16722, 16721, 16690, 16691 -14021 , 16005, 16002, 15912, 15915, 16725, 16724, 16694, 16695 -14022 , 16008, 16005, 15915, 15918, 16726, 16725, 16695, 16696 -14023 , 16011, 16008, 15918, 15921, 16727, 16726, 16696, 16697 -14024 , 16014, 16011, 15921, 15924, 16728, 16727, 16697, 16698 -14025 , 16017, 16014, 15924, 15927, 16729, 16728, 16698, 16699 -14026 , 16020, 16017, 15927, 15930, 16730, 16729, 16699, 16700 -14027 , 16023, 16020, 15930, 15933, 16731, 16730, 16700, 16701 -14028 , 16026, 16023, 15933, 15936, 16732, 16731, 16701, 16702 -14029 , 16029, 16026, 15936, 15939, 16733, 16732, 16702, 16703 -14030 , 16032, 16029, 15939, 15942, 16734, 16733, 16703, 16704 -14031 , 16035, 16032, 15942, 15945, 16735, 16734, 16704, 16705 -14032 , 16038, 16035, 15945, 15948, 16736, 16735, 16705, 16706 -14033 , 16041, 16038, 15948, 15951, 16737, 16736, 16706, 16707 -14034 , 16044, 16041, 15951, 15954, 16738, 16737, 16707, 16708 -14035 , 16047, 16044, 15954, 15957, 16739, 16738, 16708, 16709 -14036 , 7429, 8723, 8726, 7434, 13464, 15900, 15982, 13814 -14037 , 16050, 16047, 15957, 15960, 16740, 16739, 16709, 16710 -14038 , 16053, 16050, 15960, 15963, 16741, 16740, 16710, 16711 -14039 , 16056, 16053, 15963, 15966, 16742, 16741, 16711, 16712 -14040 , 16059, 16056, 15966, 15969, 16743, 16742, 16712, 16713 -14041 , 16062, 16059, 15969, 15972, 16744, 16743, 16713, 16715 -14042 , 16065, 16062, 15972, 15977, 16746, 16744, 16715, 16716 -14043 , 16070, 16065, 15977, 15980, 16748, 16746, 16716, 16745 -14044 , 16073, 16070, 15980, 16068, 16749, 16748, 16745, 16747 -14045 , 16068, 15980, 15975, 15983, 16747, 16745, 16717, 16718 -14046 , 16163, 16073, 16068, 16075, 16779, 16749, 16747, 16750 -14047 , 16075, 16068, 15983, 15986, 16750, 16747, 16718, 16719 -14048 , 8745, 8736, 9011, 8748, 16079, 16075, 16163, 16171 -14049 , 8736, 9008, 9012, 9011, 16075, 16750, 16779, 16163 -14050 , 8743, 8752, 8755, 9013, 16085, 16083, 16173, 16177 -14051 , 9010, 8743, 9013, 9014, 16751, 16085, 16177, 16781 -14052 , 16095, 16092, 16089, 15999, 16754, 16753, 16752, 16723 -14053 , 16092, 16177, 16085, 16089, 16753, 16781, 16751, 16752 -14054 , 16089, 16085, 15990, 15992, 16752, 16751, 16720, 16721 -14055 , 16098, 16095, 15999, 16002, 16755, 16754, 16723, 16724 -14056 , 16101, 16098, 16002, 16005, 16756, 16755, 16724, 16725 -14057 , 16104, 16101, 16005, 16008, 16757, 16756, 16725, 16726 -14058 , 16107, 16104, 16008, 16011, 16758, 16757, 16726, 16727 -14059 , 16110, 16107, 16011, 16014, 16759, 16758, 16727, 16728 -14060 , 16112, 16110, 16014, 16017, 16760, 16759, 16728, 16729 -14061 , 7439, 8729, 8718, 7174, 13486, 15904, 15906, 13507 -14062 , 8729, 7439, 7440, 8732, 15904, 13486, 13895, 15993 -14063 , 16114, 16112, 16017, 16020, 16761, 16760, 16729, 16730 -14064 , 16116, 16114, 16020, 16023, 16762, 16761, 16730, 16731 -14065 , 16118, 16116, 16023, 16026, 16763, 16762, 16731, 16732 -14066 , 16121, 16118, 16026, 16029, 16764, 16763, 16732, 16733 -14067 , 16124, 16121, 16029, 16032, 16765, 16764, 16733, 16734 -14068 , 16127, 16124, 16032, 16035, 16766, 16765, 16734, 16735 -14069 , 16130, 16127, 16035, 16038, 16767, 16766, 16735, 16736 -14070 , 16133, 16130, 16038, 16041, 16768, 16767, 16736, 16737 -14071 , 16136, 16133, 16041, 16044, 16769, 16768, 16737, 16738 -14072 , 16139, 16136, 16044, 16047, 16770, 16769, 16738, 16739 -14073 , 16142, 16139, 16047, 16050, 16771, 16770, 16739, 16740 -14074 , 16145, 16142, 16050, 16053, 16772, 16771, 16740, 16741 -14075 , 16148, 16145, 16053, 16056, 16773, 16772, 16741, 16742 -14076 , 16151, 16148, 16056, 16059, 16774, 16773, 16742, 16743 -14077 , 16154, 16151, 16059, 16062, 16775, 16774, 16743, 16744 -14078 , 16157, 16154, 16062, 16065, 16776, 16775, 16744, 16746 -14079 , 16160, 16157, 16065, 16070, 16777, 16776, 16746, 16748 -14080 , 16165, 16160, 16070, 16073, 16778, 16777, 16748, 16749 -14081 , 16167, 16165, 16073, 16163, 16805, 16778, 16749, 16779 -14082 , 9011, 9012, 9015, 8748, 16163, 16779, 16780, 16171 -14083 , 8748, 9015, 9016, 8757, 16171, 16780, 16808, 16243 -14084 , 9013, 8755, 8761, 8772, 16177, 16173, 16249, 16180 -14085 , 9014, 9013, 8772, 9017, 16781, 16177, 16180, 16809 -14086 , 16185, 16182, 16092, 16095, 16783, 16782, 16753, 16754 -14087 , 16182, 16180, 16177, 16092, 16782, 16809, 16781, 16753 -14088 , 16188, 16185, 16095, 16098, 16784, 16783, 16754, 16755 -14089 , 16191, 16188, 16098, 16101, 16785, 16784, 16755, 16756 -14090 , 16194, 16191, 16101, 16104, 16786, 16785, 16756, 16757 -14091 , 16197, 16194, 16104, 16107, 16787, 16786, 16757, 16758 -14092 , 16199, 16197, 16107, 16110, 16788, 16787, 16758, 16759 -14093 , 16200, 16199, 16110, 16112, 16789, 16788, 16759, 16760 -14094 , 16201, 16200, 16112, 16114, 16790, 16789, 16760, 16761 -14095 , 10785, 16201, 16114, 16116, 16791, 16790, 16761, 16762 -14096 , 10788, 10785, 16116, 16118, 10819, 16791, 16762, 16763 -14097 , 10791, 10788, 16118, 16121, 10820, 10819, 16763, 16764 -14098 , 10794, 10791, 16121, 16124, 16792, 10820, 16764, 16765 -14099 , 16203, 10794, 16124, 16127, 16793, 16792, 16765, 16766 -14100 , 16205, 16203, 16127, 16130, 16794, 16793, 16766, 16767 -14101 , 16208, 16205, 16130, 16133, 16795, 16794, 16767, 16768 -14102 , 16211, 16208, 16133, 16136, 16796, 16795, 16768, 16769 -14103 , 16214, 16211, 16136, 16139, 16797, 16796, 16769, 16770 -14104 , 13525, 15910, 15826, 12899, 13526, 15913, 15916, 13547 -14105 , 13525, 15910, 15913, 13526, 13507, 15906, 15997, 13908 -14106 , 12855, 15815, 15910, 13525, 12790, 15813, 15906, 13507 -14107 , 16217, 16214, 16139, 16142, 16798, 16797, 16770, 16771 -14108 , 16220, 16217, 16142, 16145, 16799, 16798, 16771, 16772 -14109 , 16223, 16220, 16145, 16148, 16800, 16799, 16772, 16773 -14110 , 16226, 16223, 16148, 16151, 16801, 16800, 16773, 16774 -14111 , 16229, 16226, 16151, 16154, 16802, 16801, 16774, 16775 -14112 , 16232, 16229, 16154, 16157, 16803, 16802, 16775, 16776 -14113 , 16235, 16232, 16157, 16160, 16804, 16803, 16776, 16777 -14114 , 16238, 16235, 16160, 16165, 16806, 16804, 16777, 16778 -14115 , 16240, 16238, 16165, 16167, 16807, 16806, 16778, 16805 -14116 , 16807, 16805, 16167, 16240, 16827, 16808, 16243, 16301 -14117 , 16805, 16779, 16163, 16167, 16808, 16780, 16171, 16243 -14118 , 8757, 9016, 9018, 8767, 16243, 16808, 16827, 16301 -14119 , 9017, 8772, 8774, 9019, 16809, 16180, 16309, 16829 -14120 , 16257, 16254, 16182, 16185, 16811, 16810, 16782, 16783 -14121 , 16182, 16782, 16810, 16254, 16180, 16809, 16829, 16309 -14122 , 16260, 16257, 16185, 16188, 16812, 16811, 16783, 16784 -14123 , 16263, 16260, 16188, 16191, 16813, 16812, 16784, 16785 -14124 , 16266, 16263, 16191, 16194, 16814, 16813, 16785, 16786 -14125 , 16269, 16266, 16194, 16197, 16815, 16814, 16786, 16787 -14126 , 16270, 16269, 16197, 16199, 16816, 16815, 16787, 16788 -14127 , 10799, 16270, 16199, 16200, 16817, 16816, 16788, 16789 -14128 , 12899, 15826, 15831, 12949, 13547, 15916, 15919, 13559 -14129 , 10801, 10799, 16200, 16201, 10821, 16817, 16789, 16790 -14130 , 16201, 10801, 10277, 10785, 10778, 10779, 10780, 10781 -14131 , 10277, 10801, 16201, 10785, 10281, 10821, 16790, 16791 -14132 , 10531, 10289, 10794, 16203, 10322, 10290, 16792, 16793 -14133 , 10794, 10289, 10531, 16203, 10790, 10526, 10530, 10793 -14134 , 10590, 10531, 16203, 16205, 10822, 10322, 16793, 16794 -14135 , 10809, 10590, 16205, 16208, 10823, 10822, 16794, 16795 -14136 , 10812, 10809, 16208, 16211, 10826, 10823, 16795, 16796 -14137 , 10825, 10812, 16211, 16214, 10832, 10826, 16796, 16797 -14138 , 16275, 10825, 16214, 16217, 16818, 10832, 16797, 16798 -14139 , 16278, 16275, 16217, 16220, 16819, 16818, 16798, 16799 -14140 , 16281, 16278, 16220, 16223, 16820, 16819, 16799, 16800 -14141 , 16284, 16281, 16223, 16226, 16821, 16820, 16800, 16801 -14142 , 16287, 16284, 16226, 16229, 16822, 16821, 16801, 16802 -14143 , 16290, 16287, 16229, 16232, 16823, 16822, 16802, 16803 -14144 , 16293, 16290, 16232, 16235, 16824, 16823, 16803, 16804 -14145 , 16296, 16293, 16235, 16238, 16825, 16824, 16804, 16806 -14146 , 16299, 16296, 16238, 16240, 16826, 16825, 16806, 16807 -14147 , 16826, 16807, 16240, 16299, 16846, 16827, 16301, 16357 -14148 , 12949, 15831, 15834, 12989, 13559, 15919, 15922, 13569 -14149 , 8775, 8767, 9020, 8776, 16304, 16301, 16357, 16365 -14150 , 8767, 9018, 9021, 9020, 16301, 16827, 16846, 16357 -14151 , 8779, 9022, 9019, 8774, 16307, 16828, 16829, 16309 -14152 , 9022, 8779, 8781, 9023, 16828, 16307, 16367, 16848 -14153 , 16317, 16313, 16254, 16257, 16831, 16830, 16810, 16811 -14154 , 16313, 16371, 16309, 16254, 16830, 16849, 16829, 16810 -14155 , 16320, 16317, 16257, 16260, 16832, 16831, 16811, 16812 -14156 , 16323, 16320, 16260, 16263, 16833, 16832, 16812, 16813 -14157 , 16326, 16323, 16263, 16266, 16834, 16833, 16813, 16814 -14158 , 16329, 16326, 16266, 16269, 16835, 16834, 16814, 16815 -14159 , 16330, 16329, 16269, 16270, 16836, 16835, 16815, 16816 -14160 , 10800, 16330, 16270, 10799, 10828, 16836, 16816, 16817 -14161 , 12989, 15834, 15837, 13019, 13569, 15922, 15925, 13589 -14162 , 16333, 10824, 10825, 16275, 16837, 10829, 10832, 16818 -14163 , 16336, 16333, 16275, 16278, 16838, 16837, 16818, 16819 -14164 , 16339, 16336, 16278, 16281, 16839, 16838, 16819, 16820 -14165 , 16342, 16339, 16281, 16284, 16840, 16839, 16820, 16821 -14166 , 16345, 16342, 16284, 16287, 16841, 16840, 16821, 16822 -14167 , 16348, 16345, 16287, 16290, 16842, 16841, 16822, 16823 -14168 , 16351, 16348, 16290, 16293, 16843, 16842, 16823, 16824 -14169 , 16354, 16351, 16293, 16296, 16844, 16843, 16824, 16825 -14170 , 16359, 16354, 16296, 16299, 16845, 16844, 16825, 16826 -14171 , 16361, 16359, 16299, 16357, 16866, 16845, 16826, 16846 -14172 , 9020, 9021, 9024, 8776, 16357, 16846, 16847, 16365 -14173 , 8776, 9024, 9025, 8783, 16365, 16847, 16869, 16423 -14174 , 9023, 8781, 8787, 9026, 16848, 16367, 16426, 16870 -14175 , 16376, 16373, 16371, 16313, 16851, 16850, 16849, 16830 -14176 , 16371, 16367, 16307, 16309, 16849, 16848, 16828, 16829 -14177 , 16373, 16426, 16367, 16371, 16850, 16870, 16848, 16849 -14178 , 16379, 16376, 16313, 16317, 16852, 16851, 16830, 16831 -14179 , 16382, 16379, 16317, 16320, 16853, 16852, 16831, 16832 -14180 , 16385, 16382, 16320, 16323, 16854, 16853, 16832, 16833 -14181 , 16388, 16385, 16323, 16326, 16855, 16854, 16833, 16834 -14182 , 16391, 16388, 16326, 16329, 16856, 16855, 16834, 16835 -14183 , 13019, 15837, 15840, 13080, 13589, 15925, 15928, 13599 -14184 , 16392, 16391, 16329, 16330, 16857, 16856, 16835, 16836 -14185 , 10263, 16392, 16330, 10800, 10304, 16857, 16836, 10828 -14186 , 16395, 10654, 10824, 16333, 16858, 10831, 10829, 16837 -14187 , 16397, 16395, 16333, 16336, 16859, 16858, 16837, 16838 -14188 , 16400, 16397, 16336, 16339, 16860, 16859, 16838, 16839 -14189 , 16403, 16400, 16339, 16342, 16861, 16860, 16839, 16840 -14190 , 16406, 16403, 16342, 16345, 16862, 16861, 16840, 16841 -14191 , 16409, 16406, 16345, 16348, 16863, 16862, 16841, 16842 -14192 , 16412, 16409, 16348, 16351, 16864, 16863, 16842, 16843 -14193 , 16415, 16412, 16351, 16354, 16865, 16864, 16843, 16844 -14194 , 13080, 15840, 15843, 13114, 13599, 15928, 15931, 13614 -14195 , 16418, 16415, 16354, 16359, 16867, 16865, 16844, 16845 -14196 , 16420, 16418, 16359, 16361, 16868, 16867, 16845, 16866 -14197 , 16479, 16420, 16361, 16423, 16888, 16868, 16866, 16869 -14198 , 16423, 16361, 16357, 16365, 16869, 16866, 16846, 16847 -14199 , 8783, 9025, 9027, 8789, 16423, 16869, 16888, 16479 -14200 , 9026, 8787, 8795, 9028, 16870, 16426, 16373, 16850 -14201 , 9028, 8795, 8797, 9029, 16850, 16373, 16483, 16889 -14202 , 16376, 16851, 16852, 16379, 16431, 16871, 16872, 16434 -14203 , 16373, 16850, 16851, 16376, 16483, 16889, 16871, 16431 -14204 , 16437, 16434, 16379, 16382, 16873, 16872, 16852, 16853 -14205 , 16440, 16437, 16382, 16385, 16874, 16873, 16853, 16854 -14206 , 16443, 16440, 16385, 16388, 16875, 16874, 16854, 16855 -14207 , 16446, 16443, 16388, 16391, 16876, 16875, 16855, 16856 -14208 , 16448, 16446, 16391, 16392, 16877, 16876, 16856, 16857 -14209 , 10303, 16448, 16392, 10263, 10309, 16877, 16857, 10304 -14210 , 7427, 8654, 8657, 7456, 13613, 15634, 15637, 13683 -14211 , 13114, 15843, 15846, 13142, 13614, 15931, 15934, 13629 -14212 , 16451, 10637, 10654, 16395, 16878, 10660, 10831, 16858 -14213 , 16453, 16451, 16395, 16397, 16879, 16878, 16858, 16859 -14214 , 16456, 16453, 16397, 16400, 16880, 16879, 16859, 16860 -14215 , 16459, 16456, 16400, 16403, 16881, 16880, 16860, 16861 -14216 , 16462, 16459, 16403, 16406, 16882, 16881, 16861, 16862 -14217 , 16465, 16462, 16406, 16409, 16883, 16882, 16862, 16863 -14218 , 16468, 16465, 16409, 16412, 16884, 16883, 16863, 16864 -14219 , 16471, 16468, 16412, 16415, 16885, 16884, 16864, 16865 -14220 , 16474, 16471, 16415, 16418, 16886, 16885, 16865, 16867 -14221 , 16476, 16474, 16418, 16420, 16887, 16886, 16867, 16868 -14222 , 16531, 16476, 16420, 16479, 16905, 16887, 16868, 16888 -14223 , 8789, 9027, 9030, 8798, 16479, 16888, 16905, 16531 -14224 , 9031, 8797, 8803, 8823, 16431, 16483, 16533, 16488 -14225 , 9029, 8797, 9031, 9032, 16889, 16483, 16431, 16871 -14226 , 9033, 9031, 8823, 8826, 16434, 16431, 16488, 16491 -14227 , 9032, 9031, 9033, 9034, 16871, 16431, 16434, 16872 -14228 , 9034, 9033, 8826, 9035, 16872, 16434, 16491, 16906 -14229 , 16437, 16873, 16874, 16440, 16493, 16890, 16891, 16496 -14230 , 16493, 16491, 16434, 16437, 16890, 16906, 16872, 16873 -14231 , 16440, 16874, 16875, 16443, 16496, 16891, 16892, 16499 -14232 , 13142, 15846, 15849, 13200, 13629, 15934, 15937, 13639 -14233 , 16502, 16499, 16443, 16446, 16893, 16892, 16875, 16876 -14234 , 16504, 16502, 16446, 16448, 16894, 16893, 16876, 16877 -14235 , 10311, 16504, 16448, 10303, 10355, 16894, 16877, 10309 -14236 , 10311, 10303, 10310, 16505, 10312, 10272, 10270, 10275 -14237 , 16507, 10639, 10637, 16451, 16895, 10661, 10660, 16878 -14238 , 16508, 16507, 16451, 16453, 16896, 16895, 16878, 16879 -14239 , 16510, 16508, 16453, 16456, 16897, 16896, 16879, 16880 -14240 , 16512, 16510, 16456, 16459, 16898, 16897, 16880, 16881 -14241 , 16514, 16512, 16459, 16462, 16899, 16898, 16881, 16882 -14242 , 16517, 16514, 16462, 16465, 16900, 16899, 16882, 16883 -14243 , 16520, 16517, 16465, 16468, 16901, 16900, 16883, 16884 -14244 , 13200, 15849, 15852, 13224, 13639, 15937, 15940, 13648 -14245 , 16523, 16520, 16468, 16471, 16902, 16901, 16884, 16885 -14246 , 16526, 16523, 16471, 16474, 16903, 16902, 16885, 16886 -14247 , 16528, 16526, 16474, 16476, 16904, 16903, 16886, 16887 -14248 , 16564, 16528, 16476, 16531, 16917, 16904, 16887, 16905 -14249 , 8798, 9030, 9036, 8819, 16531, 16905, 16917, 16564 -14250 , 9035, 8826, 8829, 9037, 16906, 16491, 16493, 16890 -14251 , 9037, 8829, 8834, 9038, 16890, 16493, 16496, 16891 -14252 , 9039, 8834, 8836, 8855, 16499, 16496, 16567, 16540 -14253 , 9038, 8834, 9039, 9040, 16891, 16496, 16499, 16892 -14254 , 9040, 9039, 8855, 9041, 16892, 16499, 16540, 16919 -14255 , 16502, 16893, 16894, 16504, 16542, 16907, 16908, 16544 -14256 , 16542, 16540, 16499, 16502, 16907, 16919, 16892, 16893 -14257 , 16504, 16894, 10355, 10311, 16544, 16908, 16920, 16569 -14258 , 8837, 8838, 9042, 8839, 10311, 10312, 10424, 16569 -14259 , 13224, 15852, 15855, 13250, 13648, 15940, 15943, 13661 -14260 , 11806, 10658, 10638, 10639, 16909, 10657, 10641, 10661 -14261 , 10638, 10658, 11806, 10639, 10635, 11184, 11804, 10636 -14262 , 11807, 11806, 10639, 16507, 16910, 16909, 10661, 16895 -14263 , 11813, 11807, 16507, 16508, 11964, 16910, 16895, 16896 -14264 , 11819, 11813, 16508, 16510, 11966, 11964, 16896, 16897 -14265 , 11824, 11819, 16510, 16512, 16911, 11966, 16897, 16898 -14266 , 16549, 11824, 16512, 16514, 16912, 16911, 16898, 16899 -14267 , 16551, 16549, 16514, 16517, 16913, 16912, 16899, 16900 -14268 , 16553, 16551, 16517, 16520, 16914, 16913, 16900, 16901 -14269 , 16556, 16553, 16520, 16523, 16915, 16914, 16901, 16902 -14270 , 16559, 16556, 16523, 16526, 16916, 16915, 16902, 16903 -14271 , 16561, 16559, 16526, 16528, 16918, 16916, 16903, 16904 -14272 , 16584, 16561, 16528, 16564, 16926, 16918, 16904, 16917 -14273 , 8819, 9036, 9045, 8850, 16564, 16917, 16926, 16584 -14274 , 9041, 8855, 8858, 9046, 16919, 16540, 16542, 16907 -14275 , 9046, 8858, 8861, 9047, 16907, 16542, 16544, 16908 -14276 , 9047, 8861, 8839, 9048, 16908, 16544, 16569, 16920 -14277 , 9048, 8839, 9042, 9049, 16920, 16569, 10424, 10363 -14278 , 13250, 15855, 15858, 13276, 13661, 15943, 15946, 13667 -14279 , 9049, 9042, 9043, 9050, 10363, 10424, 10317, 10364 -14280 , 9050, 9043, 9044, 9051, 10364, 10317, 10318, 10365 -14281 , 11808, 11830, 10658, 11806, 11971, 11969, 10657, 16909 -14282 , 10658, 10657, 11969, 11830, 10579, 10585, 10591, 10584 -14283 , 11810, 11808, 11806, 11807, 11973, 11971, 16909, 16910 -14284 , 11845, 11825, 11824, 16549, 16921, 11976, 16911, 16912 -14285 , 11824, 11825, 11845, 16549, 11817, 11816, 11822, 11823 -14286 , 16572, 11845, 16549, 16551, 16922, 16921, 16912, 16913 -14287 , 16574, 16572, 16551, 16553, 16923, 16922, 16913, 16914 -14288 , 16576, 16574, 16553, 16556, 16924, 16923, 16914, 16915 -14289 , 16579, 16576, 16556, 16559, 16925, 16924, 16915, 16916 -14290 , 16925, 16916, 16559, 16579, 16931, 16918, 16561, 16585 -14291 , 8850, 9056, 8882, 8872, 16584, 16561, 16585, 16593 -14292 , 9057, 9056, 8850, 9045, 16918, 16561, 16584, 16926 -14293 , 9056, 9057, 9058, 8882, 16561, 16918, 16931, 16585 -14294 , 13276, 15858, 15861, 13295, 13667, 15946, 15949, 13674 -14295 , 11872, 11851, 11845, 16572, 16927, 11984, 16921, 16922 -14296 , 11845, 11851, 11872, 16572, 11822, 11844, 11848, 11849 -14297 , 16587, 11872, 16572, 16574, 16928, 16927, 16922, 16923 -14298 , 16589, 16587, 16574, 16576, 16929, 16928, 16923, 16924 -14299 , 16590, 16589, 16576, 16579, 16930, 16929, 16924, 16925 -14300 , 16930, 16925, 16579, 16590, 16932, 16931, 16585, 16596 -14301 , 8882, 9058, 9061, 8885, 16585, 16931, 16932, 16596 -14302 , 13295, 15861, 15864, 13307, 13674, 15949, 15952, 13677 -14303 , 11901, 11878, 11872, 16587, 11999, 11994, 16927, 16928 -14304 , 11872, 11878, 11901, 16587, 11848, 11871, 11875, 11876 -14305 , 11998, 11901, 16587, 16589, 12060, 11999, 16928, 16929 -14306 , 16589, 16929, 16930, 16590, 11998, 12060, 16933, 16597 -14307 , 16602, 16597, 16590, 16596, 16934, 16933, 16930, 16932 -14308 , 8885, 9061, 9066, 8893, 16596, 16932, 16934, 16602 -14309 , 13307, 15864, 15867, 13315, 13677, 15952, 15955, 13679 -14310 , 8901, 9070, 8918, 8904, 16597, 11998, 11997, 16604 -14311 , 9071, 9070, 8901, 9072, 12060, 11998, 16597, 16933 -14312 , 9072, 8901, 8893, 9066, 16933, 16597, 16602, 16934 -14313 , 13315, 15867, 15870, 13319, 13679, 15955, 15958, 13680 -14314 , 13319, 15870, 15873, 13322, 13680, 15958, 15961, 13684 -14315 , 8968, 8967, 8969, 9090, 16607, 16606, 16621, 16622 -14316 , 8970, 8968, 9090, 8972, 16608, 16607, 16622, 16624 -14317 , 8974, 8973, 8975, 9091, 16610, 16609, 16629, 16630 -14318 , 8976, 8974, 9091, 9092, 16611, 16610, 16630, 16631 -14319 , 8977, 8976, 9092, 9093, 16612, 16611, 16631, 16633 -14320 , 8978, 8977, 9093, 9094, 16613, 16612, 16633, 16635 -14321 , 8978, 9095, 9096, 8979, 16613, 16935, 16936, 16614 -14322 , 9095, 8978, 9094, 9097, 16935, 16613, 16635, 16946 -14323 , 8979, 9096, 9098, 8980, 16614, 16936, 16937, 16615 -14324 , 7456, 8657, 8660, 7526, 13683, 15637, 15641, 13897 -14325 , 13322, 15873, 15876, 13323, 13684, 15961, 15964, 13698 -14326 , 8981, 8980, 9099, 9100, 16616, 16615, 16639, 16641 -14327 , 8980, 9098, 9101, 9099, 16615, 16937, 16949, 16639 -14328 , 8982, 8981, 9100, 9102, 16617, 16616, 16641, 16643 -14329 , 8983, 8982, 9102, 9103, 16618, 16617, 16643, 16645 -14330 , 8984, 8983, 9103, 9104, 16619, 16618, 16645, 16647 -14331 , 8984, 9105, 9106, 8985, 16619, 16938, 16939, 16620 -14332 , 9105, 8984, 9104, 9107, 16938, 16619, 16647, 16953 -14333 , 8985, 9106, 9108, 8969, 16620, 16939, 16940, 16621 -14334 , 8969, 9108, 9109, 9090, 16621, 16940, 16941, 16622 -14335 , 8972, 9090, 9110, 9111, 16624, 16622, 16623, 16654 -14336 , 9090, 9109, 9112, 9110, 16622, 16941, 16958, 16623 -14337 , 8986, 8972, 9111, 9113, 16625, 16624, 16654, 16656 -14338 , 8987, 8986, 9113, 8989, 16626, 16625, 16656, 16659 -14339 , 8992, 8991, 8993, 9114, 16628, 16627, 16664, 16665 -14340 , 8975, 8992, 9114, 9115, 16629, 16628, 16665, 16666 -14341 , 8975, 9116, 9117, 9091, 16629, 16942, 16943, 16630 -14342 , 9116, 8975, 9115, 9118, 16942, 16629, 16666, 16965 -14343 , 9091, 9117, 9119, 9092, 16630, 16943, 16944, 16631 -14344 , 9092, 9119, 9120, 9093, 16631, 16944, 16945, 16633 -14345 , 9093, 9120, 9097, 9094, 16633, 16945, 16946, 16635 -14346 , 16640, 16638, 16635, 16637, 16948, 16971, 16946, 16947 -14347 , 16642, 16640, 16637, 16639, 16974, 16948, 16947, 16949 -14348 , 16637, 16635, 16613, 16614, 16947, 16946, 16935, 16936 -14349 , 16639, 16637, 16614, 16615, 16949, 16947, 16936, 16937 -14350 , 9099, 9101, 9121, 9100, 16639, 16949, 16950, 16641 -14351 , 13323, 15876, 15879, 13338, 13698, 15964, 15967, 13722 -14352 , 9100, 9121, 9122, 9102, 16641, 16950, 16951, 16643 -14353 , 9102, 9122, 9123, 9103, 16643, 16951, 16952, 16645 -14354 , 9103, 9123, 9107, 9104, 16645, 16952, 16953, 16647 -14355 , 16653, 16652, 16649, 16651, 16957, 16956, 16954, 16955 -14356 , 16651, 16649, 16620, 16621, 16955, 16954, 16939, 16940 -14357 , 16652, 16650, 16647, 16649, 16956, 16982, 16953, 16954 -14358 , 16649, 16647, 16619, 16620, 16954, 16953, 16938, 16939 -14359 , 16655, 16653, 16651, 16623, 16986, 16957, 16955, 16958 -14360 , 16623, 16651, 16621, 16622, 16958, 16955, 16940, 16941 -14361 , 16654, 16623, 9110, 9111, 16959, 16958, 9112, 10044 -14362 , 16656, 16654, 9111, 9113, 16960, 16959, 10044, 10045 -14363 , 16659, 16656, 9113, 8989, 16961, 16960, 10045, 10046 -14364 , 8994, 8989, 9124, 9125, 16660, 16659, 16683, 16685 -14365 , 16683, 16659, 8989, 9124, 16993, 16961, 10046, 10047 -14366 , 8995, 8994, 9125, 8997, 16661, 16660, 16685, 16688 -14367 , 8999, 8998, 9000, 9126, 16663, 16662, 16691, 16692 -14368 , 8999, 9127, 9128, 8993, 16663, 16962, 16963, 16664 -14369 , 9127, 8999, 9126, 9129, 16962, 16663, 16692, 16997 -14370 , 8993, 9128, 9130, 9114, 16664, 16963, 16964, 16665 -14371 , 9114, 9130, 9118, 9115, 16665, 16964, 16965, 16666 -14372 , 16670, 16669, 16632, 16634, 16970, 16968, 16966, 16967 -14373 , 16634, 16632, 16630, 16631, 16967, 16966, 16943, 16944 -14374 , 16669, 16668, 16666, 16632, 16968, 17001, 16965, 16966 -14375 , 16632, 16666, 16629, 16630, 16966, 16965, 16942, 16943 -14376 , 16671, 16670, 16634, 16636, 16972, 16970, 16967, 16969 -14377 , 16969, 16967, 16634, 16636, 16945, 16944, 16631, 16633 -14378 , 16672, 16671, 16636, 16638, 16973, 16972, 16969, 16971 -14379 , 16971, 16969, 16636, 16638, 16946, 16945, 16633, 16635 -14380 , 13338, 15879, 15884, 13368, 13722, 15967, 15970, 13751 -14381 , 16673, 16672, 16638, 16640, 16975, 16973, 16971, 16948 -14382 , 16674, 16673, 16640, 16642, 16977, 16975, 16948, 16974 -14383 , 16675, 16674, 16642, 16644, 16979, 16977, 16974, 16976 -14384 , 16976, 16974, 16642, 16644, 16950, 16949, 16639, 16641 -14385 , 16676, 16675, 16644, 16646, 16981, 16979, 16976, 16978 -14386 , 16978, 16976, 16644, 16646, 16951, 16950, 16641, 16643 -14387 , 16677, 16676, 16646, 16648, 16983, 16981, 16978, 16980 -14388 , 16980, 16978, 16646, 16648, 16952, 16951, 16643, 16645 -14389 , 16678, 16677, 16648, 16650, 16984, 16983, 16980, 16982 -14390 , 16982, 16980, 16648, 16650, 16953, 16952, 16645, 16647 -14391 , 16679, 16678, 16650, 16652, 16985, 16984, 16982, 16956 -14392 , 16680, 16679, 16652, 16653, 16987, 16985, 16956, 16957 -14393 , 16681, 16680, 16653, 16655, 16989, 16987, 16957, 16986 -14394 , 16682, 16681, 16655, 16657, 16991, 16989, 16986, 16988 -14395 , 16988, 16986, 16655, 16657, 16959, 16958, 16623, 16654 -14396 , 16684, 16682, 16657, 16658, 16992, 16991, 16988, 16990 -14397 , 16990, 16988, 16657, 16658, 16960, 16959, 16654, 16656 -14398 , 16686, 16684, 16658, 16683, 17018, 16992, 16990, 16993 -14399 , 16990, 16960, 16656, 16658, 16993, 16961, 16659, 16683 -14400 , 16685, 16683, 9124, 9125, 16994, 16993, 10047, 10048 -14401 , 16688, 16685, 9125, 8997, 16995, 16994, 10048, 10049 -14402 , 9001, 8997, 9131, 9003, 16689, 16688, 16714, 16717 -14403 , 16714, 16688, 8997, 9131, 17023, 16995, 10049, 10050 -14404 , 9000, 9004, 9005, 9132, 16691, 16690, 16721, 16722 -14405 , 9000, 9133, 9129, 9126, 16691, 16996, 16997, 16692 -14406 , 9133, 9000, 9132, 9134, 16996, 16691, 16722, 17025 -14407 , 16696, 16695, 16693, 16667, 17002, 17000, 16998, 16999 -14408 , 16999, 16998, 16693, 16667, 16964, 16963, 16664, 16665 -14409 , 16695, 16694, 16692, 16693, 17000, 17026, 16997, 16998 -14410 , 16693, 16692, 16663, 16664, 16998, 16997, 16962, 16963 -14411 , 13368, 15884, 15890, 13395, 13751, 15970, 15973, 13775 -14412 , 16697, 16696, 16667, 16668, 17003, 17002, 16999, 17001 -14413 , 17001, 16999, 16667, 16668, 16965, 16964, 16665, 16666 -14414 , 16698, 16697, 16668, 16669, 17004, 17003, 17001, 16968 -14415 , 16699, 16698, 16669, 16670, 17005, 17004, 16968, 16970 -14416 , 16700, 16699, 16670, 16671, 17006, 17005, 16970, 16972 -14417 , 16701, 16700, 16671, 16672, 17007, 17006, 16972, 16973 -14418 , 16702, 16701, 16672, 16673, 17008, 17007, 16973, 16975 -14419 , 16703, 16702, 16673, 16674, 17009, 17008, 16975, 16977 -14420 , 16704, 16703, 16674, 16675, 17010, 17009, 16977, 16979 -14421 , 16705, 16704, 16675, 16676, 17011, 17010, 16979, 16981 -14422 , 16706, 16705, 16676, 16677, 17012, 17011, 16981, 16983 -14423 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16750 -14439 , 9005, 9009, 9010, 9137, 16721, 16720, 16751, 16752 -14440 , 9132, 9005, 9137, 9138, 16722, 16721, 16752, 16723 -14441 , 9134, 9132, 9138, 9139, 17025, 16722, 16723, 17052 -14442 , 16725, 16724, 16694, 16695, 17028, 17027, 17026, 17000 -14443 , 16724, 16723, 16722, 16694, 17027, 17052, 17025, 17026 -14444 , 16694, 16722, 16691, 16692, 17026, 17025, 16996, 16997 -14445 , 16726, 16725, 16695, 16696, 17029, 17028, 17000, 17002 -14446 , 16727, 16726, 16696, 16697, 17030, 17029, 17002, 17003 -14447 , 16728, 16727, 16697, 16698, 17031, 17030, 17003, 17004 -14448 , 16729, 16728, 16698, 16699, 17032, 17031, 17004, 17005 -14449 , 16730, 16729, 16699, 16700, 17033, 17032, 17005, 17006 -14450 , 16731, 16730, 16700, 16701, 17034, 17033, 17006, 17007 -14451 , 16732, 16731, 16701, 16702, 17035, 17034, 17007, 17008 -14452 , 16733, 16732, 16702, 16703, 17036, 17035, 17008, 17009 -14453 , 16734, 16733, 16703, 16704, 17037, 17036, 17009, 17010 -14454 , 16735, 16734, 16704, 16705, 17038, 17037, 17010, 17011 -14455 , 16736, 16735, 16705, 16706, 17039, 17038, 17011, 17012 -14456 , 16737, 16736, 16706, 16707, 17040, 17039, 17012, 17013 -14457 , 16738, 16737, 16707, 16708, 17041, 17040, 17013, 17014 -14458 , 13419, 15893, 15976, 13793, 13794, 15978, 15981, 13813 -14459 , 16739, 16738, 16708, 16709, 17042, 17041, 17014, 17015 -14460 , 16740, 16739, 16709, 16710, 17043, 17042, 17015, 17016 -14461 , 16741, 16740, 16710, 16711, 17044, 17043, 17016, 17017 -14462 , 16742, 16741, 16711, 16712, 17045, 17044, 17017, 17019 -14463 , 16743, 16742, 16712, 16713, 17046, 17045, 17019, 17021 -14464 , 16744, 16743, 16713, 16715, 17048, 17046, 17021, 17022 -14465 , 16746, 16744, 16715, 16716, 17049, 17048, 17022, 17047 -14466 , 16748, 16746, 16716, 16745, 17074, 17049, 17047, 17050 -14467 , 17047, 17023, 16714, 16716, 17050, 17024, 16717, 16745 -14468 , 16747, 16745, 9135, 9136, 17051, 17050, 10052, 10053 -14469 , 9008, 9136, 9140, 9012, 16750, 16747, 16749, 16779 -14470 , 16749, 16747, 9136, 9140, 17077, 17051, 10053, 9144 -14471 , 9137, 9010, 9014, 9141, 16752, 16751, 16781, 16753 -14472 , 9138, 9137, 9141, 9142, 16723, 16752, 16753, 16754 -14473 , 9139, 9138, 9142, 9143, 17052, 16723, 16754, 17081 -14474 , 16756, 16755, 16724, 16725, 17054, 17053, 17027, 17028 -14475 , 16724, 17027, 17053, 16755, 16723, 17052, 17081, 16754 -14476 , 16757, 16756, 16725, 16726, 17055, 17054, 17028, 17029 -14477 , 16758, 16757, 16726, 16727, 17056, 17055, 17029, 17030 -14478 , 16759, 16758, 16727, 16728, 17057, 17056, 17030, 17031 -14479 , 16760, 16759, 16728, 16729, 17058, 17057, 17031, 17032 -14480 , 16761, 16760, 16729, 16730, 17059, 17058, 17032, 17033 -14481 , 15981, 15976, 13793, 13813, 16069, 15982, 13814, 14243 -14482 , 15976, 15895, 13420, 13793, 15982, 15900, 13464, 13814 -14483 , 16762, 16761, 16730, 16731, 17060, 17059, 17033, 17034 -14484 , 16763, 16762, 16731, 16732, 17061, 17060, 17034, 17035 -14485 , 16764, 16763, 16732, 16733, 17062, 17061, 17035, 17036 -14486 , 16765, 16764, 16733, 16734, 17063, 17062, 17036, 17037 -14487 , 16766, 16765, 16734, 16735, 17064, 17063, 17037, 17038 -14488 , 16767, 16766, 16735, 16736, 17065, 17064, 17038, 17039 -14489 , 16768, 16767, 16736, 16737, 17066, 17065, 17039, 17040 -14490 , 16769, 16768, 16737, 16738, 17067, 17066, 17040, 17041 -14491 , 16770, 16769, 16738, 16739, 17068, 17067, 17041, 17042 -14492 , 16771, 16770, 16739, 16740, 17069, 17068, 17042, 17043 -14493 , 16772, 16771, 16740, 16741, 17070, 17069, 17043, 17044 -14494 , 16773, 16772, 16741, 16742, 17071, 17070, 17044, 17045 -14495 , 16774, 16773, 16742, 16743, 17072, 17071, 17045, 17046 -14496 , 16775, 16774, 16743, 16744, 17073, 17072, 17046, 17048 -14497 , 16776, 16775, 16744, 16746, 17075, 17073, 17048, 17049 -14498 , 16777, 16776, 16746, 16748, 17076, 17075, 17049, 17074 -14499 , 16778, 16777, 16748, 16749, 17104, 17076, 17074, 17077 -14500 , 17074, 17050, 16745, 16748, 17077, 17051, 16747, 16749 -14501 , 9140, 9144, 9145, 9012, 16749, 17077, 17078, 16779 -14502 , 9012, 9145, 9146, 9015, 16779, 17078, 17079, 16780 -14503 , 9015, 9146, 9147, 9016, 16780, 17079, 17109, 16808 -14504 , 7434, 8726, 8735, 7576, 13814, 15982, 15987, 13855 -14505 , 9141, 9014, 9017, 9148, 16753, 16781, 16809, 16782 -14506 , 9141, 9149, 9143, 9142, 16753, 17080, 17081, 16754 -14507 , 9149, 9141, 9148, 9150, 17080, 16753, 16782, 17111 -14508 , 16785, 16784, 16755, 16756, 17083, 17082, 17053, 17054 -14509 , 16784, 16783, 16754, 16755, 17082, 17112, 17081, 17053 -14510 , 16786, 16785, 16756, 16757, 17084, 17083, 17054, 17055 -14511 , 16787, 16786, 16757, 16758, 17085, 17084, 17055, 17056 -14512 , 16788, 16787, 16758, 16759, 17086, 17085, 17056, 17057 -14513 , 16789, 16788, 16759, 16760, 17087, 17086, 17057, 17058 -14514 , 16790, 16789, 16760, 16761, 17088, 17087, 17058, 17059 -14515 , 16791, 16790, 16761, 16762, 17089, 17088, 17059, 17060 -14516 , 10819, 16791, 16762, 16763, 17090, 17089, 17060, 17061 -14517 , 10820, 10819, 16763, 16764, 17091, 17090, 17061, 17062 -14518 , 16792, 10820, 16764, 16765, 17092, 17091, 17062, 17063 -14519 , 16793, 16792, 16765, 16766, 17093, 17092, 17063, 17064 -14520 , 16794, 16793, 16766, 16767, 17094, 17093, 17064, 17065 -14521 , 16795, 16794, 16767, 16768, 17095, 17094, 17065, 17066 -14522 , 16796, 16795, 16768, 16769, 17096, 17095, 17066, 17067 -14523 , 16797, 16796, 16769, 16770, 17097, 17096, 17067, 17068 -14524 , 16798, 16797, 16770, 16771, 17098, 17097, 17068, 17069 -14525 , 16799, 16798, 16771, 16772, 17099, 17098, 17069, 17070 -14526 , 7576, 8735, 8738, 7580, 13855, 15987, 16076, 14256 -14527 , 16800, 16799, 16772, 16773, 17100, 17099, 17070, 17071 -14528 , 16801, 16800, 16773, 16774, 17101, 17100, 17071, 17072 -14529 , 16802, 16801, 16774, 16775, 17102, 17101, 17072, 17073 -14530 , 16803, 16802, 16775, 16776, 17103, 17102, 17073, 17075 -14531 , 16804, 16803, 16776, 16777, 17105, 17103, 17075, 17076 -14532 , 16806, 16804, 16777, 16778, 17107, 17105, 17076, 17104 -14533 , 16807, 16806, 16778, 16805, 17108, 17107, 17104, 17106 -14534 , 17106, 17104, 16778, 16805, 17078, 17077, 16749, 16779 -14535 , 16827, 16807, 16805, 16808, 17133, 17108, 17106, 17109 -14536 , 16808, 16805, 16779, 16780, 17109, 17106, 17078, 17079 -14537 , 9016, 9147, 9151, 9018, 16808, 17109, 17133, 16827 -14538 , 9017, 9152, 9150, 9148, 16809, 17110, 17111, 16782 -14539 , 9152, 9017, 9019, 9153, 17110, 16809, 16829, 17134 -14540 , 16812, 16811, 16783, 16784, 17114, 17113, 17112, 17082 -14541 , 16811, 16810, 16782, 16783, 17113, 17135, 17111, 17112 -14542 , 16754, 17081, 17112, 16783, 16753, 17080, 17111, 16782 -14543 , 16813, 16812, 16784, 16785, 17115, 17114, 17082, 17083 -14544 , 16814, 16813, 16785, 16786, 17116, 17115, 17083, 17084 -14545 , 16815, 16814, 16786, 16787, 17117, 17116, 17084, 17085 -14546 , 16816, 16815, 16787, 16788, 17118, 17117, 17085, 17086 -14547 , 16817, 16816, 16788, 16789, 17119, 17118, 17086, 17087 -14548 , 10821, 16817, 16789, 16790, 17120, 17119, 17087, 17088 -14549 , 10281, 10821, 16790, 16791, 17121, 17120, 17088, 17089 -14550 , 16791, 10281, 10282, 10819, 10785, 10277, 10280, 10788 -14551 , 10282, 10281, 16791, 10819, 17122, 17121, 17089, 17090 -14552 , 7584, 8741, 8732, 7440, 13879, 15991, 15993, 13895 -14553 , 8741, 7584, 7585, 8744, 15991, 13879, 14296, 16086 -14554 , 10286, 10282, 10819, 10820, 10319, 17122, 17090, 17091 -14555 , 10290, 10286, 10820, 16792, 10323, 10319, 17091, 17092 -14556 , 10820, 10286, 10290, 16792, 10791, 10285, 10289, 10794 -14557 , 10322, 10290, 16792, 16793, 10325, 10323, 17092, 17093 -14558 , 10822, 10322, 16793, 16794, 10370, 10325, 17093, 17094 -14559 , 10823, 10822, 16794, 16795, 10371, 10370, 17094, 17095 -14560 , 10826, 10823, 16795, 16796, 10833, 10371, 17095, 17096 -14561 , 10832, 10826, 16796, 16797, 17123, 10833, 17096, 17097 -14562 , 16818, 10832, 16797, 16798, 17124, 17123, 17097, 17098 -14563 , 16819, 16818, 16798, 16799, 17125, 17124, 17098, 17099 -14564 , 16820, 16819, 16799, 16800, 17126, 17125, 17099, 17100 -14565 , 16821, 16820, 16800, 16801, 17127, 17126, 17100, 17101 -14566 , 16822, 16821, 16801, 16802, 17128, 17127, 17101, 17102 -14567 , 16823, 16822, 16802, 16803, 17129, 17128, 17102, 17103 -14568 , 16824, 16823, 16803, 16804, 17130, 17129, 17103, 17105 -14569 , 16825, 16824, 16804, 16806, 17131, 17130, 17105, 17107 -14570 , 16826, 16825, 16806, 16807, 17132, 17131, 17107, 17108 -14571 , 17132, 17108, 16807, 16826, 17154, 17133, 16827, 16846 -14572 , 9018, 9151, 9154, 9021, 16827, 17133, 17154, 16846 -14573 , 9019, 9022, 9023, 9155, 16829, 16828, 16848, 16849 -14574 , 9153, 9019, 9155, 9156, 17134, 16829, 16849, 17155 -14575 , 16831, 16830, 16810, 16811, 17137, 17136, 17135, 17113 -14576 , 16830, 16849, 16829, 16810, 17136, 17155, 17134, 17135 -14577 , 16810, 16829, 16809, 16782, 17135, 17134, 17110, 17111 -14578 , 16832, 16831, 16811, 16812, 17138, 17137, 17113, 17114 -14579 , 7526, 8660, 8663, 7589, 13897, 15641, 15644, 14007 -14580 , 16833, 16832, 16812, 16813, 17139, 17138, 17114, 17115 -14581 , 16834, 16833, 16813, 16814, 17140, 17139, 17115, 17116 -14582 , 16835, 16834, 16814, 16815, 17141, 17140, 17116, 17117 -14583 , 16836, 16835, 16815, 16816, 17142, 17141, 17117, 17118 -14584 , 10828, 16836, 16816, 16817, 17143, 17142, 17118, 17119 -14585 , 16817, 10828, 10294, 10821, 10799, 10800, 10293, 10801 -14586 , 10294, 10828, 16817, 10821, 17144, 17143, 17119, 17120 -14587 , 10283, 10294, 10821, 10281, 10327, 17144, 17120, 17121 -14588 , 10287, 10283, 10281, 10282, 10329, 10327, 17121, 17122 -14589 , 16837, 10829, 10832, 16818, 17145, 10834, 17123, 17124 -14590 , 16838, 16837, 16818, 16819, 17146, 17145, 17124, 17125 -14591 , 16839, 16838, 16819, 16820, 17147, 17146, 17125, 17126 -14592 , 16840, 16839, 16820, 16821, 17148, 17147, 17126, 17127 -14593 , 13908, 15997, 15913, 13526, 13909, 16000, 16003, 13926 -14594 , 13908, 15997, 16000, 13909, 13895, 15993, 16090, 14312 -14595 , 13507, 15906, 15997, 13908, 13486, 15904, 15993, 13895 -14596 , 16841, 16840, 16821, 16822, 17149, 17148, 17127, 17128 -14597 , 16842, 16841, 16822, 16823, 17150, 17149, 17128, 17129 -14598 , 16843, 16842, 16823, 16824, 17151, 17150, 17129, 17130 -14599 , 16844, 16843, 16824, 16825, 17152, 17151, 17130, 17131 -14600 , 16845, 16844, 16825, 16826, 17153, 17152, 17131, 17132 -14601 , 17153, 17132, 16826, 16845, 17172, 17154, 16846, 16866 -14602 , 9024, 9021, 9157, 9025, 16847, 16846, 16866, 16869 -14603 , 9021, 9154, 9158, 9157, 16846, 17154, 17172, 16866 -14604 , 9155, 9023, 9026, 9028, 16849, 16848, 16870, 16850 -14605 , 9156, 9155, 9028, 9159, 17155, 16849, 16850, 17173 -14606 , 16852, 16851, 16830, 16831, 17157, 17156, 17136, 17137 -14607 , 16851, 16850, 16849, 16830, 17156, 17173, 17155, 17136 -14608 , 16853, 16852, 16831, 16832, 17158, 17157, 17137, 17138 -14609 , 16854, 16853, 16832, 16833, 17159, 17158, 17138, 17139 -14610 , 16855, 16854, 16833, 16834, 17160, 17159, 17139, 17140 -14611 , 16856, 16855, 16834, 16835, 17161, 17160, 17140, 17141 -14612 , 16857, 16856, 16835, 16836, 17162, 17161, 17141, 17142 -14613 , 10304, 16857, 16836, 10828, 17163, 17162, 17142, 17143 -14614 , 10295, 10304, 10828, 10294, 10343, 17163, 17143, 17144 -14615 , 13526, 15913, 15916, 13547, 13926, 16003, 16006, 13936 -14616 , 16858, 10831, 10829, 16837, 10841, 10835, 10834, 17145 -14617 , 16859, 16858, 16837, 16838, 17164, 10841, 17145, 17146 -14618 , 16860, 16859, 16838, 16839, 17165, 17164, 17146, 17147 -14619 , 16861, 16860, 16839, 16840, 17166, 17165, 17147, 17148 -14620 , 16862, 16861, 16840, 16841, 17167, 17166, 17148, 17149 -14621 , 16863, 16862, 16841, 16842, 17168, 17167, 17149, 17150 -14622 , 16864, 16863, 16842, 16843, 17169, 17168, 17150, 17151 -14623 , 16865, 16864, 16843, 16844, 17170, 17169, 17151, 17152 -14624 , 16867, 16865, 16844, 16845, 17171, 17170, 17152, 17153 -14625 , 17171, 17153, 16845, 16867, 17188, 17172, 16866, 16868 -14626 , 9025, 9157, 9160, 9027, 16869, 16866, 16868, 16888 -14627 , 9157, 9158, 9161, 9160, 16866, 17172, 17188, 16868 -14628 , 13547, 15916, 15919, 13559, 13936, 16006, 16009, 13946 -14629 , 9159, 9028, 9029, 9162, 17173, 16850, 16889, 17189 -14630 , 16872, 16871, 16851, 16852, 17175, 17174, 17156, 17157 -14631 , 16871, 16889, 16850, 16851, 17174, 17189, 17173, 17156 -14632 , 16873, 16872, 16852, 16853, 17176, 17175, 17157, 17158 -14633 , 16874, 16873, 16853, 16854, 17177, 17176, 17158, 17159 -14634 , 16875, 16874, 16854, 16855, 17178, 17177, 17159, 17160 -14635 , 16876, 16875, 16855, 16856, 17179, 17178, 17160, 17161 -14636 , 16877, 16876, 16856, 16857, 17180, 17179, 17161, 17162 -14637 , 10309, 16877, 16857, 10304, 17181, 17180, 17162, 17163 -14638 , 10304, 17163, 10343, 10295, 10309, 17181, 10344, 10305 -14639 , 16878, 10660, 10831, 16858, 10840, 10837, 10835, 10841 -14640 , 16879, 16878, 16858, 16859, 10849, 10840, 10841, 17164 -14641 , 13559, 15919, 15922, 13569, 13946, 16009, 16012, 13960 -14642 , 16880, 16879, 16859, 16860, 10887, 10849, 17164, 17165 -14643 , 16881, 16880, 16860, 16861, 17182, 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10848, 17456, 17457, 10889, 10870, 17763, 17764 -15469 , 17472, 10869, 17457, 17458, 17780, 10889, 17764, 17765 -15470 , 17473, 17472, 17458, 17459, 17781, 17780, 17765, 17766 -15471 , 17474, 17473, 17459, 17460, 17782, 17781, 17766, 17767 -15472 , 17475, 17474, 17460, 17461, 17783, 17782, 17767, 17768 -15473 , 14103, 16048, 16051, 14124, 14593, 16140, 16143, 14603 -15474 , 17476, 17475, 17461, 17462, 17784, 17783, 17768, 17770 -15475 , 17477, 17476, 17462, 17463, 17786, 17784, 17770, 17771 -15476 , 17491, 17477, 17463, 17478, 17797, 17786, 17771, 17785 -15477 , 9272, 9412, 9416, 9278, 17478, 17785, 17797, 17491 -15478 , 9417, 9280, 9281, 9283, 17467, 17466, 17492, 17480 -15479 , 9415, 9280, 9417, 9418, 17787, 17466, 17467, 17774 -15480 , 9419, 9417, 9283, 9284, 17468, 17467, 17480, 17481 -15481 , 9418, 9417, 9419, 9420, 17774, 17467, 17468, 17775 -15482 , 9420, 9419, 9284, 9421, 17775, 17468, 17481, 17798 -15483 , 17483, 17482, 17469, 17470, 17789, 17788, 17776, 17777 -15484 , 17482, 17481, 17468, 17469, 17788, 17798, 17775, 17776 -15485 , 17484, 17483, 17470, 17471, 17790, 17789, 17777, 17778 -15486 , 10403, 17484, 17471, 10394, 17791, 17790, 17778, 17779 -15487 , 10395, 10403, 10394, 10385, 10423, 17791, 17779, 10415 -15488 , 14124, 16051, 16054, 14146, 14603, 16143, 16146, 14615 -15489 , 17485, 10859, 10869, 17472, 17792, 10881, 10889, 17780 -15490 , 17486, 17485, 17472, 17473, 17793, 17792, 17780, 17781 -15491 , 17487, 17486, 17473, 17474, 17794, 17793, 17781, 17782 -15492 , 17488, 17487, 17474, 17475, 17795, 17794, 17782, 17783 -15493 , 17489, 17488, 17475, 17476, 17796, 17795, 17783, 17784 -15494 , 17490, 17489, 17476, 17477, 17808, 17796, 17784, 17786 -15495 , 9278, 9422, 9423, 9282, 17491, 17477, 17490, 17502 -15496 , 9424, 9422, 9278, 9416, 17786, 17477, 17491, 17797 -15497 , 9422, 9424, 9425, 9423, 17477, 17786, 17808, 17490 -15498 , 9426, 9284, 9285, 9287, 17482, 17481, 17503, 17493 -15499 , 9421, 9284, 9426, 9427, 17798, 17481, 17482, 17788 -15500 , 9427, 9426, 9287, 9428, 17788, 17482, 17493, 17809 -15501 , 17495, 17494, 17483, 17484, 17800, 17799, 17789, 17790 -15502 , 17494, 17493, 17482, 17483, 17799, 17809, 17788, 17789 -15503 , 17484, 17495, 10404, 10403, 10356, 10402, 10366, 10357 -15504 , 10404, 17495, 17484, 10403, 17801, 17800, 17790, 17791 -15505 , 10405, 10404, 10403, 10395, 17802, 17801, 17791, 10423 -15506 , 14146, 16054, 16057, 14167, 14615, 16146, 16149, 14627 -15507 , 17496, 10880, 10859, 17485, 17803, 10890, 10881, 17792 -15508 , 17497, 17496, 17485, 17486, 17804, 17803, 17792, 17793 -15509 , 17498, 17497, 17486, 17487, 17805, 17804, 17793, 17794 -15510 , 17499, 17498, 17487, 17488, 17806, 17805, 17794, 17795 -15511 , 17500, 17499, 17488, 17489, 17807, 17806, 17795, 17796 -15512 , 17501, 17500, 17489, 17490, 17830, 17807, 17796, 17808 -15513 , 9282, 9423, 9429, 9286, 17502, 17490, 17501, 17519 -15514 , 9423, 9425, 9430, 9429, 17490, 17808, 17830, 17501 -15515 , 9428, 9287, 9288, 9431, 17809, 17493, 17494, 17799 -15516 , 9431, 9288, 9291, 9432, 17799, 17494, 17522, 17831 -15517 , 17811, 17810, 17495, 10404, 17813, 17812, 17800, 17801 -15518 , 17495, 17810, 17811, 10404, 10402, 17505, 17227, 10366 -15519 , 17495, 17800, 17812, 17810, 17494, 17799, 17831, 17522 -15520 , 10402, 17495, 17810, 17505, 17204, 17494, 17522, 17504 -15521 , 17506, 17811, 10404, 10405, 17814, 17813, 17801, 17802 -15522 , 14167, 16057, 16060, 14189, 14627, 16149, 16152, 14649 -15523 , 17507, 17506, 10405, 10406, 17815, 17814, 17802, 10872 -15524 , 10651, 17507, 10406, 10649, 17816, 17815, 10872, 10873 -15525 , 10653, 10651, 10649, 10643, 17817, 17816, 10873, 10874 -15526 , 10663, 10653, 10643, 10645, 17818, 17817, 10874, 10875 -15527 , 17508, 10663, 10645, 10646, 17819, 17818, 10875, 10876 -15528 , 10645, 10663, 17508, 10646, 10642, 10662, 10664, 10644 -15529 , 17509, 17508, 10646, 10854, 17820, 17819, 10876, 10877 -15530 , 17510, 17509, 10854, 10855, 17821, 17820, 10877, 10878 -15531 , 17511, 17510, 10855, 10857, 17822, 17821, 10878, 10879 -15532 , 17512, 17511, 10857, 10861, 17823, 17822, 10879, 10882 -15533 , 17513, 17512, 10861, 10880, 17824, 17823, 10882, 10890 -15534 , 17514, 17513, 10880, 17496, 17825, 17824, 10890, 17803 -15535 , 7841, 8678, 8683, 7877, 14639, 15658, 15661, 14776 -15536 , 17515, 17514, 17496, 17497, 17826, 17825, 17803, 17804 -15537 , 17516, 17515, 17497, 17498, 17827, 17826, 17804, 17805 -15538 , 17517, 17516, 17498, 17499, 17828, 17827, 17805, 17806 -15539 , 17518, 17517, 17499, 17500, 17829, 17828, 17806, 17807 -15540 , 17520, 17518, 17500, 17501, 17850, 17829, 17807, 17830 -15541 , 9286, 9429, 9302, 9292, 17519, 17501, 17520, 17536 -15542 , 9429, 9430, 9433, 9302, 17501, 17830, 17850, 17520 -15543 , 9432, 9291, 9295, 9434, 17831, 17522, 17537, 17853 -15544 , 17832, 17539, 17810, 17811, 17834, 17833, 17812, 17813 -15545 , 17810, 17539, 17832, 17811, 17505, 17523, 17524, 17227 -15546 , 17810, 17812, 17833, 17539, 17522, 17831, 17853, 17537 -15547 , 17504, 17522, 17810, 17505, 17521, 17537, 17539, 17523 -15548 , 14189, 16060, 16063, 14207, 14649, 16152, 16155, 14670 -15549 , 17542, 17832, 17811, 17506, 17835, 17834, 17813, 17814 -15550 , 17811, 17832, 17542, 17506, 17227, 17524, 17525, 17228 -15551 , 17506, 17814, 17815, 17507, 17542, 17835, 17836, 17543 -15552 , 17228, 17506, 17507, 10647, 17525, 17542, 17543, 17526 -15553 , 17507, 17815, 17816, 10651, 17543, 17836, 17837, 17544 -15554 , 10647, 17507, 10651, 10648, 17526, 17543, 17544, 17527 -15555 , 10651, 17816, 17817, 10653, 17544, 17837, 17838, 17545 -15556 , 10648, 10651, 10653, 10650, 17527, 17544, 17545, 17528 -15557 , 10653, 17817, 17818, 10663, 17545, 17838, 17839, 17546 -15558 , 10650, 10653, 10663, 10662, 17528, 17545, 17546, 12233 -15559 , 10663, 17818, 17819, 17508, 17546, 17839, 17840, 17529 -15560 , 17530, 17529, 17508, 17509, 17841, 17840, 17819, 17820 -15561 , 12090, 17530, 17509, 17510, 17842, 17841, 17820, 17821 -15562 , 12092, 12090, 17510, 17511, 17843, 17842, 17821, 17822 -15563 , 12094, 12092, 17511, 17512, 17844, 17843, 17822, 17823 -15564 , 12096, 12094, 17512, 17513, 17845, 17844, 17823, 17824 -15565 , 17531, 12096, 17513, 17514, 17846, 17845, 17824, 17825 -15566 , 17532, 17531, 17514, 17515, 17847, 17846, 17825, 17826 -15567 , 17533, 17532, 17515, 17516, 17848, 17847, 17826, 17827 -15568 , 17534, 17533, 17516, 17517, 17849, 17848, 17827, 17828 -15569 , 17535, 17534, 17517, 17518, 17851, 17849, 17828, 17829 -15570 , 17547, 17535, 17518, 17520, 17858, 17851, 17829, 17850 -15571 , 9302, 9433, 9435, 9303, 17520, 17850, 17858, 17547 -15572 , 9295, 9304, 9307, 9436, 17537, 17539, 17549, 17852 -15573 , 9434, 9295, 9436, 9437, 17853, 17537, 17852, 17859 -15574 , 14207, 16063, 16066, 14224, 14670, 16155, 16158, 14677 -15575 , 17539, 17833, 17834, 17832, 17549, 17860, 17854, 17550 -15576 , 17832, 17834, 17835, 17542, 17550, 17854, 17863, 17551 -15577 , 17523, 17539, 17832, 17524, 17538, 17549, 17550, 17540 -15578 , 17524, 17832, 17542, 17525, 17540, 17550, 17551, 17541 -15579 , 9309, 9310, 9438, 9311, 17542, 17543, 17855, 17551 -15580 , 9310, 9312, 9439, 9438, 17543, 17544, 17856, 17855 -15581 , 9440, 9312, 9313, 9441, 17837, 17544, 17545, 17838 -15582 , 9312, 9440, 9442, 9439, 17544, 17837, 17865, 17856 -15583 , 9441, 9313, 9314, 9443, 17838, 17545, 17546, 17839 -15584 , 9443, 9314, 9315, 9444, 17839, 17546, 17529, 17840 -15585 , 9444, 9315, 9316, 9445, 17840, 17529, 12139, 12180 -15586 , 17530, 12098, 12091, 12090, 12037, 12038, 12040, 12039 -15587 , 12091, 12098, 17530, 12090, 12142, 12140, 17841, 17842 -15588 , 17530, 17841, 12140, 12098, 17529, 17840, 12180, 12139 -15589 , 12093, 12091, 12090, 12092, 12144, 12142, 17842, 17843 -15590 , 12095, 12093, 12092, 12094, 12146, 12144, 17843, 17844 -15591 , 12097, 12095, 12094, 12096, 12148, 12146, 17844, 17845 -15592 , 12103, 12097, 12096, 17531, 12150, 12148, 17845, 17846 -15593 , 12096, 12097, 12103, 17531, 12045, 12046, 12048, 12047 -15594 , 12106, 12103, 17531, 17532, 12152, 12150, 17846, 17847 -15595 , 12109, 12106, 17532, 17533, 12191, 12152, 17847, 17848 -15596 , 17533, 17848, 17849, 17534, 12109, 12191, 17857, 12154 -15597 , 17857, 17849, 17534, 12154, 17866, 17851, 17535, 17548 -15598 , 9303, 9446, 9321, 9317, 17547, 17535, 17548, 17552 -15599 , 9447, 9446, 9303, 9435, 17851, 17535, 17547, 17858 -15600 , 9446, 9447, 9448, 9321, 17535, 17851, 17866, 17548 -15601 , 9437, 9436, 9307, 9449, 17859, 17852, 17549, 17860 -15602 , 14224, 16066, 16071, 14244, 14677, 16158, 16161, 14687 -15603 , 9449, 9307, 9318, 9450, 17860, 17549, 17550, 17854 -15604 , 9318, 9311, 9451, 9452, 17550, 17551, 17862, 17861 -15605 , 9450, 9318, 9452, 9453, 17854, 17550, 17861, 17867 -15606 , 9454, 9311, 9438, 9455, 17863, 17551, 17855, 17864 -15607 , 9311, 9454, 9456, 9451, 17551, 17863, 17868, 17862 -15608 , 9455, 9438, 9439, 9442, 17864, 17855, 17856, 17865 -15609 , 9460, 9458, 9320, 9461, 12191, 12109, 12154, 17857 -15610 , 9461, 9320, 9321, 9448, 17857, 12154, 17548, 17866 -15611 , 9453, 9452, 9451, 9456, 17867, 17861, 17862, 17868 -15612 , 14244, 16071, 16074, 14255, 14687, 16161, 16166, 14689 -15613 , 14255, 16074, 16164, 14688, 14689, 16166, 16168, 14690 -15614 , 9343, 9342, 9344, 9478, 17554, 17553, 17569, 17570 -15615 , 9345, 9343, 9478, 9479, 17555, 17554, 17570, 17571 -15616 , 9346, 9345, 9479, 9480, 17556, 17555, 17571, 17573 -15617 , 9347, 9346, 9480, 9481, 17557, 17556, 17573, 17575 -15618 , 9348, 9347, 9481, 9482, 17558, 17557, 17575, 17577 -15619 , 9349, 9348, 9482, 9483, 17559, 17558, 17577, 17579 -15620 , 16168, 16164, 14688, 14690, 16244, 16170, 14691, 15199 -15621 , 16164, 16076, 14256, 14688, 16170, 16080, 14276, 14691 -15622 , 9350, 9349, 9483, 9355, 17560, 17559, 17579, 17582 -15623 , 9361, 9360, 9362, 9484, 17563, 17562, 17589, 17590 -15624 , 9363, 9361, 9484, 9485, 17564, 17563, 17590, 17591 -15625 , 9364, 9363, 9485, 9486, 17565, 17564, 17591, 17593 -15626 , 9365, 9364, 9486, 9487, 17566, 17565, 17593, 17595 -15627 , 9366, 9365, 9487, 9488, 17567, 17566, 17595, 17597 -15628 , 9366, 9489, 9490, 9367, 17567, 17869, 17870, 17568 -15629 , 9489, 9366, 9488, 9491, 17869, 17567, 17597, 17880 -15630 , 9367, 9490, 9492, 9344, 17568, 17870, 17871, 17569 -15631 , 9344, 9492, 9493, 9478, 17569, 17871, 17872, 17570 -15632 , 9478, 9493, 9494, 9479, 17570, 17872, 17873, 17571 -15633 , 9479, 9494, 9495, 9480, 17571, 17873, 17874, 17573 -15634 , 9480, 9495, 9496, 9481, 17573, 17874, 17875, 17575 -15635 , 17577, 17575, 9481, 9482, 17896, 17875, 9496, 9613 -15636 , 17579, 17577, 9482, 9483, 17899, 17896, 9613, 9615 -15637 , 17582, 17579, 9483, 9355, 17901, 17899, 9615, 9617 -15638 , 17583, 17582, 9355, 9368, 18162, 17901, 9617, 9619 -15639 , 9369, 9368, 9497, 9498, 17584, 17583, 17611, 17613 -15640 , 17611, 17583, 9368, 9497, 17902, 18162, 9619, 9620 -15641 , 9370, 9369, 9498, 9375, 17586, 17584, 17613, 17616 -15642 , 7719, 8750, 8759, 7944, 14691, 16170, 16244, 15199 -15643 , 9378, 9377, 9379, 9499, 17588, 17587, 17620, 17621 -15644 , 9362, 9378, 9499, 9500, 17589, 17588, 17621, 17622 -15645 , 9484, 9362, 9500, 9501, 17590, 17589, 17622, 17592 -15646 , 9484, 9502, 9503, 9485, 17590, 17876, 17877, 17591 -15647 , 9502, 9484, 9501, 9504, 17876, 17590, 17592, 17904 -15648 , 9485, 9503, 9505, 9486, 17591, 17877, 17878, 17593 -15649 , 9486, 9505, 9506, 9487, 17593, 17878, 17879, 17595 -15650 , 9487, 9506, 9491, 9488, 17595, 17879, 17880, 17597 -15651 , 17603, 17602, 17599, 17601, 17885, 17883, 17881, 17882 -15652 , 17601, 17599, 17568, 17569, 17882, 17881, 17870, 17871 -15653 , 17602, 17600, 17597, 17599, 17883, 17910, 17880, 17881 -15654 , 17599, 17597, 17567, 17568, 17881, 17880, 17869, 17870 -15655 , 17604, 17603, 17601, 17572, 17887, 17885, 17882, 17884 -15656 , 17572, 17601, 17569, 17570, 17884, 17882, 17871, 17872 -15657 , 17605, 17604, 17572, 17574, 17889, 17887, 17884, 17886 -15658 , 17574, 17572, 17570, 17571, 17886, 17884, 17872, 17873 -15659 , 17606, 17605, 17574, 17576, 17891, 17889, 17886, 17888 -15660 , 17576, 17574, 17571, 17573, 17888, 17886, 17873, 17874 -15661 , 17607, 17606, 17576, 17578, 17893, 17891, 17888, 17890 -15662 , 17578, 17576, 17573, 17575, 17890, 17888, 17874, 17875 -15663 , 17608, 17607, 17578, 17580, 17895, 17893, 17890, 17892 -15664 , 17580, 17578, 17575, 17577, 17892, 17890, 17875, 17896 -15665 , 17610, 17608, 17580, 17581, 17898, 17895, 17892, 17894 -15666 , 17581, 17580, 17577, 17579, 17894, 17892, 17896, 17899 -15667 , 17612, 17610, 17581, 17609, 17900, 17898, 17894, 17897 -15668 , 17609, 17581, 17579, 17582, 17897, 17894, 17899, 17901 -15669 , 17614, 17612, 17609, 17611, 17921, 17900, 17897, 17902 -15670 , 17611, 17609, 17582, 17583, 17902, 17897, 17901, 18162 -15671 , 17613, 17611, 9497, 9498, 18171, 17902, 9620, 9637 -15672 , 9375, 9498, 9507, 9508, 17616, 17613, 17615, 17640 -15673 , 17615, 17613, 9498, 9507, 17924, 18171, 9637, 9639 -15674 , 9380, 9375, 9508, 9384, 17618, 17616, 17640, 17643 -15675 , 8756, 7725, 7956, 9509, 16174, 14726, 14748, 16178 -15676 , 9379, 9385, 9386, 9510, 17620, 17619, 17646, 17647 -15677 , 9499, 9379, 9510, 9511, 17621, 17620, 17647, 17623 -15678 , 9500, 9499, 9511, 9512, 17622, 17621, 17623, 17624 -15679 , 9500, 9513, 9504, 9501, 17622, 17903, 17904, 17592 -15680 , 9513, 9500, 9512, 9514, 17903, 17622, 17624, 17925 -15681 , 17627, 17626, 17594, 17596, 17909, 17907, 17905, 17906 -15682 , 17596, 17594, 17591, 17593, 17906, 17905, 17877, 17878 -15683 , 17626, 17625, 17592, 17594, 17907, 17926, 17904, 17905 -15684 , 17594, 17592, 17590, 17591, 17905, 17904, 17876, 17877 -15685 , 17628, 17627, 17596, 17598, 17911, 17909, 17906, 17908 -15686 , 17598, 17596, 17593, 17595, 17908, 17906, 17878, 17879 -15687 , 17629, 17628, 17598, 17600, 17912, 17911, 17908, 17910 -15688 , 17600, 17598, 17595, 17597, 17910, 17908, 17879, 17880 -15689 , 17630, 17629, 17600, 17602, 17913, 17912, 17910, 17883 -15690 , 8756, 9509, 9515, 8762, 16174, 16178, 16179, 16250 -15691 , 17631, 17630, 17602, 17603, 17914, 17913, 17883, 17885 -15692 , 17632, 17631, 17603, 17604, 17915, 17914, 17885, 17887 -15693 , 17633, 17632, 17604, 17605, 17916, 17915, 17887, 17889 -15694 , 17634, 17633, 17605, 17606, 17917, 17916, 17889, 17891 -15695 , 17635, 17634, 17606, 17607, 17918, 17917, 17891, 17893 -15696 , 17636, 17635, 17607, 17608, 17919, 17918, 17893, 17895 -15697 , 17637, 17636, 17608, 17610, 17920, 17919, 17895, 17898 -15698 , 17638, 17637, 17610, 17612, 17922, 17920, 17898, 17900 -15699 , 17639, 17638, 17612, 17614, 17923, 17922, 17900, 17921 -15700 , 17641, 17639, 17614, 17615, 17941, 17923, 17921, 17924 -15701 , 9509, 7956, 7963, 9515, 16178, 14748, 15252, 16179 -15702 , 17615, 17614, 17611, 17613, 17924, 17921, 17902, 18171 -15703 , 17640, 17615, 9507, 9508, 17946, 17924, 9639, 9651 -15704 , 17643, 17640, 9508, 9384, 18194, 17946, 9651, 9652 -15705 , 9387, 9384, 9516, 9390, 17645, 17643, 17667, 17670 -15706 , 17667, 17643, 9384, 9516, 17947, 18194, 9652, 9654 -15707 , 9510, 9386, 9392, 9517, 17647, 17646, 17672, 17648 -15708 , 9511, 9510, 9517, 9518, 17623, 17647, 17648, 17649 -15709 , 9512, 9511, 9518, 9519, 17624, 17623, 17649, 17650 -15710 , 9514, 9512, 9519, 9520, 17925, 17624, 17650, 17949 -15711 , 17652, 17651, 17625, 17626, 17928, 17927, 17926, 17907 -15712 , 17651, 17650, 17624, 17625, 17927, 17949, 17925, 17926 -15713 , 17625, 17624, 17622, 17592, 17926, 17925, 17903, 17904 -15714 , 17653, 17652, 17626, 17627, 17929, 17928, 17907, 17909 -15715 , 17654, 17653, 17627, 17628, 17930, 17929, 17909, 17911 -15716 , 17655, 17654, 17628, 17629, 17931, 17930, 17911, 17912 -15717 , 17656, 17655, 17629, 17630, 17932, 17931, 17912, 17913 -15718 , 17657, 17656, 17630, 17631, 17933, 17932, 17913, 17914 -15719 , 17658, 17657, 17631, 17632, 17934, 17933, 17914, 17915 -15720 , 17659, 17658, 17632, 17633, 17935, 17934, 17915, 17916 -15721 , 17660, 17659, 17633, 17634, 17936, 17935, 17916, 17917 -15722 , 17661, 17660, 17634, 17635, 17937, 17936, 17917, 17918 -15723 , 17662, 17661, 17635, 17636, 17938, 17937, 17918, 17919 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-15740 , 9520, 9519, 9526, 9527, 17949, 17650, 17675, 17972 -15741 , 7877, 8683, 8615, 7018, 14776, 15661, 15663, 14962 -15742 , 17677, 17676, 17651, 17652, 17951, 17950, 17927, 17928 -15743 , 17676, 17675, 17650, 17651, 17950, 17972, 17949, 17927 -15744 , 17678, 17677, 17652, 17653, 17952, 17951, 17928, 17929 -15745 , 17679, 17678, 17653, 17654, 17953, 17952, 17929, 17930 -15746 , 17680, 17679, 17654, 17655, 17954, 17953, 17930, 17931 -15747 , 17681, 17680, 17655, 17656, 17955, 17954, 17931, 17932 -15748 , 17682, 17681, 17656, 17657, 17956, 17955, 17932, 17933 -15749 , 17683, 17682, 17657, 17658, 17957, 17956, 17933, 17934 -15750 , 17684, 17683, 17658, 17659, 17958, 17957, 17934, 17935 -15751 , 14331, 16096, 16099, 14345, 14785, 16186, 16189, 14804 -15752 , 17685, 17684, 17659, 17660, 17959, 17958, 17935, 17936 -15753 , 17686, 17685, 17660, 17661, 17960, 17959, 17936, 17937 -15754 , 17687, 17686, 17661, 17662, 17961, 17960, 17937, 17938 -15755 , 17688, 17687, 17662, 17663, 17962, 17961, 17938, 17939 -15756 , 17689, 17688, 17663, 17664, 17963, 17962, 17939, 17940 -15757 , 17690, 17689, 17664, 17665, 17964, 17963, 17940, 17942 -15758 , 17691, 17690, 17665, 17666, 17965, 17964, 17942, 17944 -15759 , 17692, 17691, 17666, 17668, 17967, 17965, 17944, 17945 -15760 , 17694, 17692, 17668, 17669, 17968, 17967, 17945, 17966 -15761 , 17695, 17694, 17669, 17693, 17990, 17968, 17966, 17969 -15762 , 17693, 17669, 17667, 17670, 17969, 17966, 17947, 17948 -15763 , 9521, 9523, 9528, 9395, 17693, 17969, 17970, 17696 -15764 , 9399, 9395, 9529, 9400, 17697, 17696, 17720, 17723 -15765 , 9395, 9528, 9530, 9529, 17696, 17970, 17993, 17720 -15766 , 9524, 9398, 9403, 9531, 17673, 17698, 17724, 17699 -15767 , 9525, 9524, 9531, 9532, 17674, 17673, 17699, 17700 -15768 , 9525, 9533, 9527, 9526, 17674, 17971, 17972, 17675 -15769 , 9533, 9525, 9532, 9534, 17971, 17674, 17700, 17994 -15770 , 17703, 17702, 17676, 17677, 17974, 17973, 17950, 17951 -15771 , 17702, 17701, 17675, 17676, 17973, 17995, 17972, 17950 -15772 , 17704, 17703, 17677, 17678, 17975, 17974, 17951, 17952 -15773 , 17705, 17704, 17678, 17679, 17976, 17975, 17952, 17953 -15774 , 14345, 16099, 16102, 14352, 14804, 16189, 16192, 14823 -15775 , 17706, 17705, 17679, 17680, 17977, 17976, 17953, 17954 -15776 , 17707, 17706, 17680, 17681, 17978, 17977, 17954, 17955 -15777 , 17708, 17707, 17681, 17682, 17979, 17978, 17955, 17956 -15778 , 17709, 17708, 17682, 17683, 17980, 17979, 17956, 17957 -15779 , 17710, 17709, 17683, 17684, 17981, 17980, 17957, 17958 -15780 , 17711, 17710, 17684, 17685, 17982, 17981, 17958, 17959 -15781 , 17712, 17711, 17685, 17686, 17983, 17982, 17959, 17960 -15782 , 17713, 17712, 17686, 17687, 17984, 17983, 17960, 17961 -15783 , 17714, 17713, 17687, 17688, 17985, 17984, 17961, 17962 -15784 , 17715, 17714, 17688, 17689, 17986, 17985, 17962, 17963 -15785 , 17716, 17715, 17689, 17690, 17987, 17986, 17963, 17964 -15786 , 17717, 17716, 17690, 17691, 17988, 17987, 17964, 17965 -15787 , 17718, 17717, 17691, 17692, 17989, 17988, 17965, 17967 -15788 , 17719, 17718, 17692, 17694, 17991, 17989, 17967, 17968 -15789 , 17721, 17719, 17694, 17695, 17992, 17991, 17968, 17990 -15790 , 17722, 17721, 17695, 17720, 18016, 17992, 17990, 17993 -15791 , 17720, 17695, 17693, 17696, 17993, 17990, 17969, 17970 -15792 , 9400, 9529, 9535, 9405, 17723, 17720, 17722, 17748 -15793 , 9529, 9530, 9536, 9535, 17720, 17993, 18016, 17722 -15794 , 9531, 9403, 9408, 9537, 17699, 17724, 17750, 17725 -15795 , 9532, 9531, 9537, 9538, 17700, 17699, 17725, 17726 -15796 , 14352, 16102, 16105, 14353, 14823, 16192, 16195, 14845 -15797 , 9534, 9532, 9538, 9539, 17994, 17700, 17726, 18018 -15798 , 17728, 17727, 17701, 17702, 17997, 17996, 17995, 17973 -15799 , 17727, 17726, 17700, 17701, 17996, 18018, 17994, 17995 -15800 , 17701, 17700, 17674, 17675, 17995, 17994, 17971, 17972 -15801 , 17729, 17728, 17702, 17703, 17998, 17997, 17973, 17974 -15802 , 17730, 17729, 17703, 17704, 17999, 17998, 17974, 17975 -15803 , 17731, 17730, 17704, 17705, 18000, 17999, 17975, 17976 -15804 , 17732, 17731, 17705, 17706, 18001, 18000, 17976, 17977 -15805 , 17733, 17732, 17706, 17707, 18002, 18001, 17977, 17978 -15806 , 17734, 17733, 17707, 17708, 18003, 18002, 17978, 17979 -15807 , 17735, 17734, 17708, 17709, 18004, 18003, 17979, 17980 -15808 , 17736, 17735, 17709, 17710, 18005, 18004, 17980, 17981 -15809 , 17737, 17736, 17710, 17711, 18006, 18005, 17981, 17982 -15810 , 17738, 17737, 17711, 17712, 18007, 18006, 17982, 17983 -15811 , 17739, 17738, 17712, 17713, 18008, 18007, 17983, 17984 -15812 , 17740, 17739, 17713, 17714, 18009, 18008, 17984, 17985 -15813 , 17741, 17740, 17714, 17715, 18010, 18009, 17985, 17986 -15814 , 17742, 17741, 17715, 17716, 18011, 18010, 17986, 17987 -15815 , 17743, 17742, 17716, 17717, 18012, 18011, 17987, 17988 -15816 , 17744, 17743, 17717, 17718, 18013, 18012, 17988, 17989 -15817 , 17745, 17744, 17718, 17719, 18014, 18013, 17989, 17991 -15818 , 17746, 17745, 17719, 17721, 18015, 18014, 17991, 17992 -15819 , 16105, 16108, 14354, 14353, 16195, 10980, 10909, 14845 -15820 , 17747, 17746, 17721, 17722, 18038, 18015, 17992, 18016 -15821 , 9535, 9536, 9540, 9405, 17722, 18016, 18017, 17748 -15822 , 9409, 9405, 9541, 9410, 17749, 17748, 17769, 17772 -15823 , 9405, 9540, 9542, 9541, 17748, 18017, 18040, 17769 -15824 , 9537, 9408, 9411, 9414, 17725, 17750, 17773, 17751 -15825 , 9538, 9537, 9414, 9543, 17726, 17725, 17751, 17752 -15826 , 9539, 9538, 9543, 9544, 18018, 17726, 17752, 18042 -15827 , 17754, 17753, 17727, 17728, 18020, 18019, 17996, 17997 -15828 , 17753, 17752, 17726, 17727, 18019, 18042, 18018, 17996 -15829 , 17755, 17754, 17728, 17729, 18021, 18020, 17997, 17998 -15830 , 17756, 17755, 17729, 17730, 18022, 18021, 17998, 17999 -15831 , 17757, 17756, 17730, 17731, 18023, 18022, 17999, 18000 -15832 , 17758, 17757, 17731, 17732, 18024, 18023, 18000, 18001 -15833 , 10407, 17758, 17732, 17733, 18025, 18024, 18001, 18002 -15834 , 10409, 10407, 17733, 17734, 18026, 18025, 18002, 18003 -15835 , 10411, 10409, 17734, 17735, 18027, 18026, 18003, 18004 -15836 , 10413, 10411, 17735, 17736, 18028, 18027, 18004, 18005 -15837 , 17759, 10413, 17736, 17737, 18029, 18028, 18005, 18006 -15838 , 17760, 17759, 17737, 17738, 18030, 18029, 18006, 18007 -15839 , 17761, 17760, 17738, 17739, 18031, 18030, 18007, 18008 -15840 , 17762, 17761, 17739, 17740, 18032, 18031, 18008, 18009 -15841 , 16108, 10974, 10897, 14354, 10980, 10975, 10898, 10909 -15842 , 17763, 17762, 17740, 17741, 18033, 18032, 18009, 18010 -15843 , 17764, 17763, 17741, 17742, 18034, 18033, 18010, 18011 -15844 , 17765, 17764, 17742, 17743, 18035, 18034, 18011, 18012 -15845 , 17766, 17765, 17743, 17744, 18036, 18035, 18012, 18013 -15846 , 17767, 17766, 17744, 17745, 18037, 18036, 18013, 18014 -15847 , 17768, 17767, 17745, 17746, 18039, 18037, 18014, 18015 -15848 , 17770, 17768, 17746, 17747, 18041, 18039, 18015, 18038 -15849 , 17769, 17747, 17722, 17748, 18040, 18038, 18016, 18017 -15850 , 17771, 17770, 17747, 17769, 18063, 18041, 18038, 18040 -15851 , 9410, 9541, 9545, 9412, 17772, 17769, 17771, 17785 -15852 , 9541, 9542, 9546, 9545, 17769, 18040, 18063, 17771 -15853 , 9543, 9414, 9415, 9418, 17752, 17751, 17787, 17774 -15854 , 9544, 9543, 9418, 9547, 18042, 17752, 17774, 18064 -15855 , 17776, 17775, 17753, 17754, 18044, 18043, 18019, 18020 -15856 , 17775, 17774, 17752, 17753, 18043, 18064, 18042, 18019 -15857 , 17777, 17776, 17754, 17755, 18045, 18044, 18020, 18021 -15858 , 17778, 17777, 17755, 17756, 18046, 18045, 18021, 18022 -15859 , 17779, 17778, 17756, 17757, 18047, 18046, 18022, 18023 -15860 , 10415, 17779, 17757, 17758, 18048, 18047, 18023, 18024 -15861 , 17758, 10415, 10408, 10407, 10384, 10385, 10387, 10386 -15862 , 10408, 10415, 17758, 10407, 18049, 18048, 18024, 18025 -15863 , 10410, 10408, 10407, 10409, 18050, 18049, 18025, 18026 -15864 , 10412, 10410, 10409, 10411, 18051, 18050, 18026, 18027 -15865 , 10414, 10412, 10411, 10413, 18052, 18051, 18027, 18028 -15866 , 10420, 10414, 10413, 17759, 18053, 18052, 18028, 18029 -15867 , 10413, 10414, 10420, 17759, 10378, 10392, 10393, 10382 -15868 , 10863, 10420, 17759, 17760, 18054, 18053, 18029, 18030 -15869 , 10865, 10863, 17760, 17761, 18055, 18054, 18030, 18031 -15870 , 10867, 10865, 17761, 17762, 18056, 18055, 18031, 18032 -15871 , 10870, 10867, 17762, 17763, 18057, 18056, 18032, 18033 -15872 , 10889, 10870, 17763, 17764, 18058, 18057, 18033, 18034 -15873 , 17780, 10889, 17764, 17765, 18059, 18058, 18034, 18035 -15874 , 17781, 17780, 17765, 17766, 18060, 18059, 18035, 18036 -15875 , 17782, 17781, 17766, 17767, 18061, 18060, 18036, 18037 -15876 , 17783, 17782, 17767, 17768, 18062, 18061, 18037, 18039 -15877 , 18062, 18039, 17768, 17783, 18082, 18041, 17770, 17784 -15878 , 9545, 9548, 9549, 9424, 17771, 17770, 17784, 17786 -15879 , 9550, 9548, 9545, 9546, 18041, 17770, 17771, 18063 -15880 , 9548, 9550, 9551, 9549, 17770, 18041, 18082, 17784 -15881 , 9412, 9545, 9424, 9416, 17785, 17771, 17786, 17797 -15882 , 9547, 9418, 9420, 9552, 18064, 17774, 17775, 18043 -15883 , 9553, 9420, 9421, 9427, 17776, 17775, 17798, 17788 -15884 , 9552, 9420, 9553, 9554, 18043, 17775, 17776, 18044 -15885 , 9555, 9553, 9427, 9556, 17777, 17776, 17788, 17789 -15886 , 9554, 9553, 9555, 9557, 18044, 17776, 17777, 18045 -15887 , 9557, 9555, 9556, 9558, 18045, 17777, 17789, 18083 -15888 , 17791, 17790, 17778, 17779, 18066, 18065, 18046, 18047 -15889 , 17790, 17789, 17777, 17778, 18065, 18083, 18045, 18046 -15890 , 10423, 17791, 17779, 10415, 18067, 18066, 18047, 18048 -15891 , 10416, 10423, 10415, 10408, 18068, 18067, 18048, 18049 -15892 , 10417, 10416, 10408, 10410, 18069, 18068, 18049, 18050 -15893 , 10418, 10417, 10410, 10412, 18070, 18069, 18050, 18051 -15894 , 10421, 10418, 10412, 10414, 18071, 18070, 18051, 18052 -15895 , 10422, 10421, 10414, 10420, 18072, 18071, 18052, 18053 -15896 , 10864, 10422, 10420, 10863, 18073, 18072, 18053, 18054 -15897 , 10866, 10864, 10863, 10865, 18074, 18073, 18054, 18055 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10406, 10396 -15914 , 10872, 17802, 10423, 10416, 18087, 18086, 18067, 18068 -15915 , 10873, 10872, 10416, 10417, 18088, 18087, 18068, 18069 -15916 , 10874, 10873, 10417, 10418, 18089, 18088, 18069, 18070 -15917 , 10875, 10874, 10418, 10421, 18090, 18089, 18070, 18071 -15918 , 10876, 10875, 10421, 10422, 18091, 18090, 18071, 18072 -15919 , 10877, 10876, 10422, 10864, 18092, 18091, 18072, 18073 -15920 , 10878, 10877, 10864, 10866, 18093, 18092, 18073, 18074 -15921 , 10879, 10878, 10866, 10868, 18094, 18093, 18074, 18075 -15922 , 10882, 10879, 10868, 10871, 18095, 18094, 18075, 18076 -15923 , 10890, 10882, 10871, 10881, 18096, 18095, 18076, 18077 -15924 , 17803, 10890, 10881, 17792, 18097, 18096, 18077, 18078 -15925 , 17804, 17803, 17792, 17793, 18098, 18097, 18078, 18079 -15926 , 17805, 17804, 17793, 17794, 18099, 18098, 18079, 18080 -15927 , 17806, 17805, 17794, 17795, 18100, 18099, 18080, 18081 -15928 , 10979, 16119, 14469, 10965, 10783, 10789, 10918, 10915 -15929 , 18100, 18081, 17795, 17806, 18120, 18101, 17796, 17807 -15930 , 9425, 9559, 9562, 9430, 17808, 17796, 17807, 17830 -15931 , 9559, 9560, 9563, 9562, 17796, 18101, 18120, 17807 -15932 , 9561, 9431, 9432, 9564, 18102, 17799, 17831, 18121 -15933 , 17813, 17812, 17800, 17801, 18104, 18103, 18084, 18085 -15934 , 17812, 17831, 17799, 17800, 18103, 18121, 18102, 18084 -15935 , 17814, 17813, 17801, 17802, 18105, 18104, 18085, 18086 -15936 , 17815, 17814, 17802, 10872, 18106, 18105, 18086, 18087 -15937 , 17816, 17815, 10872, 10873, 18107, 18106, 18087, 18088 -15938 , 17817, 17816, 10873, 10874, 18108, 18107, 18088, 18089 -15939 , 17818, 17817, 10874, 10875, 18109, 18108, 18089, 18090 -15940 , 17819, 17818, 10875, 10876, 18110, 18109, 18090, 18091 -15941 , 17820, 17819, 10876, 10877, 18111, 18110, 18091, 18092 -15942 , 17821, 17820, 10877, 10878, 18112, 18111, 18092, 18093 -15943 , 17822, 17821, 10878, 10879, 18113, 18112, 18093, 18094 -15944 , 17823, 17822, 10879, 10882, 18114, 18113, 18094, 18095 -15945 , 17824, 17823, 10882, 10890, 18115, 18114, 18095, 18096 -15946 , 17825, 17824, 10890, 17803, 18116, 18115, 18096, 18097 -15947 , 17826, 17825, 17803, 17804, 18117, 18116, 18097, 18098 -15948 , 17827, 17826, 17804, 17805, 18118, 18117, 18098, 18099 -15949 , 16119, 16122, 14489, 14469, 10789, 10792, 10920, 10918 -15950 , 17828, 17827, 17805, 17806, 18119, 18118, 18099, 18100 -15951 , 17829, 17828, 17806, 17807, 18139, 18119, 18100, 18120 -15952 , 9430, 9562, 9565, 9433, 17830, 17807, 17829, 17850 -15953 , 9562, 9563, 9566, 9565, 17807, 18120, 18139, 17829 -15954 , 9564, 9432, 9434, 9567, 18121, 17831, 17853, 18140 -15955 , 17834, 17833, 17812, 17813, 18123, 18122, 18103, 18104 -15956 , 17833, 17853, 17831, 17812, 18122, 18140, 18121, 18103 -15957 , 17835, 17834, 17813, 17814, 18124, 18123, 18104, 18105 -15958 , 17836, 17835, 17814, 17815, 18125, 18124, 18105, 18106 -15959 , 17837, 17836, 17815, 17816, 18126, 18125, 18106, 18107 -15960 , 17816, 18107, 18108, 17817, 17837, 18126, 18127, 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-16731 , 9938, 9936, 9948, 9949, 18590, 18479, 18494, 18596 -16732 , 18496, 18495, 18480, 18481, 18592, 18591, 18586, 18587 -16733 , 18495, 18494, 18479, 18480, 18591, 18596, 18590, 18586 -16734 , 15026, 16215, 16218, 15049, 15452, 16273, 16276, 15462 -16735 , 18497, 18496, 18481, 18482, 18599, 18592, 18587, 18589 -16736 , 9939, 9950, 9951, 9952, 18483, 18482, 18497, 18498 -16737 , 9953, 9950, 9939, 9941, 18589, 18482, 18483, 18593 -16738 , 9950, 9953, 9954, 9951, 18482, 18589, 18599, 18497 -16739 , 9940, 9939, 9952, 9955, 18485, 18483, 18498, 18499 -16740 , 9942, 9940, 9955, 9835, 18486, 18485, 18499, 18501 -16741 , 9819, 9942, 9835, 9827, 18500, 18486, 18501, 18514 -16742 , 9943, 9825, 9831, 9842, 18489, 18502, 18515, 18503 -16743 , 9944, 9943, 9842, 9956, 18490, 18489, 18503, 18504 -16744 , 9945, 9944, 9956, 9957, 18491, 18490, 18504, 18505 -16745 , 9946, 9945, 9957, 9958, 18492, 18491, 18505, 18506 -16746 , 9946, 9959, 9960, 9947, 18492, 18594, 18595, 18493 -16747 , 9959, 9946, 9958, 9961, 18594, 18492, 18506, 18601 -16748 , 9947, 9960, 9949, 9948, 18493, 18595, 18596, 18494 -16749 , 18510, 18509, 18495, 18496, 18598, 18597, 18591, 18592 -16750 , 18509, 18508, 18494, 18495, 18597, 18603, 18596, 18591 -16751 , 18511, 18510, 18496, 18497, 18607, 18598, 18592, 18599 -16752 , 9951, 9954, 9962, 9952, 18497, 18599, 18600, 18498 -16753 , 9955, 9952, 9963, 9964, 18499, 18498, 18512, 18513 -16754 , 9952, 9962, 9965, 9963, 18498, 18600, 18609, 18512 -16755 , 9835, 9955, 9964, 9836, 18501, 18499, 18513, 18526 -16756 , 15049, 16218, 16221, 15067, 15462, 16276, 16279, 15477 -16757 , 9956, 9842, 9843, 9966, 18504, 18503, 18527, 18516 -16758 , 9957, 9956, 9966, 9967, 18505, 18504, 18516, 18517 -16759 , 9958, 9957, 9967, 9968, 18506, 18505, 18517, 18518 -16760 , 9961, 9958, 9968, 9969, 18601, 18506, 18518, 18611 -16761 , 18520, 18519, 18507, 18508, 18605, 18604, 18602, 18603 -16762 , 18508, 18507, 18493, 18494, 18603, 18602, 18595, 18596 -16763 , 18519, 18518, 18506, 18507, 18604, 18611, 18601, 18602 -16764 , 18507, 18506, 18492, 18493, 18602, 18601, 18594, 18595 -16765 , 18521, 18520, 18508, 18509, 18606, 18605, 18603, 18597 -16766 , 18522, 18521, 18509, 18510, 18608, 18606, 18597, 18598 -16767 , 18523, 18522, 18510, 18511, 18610, 18608, 18598, 18607 -16768 , 18512, 18511, 18497, 18498, 18609, 18607, 18599, 18600 -16769 , 18524, 18523, 18511, 18512, 18615, 18610, 18607, 18609 -16770 , 9964, 9963, 9970, 9971, 18513, 18512, 18524, 18525 -16771 , 9963, 9965, 9972, 9970, 18512, 18609, 18615, 18524 -16772 , 9836, 9964, 9971, 9845, 18526, 18513, 18525, 18538 -16773 , 9966, 9843, 9850, 9973, 18516, 18527, 18539, 18528 -16774 , 9967, 9966, 9973, 9974, 18517, 18516, 18528, 18529 -16775 , 9968, 9967, 9974, 9975, 18518, 18517, 18529, 18530 -16776 , 9969, 9968, 9975, 9976, 18611, 18518, 18530, 18616 -16777 , 18532, 18531, 18519, 18520, 18613, 18612, 18604, 18605 -16778 , 18531, 18530, 18518, 18519, 18612, 18616, 18611, 18604 -16779 , 18533, 18532, 18520, 18521, 18614, 18613, 18605, 18606 -16780 , 18534, 18533, 18521, 18522, 18617, 18614, 18606, 18608 -16781 , 15067, 16221, 16224, 15084, 15477, 16279, 16282, 15481 -16782 , 9977, 9978, 9979, 9980, 18523, 18522, 18534, 18535 -16783 , 9981, 9978, 9977, 9982, 18608, 18522, 18523, 18610 -16784 , 9978, 9981, 9983, 9979, 18522, 18608, 18617, 18534 -16785 , 9970, 9977, 9980, 9984, 18524, 18523, 18535, 18536 -16786 , 9982, 9977, 9970, 9972, 18610, 18523, 18524, 18615 -16787 , 9971, 9970, 9984, 9985, 18525, 18524, 18536, 18537 -16788 , 9845, 9971, 9985, 9852, 18538, 18525, 18537, 18549 -16789 , 9973, 9850, 9856, 9861, 18528, 18539, 18551, 18540 -16790 , 9974, 9973, 9861, 9863, 18529, 18528, 18540, 18541 -16791 , 9975, 9974, 9863, 9986, 18530, 18529, 18541, 18542 -16792 , 9987, 9975, 9986, 9988, 18531, 18530, 18542, 18543 -16793 , 9976, 9975, 9987, 9989, 18616, 18530, 18531, 18612 -16794 , 9990, 9987, 9988, 9991, 18532, 18531, 18543, 18544 -16795 , 9989, 9987, 9990, 9992, 18612, 18531, 18532, 18613 -16796 , 9993, 9990, 9991, 9994, 18533, 18532, 18544, 18545 -16797 , 9992, 9990, 9993, 9995, 18613, 18532, 18533, 18614 -16798 , 9979, 9993, 9994, 9996, 18534, 18533, 18545, 18546 -16799 , 9995, 9993, 9979, 9983, 18614, 18533, 18534, 18617 -16800 , 9980, 9979, 9996, 9997, 18535, 18534, 18546, 18547 -16801 , 9984, 9980, 9997, 9998, 18536, 18535, 18547, 18548 -16802 , 9985, 9984, 9998, 9866, 18537, 18536, 18548, 18550 -16803 , 9852, 9985, 9866, 9858, 18549, 18537, 18550, 18559 -16804 , 9986, 9863, 9864, 9868, 18542, 18541, 18560, 18552 -16805 , 9988, 9986, 9868, 9869, 18543, 18542, 18552, 18553 -16806 , 15084, 16224, 16227, 15105, 15481, 16282, 16285, 15484 -16807 , 15483, 15399, 15482, 12261, 15686, 15677, 15619, 15608 -16808 , 9991, 9988, 9869, 9870, 18544, 18543, 18553, 18554 -16809 , 15677, 15686, 15483, 15399, 15689, 15695, 13251, 13225 -16810 , 9994, 9991, 9870, 9873, 18545, 18544, 18554, 18555 -16811 , 9996, 9994, 9873, 9876, 18546, 18545, 18555, 18556 -16812 , 9997, 9996, 9876, 9877, 18547, 18546, 18556, 18557 -16813 , 9998, 9997, 9877, 9878, 18548, 18547, 18557, 18558 -16814 , 9866, 9998, 9878, 9867, 18550, 18548, 18558, 18561 -16815 , 15613, 8630, 7607, 15254, 15616, 8638, 8473, 15400 -16816 , 9901, 9900, 9902, 9999, 18563, 18562, 18568, 18569 -16817 , 9903, 9901, 9999, 10000, 18564, 18563, 18569, 18570 -16818 , 9904, 9903, 10000, 9907, 18565, 18564, 18570, 18573 -16819 , 15105, 16227, 16230, 15125, 15484, 16285, 16288, 15485 -16820 , 9912, 9911, 9913, 10001, 18567, 18566, 18575, 18576 -16821 , 9902, 9912, 10001, 10002, 18568, 18567, 18576, 18577 -16822 , 9999, 9902, 10002, 10003, 18569, 18568, 18577, 18571 -16823 , 10000, 9999, 10003, 10004, 18570, 18569, 18571, 18572 -16824 , 9907, 10000, 10004, 10005, 18573, 18570, 18572, 18581 -16825 , 9914, 9907, 10005, 9917, 18574, 18573, 18581, 18584 -16826 , 10001, 9913, 9923, 9934, 18576, 18575, 18585, 18578 -16827 , 10002, 10001, 9934, 9937, 18577, 18576, 18578, 18579 -16828 , 10003, 10002, 9937, 10006, 18571, 18577, 18579, 18580 -16829 , 10004, 10003, 10006, 10007, 18572, 18571, 18580, 18582 -16830 , 10005, 10004, 10007, 10008, 18581, 18572, 18582, 18583 -16831 , 9917, 10005, 10008, 9926, 18584, 18581, 18583, 18588 -16832 , 10006, 9937, 9938, 10009, 18580, 18579, 18590, 18586 -16833 , 10007, 10006, 10009, 10010, 18582, 18580, 18586, 18587 -16834 , 10008, 10007, 10010, 9953, 18583, 18582, 18587, 18589 -16835 , 15125, 16230, 16233, 15142, 15485, 16288, 16291, 15486 -16836 , 9926, 10008, 9953, 9941, 18588, 18583, 18589, 18593 -16837 , 10009, 9938, 9949, 10011, 18586, 18590, 18596, 18591 -16838 , 10010, 10009, 10011, 10012, 18587, 18586, 18591, 18592 -16839 , 9953, 10010, 10012, 9954, 18589, 18587, 18592, 18599 -16840 , 9960, 9959, 9961, 10013, 18595, 18594, 18601, 18602 -16841 , 9949, 9960, 10013, 10014, 18596, 18595, 18602, 18603 -16842 , 10011, 9949, 10014, 10015, 18591, 18596, 18603, 18597 -16843 , 10012, 10011, 10015, 10016, 18592, 18591, 18597, 18598 -16844 , 9954, 10012, 10016, 10017, 18599, 18592, 18598, 18607 -16845 , 9962, 9954, 10017, 9965, 18600, 18599, 18607, 18609 -16846 , 10013, 9961, 9969, 10018, 18602, 18601, 18611, 18604 -16847 , 10014, 10013, 10018, 10019, 18603, 18602, 18604, 18605 -16848 , 10015, 10014, 10019, 10020, 18597, 18603, 18605, 18606 -16849 , 10016, 10015, 10020, 9981, 18598, 18597, 18606, 18608 -16850 , 10017, 10016, 9981, 9982, 18607, 18598, 18608, 18610 -16851 , 9965, 10017, 9982, 9972, 18609, 18607, 18610, 18615 -16852 , 15142, 16233, 16236, 15159, 15486, 16291, 16294, 15487 -16853 , 10018, 9969, 9976, 9989, 18604, 18611, 18616, 18612 -16854 , 10019, 10018, 9989, 9992, 18605, 18604, 18612, 18613 -16855 , 10020, 10019, 9992, 9995, 18606, 18605, 18613, 18614 -16856 , 9981, 10020, 9995, 9983, 18608, 18606, 18614, 18617 -16857 , 15159, 16236, 16239, 15178, 15487, 16294, 16297, 15492 -16858 , 15619, 15616, 15400, 15482, 8634, 8638, 8473, 7044 -16859 , 12261, 15608, 15624, 12935, 15483, 15686, 15692, 15488 -16860 , 12935, 15624, 15628, 13285, 15488, 15692, 15699, 15489 -16861 , 13285, 15628, 15631, 13437, 15489, 15699, 15705, 15490 -16862 , 13437, 15631, 15634, 13613, 15490, 15705, 15622, 15491 -16863 , 13613, 15634, 15637, 13683, 15491, 15622, 15595, 12246 -16864 , 13683, 15637, 15641, 13897, 12246, 15595, 15600, 12295 -16865 , 13897, 15641, 15644, 14007, 12295, 15600, 15670, 12383 -16866 , 15178, 16239, 16241, 15198, 15492, 16297, 16300, 15495 -16867 , 14007, 15644, 15648, 14173, 12383, 15670, 15722, 12454 -16868 , 14173, 15648, 15650, 14322, 12454, 15722, 15726, 12525 -16869 , 15726, 15722, 15648, 15650, 15649, 15646, 15642, 15645 -16870 , 14477, 15654, 15658, 14639, 12950, 15741, 15754, 12990 -16871 , 15754, 15741, 15654, 15658, 15656, 15653, 15651, 15652 -16872 , 14639, 15658, 15661, 14776, 12990, 15754, 15749, 13020 -16873 , 14776, 15661, 15663, 14962, 13020, 15749, 15750, 13081 -16874 , 12599, 15730, 15726, 12525, 8486, 8691, 8672, 7739 -16875 , 15493, 15732, 15730, 12599, 7158, 8695, 8691, 8486 -16876 , 15198, 16241, 16302, 15494, 15495, 16300, 16358, 15498 -16877 , 12900, 15739, 15737, 15496, 8494, 8703, 8702, 7181 -16878 , 12950, 15741, 15739, 12900, 7842, 8679, 8703, 8494 -16879 , 16302, 16244, 15199, 15494, 16305, 16247, 15235, 15497 -16880 , 15494, 16302, 16305, 15497, 15498, 16358, 16364, 15501 -16881 , 16305, 16302, 16244, 16247, 16246, 16242, 16169, 16245 -16882 , 14287, 16084, 16086, 14296, 14726, 16174, 16178, 14748 -16883 , 16305, 8768, 8164, 15497, 16364, 8778, 8474, 15501 -16884 , 16250, 16179, 15252, 15248, 16308, 16315, 15500, 15499 -16885 , 16315, 16308, 16250, 16179, 16251, 16248, 16172, 16175 -16886 , 16368, 15502, 15499, 16308, 8782, 8475, 8170, 8773 -16887 , 15499, 15502, 16368, 16308, 15500, 15505, 16372, 16315 -16888 , 16364, 16424, 15503, 15501, 16358, 16363, 15507, 15498 -16889 , 15503, 16424, 16364, 15501, 8476, 8785, 8778, 8474 -16890 , 16427, 15504, 15502, 16368, 8788, 8477, 8475, 8782 -16891 , 15502, 15504, 16427, 16368, 15505, 15509, 16374, 16372 -16892 , 16424, 16480, 15506, 15503, 16363, 16422, 15511, 15507 -16893 , 15506, 16480, 16424, 15503, 8478, 8791, 8785, 8476 -16894 , 15504, 15508, 16481, 16427, 15509, 15512, 16484, 16374 -16895 , 16481, 15508, 15504, 16427, 8796, 8479, 8477, 8788 -16896 , 16484, 16481, 16427, 16374, 16428, 16425, 16366, 16369 -16897 , 16480, 16532, 15510, 15506, 16422, 16478, 15517, 15511 -16898 , 15510, 16532, 16480, 15506, 8487, 8800, 8791, 8478 -16899 , 16484, 15512, 15508, 16481, 8801, 8488, 8479, 8796 -16900 , 15512, 15513, 16534, 16484, 15514, 15518, 16487, 16432 -16901 , 16534, 15513, 15512, 16484, 8804, 8489, 8488, 8801 -16902 , 16484, 16374, 15509, 15512, 16432, 16377, 15558, 15514 -16903 , 10427, 10925, 10928, 10983, 8810, 8484, 8490, 8809 -16904 , 10983, 16545, 15515, 10928, 10989, 16506, 15526, 10951 -16905 , 15515, 16545, 10983, 10928, 8491, 8811, 8809, 8490 -16906 , 10427, 10270, 10310, 10983, 10268, 10265, 10262, 10884 -16907 , 15500, 16315, 16255, 15255, 15505, 16372, 16314, 15529 -16908 , 15686, 15692, 15488, 15483, 15695, 15701, 13277, 13251 -16909 , 16532, 16565, 15516, 15510, 16478, 16530, 15528, 15517 -16910 , 15516, 16565, 16532, 15510, 8495, 8821, 8800, 8487 -16911 , 16487, 15518, 15513, 16534, 8824, 8496, 8489, 8804 -16912 , 15518, 15519, 16490, 16487, 15514, 15521, 16435, 16432 -16913 , 16490, 15519, 15518, 16487, 8827, 8497, 8496, 8824 -16914 , 15519, 15520, 16494, 16490, 15521, 15523, 16438, 16435 -16915 , 16494, 15520, 15519, 16490, 8830, 8498, 8497, 8827 -16916 , 15520, 15522, 16566, 16494, 15524, 15530, 16568, 16497 -16917 , 16566, 15522, 15520, 16494, 8835, 8499, 8498, 8830 -16918 , 16494, 16438, 15523, 15520, 16497, 16441, 15571, 15524 -16919 , 16568, 16566, 16494, 16497, 16536, 16535, 16489, 16492 -16920 , 16545, 16570, 15525, 15515, 16506, 16546, 15534, 15526 -16921 , 15525, 16570, 16545, 15515, 8500, 8841, 8811, 8491 -16922 , 15516, 16565, 16581, 15527, 15528, 16530, 16562, 15536 -16923 , 16581, 16565, 15516, 15527, 8852, 8821, 8495, 8503 -16924 , 15255, 16255, 16258, 15261, 15529, 16314, 16318, 15539 -16925 , 16568, 15530, 15522, 16566, 8853, 8504, 8499, 8835 -16926 , 15530, 15531, 16539, 16568, 15524, 15533, 16500, 16497 -16927 , 16539, 15531, 15530, 16568, 8856, 8505, 8504, 8853 -16928 , 15531, 15532, 16543, 16539, 15533, 15535, 16503, 16500 -16929 , 16543, 15532, 15531, 16539, 8859, 8506, 8505, 8856 -16930 , 15532, 15534, 16546, 16543, 15535, 15526, 16506, 16503 -16931 , 16546, 15534, 15532, 16543, 8862, 8507, 8506, 8859 -16932 , 16570, 15525, 15534, 16546, 8841, 8500, 8507, 8862 -16933 , 16562, 16581, 15527, 15536, 10025, 8852, 8503, 8512 -16934 , 15536, 16562, 16582, 15537, 15538, 16560, 16580, 15541 -16935 , 16582, 16562, 15536, 15537, 8884, 10025, 8512, 8513 -16936 , 15528, 16530, 16562, 15536, 15586, 16527, 16560, 15538 -16937 , 16562, 16582, 16594, 16581, 10025, 8884, 8874, 8852 -16938 , 15261, 16258, 16261, 15282, 15539, 16318, 16321, 15546 -16939 , 15537, 16582, 16598, 15540, 15541, 16580, 16592, 15543 -16940 , 16598, 16582, 15537, 15540, 8887, 8884, 8513, 8516 -16941 , 15540, 16598, 16603, 15542, 15543, 16592, 16599, 15544 -16942 , 16603, 16598, 15540, 15542, 8895, 8887, 8516, 8518 -16943 , 16599, 16603, 15542, 15544, 8903, 8895, 8518, 8520 -16944 , 15544, 16599, 16605, 15545, 11777, 11906, 12232, 11720 -16945 , 16605, 16599, 15544, 15545, 8906, 8903, 8520, 8521 -16946 , 15543, 16592, 16599, 15544, 11772, 12237, 11906, 11777 -16947 , 15282, 16261, 16264, 15296, 15546, 16321, 16324, 15547 -16948 , 12232, 16605, 15545, 11720, 8916, 8906, 8521, 8523 -16949 , 15296, 16264, 16267, 15311, 15547, 16324, 16327, 15548 -16950 , 15311, 16267, 10981, 10930, 15548, 16327, 10985, 10940 -16951 , 15692, 15699, 15489, 15488, 15701, 15707, 13296, 13277 -16952 , 10962, 10993, 16273, 15452, 10945, 10968, 10987, 10960 -16953 , 15452, 16273, 16276, 15462, 10960, 10987, 16334, 15549 -16954 , 15462, 16276, 16279, 15477, 15549, 16334, 16337, 15550 -16955 , 15477, 16279, 16282, 15481, 15550, 16337, 16340, 15551 -16956 , 15699, 15705, 15490, 15489, 15707, 15711, 13308, 13296 -16957 , 15481, 16282, 16285, 15484, 15551, 16340, 16343, 15552 -16958 , 15484, 16285, 16288, 15485, 15552, 16343, 16346, 15553 -16959 , 15485, 16288, 16291, 15486, 15553, 16346, 16349, 15554 -16960 , 15486, 16291, 16294, 15487, 15554, 16349, 16352, 15555 -16961 , 15487, 16294, 16297, 15492, 15555, 16352, 16355, 15556 -16962 , 15492, 16297, 16300, 15495, 15556, 16355, 16360, 15557 -16963 , 15495, 16300, 16358, 15498, 15557, 16360, 16363, 15507 -16964 , 15705, 15622, 15491, 15490, 15711, 15596, 12248, 13308 -16965 , 15505, 16372, 16314, 15529, 15509, 16374, 16377, 15558 -16966 , 15529, 16314, 16318, 15539, 15558, 16377, 16380, 15559 -16967 , 15539, 16318, 16321, 15546, 15559, 16380, 16383, 15560 -16968 , 15546, 16321, 16324, 15547, 15560, 16383, 16386, 15561 -16969 , 15547, 16324, 16327, 15548, 15561, 16386, 16389, 15562 -16970 , 15548, 16327, 10985, 10940, 15562, 16389, 10988, 10949 -16971 , 17551, 17862, 17861, 17550, 17863, 17868, 17867, 17854 -16972 , 17868, 17867, 17854, 17863, 18159, 18158, 18142, 18143 -16973 , 10960, 10987, 16334, 15549, 10953, 10971, 10991, 10959 -16974 , 15549, 16334, 16337, 15550, 10959, 10991, 16398, 15563 -16975 , 15550, 16337, 16340, 15551, 15563, 16398, 16401, 15564 -16976 , 15551, 16340, 16343, 15552, 15564, 16401, 16404, 15565 -16977 , 15552, 16343, 16346, 15553, 15565, 16404, 16407, 15566 -16978 , 15553, 16346, 16349, 15554, 15566, 16407, 16410, 15567 -16979 , 15554, 16349, 16352, 15555, 15567, 16410, 16413, 15568 -16980 , 15555, 16352, 16355, 15556, 15568, 16413, 16416, 15569 -16981 , 15556, 16355, 16360, 15557, 15569, 16416, 16419, 15570 -16982 , 15557, 16360, 16363, 15507, 15570, 16419, 16422, 15511 -16983 , 15558, 16377, 16380, 15559, 15514, 16432, 16435, 15521 -16984 , 15559, 16380, 16383, 15560, 15521, 16435, 16438, 15523 -16985 , 15560, 16383, 16386, 15561, 15523, 16438, 16441, 15571 -16986 , 15561, 16386, 16389, 15562, 15571, 16441, 16444, 15572 -16987 , 15562, 16389, 10988, 10949, 15572, 16444, 16447, 15573 -16988 , 16447, 10988, 10949, 15573, 10989, 10986, 10942, 10951 -16989 , 10959, 10991, 16398, 15563, 10958, 10990, 16454, 15574 -16990 , 15563, 16398, 16401, 15564, 15574, 16454, 16457, 15575 -16991 , 15564, 16401, 16404, 15565, 15575, 16457, 16460, 15576 -16992 , 15565, 16404, 16407, 15566, 15576, 16460, 16463, 15577 -16993 , 15566, 16407, 16410, 15567, 15577, 16463, 16466, 15578 -16994 , 15567, 16410, 16413, 15568, 15578, 16466, 16469, 15579 -16995 , 15568, 16413, 16416, 15569, 15579, 16469, 16472, 15580 -16996 , 15569, 16416, 16419, 15570, 15580, 16472, 16475, 15581 -16997 , 15570, 16419, 16422, 15511, 15581, 16475, 16478, 15517 -16998 , 15571, 16441, 16444, 15572, 15524, 16497, 16500, 15533 -16999 , 15572, 16444, 16447, 15573, 15533, 16500, 16503, 15535 -17000 , 15573, 16447, 10989, 10951, 15535, 16503, 16506, 15526 -17001 , 10958, 10990, 16454, 15574, 11782, 11791, 11794, 11740 -17002 , 15574, 16454, 16457, 15575, 11740, 11794, 11799, 11742 -17003 , 15575, 16457, 16460, 15576, 11742, 11799, 12234, 11781 -17004 , 15576, 16460, 16463, 15577, 11781, 12234, 16515, 15582 -17005 , 15577, 16463, 16466, 15578, 15582, 16515, 16518, 15583 -17006 , 15578, 16466, 16469, 15579, 15583, 16518, 16521, 15584 -17007 , 15579, 16469, 16472, 15580, 15584, 16521, 16524, 15585 -17008 , 15580, 16472, 16475, 15581, 15585, 16524, 16527, 15586 -17009 , 15581, 16475, 16478, 15517, 15586, 16527, 16530, 15528 -17010 , 11781, 12234, 16515, 15582, 11748, 11818, 11827, 11751 -17011 , 15582, 16515, 16518, 15583, 11751, 11827, 12235, 11780 -17012 , 15583, 16518, 16521, 15584, 11780, 12235, 16554, 15587 -17013 , 15584, 16521, 16524, 15585, 15587, 16554, 16557, 15588 -17014 , 15585, 16524, 16527, 15586, 15588, 16557, 16560, 15538 -17015 , 11780, 12235, 16554, 15587, 11759, 11850, 12236, 11763 -17016 , 15587, 16554, 16557, 15588, 11763, 12236, 16577, 15589 -17017 , 15588, 16557, 16560, 15538, 15589, 16577, 16580, 15541 -17018 , 11763, 12236, 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+105521, 40376, 40384, 40412, 40735, 112229, 112233, 112230, 112227 +105522, 40735, 40412, 40763, 40736, 112227, 112230, 112231, 112228 +105523, 40412, 40413, 40425, 40763, 112230, 112237, 112234, 112231 +105524, 40763, 40425, 40426, 40764, 112231, 112234, 112235, 112232 +105525, 40764, 40426, 40427, 40765, 112232, 112235, 112236, 108269 +105526, 112139, 112134, 112126, 112127, 112186, 112185, 112174, 112175 From bdcea0a82347918a3e49ccb50369292fcd9b6c78 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 20 Oct 2021 22:54:28 +0530 Subject: [PATCH 076/106] Changes to the fine cellcenter files --- examples/ex5/fine_cellcentres.txt | 4764 ++++++++++++++--------------- 1 file changed, 2382 insertions(+), 2382 deletions(-) diff --git a/examples/ex5/fine_cellcentres.txt b/examples/ex5/fine_cellcentres.txt index 3f2cda15..23a3eccc 100644 --- a/examples/ex5/fine_cellcentres.txt +++ b/examples/ex5/fine_cellcentres.txt @@ -32036,2388 +32036,2388 @@ 32036 -0.0127156 -0.368028 -0.056908 msc 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-0.024592 stem +34407 -0.00809511 -0.339322 -0.0222617 stem +34408 -0.00809615 -0.339352 -0.0199405 stem +34409 -0.00809165 -0.339361 -0.017624 stem +34410 -0.00806535 -0.33684 -0.0246462 stem +34411 -0.0080881 -0.336919 -0.0222859 stem +34412 -0.00809745 -0.336954 -0.0199496 stem +34413 -0.00809165 -0.336972 -0.017624 stem +34414 -0.00806284 -0.33449 -0.0246613 stem +34415 -0.00807697 -0.334537 -0.0222997 stem +34416 -0.00809084 -0.334568 -0.019953 stem +34417 -0.00809165 -0.334584 -0.017624 stem +34418 -0.00115576 -0.35369 -0.017627 stem +34419 -0.00115583 -0.351302 -0.0153148 stem +34420 -0.00346744 -0.353691 -0.0176263 stem 34421 0.0104036 -0.329805 0.00779511 cerebellum 34422 0.00809165 -0.329805 0.00779511 cerebellum 34423 0.00809165 -0.329805 0.00548428 cerebellum From 94d84cc6fbe176c0e38ce6090ee83f3c1f97a519 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Thu, 21 Oct 2021 18:19:51 +0530 Subject: [PATCH 077/106] Added dynamic damping as input --- examples/ex5/ex5.cpp | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 682d4b7d..687650f9 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -177,6 +177,10 @@ int main(int argc, char **argv) { if (reducedIntegration) { FILE_LOG_MASTER(INFO, "Solver using reduced integration"); } + if (!simulationJson["dynamic-damping"].empty()) { + dynamicDamping = simulationJson["dynamic-damping"].asDouble(); + } + FILE_LOG_MASTER(INFO, "Dynamic damping set to : %.3f", dynamicDamping); FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); // Read Input Mesh file and equally partition elements among processes ReadInputFile(meshFile.c_str()); From 3d5fdfb6c4bcec8e4f2405c1b68a4f33aaf9f889 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 22 Oct 2021 21:43:47 +0530 Subject: [PATCH 078/106] Changed reduced integration default to false --- examples/ex5/ex5.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 687650f9..3097963e 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -36,7 +36,7 @@ int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; -bool reducedIntegration = true; +bool reducedIntegration = false; double dynamicDamping = 0.000; double ExplicitTimeStepReduction = 0.8; From 908d8daf76b55d4def63eba936dec8ea54f38e1f Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 22 Oct 2021 22:04:26 +0530 Subject: [PATCH 079/106] Changes to test for previous commit --- examples/ex5/input_test_x.json | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/examples/ex5/input_test_x.json b/examples/ex5/input_test_x.json index 5a2487cf..ebbfce2f 100644 --- a/examples/ex5/input_test_x.json +++ b/examples/ex5/input_test_x.json @@ -89,6 +89,7 @@ "angular-to-linear-frame" : ["-y", "-x", "z"], "head-cg" : [0.0, -0.3308, -0.037], "angular-sensor-position" : [0.025, -0.281, -0.089757], - "write-vtu" : false + "write-vtu" : false, + "reduced-integration" : true } } From 29f0e69991f7095fe8aa3df76cb18f457d522ff7 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 26 Oct 2021 23:47:01 +0530 Subject: [PATCH 080/106] Corrected addGraph script for angular velocity data --- .gitignore | 2 ++ examples/ex5/addGraph.py | 27 ++++++++++++++++++++------- 2 files changed, 22 insertions(+), 7 deletions(-) diff --git a/.gitignore b/.gitignore index 79f834b4..6bcbd826 100644 --- a/.gitignore +++ b/.gitignore @@ -22,3 +22,5 @@ project.vcxproj.user.in CMakeCache.txt CMakeFiles examples/ex19/ls-dyna +# Temp, work in progress +runSimulation.sh diff --git a/examples/ex5/addGraph.py b/examples/ex5/addGraph.py index 464b6eb1..c768df75 100644 --- a/examples/ex5/addGraph.py +++ b/examples/ex5/addGraph.py @@ -58,16 +58,26 @@ linXt = simulationJson["linear-acceleration"]["xt"] linYt = simulationJson["linear-acceleration"]["yt"] linZt = simulationJson["linear-acceleration"]["zt"] - angXt = simulationJson["angular-acceleration"]["xt"] - angYt = simulationJson["angular-acceleration"]["yt"] - angZt = simulationJson["angular-acceleration"]["zt"] + if 'angular-acceleration' in simulationJson: + angXt = simulationJson["angular-acceleration"]["xt"] + angYt = simulationJson["angular-acceleration"]["yt"] + angZt = simulationJson["angular-acceleration"]["zt"] + else: + angXt = simulationJson["angular-velocity"]["xt"] + angYt = simulationJson["angular-velocity"]["yt"] + angZt = simulationJson["angular-velocity"]["zt"] linXv = simulationJson["linear-acceleration"]["xv"] linYv = simulationJson["linear-acceleration"]["yv"] linZv = simulationJson["linear-acceleration"]["zv"] - angXv = simulationJson["angular-acceleration"]["xv"] - angYv = simulationJson["angular-acceleration"]["yv"] - angZv = simulationJson["angular-acceleration"]["zv"] + if 'angular-acceleration' in simulationJson: + angXv = simulationJson["angular-acceleration"]["xv"] + angYv = simulationJson["angular-acceleration"]["yv"] + angZv = simulationJson["angular-acceleration"]["zv"] + else: + angXv = simulationJson["angular-velocity"]["xv"] + angYv = simulationJson["angular-velocity"]["yv"] + angZv = simulationJson["angular-velocity"]["zv"] linArrayX = np.interp(tArray, linXt, linXv) linArrayY = np.interp(tArray, linYt, linYv) @@ -123,7 +133,10 @@ axes2.set_facecolor((.80, .80, .80)) label = axes2.set_xlabel("time [msec]", color="white") label = axes2.set_ylabel("acceleration [g]", color=color1) - label = p1.set_ylabel(r"[$rad/s^2$]", color=color2) + if 'angular-acceleration' in simulationJson: + label = p1.set_ylabel(r"[$rad/s^2$]", color=color2) + else: + label = p1.set_ylabel(r"[$rad/s$]", color=color2) axes2.tick_params(labelcolor='white') p1.tick_params(labelcolor='white') lns = [l1, l2] From c989283976eaa7659e623ecb47d6713ba9c4d5f9 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 27 Oct 2021 12:38:28 +0530 Subject: [PATCH 081/106] Priliminary code with pressure BC on full brain --- .travis.yml | 2 +- Dockerfile | 5 +- examples/CMakeLists.txt | 5 + examples/ex19/CMakeLists.txt | 1 - examples/ex21/CMakeLists.txt | 29 + examples/ex21/README.md | 10 + examples/ex21/coarse_brain.inp | 35664 ++++++++++++++++++++++ examples/ex21/ex21.cpp | 1278 + examples/ex21/fine_brain.inp | 32262 +++++++++++++++++++ examples/ex21/materials.dat | 26 + examples/ex21/pressureInput.json | 8088 +++++ examples/ex21/template.vcxproj.user.in | 8 + examples/ex5/addGraph.py | 193 +- examples/ex5/updateOutputJson.py | 116 +- src/fem/SolidMechanics/StressUpdate.cpp | 2 +- src/materials/CMakeLists.txt | 1 - src/materials/NeoHookeanAbaqus.cpp | 8 +- 17 files changed, 77537 insertions(+), 161 deletions(-) create mode 100644 examples/ex21/CMakeLists.txt create mode 100644 examples/ex21/README.md create mode 100644 examples/ex21/coarse_brain.inp create mode 100644 examples/ex21/ex21.cpp create mode 100644 examples/ex21/fine_brain.inp create mode 100644 examples/ex21/materials.dat create mode 100644 examples/ex21/pressureInput.json create mode 100644 examples/ex21/template.vcxproj.user.in diff --git a/.travis.yml b/.travis.yml index 5f0c4ac2..1f50abb2 100644 --- a/.travis.yml +++ b/.travis.yml @@ -39,7 +39,7 @@ before_script: # Run your build commands next - mkdir build - cd build/ - - cmake .. -DEXAMPLES=ON -DEXAMPLE9=ON -DEXAMPLE1=ON -DEXAMPLE10=ON -DEXAMPLE5=ON + - cmake .. -DEXAMPLES=ON -DEXAMPLE9=ON -DEXAMPLE1=ON -DEXAMPLE10=ON -DEXAMPLE5=ON -DEXAMPLE21=ON - if [ "$TRAVIS_BRANCH" = "develop" ] || [ "$TRAVIS_BRANCH" = "CI" ]; then docker pull $DOCKER_REPO:production || true; docker pull $DOCKER_REPO:develop || true; diff --git a/Dockerfile b/Dockerfile index 3a901c09..9941bc1d 100644 --- a/Dockerfile +++ b/Dockerfile @@ -22,7 +22,7 @@ RUN cd FemTech/build_native;cmake .. -DEXAMPLES=ON -DEXAMPLE5=ON; make -j 8; RUN if [ "$PARCH" != "native" ]; then \ mkdir FemTech/build_$PARCH && \ cd FemTech/build_$PARCH && \ - cmake .. -DPROC_ARCH=$PARCH -DEXAMPLES=ON -DEXAMPLE5=ON && \ + cmake .. -DPROC_ARCH=$PARCH -DEXAMPLES=ON -DEXAMPLE5=ON -DEXAMPLE21=ON && \ make -j 8; \ fi @@ -58,6 +58,9 @@ COPY --from=buildFemTech ["/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/ex5" "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/fine_cellcentres.txt", \ "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/coarse_cellcentres.txt", \ "/home/ubuntu/FemTech/build_${PARCH}/examples/ex5/updateOutputJson.py", \ + "/home/ubuntu/FemTech/build_${PARCH}/examples/ex21/ex21", \ "/home/ubuntu/FemTechRun/"] +COPY --from=buildFemTech "/home/ubuntu/FemTech/build_${PARCH}/examples/ex21/materials.dat" "/home/ubuntu/FemTechRun/materialsPressure.dat" + # To create image : docker build --pull --cache-from nsfcareer/femtech:develop --cache-from nsfcareer/femtech:production --tag nsfcareer/femtech:production -f Dockerfile . diff --git a/examples/CMakeLists.txt b/examples/CMakeLists.txt index ac944678..df4a7a35 100644 --- a/examples/CMakeLists.txt +++ b/examples/CMakeLists.txt @@ -18,6 +18,7 @@ option (EXAMPLE17 "Plate Impact problem of Valerie Martin - abaqus inp format" option (EXAMPLE18 "Full Brain model validation" OFF) option (EXAMPLE19 "3D Cuboid Shear Test" OFF) option (EXAMPLE20 "3D Cuboid Traction BC Test" OFF) +option (EXAMPLE21 "3D Brain Sim Pressure" OFF) option (Benchmarking-Parallel "Parallel-Benchmarks" OFF) if (EXAMPLE1) @@ -102,6 +103,10 @@ if (EXAMPLE20) add_subdirectory(ex20) endif (EXAMPLE20) +if (EXAMPLE21) + add_subdirectory(ex21) +endif (EXAMPLE21) + if (Benchmarking-Parallel) add_subdirectory(Benchmarking-Parallel) endif (Benchmarking-Parallel) diff --git a/examples/ex19/CMakeLists.txt b/examples/ex19/CMakeLists.txt index eb10cbb2..dfcdb4e1 100644 --- a/examples/ex19/CMakeLists.txt +++ b/examples/ex19/CMakeLists.txt @@ -14,7 +14,6 @@ file(INSTALL 1-elt-cube.k DESTINATION .) file(INSTALL materials.dat DESTINATION .) file(INSTALL gnuplot.script DESTINATION .) file(INSTALL README.md DESTINATION .) -file(INSTALL ls-dyna DESTINATION .) file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results) file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results/vtu) diff --git a/examples/ex21/CMakeLists.txt b/examples/ex21/CMakeLists.txt new file mode 100644 index 00000000..9115faeb --- /dev/null +++ b/examples/ex21/CMakeLists.txt @@ -0,0 +1,29 @@ +SET(ex21_src ex21.cpp) + +ADD_EXECUTABLE(ex21 ${ex21_src}) +ADD_DEPENDENCIES(ex21 JsonCpp) + +if(ENABLE_MPI) + LINK_DIRECTORIES(${CMAKE_BINARY_DIR}/lib ${CMAKE_BINARY_DIR}/third-party/parmetis-4.0.3/libparmetis) + TARGET_LINK_LIBRARIES(ex21 FemTech parmetis ${lapackblas_libraries} jsoncpp) +else() + LINK_DIRECTORIES(${CMAKE_BINARY_DIR}/lib) + TARGET_LINK_LIBRARIES(ex5 FemTech) +endif(ENABLE_MPI) + +file(INSTALL fine_brain.inp DESTINATION .) +file(INSTALL coarse_brain.inp DESTINATION .) +file(INSTALL materials.dat DESTINATION .) +file(INSTALL pressureInput.json DESTINATION .) +file(INSTALL README.md DESTINATION .) +file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results) +file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results/vtu) + +# Define debugger options when working with windows & visual studio generator +# We set them here but could be passed as options if required +# We use a template for the same, replacing the options we need +if(WIN32 AND MSVC) + set( DEBUG_COMMAND "C:\\Program Files\\Microsoft MPI\\Bin\\mpiexec.exe" ) + set( DEBUG_COMMAND_ARGUMENTS "-n 2 \"$(TargetPath)\" fine_brain.inp" ) + configure_file( template.vcxproj.user.in ${CMAKE_BINARY_DIR}/examples/ex5/ex5.vcxproj.user @ONLY ) +endif() diff --git a/examples/ex21/README.md b/examples/ex21/README.md new file mode 100644 index 00000000..46d857de --- /dev/null +++ b/examples/ex21/README.md @@ -0,0 +1,10 @@ +# To run: +## On windows, linux +prompt> mpirun -n 2 ex21 pressureInput.json + +## On AWS instances + mpirun --allow-run-as-root -np 8 --mca btl_base_warn_component_unused 0 -mca btl_vader_single_copy_mechanism none --oversubscribe ex21 pressureInput.json + +## On windows: +-start x, at prompt type: startxwin +-cygstart plot.png diff --git a/examples/ex21/coarse_brain.inp b/examples/ex21/coarse_brain.inp new file mode 100644 index 00000000..029dc80b --- /dev/null +++ b/examples/ex21/coarse_brain.inp @@ -0,0 +1,35664 @@ +************************************* +*HEADING +FemTech +************************************* +*NODE, NSET=All +1, 0, -0.418044, -0.055459 +2, 0, -0.418739, -0.051093 +3, 0.004502, -0.418691, -0.051473 +4, 0.003645, -0.4181, -0.05527 +5, 0.005796, -0.416427, -0.057959 +6, 0, -0.416319, -0.059034 +7, 0.003635, -0.309406, 0.009582 +8, 0.003692, -0.309622, 0.013871 +9, 0, -0.309585, 0.013761 +10, 0, -0.309382, 0.009525 +11, 0.007903, -0.308332, 0.009024 +12, 0.007959, -0.308429, 0.014765 +13, 0.006543, -0.308168, 0.004022 +14, 0.002992, -0.309764, 0.004969 +15, 0, -0.309728, 0.004936 +16, 0.003892, -0.310615, 0.018769 +17, 0, -0.310549, 0.018391 +18, 0.007706, -0.308311, 0.021622 +19, 0, -0.312975, 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15513, 16534, 16484, 15514, 15518, 16487, 16432 +16903, 16534, 15513, 15512, 16484, 8804, 8489, 8488, 8801 +16904, 16484, 16374, 15509, 15512, 16432, 16377, 15558, 15514 +16905, 10427, 10925, 10928, 10983, 8810, 8484, 8490, 8809 +16906, 10983, 16545, 15515, 10928, 10989, 16506, 15526, 10951 +16907, 15515, 16545, 10983, 10928, 8491, 8811, 8809, 8490 +16908, 10427, 10270, 10310, 10983, 10268, 10265, 10262, 10884 +16909, 15500, 16315, 16255, 15255, 15505, 16372, 16314, 15529 +16910, 15686, 15692, 15488, 15483, 15695, 15701, 13277, 13251 +16911, 16532, 16565, 15516, 15510, 16478, 16530, 15528, 15517 +16912, 15516, 16565, 16532, 15510, 8495, 8821, 8800, 8487 +16913, 16487, 15518, 15513, 16534, 8824, 8496, 8489, 8804 +16914, 15518, 15519, 16490, 16487, 15514, 15521, 16435, 16432 +16915, 16490, 15519, 15518, 16487, 8827, 8497, 8496, 8824 +16916, 15519, 15520, 16494, 16490, 15521, 15523, 16438, 16435 +16917, 16494, 15520, 15519, 16490, 8830, 8498, 8497, 8827 +16918, 15520, 15522, 16566, 16494, 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8862 +16935, 16562, 16581, 15527, 15536, 10025, 8852, 8503, 8512 +16936, 15536, 16562, 16582, 15537, 15538, 16560, 16580, 15541 +16937, 16582, 16562, 15536, 15537, 8884, 10025, 8512, 8513 +16938, 15528, 16530, 16562, 15536, 15586, 16527, 16560, 15538 +16939, 16562, 16582, 16594, 16581, 10025, 8884, 8874, 8852 +16940, 15261, 16258, 16261, 15282, 15539, 16318, 16321, 15546 +16941, 15537, 16582, 16598, 15540, 15541, 16580, 16592, 15543 +16942, 16598, 16582, 15537, 15540, 8887, 8884, 8513, 8516 +16943, 15540, 16598, 16603, 15542, 15543, 16592, 16599, 15544 +16944, 16603, 16598, 15540, 15542, 8895, 8887, 8516, 8518 +16945, 16599, 16603, 15542, 15544, 8903, 8895, 8518, 8520 +16946, 15544, 16599, 16605, 15545, 11777, 11906, 12232, 11720 +16947, 16605, 16599, 15544, 15545, 8906, 8903, 8520, 8521 +16948, 15543, 16592, 16599, 15544, 11772, 12237, 11906, 11777 +16949, 15282, 16261, 16264, 15296, 15546, 16321, 16324, 15547 +16950, 12232, 16605, 15545, 11720, 8916, 8906, 8521, 8523 +16951, 15296, 16264, 16267, 15311, 15547, 16324, 16327, 15548 +16952, 15311, 16267, 10981, 10930, 15548, 16327, 10985, 10940 +16953, 15692, 15699, 15489, 15488, 15701, 15707, 13296, 13277 +16954, 10962, 10993, 16273, 15452, 10945, 10968, 10987, 10960 +16955, 15452, 16273, 16276, 15462, 10960, 10987, 16334, 15549 +16956, 15462, 16276, 16279, 15477, 15549, 16334, 16337, 15550 +16957, 15477, 16279, 16282, 15481, 15550, 16337, 16340, 15551 +16958, 15699, 15705, 15490, 15489, 15707, 15711, 13308, 13296 +16959, 15481, 16282, 16285, 15484, 15551, 16340, 16343, 15552 +16960, 15484, 16285, 16288, 15485, 15552, 16343, 16346, 15553 +16961, 15485, 16288, 16291, 15486, 15553, 16346, 16349, 15554 +16962, 15486, 16291, 16294, 15487, 15554, 16349, 16352, 15555 +16963, 15487, 16294, 16297, 15492, 15555, 16352, 16355, 15556 +16964, 15492, 16297, 16300, 15495, 15556, 16355, 16360, 15557 +16965, 15495, 16300, 16358, 15498, 15557, 16360, 16363, 15507 +16966, 15705, 15622, 15491, 15490, 15711, 15596, 12248, 13308 +16967, 15505, 16372, 16314, 15529, 15509, 16374, 16377, 15558 +16968, 15529, 16314, 16318, 15539, 15558, 16377, 16380, 15559 +16969, 15539, 16318, 16321, 15546, 15559, 16380, 16383, 15560 +16970, 15546, 16321, 16324, 15547, 15560, 16383, 16386, 15561 +16971, 15547, 16324, 16327, 15548, 15561, 16386, 16389, 15562 +16972, 15548, 16327, 10985, 10940, 15562, 16389, 10988, 10949 +16973, 17551, 17862, 17861, 17550, 17863, 17868, 17867, 17854 +16974, 17868, 17867, 17854, 17863, 18159, 18158, 18142, 18143 +16975, 10960, 10987, 16334, 15549, 10953, 10971, 10991, 10959 +16976, 15549, 16334, 16337, 15550, 10959, 10991, 16398, 15563 +16977, 15550, 16337, 16340, 15551, 15563, 16398, 16401, 15564 +16978, 15551, 16340, 16343, 15552, 15564, 16401, 16404, 15565 +16979, 15552, 16343, 16346, 15553, 15565, 16404, 16407, 15566 +16980, 15553, 16346, 16349, 15554, 15566, 16407, 16410, 15567 +16981, 15554, 16349, 16352, 15555, 15567, 16410, 16413, 15568 +16982, 15555, 16352, 16355, 15556, 15568, 16413, 16416, 15569 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16475, 15581 +16999, 15570, 16419, 16422, 15511, 15581, 16475, 16478, 15517 +17000, 15571, 16441, 16444, 15572, 15524, 16497, 16500, 15533 +17001, 15572, 16444, 16447, 15573, 15533, 16500, 16503, 15535 +17002, 15573, 16447, 10989, 10951, 15535, 16503, 16506, 15526 +17003, 10958, 10990, 16454, 15574, 11782, 11791, 11794, 11740 +17004, 15574, 16454, 16457, 15575, 11740, 11794, 11799, 11742 +17005, 15575, 16457, 16460, 15576, 11742, 11799, 12234, 11781 +17006, 15576, 16460, 16463, 15577, 11781, 12234, 16515, 15582 +17007, 15577, 16463, 16466, 15578, 15582, 16515, 16518, 15583 +17008, 15578, 16466, 16469, 15579, 15583, 16518, 16521, 15584 +17009, 15579, 16469, 16472, 15580, 15584, 16521, 16524, 15585 +17010, 15580, 16472, 16475, 15581, 15585, 16524, 16527, 15586 +17011, 15581, 16475, 16478, 15517, 15586, 16527, 16530, 15528 +17012, 11781, 12234, 16515, 15582, 11748, 11818, 11827, 11751 +17013, 15582, 16515, 16518, 15583, 11751, 11827, 12235, 11780 +17014, 15583, 16518, 16521, 15584, 11780, 12235, 16554, 15587 +17015, 15584, 16521, 16524, 15585, 15587, 16554, 16557, 15588 +17016, 15585, 16524, 16527, 15586, 15588, 16557, 16560, 15538 +17017, 11780, 12235, 16554, 15587, 11759, 11850, 12236, 11763 +17018, 15587, 16554, 16557, 15588, 11763, 12236, 16577, 15589 +17019, 15588, 16557, 16560, 15538, 15589, 16577, 16580, 15541 +17020, 11763, 12236, 16577, 15589, 11764, 11877, 12237, 11772 +17021, 15589, 16577, 16580, 15541, 11772, 12237, 16592, 15543 +17022, 11968, 10591, 10586, 12035, 11195, 10584, 10583, 11202 +17023, 10797, 16328, 16390, 10262, 10815, 10984, 10986, 10884 +17024, 16268, 16328, 10797, 10796, 10982, 10984, 10815, 10885 +17025, 11184, 11174, 10570, 10635, 10658, 10579, 10573, 10638 +17026, 10635, 11184, 11804, 10636, 11176, 11185, 11261, 11267 +17027, 11267, 10636, 11792, 11791, 11261, 11804, 11795, 11796 +17028, 11187, 11182, 11174, 11184, 11830, 10584, 10579, 10658 +17029, 10954, 10972, 10973, 10955, 11134, 11176, 11267, 15590 +17030, 10955, 10973, 10990, 10958, 15590, 11267, 11791, 11782 +17031, 11134, 11176, 11267, 15590, 11138, 11185, 11261, 11143 +17032, 15590, 11267, 11791, 11782, 11143, 11261, 11796, 11745 diff --git a/examples/ex21/ex21.cpp b/examples/ex21/ex21.cpp new file mode 100644 index 00000000..8a3d5cf9 --- /dev/null +++ b/examples/ex21/ex21.cpp @@ -0,0 +1,1278 @@ +#include "FemTech.h" +#include "jsonfuncs.h" +#include "utilities.h" +#include "gitbranch.h" + +#include "json/writer.h" + +#include +#include // For JSON output +#include +#include +#include // For JSON output unique pointer +#include + +using namespace std; + +/*Declare Functions*/ +void InitCustomPlot(const Json::Value &jsonInput); +double InitBoundaryCondition(const Json::Value &jsonInput); +void InitInjuryCriteria(void); +void CustomPlot(); +void ApplyPressureBoundaryConditions(); +void CalculateInjuryCriteria(void); +void WriteOutputFile(); +void WriteMPS(void); + +/* Global Variables/Parameters */ +double Time = 0.0, dt; +int nSteps; +bool ImplicitStatic = false; +bool ImplicitDynamic = false; +bool ExplicitDynamic = true; + +double dynamicDamping = 0.000; +double ExplicitTimeStepReduction = 0.8; +double FailureTimeStep = 1e-8; // Set for max runtime of around 5 hrs on aws +double MaxTimeStep = 1e-5; +int nPlotSteps = 50; +int nWriteSteps = 100; + +/* Hard coded BC nodes */ +const unsigned int pressureBCNodeCount = 72; +const unsigned int fixedBCNodeCount = 117; +const unsigned int pressureBCNode[pressureBCNodeCount] = { + 5577, 2059, 5571, 2066, 2065, 2058, 5005, 5011, + 2259, 1470, 1461, 1885, 5000, 5003, 5009, 5019, + 5022, 2260, 1482, 1480, 1469, 1460, 1456, 1458, + 1884, 5002, 5001, 5004, 5010, 5018, 5020, 1479, + 1478, 1468, 1459, 1457, 4992, 5181, 5021, 5023, + 5028, 1489, 1483, 1481, 1646, 1443, 4991, 4993, + 1770, 1445, 1444, 5030, 5029, 5031, 2563, 1492, + 1491, 1490, 4989, 4980, 4979, 4988, 4981, 4990, + 1649, 1769, 1433, 1442, 1432, 1440, 1431, 1441 +}; +const unsigned int fixedBCNode[fixedBCNodeCount] = { + 3134, 3137, 3142, 2740, 2727, 2975, 2976, 2978, + 2980, 2983, 2985, 6414, 6413, 6412, 6411, 6410, + 6409, 6196, 6203, 6557, 6560, 6561, 6821, 6550, + 6546, 6547, 6211, 6204, 6415, 6416, 6417, 6418, + 6419, 6420, 6421, 6422, 6428, 6429, 6430, 6423, + 6424, 6431, 6432, 6433, 6425, 6426, 6434, 6427, + 6856, 6864, 6865, 6857, 6866, 6858, 3141, 3138, + 3133, 2741, 2730, 2974, 2977, 2979, 2981, 2982, + 2984, 2991, 2992, 2999, 3000, 2993, 2994, 2989, + 2990, 2988, 2995, 3001, 3002, 2996, 2987, 2986, + 2744, 2749, 3123, 3124, 3120, 2997, 3004, 3003, + 3005, 2998, 3459, 3467, 3468, 3460, 3420, 3461, + 3469, 6435, 6436, 6437, 6438, 6439, 6440, 6441, + 6869, 6870, 6871, 3474, 3473, 3472, 3012, 3011, + 3010, 3009, 3008, 3007, 3006 +}; + +/* Global variables used only in this file */ +int nodeIDtoPlot; +bool rankForCustomPlot; +bool outputRelativeDisplacement = true; +/* Global variables for bc */ +int *staticBoundaryID = NULL; +int *pressureBoundaryID = NULL; +double *pressureNodalArea = NULL; +int staticBoundarySize; +int pressureBoundarySize; +double peakTime, tMax; +bool writeField = true; +bool computeInjuryFlag = true; +/* Global variables for output */ +int *outputNodeList; +int outputNodeCount = 0; +int *outputElemList; +int outputElemCount = 0; +MPI_Comm output_comm; +MPI_File outputFilePtr; +int output_size, output_rank; +double *outputElemStress; + +/* Variables for injury metrics */ +/* Variables to compute maximum quatities over time and space */ +/* 0. Maximum principal strain, 1. Maximum principal shear, + * 2. Maximum principal strain times strain rate + * 3. Minimum principal strain + * */ +const int maxQuantities = 4; +const std::string maxOutput[maxQuantities] = { + "principal-max-strain", "maximum-shear-strain", "maximum-PSxSR", + "principal-min-strain"}; +const MPI_Op outputOperator[maxQuantities] = {MPI_MAXLOC, MPI_MAXLOC, + MPI_MAXLOC, MPI_MINLOC}; + +double maxValue[maxQuantities], maxTime[maxQuantities]; +int maxElem[maxQuantities]; + +/* Percentile variables */ +/* 0. MPS - 95 Percentile + * 1. MPSxSR - 95 Percentile + */ +const int percentileQuantities = 2; +int *percentileElements[percentileQuantities]; +double percentileTime[percentileQuantities]; +double percentileValue[percentileQuantities]; +const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95"}; +/* Threshold variables */ +/* 0. MPS > 3 + * 1. MPS > 5 + * 2. MPS > 10 + * 3. MPS > 15 + * 4. MPS > 30 + * 5. MPSR > 120 1/s + * 6. MPSxSR > 28 1/s + */ +const int threshQuantities = 7; +int *thresholdElements[threshQuantities]; +const std::string thresholdTag[threshQuantities] = { + "CSDM-3", "CSDM-5", "CSDM-10", "CSDM-15", "CSDM-30", "MPSR-120", "MPSxSR-28"}; + +/* Variables for maximum Principal Strain times Strain Rate */ +double *PS_Old = NULL; +double *PSxSRArray = NULL; +/* Store MPS, volume of each element */ +double *elementMPS = NULL; +double *initialVolume = NULL; + +int nElementsInjury = 0, *elementIDInjury = NULL; +// part ID to exclude from injury computation +// 0 : Skull, 1 : CSF +const int injuryExcludePIDCount = 2; +const int injuryExcludePID[injuryExcludePIDCount] = {0, 1}; + +// Variables to write injury criterion to Paraview output +const int outputCount = 8; +int *outputDataArray[outputCount]; +const char *outputNames[outputCount] = {"CSDM-3", "CSDM-5", "CSDM-10", "CSDM-15", + "CSDM-30", "MPSR-120", "MPSxSR-28", + "MPS-95"}; +const int outputDoubleCount = 1; +double *outputDoubleArray[outputDoubleCount]; +const char *outputDoubleNames[outputDoubleCount] = {"MPS-95-Value"}; + +const int csdmCount = 5; +const double csdmLimits[csdmCount] = {0.03, 0.05, 0.1, 0.15, 0.3}; + +/* Variables used to store pressure BC values */ +int timeTraceBCSize; +double *timeTraceBC, *pressureTraceBC; +std::string outputFileName; + +int main(int argc, char **argv) { + // Initialize FemTech including logfile and MPI + Json::Value inputJson = InitFemTech(argc, argv); + Json::Value simulationJson = inputJson["simulation"]; + + std::string meshFile = simulationJson["mesh"].asString(); + // Convert maximum time to seconds + tMax = simulationJson["maximum-time"].asDouble() / 1000.0; + if (!simulationJson["write-vtu"].empty()) { + writeField = simulationJson["write-vtu"].asBool(); + } + if (!simulationJson["compute-injury-criteria"].empty()) { + computeInjuryFlag = simulationJson["compute-injury-criteria"].asBool(); + } + FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); + // Read Input Mesh file and equally partition elements among processes + ReadInputFile(meshFile.c_str()); + size_t lastindex = meshFile.find_last_of("."); + outputFileName = meshFile.substr(0, lastindex) + "_" + uid; + // Read material properties before mesh partition to estimate + // material type kernel compute intensity + ReadMaterials(); + + PartitionMesh(); + + AllocateArrays(); + InitCustomPlot(simulationJson); + if (computeInjuryFlag) { + InitInjuryCriteria(); + } + + // Initial settings for BC evaluations + // Used if initial velocity and acceleration BC is to be set. + Time = InitBoundaryCondition(simulationJson); + + /* Write inital, undeformed configuration*/ + int plot_counter = 0; + if (writeField) { + if (computeInjuryFlag) { + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputDoubleCount, outputDoubleNames); + } else { + WriteVTU(outputFileName.c_str(), plot_counter); + } + WritePVD(outputFileName.c_str(), plot_counter); + } + stepTime[plot_counter] = Time; + + int time_step_counter = 0; + /** Central Difference Method - Beta and Gamma */ + // double beta = 0; + // double gamma = 0.5; + + ShapeFunctions(); + /* Step-1: Calculate the mass matrix similar to that of belytschko. */ + AssembleLumpedMass(); + // Needs to be after shapefunctions + CustomPlot(); + + /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ + dt = ExplicitTimeStepReduction * StableTimeStep(); + /* Step-2: getforce step from Belytschko */ + // In GetForce for viscoelastic material dt is required, hence we compute dt + // prior to getforce to avoid special treatment of getforce at Time = 0 + // GetForce(); // Calculating the force term. + + /* Step-3: Calculate accelerations */ + // CalculateAccelerations(); + for (int i = 0; i < nDOF; i++) { + accelerations[i] = 0.0; + } + + nSteps = (int)((tMax - Time) / dt); + int nsteps_plot = (int)(nSteps / nPlotSteps); + if (nsteps_plot == 0) { + nsteps_plot = nSteps; + } + int nsteps_write = (int)(nSteps / nWriteSteps); + if (nsteps_write == 0) { + nsteps_write = nSteps; + } + + double t_n = 0.0; + + FILE_LOG_MASTER(INFO, "---------------------------------"); + FILE_LOG_MASTER(INFO, "Tmax : %15.6e, Initial dt : %15.6e", tMax, dt); + FILE_LOG_MASTER(INFO, "nSteps = %d, nsteps_plot = %d", nSteps, nsteps_plot); + FILE_LOG_MASTER(INFO, "-------------- Loop -------------"); + + time_step_counter = time_step_counter + 1; + + + /* Step-4: Time loop starts....*/ + while (Time < tMax) { + t_n = Time; + double t_np1 = Time + dt; + double dtby2 = 0.5*dt; + double t_nphalf = t_n + dtby2; // equ 6.2.1 + + /* Step 6 Enforce boundary Conditions */ + ApplyPressureBoundaryConditions(); + Time = t_np1; /*Update the time by adding full time step */ + /* Step 5 from Belytschko Box 6.1 - Update velocity */ + for (int i = 0; i < nDOF; i++) { + if (!boundary[i]) { + velocities_half[i] = velocities[i] + dtby2 * accelerations[i]; + } + } + + // Store old displacements and accelerations for energy computation + memcpy(displacements_prev, displacements, nDOF * sizeof(double)); + memcpy(accelerations_prev, accelerations, nDOF * sizeof(double)); + // Store internal external force from previous step to compute energy + memcpy(fi_prev, fi, nDOF * sizeof(double)); + memcpy(fe_prev, fe, nDOF * sizeof(double)); + + // update displacements for all nodes, including where velocity bc is set + for (int i = 0; i < nDOF; i++) { + displacements[i] = displacements[i] + dt * velocities_half[i]; + } + + /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ + GetForce(); // Calculating the force term. + /* Step - 9 from Belytschko Box 6.1 - Calculate Accelerations */ + CalculateAccelerations(); // Calculating the new accelerations from total + // nodal forces. + + /** Step- 10 - Second Partial Update of Nodal Velocities */ + for (int i = 0; i < nDOF; i++) { + velocities[i] = velocities_half[i] + dtby2 * accelerations[i]; + } + + /** Step - 11 Checking* Energy Balance */ + int writeFlag = time_step_counter % nsteps_plot; + int writeFileFlag = time_step_counter % nsteps_write; + CheckEnergy(Time, writeFlag); + + if (computeInjuryFlag) { + CalculateInjuryCriteria(); + } + if (writeFileFlag == 0) { + CustomPlot(); + } + if (writeFlag == 0) { + FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, + tMax); + plot_counter = plot_counter + 1; + + if (plot_counter < MAXPLOTSTEPS) { + stepTime[plot_counter] = Time; + if (writeField) { + FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); + if (computeInjuryFlag) { + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputDoubleCount, outputDoubleNames); + } else { + WriteVTU(outputFileName.c_str(), plot_counter); + } + WritePVD(outputFileName.c_str(), plot_counter); + } + } + } + time_step_counter = time_step_counter + 1; + dt = ExplicitTimeStepReduction * StableTimeStep(); + + // Barrier not a must + MPI_Barrier(MPI_COMM_WORLD); + } // end explcit while loop + // Write output if last step results not written + int writeFileFlag = (time_step_counter - 1) % nsteps_write; + if (writeFileFlag != 0) { + CustomPlot(); + } + FILE_LOG_MASTER(INFO, "End of Iterative Loop"); + + WriteOutputFile(); + if (computeInjuryFlag) { + WriteMPS(); + } + + // Free local boundary condition related arrays + free1DArray(staticBoundaryID); + free1DArray(timeTraceBC); + free1DArray(pressureTraceBC); + free1DArray(outputNodeList); + free1DArray(outputElemList); + // Free variables used for injury criteria + free1DArray(PS_Old); + free1DArray(elementIDInjury); + free1DArray(PSxSRArray); + for (int i = 0; i < threshQuantities; ++i) { + free1DArray(thresholdElements[i]); + } + for (int i = 0; i < percentileQuantities; ++i) { + free1DArray(percentileElements[i]); + } + free1DArray(elementMPS); + free1DArray(initialVolume); + free1DArray(pressureNodalArea); + + if (rankForCustomPlot) { + MPI_File_close(&outputFilePtr); + } + FinalizeFemTech(); + return 0; +} + +void ApplyPressureBoundaryConditions() { + // Restrict stationary nodes + for (int i = 0; i < staticBoundarySize; i++) { + int index = staticBoundaryID[i] * ndim; + for (int j = 0; j < ndim; ++j) { + velocities_half[index + j] = 0.0; + } + } + // Normal assumed to be in +z direction + // Apply pressure BC using f external + double tLocal = Time + dt; + double localPressure = interpolateLinear(timeTraceBCSize, timeTraceBC, \ + pressureTraceBC, tLocal); + for (int i = 0; i < pressureBoundarySize; i++) { + int index = pressureBoundaryID[i] * ndim; + fe[index + 2] = localPressure * pressureNodalArea[i]; + } + return; +} + +void InitCustomPlot(const Json::Value &jsonInput) { + rankForCustomPlot = false; + if (!jsonInput["output-nodes"].empty()) { + int outputSize = jsonInput["output-nodes"].size(); + int *outputNodes = (int *)malloc(outputSize * sizeof(int)); + int *outputLocalNodes = (int *)malloc(outputSize * sizeof(int)); + int *containsNode = (int *)calloc(outputSize, sizeof(int)); + int *containsNodeCum = (int *)calloc(outputSize, sizeof(int)); + // Store input node list to array + jsonToArrayInt(outputNodes, jsonInput["output-nodes"]); + + // Check if node is present in the current process + for (int i = 0; i < outputSize; ++i) { + int nodeItem = outputNodes[i]; + for (int j = 0; j < nNodes; ++j) { + if (globalNodeID[j] == nodeItem) { + containsNode[i] = 1; + outputLocalNodes[i] = j; + break; + } + } + } + // If multiple procs have same node use the lowest rank + MPI_Scan(containsNode, containsNodeCum, outputSize, MPI_INT, MPI_SUM, + MPI_COMM_WORLD); + for (int i = 0; i < outputSize; ++i) { + if (containsNode[i] == 1 && containsNodeCum[i] == 1) { + outputNodeCount = outputNodeCount + 1; + } + } + outputNodeList = (int *)malloc(outputNodeCount * sizeof(int)); + int currentIndex = 0; + for (int i = 0; i < outputSize; ++i) { + if (containsNode[i] == 1 && containsNodeCum[i] == 1) { + outputNodeList[currentIndex] = outputLocalNodes[i]; + currentIndex = currentIndex + 1; + } + } + assert(currentIndex == outputNodeCount); + if (outputNodeCount > 0) { + rankForCustomPlot = true; + } + free(outputNodes); + free(outputLocalNodes); + free(containsNode); + free(containsNodeCum); + for (int i = 0; i < outputNodeCount; ++i) { + int nodeL = outputNodeList[i]; + FILE_LOG_SINGLE(INFO, "Node ID : %d (%15.9e, %15.9e, %15.9e)", + globalNodeID[nodeL], coordinates[nodeL * ndim], + coordinates[nodeL * ndim + 1], + coordinates[nodeL * ndim + 2]); + } + } + if (!jsonInput["output-elements"].empty()) { + int outputSize = jsonInput["output-elements"].size(); + int *outputElements = (int *)malloc(outputSize * sizeof(int)); + int *outputLocalElements = (int *)malloc(outputSize * sizeof(int)); + int *containsElement = (int *)calloc(outputSize, sizeof(int)); + // Store input node list to array + jsonToArrayInt(outputElements, jsonInput["output-elements"]); + + // Check if element is present in the current process + // TODO : Used the fact that global element ID is sorted and use binary + // search + for (int i = 0; i < outputSize; ++i) { + int elemItem = outputElements[i]; + for (int j = 0; j < nelements; ++j) { + if (global_eid[j] == elemItem) { + containsElement[i] = 1; + outputLocalElements[i] = j; + outputElemCount = outputElemCount + 1; + break; + } + } + } + if (outputElemCount > 0) { + rankForCustomPlot = true; + outputElemList = (int *)malloc(sizeof(int) * outputElemCount); + int currentIndex = 0; + for (int i = 0; i < outputSize; ++i) { + if (containsElement[i]) { + outputElemList[currentIndex] = outputLocalElements[i]; + currentIndex = currentIndex + 1; + } + } + assert(currentIndex == outputElemCount); + } + free(outputElements); + free(outputLocalElements); + free(containsElement); + } + // Create communicator with process with output nodes + if (rankForCustomPlot) { + int color = 1; + MPI_Comm_split(MPI_COMM_WORLD, color, world_rank, &output_comm); + } else { + MPI_Comm_split(MPI_COMM_WORLD, MPI_UNDEFINED, world_rank, &output_comm); + } + if (rankForCustomPlot) { + // Get the number of processes in output communicator + MPI_Comm_size(output_comm, &output_size); + // Get the rank of the process in output communicator + MPI_Comm_rank(output_comm, &output_rank); + // Open output file and write header + std::string outFileStr = "plot_" + uid + ".dat"; + MPI_Info infoin; + MPI_Info_create(&infoin); + MPI_Info_set(infoin, "access_style", "write_once,random"); + const char *outFileName = outFileStr.c_str(); + + int err; + err = MPI_File_open(output_comm, outFileName, + MPI_MODE_EXCL | MPI_MODE_WRONLY | MPI_MODE_CREATE, + infoin, &outputFilePtr); + if (err != MPI_SUCCESS) { + if (output_rank == 0) { + MPI_File_delete(outFileName, MPI_INFO_NULL); + } + MPI_Barrier(output_comm); + err = MPI_File_open(output_comm, outFileName, + MPI_MODE_EXCL | MPI_MODE_WRONLY | MPI_MODE_CREATE, + infoin, &outputFilePtr); + if (err != MPI_SUCCESS) { + FILE_LOG_SINGLE(ERROR, "Unable to open file to write co-ordinates"); + TerminateFemTech(10); + } + } + // Write the header + char *outputHeader = (char *)malloc( + sizeof(char) * (10 + outputNodeCount * 60 + outputElemCount * 40)); + outputHeader[0] = 0; + if (output_rank == 0) { + sprintf(outputHeader, "#Time"); + } + for (int i = 0; i < outputNodeCount; ++i) { + int globalN = globalNodeID[outputNodeList[i]]; + sprintf(outputHeader, "%s Node%08d-DispX Node%08d-DispY Node%08d-DispZ", + outputHeader, globalN, globalN, globalN); + } + for (int i = 0; i < outputElemCount; ++i) { + int globalE = global_eid[outputElemList[i]]; + sprintf(outputHeader, "%s Elem%08d-StreP Elem%08d-StreS", outputHeader, + globalE, globalE); + } + if (output_rank == (output_size - 1)) { + sprintf(outputHeader, "%s\n", outputHeader); + } + MPI_File_write_ordered(outputFilePtr, outputHeader, strlen(outputHeader), + MPI_CHAR, MPI_STATUS_IGNORE); + free(outputHeader); + } + return; +} + +void CustomPlot() { + if (rankForCustomPlot) { + // Write the output + char *output = (char *)malloc( + sizeof(char) * (17 + outputNodeCount * 51 + outputElemCount * 34)); + output[0] = 0; + if (output_rank == 0) { + sprintf(output, "%15.9e", Time); + } + for (int i = 0; i < outputNodeCount; ++i) { + unsigned int plotNode = outputNodeList[i] * ndim; + unsigned int plotIndex = i * ndim; + double xCordLocal, yCordLocal, zCordLocal; + xCordLocal = displacements[plotNode]; + yCordLocal = displacements[plotNode + 1]; + zCordLocal = displacements[plotNode + 2]; + sprintf(output, "%s %15.9e %15.9e %15.9e", output, xCordLocal, yCordLocal, zCordLocal); + } + double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; + for (int i = 0; i < outputElemCount; ++i) { + unsigned int plotElem = outputElemList[i]; + // Recalculation to decouple from Injury criteria + CalculateMaximumPrincipalStrain(plotElem, ¤tStrainMaxElem, + ¤tStrainMinElem, + ¤tShearMaxElem); + sprintf(output, "%s %15.9e %15.9e", output, currentStrainMaxElem, + currentShearMaxElem); + } + if (output_rank == (output_size - 1)) { + sprintf(output, "%s\n", output); + } + MPI_File_write_ordered(outputFilePtr, output, strlen(output), MPI_CHAR, + MPI_STATUS_IGNORE); + free(output); + } + return; +} + +double InitBoundaryCondition(const Json::Value &jsonInput) { + double startTime = 0.0; + // Read input JSON for pressure data + if (!jsonInput["pressure"].empty()) { + const Json::Value jsonPressure = jsonInput["pressure"]; + if (!jsonPressure["time"].empty()) { + timeTraceBCSize = jsonPressure["time"].size(); + } else{ + FILE_LOG_SINGLE(ERROR, "Pressure-time array absent"); + TerminateFemTech(12); + } + if (!jsonPressure["head"].empty()) { + unsigned int pressureTrace1Size = 0; + pressureTrace1Size = jsonPressure["head"].size(); + assert(pressureTrace1Size == timeTraceBCSize); + } else{ + FILE_LOG_SINGLE(ERROR, "Head pressure trace absent"); + TerminateFemTech(12); + } + if (!jsonPressure["shoulder"].empty()) { + unsigned int pressureTrace2Size = 0; + pressureTrace2Size = jsonPressure["shoulder"].size(); + assert(pressureTrace2Size == timeTraceBCSize); + } else{ + FILE_LOG_SINGLE(ERROR, "Shoulder pressure trace absent"); + TerminateFemTech(12); + } + if (!jsonPressure["chest"].empty()) { + unsigned int pressureTrace3Size = 0; + pressureTrace3Size = jsonPressure["chest"].size(); + assert(pressureTrace3Size == timeTraceBCSize); + } else{ + FILE_LOG_SINGLE(ERROR, "Chest pressure trace absent"); + TerminateFemTech(12); + } + double *pressureTrace1 = (double*)malloc(sizeof(double) * timeTraceBCSize); + double *pressureTrace2 = (double*)malloc(sizeof(double) * timeTraceBCSize); + double *pressureTrace3 = (double*)malloc(sizeof(double) * timeTraceBCSize); + timeTraceBC = (double*)malloc(sizeof(double) * timeTraceBCSize); + pressureTraceBC = (double*)malloc(sizeof(double) * timeTraceBCSize); + + jsonToArray(timeTraceBC, jsonPressure["time"]); + jsonToArray(pressureTrace1, jsonPressure["head"]); + jsonToArray(pressureTrace2, jsonPressure["shoulder"]); + jsonToArray(pressureTrace3, jsonPressure["chest"]); + + // Average over the three pressure sensor values to arrive at pressure to be + // applied on the fore-head + for (unsigned int i = 0; i < timeTraceBCSize; ++i) { + pressureTraceBC[i] = (pressureTrace1[i] + pressureTrace2[i] + pressureTrace3[i])/3.0; + } + + free(pressureTrace1); + free(pressureTrace2); + free(pressureTrace3); + + // Convert time from milli-seconds to seconds + for (int i = 0; i < timeTraceBCSize; ++i) { + timeTraceBC[i] = 0.001 * timeTraceBC[i]; + } + startTime = timeTraceBC[0]; + } else { + FILE_LOG_MASTER(ERROR, "Pressure BC time traces absent in the input file"); + TerminateFemTech(12); + } + + // Find count of nodes with specified partID on the current process + staticBoundarySize = 0; + // One time operation, can be optimized if both arrays are sorted + for (unsigned int i = 0; i < fixedBCNodeCount; ++i) { + const unsigned int nodeItem = fixedBCNode[i]; + for (int j = 0; j < nNodes; ++j) { + if (globalNodeID[j] == nodeItem) { + ++staticBoundarySize; + } + } + } + // Allocate memory to store node IDs of staionary rigid nodes. + // Loop over this array in apply pressure BC function + staticBoundaryID = (int *)malloc(staticBoundarySize * sizeof(int)); + if (staticBoundaryID == NULL) { + FILE_LOG_SINGLE(ERROR, "Unable to alocate staticBoundaryID"); + TerminateFemTech(12); + } + // rigidnodecount will be <= fixedBCNodeCount due to the parallel mesh + // partitioning + // Store all nodes to be made rigid + // set boundary array value to 1, so that displacements are not updated for + // displacement prescribed nodes + int nodePtr = 0; + for (unsigned int i = 0; i < fixedBCNodeCount; ++i) { + const unsigned int nodeItem = fixedBCNode[i]; + for (int j = 0; j < nNodes; ++j) { + if (globalNodeID[j] == nodeItem) { + staticBoundaryID[nodePtr] = j; // Store all rigid nodes + nodePtr = nodePtr + 1; + int index = j * ndim; + boundary[index] = 1; + boundary[index + 1] = 1; + boundary[index + 2] = 1; + } + } + } + assert(nodePtr == staticBoundarySize); + + FILE_LOG(INFO, "%d nodes given rigid motion", staticBoundarySize); + + // Set pressure BC nodes + // Find count of nodes with specified pressure on the current process + pressureBoundarySize = 0; + // One time operation, can be optimized if both arrays are sorted + for (unsigned int i = 0; i < pressureBCNodeCount; ++i) { + const unsigned int nodeItem = pressureBCNode[i]; + for (int j = 0; j < nNodes; ++j) { + if (globalNodeID[j] == nodeItem) { + ++pressureBoundarySize; + } + } + } + // Allocate memory to store node IDs of nodes with prescibed pressure. + // Loop over this array in apply pressure BC function + pressureBoundaryID = (int *)malloc(pressureBoundarySize * sizeof(int)); + if (pressureBoundaryID == NULL) { + FILE_LOG_SINGLE(ERROR, "Unable to alocate pressureBoundaryID"); + TerminateFemTech(12); + } + // pressure boundary size will be <= pressureBCNodeCount due to the parallel mesh + // partitioning + // Store all nodes to prescribe pressure BC + nodePtr = 0; + for (unsigned int i = 0; i < pressureBCNodeCount; ++i) { + const unsigned int nodeItem = pressureBCNode[i]; + for (int j = 0; j < nNodes; ++j) { + if (globalNodeID[j] == nodeItem) { + pressureBoundaryID[nodePtr] = j; // Store all rigid nodes + nodePtr = nodePtr + 1; + } + } + } + assert(nodePtr == pressureBoundarySize); + + FILE_LOG(INFO, "%d nodes given pressure BC", pressureBoundarySize); + // Split the MPI communicator into those containing pressure boundary nodes + // int splitColor = (int)(pressureBoundarySize > 0); + // MPI_Comm pressureBC_Comm; + // MPI_Comm_split(MPI_COMM_WORLD, splitColor, world_rank, &pressureBC_Comm); + // // Work on procs with pressure BC nodes only + // if (splitColor) { + // } + + int pressureNodeToSend = pressureBoundarySize; + int *pressureBCSize = NULL, *cumPressureBCSize = NULL, *pressureGlobalID = NULL; + int *pressureBCCoordSize = NULL, *cumPressureBCCoordSize = NULL; + double *pressureNodeCoord = NULL, *areaOnMaster = NULL; + if (world_rank == 0) { + pressureBCSize = (int*)malloc(sizeof(int)*world_size); + cumPressureBCSize = (int*)malloc(sizeof(int)*(world_size+1)); + pressureBCCoordSize = (int*)malloc(sizeof(int)*world_size); + cumPressureBCCoordSize = (int*)malloc(sizeof(int)*(world_size+1)); + } + // Get size of pressure BC points on each process on master + MPI_Gather(&pressureBoundarySize, 1, MPI_INT, pressureBCSize, 1, MPI_INT, 0, MPI_COMM_WORLD); + // Create a MPI Communicator with only processes with pressure boundary nodes + + int totalPressureBCPoints = 0; + if (world_rank == 0) { + // Compute the cumulative number of points to act as pointers to the array + cumPressureBCSize[0] = 0; + cumPressureBCCoordSize[0] = 0; + for (unsigned int i = 0; i < world_size; ++i) { + cumPressureBCSize[i+1] = cumPressureBCSize[i] + pressureBCSize[i]; + cumPressureBCCoordSize[i+1] = ndim * cumPressureBCSize[i+1]; + pressureBCCoordSize[i] = ndim * pressureBCSize[i]; + } + // Use the last element of cumulative array to find total count of nodes. + // This can be greater than number of nodes on which pressure is applied as + // duplicate nodes can be present. + totalPressureBCPoints = cumPressureBCSize[world_size]; + pressureGlobalID = (int*)malloc(sizeof(int)*totalPressureBCPoints); + pressureNodeCoord = (double*)malloc(sizeof(double)*totalPressureBCPoints*ndim); + areaOnMaster = (double*)malloc(sizeof(double)*totalPressureBCPoints); + } + int *globalIDtoMaster; + double *coordToMaster; + globalIDtoMaster = (int*)malloc(sizeof(int)*pressureBoundarySize); + coordToMaster = (double*)malloc(sizeof(double)*pressureBoundarySize*ndim); + // Copy global element ID as well as it co-ordinates to arrays to send to + // master node to compute area + for (unsigned int i = 0; i < pressureBoundarySize; ++i) { + const unsigned int nodeID = pressureBoundaryID[i]; + globalIDtoMaster[i] = globalNodeID[nodeID]; + const unsigned int index0 = nodeID * ndim; + const unsigned int index1 = i * ndim; + for (unsigned int j = 0; j < ndim; ++j) { + coordToMaster[index1 + j] = coordinates[index0 + j]; + } + } + // FILE_LOGArrayIntSingle(WARNING, globalIDtoMaster, pressureBoundarySize, "ID to master : "); + // Get global nodeIDs to master from all processes + MPI_Gatherv(globalIDtoMaster, pressureBoundarySize, MPI_INT, \ + pressureGlobalID, pressureBCSize, cumPressureBCSize, MPI_INT, \ + 0, MPI_COMM_WORLD); + // FILE_LOGArrayIntMaster(WARNING, pressureGlobalID, totalPressureBCPoints, "Array on master : "); + // Get global corresponding co-ordinates to master from all processes + MPI_Gatherv(coordToMaster, ndim*pressureBoundarySize, MPI_DOUBLE, \ + pressureNodeCoord, pressureBCCoordSize, cumPressureBCCoordSize, \ + MPI_DOUBLE, 0, MPI_COMM_WORLD); + if (world_rank == 0) { + const double piBy4 = atan(1.0); + // Find the nearest point to a given point in the list using a O(N^2) + // brute force algorithm. We are dealing with small arrays here and its + // a one time operation. + for (unsigned int i = 0; i < totalPressureBCPoints; ++i) { + double minDist = 1e12; + const unsigned int index0 = i * ndim; + for (unsigned int j = 0; j < totalPressureBCPoints; ++j) { + if (i == j) { + continue; + } + if (pressureGlobalID[i] == pressureGlobalID[j]) { + continue; + } + double distance = 0.0; + const unsigned int index1 = j * ndim; + for (unsigned int k = 0; k < ndim; ++k) { + distance += pow(pressureNodeCoord[index0 + k] - \ + pressureNodeCoord[index1 + k], 2); + } + if (distance < minDist) { + minDist = distance; + } + } + areaOnMaster[i] = piBy4*minDist; + } + } + // FILE_LOGArrayMaster(WARNING, areaOnMaster, totalPressureBCPoints, "Area on master : "); + pressureNodalArea = (double*)malloc(sizeof(double)*pressureBoundarySize); + // Scatter all nodal areas to respective processes + MPI_Scatterv(areaOnMaster, pressureBCSize, cumPressureBCSize, MPI_DOUBLE, \ + pressureNodalArea, pressureBoundarySize, MPI_DOUBLE, 0, MPI_COMM_WORLD); + + free1DArray(globalIDtoMaster); + free1DArray(coordToMaster); + if (world_rank == 0) { + free1DArray(pressureBCSize); + free1DArray(cumPressureBCSize); + free1DArray(pressureGlobalID); + free1DArray(pressureNodeCoord); + free1DArray(pressureBCCoordSize); + free1DArray(cumPressureBCCoordSize); + free1DArray(areaOnMaster); + } + return startTime; +} + +void WriteOutputFile() { + Json::Value output; + Json::Value vec(Json::arrayValue); + + // Write basic info that does not require any computation + if (world_rank == 0) { + output["output-file"] = outputFileName + ".pvd"; + + // vec.resize(ndim); + // // Write center of mass co-ordinates in JSON + // for (int i = 0; i < ndim; ++i) { + // vec[i] = cm[i]; + // } + // output["center-of-mass"] = vec; + output["code-branch"] = GIT_BRANCH; + output["code-version"] = GIT_COMMIT_HASH; + } + if (computeInjuryFlag) { + // Compute and write principal values + double maxLocationAndTime[4]; + int globalElementID; + struct { + double value; + int rank; + } parStructMax; + + /* Calculate principal min and max strain location and send to master */ + // Find the gloabl max principal strain + for (int i = 0; i < maxQuantities; ++i) { + parStructMax.value = maxValue[i]; + parStructMax.rank = world_rank; + MPI_Allreduce(MPI_IN_PLACE, &parStructMax, 1, MPI_DOUBLE_INT, + outputOperator[i], MPI_COMM_WORLD); + if (parStructMax.rank == world_rank) { + for (int j = 0; j < 4; ++j) { + maxLocationAndTime[j] = 0.0; + } + int elementID = maxElem[i]; + // Compute element coordinates + int nP = eptr[elementID + 1] - eptr[elementID]; + for (int j = eptr[elementID]; j < eptr[elementID + 1]; ++j) { + maxLocationAndTime[0] += coordinates[connectivity[j] * ndim]; + maxLocationAndTime[1] += coordinates[connectivity[j] * ndim + 1]; + maxLocationAndTime[2] += coordinates[connectivity[j] * ndim + 2]; + } + for (int j = 0; j < ndim; ++j) { + maxLocationAndTime[j] = maxLocationAndTime[j] / ((double)nP); + } + maxLocationAndTime[3] = maxTime[i]; + globalElementID = global_eid[elementID]; + if (world_rank != 0) { + MPI_Send(maxLocationAndTime, 4, MPI_DOUBLE, 0, 7297 + i, + MPI_COMM_WORLD); + MPI_Send(&globalElementID, 1, MPI_INT, 0, 7297 + i, MPI_COMM_WORLD); + } + } + if (world_rank == 0) { + if (parStructMax.rank != 0) { + MPI_Recv(maxLocationAndTime, 4, MPI_DOUBLE, parStructMax.rank, 7297 + i, + MPI_COMM_WORLD, MPI_STATUS_IGNORE); + MPI_Recv(&globalElementID, 1, MPI_INT, parStructMax.rank, 7297 + i, + MPI_COMM_WORLD, MPI_STATUS_IGNORE); + } + for (int j = 0; j < ndim; ++j) { + vec[j] = maxLocationAndTime[j]; + } + output[maxOutput[i]]["value"] = parStructMax.value; + output[maxOutput[i]]["location"] = vec; + output[maxOutput[i]]["time"] = maxLocationAndTime[3]; + output[maxOutput[i]]["global-element-id"] = globalElementID; + } + } + + // Compute the volume of all parts + double volumePart[nPIDglobal]; + double elementVolume[nelements]; // For MPS computation + for (int i = 0; i < nPIDglobal; ++i) { + volumePart[i] = 0.0; + } + computePartVolume(volumePart, elementVolume); + // Compute Volume of threshold quantities + double thresholdVolume[threshQuantities]; + for (int i = 0; i < threshQuantities; ++i) { + thresholdVolume[i] = 0.0; + } + for (int i = 0; i < nElementsInjury; ++i) { + int e = elementIDInjury[i]; + double eV = elementVolume[e]; + // CSDM 3, 5, 10, 15, 30 volume computations + for (unsigned int j = 0; j < csdmCount; ++j) { + if (thresholdElements[j][i]) { + thresholdVolume[j] += eV; + } else { + break; + } + } + // MPSR > 120 volume + if (thresholdElements[csdmCount][i]) { + thresholdVolume[csdmCount] += eV; + } + // MPSxSR > 28 volume + if (thresholdElements[csdmCount + 1][i]) { + thresholdVolume[csdmCount + 1] += eV; + } + } + // Calculate cumulative volume on all ranks + MPI_Allreduce(MPI_IN_PLACE, thresholdVolume, 6, MPI_DOUBLE, MPI_SUM, + MPI_COMM_WORLD); + double totalVolume = 0.0; + if (world_rank == 0) { + // Excluded PID hardcoded for CSDM computation + for (int i = 0; i < nPIDglobal; ++i) { + bool include = true; + for (int j = 0; j < injuryExcludePIDCount; ++j) { + if (injuryExcludePID[j] == i) { + include = false; + break; + } + } + if (include) { + totalVolume += volumePart[i]; + } + } + // Write brain volume in output.json + output["brain-volume"] = totalVolume; + + // Write threshold values + for (int i = 0; i < threshQuantities; ++i) { + output[thresholdTag[i]]["value"] = thresholdVolume[i] / totalVolume; + } + // Write percentile values + for (int i = 0; i < percentileQuantities; ++i) { + output[percentileTag[i]]["value"] = percentileValue[i]; + output[percentileTag[i]]["time"] = percentileTime[i]; + } + } + // Create list to write to output.json + const int outputJsonCount = csdmCount + 1; + std::string jsonOutputTag[outputJsonCount]; + int *outputJsonArray[outputJsonCount]; + for (int i = 0; i < csdmCount; ++i) { + jsonOutputTag[i] = thresholdTag[i]; + outputJsonArray[i] = thresholdElements[i]; + } + // Write MPS-95 elements + jsonOutputTag[csdmCount] = percentileTag[0]; + outputJsonArray[csdmCount] = percentileElements[0]; + + int *countPerProc, *cumCountPerProc, *fullElemList; + if (world_rank == 0) { + countPerProc = (int *)malloc(world_size * sizeof(int)); + cumCountPerProc = (int *)malloc(world_size * sizeof(int)); + } + for (int i = 0; i < outputJsonCount; ++i) { + int *list = outputJsonArray[i]; + int count = 0; + for (int j = 0; j < nElementsInjury; ++j) { + if (list[j]) { + count = count + 1; + } + } + int numElem = count; + int *localElemList = (int *)malloc(numElem * sizeof(int)); + count = 0; + if (numElem) { + for (int j = 0; j < nElementsInjury; ++j) { + if (list[j]) { + int e = elementIDInjury[j]; + localElemList[count] = global_eid[e]; + count = count + 1; + } + } + } + // Get total count + int totalElems = 0; + MPI_Allreduce(&numElem, &totalElems, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD); + // Get recv count + MPI_Gather(&numElem, 1, MPI_INT, countPerProc, 1, MPI_INT, 0, + MPI_COMM_WORLD); + + if (world_rank == 0) { + fullElemList = (int *)malloc(totalElems * sizeof(int)); + cumCountPerProc[0] = 0; + for (int j = 1; j < world_size; ++j) { + cumCountPerProc[j] = countPerProc[j - 1] + cumCountPerProc[j - 1]; + } + } + // Get full array + if (totalElems) { + MPI_Gatherv(localElemList, numElem, MPI_INT, fullElemList, countPerProc, + cumCountPerProc, MPI_INT, 0, MPI_COMM_WORLD); + } + if (world_rank == 0) { + Json::Value elementList(Json::arrayValue); + elementList.resize(totalElems); + for (int j = 0; j < totalElems; ++j) { + elementList[j] = fullElemList[j]; + } + free(fullElemList); + // output[jsonOutputTag[i]]["global-element-id"] = elementList; + Json::Value outputThreshold; + outputThreshold["global-element-id"] = elementList; + Json::StreamWriterBuilder builder; + builder["commentStyle"] = "None"; + builder["indentation"] = " "; + std::unique_ptr writer(builder.newStreamWriter()); + std::ofstream oFile(jsonOutputTag[i] + ".json"); + + if (i < csdmCount) { + outputThreshold["value"] = thresholdVolume[i] / totalVolume; + } else { + int ind = i - csdmCount; + outputThreshold["value"] = percentileValue[ind]; + outputThreshold["time"] = percentileTime[ind]; + } + writer->write(outputThreshold, &oFile); + } + free(localElemList); + MPI_Barrier(MPI_COMM_WORLD); + } + if (world_rank == 0) { + free(countPerProc); + free(cumCountPerProc); + } + } + + // Write output to file + if (world_rank == 0) { + Json::StreamWriterBuilder builder; + builder["commentStyle"] = "None"; + builder["indentation"] = " "; + std::unique_ptr writer(builder.newStreamWriter()); + std::ofstream oFile(uid + "_output.json"); + writer->write(output, &oFile); + } + FILE_LOG_MASTER(INFO, "Json output files written"); +} + +void InitInjuryCriteria(void) { + // Set all min and max quantities to zero + for (int i = 0; i < maxQuantities; ++i) { + maxValue[i] = 0.0; + maxTime[i] = 0.0; + maxElem[i] = 0; + } + + for (int i = 0; i < nelements; i++) { + bool include = true; + int elementPID = pid[i]; + for (int j = 0; j < injuryExcludePIDCount; ++j) { + if (elementPID == injuryExcludePID[j]) { + include = false; + break; + } + } + if (include) { + nElementsInjury += 1; + } + } + elementIDInjury = (int *)malloc(nElementsInjury * sizeof(int)); + int count = 0; + for (int i = 0; i < nelements; i++) { + bool include = true; + int elementPID = pid[i]; + for (int j = 0; j < injuryExcludePIDCount; ++j) { + if (elementPID == injuryExcludePID[j]) { + include = false; + break; + } + } + if (include) { + elementIDInjury[count] = i; + count += 1; + } + } + + for (int i = 0; i < threshQuantities; ++i) { + thresholdElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); + } + // Write percentile values + for (int i = 0; i < percentileQuantities; ++i) { + percentileElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); + percentileTime[i] = 0.0; + percentileValue[i] = 0.0; + } + PS_Old = (double *)calloc(nElementsInjury, sizeof(double)); + PSxSRArray = (double *)calloc(nElementsInjury, sizeof(double)); + elementMPS = (double *)calloc(nelements, sizeof(double)); + initialVolume = (double *)calloc(nelements, sizeof(double)); + + // Array to output to Paraview + // All threshold elements CSDM : 3, 5, 10, 15, 30, MPSR-120, MPSxSR-28 + for (int i = 0; i < threshQuantities; ++i) { + outputDataArray[i] = thresholdElements[i]; + } + // for (int i = 0; i < percentileQuantities; ++i) { + // outputDataArray[threshQuantities + i] = + // percentileElements[i]; + // } + outputDataArray[threshQuantities] = + percentileElements[0]; // Write MPS-95 to paraview + // Percentile Values + // Write MPS-95-Value + outputDoubleArray[0] = PS_Old; + + // Compute the initial volume of elements for MPS file + double volumePart[nPIDglobal]; + for (int i = 0; i < nPIDglobal; ++i) { + volumePart[i] = 0.0; + } + computePartVolume(volumePart, initialVolume); +} + +void CalculateInjuryCriteria(void) { + double currentStrainMaxElem, currentStrainMinElem, currentShearMaxElem; + double PSR = 0.0, PSxSR = 0.0; + + for (int j = 0; j < nElementsInjury; j++) { + int i = elementIDInjury[j]; + CalculateMaximumPrincipalStrain( + i, ¤tStrainMaxElem, ¤tStrainMinElem, ¤tShearMaxElem); + if (maxValue[0] < currentStrainMaxElem) { + maxValue[0] = currentStrainMaxElem; + maxElem[0] = i; + maxTime[0] = Time; + } + if (maxValue[3] > currentStrainMinElem) { + maxValue[3] = currentStrainMinElem; + maxElem[3] = i; + maxTime[3] = Time; + } + if (maxValue[1] < currentShearMaxElem) { + maxValue[1] = currentShearMaxElem; + maxElem[1] = i; + maxTime[1] = Time; + } + // Update csdm element list + for (int k = 0; k < csdmCount; ++k) { + if (!thresholdElements[k][j]) { + if (currentStrainMaxElem > csdmLimits[k]) { + thresholdElements[k][j] = 1; + } + } + } + // Compute maxPSxSR + // Compute principal strain rate using first order backaward distance + PSR = (currentStrainMaxElem - PS_Old[j]) / dt; + // TODO(Anil) : Sould absolute value be used for PSR ? + PSxSR = currentStrainMaxElem * PSR; + if (maxValue[2] < PSxSR) { + maxValue[2] = PSxSR; + maxElem[2] = i; + maxTime[2] = Time; + } + // Calculate MPSR 120 + if (!thresholdElements[csdmCount][j]) { + if (PSR > 120.0) { + thresholdElements[csdmCount][j] = 1; + } + } + // Calculate MPSxSR 28 + if (!thresholdElements[csdmCount + 1][j]) { + if (PSxSR > 28.0) { + thresholdElements[csdmCount + 1][j] = 1; + } + } + PS_Old[j] = currentStrainMaxElem; + PSxSRArray[j] = PSxSR; + if (currentStrainMaxElem > elementMPS[i]) { + elementMPS[i] = currentStrainMaxElem; + } + } // For loop over elements included for injury + + // Compute 95 percentile MPS and corresponding element list + double MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); + if (MPS95 > percentileValue[0]) { + memset(percentileElements[0], 0, nElementsInjury * sizeof(int)); + percentileValue[0] = MPS95; + percentileTime[0] = Time; + for (int j = 0; j < nElementsInjury; j++) { + if (PS_Old[j] >= MPS95) { + percentileElements[0][j] = 1; + } + } + } + + // Compute 95 percentile MPSxSR and corresponding element list + double MPSxSR95 = compute95thPercentileValue(PSxSRArray, nElementsInjury); + if (MPSxSR95 > percentileValue[1]) { + memset(percentileElements[1], 0, nElementsInjury * sizeof(int)); + percentileValue[1] = MPSxSR95; + percentileTime[1] = Time; + int count = 0; + for (int j = 0; j < nElementsInjury; j++) { + if (PSxSRArray[j] >= MPSxSR95) { + percentileElements[1][j] = 1; + } + } + } +} + +void WriteMPS(void) { + MPI_File mpsFilePtr; + MPI_Info infoin; + MPI_Info_create(&infoin); + MPI_Info_set(infoin, "access_style", "write_once,random"); + char fileName[] = "MPSfile.dat"; + + int err; + err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); + if (err != MPI_SUCCESS) { + if (world_rank == 0) { + MPI_File_delete(fileName, MPI_INFO_NULL); + } + err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); + if (err != MPI_SUCCESS) { + FILE_LOG_SINGLE(ERROR, "Unable to open MPS file"); + return; + } + } + + const unsigned int lineSize = 50; + char s2[lineSize+1], s3[lineSize+1]; + unsigned int offset = 0; + + for (unsigned int i = 0; i < nelements; ++i) { + offset = (global_eid[i]-1)*lineSize; + sprintf(s2, "%06d, %14.5e, %14.5e\n", global_eid[i], elementMPS[i], initialVolume[i]); + sprintf(s3, "%50s", s2); + MPI_File_write_at(mpsFilePtr, offset, s3, lineSize, MPI_CHAR, MPI_STATUS_IGNORE); + } + + MPI_File_close(&mpsFilePtr); + FILE_LOG_MASTER(INFO, "MPS values written to file"); + return; +} diff --git a/examples/ex21/fine_brain.inp b/examples/ex21/fine_brain.inp new file mode 100644 index 00000000..5b0dd3c1 --- /dev/null +++ b/examples/ex21/fine_brain.inp @@ -0,0 +1,32262 @@ +************************************* +*HEADING +FemTech +************************************* +*NODE, NSET=All +1, 0, -0.418044, -0.055459 +2, 0, -0.418739, -0.051093 +3, 0.004502, -0.418691, 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b/examples/ex21/materials.dat new file mode 100644 index 00000000..1d898b50 --- /dev/null +++ b/examples/ex21/materials.dat @@ -0,0 +1,26 @@ +0 2 2000 2.664e9 2.093e9 +1 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +2 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +3 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +4 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +5 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +6 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +7 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +8 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 +9 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 + + +# form of file +# partID (starting at 0), material ID (goes with consitutive model), ... +# n properties (reads MAXMATPARAMS defined in GlobalVariables.h) + +# mat ID 0 - Specified rigid-body motion : density +# mat ID 1 - CompressibleNeoHookean props: density mu lambda +# mat ID 2 - St. Venant props : density mu lambda +# mat ID 3 - Linear Elasticity : density mu lambda +# mat ID 4 - HGO Isotropic : density mu lambda k1 k2 +# mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 K k1 k2 n g1 t1 g2 +# t2 .... gn tn gi's ti's are pairs of n term Prony series +# mat ID 6 - Viscoelastic : density(Kg/m^3) K(Pa) G_0(Pa) G_\infity(Pa) \beta(1/s) +# mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N +# mat ID 8 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M diff --git a/examples/ex21/pressureInput.json b/examples/ex21/pressureInput.json new file mode 100644 index 00000000..9976947f --- /dev/null +++ b/examples/ex21/pressureInput.json @@ -0,0 +1,8088 @@ +{ + "event_id": "test_ReetPiGvFd", + "player": { + "first-name": "Unknown", + "sport": "unknown", + "position": "unknown", + "name": "Test-Pressure", + "last-name": "Unknown" + }, + "simulation": { + "mesh": "coarse_brain.inp", + "pressure": { + "time": [ + -3.2, + -3.1900000000000004, + -3.18, + -3.1700000000000004, + -3.16, + -3.1500000000000004, + -3.14, + -3.1300000000000003, + -3.12, + -3.1100000000000003, + -3.1, + -3.0900000000000003, + -3.08, + -3.0700000000000003, + -3.06, + -3.0500000000000003, + -3.04, + -3.0300000000000002, + -3.02, + -3.0100000000000002, + -3, + 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a/examples/ex21/template.vcxproj.user.in b/examples/ex21/template.vcxproj.user.in new file mode 100644 index 00000000..4ee72aa2 --- /dev/null +++ b/examples/ex21/template.vcxproj.user.in @@ -0,0 +1,8 @@ + + + + @DEBUG_COMMAND@ + WindowsLocalDebugger + @DEBUG_COMMAND_ARGUMENTS@ + + \ No newline at end of file diff --git a/examples/ex5/addGraph.py b/examples/ex5/addGraph.py index 464b6eb1..d9011439 100644 --- a/examples/ex5/addGraph.py +++ b/examples/ex5/addGraph.py @@ -40,97 +40,102 @@ tArray[tA*nRes:(tA+1)*nRes] = localT[:-1] tArray[-1] = tArrayRaw[-1] -timeArray = False - -if 'time-all' in simulationJson: - timeFull = simulationJson['time-all'] - timeArray = True - -if type(simulationJson["linear-acceleration"]) == dict: - if timeArray: - linXt = timeFull - linYt = timeFull - linZt = timeFull - angXt = timeFull - angYt = timeFull - angZt = timeFull - else: - linXt = simulationJson["linear-acceleration"]["xt"] - linYt = simulationJson["linear-acceleration"]["yt"] - linZt = simulationJson["linear-acceleration"]["zt"] - angXt = simulationJson["angular-acceleration"]["xt"] - angYt = simulationJson["angular-acceleration"]["yt"] - angZt = simulationJson["angular-acceleration"]["zt"] - - linXv = simulationJson["linear-acceleration"]["xv"] - linYv = simulationJson["linear-acceleration"]["yv"] - linZv = simulationJson["linear-acceleration"]["zv"] - angXv = simulationJson["angular-acceleration"]["xv"] - angYv = simulationJson["angular-acceleration"]["yv"] - angZv = simulationJson["angular-acceleration"]["zv"] - - linArrayX = np.interp(tArray, linXt, linXv) - linArrayY = np.interp(tArray, linYt, linYv) - linArrayZ = np.interp(tArray, linZt, linZv) - linArray = np.sqrt(linArrayX**2+linArrayY**2+linArrayZ**2)/9.81 # Convert to g's - angArrayX = np.interp(tArray, angXt, angXv) - angArrayY = np.interp(tArray, angYt, angYv) - angArrayZ = np.interp(tArray, angZt, angZv) - angArray = np.sqrt(angArrayX**2+angArrayY**2+angArrayZ**2) - -else: # Linear acceleration assumed to be a list - linT = np.zeros(3); linV = np.zeros(3) - angT = np.zeros(3); angV = np.zeros(3) - tPeak = simulationJson["time-peak-acceleration"] - tMax = simulationJson["maximum-time"] - linAccMax = simulationJson["linear-acceleration"] - angAccMax = simulationJson["angular-acceleration"] - linT[1] = angT[1] = tPeak - linT[2] = angT[2] = tMax - linV[1] = np.sqrt(linAccMax[0]**2+linAccMax[1]**2+linAccMax[2]**2) - if type(angAccMax) == list: - angV[1] = np.sqrt(angAccMax[0]**2+angAccMax[1]**2+angAccMax[2]**2) - else: # Size 1 - angV[1] = angAccMax - linArray = np.interp(tArray, linT, linV) - angArray = np.interp(tArray, angT, angV) - -tMax = (int(tArray[-1]/10)+1)*10 -linMax = (int(np.max(linArray)/10)+2)*10 -angMax = (int(np.max(angArray)/100)+2)*100 - -for fileCount in range(count1): - img = plt.imread("simulation_"+mesh+"_"+uid+".%04d.png"%fileCount) - - figure = plt.figure(figsize=(11,8)) - plt.imshow(img) - plt.axis('off') - color1 = plt.cm.viridis(0.90) - color2 = plt.cm.viridis(0.50) - - tt = tArray[:fileCount*nRes+1] - axes2 = figure.add_axes([0.58, 0.25, 0.25, 0.22]) # inset axes - - p1 = axes2.twinx() - - l1, = axes2.plot(tt, linArray[:fileCount*nRes+1], color=color1, label="Linear") - axes2.set_xlim(0, tMax); - axes2.set_ylim(0, linMax); - - p1.set_ylim(0, angMax); - l2, = p1.plot(tt, angArray[:fileCount*nRes+1], color=color2, linestyle='--', label="Angular") - - axes2.set_facecolor((.80, .80, .80)) - label = axes2.set_xlabel("time [msec]", color="white") - label = axes2.set_ylabel("acceleration [g]", color=color1) - label = p1.set_ylabel(r"[$rad/s^2$]", color=color2) - axes2.tick_params(labelcolor='white') - p1.tick_params(labelcolor='white') - lns = [l1, l2] - axes2.legend(handles=lns, loc='best') - axes2.grid(False) - p1.grid(False) - - plt.savefig("updated_simulation_"+mesh+"_"+uid+".%04d.png"%fileCount, - bbox_inches='tight', dpi = 252) - plt.close() +pressureSimulation = False +if 'pressure' in inputJson['simulation']: + pressureSimulation = True + +if not pressureSimulation: + timeArray = False + + if 'time-all' in simulationJson: + timeFull = simulationJson['time-all'] + timeArray = True + + if type(simulationJson["linear-acceleration"]) == dict: + if timeArray: + linXt = timeFull + linYt = timeFull + linZt = timeFull + angXt = timeFull + angYt = timeFull + angZt = timeFull + else: + linXt = simulationJson["linear-acceleration"]["xt"] + linYt = simulationJson["linear-acceleration"]["yt"] + linZt = simulationJson["linear-acceleration"]["zt"] + angXt = simulationJson["angular-acceleration"]["xt"] + angYt = simulationJson["angular-acceleration"]["yt"] + angZt = simulationJson["angular-acceleration"]["zt"] + + linXv = simulationJson["linear-acceleration"]["xv"] + linYv = simulationJson["linear-acceleration"]["yv"] + linZv = simulationJson["linear-acceleration"]["zv"] + angXv = simulationJson["angular-acceleration"]["xv"] + angYv = simulationJson["angular-acceleration"]["yv"] + angZv = simulationJson["angular-acceleration"]["zv"] + + linArrayX = np.interp(tArray, linXt, linXv) + linArrayY = np.interp(tArray, linYt, linYv) + linArrayZ = np.interp(tArray, linZt, linZv) + linArray = np.sqrt(linArrayX**2+linArrayY**2+linArrayZ**2)/9.81 # Convert to g's + angArrayX = np.interp(tArray, angXt, angXv) + angArrayY = np.interp(tArray, angYt, angYv) + angArrayZ = np.interp(tArray, angZt, angZv) + angArray = np.sqrt(angArrayX**2+angArrayY**2+angArrayZ**2) + + else: # Linear acceleration assumed to be a list + linT = np.zeros(3); linV = np.zeros(3) + angT = np.zeros(3); angV = np.zeros(3) + tPeak = simulationJson["time-peak-acceleration"] + tMax = simulationJson["maximum-time"] + linAccMax = simulationJson["linear-acceleration"] + angAccMax = simulationJson["angular-acceleration"] + linT[1] = angT[1] = tPeak + linT[2] = angT[2] = tMax + linV[1] = np.sqrt(linAccMax[0]**2+linAccMax[1]**2+linAccMax[2]**2) + if type(angAccMax) == list: + angV[1] = np.sqrt(angAccMax[0]**2+angAccMax[1]**2+angAccMax[2]**2) + else: # Size 1 + angV[1] = angAccMax + linArray = np.interp(tArray, linT, linV) + angArray = np.interp(tArray, angT, angV) + + tMax = (int(tArray[-1]/10)+1)*10 + linMax = (int(np.max(linArray)/10)+2)*10 + angMax = (int(np.max(angArray)/100)+2)*100 + + for fileCount in range(count1): + img = plt.imread("simulation_"+mesh+"_"+uid+".%04d.png"%fileCount) + + figure = plt.figure(figsize=(11,8)) + plt.imshow(img) + plt.axis('off') + color1 = plt.cm.viridis(0.90) + color2 = plt.cm.viridis(0.50) + + tt = tArray[:fileCount*nRes+1] + axes2 = figure.add_axes([0.58, 0.25, 0.25, 0.22]) # inset axes + + p1 = axes2.twinx() + + l1, = axes2.plot(tt, linArray[:fileCount*nRes+1], color=color1, label="Linear") + axes2.set_xlim(0, tMax); + axes2.set_ylim(0, linMax); + + p1.set_ylim(0, angMax); + l2, = p1.plot(tt, angArray[:fileCount*nRes+1], color=color2, linestyle='--', label="Angular") + + axes2.set_facecolor((.80, .80, .80)) + label = axes2.set_xlabel("time [msec]", color="white") + label = axes2.set_ylabel("acceleration [g]", color=color1) + label = p1.set_ylabel(r"[$rad/s^2$]", color=color2) + axes2.tick_params(labelcolor='white') + p1.tick_params(labelcolor='white') + lns = [l1, l2] + axes2.legend(handles=lns, loc='best') + axes2.grid(False) + p1.grid(False) + + plt.savefig("updated_simulation_"+mesh+"_"+uid+".%04d.png"%fileCount, + bbox_inches='tight', dpi = 252) + plt.close() diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index 73448f6f..c0adbdf0 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -26,61 +26,66 @@ computeAngVel = True angularVel = inputJson['simulation']['angular-velocity'] -# Check if time array is present, common for all accelerations -if 'time-all' in inputJson['simulation']: - maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 - if computeAngAcc: - maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) - if computeAngVel: - maxAV = np.max(np.sqrt(np.array(angularVel['xv'])**2+np.array(angularVel['yv'])**2+np.array(angularVel['zv'])**2)) -elif 'xt' in linearAcc: # If all sensor values have corresponding time arrays - # If they are equal compute maximum directly, else interpolate and compute - if (np.array_equal(np.array(linearAcc['xt']), np.array(linearAcc['yt'])) - and np.array_equal(np.array(linearAcc['xt']), np.array(linearAcc['zt']))): +pressureSimulation = False +if 'pressure' in inputJson['simulation']: + pressureSimulation = True + +if not pressureSimulation: + # Check if time array is present, common for all accelerations + if 'time-all' in inputJson['simulation']: maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 - else: - nCount = 5*max([len(linearAcc['xt']), len(linearAcc['yt']), len(linearAcc['zt'])]) - tmin = min(linearAcc['xt'][0], linearAcc['yt'][0], linearAcc['zt'][0]) - tmax = min(linearAcc['xt'][-1], linearAcc['yt'][-1], linearAcc['zt'][-1]) - tInter = np.linspace(tmin, tmax, nCount) - xV = np.interp(tInter, linearAcc['xt'], linearAcc['xv']) - yV = np.interp(tInter, linearAcc['yt'], linearAcc['yv']) - zV = np.interp(tInter, linearAcc['zt'], linearAcc['zv']) - maxG = np.max(np.sqrt(xV**2+yV**2+zV**2))/9.81 - if computeAngAcc: - if (np.array_equal(np.array(angularAcc['xt']), np.array(angularAcc['yt'])) - and np.array_equal(np.array(angularAcc['xt']), np.array(angularAcc['zt']))): + if computeAngAcc: maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) - else: - nCount = 5*max([len(angularAcc['xt']), len(angularAcc['yt']), len(angularAcc['zt'])]) - tmin = min(angularAcc['xt'][0], angularAcc['yt'][0], angularAcc['zt'][0]) - tmax = min(angularAcc['xt'][-1], angularAcc['yt'][-1], angularAcc['zt'][-1]) - tInter = np.linspace(tmin, tmax, nCount) - xV = np.interp(tInter, angularAcc['xt'], angularAcc['xv']) - yV = np.interp(tInter, angularAcc['yt'], angularAcc['yv']) - zV = np.interp(tInter, angularAcc['zt'], angularAcc['zv']) - maxT = np.max(np.sqrt(xV**2+yV**2+zV**2)) - - if computeAngVel: - if (np.array_equal(np.array(angularVel['xt']), np.array(angularVel['yt'])) - and np.array_equal(np.array(angularVel['xt']), np.array(angularVel['zt']))): + if computeAngVel: maxAV = np.max(np.sqrt(np.array(angularVel['xv'])**2+np.array(angularVel['yv'])**2+np.array(angularVel['zv'])**2)) + elif 'xt' in linearAcc: # If all sensor values have corresponding time arrays + # If they are equal compute maximum directly, else interpolate and compute + if (np.array_equal(np.array(linearAcc['xt']), np.array(linearAcc['yt'])) + and np.array_equal(np.array(linearAcc['xt']), np.array(linearAcc['zt']))): + maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 else: - nCount = 5*max([len(angularVel['xt']), len(angularVel['yt']), len(angularVel['zt'])]) - tmin = min(angularVel['xt'][0], angularVel['yt'][0], angularVel['zt'][0]) - tmax = min(angularVel['xt'][-1], angularVel['yt'][-1], angularVel['zt'][-1]) + nCount = 5*max([len(linearAcc['xt']), len(linearAcc['yt']), len(linearAcc['zt'])]) + tmin = min(linearAcc['xt'][0], linearAcc['yt'][0], linearAcc['zt'][0]) + tmax = min(linearAcc['xt'][-1], linearAcc['yt'][-1], linearAcc['zt'][-1]) tInter = np.linspace(tmin, tmax, nCount) - xV = np.interp(tInter, angularVel['xt'], angularVel['xv']) - yV = np.interp(tInter, angularVel['yt'], angularVel['yv']) - zV = np.interp(tInter, angularVel['zt'], angularVel['zv']) - maxAV = np.max(np.sqrt(xV**2+yV**2+zV**2)) -else: - maxG = np.sqrt(np.array(linearAcc[0])**2+np.array(linearAcc[1])**2+np.array(linearAcc[2])**2) - if computeAngAcc: - if isinstance(angularAcc, list): - maxT = np.sqrt(np.array(angularAcc[0])**2+np.array(angularAcc[1])**2+np.array(angularAcc[2])**2) - else: - maxT = np.fabs(angularAcc) + xV = np.interp(tInter, linearAcc['xt'], linearAcc['xv']) + yV = np.interp(tInter, linearAcc['yt'], linearAcc['yv']) + zV = np.interp(tInter, linearAcc['zt'], linearAcc['zv']) + maxG = np.max(np.sqrt(xV**2+yV**2+zV**2))/9.81 + if computeAngAcc: + if (np.array_equal(np.array(angularAcc['xt']), np.array(angularAcc['yt'])) + and np.array_equal(np.array(angularAcc['xt']), np.array(angularAcc['zt']))): + maxT = np.max(np.sqrt(np.array(angularAcc['xv'])**2+np.array(angularAcc['yv'])**2+np.array(angularAcc['zv'])**2)) + else: + nCount = 5*max([len(angularAcc['xt']), len(angularAcc['yt']), len(angularAcc['zt'])]) + tmin = min(angularAcc['xt'][0], angularAcc['yt'][0], angularAcc['zt'][0]) + tmax = min(angularAcc['xt'][-1], angularAcc['yt'][-1], angularAcc['zt'][-1]) + tInter = np.linspace(tmin, tmax, nCount) + xV = np.interp(tInter, angularAcc['xt'], angularAcc['xv']) + yV = np.interp(tInter, angularAcc['yt'], angularAcc['yv']) + zV = np.interp(tInter, angularAcc['zt'], angularAcc['zv']) + maxT = np.max(np.sqrt(xV**2+yV**2+zV**2)) + + if computeAngVel: + if (np.array_equal(np.array(angularVel['xt']), np.array(angularVel['yt'])) + and np.array_equal(np.array(angularVel['xt']), np.array(angularVel['zt']))): + maxAV = np.max(np.sqrt(np.array(angularVel['xv'])**2+np.array(angularVel['yv'])**2+np.array(angularVel['zv'])**2)) + else: + nCount = 5*max([len(angularVel['xt']), len(angularVel['yt']), len(angularVel['zt'])]) + tmin = min(angularVel['xt'][0], angularVel['yt'][0], angularVel['zt'][0]) + tmax = min(angularVel['xt'][-1], angularVel['yt'][-1], angularVel['zt'][-1]) + tInter = np.linspace(tmin, tmax, nCount) + xV = np.interp(tInter, angularVel['xt'], angularVel['xv']) + yV = np.interp(tInter, angularVel['yt'], angularVel['yv']) + zV = np.interp(tInter, angularVel['zt'], angularVel['zv']) + maxAV = np.max(np.sqrt(xV**2+yV**2+zV**2)) + else: + maxG = np.sqrt(np.array(linearAcc[0])**2+np.array(linearAcc[1])**2+np.array(linearAcc[2])**2) + if computeAngAcc: + if isinstance(angularAcc, list): + maxT = np.sqrt(np.array(angularAcc[0])**2+np.array(angularAcc[1])**2+np.array(angularAcc[2])**2) + else: + maxT = np.fabs(angularAcc) outputJson = json.loads(open(jsonOutputFile).read()) @@ -121,11 +126,12 @@ json.dump(outputJsonMetric, outfile, indent = 2, sort_keys=False) # Add max quantities -outputJson["max-linear-acc-g"] = maxG -if computeAngAcc: - outputJson["max-angular-acc-rads2"] = maxT -if computeAngVel: - outputJson["max-angular-vel-rads"] = maxAV +if not pressureSimulation: + outputJson["max-linear-acc-g"] = maxG + if computeAngAcc: + outputJson["max-angular-acc-rads2"] = maxT + if computeAngVel: + outputJson["max-angular-vel-rads"] = maxAV if 'output-nodes' in inputJson['simulation'] or 'output-elements' in inputJson['simulation']: # Open plot column file diff --git a/src/fem/SolidMechanics/StressUpdate.cpp b/src/fem/SolidMechanics/StressUpdate.cpp index 19e9d655..018592c0 100644 --- a/src/fem/SolidMechanics/StressUpdate.cpp +++ b/src/fem/SolidMechanics/StressUpdate.cpp @@ -8,7 +8,7 @@ void StressUpdate(int e, int gp){ case 0 : // Rigid-body motion break; case 1 : //Compressible Neohookean - NeoHookeanAbaqus(e, gp); + CompressibleNeoHookean(e, gp); break; case 2 : // St. Venant-Kirchhoff StVenantKirchhoff(e, gp); diff --git a/src/materials/CMakeLists.txt b/src/materials/CMakeLists.txt index 575db193..89d144e2 100644 --- a/src/materials/CMakeLists.txt +++ b/src/materials/CMakeLists.txt @@ -1,7 +1,6 @@ Set(materials_src materials.cpp CompressibleNeoHookean.cpp - NeoHookeanAbaqus.cpp StVenantKirchhoff.cpp LinearElastic.cpp HGOIsotropic.cpp diff --git a/src/materials/NeoHookeanAbaqus.cpp b/src/materials/NeoHookeanAbaqus.cpp index b562aab0..804be681 100644 --- a/src/materials/NeoHookeanAbaqus.cpp +++ b/src/materials/NeoHookeanAbaqus.cpp @@ -2,15 +2,9 @@ #include "blas.h" // plane strain or three-dimensional compressible neo-Hookean -// Evaluates the PK2 stress tensor +// Evaluates the Cauchy stress tensor void NeoHookeanAbaqus(int e, int gp){ - if(ndim == 2) { - // 6 values saved per gauss point for 3d - // for(int i=0;i<3;i++){ - // int index = pk2[e]+3*gp+i; - // } - } if(ndim == 3) { int index = fptr[e] + ndim * ndim * gp; int index2 = detFptr[e] + gp; From 69d65a5e046d43945e7ef2b8ccc92d473dbffa59 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 31 Oct 2021 19:37:29 +0530 Subject: [PATCH 082/106] Added elements that report very low time step Write paraview output file just before failure --- examples/ex21/ex21.cpp | 33 +++++++++++++++++++++++++++++++-- examples/ex5/ex5.cpp | 33 +++++++++++++++++++++++++++++++-- src/timestep/StableTimeStep.cpp | 28 ++++++++++++++-------------- 3 files changed, 76 insertions(+), 18 deletions(-) diff --git a/examples/ex21/ex21.cpp b/examples/ex21/ex21.cpp index 8a3d5cf9..5de8c8bb 100644 --- a/examples/ex21/ex21.cpp +++ b/examples/ex21/ex21.cpp @@ -223,8 +223,13 @@ int main(int argc, char **argv) { // Needs to be after shapefunctions CustomPlot(); + double stableDt = StableTimeStep(); + if (stableDt < FailureTimeStep) { + TerminateFemTech(19); + } + /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ - dt = ExplicitTimeStepReduction * StableTimeStep(); + dt = ExplicitTimeStepReduction * stableDt; /* Step-2: getforce step from Belytschko */ // In GetForce for viscoelastic material dt is required, hence we compute dt // prior to getforce to avoid special treatment of getforce at Time = 0 @@ -327,8 +332,32 @@ int main(int argc, char **argv) { } } } + stableDt = StableTimeStep(); + // Moved stable time step termination to example to write paraview output + // file for debug + if (stableDt < FailureTimeStep) { + FILE_LOG_MASTER(INFO, "Time at failure : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, + tMax); + plot_counter = plot_counter + 1; + if (plot_counter < MAXPLOTSTEPS) { + stepTime[plot_counter] = Time; + if (writeField) { + FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); + if (computeInjuryFlag) { + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputDoubleCount, outputDoubleNames); + } else { + WriteVTU(outputFileName.c_str(), plot_counter); + } + WritePVD(outputFileName.c_str(), plot_counter); + } + } + TerminateFemTech(19); + } + + dt = ExplicitTimeStepReduction * stableDt; time_step_counter = time_step_counter + 1; - dt = ExplicitTimeStepReduction * StableTimeStep(); // Barrier not a must MPI_Barrier(MPI_COMM_WORLD); diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 07df372f..7cd002eb 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -215,8 +215,13 @@ int main(int argc, char **argv) { // Needs to be after shapefunctions CustomPlot(); + double stableDt = StableTimeStep(); + if (stableDt < FailureTimeStep) { + TerminateFemTech(19); + } + /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ - dt = ExplicitTimeStepReduction * StableTimeStep(); + dt = ExplicitTimeStepReduction * stableDt; /* Step-2: getforce step from Belytschko */ // In GetForce for viscoelastic material dt is required, hence we compute dt // prior to getforce to avoid special treatment of getforce at Time = 0 @@ -319,8 +324,32 @@ int main(int argc, char **argv) { } } } + stableDt = StableTimeStep(); + // Moved stable time step termination to example to write paraview output + // file for debug + if (stableDt < FailureTimeStep) { + FILE_LOG_MASTER(INFO, "Time at failure : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, + tMax); + plot_counter = plot_counter + 1; + if (plot_counter < MAXPLOTSTEPS) { + stepTime[plot_counter] = Time; + if (writeField) { + FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); + if (computeInjuryFlag) { + WriteVTU(outputFileName.c_str(), plot_counter, outputDataArray, outputCount, + outputNames, elementIDInjury, nElementsInjury, outputDoubleArray, + outputDoubleCount, outputDoubleNames); + } else { + WriteVTU(outputFileName.c_str(), plot_counter); + } + WritePVD(outputFileName.c_str(), plot_counter); + } + } + TerminateFemTech(19); + } + + dt = ExplicitTimeStepReduction * stableDt; time_step_counter = time_step_counter + 1; - dt = ExplicitTimeStepReduction * StableTimeStep(); // Barrier not a must MPI_Barrier(MPI_COMM_WORLD); diff --git a/src/timestep/StableTimeStep.cpp b/src/timestep/StableTimeStep.cpp index d3f25316..ed6648f0 100644 --- a/src/timestep/StableTimeStep.cpp +++ b/src/timestep/StableTimeStep.cpp @@ -15,18 +15,8 @@ double StableTimeStep() { } } - for(int i=0;i Rigid element + if (materialID[pid[i]] != 0) { + dtElem = CalculateTimeStep(i); + if (dtElem < FailureTimeStep) { + FILE_LOG_SINGLE(ERROR, "Small timestep detected in element number : %8d", global_eid[i]); + } + } + } } if(dtMin > MaxTimeStep){ dtMin = MaxTimeStep; From eae36b559421931f524ab329b79f3e3d30bf37b1 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 31 Oct 2021 22:57:51 +0530 Subject: [PATCH 083/106] Corrected wavespeed calculation when there is a pre-trigger --- examples/ex1/ex1.cpp | 1 + examples/ex10/ex10.cpp | 2 +- examples/ex21/ex21.cpp | 5 +++-- examples/ex5/ex5.cpp | 5 +++-- examples/ex9/ex9.cpp | 2 +- include/GlobalVariables.h | 1 + src/materials/CalculateWaveSpeed.cpp | 6 +++--- 7 files changed, 13 insertions(+), 9 deletions(-) diff --git a/examples/ex1/ex1.cpp b/examples/ex1/ex1.cpp index f4e43ef1..349b928e 100644 --- a/examples/ex1/ex1.cpp +++ b/examples/ex1/ex1.cpp @@ -6,6 +6,7 @@ bool ImplicitDynamic = true; bool ExplicitDynamic = false; double Time = 0.0; +double tInitial = 0.0; int main(int argc, char **argv){ diff --git a/examples/ex10/ex10.cpp b/examples/ex10/ex10.cpp index 21d122eb..f3ed87de 100644 --- a/examples/ex10/ex10.cpp +++ b/examples/ex10/ex10.cpp @@ -6,7 +6,7 @@ void ApplyBoundaryConditions(double dMax, double tMax); void CustomPlot(); -double Time, dt; +double Time, dt, tInital = 0.0; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; diff --git a/examples/ex21/ex21.cpp b/examples/ex21/ex21.cpp index 5de8c8bb..6729c0db 100644 --- a/examples/ex21/ex21.cpp +++ b/examples/ex21/ex21.cpp @@ -25,7 +25,7 @@ void WriteOutputFile(); void WriteMPS(void); /* Global Variables/Parameters */ -double Time = 0.0, dt; +double Time = 0.0, dt, tInitial; int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; @@ -196,7 +196,8 @@ int main(int argc, char **argv) { // Initial settings for BC evaluations // Used if initial velocity and acceleration BC is to be set. - Time = InitBoundaryCondition(simulationJson); + tInitial = InitBoundaryCondition(simulationJson); + Time = tInitial; /* Write inital, undeformed configuration*/ int plot_counter = 0; diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 7cd002eb..1f7f82a0 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -31,7 +31,7 @@ void TransformMesh(const Json::Value &jsonInput); void WriteMPS(void); /* Global Variables/Parameters */ -double Time = 0.0, dt; +double Time = 0.0, dt, tInitial; int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; @@ -188,7 +188,8 @@ int main(int argc, char **argv) { // Initial settings for BC evaluations // Used if initial velocity and acceleration BC is to be set. - Time = InitBoundaryCondition(simulationJson); + tInitial = InitBoundaryCondition(simulationJson); + Time = tInitial; /* Write inital, undeformed configuration*/ int plot_counter = 0; diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 33b291bc..7441bb12 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -16,7 +16,7 @@ bool writeElementOP = false; int plotNodeID = 0; int plotElemID = 0; -double Time, dt; +double Time, dt, tInitial = 0.0; int nSteps; double dynamicDamping = 0.01; diff --git a/include/GlobalVariables.h b/include/GlobalVariables.h index a2022bf0..8505854a 100644 --- a/include/GlobalVariables.h +++ b/include/GlobalVariables.h @@ -107,6 +107,7 @@ static int debug = 1; /* Setting it to 1 has no effect when compiled in non-debu // For unsteady nStep and time are set by solver extern double Time; extern double dt; +extern double tInitial; extern double *stepTime; // Variables to keep store the communication patterns between processes diff --git a/src/materials/CalculateWaveSpeed.cpp b/src/materials/CalculateWaveSpeed.cpp index 3668c9ed..a53f0af9 100644 --- a/src/materials/CalculateWaveSpeed.cpp +++ b/src/materials/CalculateWaveSpeed.cpp @@ -29,14 +29,14 @@ double CalculateWaveSpeed(const unsigned int partID) { for (int i = 0; i < nPronyL; ++i) { const double gi = partProperties[6+2*i]; const double taui = partProperties[7+2*i]; - viscoEffect = viscoEffect + gi*exp(-Time/taui); + viscoEffect = viscoEffect + gi*exp(-1.0*(Time-tInitial)/taui); } mu = muI * viscoEffect; break; case 6 : // LS-Dyna Maxwell viscoelastic material equivalent lambda = partProperties[1]; muI = partProperties[2]; - viscoEffect = 1.0 + partProperties[3]*exp(-Time*properties[4]); + viscoEffect = 1.0 + partProperties[3]*exp(-1.0*(Time-tInitial)*properties[4]); mu = muI *viscoEffect; break; case 7 : // Ogden @@ -64,7 +64,7 @@ double CalculateWaveSpeed(const unsigned int partID) { for (int i = 0; i < nPronyL; ++i) { const double gi = partProperties[4+2*(i+nTerm)]; const double taui = partProperties[5+2*(i+nTerm)]; - viscoEffect = viscoEffect + gi*exp(-Time/taui); + viscoEffect = viscoEffect + gi*exp(-1.0*(Time-tInitial)/taui); } mu = muI * viscoEffect; lambda = K - 2.0*mu/3.0; From 95caa905f61c2fe2d17d5dc434ef4e2863e746f4 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 31 Oct 2021 23:11:48 +0530 Subject: [PATCH 084/106] modified examples for tinitial global variable --- examples/ex10/ex10.cpp | 2 +- examples/ex18/ex18.cpp | 2 +- examples/ex19/ex19.cpp | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/examples/ex10/ex10.cpp b/examples/ex10/ex10.cpp index 5f74512a..daa45a86 100644 --- a/examples/ex10/ex10.cpp +++ b/examples/ex10/ex10.cpp @@ -6,7 +6,7 @@ void ApplyBoundaryConditions(double dMax, double tMax); void CustomPlot(); -double Time, dt, tInital = 0.0; +double Time, dt, tInitial = 0.0; int nSteps; double ExplicitTimeStepReduction = 0.8; double FailureTimeStep = 1e-11; diff --git a/examples/ex18/ex18.cpp b/examples/ex18/ex18.cpp index f77e65fd..dfe586d9 100644 --- a/examples/ex18/ex18.cpp +++ b/examples/ex18/ex18.cpp @@ -28,7 +28,7 @@ void CalculateInjuryCriterions(void); void TransformMesh(const Json::Value& jsonInput); /* Global Variables/Parameters */ -double Time, dt; +double Time, dt, tInitial = 0.0; int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; diff --git a/examples/ex19/ex19.cpp b/examples/ex19/ex19.cpp index 9d956520..8dc57ddf 100644 --- a/examples/ex19/ex19.cpp +++ b/examples/ex19/ex19.cpp @@ -8,7 +8,7 @@ void ApplyVelocityBoundaryConditions(double); void InitVelocityBoundaryConditions(); void CustomPlot(); -double Time, dt; +double Time, dt, tInitial = 0.0; int nSteps; double dynamicDamping = 0.000; From 938517f0b07da4b7d4ebeb18f3ea300a9ad760ad Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 31 Oct 2021 23:17:25 +0530 Subject: [PATCH 085/106] Added reduced integration to ex21 --- examples/ex21/ex21.cpp | 11 +++++++++++ 1 file changed, 11 insertions(+) diff --git a/examples/ex21/ex21.cpp b/examples/ex21/ex21.cpp index 6729c0db..c0d783f5 100644 --- a/examples/ex21/ex21.cpp +++ b/examples/ex21/ex21.cpp @@ -30,6 +30,7 @@ int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; +bool reducedIntegration = false; double dynamicDamping = 0.000; double ExplicitTimeStepReduction = 0.8; @@ -177,6 +178,16 @@ int main(int argc, char **argv) { if (!simulationJson["compute-injury-criteria"].empty()) { computeInjuryFlag = simulationJson["compute-injury-criteria"].asBool(); } + if (!simulationJson["reduced-integration"].empty()) { + reducedIntegration = simulationJson["reduced-integration"].asBool(); + } + if (reducedIntegration) { + FILE_LOG_MASTER(INFO, "Solver using reduced integration"); + } + if (!simulationJson["dynamic-damping"].empty()) { + dynamicDamping = simulationJson["dynamic-damping"].asDouble(); + } + FILE_LOG_MASTER(INFO, "Dynamic damping set to : %.3f", dynamicDamping); FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); // Read Input Mesh file and equally partition elements among processes ReadInputFile(meshFile.c_str()); From 834d9b599a79cf1c1634f15da2b50d12ce6d9129 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 1 Nov 2021 14:24:01 +0530 Subject: [PATCH 086/106] Modifications for better debug --- examples/ex21/ex21.cpp | 11 +++++++++++ src/timestep/StableTimeStep.cpp | 2 +- 2 files changed, 12 insertions(+), 1 deletion(-) diff --git a/examples/ex21/ex21.cpp b/examples/ex21/ex21.cpp index 6729c0db..c0d783f5 100644 --- a/examples/ex21/ex21.cpp +++ b/examples/ex21/ex21.cpp @@ -30,6 +30,7 @@ int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; +bool reducedIntegration = false; double dynamicDamping = 0.000; double ExplicitTimeStepReduction = 0.8; @@ -177,6 +178,16 @@ int main(int argc, char **argv) { if (!simulationJson["compute-injury-criteria"].empty()) { computeInjuryFlag = simulationJson["compute-injury-criteria"].asBool(); } + if (!simulationJson["reduced-integration"].empty()) { + reducedIntegration = simulationJson["reduced-integration"].asBool(); + } + if (reducedIntegration) { + FILE_LOG_MASTER(INFO, "Solver using reduced integration"); + } + if (!simulationJson["dynamic-damping"].empty()) { + dynamicDamping = simulationJson["dynamic-damping"].asDouble(); + } + FILE_LOG_MASTER(INFO, "Dynamic damping set to : %.3f", dynamicDamping); FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); // Read Input Mesh file and equally partition elements among processes ReadInputFile(meshFile.c_str()); diff --git a/src/timestep/StableTimeStep.cpp b/src/timestep/StableTimeStep.cpp index ed6648f0..3d53d8a2 100644 --- a/src/timestep/StableTimeStep.cpp +++ b/src/timestep/StableTimeStep.cpp @@ -40,7 +40,7 @@ double StableTimeStep() { if (materialID[pid[i]] != 0) { dtElem = CalculateTimeStep(i); if (dtElem < FailureTimeStep) { - FILE_LOG_SINGLE(ERROR, "Small timestep detected in element number : %8d", global_eid[i]); + FILE_LOG_SINGLE(ERROR, "Small timestep detected in element number : %8d, dt = %15.9e, wave speed = %15.9e", global_eid[i], dtElem, waveSpeed[i]); } } } From 478eb9dd3ab8b7c3c09ee1e254599e823daaf18f Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Fri, 3 Dec 2021 23:47:26 +0530 Subject: [PATCH 087/106] Set tmax to 30 for RI --- examples/ex5/ex5.cpp | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index ee825d88..f86c10d3 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -180,6 +180,11 @@ int main(int argc, char **argv) { if (!simulationJson["dynamic-damping"].empty()) { dynamicDamping = simulationJson["dynamic-damping"].asDouble(); } + if (reducedIntegration) { + if (tMax > 30.0) { + tMax = 30.0; + } + } FILE_LOG_MASTER(INFO, "Dynamic damping set to : %.3f", dynamicDamping); FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); // Read Input Mesh file and equally partition elements among processes From 77b5e6f28d012cf07b5fd17625ca74db48cfb4b4 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 4 Dec 2021 17:09:32 +0530 Subject: [PATCH 088/106] Made reduced integration to be default --- examples/ex5/ex5.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index f86c10d3..9e763840 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -36,7 +36,7 @@ int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; -bool reducedIntegration = false; +bool reducedIntegration = true; double dynamicDamping = 0.000; double ExplicitTimeStepReduction = 0.8; From 0652e9ac0d1c3a6e09fffe57cf4f904f6565c377 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sat, 4 Dec 2021 21:32:33 +0530 Subject: [PATCH 089/106] Set RI tmax to 15, strain max to 30 --- examples/ex5/ex5.cpp | 11 ++++++++--- 1 file changed, 8 insertions(+), 3 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 9e763840..46b31337 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -155,6 +155,8 @@ state_type yInt, ydotInt; double cm[3]; std::string outputFileName; +bool exceedFlag = false; + int main(int argc, char **argv) { // Initialize FemTech including logfile and MPI Json::Value inputJson = InitFemTech(argc, argv); @@ -181,8 +183,8 @@ int main(int argc, char **argv) { dynamicDamping = simulationJson["dynamic-damping"].asDouble(); } if (reducedIntegration) { - if (tMax > 30.0) { - tMax = 30.0; + if (tMax > 15.0) { + tMax = 15.0; } } FILE_LOG_MASTER(INFO, "Dynamic damping set to : %.3f", dynamicDamping); @@ -273,7 +275,7 @@ int main(int argc, char **argv) { /* Step-4: Time loop starts....*/ - while (Time < tMax) { + while ((Time < tMax) && !exceedFlag) { t_n = Time; double t_np1 = Time + dt; double dtby2 = 0.5*dt; @@ -1758,6 +1760,9 @@ void CalculateInjuryCriteria(void) { elementMPS[i] = currentStrainMaxElem; } } // For loop over elements included for injury + if (maxValue[0] > 0.3) { + exceedFlag = true; + } // Compute 95 percentile MPS and corresponding element list double MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); From 989ce5ac0442167087722e7f6e2a9ff64e4524df Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 5 Dec 2021 00:14:31 +0530 Subject: [PATCH 090/106] Tmax bug correted --- examples/ex5/ex5.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 46b31337..02cab105 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -183,8 +183,8 @@ int main(int argc, char **argv) { dynamicDamping = simulationJson["dynamic-damping"].asDouble(); } if (reducedIntegration) { - if (tMax > 15.0) { - tMax = 15.0; + if (tMax > 0.015) { + tMax = 0.015; } } FILE_LOG_MASTER(INFO, "Dynamic damping set to : %.3f", dynamicDamping); From a452d334831250407fdd241b7fcb463fda9bab8f Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 5 Dec 2021 02:40:22 +0530 Subject: [PATCH 091/106] Corrected bug with stop criterion sync --- examples/ex5/ex5.cpp | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 02cab105..1f079d01 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -182,11 +182,11 @@ int main(int argc, char **argv) { if (!simulationJson["dynamic-damping"].empty()) { dynamicDamping = simulationJson["dynamic-damping"].asDouble(); } - if (reducedIntegration) { - if (tMax > 0.015) { - tMax = 0.015; - } - } + // if (reducedIntegration) { + // if (tMax > 0.015) { + // tMax = 0.015; + // } + // } FILE_LOG_MASTER(INFO, "Dynamic damping set to : %.3f", dynamicDamping); FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); // Read Input Mesh file and equally partition elements among processes @@ -372,6 +372,7 @@ int main(int argc, char **argv) { dt = ExplicitTimeStepReduction * stableDt; time_step_counter = time_step_counter + 1; + MPI_Allreduce(MPI_IN_PLACE, &exceedFlag, 1, MPI_C_BOOL, MPI_LOR, MPI_COMM_WORLD); // Barrier not a must MPI_Barrier(MPI_COMM_WORLD); } // end explcit while loop From 07a33cf3a92cac6f4d38077c393aa8bb1af409a2 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 5 Dec 2021 18:35:02 +0530 Subject: [PATCH 092/106] Repoerting mps95 --- examples/ex5/ex5.cpp | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 1f079d01..35d88c51 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -1613,6 +1613,7 @@ void WriteOutputFile() { free(countPerProc); free(cumCountPerProc); } + output[maxOutput[0]]["value"] = percentileValue[0]; } // Write output to file @@ -1761,7 +1762,7 @@ void CalculateInjuryCriteria(void) { elementMPS[i] = currentStrainMaxElem; } } // For loop over elements included for injury - if (maxValue[0] > 0.3) { + if (maxValue[0] > 0.4) { exceedFlag = true; } From 376271ab84284546b2177057595230b0cfaa3d77 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 5 Dec 2021 23:21:54 +0530 Subject: [PATCH 093/106] Bringing variablility --- examples/ex5/ex5.cpp | 14 +++++++++----- 1 file changed, 9 insertions(+), 5 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 35d88c51..08744916 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -11,6 +11,8 @@ #include #include // For JSON output unique pointer #include +#include +#include #include @@ -182,11 +184,13 @@ int main(int argc, char **argv) { if (!simulationJson["dynamic-damping"].empty()) { dynamicDamping = simulationJson["dynamic-damping"].asDouble(); } - // if (reducedIntegration) { - // if (tMax > 0.015) { - // tMax = 0.015; - // } - // } + if (reducedIntegration) { + if (tMax > 0.005) { + srand((unsigned int)time(0)); + double tRand = 0.007*((double)rand()/(double)RAND_MAX); + tMax = 0.005 + tRand; + } + } FILE_LOG_MASTER(INFO, "Dynamic damping set to : %.3f", dynamicDamping); FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); // Read Input Mesh file and equally partition elements among processes From ccd270e7c7db7fb57095187b1d04c8d6d4fbd581 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 7 Feb 2022 08:29:50 +0530 Subject: [PATCH 094/106] Removed tmax and strain max limits --- examples/ex5/ex5.cpp | 27 ++++++++++++++------------- 1 file changed, 14 insertions(+), 13 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 08744916..52fd863e 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -157,7 +157,7 @@ state_type yInt, ydotInt; double cm[3]; std::string outputFileName; -bool exceedFlag = false; +// bool exceedFlag = false; int main(int argc, char **argv) { // Initialize FemTech including logfile and MPI @@ -184,13 +184,13 @@ int main(int argc, char **argv) { if (!simulationJson["dynamic-damping"].empty()) { dynamicDamping = simulationJson["dynamic-damping"].asDouble(); } - if (reducedIntegration) { - if (tMax > 0.005) { - srand((unsigned int)time(0)); - double tRand = 0.007*((double)rand()/(double)RAND_MAX); - tMax = 0.005 + tRand; - } - } + // if (reducedIntegration) { + // if (tMax > 0.005) { + // srand((unsigned int)time(0)); + // double tRand = 0.007*((double)rand()/(double)RAND_MAX); + // tMax = 0.005 + tRand; + // } + // } FILE_LOG_MASTER(INFO, "Dynamic damping set to : %.3f", dynamicDamping); FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); // Read Input Mesh file and equally partition elements among processes @@ -279,7 +279,8 @@ int main(int argc, char **argv) { /* Step-4: Time loop starts....*/ - while ((Time < tMax) && !exceedFlag) { + // while ((Time < tMax) && !exceedFlag) { + while (Time < tMax) { t_n = Time; double t_np1 = Time + dt; double dtby2 = 0.5*dt; @@ -376,7 +377,7 @@ int main(int argc, char **argv) { dt = ExplicitTimeStepReduction * stableDt; time_step_counter = time_step_counter + 1; - MPI_Allreduce(MPI_IN_PLACE, &exceedFlag, 1, MPI_C_BOOL, MPI_LOR, MPI_COMM_WORLD); + // MPI_Allreduce(MPI_IN_PLACE, &exceedFlag, 1, MPI_C_BOOL, MPI_LOR, MPI_COMM_WORLD); // Barrier not a must MPI_Barrier(MPI_COMM_WORLD); } // end explcit while loop @@ -1766,9 +1767,9 @@ void CalculateInjuryCriteria(void) { elementMPS[i] = currentStrainMaxElem; } } // For loop over elements included for injury - if (maxValue[0] > 0.4) { - exceedFlag = true; - } + // if (maxValue[0] > 0.4) { + // exceedFlag = true; + // } // Compute 95 percentile MPS and corresponding element list double MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); From 7ba44061f7303c993694b37710209d9e25440191 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 7 Feb 2022 23:59:42 +0530 Subject: [PATCH 095/106] Materials file witl lower poisson ratio, ex5 --- examples/ex5/materials.dat | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/examples/ex5/materials.dat b/examples/ex5/materials.dat index 1f11f8a9..5f633c79 100644 --- a/examples/ex5/materials.dat +++ b/examples/ex5/materials.dat @@ -1,13 +1,13 @@ 0 0 2000 1 1 1040 50000 21966666.66667 -2 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -3 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -4 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -5 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -6 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -7 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -8 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -9 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +2 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +3 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +4 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +5 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +6 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +7 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +8 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +9 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 # form of file # partID (starting at 0), material ID (goes with consitutive model), ... From 1e9f46095ae1f1e0d736dab82837e5008d3a0302 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 9 Feb 2022 23:31:01 +0530 Subject: [PATCH 096/106] Removed angular-velocity input --- examples/ex5/ex5.cpp | 122 +++++++++++++++++++-------------------- examples/ex5/test_ex5.sh | 4 +- 2 files changed, 63 insertions(+), 63 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 52fd863e..885abb5a 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -750,35 +750,35 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { memcpy(linAccYt, linAccXt, timeSize*sizeof(double)); memcpy(linAccZt, linAccXt, timeSize*sizeof(double)); - if (!jsonInput["angular-velocity"].empty()) { - angVelXSize = jsonInput["angular-velocity"]["xv"].size(); - assert(timeSize == angVelXSize); - angVelYSize = jsonInput["angular-velocity"]["yv"].size(); - assert(timeSize == angVelYSize); - angVelZSize = jsonInput["angular-velocity"]["zv"].size(); - assert(timeSize == angVelZSize); - - angVelXt = (double *)malloc(sizeof(double) * angVelXSize); - angVelXv = (double *)malloc(sizeof(double) * angVelXSize); - angVelYt = (double *)malloc(sizeof(double) * angVelYSize); - angVelYv = (double *)malloc(sizeof(double) * angVelYSize); - angVelZt = (double *)malloc(sizeof(double) * angVelZSize); - angVelZv = (double *)malloc(sizeof(double) * angVelZSize); - - jsonToArray(angVelXv, jsonInput["angular-velocity"]["xv"]); - jsonToArray(angVelYv, jsonInput["angular-velocity"]["yv"]); - jsonToArray(angVelZv, jsonInput["angular-velocity"]["zv"]); - memcpy(angVelXt, linAccXt, timeSize*sizeof(double)); - memcpy(angVelYt, linAccXt, timeSize*sizeof(double)); - memcpy(angVelZt, linAccXt, timeSize*sizeof(double)); - angularVelPrescribed = true; - } else { - if (jsonInput["angular-acceleration"].empty()) { - // If both angular acceleration or angular velocity is not prescribed - // terminate the application - FILE_LOG_SINGLE(ERROR, "Either angular acceleration or angular velocity has to be prescribed"); - TerminateFemTech(12); - } + // if (!jsonInput["angular-velocity"].empty()) { + // angVelXSize = jsonInput["angular-velocity"]["xv"].size(); + // assert(timeSize == angVelXSize); + // angVelYSize = jsonInput["angular-velocity"]["yv"].size(); + // assert(timeSize == angVelYSize); + // angVelZSize = jsonInput["angular-velocity"]["zv"].size(); + // assert(timeSize == angVelZSize); + // + // angVelXt = (double *)malloc(sizeof(double) * angVelXSize); + // angVelXv = (double *)malloc(sizeof(double) * angVelXSize); + // angVelYt = (double *)malloc(sizeof(double) * angVelYSize); + // angVelYv = (double *)malloc(sizeof(double) * angVelYSize); + // angVelZt = (double *)malloc(sizeof(double) * angVelZSize); + // angVelZv = (double *)malloc(sizeof(double) * angVelZSize); + // + // jsonToArray(angVelXv, jsonInput["angular-velocity"]["xv"]); + // jsonToArray(angVelYv, jsonInput["angular-velocity"]["yv"]); + // jsonToArray(angVelZv, jsonInput["angular-velocity"]["zv"]); + // memcpy(angVelXt, linAccXt, timeSize*sizeof(double)); + // memcpy(angVelYt, linAccXt, timeSize*sizeof(double)); + // memcpy(angVelZt, linAccXt, timeSize*sizeof(double)); + // angularVelPrescribed = true; + // } else { + // if (jsonInput["angular-acceleration"].empty()) { + // // If both angular acceleration or angular velocity is not prescribed + // // terminate the application + // FILE_LOG_SINGLE(ERROR, "Either angular acceleration or angular velocity has to be prescribed"); + // TerminateFemTech(12); + // } angAccXSize = jsonInput["angular-acceleration"]["xv"].size(); assert(timeSize == angAccXSize); angAccYSize = jsonInput["angular-acceleration"]["yv"].size(); @@ -799,7 +799,7 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { memcpy(angAccXt, linAccXt, timeSize*sizeof(double)); memcpy(angAccYt, linAccXt, timeSize*sizeof(double)); memcpy(angAccZt, linAccXt, timeSize*sizeof(double)); - } + // } } else { // Read linear acceleration and angular acceleration time traces linAccXSize = jsonInput["linear-acceleration"]["xt"].size(); @@ -824,36 +824,36 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { jsonToArray(linAccZt, jsonInput["linear-acceleration"]["zt"]); jsonToArray(linAccZv, jsonInput["linear-acceleration"]["zv"]); - if (!jsonInput["angular-velocity"].empty()) { - angVelXSize = jsonInput["angular-velocity"]["xt"].size(); - tempSize = jsonInput["angular-velocity"]["xv"].size(); - assert(tempSize == angVelXSize); - angVelXt = (double *)malloc(sizeof(double) * angVelXSize); - angVelXv = (double *)malloc(sizeof(double) * angVelXSize); - angVelYSize = jsonInput["angular-velocity"]["yt"].size(); - tempSize = jsonInput["angular-velocity"]["yv"].size(); - assert(tempSize == angVelYSize); - angVelYt = (double *)malloc(sizeof(double) * angVelYSize); - angVelYv = (double *)malloc(sizeof(double) * angVelYSize); - angVelZSize = jsonInput["angular-velocity"]["zt"].size(); - tempSize = jsonInput["angular-velocity"]["zv"].size(); - assert(tempSize == angVelZSize); - angVelZt = (double *)malloc(sizeof(double) * angVelZSize); - angVelZv = (double *)malloc(sizeof(double) * angVelZSize); - jsonToArray(angVelXt, jsonInput["angular-velocity"]["xt"]); - jsonToArray(angVelXv, jsonInput["angular-velocity"]["xv"]); - jsonToArray(angVelYt, jsonInput["angular-velocity"]["yt"]); - jsonToArray(angVelYv, jsonInput["angular-velocity"]["yv"]); - jsonToArray(angVelZt, jsonInput["angular-velocity"]["zt"]); - jsonToArray(angVelZv, jsonInput["angular-velocity"]["zv"]); - angularVelPrescribed = true; - } else { - if (jsonInput["angular-acceleration"].empty()) { - // If both angular acceleration or angular velocity is not prescribed - // terminate the application - FILE_LOG_SINGLE(ERROR, "Either angular acceleration or angular velocity has to be prescribed"); - TerminateFemTech(12); - } + // if (!jsonInput["angular-velocity"].empty()) { + // angVelXSize = jsonInput["angular-velocity"]["xt"].size(); + // tempSize = jsonInput["angular-velocity"]["xv"].size(); + // assert(tempSize == angVelXSize); + // angVelXt = (double *)malloc(sizeof(double) * angVelXSize); + // angVelXv = (double *)malloc(sizeof(double) * angVelXSize); + // angVelYSize = jsonInput["angular-velocity"]["yt"].size(); + // tempSize = jsonInput["angular-velocity"]["yv"].size(); + // assert(tempSize == angVelYSize); + // angVelYt = (double *)malloc(sizeof(double) * angVelYSize); + // angVelYv = (double *)malloc(sizeof(double) * angVelYSize); + // angVelZSize = jsonInput["angular-velocity"]["zt"].size(); + // tempSize = jsonInput["angular-velocity"]["zv"].size(); + // assert(tempSize == angVelZSize); + // angVelZt = (double *)malloc(sizeof(double) * angVelZSize); + // angVelZv = (double *)malloc(sizeof(double) * angVelZSize); + // jsonToArray(angVelXt, jsonInput["angular-velocity"]["xt"]); + // jsonToArray(angVelXv, jsonInput["angular-velocity"]["xv"]); + // jsonToArray(angVelYt, jsonInput["angular-velocity"]["yt"]); + // jsonToArray(angVelYv, jsonInput["angular-velocity"]["yv"]); + // jsonToArray(angVelZt, jsonInput["angular-velocity"]["zt"]); + // jsonToArray(angVelZv, jsonInput["angular-velocity"]["zv"]); + // angularVelPrescribed = true; + // } else { + // if (jsonInput["angular-acceleration"].empty()) { + // // If both angular acceleration or angular velocity is not prescribed + // // terminate the application + // FILE_LOG_SINGLE(ERROR, "Either angular acceleration or angular velocity has to be prescribed"); + // TerminateFemTech(12); + // } angAccXSize = jsonInput["angular-acceleration"]["xt"].size(); tempSize = jsonInput["angular-acceleration"]["xv"].size(); assert(tempSize == angAccXSize); @@ -875,7 +875,7 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { jsonToArray(angAccYv, jsonInput["angular-acceleration"]["yv"]); jsonToArray(angAccZt, jsonInput["angular-acceleration"]["zt"]); jsonToArray(angAccZv, jsonInput["angular-acceleration"]["zv"]); - } + // } } // Convert linear accelerations from g force to m/s^2 diff --git a/examples/ex5/test_ex5.sh b/examples/ex5/test_ex5.sh index 7fb615ce..eac0104e 100755 --- a/examples/ex5/test_ex5.sh +++ b/examples/ex5/test_ex5.sh @@ -12,8 +12,8 @@ testInputFiles=( pt x ) # Values of element id expected in the order, max-shear, min-principal, # max-principal value_p1=( 9821 7323 10243 ) -value_pt=( 7740 14281 7748 ) -value_x=( 7932 7932 7863 ) +value_pt=( 7875 8153 10491 ) +value_x=( 8153 8153 10002 ) value_s=( 7740 7740 7740 ) # Run all tests and check output From ccf2450112d7a8a9e9e818bb2033fa8f08f95d0f Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 23 Mar 2022 07:03:56 +0530 Subject: [PATCH 097/106] Added average pressure to ex21, pressure bc --- examples/ex21/ex21.cpp | 89 +++++++++++++++++++++++------------------- 1 file changed, 49 insertions(+), 40 deletions(-) diff --git a/examples/ex21/ex21.cpp b/examples/ex21/ex21.cpp index c0d783f5..1ed3cd75 100644 --- a/examples/ex21/ex21.cpp +++ b/examples/ex21/ex21.cpp @@ -637,50 +637,59 @@ double InitBoundaryCondition(const Json::Value &jsonInput) { FILE_LOG_SINGLE(ERROR, "Pressure-time array absent"); TerminateFemTech(12); } - if (!jsonPressure["head"].empty()) { - unsigned int pressureTrace1Size = 0; - pressureTrace1Size = jsonPressure["head"].size(); - assert(pressureTrace1Size == timeTraceBCSize); - } else{ - FILE_LOG_SINGLE(ERROR, "Head pressure trace absent"); - TerminateFemTech(12); - } - if (!jsonPressure["shoulder"].empty()) { - unsigned int pressureTrace2Size = 0; - pressureTrace2Size = jsonPressure["shoulder"].size(); - assert(pressureTrace2Size == timeTraceBCSize); - } else{ - FILE_LOG_SINGLE(ERROR, "Shoulder pressure trace absent"); - TerminateFemTech(12); - } - if (!jsonPressure["chest"].empty()) { - unsigned int pressureTrace3Size = 0; - pressureTrace3Size = jsonPressure["chest"].size(); - assert(pressureTrace3Size == timeTraceBCSize); - } else{ - FILE_LOG_SINGLE(ERROR, "Chest pressure trace absent"); - TerminateFemTech(12); - } - double *pressureTrace1 = (double*)malloc(sizeof(double) * timeTraceBCSize); - double *pressureTrace2 = (double*)malloc(sizeof(double) * timeTraceBCSize); - double *pressureTrace3 = (double*)malloc(sizeof(double) * timeTraceBCSize); timeTraceBC = (double*)malloc(sizeof(double) * timeTraceBCSize); + jsonToArray(timeTraceBC, jsonPressure["time"]); + pressureTraceBC = (double*)malloc(sizeof(double) * timeTraceBCSize); + if (!jsonPressure["average"].empty()) { + unsigned int pressureTraceSize = 0; + pressureTraceSize = jsonPressure["average"].size(); + assert(pressureTraceSize == timeTraceBCSize); - jsonToArray(timeTraceBC, jsonPressure["time"]); - jsonToArray(pressureTrace1, jsonPressure["head"]); - jsonToArray(pressureTrace2, jsonPressure["shoulder"]); - jsonToArray(pressureTrace3, jsonPressure["chest"]); - - // Average over the three pressure sensor values to arrive at pressure to be - // applied on the fore-head - for (unsigned int i = 0; i < timeTraceBCSize; ++i) { - pressureTraceBC[i] = (pressureTrace1[i] + pressureTrace2[i] + pressureTrace3[i])/3.0; - } + jsonToArray(pressureTraceBC, jsonPressure["average"]); + } else { + if (!jsonPressure["head"].empty()) { + unsigned int pressureTrace1Size = 0; + pressureTrace1Size = jsonPressure["head"].size(); + assert(pressureTrace1Size == timeTraceBCSize); + } else{ + FILE_LOG_SINGLE(ERROR, "Head pressure trace absent"); + TerminateFemTech(12); + } + if (!jsonPressure["shoulder"].empty()) { + unsigned int pressureTrace2Size = 0; + pressureTrace2Size = jsonPressure["shoulder"].size(); + assert(pressureTrace2Size == timeTraceBCSize); + } else{ + FILE_LOG_SINGLE(ERROR, "Shoulder pressure trace absent"); + TerminateFemTech(12); + } + if (!jsonPressure["chest"].empty()) { + unsigned int pressureTrace3Size = 0; + pressureTrace3Size = jsonPressure["chest"].size(); + assert(pressureTrace3Size == timeTraceBCSize); + } else{ + FILE_LOG_SINGLE(ERROR, "Chest pressure trace absent"); + TerminateFemTech(12); + } + double *pressureTrace1 = (double*)malloc(sizeof(double) * timeTraceBCSize); + double *pressureTrace2 = (double*)malloc(sizeof(double) * timeTraceBCSize); + double *pressureTrace3 = (double*)malloc(sizeof(double) * timeTraceBCSize); + + jsonToArray(pressureTrace1, jsonPressure["head"]); + jsonToArray(pressureTrace2, jsonPressure["shoulder"]); + jsonToArray(pressureTrace3, jsonPressure["chest"]); + + // Average over the three pressure sensor values to arrive at pressure to be + // applied on the fore-head + for (unsigned int i = 0; i < timeTraceBCSize; ++i) { + pressureTraceBC[i] = (pressureTrace1[i] + pressureTrace2[i] + pressureTrace3[i])/3.0; + } - free(pressureTrace1); - free(pressureTrace2); - free(pressureTrace3); + free(pressureTrace1); + free(pressureTrace2); + free(pressureTrace3); + } // Convert time from milli-seconds to seconds for (int i = 0; i < timeTraceBCSize; ++i) { From bba65c5f09d9d09d0a93afc8e154085c25671154 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Tue, 19 Apr 2022 22:02:17 +0530 Subject: [PATCH 098/106] Updated materials properties --- examples/ex21/materials.dat | 21 ++++++++++----------- examples/ex5/materials.dat | 16 ++++++++-------- examples/ex5/test_ex5.sh | 4 ++-- 3 files changed, 20 insertions(+), 21 deletions(-) diff --git a/examples/ex21/materials.dat b/examples/ex21/materials.dat index 1d898b50..d9f207ab 100644 --- a/examples/ex21/materials.dat +++ b/examples/ex21/materials.dat @@ -1,14 +1,13 @@ 0 2 2000 2.664e9 2.093e9 -1 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -2 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -3 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -4 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -5 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -6 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -7 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -8 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 -9 8 1040 262067150.6 2 10.1 53.8 -12.9 -120.4 6 0.7688587 1e-6 0.187343 1e-5 0.0148914 1e-4 0.0192147 1e-3 2.401835e-4 1e-2 0.0072055 0.1 - +1 1 1040 50000 21966666.66667 +2 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +3 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +4 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +5 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +6 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +7 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +8 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +9 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 # form of file # partID (starting at 0), material ID (goes with consitutive model), ... @@ -23,4 +22,4 @@ # t2 .... gn tn gi's ti's are pairs of n term Prony series # mat ID 6 - Viscoelastic : density(Kg/m^3) K(Pa) G_0(Pa) G_\infity(Pa) \beta(1/s) # mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N -# mat ID 8 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M +# mat ID 8 - Ogden Viscoelastic : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M diff --git a/examples/ex5/materials.dat b/examples/ex5/materials.dat index 5f633c79..1f11f8a9 100644 --- a/examples/ex5/materials.dat +++ b/examples/ex5/materials.dat @@ -1,13 +1,13 @@ 0 0 2000 1 1 1040 50000 21966666.66667 -2 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -3 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -4 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -5 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -6 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -7 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -8 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 -9 8 1040 523785.5767 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +2 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +3 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +4 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +5 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +6 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +7 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +8 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 +9 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 # form of file # partID (starting at 0), material ID (goes with consitutive model), ... diff --git a/examples/ex5/test_ex5.sh b/examples/ex5/test_ex5.sh index eac0104e..7fb615ce 100755 --- a/examples/ex5/test_ex5.sh +++ b/examples/ex5/test_ex5.sh @@ -12,8 +12,8 @@ testInputFiles=( pt x ) # Values of element id expected in the order, max-shear, min-principal, # max-principal value_p1=( 9821 7323 10243 ) -value_pt=( 7875 8153 10491 ) -value_x=( 8153 8153 10002 ) +value_pt=( 7740 14281 7748 ) +value_x=( 7932 7932 7863 ) value_s=( 7740 7740 7740 ) # Run all tests and check output From 08a679ea8d0de6e8fcb67a47cb703727dd387923 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 12 Jun 2022 20:55:37 +0530 Subject: [PATCH 099/106] Added mps95 time trace to json output --- examples/ex5/ex5.cpp | 73 +++++++++++++++++++++++++++++++++++++++++--- 1 file changed, 69 insertions(+), 4 deletions(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 885abb5a..1b60150e 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -157,7 +157,11 @@ state_type yInt, ydotInt; double cm[3]; std::string outputFileName; -// bool exceedFlag = false; +/* Variable to store MPS-95 time trace */ +double *mps95TimeTrace, *linearAccMPS95TimeTrace; +double *angularAccMPS95TimeTrace; +double MPS95; +int mpsArraySize; int main(int argc, char **argv) { // Initialize FemTech including logfile and MPI @@ -228,6 +232,11 @@ int main(int argc, char **argv) { WritePVD(outputFileName.c_str(), plot_counter); } stepTime[plot_counter] = Time; + if (computeInjuryFlag && (world_rank == 0)) { + mps95TimeTrace[plot_counter] = 0.0; + linearAccMPS95TimeTrace[plot_counter] = sqrt(linAccXv[0]*linAccXv[0]+linAccYv[0]*linAccYv[0]+linAccZv[0]*linAccZv[0]); + angularAccMPS95TimeTrace[plot_counter] = sqrt(angAccXv[0]*angAccXv[0]+angAccYv[0]*angAccYv[0]+angAccZv[0]*angAccZv[0]); + } int time_step_counter = 0; /** Central Difference Method - Beta and Gamma */ @@ -279,7 +288,6 @@ int main(int argc, char **argv) { /* Step-4: Time loop starts....*/ - // while ((Time < tMax) && !exceedFlag) { while (Time < tMax) { t_n = Time; double t_np1 = Time + dt; @@ -337,6 +345,19 @@ int main(int argc, char **argv) { if (plot_counter < MAXPLOTSTEPS) { stepTime[plot_counter] = Time; + if (computeInjuryFlag && (world_rank == 0)) { + mps95TimeTrace[plot_counter] = MPS95; + double angAccX_Write = interpolateLinear(angAccXSize, angAccXt, angAccXv, Time); + double angAccY_Write = interpolateLinear(angAccYSize, angAccYt, angAccYv, Time); + double angAccZ_Write = interpolateLinear(angAccZSize, angAccZt, angAccZv, Time); + double angularAccMagnitude = angAccX_Write*angAccX_Write + angAccY_Write*angAccY_Write + angAccZ_Write*angAccZ_Write; + angularAccMPS95TimeTrace[plot_counter] = sqrt(angularAccMagnitude); + double linearAccX_Write = interpolateLinear(linAccXSize, linAccXt, linAccXv, Time); + double linearAccY_Write = interpolateLinear(linAccYSize, linAccYt, linAccYv, Time); + double linearAccZ_Write = interpolateLinear(linAccZSize, linAccZt, linAccZv, Time); + double linearAccMagnitude = linearAccX_Write*linearAccX_Write + linearAccY_Write*linearAccY_Write + linearAccZ_Write*linearAccZ_Write; + linearAccMPS95TimeTrace[plot_counter] = sqrt(linearAccMagnitude); + } if (writeField) { FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); if (computeInjuryFlag) { @@ -387,6 +408,7 @@ int main(int argc, char **argv) { CustomPlot(); } FILE_LOG_MASTER(INFO, "End of Iterative Loop"); + mpsArraySize = plot_counter + 1; WriteOutputFile(); if (computeInjuryFlag) { @@ -428,6 +450,10 @@ int main(int argc, char **argv) { free1DArray(elementMPS); free1DArray(initialVolume); + free1DArray(mps95TimeTrace); + free1DArray(linearAccMPS95TimeTrace); + free1DArray(angularAccMPS95TimeTrace); + if (rankForCustomPlot) { MPI_File_close(&outputFilePtr); } @@ -1631,6 +1657,39 @@ void WriteOutputFile() { writer->write(output, &oFile); } FILE_LOG_MASTER(INFO, "Json output files written"); + + // Write basic info that does not require any computation + if (world_rank == 0) { + Json::Value mps95TimeTraceJson; + Json::Value vecTime(Json::arrayValue); + Json::Value vecMPS95(Json::arrayValue); + Json::Value vecLinearAcc(Json::arrayValue); + Json::Value vecAngularAcc(Json::arrayValue); + + vecTime.resize(mpsArraySize); + vecMPS95.resize(mpsArraySize); + vecLinearAcc.resize(mpsArraySize); + vecAngularAcc.resize(mpsArraySize); + for (int i = 0; i < mpsArraySize; ++i) { + vecTime[i] = stepTime[i]; + vecMPS95[i] = mps95TimeTrace[i]; + vecLinearAcc[i] = linearAccMPS95TimeTrace[i]; + vecAngularAcc[i] = angularAccMPS95TimeTrace[i]; + } + + mps95TimeTraceJson["time"] = vecTime; + mps95TimeTraceJson["MPS95"] = vecMPS95; + mps95TimeTraceJson["linear-acceleration"] = vecLinearAcc; + mps95TimeTraceJson["angular-acceleration"] = vecAngularAcc; + + Json::StreamWriterBuilder builder; + builder["commentStyle"] = "None"; + builder["indentation"] = " "; + std::unique_ptr writer(builder.newStreamWriter()); + std::ofstream oFile(uid + "_mpsTimeTrace.json"); + writer->write(mps95TimeTraceJson, &oFile); + } + FILE_LOG_MASTER(INFO, "MPS time trace written as Json file"); } void InitInjuryCriteria(void) { @@ -1706,6 +1765,12 @@ void InitInjuryCriteria(void) { volumePart[i] = 0.0; } computePartVolume(volumePart, initialVolume); + // Allocate variables for MPS95 time trace + if (world_rank == 0) { + mps95TimeTrace = (double*)malloc(MAXPLOTSTEPS*sizeof(double)); + linearAccMPS95TimeTrace = (double*)malloc(MAXPLOTSTEPS*sizeof(double)); + angularAccMPS95TimeTrace = (double*)malloc(MAXPLOTSTEPS*sizeof(double)); + } } void CalculateInjuryCriteria(void) { @@ -1742,7 +1807,7 @@ void CalculateInjuryCriteria(void) { // Compute maxPSxSR // Compute principal strain rate using first order backaward distance PSR = (currentStrainMaxElem - PS_Old[j]) / dt; - // TODO(Anil) : Sould absolute value be used for PSR ? + // TODO(Anil) : Should absolute value be used for PSR ? PSxSR = currentStrainMaxElem * PSR; if (maxValue[2] < PSxSR) { maxValue[2] = PSxSR; @@ -1772,7 +1837,7 @@ void CalculateInjuryCriteria(void) { // } // Compute 95 percentile MPS and corresponding element list - double MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); + MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); if (MPS95 > percentileValue[0]) { memset(percentileElements[0], 0, nElementsInjury * sizeof(int)); percentileValue[0] = MPS95; From a5443aab1781ef25f98844eb6a5a5b7ab3a32bd5 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Mon, 13 Jun 2022 01:09:53 +0530 Subject: [PATCH 100/106] Updated ex21 materials data --- examples/ex21/materials.dat | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ex21/materials.dat b/examples/ex21/materials.dat index d9f207ab..27469b6d 100644 --- a/examples/ex21/materials.dat +++ b/examples/ex21/materials.dat @@ -1,4 +1,4 @@ -0 2 2000 2.664e9 2.093e9 +0 1 2000 7.14286e9 1.386555e10 1 1 1040 50000 21966666.66667 2 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 3 8 1040 524134650.57667 2 10.1 53.8 -12.9 -120.4 6 0.768587 0.000001 0.187343 0.00001 0.0148914 0.0001 0.0192147 0.001 2.401835e-4 0.01 0.0072055 0.1 From fc0acad1017081d46500c933455f457c99696747 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 21 Aug 2022 16:50:06 +0530 Subject: [PATCH 101/106] Updated output.json format and added Mpr entries --- examples/ex5/ex5.cpp | 125 +++++++++++++----- examples/ex5/updateOutputJson.py | 71 ++++++++-- include/FemTech.h | 1 + src/elements/CMakeLists.txt | 1 + .../CalculateElementPressure.cpp | 18 +++ src/io/parallel_log.cpp | 1 + 6 files changed, 173 insertions(+), 44 deletions(-) create mode 100644 src/elements/ElementCalculations/CalculateElementPressure.cpp diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 1b60150e..45134bf9 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -31,6 +31,7 @@ void WriteOutputFile(); void CalculateInjuryCriteria(void); void TransformMesh(const Json::Value &jsonInput); void WriteMPS(void); +void WriteMPr(void); /* Global Variables/Parameters */ double Time = 0.0, dt, tInitial; @@ -73,12 +74,13 @@ double *outputElemStress; * 2. Maximum principal strain times strain rate * 3. Minimum principal strain * */ -const int maxQuantities = 4; +const int maxQuantities = 5; const std::string maxOutput[maxQuantities] = { "principal-max-strain", "maximum-shear-strain", "maximum-PSxSR", - "principal-min-strain"}; + "principal-min-strain", "principal-max-pressure"}; const MPI_Op outputOperator[maxQuantities] = {MPI_MAXLOC, MPI_MAXLOC, - MPI_MAXLOC, MPI_MINLOC}; + MPI_MAXLOC, MPI_MINLOC, + MPI_MAXLOC}; double maxValue[maxQuantities], maxTime[maxQuantities]; int maxElem[maxQuantities]; @@ -87,11 +89,11 @@ int maxElem[maxQuantities]; /* 0. MPS - 95 Percentile * 1. MPSxSR - 95 Percentile */ -const int percentileQuantities = 2; +const int percentileQuantities = 3; int *percentileElements[percentileQuantities]; double percentileTime[percentileQuantities]; double percentileValue[percentileQuantities]; -const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95"}; +const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95", "MPr-95"}; /* Threshold variables */ /* 0. MPS > 3 * 1. MPS > 5 @@ -109,9 +111,12 @@ const std::string thresholdTag[threshQuantities] = { /* Variables for maximum Principal Strain times Strain Rate */ double *PS_Old = NULL; double *PSxSRArray = NULL; +double *pressureElem = NULL; /* Store MPS, volume of each element */ double *elementMPS = NULL; double *initialVolume = NULL; +/* Store MPr */ +double *elementMPr = NULL; int nElementsInjury = 0, *elementIDInjury = NULL; // part ID to exclude from injury computation @@ -413,6 +418,7 @@ int main(int argc, char **argv) { WriteOutputFile(); if (computeInjuryFlag) { WriteMPS(); + WriteMPr(); } // Free local boundary condition related arrays @@ -439,6 +445,7 @@ int main(int argc, char **argv) { free1DArray(outputElemList); // Free variables used for injury criteria free1DArray(PS_Old); + free1DArray(pressureElem); free1DArray(elementIDInjury); free1DArray(PSxSRArray); for (int i = 0; i < threshQuantities; ++i) { @@ -448,6 +455,7 @@ int main(int argc, char **argv) { free1DArray(percentileElements[i]); } free1DArray(elementMPS); + free1DArray(elementMPr); free1DArray(initialVolume); free1DArray(mps95TimeTrace); @@ -1557,16 +1565,13 @@ void WriteOutputFile() { } } // Create list to write to output.json - const int outputJsonCount = csdmCount + 1; + const int outputJsonCount = csdmCount; std::string jsonOutputTag[outputJsonCount]; int *outputJsonArray[outputJsonCount]; for (int i = 0; i < csdmCount; ++i) { jsonOutputTag[i] = thresholdTag[i]; outputJsonArray[i] = thresholdElements[i]; } - // Write MPS-95 elements - jsonOutputTag[csdmCount] = percentileTag[0]; - outputJsonArray[csdmCount] = percentileElements[0]; int *countPerProc, *cumCountPerProc, *fullElemList; if (world_rank == 0) { @@ -1619,12 +1624,12 @@ void WriteOutputFile() { elementList[j] = fullElemList[j]; } free(fullElemList); - // output[jsonOutputTag[i]]["global-element-id"] = elementList; Json::Value outputThreshold; outputThreshold["global-element-id"] = elementList; Json::StreamWriterBuilder builder; builder["commentStyle"] = "None"; builder["indentation"] = " "; + builder.settings_["precision"] = 4; std::unique_ptr writer(builder.newStreamWriter()); std::ofstream oFile(jsonOutputTag[i] + ".json"); @@ -1644,6 +1649,7 @@ void WriteOutputFile() { free(countPerProc); free(cumCountPerProc); } + // Write MPS95 value instead of MPS value for better post processing output[maxOutput[0]]["value"] = percentileValue[0]; } @@ -1652,6 +1658,7 @@ void WriteOutputFile() { Json::StreamWriterBuilder builder; builder["commentStyle"] = "None"; builder["indentation"] = " "; + builder.settings_["precision"] = 4; std::unique_ptr writer(builder.newStreamWriter()); std::ofstream oFile(uid + "_output.json"); writer->write(output, &oFile); @@ -1685,6 +1692,7 @@ void WriteOutputFile() { Json::StreamWriterBuilder builder; builder["commentStyle"] = "None"; builder["indentation"] = " "; + builder.settings_["precision"] = 4; std::unique_ptr writer(builder.newStreamWriter()); std::ofstream oFile(uid + "_mpsTimeTrace.json"); writer->write(mps95TimeTraceJson, &oFile); @@ -1735,13 +1743,18 @@ void InitInjuryCriteria(void) { } // Write percentile values for (int i = 0; i < percentileQuantities; ++i) { - percentileElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); + // Using element list only for MPS-95, to write to paraview + if (i == 0) { + percentileElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); + } percentileTime[i] = 0.0; percentileValue[i] = 0.0; } PS_Old = (double *)calloc(nElementsInjury, sizeof(double)); PSxSRArray = (double *)calloc(nElementsInjury, sizeof(double)); + pressureElem = (double *)calloc(nElementsInjury, sizeof(double)); elementMPS = (double *)calloc(nelements, sizeof(double)); + elementMPr = (double *)calloc(nelements, sizeof(double)); initialVolume = (double *)calloc(nelements, sizeof(double)); // Array to output to Paraview @@ -1749,12 +1762,7 @@ void InitInjuryCriteria(void) { for (int i = 0; i < threshQuantities; ++i) { outputDataArray[i] = thresholdElements[i]; } - // for (int i = 0; i < percentileQuantities; ++i) { - // outputDataArray[threshQuantities + i] = - // percentileElements[i]; - // } - outputDataArray[threshQuantities] = - percentileElements[0]; // Write MPS-95 to paraview + outputDataArray[threshQuantities] = percentileElements[0]; // Write MPS-95 to paraview // Percentile Values // Write MPS-95-Value outputDoubleArray[0] = PS_Old; @@ -1831,36 +1839,53 @@ void CalculateInjuryCriteria(void) { if (currentStrainMaxElem > elementMPS[i]) { elementMPS[i] = currentStrainMaxElem; } + // compute and store element pressure quantities + double elementPressure = CalculateElementPressure(i); + pressureElem[j] = elementPressure; + if (elementPressure > elementMPr[i]) { + elementMPr[i] = elementPressure; + } + if (maxValue[4] < elementPressure) { + maxValue[4] = elementPressure; + maxElem[4] = i; + maxTime[4] = Time; + } } // For loop over elements included for injury - // if (maxValue[0] > 0.4) { - // exceedFlag = true; - // } // Compute 95 percentile MPS and corresponding element list MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); if (MPS95 > percentileValue[0]) { - memset(percentileElements[0], 0, nElementsInjury * sizeof(int)); percentileValue[0] = MPS95; percentileTime[0] = Time; - for (int j = 0; j < nElementsInjury; j++) { - if (PS_Old[j] >= MPS95) { - percentileElements[0][j] = 1; - } + } + // Store instantaneous elements with MPS > MPS95 + // Global MPS95 element list is computed from MPS text file + // Used to plot in paraview + memset(percentileElements[0], 0, nElementsInjury * sizeof(int)); + for (int j = 0; j < nElementsInjury; j++) { + if (PS_Old[j] >= MPS95) { + percentileElements[0][j] = 1; } } + // Compute 95 percentile maximum pressure + double MPr95 = compute95thPercentileValue(pressureElem, nElementsInjury); + if (MPr95 > percentileValue[2]) { + percentileValue[2] = MPr95; + percentileTime[2] = Time; + } // Compute 95 percentile MPSxSR and corresponding element list double MPSxSR95 = compute95thPercentileValue(PSxSRArray, nElementsInjury); if (MPSxSR95 > percentileValue[1]) { - memset(percentileElements[1], 0, nElementsInjury * sizeof(int)); + // memset(percentileElements[1], 0, nElementsInjury * sizeof(int)); percentileValue[1] = MPSxSR95; percentileTime[1] = Time; - int count = 0; - for (int j = 0; j < nElementsInjury; j++) { - if (PSxSRArray[j] >= MPSxSR95) { - percentileElements[1][j] = 1; - } - } + // TODO(Anil) MPSxSR95 may only be representitive + // for (int j = 0; j < nElementsInjury; j++) { + // if (PSxSRArray[j] >= MPSxSR95) { + // percentileElements[1][j] = 1; + // } + // } } } @@ -2050,3 +2075,39 @@ void WriteMPS(void) { FILE_LOG_MASTER(INFO, "MPS values written to file"); return; } + +void WriteMPr(void) { + MPI_File mpsFilePtr; + MPI_Info infoin; + MPI_Info_create(&infoin); + MPI_Info_set(infoin, "access_style", "write_once,random"); + char fileName[] = "MPrFile.dat"; + + int err; + err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); + if (err != MPI_SUCCESS) { + if (world_rank == 0) { + MPI_File_delete(fileName, MPI_INFO_NULL); + } + err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); + if (err != MPI_SUCCESS) { + FILE_LOG_SINGLE(ERROR, "Unable to open MPr file"); + return; + } + } + + const unsigned int lineSize = 50; + char s2[lineSize+1], s3[lineSize+1]; + unsigned int offset = 0; + + for (unsigned int i = 0; i < nelements; ++i) { + offset = (global_eid[i]-1)*lineSize; + sprintf(s2, "%06d, %14.5e, %14.5e\n", global_eid[i], elementMPr[i], initialVolume[i]); + sprintf(s3, "%50s", s2); + MPI_File_write_at(mpsFilePtr, offset, s3, lineSize, MPI_CHAR, MPI_STATUS_IGNORE); + } + + MPI_File_close(&mpsFilePtr); + FILE_LOG_MASTER(INFO, "MPr values written to file"); + return; +} diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index 37cee5ad..98a09cd3 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -95,13 +95,16 @@ meshType = 'coarse' else: meshType = 'fine' - cellDataFile = meshType + '_cellcentres.txt' + if 'female' in meshFileParts: + meshSuffix = 'female' + else: + meshSuffix = 'male' + cellDataFile = meshType + '_cellcentresandvol_'+ meshSuffix +'.txt' # Populate region from cell centres file maxInjuryMetrics = ["principal-max-strain", "principal-min-strain", - "maximum-shear-strain", "maximum-PSxSR"]; - threshInjuryMetrics = ["CSDM-10", "CSDM-15", "CSDM-30", "CSDM-5", "CSDM-3", - "MPS-95"]; + "maximum-shear-strain", "maximum-PSxSR", "principal-max-pressure"]; + threshInjuryMetrics = ["CSDM-10", "CSDM-15", "CSDM-30", "CSDM-5", "CSDM-3"]; # Loop over metric with single element output for metric in maxInjuryMetrics: @@ -110,7 +113,8 @@ outputJson[metric]["brain-region"] = maxLine[4] # overwrite location with femtech-reference co-ordinate outputJson[metric]["location"] = \ - [float(maxLine[1]), float(maxLine[2]), float(maxLine[3])] + [float('%.3g' % float(maxLine[1])), float('%.3g' % float(maxLine[2])), \ + float('%.3g' % float(maxLine[3]))] outputJson[metric].pop("global-element-id", None) # Loop over metric with multiple element output @@ -122,19 +126,19 @@ outputJsonMetric[part] = [] for loc in maxLocation: maxLine = linecache.getline(cellDataFile, int(loc)).split() - outputJsonMetric[maxLine[4]].append([float(maxLine[1]), \ - float(maxLine[2]), float(maxLine[3])]) + outputJsonMetric[maxLine[4]].append([float('%.3g' % float(maxLine[1])), \ + float('%.3g' % float(maxLine[2])), float('%.3g' % float(maxLine[3]))]) outputJsonMetric.pop("global-element-id", None) with open(jsonOutputFileMetric, 'w') as outfile: json.dump(outputJsonMetric, outfile, indent = 2, sort_keys=False) # Add max quantities if not pressureSimulation: - outputJson["max-linear-acc-g"] = maxG + outputJson["max-linear-acc-g"] = float('%.3g' % maxG) if computeAngAcc: - outputJson["max-angular-acc-rads2"] = maxT + outputJson["max-angular-acc-rads2"] = float('%.3g' % maxT) if computeAngVel: - outputJson["max-angular-vel-rads"] = maxAV + outputJson["max-angular-vel-rads"] = float('%.3g' % maxAV) if 'output-nodes' in inputJson['simulation'] or 'output-elements' in inputJson['simulation']: # Open plot column file @@ -195,13 +199,56 @@ for part in partList: outputJson["region-wise-mps"][part] = 0.0 + # Create and write MPS-95.json + outputJsonMetric = {} + outputJsonMetric["time"] = outputJson["MPS-95"]["time"] + outputJsonMetric["value"] = outputJson["MPS-95"]["value"] + for part in partList: + outputJsonMetric[part] = [] + with open('MPSfile.dat') as mpsFile, open(cellDataFile) as regionFile: for mpsLine, cellDataLine in zip(mpsFile, regionFile): - part = cellDataLine.split()[4] + mpsLineSplit = cellDataLine.split(); + part = mpsLineSplit[4] if part != 'skull' and part != 'csf': mpsValue = float(mpsLine.split(',')[1]) if mpsValue > outputJson["region-wise-mps"][part]: - outputJson["region-wise-mps"][part] = mpsValue + outputJson["region-wise-mps"][part] = float('%.3g' % mpsValue) + if mpsValue >= outputJsonMetric["value"]: + outputJsonMetric[part].append([float('%.3g' % float(mpsLineSplit[1])), \ + float('%.3g' % float(mpsLineSplit[2])), float('%.3g' % float(mpsLineSplit[3]))]) + jsonOutputFileMPS95 = 'MPS-95.json' + with open(jsonOutputFileMPS95, 'w') as outfile: + json.dump(outputJsonMetric, outfile, indent = 2, sort_keys=False) + +# Include region wise MPr values to output.json +if (not 'compute-injury-criteria' in inputJson['simulation']) or inputJson['simulation']['compute-injury-criteria']: + outputJson["region-wise-mpr"] = {} + # Set all region MPr value to zero + for part in partList: + outputJson["region-wise-mpr"][part] = 0.0 + + # Create and write MPr-95.json + outputJsonMetric = {} + outputJsonMetric["time"] = outputJson["MPr-95"]["time"] + outputJsonMetric["value"] = outputJson["MPr-95"]["value"] + for part in partList: + outputJsonMetric[part] = [] + + with open('MPrFile.dat') as mprFile, open(cellDataFile) as regionFile: + for mprLine, cellDataLine in zip(mprFile, regionFile): + mprLineSplit = cellDataLine.split(); + part = mprLineSplit[4] + if part != 'skull' and part != 'csf': + mprValue = float(mprLine.split(',')[1]) + if mprValue > outputJson["region-wise-mpr"][part]: + outputJson["region-wise-mpr"][part] = float('%.3g' % mprValue) + if mprValue >= outputJsonMetric["value"]: + outputJsonMetric[part].append([float('%.3g' % float(mprLineSplit[1])), \ + float('%.3g' % float(mprLineSplit[2])), float('%.3g' % float(mprLineSplit[3]))]) + jsonOutputFileMPr95 = 'MPr-95.json' + with open(jsonOutputFileMPr95, 'w') as outfile: + json.dump(outputJsonMetric, outfile, indent = 2, sort_keys=False) # print(outputJson) # jstr = json.dumps(outputJson, indent = 2, sort_keys=False) diff --git a/include/FemTech.h b/include/FemTech.h index eb9ed343..1c5e395f 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -63,6 +63,7 @@ void CalculateMaximumPrincipalStrain(int elm, double* currentStrainMax, \ double *currentStrainMin, double *currentShearMax); void CalculateStrain(); void CalculateElementStress(unsigned int e, double* stress); +double CalculateElementPressure(unsigned int e); void CalculateDeformationGradient(int e, int gp); void SumOfDeformationGradient(int e, int gp); void StrainDisplacementMatrix(int e, int gp, int nI, double *B); diff --git a/src/elements/CMakeLists.txt b/src/elements/CMakeLists.txt index 5a399964..5196d3ed 100644 --- a/src/elements/CMakeLists.txt +++ b/src/elements/CMakeLists.txt @@ -10,6 +10,7 @@ Set(elements_src CharacteristicLength/CalculateCharacteristicLength_C3D8.cpp ElementCalculations/CalculateStrain.cpp ElementCalculations/CalculateElementStress.cpp + ElementCalculations/CalculateElementPressure.cpp CenterOfMass/CalculateCentroidAndVolume.cpp CenterOfMass/CalculateCentroid_C3D4.cpp CenterOfMass/CalculateCentroidAndVolume_C3D8.cpp diff --git a/src/elements/ElementCalculations/CalculateElementPressure.cpp b/src/elements/ElementCalculations/CalculateElementPressure.cpp new file mode 100644 index 00000000..c1cbd0de --- /dev/null +++ b/src/elements/ElementCalculations/CalculateElementPressure.cpp @@ -0,0 +1,18 @@ +#include "FemTech.h" + +double CalculateElementPressure(unsigned int e) { + double pressure = 0.0; + const int countGP = GaussPoints[e]; + double gwSum = 0.0; + for(int gp = 0; gp < countGP; ++gp) { + double * sigmaLocal = &(sigma_n[sigmaptr[e]+6*gp]); + const unsigned int wIndex = gpPtr[e]+gp; + const double gW = gaussWeights[wIndex]; + gwSum = gwSum + gW; + for (int i = 0; i < ndim; ++i) { + pressure = pressure + gW*sigmaLocal[i]; + } + } + pressure = -pressure/3.0/gwSum; + return pressure; +} diff --git a/src/io/parallel_log.cpp b/src/io/parallel_log.cpp index 1556af1f..29419c02 100644 --- a/src/io/parallel_log.cpp +++ b/src/io/parallel_log.cpp @@ -6,6 +6,7 @@ #include #include #include +#include #include "mpi.h" From 4d29200bb918e9704c752b231a359b5e04462964 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Sun, 21 Aug 2022 21:04:31 +0530 Subject: [PATCH 102/106] Updated pressure simulation with element pressure computation --- examples/ex21/ex21.cpp | 188 ++++++++++++++++++++++++------- examples/ex5/ex5.cpp | 8 -- examples/ex5/updateOutputJson.py | 7 +- 3 files changed, 156 insertions(+), 47 deletions(-) diff --git a/examples/ex21/ex21.cpp b/examples/ex21/ex21.cpp index 1ed3cd75..76529948 100644 --- a/examples/ex21/ex21.cpp +++ b/examples/ex21/ex21.cpp @@ -23,6 +23,7 @@ void ApplyPressureBoundaryConditions(); void CalculateInjuryCriteria(void); void WriteOutputFile(); void WriteMPS(void); +void WriteMPr(void); /* Global Variables/Parameters */ double Time = 0.0, dt, tInitial; @@ -30,7 +31,7 @@ int nSteps; bool ImplicitStatic = false; bool ImplicitDynamic = false; bool ExplicitDynamic = true; -bool reducedIntegration = false; +bool reducedIntegration = true; double dynamicDamping = 0.000; double ExplicitTimeStepReduction = 0.8; @@ -100,12 +101,13 @@ double *outputElemStress; * 2. Maximum principal strain times strain rate * 3. Minimum principal strain * */ -const int maxQuantities = 4; +const int maxQuantities = 5; const std::string maxOutput[maxQuantities] = { "principal-max-strain", "maximum-shear-strain", "maximum-PSxSR", - "principal-min-strain"}; + "principal-min-strain", "principal-max-pressure"}; const MPI_Op outputOperator[maxQuantities] = {MPI_MAXLOC, MPI_MAXLOC, - MPI_MAXLOC, MPI_MINLOC}; + MPI_MAXLOC, MPI_MINLOC, + MPI_MAXLOC}; double maxValue[maxQuantities], maxTime[maxQuantities]; int maxElem[maxQuantities]; @@ -114,11 +116,11 @@ int maxElem[maxQuantities]; /* 0. MPS - 95 Percentile * 1. MPSxSR - 95 Percentile */ -const int percentileQuantities = 2; +const int percentileQuantities = 3; int *percentileElements[percentileQuantities]; double percentileTime[percentileQuantities]; double percentileValue[percentileQuantities]; -const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95"}; +const std::string percentileTag[percentileQuantities] = {"MPS-95", "MPSxSR-95", "MPr-95"}; /* Threshold variables */ /* 0. MPS > 3 * 1. MPS > 5 @@ -136,9 +138,12 @@ const std::string thresholdTag[threshQuantities] = { /* Variables for maximum Principal Strain times Strain Rate */ double *PS_Old = NULL; double *PSxSRArray = NULL; +double *pressureElem = NULL; /* Store MPS, volume of each element */ double *elementMPS = NULL; double *initialVolume = NULL; +/* Store MPr */ +double *elementMPr = NULL; int nElementsInjury = 0, *elementIDInjury = NULL; // part ID to exclude from injury computation @@ -164,9 +169,16 @@ int timeTraceBCSize; double *timeTraceBC, *pressureTraceBC; std::string outputFileName; +/* Variable to store MPS-95 time trace */ +double *mps95TimeTrace, *pressureMPS95TimeTrace; +double MPS95; +int mpsArraySize; + int main(int argc, char **argv) { // Initialize FemTech including logfile and MPI Json::Value inputJson = InitFemTech(argc, argv); + + // Processing various solver and output flags from the json file Json::Value simulationJson = inputJson["simulation"]; std::string meshFile = simulationJson["mesh"].asString(); @@ -223,6 +235,10 @@ int main(int argc, char **argv) { WritePVD(outputFileName.c_str(), plot_counter); } stepTime[plot_counter] = Time; + if (computeInjuryFlag && (world_rank == 0)) { + mps95TimeTrace[plot_counter] = 0.0; + pressureMPS95TimeTrace[plot_counter] = pressureTraceBC[0]; + } int time_step_counter = 0; /** Central Difference Method - Beta and Gamma */ @@ -331,6 +347,11 @@ int main(int argc, char **argv) { if (plot_counter < MAXPLOTSTEPS) { stepTime[plot_counter] = Time; + if (computeInjuryFlag && (world_rank == 0)) { + mps95TimeTrace[plot_counter] = MPS95; + pressureMPS95TimeTrace[plot_counter] = interpolateLinear(\ + timeTraceBCSize, timeTraceBC, pressureTraceBC, Time); + } if (writeField) { FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); if (computeInjuryFlag) { @@ -380,10 +401,12 @@ int main(int argc, char **argv) { CustomPlot(); } FILE_LOG_MASTER(INFO, "End of Iterative Loop"); + mpsArraySize = plot_counter + 1; WriteOutputFile(); if (computeInjuryFlag) { WriteMPS(); + WriteMPr(); } // Free local boundary condition related arrays @@ -394,6 +417,7 @@ int main(int argc, char **argv) { free1DArray(outputElemList); // Free variables used for injury criteria free1DArray(PS_Old); + free1DArray(pressureElem); free1DArray(elementIDInjury); free1DArray(PSxSRArray); for (int i = 0; i < threshQuantities; ++i) { @@ -403,8 +427,11 @@ int main(int argc, char **argv) { free1DArray(percentileElements[i]); } free1DArray(elementMPS); + free1DArray(elementMPr); free1DArray(initialVolume); free1DArray(pressureNodalArea); + free1DArray(mps95TimeTrace); + free1DArray(pressureMPS95TimeTrace); if (rankForCustomPlot) { MPI_File_close(&outputFilePtr); @@ -898,12 +925,6 @@ void WriteOutputFile() { if (world_rank == 0) { output["output-file"] = outputFileName + ".pvd"; - // vec.resize(ndim); - // // Write center of mass co-ordinates in JSON - // for (int i = 0; i < ndim; ++i) { - // vec[i] = cm[i]; - // } - // output["center-of-mass"] = vec; output["code-branch"] = GIT_BRANCH; output["code-version"] = GIT_COMMIT_HASH; } @@ -1027,16 +1048,13 @@ void WriteOutputFile() { } } // Create list to write to output.json - const int outputJsonCount = csdmCount + 1; + const int outputJsonCount = csdmCount; std::string jsonOutputTag[outputJsonCount]; int *outputJsonArray[outputJsonCount]; for (int i = 0; i < csdmCount; ++i) { jsonOutputTag[i] = thresholdTag[i]; outputJsonArray[i] = thresholdElements[i]; } - // Write MPS-95 elements - jsonOutputTag[csdmCount] = percentileTag[0]; - outputJsonArray[csdmCount] = percentileElements[0]; int *countPerProc, *cumCountPerProc, *fullElemList; if (world_rank == 0) { @@ -1089,12 +1107,12 @@ void WriteOutputFile() { elementList[j] = fullElemList[j]; } free(fullElemList); - // output[jsonOutputTag[i]]["global-element-id"] = elementList; Json::Value outputThreshold; outputThreshold["global-element-id"] = elementList; Json::StreamWriterBuilder builder; builder["commentStyle"] = "None"; builder["indentation"] = " "; + builder.settings_["precision"] = 4; std::unique_ptr writer(builder.newStreamWriter()); std::ofstream oFile(jsonOutputTag[i] + ".json"); @@ -1114,6 +1132,8 @@ void WriteOutputFile() { free(countPerProc); free(cumCountPerProc); } + // Write MPS95 value instead of MPS value for better post processing + output[maxOutput[0]]["value"] = percentileValue[0]; } // Write output to file @@ -1121,11 +1141,42 @@ void WriteOutputFile() { Json::StreamWriterBuilder builder; builder["commentStyle"] = "None"; builder["indentation"] = " "; + builder.settings_["precision"] = 4; std::unique_ptr writer(builder.newStreamWriter()); std::ofstream oFile(uid + "_output.json"); writer->write(output, &oFile); } FILE_LOG_MASTER(INFO, "Json output files written"); + + // Write basic info that does not require any computation + if (world_rank == 0) { + Json::Value mps95TimeTraceJson; + Json::Value vecTime(Json::arrayValue); + Json::Value vecMPS95(Json::arrayValue); + Json::Value vecPressure(Json::arrayValue); + + vecTime.resize(mpsArraySize); + vecMPS95.resize(mpsArraySize); + vecPressure.resize(mpsArraySize); + for (int i = 0; i < mpsArraySize; ++i) { + vecTime[i] = stepTime[i]; + vecMPS95[i] = mps95TimeTrace[i]; + vecPressure[i] = pressureMPS95TimeTrace[i]; + } + + mps95TimeTraceJson["time"] = vecTime; + mps95TimeTraceJson["MPS95"] = vecMPS95; + mps95TimeTraceJson["pressure"] = vecPressure; + + Json::StreamWriterBuilder builder; + builder["commentStyle"] = "None"; + builder["indentation"] = " "; + builder.settings_["precision"] = 4; + std::unique_ptr writer(builder.newStreamWriter()); + std::ofstream oFile(uid + "_mpsTimeTrace.json"); + writer->write(mps95TimeTraceJson, &oFile); + } + FILE_LOG_MASTER(INFO, "MPS time trace written as Json file"); } void InitInjuryCriteria(void) { @@ -1171,13 +1222,18 @@ void InitInjuryCriteria(void) { } // Write percentile values for (int i = 0; i < percentileQuantities; ++i) { - percentileElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); + // Using element list only for MPS-95, to write to paraview + if (i == 0) { + percentileElements[i] = (int *)calloc(nElementsInjury, sizeof(int)); + } percentileTime[i] = 0.0; percentileValue[i] = 0.0; } PS_Old = (double *)calloc(nElementsInjury, sizeof(double)); PSxSRArray = (double *)calloc(nElementsInjury, sizeof(double)); + pressureElem = (double *)calloc(nElementsInjury, sizeof(double)); elementMPS = (double *)calloc(nelements, sizeof(double)); + elementMPr = (double *)calloc(nelements, sizeof(double)); initialVolume = (double *)calloc(nelements, sizeof(double)); // Array to output to Paraview @@ -1185,12 +1241,7 @@ void InitInjuryCriteria(void) { for (int i = 0; i < threshQuantities; ++i) { outputDataArray[i] = thresholdElements[i]; } - // for (int i = 0; i < percentileQuantities; ++i) { - // outputDataArray[threshQuantities + i] = - // percentileElements[i]; - // } - outputDataArray[threshQuantities] = - percentileElements[0]; // Write MPS-95 to paraview + outputDataArray[threshQuantities] = percentileElements[0]; // Write MPS-95 to paraview // Percentile Values // Write MPS-95-Value outputDoubleArray[0] = PS_Old; @@ -1201,6 +1252,11 @@ void InitInjuryCriteria(void) { volumePart[i] = 0.0; } computePartVolume(volumePart, initialVolume); + // Allocate variables for MPS95 time trace + if (world_rank == 0) { + mps95TimeTrace = (double*)malloc(MAXPLOTSTEPS*sizeof(double)); + pressureMPS95TimeTrace = (double*)malloc(MAXPLOTSTEPS*sizeof(double)); + } } void CalculateInjuryCriteria(void) { @@ -1237,7 +1293,7 @@ void CalculateInjuryCriteria(void) { // Compute maxPSxSR // Compute principal strain rate using first order backaward distance PSR = (currentStrainMaxElem - PS_Old[j]) / dt; - // TODO(Anil) : Sould absolute value be used for PSR ? + // TODO(Anil) : Should absolute value be used for PSR ? PSxSR = currentStrainMaxElem * PSR; if (maxValue[2] < PSxSR) { maxValue[2] = PSxSR; @@ -1261,33 +1317,53 @@ void CalculateInjuryCriteria(void) { if (currentStrainMaxElem > elementMPS[i]) { elementMPS[i] = currentStrainMaxElem; } + // compute and store element pressure quantities + double elementPressure = CalculateElementPressure(i); + pressureElem[j] = elementPressure; + if (elementPressure > elementMPr[i]) { + elementMPr[i] = elementPressure; + } + if (maxValue[4] < elementPressure) { + maxValue[4] = elementPressure; + maxElem[4] = i; + maxTime[4] = Time; + } } // For loop over elements included for injury // Compute 95 percentile MPS and corresponding element list - double MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); + MPS95 = compute95thPercentileValue(PS_Old, nElementsInjury); if (MPS95 > percentileValue[0]) { - memset(percentileElements[0], 0, nElementsInjury * sizeof(int)); percentileValue[0] = MPS95; percentileTime[0] = Time; - for (int j = 0; j < nElementsInjury; j++) { - if (PS_Old[j] >= MPS95) { - percentileElements[0][j] = 1; - } + } + // Store instantaneous elements with MPS > MPS95 + // Global MPS95 element list is computed from MPS text file + // Used to plot in paraview + memset(percentileElements[0], 0, nElementsInjury * sizeof(int)); + for (int j = 0; j < nElementsInjury; j++) { + if (PS_Old[j] >= MPS95) { + percentileElements[0][j] = 1; } } + // Compute 95 percentile maximum pressure + double MPr95 = compute95thPercentileValue(pressureElem, nElementsInjury); + if (MPr95 > percentileValue[2]) { + percentileValue[2] = MPr95; + percentileTime[2] = Time; + } // Compute 95 percentile MPSxSR and corresponding element list double MPSxSR95 = compute95thPercentileValue(PSxSRArray, nElementsInjury); if (MPSxSR95 > percentileValue[1]) { - memset(percentileElements[1], 0, nElementsInjury * sizeof(int)); + // memset(percentileElements[1], 0, nElementsInjury * sizeof(int)); percentileValue[1] = MPSxSR95; percentileTime[1] = Time; - int count = 0; - for (int j = 0; j < nElementsInjury; j++) { - if (PSxSRArray[j] >= MPSxSR95) { - percentileElements[1][j] = 1; - } - } + // TODO(Anil) MPSxSR95 may only be representitive + // for (int j = 0; j < nElementsInjury; j++) { + // if (PSxSRArray[j] >= MPSxSR95) { + // percentileElements[1][j] = 1; + // } + // } } } @@ -1326,3 +1402,39 @@ void WriteMPS(void) { FILE_LOG_MASTER(INFO, "MPS values written to file"); return; } + +void WriteMPr(void) { + MPI_File mpsFilePtr; + MPI_Info infoin; + MPI_Info_create(&infoin); + MPI_Info_set(infoin, "access_style", "write_once,random"); + char fileName[] = "MPrFile.dat"; + + int err; + err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); + if (err != MPI_SUCCESS) { + if (world_rank == 0) { + MPI_File_delete(fileName, MPI_INFO_NULL); + } + err = MPI_File_open(MPI_COMM_WORLD, fileName, MPI_MODE_EXCL|MPI_MODE_WRONLY|MPI_MODE_CREATE, infoin, &mpsFilePtr); + if (err != MPI_SUCCESS) { + FILE_LOG_SINGLE(ERROR, "Unable to open MPr file"); + return; + } + } + + const unsigned int lineSize = 50; + char s2[lineSize+1], s3[lineSize+1]; + unsigned int offset = 0; + + for (unsigned int i = 0; i < nelements; ++i) { + offset = (global_eid[i]-1)*lineSize; + sprintf(s2, "%06d, %14.5e, %14.5e\n", global_eid[i], elementMPr[i], initialVolume[i]); + sprintf(s3, "%50s", s2); + MPI_File_write_at(mpsFilePtr, offset, s3, lineSize, MPI_CHAR, MPI_STATUS_IGNORE); + } + + MPI_File_close(&mpsFilePtr); + FILE_LOG_MASTER(INFO, "MPr values written to file"); + return; +} diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 45134bf9..5ca33818 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -193,13 +193,6 @@ int main(int argc, char **argv) { if (!simulationJson["dynamic-damping"].empty()) { dynamicDamping = simulationJson["dynamic-damping"].asDouble(); } - // if (reducedIntegration) { - // if (tMax > 0.005) { - // srand((unsigned int)time(0)); - // double tRand = 0.007*((double)rand()/(double)RAND_MAX); - // tMax = 0.005 + tRand; - // } - // } FILE_LOG_MASTER(INFO, "Dynamic damping set to : %.3f", dynamicDamping); FILE_LOG_MASTER(INFO, "Reading Mesh File : %s", meshFile.c_str()); // Read Input Mesh file and equally partition elements among processes @@ -403,7 +396,6 @@ int main(int argc, char **argv) { dt = ExplicitTimeStepReduction * stableDt; time_step_counter = time_step_counter + 1; - // MPI_Allreduce(MPI_IN_PLACE, &exceedFlag, 1, MPI_C_BOOL, MPI_LOR, MPI_COMM_WORLD); // Barrier not a must MPI_Barrier(MPI_COMM_WORLD); } // end explcit while loop diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index 98a09cd3..f806c099 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -14,7 +14,6 @@ inputJson = json.loads(open(jsonInputFile).read()) uid = inputJson["event_id"] jsonOutputFile = uid + '_output.json' -linearAcc = inputJson['simulation']['linear-acceleration'] computeAngAcc = False if 'angular-acceleration' in inputJson['simulation']: @@ -31,6 +30,7 @@ pressureSimulation = True if not pressureSimulation: + linearAcc = inputJson['simulation']['linear-acceleration'] # Check if time array is present, common for all accelerations if 'time-all' in inputJson['simulation']: maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 @@ -86,6 +86,9 @@ maxT = np.sqrt(np.array(angularAcc[0])**2+np.array(angularAcc[1])**2+np.array(angularAcc[2])**2) else: maxT = np.fabs(angularAcc) +else: # pressure simulation + pressureJson = inputJson['simulation']['pressure'] + maxP = np.max(np.abs(np.array(pressureJson['head'])+np.array(pressureJson['shoulder'])+np.array(pressureJson['chest'])))/3.0 outputJson = json.loads(open(jsonOutputFile).read()) @@ -139,6 +142,8 @@ outputJson["max-angular-acc-rads2"] = float('%.3g' % maxT) if computeAngVel: outputJson["max-angular-vel-rads"] = float('%.3g' % maxAV) +else: + outputJson["max-pressure"] = float('%.3g' % maxP) if 'output-nodes' in inputJson['simulation'] or 'output-elements' in inputJson['simulation']: # Open plot column file From c4e3f4fb400ac3f38f0b02a967101e87ee64f46d Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 24 Aug 2022 21:39:23 +0530 Subject: [PATCH 103/106] Added date to output.json along with updated cellcenter files for plot --- examples/ex5/updateOutputJson.py | 25 ++++++++++++------------- 1 file changed, 12 insertions(+), 13 deletions(-) diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index f806c099..e8a89f30 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -13,7 +13,13 @@ jsonInputFile = sys.argv[1] inputJson = json.loads(open(jsonInputFile).read()) uid = inputJson["event_id"] +if 'impact_date' in inputJson: + impactDate = inputJson['impact_date'] +else: + impactDate = '0000-00-00' + jsonOutputFile = uid + '_output.json' +linearAcc = inputJson['simulation']['linear-acceleration'] computeAngAcc = False if 'angular-acceleration' in inputJson['simulation']: @@ -30,7 +36,6 @@ pressureSimulation = True if not pressureSimulation: - linearAcc = inputJson['simulation']['linear-acceleration'] # Check if time array is present, common for all accelerations if 'time-all' in inputJson['simulation']: maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 @@ -86,23 +91,16 @@ maxT = np.sqrt(np.array(angularAcc[0])**2+np.array(angularAcc[1])**2+np.array(angularAcc[2])**2) else: maxT = np.fabs(angularAcc) -else: # pressure simulation - pressureJson = inputJson['simulation']['pressure'] - maxP = np.max(np.abs(np.array(pressureJson['head'])+np.array(pressureJson['shoulder'])+np.array(pressureJson['chest'])))/3.0 outputJson = json.loads(open(jsonOutputFile).read()) if (not 'compute-injury-criteria' in inputJson['simulation']) or inputJson['simulation']['compute-injury-criteria']: meshFileParts = outputJson["output-file"].split('_') - if 'coarse' in meshFileParts: - meshType = 'coarse' - else: + if 'fine' in meshFileParts: meshType = 'fine' - if 'female' in meshFileParts: - meshSuffix = 'female' else: - meshSuffix = 'male' - cellDataFile = meshType + '_cellcentresandvol_'+ meshSuffix +'.txt' + meshType = 'coarse' + cellDataFile = meshType + '_cellcentres.txt' # Populate region from cell centres file maxInjuryMetrics = ["principal-max-strain", "principal-min-strain", @@ -142,8 +140,6 @@ outputJson["max-angular-acc-rads2"] = float('%.3g' % maxT) if computeAngVel: outputJson["max-angular-vel-rads"] = float('%.3g' % maxAV) -else: - outputJson["max-pressure"] = float('%.3g' % maxP) if 'output-nodes' in inputJson['simulation'] or 'output-elements' in inputJson['simulation']: # Open plot column file @@ -255,6 +251,9 @@ with open(jsonOutputFileMPr95, 'w') as outfile: json.dump(outputJsonMetric, outfile, indent = 2, sort_keys=False) +# Add date to output.json +outputJson['impact_date'] = impactDate + # print(outputJson) # jstr = json.dumps(outputJson, indent = 2, sort_keys=False) # print(jstr) From 429b5468a92a807ab6be34b29f68576734936b5a Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 24 Aug 2022 23:46:09 +0530 Subject: [PATCH 104/106] Updated ouputUpdate script for pressure --- examples/ex5/updateOutputJson.py | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/examples/ex5/updateOutputJson.py b/examples/ex5/updateOutputJson.py index e8a89f30..2c3fc275 100644 --- a/examples/ex5/updateOutputJson.py +++ b/examples/ex5/updateOutputJson.py @@ -19,7 +19,6 @@ impactDate = '0000-00-00' jsonOutputFile = uid + '_output.json' -linearAcc = inputJson['simulation']['linear-acceleration'] computeAngAcc = False if 'angular-acceleration' in inputJson['simulation']: @@ -36,6 +35,7 @@ pressureSimulation = True if not pressureSimulation: + linearAcc = inputJson['simulation']['linear-acceleration'] # Check if time array is present, common for all accelerations if 'time-all' in inputJson['simulation']: maxG = np.max(np.sqrt(np.array(linearAcc['xv'])**2+np.array(linearAcc['yv'])**2+np.array(linearAcc['zv'])**2))/9.81 @@ -91,6 +91,9 @@ maxT = np.sqrt(np.array(angularAcc[0])**2+np.array(angularAcc[1])**2+np.array(angularAcc[2])**2) else: maxT = np.fabs(angularAcc) +else: # pressure simulation + pressureJson = inputJson['simulation']['pressure'] + maxP = np.max(np.abs(np.array(pressureJson['head'])+np.array(pressureJson['shoulder'])+np.array(pressureJson['chest'])))/3.0 outputJson = json.loads(open(jsonOutputFile).read()) @@ -140,6 +143,8 @@ outputJson["max-angular-acc-rads2"] = float('%.3g' % maxT) if computeAngVel: outputJson["max-angular-vel-rads"] = float('%.3g' % maxAV) +else: + outputJson["max-pressure"] = float('%.3g' % maxP) if 'output-nodes' in inputJson['simulation'] or 'output-elements' in inputJson['simulation']: # Open plot column file @@ -188,11 +193,6 @@ outputJson['plot']['element-stress-'+str(n)]['principal'] = xVal.tolist(); outputJson['plot']['element-stress-'+str(n)]['shear'] = yVal.tolist(); -if 'impact-time' in inputJson: - outputJson['impact-time'] = inputJson['impact-time'] -if 'impact-date' in inputJson: - outputJson['impact-date'] = inputJson['impact-date'] - # Include region wise MPS values to output.json if (not 'compute-injury-criteria' in inputJson['simulation']) or inputJson['simulation']['compute-injury-criteria']: outputJson["region-wise-mps"] = {} @@ -252,7 +252,7 @@ json.dump(outputJsonMetric, outfile, indent = 2, sort_keys=False) # Add date to output.json -outputJson['impact_date'] = impactDate +outputJson['impact-date'] = impactDate # print(outputJson) # jstr = json.dumps(outputJson, indent = 2, sort_keys=False) From 551d65a1f1a77e29322e6cb040de4c14c24ce852 Mon Sep 17 00:00:00 2001 From: Anil Das P V Date: Wed, 15 Feb 2023 10:54:07 +0530 Subject: [PATCH 105/106] Reverted using MPS-95 for MPS --- examples/ex5/ex5.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index 5ca33818..d311c2a2 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -1642,7 +1642,7 @@ void WriteOutputFile() { free(cumCountPerProc); } // Write MPS95 value instead of MPS value for better post processing - output[maxOutput[0]]["value"] = percentileValue[0]; + // output[maxOutput[0]]["value"] = percentileValue[0]; } // Write output to file From 12b741325f3c57b10122b094470286254110820b Mon Sep 17 00:00:00 2001 From: RitikaMenghani Date: Mon, 10 Apr 2023 14:14:00 -0400 Subject: [PATCH 106/106] hourglassexample --- examples/CMakeLists.txt | 5 + examples/ex5/ex5.cpp | 1 + examples/ex9/ex9.cpp | 1 + examples/hourglass/CMakeLists.txt | 27 ++ examples/hourglass/README.md | 2 + examples/hourglass/hourglass.cpp | 384 ++++++++++++++++++ examples/hourglass/hourglasstest.k | 269 ++++++++++++ examples/hourglass/materials.dat | 16 + examples/hourglass/template.vcxproj.user.in | 8 + include/FemTech.h | 2 +- .../ElementCalculations/ComputeHG.cpp | 8 +- src/fem/AllocateArrays.cpp | 2 +- src/fem/SolidMechanics/CheckEnergy.cpp | 18 +- src/fem/SolidMechanics/GetForce_3D.cpp | 56 ++- src/io/output/FreeArrays.cpp | 2 + 15 files changed, 788 insertions(+), 13 deletions(-) create mode 100644 examples/hourglass/CMakeLists.txt create mode 100644 examples/hourglass/README.md create mode 100644 examples/hourglass/hourglass.cpp create mode 100644 examples/hourglass/hourglasstest.k create mode 100644 examples/hourglass/materials.dat create mode 100644 examples/hourglass/template.vcxproj.user.in diff --git a/examples/CMakeLists.txt b/examples/CMakeLists.txt index df4a7a35..c362937d 100644 --- a/examples/CMakeLists.txt +++ b/examples/CMakeLists.txt @@ -20,6 +20,7 @@ option (EXAMPLE19 "3D Cuboid Shear Test" OFF) option (EXAMPLE20 "3D Cuboid Traction BC Test" OFF) option (EXAMPLE21 "3D Brain Sim Pressure" OFF) option (Benchmarking-Parallel "Parallel-Benchmarks" OFF) +option (hourglass "Hourglassing Test Case" OFF) if (EXAMPLE1) add_subdirectory(ex1) @@ -110,3 +111,7 @@ endif (EXAMPLE21) if (Benchmarking-Parallel) add_subdirectory(Benchmarking-Parallel) endif (Benchmarking-Parallel) + +if (hourglass) + add_subdirectory(hourglass) +endif (hourglass) diff --git a/examples/ex5/ex5.cpp b/examples/ex5/ex5.cpp index d311c2a2..f234287b 100644 --- a/examples/ex5/ex5.cpp +++ b/examples/ex5/ex5.cpp @@ -308,6 +308,7 @@ int main(int argc, char **argv) { // Store internal external force from previous step to compute energy memcpy(fi_prev, fi, nDOF * sizeof(double)); memcpy(fe_prev, fe, nDOF * sizeof(double)); + memcpy(f_hgprev, f_hg, nDOF * sizeof(double)); // update displacements for all nodes, including where velocity bc is set for (int i = 0; i < nDOF; i++) { diff --git a/examples/ex9/ex9.cpp b/examples/ex9/ex9.cpp index 17416cb7..e0a6094a 100644 --- a/examples/ex9/ex9.cpp +++ b/examples/ex9/ex9.cpp @@ -154,6 +154,7 @@ int main(int argc, char **argv) { // Store internal external force from previous step to compute energy memcpy(fi_prev, fi, nDOF * sizeof(double)); memcpy(fe_prev, fe, nDOF * sizeof(double)); + memcpy(f_hgprev, f_hg, nDOF * sizeof(double)); // update displacements for all nodes, including where velocity bc is set for (int i = 0; i < nDOF; i++) { diff --git a/examples/hourglass/CMakeLists.txt b/examples/hourglass/CMakeLists.txt new file mode 100644 index 00000000..5a3ca68b --- /dev/null +++ b/examples/hourglass/CMakeLists.txt @@ -0,0 +1,27 @@ +SET(hourglass_src hourglass.cpp) + +ADD_EXECUTABLE(hourglass ${hourglass_src}) + +if(ENABLE_MPI) + LINK_DIRECTORIES(${CMAKE_BINARY_DIR}/lib ${CMAKE_BINARY_DIR}/third-party/parmetis-4.0.3/libparmetis) + TARGET_LINK_LIBRARIES(hourglass FemTech parmetis ${lapackblas_libraries}) +else() + LINK_DIRECTORIES(${CMAKE_BINARY_DIR}/lib) + TARGET_LINK_LIBRARIES(hourglass FemTech) +endif(ENABLE_MPI) + +file(INSTALL hourglasstest.k DESTINATION .) +file(INSTALL materials.dat DESTINATION .) +file(INSTALL README.md DESTINATION .) +file(INSTALL ls-dyna DESTINATION .) +file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results) +file(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/results/vtu) + +# Define debugger options when working with windows & visual studio generator +# We set them here but could be passed as options if required +# We use a template for the same, replacing the options we need +if(WIN32 AND MSVC) + set( DEBUG_COMMAND "C:\\Program Files\\Microsoft MPI\\Bin\\mpiexec.exe" ) + set( DEBUG_COMMAND_ARGUMENTS "-n 1 \"$(TargetPath)\" hourglasstest.k" ) + configure_file( template.vcxproj.user.in ${CMAKE_BINARY_DIR}/examples/hourglass/hourglass.vcxproj.user @ONLY ) +endif() diff --git a/examples/hourglass/README.md b/examples/hourglass/README.md new file mode 100644 index 00000000..434f558b --- /dev/null +++ b/examples/hourglass/README.md @@ -0,0 +1,2 @@ +# To run: +prompt> mpirun -n 1 hourglass hourglasstest.k diff --git a/examples/hourglass/hourglass.cpp b/examples/hourglass/hourglass.cpp new file mode 100644 index 00000000..f5e33a95 --- /dev/null +++ b/examples/hourglass/hourglass.cpp @@ -0,0 +1,384 @@ +#include "FemTech.h" + +#include +// #include + +/*Delare Functions*/ +void ApplyVelocityBoundaryConditions(double); +void ApplyVelocityBoundaryConditionsVE(double); +void InitVelocityBoundaryConditions(); +void CustomPlot(); +void InitCustomPlot(); + +// Global parameters to output +bool writeNodeOP = false; +bool writeElementOP = false; +int plotNodeID = 0; +int plotElemID = 0; + +double Time, dt, tInitial = 0.0; +int nSteps; + +double dynamicDamping = 0.00; +// 0.2 : Very bad stress, displacement match +// 0.002 : Works for Ogden material model +double ExplicitTimeStepReduction = 0.7; +double FailureTimeStep = 1e-11; +double MaxTimeStep = 1e-1; + +int nPlotSteps = 50; +int nFieldSkip = 1; // 1 in nFieldSkip plot steps will be used to output VTU +bool ImplicitStatic = false; +bool ImplicitDynamic = false; +bool ExplicitDynamic = true; +bool reducedIntegration = true; + +// Parameters of simple tension test +double tMax = 10; // max simulation time in seconds +double dMax = 10; // max displacment in meters +// double dMax = -0.002; // max displacment in meters + +int main(int argc, char **argv) { + // feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); + InitFemTechWoInput(argc, argv); + + ReadInputFile(argv[1]); + ReadMaterials(); + + PartitionMesh(); + + AllocateArrays(); + + std::string meshFile(argv[1]); + size_t lastindex = meshFile.find_last_of("."); + std::string outputFileName = meshFile.substr(0, lastindex); + /* Write inital, undeformed configuration*/ + Time = 0.0; + int plot_counter = 0; + WriteVTU(outputFileName.c_str(), plot_counter); + stepTime[plot_counter] = Time; + + // Dynamic Explcit solution Belytschko Box 6.1 + dt = 0.0; + + // Initial operations + int time_step_counter = 0; + ShapeFunctions(); + // Check if the problem is viscoelastic or not + bool viscoElastic = false; + for (int i = 0; i < nelements; ++i) { + if (nProny[i]) { + viscoElastic = true; + break; + } + } + /* Step-1: Calculate the mass matrix similar to that of belytschko. */ + AssembleLumpedMass(); + InitVelocityBoundaryConditions(); + InitCustomPlot(); + + // CustomPlot(); + + /* Obtain dt, according to Belytschko dt is calculated at end of getForce */ + dt = ExplicitTimeStepReduction * StableTimeStep(); + + // Used if initial velocity BC is to be set. + if (viscoElastic) { + ApplyVelocityBoundaryConditionsVE(0.5*dt); + } else { + ApplyVelocityBoundaryConditions(0.5*dt); + } + + // For cases with no residual stress and external forces, + // GetFoce is not required, we can directly set accelerations at zero time + // step to be zero + /* Step-2: getforce step from Belytschko */ + // GetForce(); // Calculating the force term. + + /* Step-3: Calculate accelerations */ + // CalculateAccelerations(); + for (int i = 0; i < nDOF; i++) { + accelerations[i] = 0.0; + } + + nSteps = (int)(tMax / dt); + double dtPlot = tMax/double(nPlotSteps); + double nextPlotTime = dtPlot; + int nsteps_plot = (int)(nSteps / nPlotSteps); + + double t_n = 0.0; + + FILE_LOG_MASTER(INFO, "---------------------------------"); + FILE_LOG_MASTER(INFO, "Tmax : %15.6e, Initial dt : %15.6e", tMax, dt); + FILE_LOG_MASTER(INFO, "nSteps = %d, nsteps_plot = %d", nSteps, nsteps_plot); + FILE_LOG_MASTER(INFO, "-------------- Loop -------------"); + + bool writeFlag = false; + int vtuSkipCount = 0; + + /* Step-4: Time loop starts....*/ + while (Time < tMax) { + t_n = Time; + double t_np1 = Time + dt; + if (t_np1 > nextPlotTime) { + // Adjust dt to plot at specific time steps + t_np1 = nextPlotTime; + dt = nextPlotTime - Time; + // Update next plot time step + nextPlotTime = nextPlotTime + dtPlot; + writeFlag = true; + } + Time = t_np1; /*Update the time by adding full time step */ + FILE_LOG_MASTER(INFO, "Time : %15.6e, dt=%15.6e, tmax : %15.6e", Time, dt, + tMax); + double dtby2 = 0.5*dt; + double t_nphalf = t_n + dtby2; // equ 6.2.1 + + /* Step 6 Enforce velocity boundary Conditions */ + if (viscoElastic) { + ApplyVelocityBoundaryConditionsVE(t_nphalf); + } else { + ApplyVelocityBoundaryConditions(t_nphalf); + } + + /* Step 5 from Belytschko Box 6.1 - Update velocity */ + for (int i = 0; i < nDOF; i++) { + if (!boundary[i]) { + velocities_half[i] = velocities[i] + dtby2 * accelerations[i]; + } + } + + // Store old displacements and accelerations for energy computation + memcpy(displacements_prev, displacements, nDOF * sizeof(double)); + memcpy(accelerations_prev, accelerations, nDOF * sizeof(double)); + // Store internal external force from previous step to compute energy + memcpy(fi_prev, fi, nDOF * sizeof(double)); + memcpy(fe_prev, fe, nDOF * sizeof(double)); + memcpy(f_hgprev, f_hg, nDOF * sizeof(double)); + + // update displacements for all nodes, including where velocity bc is set + for (int i = 0; i < nDOF; i++) { + displacements[i] = displacements[i] + dt * velocities_half[i]; + } + + /* Step - 8 from Belytschko Box 6.1 - Calculate net nodal force*/ + GetForce(); // Calculating the force term. + + /* Step - 9 from Belytschko Box 6.1 - Calculate Accelerations */ + CalculateAccelerations(); // Calculating the new accelerations from total + // nodal forces. + + /** Step- 10 - Second Partial Update of Nodal Velocities */ + for (int i = 0; i < nDOF; i++) { + velocities[i] = velocities_half[i] + dtby2 * accelerations[i]; + } + + /** Step - 11 Checking* Energy Balance */ + CheckEnergy(Time, writeFlag); + + // int writeFlag = time_step_counter % nsteps_plot; + if (writeFlag) { + CustomPlot(); + vtuSkipCount = vtuSkipCount + 1; + if (!(vtuSkipCount%nFieldSkip)) { + plot_counter = plot_counter + 1; + CalculateStrain(); + FILE_LOG(INFO, "------ Plot %d: WriteVTU", plot_counter); + WriteVTU(outputFileName.c_str(), plot_counter); + if (plot_counter < MAXPLOTSTEPS) { + stepTime[plot_counter] = Time; + WritePVD(outputFileName.c_str(), plot_counter); + } + vtuSkipCount = 0; + } + + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Displacement Solution"); + writeFlag = false; + } + // time_step_counter = time_step_counter + 1; + dt = ExplicitTimeStepReduction * StableTimeStep(); + // Barrier not a must + MPI_Barrier(MPI_COMM_WORLD); + } // end explcit while loop + FILE_LOG_MASTER(INFO, "End of Iterative Loop"); + + // Write out the last time step + // CustomPlot(); + FILE_LOGMatrixRM(DEBUGLOG, displacements, nNodes, ndim, + "Final Displacement Solution"); + + FinalizeFemTech(); + return 0; +} + +void ApplyVelocityBoundaryConditions(double) { + double tol = 1e-5; + int index; + + for (int i = 0; i < nNodes; i++) { + // if y value = 0, constrain nodes + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index-1] = 0; + velocities_half[index] = 0; + velocities_half[index+1] = 0; + } + // if y coordinate = 100, apply disp + index = ndim * i + 1; + if (fabs(coordinates[index] - 100) < tol) { + velocities_half[index] = dMax/tMax; + } + } + FILE_LOG_MASTER(INFO, "Time = %10.5E, Applied Velocity = %10.5E", Time, + dMax / tMax); + return; +} + +void ApplyVelocityBoundaryConditionsVE(double t) { + double tol = 1e-5; + int index; + + double nVel = 0.0; + if (t < 0.025) { + nVel = dMax/0.025; + } else { + if (t < 0.475) { + nVel = 0.0; + } else { + if (t < 0.5) { + nVel = -dMax/0.025; + } + } + } + + for (int i = 0; i < nNodes; i++) { + // if y value = 0, constrain nodes + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + velocities_half[index-1] = 0; + velocities_half[index] = 0; + velocities_half[index+1] = 0; + } + // if y coordinate = 100, apply disp + index = ndim * i + 1; + if (fabs(coordinates[index] - 100) < tol) { + velocities_half[index] = nVel; + } + } + FILE_LOG_MASTER(INFO, "Time = %10.5E, Applied Velocity = %10.5E", Time, + nVel); + return; +} + +void InitVelocityBoundaryConditions() { + double tol = 1e-5; + int index; + for (int i = 0; i < nNodes; i++) { + // if y = 0, constrain nodes + index = ndim * i + 1; + if (fabs(coordinates[index] - 0.0) < tol) { + boundary[index+1] = 1; + boundary[index] = 1; + boundary[index-1] = 1; + } + // if y coordinate = 100, apply disp + index = ndim * i + 1; + if (fabs(coordinates[index] - 100) < tol) { + boundary[index] = 1; + } + } + return; +} + +void InitCustomPlot() { + // Find process with largest nodeID and elementID + // Assumes larges node and elemnt is to be written + int maxNodeID = globalNodeID[0]; + int localID = 0; + for (int i = 1; i < nNodes; ++i) { + if (globalNodeID[i] > maxNodeID) { + maxNodeID = globalNodeID[i]; + localID = i; + } + } + // Find maximum among processors + int globalMax; + MPI_Allreduce(&maxNodeID, &globalMax, 1, MPI_INT, MPI_MAX, MPI_COMM_WORLD); + if (globalMax == maxNodeID) { + writeNodeOP = true; + plotNodeID = localID; + } + // Similarly for element ID + int maxElemID = global_eid[0]; + localID = 0; + for (int i = 1; i < nelements; ++i) { + if (global_eid[i] > maxElemID) { + maxElemID = global_eid[i]; + localID = i; + } + } + // Find maximum among processors + MPI_Allreduce(&maxElemID, &globalMax, 1, MPI_INT, MPI_MAX, MPI_COMM_WORLD); + if (globalMax == maxElemID) { + writeElementOP = true; + plotElemID = localID; + } + const int x = 0; + const int y = 1; + const int z = 2; + + // Write the file header and first entry + // Write nodal displacement + if (writeNodeOP) { + FILE *datFileD; + datFileD = fopen("displacement.dat", "w"); + fprintf(datFileD, "# Results for Node %d\n", plotNodeID+1); + fprintf(datFileD, "# Time DispX DispY DispZ\n"); + fprintf(datFileD, "%13.5e %13.5e %13.5e %13.5e\n", 0.0, + displacements[ndim * plotNodeID + x], displacements[ndim * plotNodeID + y], + displacements[ndim * plotNodeID + z]); + fclose(datFileD); + } + // Write element stress, assumes no residual stress, hence all zeros + if (writeElementOP) { + FILE *datFileS; + datFileS = fopen("stress.dat", "w"); + fprintf(datFileS, "# Results for Element %d\n", plotElemID+1); + fprintf(datFileS, "# Time SigmaXX SigmaYY SigmaZZ " + "SigmaXY Sigma XZ SigmaYZ\n"); + fprintf(datFileS, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", + 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0); + fclose(datFileS); + } +} + +void CustomPlot() { + // Create 2 files, writing out displacement and stress + // Write nodal displacement + if (writeNodeOP) { + const int x = 0; + const int y = 1; + const int z = 2; + + FILE *datFileD; + datFileD = fopen("displacement.dat", "a"); + fprintf(datFileD, "%13.5e %13.5e %13.5e %13.5e\n", Time, + displacements[ndim * plotNodeID + x], displacements[ndim * plotNodeID + y], + displacements[ndim * plotNodeID + z]); + fclose(datFileD); + } + // Write element stress, assumes no residual stress, hence all zeros + if (writeElementOP) { + FILE *datFileS; + datFileS = fopen("stress.dat", "a"); + double stressElem[6]; + CalculateElementStress(plotElemID, stressElem); + // Print all six stress components of 1st element stress + fprintf(datFileS, "%13.5e %13.5e %13.5e %13.5e %13.5e %13.5e %13.5e\n", + Time, stressElem[0], stressElem[1], stressElem[2], stressElem[5], + stressElem[4], stressElem[3]); + fclose(datFileS); + } + return; +} diff --git a/examples/hourglass/hourglasstest.k b/examples/hourglass/hourglasstest.k new file mode 100644 index 00000000..c5f99d3e --- /dev/null +++ b/examples/hourglass/hourglasstest.k @@ -0,0 +1,269 @@ +$# LS-DYNA Keyword file created by LS-PrePost(R) V4.8.21 - 08Oct2021 +$# Created on Apr-4-2023 (14:28:09) +*KEYWORD +*PART +$# title +boxsolid +$# pid secid mid eosid hgid grav adpopt tmid + 1 1 1 0 0 0 0 0 +*ELEMENT_SOLID +$# eid pid n1 n2 n3 n4 n5 n6 n7 n8 + 1 1 1 2 11 10 95 96 105 104 + 2 1 2 3 12 11 96 97 106 105 + 3 1 3 4 13 12 97 98 107 106 + 4 1 4 5 14 13 98 99 108 107 + 5 1 5 6 15 14 99 100 109 108 + 6 1 6 7 16 15 100 101 110 109 + 7 1 7 8 17 16 101 102 111 110 + 8 1 8 9 18 17 102 103 112 111 + 9 1 10 11 20 19 104 105 114 113 + 10 1 11 12 21 20 105 106 115 114 + 11 1 12 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80.0 10.0 0 0 + 168 75.0 80.0 10.0 0 0 + 169 87.5 80.0 10.0 0 0 + 170 100.0 80.0 10.0 0 0 + 171 0.0 90.0 10.0 0 0 + 172 12.5 90.0 10.0 0 0 + 173 25.0 90.0 10.0 0 0 + 174 37.5 90.0 10.0 0 0 + 175 50.0 90.0 10.0 0 0 + 176 62.5 90.0 10.0 0 0 + 177 75.0 90.0 10.0 0 0 + 178 87.5 90.0 10.0 0 0 + 179 100.0 90.0 10.0 0 0 + 180 0.0 100.0 10.0 0 0 + 181 12.5 100.0 10.0 0 0 + 182 25.0 100.0 10.0 0 0 + 183 37.5 100.0 10.0 0 0 + 184 50.0 100.0 10.0 0 0 + 185 62.5 100.0 10.0 0 0 + 186 75.0 100.0 10.0 0 0 + 187 87.5 100.0 10.0 0 0 + 188 100.0 100.0 10.0 0 0 +*END diff --git a/examples/hourglass/materials.dat b/examples/hourglass/materials.dat new file mode 100644 index 00000000..171e00f8 --- /dev/null +++ b/examples/hourglass/materials.dat @@ -0,0 +1,16 @@ +0 7 0.027 2926.42 2 10.1 53.8 -12.9 -120.4 + +# form of file +# partID (starting at 0), material ID (goes with consitutive model), ... +# n properties (reads MAXMATPARAMS defined in GlobalVariables.h) + +# mat ID 0 - Specified rigid-body motion : density +# mat ID 1 - CompressibleNeoHookean props: density mu lambda +# mat ID 2 - St. Venant props : density mu lambda +# mat ID 3 - Linear Elasticity : density mu lambda +# mat ID 4 - HGO Isotropic : density mu lambda k1 k2 +# mat ID 5 - HGO Isotropic + Viscoelasticity : density mu_0 lambda k1 k2 g1 t1 g2 t2 +# g1 t1 and g2 t2 are pairs of 2 term Prony series +# mat ID 6 - LS-Dyna Maxwell equivalent : density(Kg/m^3) K(Pa) G_\infity(Pa) G_0(Pa) \beta(1/s) +# mat ID 7 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N +# mat ID 8 - Ogden : density K N alpha_1 mu_1..alpha_N mu_N M g_1 t_1...g_M t_M diff --git a/examples/hourglass/template.vcxproj.user.in b/examples/hourglass/template.vcxproj.user.in new file mode 100644 index 00000000..4ee72aa2 --- /dev/null +++ b/examples/hourglass/template.vcxproj.user.in @@ -0,0 +1,8 @@ + + + + @DEBUG_COMMAND@ + WindowsLocalDebugger + @DEBUG_COMMAND_ARGUMENTS@ + + \ No newline at end of file diff --git a/include/FemTech.h b/include/FemTech.h index 1c5e395f..7609918d 100644 --- a/include/FemTech.h +++ b/include/FemTech.h @@ -145,6 +145,6 @@ void TerminateFemTech(int errorCode); /* Functions for updated Lagrangian formulation */ void CalculateF_XiAndInverse(int e, int gp); void ComputeH(int e, int gp, double *H); -void ComputeHG(int e, double *F); +void ComputeHG(int e, double *F, double *FHG); void InternalForceUpdateUL(int e, int gp, double *force); #endif diff --git a/src/elements/ElementCalculations/ComputeHG.cpp b/src/elements/ElementCalculations/ComputeHG.cpp index d81b8921..fc8367b8 100644 --- a/src/elements/ElementCalculations/ComputeHG.cpp +++ b/src/elements/ElementCalculations/ComputeHG.cpp @@ -2,7 +2,7 @@ #include "blas.h" -void ComputeHG(int e, double *force) { +void ComputeHG(int e, double *force, double *force_hg) { const int L[32] = {1, 1,-1,-1,-1,-1,1,1,1,-1,-1,1,-1,1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,-1,1,-1,1}; double gamma[32]; double temp[12]; @@ -80,8 +80,8 @@ void ComputeHG(int e, double *force) { force[ndim*j+0] += HGforce[ndim*j+0]; force[ndim*j+1] += HGforce[ndim*j+1]; force[ndim*j+2] += HGforce[ndim*j+2]; - //f_hg[connectivity[i+j]*ndim + 0] += HGforce[ndim*j+0]; - //f_hg[connectivity[i+j]*ndim + 1] += HGforce[ndim*j+1]; - //f_hg[connectivity[i+j]*ndim + 2] += HGforce[ndim*j+2]; + force_hg[ndim*j+0] += HGforce[ndim*j+0]; + force_hg[ndim*j+1] += HGforce[ndim*j+1]; + force_hg[ndim*j+2] += HGforce[ndim*j+2]; } } diff --git a/src/fem/AllocateArrays.cpp b/src/fem/AllocateArrays.cpp index 39ff25f2..f38264d2 100644 --- a/src/fem/AllocateArrays.cpp +++ b/src/fem/AllocateArrays.cpp @@ -141,7 +141,7 @@ void AllocateArrays() { std::string energyFileName = "energy.dat"; energyFile = fopen(energyFileName.c_str(), "w"); fprintf(energyFile, "# Energy for FEM\n"); - fprintf(energyFile, "# Time Winternal Wexternal WKE total\n"); + fprintf(energyFile, "# Time Winternal Wexternal WKE total WHG\n"); stepTime = (double*)malloc((MAXPLOTSTEPS)*sizeof(double)); if (!stepTime) { diff --git a/src/fem/SolidMechanics/CheckEnergy.cpp b/src/fem/SolidMechanics/CheckEnergy.cpp index 6d84cb51..2c9330b6 100644 --- a/src/fem/SolidMechanics/CheckEnergy.cpp +++ b/src/fem/SolidMechanics/CheckEnergy.cpp @@ -3,7 +3,7 @@ void CheckEnergy(double time, bool writeFlag) { static double Wint_n = 0.0; static double Wext_n = 0.0; - + static double Whg_n = 0.0; /* Energy Calculations are based on Belytschko et al. book Section 6.2.3 Energy Balance */ @@ -11,6 +11,7 @@ void CheckEnergy(double time, bool writeFlag) { /* Calculate Kinetic Energy */ double sum_Wint_n = 0.0; double sum_Wext_n = 0.0; + double sum_Whg_n = 0.0; double delta_d = 0.0; double WKE = 0.0; @@ -49,24 +50,29 @@ void CheckEnergy(double time, bool writeFlag) { sum_Wint_n += delta_d * (fi_prev[indexJ] + fi[indexJ]); /* equ 6.2.14 */ // } sum_Wext_n += delta_d * (fe_prev[indexJ] + fe[indexJ]); /* equ 6.2.15 */ + sum_Whg_n += delta_d * (f_hgprev[indexJ] + f_hg[indexJ]); } } } WKE *= 0.5; sum_Wint_n *= 0.5; sum_Wext_n *= 0.5; + sum_Whg_n *= 0.5; - double WKE_Total = 0.0, Wint_n_total = 0.0, Wext_n_total = 0.0; + double WKE_Total = 0.0, Wint_n_total = 0.0, Wext_n_total = 0.0, Whg_n_total = 0.0; MPI_Reduce(&WKE, &WKE_Total, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); MPI_Reduce(&sum_Wint_n, &Wint_n_total, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); MPI_Reduce(&sum_Wext_n, &Wext_n_total, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); + MPI_Reduce(&sum_Whg_n, &Whg_n_total, 1, MPI_DOUBLE, MPI_SUM, 0, + MPI_COMM_WORLD); if (world_rank == 0) { Wint_n += Wint_n_total; Wext_n += Wext_n_total; - double total = fabs(WKE_Total + Wint_n - Wext_n); + Whg_n += Whg_n_total; + double total = fabs(WKE_Total + Wint_n - Wext_n + Whg_n); // FILE_LOG_SINGLE(WARNING, "Internal Work : %15.9e", Wint_n); // FILE_LOG_SINGLE(WARNING, "External Work : %15.9e", Wext_n); // FILE_LOG_SINGLE(WARNING, "Kinetic Energy : %15.9e", WKE_Total); @@ -87,8 +93,8 @@ void CheckEnergy(double time, bool writeFlag) { // total, max, total * 100.0 / max); } if (writeFlag) { - fprintf(energyFile, "%12.6e %12.6e %12.6e %12.6e %12.6e\n", time, - Wint_n, Wext_n, WKE_Total, total); + fprintf(energyFile, "%12.6e %12.6e %12.6e %12.6e %12.6e %12.6e\n", time, + Wint_n, Wext_n, WKE_Total, total, Whg_n); } - } + } } diff --git a/src/fem/SolidMechanics/GetForce_3D.cpp b/src/fem/SolidMechanics/GetForce_3D.cpp index 2977551e..51a7df00 100644 --- a/src/fem/SolidMechanics/GetForce_3D.cpp +++ b/src/fem/SolidMechanics/GetForce_3D.cpp @@ -1,6 +1,7 @@ #include "FemTech.h" void updateInternalForceNeighbour(void); +void updateHGForceNeighbour(void); void GetForce_3D() { // TODO(Anil) special treatment for first time step @@ -11,6 +12,7 @@ void GetForce_3D() { // required or call updateExternalForce BC routine before calling get memcpy(f_net, fe, nDOF * sizeof(double)); memset(fi, 0, nDOF * sizeof(double)); + memset(f_hg, 0, nDOF * sizeof(double)); // Loop over elements and Gauss points for (int i = 0; i < nelements; i++) { @@ -19,6 +21,7 @@ void GetForce_3D() { // TODO : nShapeFunctions not always equal to nNodes // TODO : remove the following calloc to global variables double *fintLocal = (double*)calloc(nNodesL*ndim, sizeof(double)); + double *f_hgLocal = (double*)calloc(nNodesL*ndim, sizeof(double)); // force calculaton for hexes, tets and quads for(int j=0; j