commit efbc1ace3da031078df235748652c5d19278741f Author: Yi-Ting Shih Date: Fri Apr 17 14:34:43 2026 +0800 Feat: hw2 done diff --git a/.gitmodules b/.gitmodules new file mode 100644 index 0000000..9758b82 --- /dev/null +++ b/.gitmodules @@ -0,0 +1,3 @@ +[submodule "docs/template"] + path = docs/template + url = ssh://gitea@konchin.com:2222/ytshih/typst-template.git diff --git a/HW2_111550013.zip b/HW2_111550013.zip new file mode 100644 index 0000000..5645411 Binary files /dev/null and b/HW2_111550013.zip differ diff --git a/HW2_111550013/HW2_111550013_code/problem1.cpp b/HW2_111550013/HW2_111550013_code/problem1.cpp new file mode 100644 index 0000000..2a8fb3b --- /dev/null +++ b/HW2_111550013/HW2_111550013_code/problem1.cpp @@ -0,0 +1,49 @@ +// Problem 1: Gaussian elimination with partial pivoting +#include +#include +#include +using namespace std; + +const int N = 4; + +int main() { + double A[N][N+1] = { + {4, 2, -2, -1, 7}, + {0, 4, 1, 2, 10}, + {3, -2, 1, 2, 2}, + {2, 0, 3, -5, 3} + }; + + // Forward elimination with partial pivoting + for (int k = 0; k < N - 1; k++) { + // Find pivot + int maxRow = k; + for (int i = k + 1; i < N; i++) + if (fabs(A[i][k]) > fabs(A[maxRow][k])) maxRow = i; + + if (maxRow != k) { + cout << "Column " << (k+1) << ": swap row " << (k+1) << " with row " << (maxRow+1) << "\n"; + for (int j = 0; j <= N; j++) swap(A[k][j], A[maxRow][j]); + } + + // Eliminate + for (int i = k + 1; i < N; i++) { + double m = A[i][k] / A[k][k]; + for (int j = k; j <= N; j++) A[i][j] -= m * A[k][j]; + } + } + + // Back substitution + double x[N]; + for (int i = N - 1; i >= 0; i--) { + x[i] = A[i][N]; + for (int j = i + 1; j < N; j++) x[i] -= A[i][j] * x[j]; + x[i] /= A[i][i]; + } + + cout << "\nSolution:\n"; + for (int i = 0; i < N; i++) + cout << "x" << (i+1) << " = " << fixed << setprecision(6) << x[i] << "\n"; + + return 0; +} diff --git a/HW2_111550013/HW2_111550013_code/problem2.cpp b/HW2_111550013/HW2_111550013_code/problem2.cpp new file mode 100644 index 0000000..8d11f03 --- /dev/null +++ b/HW2_111550013/HW2_111550013_code/problem2.cpp @@ -0,0 +1,62 @@ +// Problem 2: Scaled partial pivoting +#include +#include +#include +#include +using namespace std; + +double roundSig(double val, int sig) { + if (val == 0) return 0; + double d = ceil(log10(fabs(val))); + double p = pow(10, sig - d); + return round(val * p) / p; +} + +void solve(vector> A, int n, int sig) { + cout << "\n" << sig << " significant digits:\n"; + + vector s(n); + for (int i = 0; i < n; i++) + for (int j = 0; j < n; j++) s[i] = max(s[i], fabs(A[i][j])); + + vector idx(n); + for (int i = 0; i < n; i++) idx[i] = i; + + for (int k = 0; k < n - 1; k++) { + int maxRow = k; + double maxRatio = fabs(A[idx[k]][k]) / s[idx[k]]; + for (int i = k + 1; i < n; i++) { + double ratio = fabs(A[idx[i]][k]) / s[idx[i]]; + if (ratio > maxRatio) { maxRatio = ratio; maxRow = i; } + } + swap(idx[k], idx[maxRow]); + + for (int i = k + 1; i < n; i++) { + double m = roundSig(A[idx[i]][k] / A[idx[k]][k], sig); + for (int j = k; j <= n; j++) + A[idx[i]][j] = roundSig(A[idx[i]][j] - m * A[idx[k]][j], sig); + } + } + + vector x(n); + for (int i = n - 1; i >= 0; i--) { + x[i] = A[idx[i]][n]; + for (int j = i + 1; j < n; j++) + x[i] = roundSig(x[i] - A[idx[i]][j] * x[j], sig); + x[i] = roundSig(x[i] / A[idx[i]][i], sig); + } + + for (int i = 0; i < n; i++) + cout << "x" << (i+1) << " = " << fixed << setprecision(6) << x[i] << "\n"; +} + +int main() { + vector> A = { + {4.13, -2.20, 0.95, 3.02}, + {6.14, 4.45, -1.45, -4.02}, + {1.03, 1.86, 0.44, 5.22} + }; + solve(A, 3, 6); + solve(A, 3, 3); + return 0; +} diff --git a/HW2_111550013/HW2_111550013_code/problem3.cpp b/HW2_111550013/HW2_111550013_code/problem3.cpp new file mode 100644 index 0000000..5022be9 --- /dev/null +++ b/HW2_111550013/HW2_111550013_code/problem3.cpp @@ -0,0 +1,32 @@ +// Problem 3: Symmetric tridiagonal system +#include +#include +#include +using namespace std; + +int main() { + int n = 6; + vector d = {4, 4, 4, 4, 4, 4}; // diagonal + vector a = {-1, -1, -1, -1, -1}; // off-diagonal + vector b = {100, 200, 200, 200, 200, 100}; + + // Forward elimination + for (int i = 1; i < n; i++) { + double m = a[i-1] / d[i-1]; + d[i] -= m * a[i-1]; + b[i] -= m * b[i-1]; + } + + // Back substitution + vector x(n); + x[n-1] = b[n-1] / d[n-1]; + for (int i = n - 2; i >= 0; i--) + x[i] = (b[i] - a[i] * x[i+1]) / d[i]; + + cout << "Solution:\n"; + for (int i = 0; i < n; i++) + cout << "x" << (i+1) << " = " << fixed << setprecision(6) << x[i] << "\n"; + + cout << "\nOperations: 7N - 6 = " << (7*n - 6) << " for N = " << n << "\n"; + return 0; +} diff --git a/HW2_111550013/HW2_111550013_code/problem4.cpp b/HW2_111550013/HW2_111550013_code/problem4.cpp new file mode 100644 index 0000000..e0daaef --- /dev/null +++ b/HW2_111550013/HW2_111550013_code/problem4.cpp @@ -0,0 +1,57 @@ +// Problem 4: Jacobi and Gauss-Seidel methods +#include +#include +#include +#include +#include +using namespace std; + +const double TOL = 1e-6; +const int MAX_ITER = 100; + +int main() { + // Rearranged system (weakly diagonally dominant): + // 7x1 - 3x2 + 4x3 = 6 + // 2x1 + 5x2 + 3x3 = -5 + // -3x1 + 2x2 + 6x3 = 2 + + double b[3] = {6, -5, 2}; + + // Jacobi + cout << "Jacobi Method:\n"; + vector x = {0, 0, 0}; + for (int iter = 1; iter <= MAX_ITER; iter++) { + vector x_old = x; + x[0] = (b[0] + 3*x_old[1] - 4*x_old[2]) / 7; + x[1] = (b[1] - 2*x_old[0] - 3*x_old[2]) / 5; + x[2] = (b[2] + 3*x_old[0] - 2*x_old[1]) / 6; + + double maxDiff = max({fabs(x[0]-x_old[0]), fabs(x[1]-x_old[1]), fabs(x[2]-x_old[2])}); + if (maxDiff < TOL) { + cout << "Converged in " << iter << " iterations\n"; + break; + } + } + for (int i = 0; i < 3; i++) + cout << "x" << (i+1) << " = " << fixed << setprecision(6) << x[i] << "\n"; + + // Gauss-Seidel + cout << "\nGauss-Seidel Method:\n"; + x = {0, 0, 0}; + for (int iter = 1; iter <= MAX_ITER; iter++) { + vector x_old = x; + x[0] = (b[0] + 3*x[1] - 4*x[2]) / 7; + x[1] = (b[1] - 2*x[0] - 3*x[2]) / 5; + x[2] = (b[2] + 3*x[0] - 2*x[1]) / 6; + + double maxDiff = max({fabs(x[0]-x_old[0]), fabs(x[1]-x_old[1]), fabs(x[2]-x_old[2])}); + if (maxDiff < TOL) { + cout << "Converged in " << iter << " iterations\n"; + break; + } + } + for (int i = 0; i < 3; i++) + cout << "x" << (i+1) << " = " << fixed << setprecision(6) << x[i] << "\n"; + + return 0; +} diff --git a/HW2_111550013/HW2_111550013_report.pdf b/HW2_111550013/HW2_111550013_report.pdf new file mode 100644 index 0000000..655b3ea --- /dev/null +++ b/HW2_111550013/HW2_111550013_report.pdf @@ -0,0 +1,8569 @@ +%PDF-1.7 +% + +1 0 obj +<< + /Type /Pages + /Count 8 + /Kids [617 0 R 619 0 R 621 0 R 623 0 R 625 0 R 627 0 R 629 0 R 631 0 R] +>> +endobj + +2 0 obj +<< + /Type /Outlines + /First 3 0 R + /Last 14 0 R + /Count 4 +>> +endobj + +3 0 obj +<< + /Parent 2 0 R + /Next 6 0 R + /First 4 0 R + /Last 5 0 R + /Count -2 + /Title (1. Gaussian Elimination with Partial Pivoting (15%)) + /Dest 602 0 R +>> +endobj + +4 0 obj +<< + /Parent 3 0 R + /Next 5 0 R + /Title (Solution Process) + /Dest 600 0 R +>> +endobj + +5 0 obj +<< + /Parent 3 0 R + /Prev 4 0 R + /Title (Solution) + /Dest 601 0 R +>> +endobj + +6 0 obj +<< + /Parent 2 0 R + /Next 10 0 R + /Prev 3 0 R + /First 7 0 R + /Last 9 0 R + /Count -3 + /Title (2. Scaled Partial Pivoting (25%)) + /Dest 606 0 R +>> +endobj + +7 0 obj +<< + /Parent 6 0 R + /Next 8 0 R + /Title (Part (a): Six Significant Digits) + /Dest 603 0 R +>> +endobj + +8 0 obj +<< + /Parent 6 0 R + /Next 9 0 R + /Prev 7 0 R + /Title (Part (b): Three Significant Digits) + /Dest 604 0 R +>> +endobj + +9 0 obj +<< + /Parent 6 0 R + /Prev 8 0 R + /Title (Comparison) + /Dest 605 0 R +>> +endobj + +10 0 obj +<< + /Parent 2 0 R + /Next 14 0 R + /Prev 6 0 R + /First 11 0 R + /Last 13 0 R + /Count -3 + /Title (3. Symmetric Tridiagonal System (30%)) + /Dest 610 0 R +>> +endobj + +11 0 obj +<< + /Parent 10 0 R + /Next 12 0 R + /Title (Part (a): Algorithm for Symmetric Tridiagonal System) + /Dest 607 0 R +>> +endobj + +12 0 obj +<< + /Parent 10 0 R + /Next 13 0 R + /Prev 11 0 R + /Title (Part (b): Solving the System) + /Dest 608 0 R +>> +endobj + +13 0 obj +<< + /Parent 10 0 R + /Prev 12 0 R + /Title (Part (c): Arithmetic Operations Count) + /Dest 609 0 R +>> +endobj + +14 0 obj +<< + /Parent 2 0 R + /Prev 10 0 R + /First 15 0 R + /Last 18 0 R + /Count -4 + /Title (4. Jacobi and Gauss-Seidel Methods (40%)) + /Dest 615 0 R +>> +endobj + +15 0 obj +<< + /Parent 14 0 R + /Next 16 0 R + /Title (Checking and Rearranging for Diagonal Dominance) + /Dest 611 0 R +>> +endobj + +16 0 obj +<< + /Parent 14 0 R + /Next 17 0 R + /Prev 15 0 R + /Title (Part (a): Jacobi Method) + /Dest 612 0 R +>> +endobj + +17 0 obj +<< + /Parent 14 0 R + /Next 18 0 R + /Prev 16 0 R + /Title (Part (b): Gauss-Seidel Method) + /Dest 613 0 R +>> +endobj + +18 0 obj +<< + /Parent 14 0 R + /Prev 17 0 R + /Title (Comparison) + /Dest 614 0 R +>> +endobj + +19 0 obj +<< + /Nums [0 554 0 R 1 555 0 R 2 556 0 R 3 557 0 R 4 558 0 R 5 559 0 R 6 560 0 R 7 561 0 R] +>> +endobj + +20 0 obj +<< + /Type /StructTreeRoot + /RoleMap << + /Datetime /Span + /Terms /Part + /Title /P + /Strong /Span + /Em /Span + >> + /K [29 0 R] + /ParentTree << + /Nums [0 551 0 R 1 21 0 R 2 22 0 R 3 23 0 R 4 24 0 R 5 25 0 R 6 26 0 R 7 27 0 R 8 28 0 R] + >> + /ParentTreeNextKey 9 +>> +endobj + +21 0 obj +[553 0 R 552 0 R 552 0 R 551 0 R 548 0 R 548 0 R 547 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 545 0 R 544 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 541 0 R 538 0 R 540 0 R 540 0 R 540 0 R 540 0 R 540 0 R 538 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 538 0 R 534 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 534 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 534 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 533 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 531 0 R 528 0 R 530 0 R 530 0 R 530 0 R 530 0 R 530 0 R 528 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 528 0 R 525 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 525 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 524 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 522 0 R 519 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 519 0 R 520 0 R 518 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 515 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 514 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 512 0 R] +endobj + +22 0 obj +[510 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 506 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 502 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 498 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 493 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 491 0 R 490 0 R] +endobj + +23 0 obj +[489 0 R 489 0 R 488 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 486 0 R 485 0 R 483 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 479 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 475 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 470 0 R 468 0 R 467 0 R 465 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 463 0 R 461 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 459 0 R 457 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 454 0 R 451 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 451 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 450 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 448 0 R 446 0 R 445 0 R 443 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 441 0 R 439 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 435 0 R 436 0 R 433 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 432 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 430 0 R 428 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 424 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 420 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 415 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 412 0 R 411 0 R 410 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 407 0 R 406 0 R 405 0 R 404 0 R 404 0 R 400 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 400 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 400 0 R 401 0 R 401 0 R 401 0 R 400 0 R 398 0 R 397 0 R 397 0 R 393 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 393 0 R 395 0 R 395 0 R 395 0 R 395 0 R 393 0 R 394 0 R 394 0 R 394 0 R 394 0 R 394 0 R 393 0 R 391 0 R 390 0 R 390 0 R 386 0 R 389 0 R 389 0 R 389 0 R 389 0 R 389 0 R 389 0 R 386 0 R 388 0 R 388 0 R 388 0 R 388 0 R 386 0 R 387 0 R 387 0 R 387 0 R 387 0 R 387 0 R 386 0 R] +endobj + +24 0 obj +[382 0 R 383 0 R 383 0 R 382 0 R 382 0 R] +endobj + +25 0 obj +[381 0 R 381 0 R 380 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 378 0 R 377 0 R 376 0 R 375 0 R 375 0 R 373 0 R 374 0 R 373 0 R 371 0 R 370 0 R 370 0 R 368 0 R 369 0 R 369 0 R 369 0 R 368 0 R 366 0 R 365 0 R 365 0 R 363 0 R 364 0 R 363 0 R 360 0 R 358 0 R 357 0 R 355 0 R 354 0 R 353 0 R 352 0 R 351 0 R 349 0 R 348 0 R 347 0 R 346 0 R 344 0 R 343 0 R 341 0 R 340 0 R 339 0 R 338 0 R 336 0 R 335 0 R 334 0 R 333 0 R 331 0 R 330 0 R 329 0 R 328 0 R 326 0 R 325 0 R 324 0 R 323 0 R 321 0 R 320 0 R 319 0 R 318 0 R 316 0 R 315 0 R 314 0 R 313 0 R 311 0 R 310 0 R 309 0 R 308 0 R 305 0 R 303 0 R 299 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 299 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 299 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 297 0 R 293 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 293 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 293 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 291 0 R 287 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 287 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 287 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 285 0 R 281 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 281 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 281 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 279 0 R 275 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 275 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 275 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 272 0 R 270 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 266 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 262 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 258 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 254 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 250 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 245 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R] +endobj + +26 0 obj +[242 0 R 240 0 R 241 0 R 240 0 R 239 0 R 238 0 R 238 0 R 238 0 R 236 0 R 234 0 R 233 0 R 233 0 R 233 0 R 231 0 R 232 0 R 231 0 R 229 0 R 228 0 R 228 0 R 228 0 R 226 0 R 227 0 R 227 0 R 227 0 R 227 0 R 227 0 R 227 0 R 226 0 R 224 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 220 0 R 222 0 R 222 0 R 220 0 R 221 0 R 221 0 R 220 0 R 216 0 R 217 0 R 217 0 R 217 0 R 217 0 R 217 0 R 217 0 R 216 0 R 215 0 R 213 0 R 211 0 R 212 0 R 212 0 R 211 0 R 209 0 R 206 0 R 208 0 R 208 0 R 208 0 R 208 0 R 208 0 R 206 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 206 0 R 202 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 202 0 R 201 0 R 199 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 197 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 197 0 R] +endobj + +27 0 obj +[196 0 R 196 0 R 195 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 193 0 R 192 0 R 190 0 R 187 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 187 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 187 0 R 185 0 R 182 0 R 184 0 R 184 0 R 184 0 R 184 0 R 184 0 R 182 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 182 0 R 180 0 R 177 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 177 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 177 0 R 174 0 R 173 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 171 0 R 170 0 R 167 0 R 169 0 R 169 0 R 169 0 R 169 0 R 169 0 R 167 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 167 0 R 165 0 R 162 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 162 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 162 0 R 160 0 R 158 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 158 0 R 155 0 R 154 0 R 153 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 150 0 R 148 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 147 0 R 146 0 R 146 0 R 144 0 R 144 0 R 142 0 R 142 0 R 139 0 R 138 0 R 137 0 R 136 0 R 134 0 R 133 0 R 132 0 R 131 0 R 129 0 R 128 0 R 127 0 R 126 0 R 124 0 R 123 0 R 122 0 R 121 0 R 119 0 R 118 0 R 117 0 R 116 0 R 114 0 R 113 0 R 112 0 R 111 0 R 109 0 R 108 0 R 107 0 R 106 0 R 104 0 R 103 0 R 102 0 R 101 0 R 98 0 R 96 0 R 94 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 93 0 R 92 0 R] +endobj + +28 0 obj +[90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 89 0 R 88 0 R 88 0 R 86 0 R 86 0 R 84 0 R 84 0 R 81 0 R 80 0 R 79 0 R 78 0 R 76 0 R 75 0 R 74 0 R 73 0 R 71 0 R 70 0 R 69 0 R 68 0 R 66 0 R 65 0 R 64 0 R 63 0 R 61 0 R 60 0 R 59 0 R 58 0 R 56 0 R 55 0 R 54 0 R 53 0 R 51 0 R 50 0 R 49 0 R 48 0 R 46 0 R 45 0 R 44 0 R 43 0 R 40 0 R 38 0 R 36 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 35 0 R 34 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 30 0 R 32 0 R 30 0 R 31 0 R 30 0 R 30 0 R] +endobj + +29 0 obj +<< + /Type /StructElem + /S /Document + /P 20 0 R + /K [553 0 R 549 0 R 548 0 R 547 0 R 546 0 R 545 0 R 543 0 R 542 0 R 538 0 R 534 0 R 533 0 R 532 0 R 528 0 R 525 0 R 524 0 R 523 0 R 519 0 R 518 0 R 517 0 R 515 0 R 514 0 R 513 0 R 511 0 R 494 0 R 493 0 R 492 0 R 490 0 R 489 0 R 488 0 R 487 0 R 486 0 R 484 0 R 471 0 R 469 0 R 468 0 R 455 0 R 454 0 R 451 0 R 450 0 R 449 0 R 447 0 R 446 0 R 437 0 R 435 0 R 433 0 R 432 0 R 431 0 R 429 0 R 416 0 R 414 0 R 413 0 R 412 0 R 411 0 R 409 0 R 408 0 R 407 0 R 406 0 R 384 0 R 382 0 R 381 0 R 380 0 R 379 0 R 378 0 R 377 0 R 361 0 R 359 0 R 345 0 R 344 0 R 342 0 R 306 0 R 304 0 R 273 0 R 271 0 R 246 0 R 244 0 R 243 0 R 242 0 R 240 0 R 235 0 R 218 0 R 216 0 R 214 0 R 204 0 R 202 0 R 199 0 R 197 0 R 196 0 R 195 0 R 194 0 R 193 0 R 191 0 R 175 0 R 173 0 R 172 0 R 171 0 R 156 0 R 155 0 R 154 0 R 152 0 R 151 0 R 148 0 R 99 0 R 97 0 R 94 0 R 93 0 R 91 0 R 90 0 R 41 0 R 39 0 R 36 0 R 35 0 R 34 0 R 33 0 R 30 0 R] +>> +endobj + +30 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [182 32 0 R 184 31 0 R 186 187] + /Pg 631 0 R +>> +endobj + +31 0 obj +<< + /Type /StructElem + /S /Strong + /P 30 0 R + /K [185] + /Pg 631 0 R +>> +endobj + +32 0 obj +<< + /Type /StructElem + /S /Strong + /P 30 0 R + /K [183] + /Pg 631 0 R +>> +endobj + +33 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181] + /Pg 631 0 R +>> +endobj + +34 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [153] + /Pg 631 0 R +>> +endobj + +35 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Comparison) + /K [152] + /Pg 631 0 R +>> +endobj + +36 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [38 0 R 120 37 0 R] + /Pg 631 0 R +>> +endobj + +37 0 obj +<< + /Type /StructElem + /S /Formula + /P 36 0 R + /K [121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151] + /Pg 631 0 R +>> +endobj + +38 0 obj +<< + /Type /StructElem + /S /Strong + /P 36 0 R + /K [119] + /Pg 631 0 R +>> +endobj + +39 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [40 0 R] +>> +endobj + +40 0 obj +<< + /Type /StructElem + /S /Strong + /P 39 0 R + /K [118] + /Pg 631 0 R +>> +endobj + +41 0 obj +<< + /Type /StructElem + /S /Table + /P 29 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [82 0 R 77 0 R 72 0 R 67 0 R 62 0 R 57 0 R 52 0 R 47 0 R 42 0 R] +>> +endobj + +42 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [46 0 R 45 0 R 44 0 R 43 0 R] +>> +endobj + +43 0 obj +<< + /Type /StructElem + /S /TD + /P 42 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [117] + /Pg 631 0 R +>> +endobj + +44 0 obj +<< + /Type /StructElem + /S /TD + /P 42 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [116] + /Pg 631 0 R +>> +endobj + +45 0 obj +<< + /Type /StructElem + /S /TD + /P 42 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [115] + /Pg 631 0 R +>> +endobj + +46 0 obj +<< + /Type /StructElem + /S /TD + /P 42 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [114] + /Pg 631 0 R +>> +endobj + +47 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [51 0 R 50 0 R 49 0 R 48 0 R] +>> +endobj + +48 0 obj +<< + /Type /StructElem + /S /TD + /P 47 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [113] + /Pg 631 0 R +>> +endobj + +49 0 obj +<< + /Type /StructElem + /S /TD + /P 47 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [112] + /Pg 631 0 R +>> +endobj + +50 0 obj +<< + /Type /StructElem + /S /TD + /P 47 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [111] + /Pg 631 0 R +>> +endobj + +51 0 obj +<< + /Type /StructElem + /S /TD + /P 47 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [110] + /Pg 631 0 R +>> +endobj + +52 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [56 0 R 55 0 R 54 0 R 53 0 R] +>> +endobj + +53 0 obj +<< + /Type /StructElem + /S /TD + /P 52 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [109] + /Pg 631 0 R +>> +endobj + +54 0 obj +<< + /Type /StructElem + /S /TD + /P 52 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [108] + /Pg 631 0 R +>> +endobj + +55 0 obj +<< + /Type /StructElem + /S /TD + /P 52 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [107] + /Pg 631 0 R +>> +endobj + +56 0 obj +<< + /Type /StructElem + /S /TD + /P 52 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [106] + /Pg 631 0 R +>> +endobj + +57 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [61 0 R 60 0 R 59 0 R 58 0 R] +>> +endobj + +58 0 obj +<< + /Type /StructElem + /S /TD + /P 57 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [105] + /Pg 631 0 R +>> +endobj + +59 0 obj +<< + /Type /StructElem + /S /TD + /P 57 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [104] + /Pg 631 0 R +>> +endobj + +60 0 obj +<< + /Type /StructElem + /S /TD + /P 57 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [103] + /Pg 631 0 R +>> +endobj + +61 0 obj +<< + /Type /StructElem + /S /TD + /P 57 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [102] + /Pg 631 0 R +>> +endobj + +62 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [66 0 R 65 0 R 64 0 R 63 0 R] +>> +endobj + +63 0 obj +<< + /Type /StructElem + /S /TD + /P 62 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [101] + /Pg 631 0 R +>> +endobj + +64 0 obj +<< + /Type /StructElem + /S /TD + /P 62 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [100] + /Pg 631 0 R +>> +endobj + +65 0 obj +<< + /Type /StructElem + /S /TD + /P 62 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [99] + /Pg 631 0 R +>> +endobj + +66 0 obj +<< + /Type /StructElem + /S /TD + /P 62 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [98] + /Pg 631 0 R +>> +endobj + +67 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [71 0 R 70 0 R 69 0 R 68 0 R] +>> +endobj + +68 0 obj +<< + /Type /StructElem + /S /TD + /P 67 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [97] + /Pg 631 0 R +>> +endobj + +69 0 obj +<< + /Type /StructElem + /S /TD + /P 67 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [96] + /Pg 631 0 R +>> +endobj + +70 0 obj +<< + /Type /StructElem + /S /TD + /P 67 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [95] + /Pg 631 0 R +>> +endobj + +71 0 obj +<< + /Type /StructElem + /S /TD + /P 67 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [94] + /Pg 631 0 R +>> +endobj + +72 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [76 0 R 75 0 R 74 0 R 73 0 R] +>> +endobj + +73 0 obj +<< + /Type /StructElem + /S /TD + /P 72 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [93] + /Pg 631 0 R +>> +endobj + +74 0 obj +<< + /Type /StructElem + /S /TD + /P 72 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [92] + /Pg 631 0 R +>> +endobj + +75 0 obj +<< + /Type /StructElem + /S /TD + /P 72 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [91] + /Pg 631 0 R +>> +endobj + +76 0 obj +<< + /Type /StructElem + /S /TD + /P 72 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [90] + /Pg 631 0 R +>> +endobj + +77 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [81 0 R 80 0 R 79 0 R 78 0 R] +>> +endobj + +78 0 obj +<< + /Type /StructElem + /S /TD + /P 77 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [89] + /Pg 631 0 R +>> +endobj + +79 0 obj +<< + /Type /StructElem + /S /TD + /P 77 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [88] + /Pg 631 0 R +>> +endobj + +80 0 obj +<< + /Type /StructElem + /S /TD + /P 77 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [87] + /Pg 631 0 R +>> +endobj + +81 0 obj +<< + /Type /StructElem + /S /TD + /P 77 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [86] + /Pg 631 0 R +>> +endobj + +82 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [89 0 R 87 0 R 85 0 R 83 0 R] +>> +endobj + +83 0 obj +<< + /Type /StructElem + /S /TD + /P 82 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [84 0 R] +>> +endobj + +84 0 obj +<< + /Type /StructElem + /S /Formula + /P 83 0 R + /K [84 85] + /Pg 631 0 R +>> +endobj + +85 0 obj +<< + /Type /StructElem + /S /TD + /P 82 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [86 0 R] +>> +endobj + +86 0 obj +<< + /Type /StructElem + /S /Formula + /P 85 0 R + /K [82 83] + /Pg 631 0 R +>> +endobj + +87 0 obj +<< + /Type /StructElem + /S /TD + /P 82 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [88 0 R] +>> +endobj + +88 0 obj +<< + /Type /StructElem + /S /Formula + /P 87 0 R + /K [80 81] + /Pg 631 0 R +>> +endobj + +89 0 obj +<< + /Type /StructElem + /S /TD + /P 82 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [79] + /Pg 631 0 R +>> +endobj + +90 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78] + /Pg 631 0 R +>> +endobj + +91 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [92 0 R] +>> +endobj + +92 0 obj +<< + /Type /StructElem + /S /Strong + /P 91 0 R + /K [341] + /Pg 629 0 R +>> +endobj + +93 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (b): Gauss-Seidel Method) + /K [340] + /Pg 629 0 R +>> +endobj + +94 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [96 0 R 308 95 0 R] + /Pg 629 0 R +>> +endobj + +95 0 obj +<< + /Type /StructElem + /S /Formula + /P 94 0 R + /K [309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339] + /Pg 629 0 R +>> +endobj + +96 0 obj +<< + /Type /StructElem + /S /Strong + /P 94 0 R + /K [307] + /Pg 629 0 R +>> +endobj + +97 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [98 0 R] +>> +endobj + +98 0 obj +<< + /Type /StructElem + /S /Strong + /P 97 0 R + /K [306] + /Pg 629 0 R +>> +endobj + +99 0 obj +<< + /Type /StructElem + /S /Table + /P 29 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [140 0 R 135 0 R 130 0 R 125 0 R 120 0 R 115 0 R 110 0 R 105 0 R 100 0 R] +>> +endobj + +100 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [104 0 R 103 0 R 102 0 R 101 0 R] +>> +endobj + +101 0 obj +<< + /Type /StructElem + /S /TD + /P 100 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [305] + /Pg 629 0 R +>> +endobj + +102 0 obj +<< + /Type /StructElem + /S /TD + /P 100 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [304] + /Pg 629 0 R +>> +endobj + +103 0 obj +<< + /Type /StructElem + /S /TD + /P 100 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [303] + /Pg 629 0 R +>> +endobj + +104 0 obj +<< + /Type /StructElem + /S /TD + /P 100 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [302] + /Pg 629 0 R +>> +endobj + +105 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [109 0 R 108 0 R 107 0 R 106 0 R] +>> +endobj + +106 0 obj +<< + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [301] + /Pg 629 0 R +>> +endobj + +107 0 obj +<< + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [300] + /Pg 629 0 R +>> +endobj + +108 0 obj +<< + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [299] + /Pg 629 0 R +>> +endobj + +109 0 obj +<< + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [298] + /Pg 629 0 R +>> +endobj + +110 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [114 0 R 113 0 R 112 0 R 111 0 R] +>> +endobj + +111 0 obj +<< + /Type /StructElem + /S /TD + /P 110 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [297] + /Pg 629 0 R +>> +endobj + +112 0 obj +<< + /Type /StructElem + /S /TD + /P 110 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [296] + /Pg 629 0 R +>> +endobj + +113 0 obj +<< + /Type /StructElem + /S /TD + /P 110 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [295] + /Pg 629 0 R +>> +endobj + +114 0 obj +<< + /Type /StructElem + /S /TD + /P 110 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [294] + /Pg 629 0 R +>> +endobj + +115 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [119 0 R 118 0 R 117 0 R 116 0 R] +>> +endobj + +116 0 obj +<< + /Type /StructElem + /S /TD + /P 115 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [293] + /Pg 629 0 R +>> +endobj + +117 0 obj +<< + /Type /StructElem + /S /TD + /P 115 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [292] + /Pg 629 0 R +>> +endobj + +118 0 obj +<< + /Type /StructElem + /S /TD + /P 115 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [291] + /Pg 629 0 R +>> +endobj + +119 0 obj +<< + /Type /StructElem + /S /TD + /P 115 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [290] + /Pg 629 0 R +>> +endobj + +120 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [124 0 R 123 0 R 122 0 R 121 0 R] +>> +endobj + +121 0 obj +<< + /Type /StructElem + /S /TD + /P 120 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [289] + /Pg 629 0 R +>> +endobj + +122 0 obj +<< + /Type /StructElem + /S /TD + /P 120 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [288] + /Pg 629 0 R +>> +endobj + +123 0 obj +<< + /Type /StructElem + /S /TD + /P 120 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [287] + /Pg 629 0 R +>> +endobj + +124 0 obj +<< + /Type /StructElem + /S /TD + /P 120 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [286] + /Pg 629 0 R +>> +endobj + +125 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [129 0 R 128 0 R 127 0 R 126 0 R] +>> +endobj + +126 0 obj +<< + /Type /StructElem + /S /TD + /P 125 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [285] + /Pg 629 0 R +>> +endobj + +127 0 obj +<< + /Type /StructElem + /S /TD + /P 125 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [284] + /Pg 629 0 R +>> +endobj + +128 0 obj +<< + /Type /StructElem + /S /TD + /P 125 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [283] + /Pg 629 0 R +>> +endobj + +129 0 obj +<< + /Type /StructElem + /S /TD + /P 125 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [282] + /Pg 629 0 R +>> +endobj + +130 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [134 0 R 133 0 R 132 0 R 131 0 R] +>> +endobj + +131 0 obj +<< + /Type /StructElem + /S /TD + /P 130 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [281] + /Pg 629 0 R +>> +endobj + +132 0 obj +<< + /Type /StructElem + /S /TD + /P 130 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [280] + /Pg 629 0 R +>> +endobj + +133 0 obj +<< + /Type /StructElem + /S /TD + /P 130 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [279] + /Pg 629 0 R +>> +endobj + +134 0 obj +<< + /Type /StructElem + /S /TD + /P 130 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [278] + /Pg 629 0 R +>> +endobj + +135 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [139 0 R 138 0 R 137 0 R 136 0 R] +>> +endobj + +136 0 obj +<< + /Type /StructElem + /S /TD + /P 135 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [277] + /Pg 629 0 R +>> +endobj + +137 0 obj +<< + /Type /StructElem + /S /TD + /P 135 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [276] + /Pg 629 0 R +>> +endobj + +138 0 obj +<< + /Type /StructElem + /S /TD + /P 135 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [275] + /Pg 629 0 R +>> +endobj + +139 0 obj +<< + /Type /StructElem + /S /TD + /P 135 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [274] + /Pg 629 0 R +>> +endobj + +140 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [147 0 R 145 0 R 143 0 R 141 0 R] +>> +endobj + +141 0 obj +<< + /Type /StructElem + /S /TD + /P 140 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [142 0 R] +>> +endobj + +142 0 obj +<< + /Type /StructElem + /S /Formula + /P 141 0 R + /K [272 273] + /Pg 629 0 R +>> +endobj + +143 0 obj +<< + /Type /StructElem + /S /TD + /P 140 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [144 0 R] +>> +endobj + +144 0 obj +<< + /Type /StructElem + /S /Formula + /P 143 0 R + /K [270 271] + /Pg 629 0 R +>> +endobj + +145 0 obj +<< + /Type /StructElem + /S /TD + /P 140 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [146 0 R] +>> +endobj + +146 0 obj +<< + /Type /StructElem + /S /Formula + /P 145 0 R + /K [268 269] + /Pg 629 0 R +>> +endobj + +147 0 obj +<< + /Type /StructElem + /S /TD + /P 140 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [267] + /Pg 629 0 R +>> +endobj + +148 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [150 0 R 253 149 0 R] + /Pg 629 0 R +>> +endobj + +149 0 obj +<< + /Type /StructElem + /S /Formula + /P 148 0 R + /K [254 255 256 257 258 259 260 261 262 263 264 265 266] + /Pg 629 0 R +>> +endobj + +150 0 obj +<< + /Type /StructElem + /S /Strong + /P 148 0 R + /K [252] + /Pg 629 0 R +>> +endobj + +151 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251] + /Pg 629 0 R +>> +endobj + +152 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [153 0 R] +>> +endobj + +153 0 obj +<< + /Type /StructElem + /S /Strong + /P 152 0 R + /K [178] + /Pg 629 0 R +>> +endobj + +154 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (a): Jacobi Method) + /K [177] + /Pg 629 0 R +>> +endobj + +155 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [176] + /Pg 629 0 R +>> +endobj + +156 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [166 0 R 161 0 R 157 0 R] +>> +endobj + +157 0 obj +<< + /Type /StructElem + /S /LI + /P 156 0 R + /K [160 0 R 158 0 R] +>> +endobj + +158 0 obj +<< + /Type /StructElem + /S /LBody + /P 157 0 R + /K [158 159 0 R 175] + /Pg 629 0 R +>> +endobj + +159 0 obj +<< + /Type /StructElem + /S /Formula + /P 158 0 R + /K [159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174] + /Pg 629 0 R +>> +endobj + +160 0 obj +<< + /Type /StructElem + /S /Lbl + /P 157 0 R + /K [157] + /Pg 629 0 R +>> +endobj + +161 0 obj +<< + /Type /StructElem + /S /LI + /P 156 0 R + /K [165 0 R 162 0 R] +>> +endobj + +162 0 obj +<< + /Type /StructElem + /S /LBody + /P 161 0 R + /K [140 164 0 R 146 163 0 R 156] + /Pg 629 0 R +>> +endobj + +163 0 obj +<< + /Type /StructElem + /S /Formula + /P 162 0 R + /K [147 148 149 150 151 152 153 154 155] + /Pg 629 0 R +>> +endobj + +164 0 obj +<< + /Type /StructElem + /S /Formula + /P 162 0 R + /K [141 142 143 144 145] + /Pg 629 0 R +>> +endobj + +165 0 obj +<< + /Type /StructElem + /S /Lbl + /P 161 0 R + /K [139] + /Pg 629 0 R +>> +endobj + +166 0 obj +<< + /Type /StructElem + /S /LI + /P 156 0 R + /K [170 0 R 167 0 R] +>> +endobj + +167 0 obj +<< + /Type /StructElem + /S /LBody + /P 166 0 R + /K [121 169 0 R 127 168 0 R 138] + /Pg 629 0 R +>> +endobj + +168 0 obj +<< + /Type /StructElem + /S /Formula + /P 167 0 R + /K [128 129 130 131 132 133 134 135 136 137] + /Pg 629 0 R +>> +endobj + +169 0 obj +<< + /Type /StructElem + /S /Formula + /P 167 0 R + /K [122 123 124 125 126] + /Pg 629 0 R +>> +endobj + +170 0 obj +<< + /Type /StructElem + /S /Lbl + /P 166 0 R + /K [120] + /Pg 629 0 R +>> +endobj + +171 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [119] + /Pg 629 0 R +>> +endobj + +172 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118] + /Pg 629 0 R +>> +endobj + +173 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [174 0 R 90] + /Pg 629 0 R +>> +endobj + +174 0 obj +<< + /Type /StructElem + /S /Strong + /P 173 0 R + /K [89] + /Pg 629 0 R +>> +endobj + +175 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [186 0 R 181 0 R 176 0 R] +>> +endobj + +176 0 obj +<< + /Type /StructElem + /S /LI + /P 175 0 R + /K [180 0 R 177 0 R] +>> +endobj + +177 0 obj +<< + /Type /StructElem + /S /LBody + /P 176 0 R + /K [72 179 0 R 78 178 0 R 88] + /Pg 629 0 R +>> +endobj + +178 0 obj +<< + /Type /StructElem + /S /Formula + /P 177 0 R + /K [79 80 81 82 83 84 85 86 87] + /Pg 629 0 R +>> +endobj + +179 0 obj +<< + /Type /StructElem + /S /Formula + /P 177 0 R + /K [73 74 75 76 77] + /Pg 629 0 R +>> +endobj + +180 0 obj +<< + /Type /StructElem + /S /Lbl + /P 176 0 R + /K [71] + /Pg 629 0 R +>> +endobj + +181 0 obj +<< + /Type /StructElem + /S /LI + /P 175 0 R + /K [185 0 R 182 0 R] +>> +endobj + +182 0 obj +<< + /Type /StructElem + /S /LBody + /P 181 0 R + /K [53 184 0 R 59 183 0 R 70] + /Pg 629 0 R +>> +endobj + +183 0 obj +<< + /Type /StructElem + /S /Formula + /P 182 0 R + /K [60 61 62 63 64 65 66 67 68 69] + /Pg 629 0 R +>> +endobj + +184 0 obj +<< + /Type /StructElem + /S /Formula + /P 182 0 R + /K [54 55 56 57 58] + /Pg 629 0 R +>> +endobj + +185 0 obj +<< + /Type /StructElem + /S /Lbl + /P 181 0 R + /K [52] + /Pg 629 0 R +>> +endobj + +186 0 obj +<< + /Type /StructElem + /S /LI + /P 175 0 R + /K [190 0 R 187 0 R] +>> +endobj + +187 0 obj +<< + /Type /StructElem + /S /LBody + /P 186 0 R + /K [34 189 0 R 40 188 0 R 51] + /Pg 629 0 R +>> +endobj + +188 0 obj +<< + /Type /StructElem + /S /Formula + /P 187 0 R + /K [41 42 43 44 45 46 47 48 49 50] + /Pg 629 0 R +>> +endobj + +189 0 obj +<< + /Type /StructElem + /S /Formula + /P 187 0 R + /K [35 36 37 38 39] + /Pg 629 0 R +>> +endobj + +190 0 obj +<< + /Type /StructElem + /S /Lbl + /P 186 0 R + /K [33] + /Pg 629 0 R +>> +endobj + +191 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [192 0 R] +>> +endobj + +192 0 obj +<< + /Type /StructElem + /S /Strong + /P 191 0 R + /K [32] + /Pg 629 0 R +>> +endobj + +193 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Checking and Rearranging for Diagonal Dominance) + /K [31] + /Pg 629 0 R +>> +endobj + +194 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30] + /Pg 629 0 R +>> +endobj + +195 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [2] + /Pg 629 0 R +>> +endobj + +196 0 obj +<< + /Type /StructElem + /S /H1 + /P 29 0 R + /T (Jacobi and Gauss-Seidel Methods (40%)) + /K [0 1] + /Pg 629 0 R +>> +endobj + +197 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [109 198 0 R 115] + /Pg 627 0 R +>> +endobj + +198 0 obj +<< + /Type /StructElem + /S /Formula + /P 197 0 R + /K [110 111 112 113 114] + /Pg 627 0 R +>> +endobj + +199 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [201 0 R 87 200 0 R] + /Pg 627 0 R +>> +endobj + +200 0 obj +<< + /Type /StructElem + /S /Formula + /P 199 0 R + /K [88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108] + /Pg 627 0 R +>> +endobj + +201 0 obj +<< + /Type /StructElem + /S /Strong + /P 199 0 R + /K [86] + /Pg 627 0 R +>> +endobj + +202 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [71 203 0 R 85] + /Pg 627 0 R +>> +endobj + +203 0 obj +<< + /Type /StructElem + /S /Formula + /P 202 0 R + /K [72 73 74 75 76 77 78 79 80 81 82 83 84] + /Pg 627 0 R +>> +endobj + +204 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [210 0 R 205 0 R] +>> +endobj + +205 0 obj +<< + /Type /StructElem + /S /LI + /P 204 0 R + /K [209 0 R 206 0 R] +>> +endobj + +206 0 obj +<< + /Type /StructElem + /S /LBody + /P 205 0 R + /K [57 208 0 R 63 207 0 R 70] + /Pg 627 0 R +>> +endobj + +207 0 obj +<< + /Type /StructElem + /S /Formula + /P 206 0 R + /K [64 65 66 67 68 69] + /Pg 627 0 R +>> +endobj + +208 0 obj +<< + /Type /StructElem + /S /Formula + /P 206 0 R + /K [58 59 60 61 62] + /Pg 627 0 R +>> +endobj + +209 0 obj +<< + /Type /StructElem + /S /Lbl + /P 205 0 R + /K [56] + /Pg 627 0 R +>> +endobj + +210 0 obj +<< + /Type /StructElem + /S /LI + /P 204 0 R + /K [213 0 R 211 0 R] +>> +endobj + +211 0 obj +<< + /Type /StructElem + /S /LBody + /P 210 0 R + /K [52 212 0 R 55] + /Pg 627 0 R +>> +endobj + +212 0 obj +<< + /Type /StructElem + /S /Formula + /P 211 0 R + /K [53 54] + /Pg 627 0 R +>> +endobj + +213 0 obj +<< + /Type /StructElem + /S /Lbl + /P 210 0 R + /K [51] + /Pg 627 0 R +>> +endobj + +214 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [215 0 R] +>> +endobj + +215 0 obj +<< + /Type /StructElem + /S /Strong + /P 214 0 R + /K [50] + /Pg 627 0 R +>> +endobj + +216 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [42 217 0 R 49] + /Pg 627 0 R +>> +endobj + +217 0 obj +<< + /Type /StructElem + /S /Formula + /P 216 0 R + /K [43 44 45 46 47 48] + /Pg 627 0 R +>> +endobj + +218 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [230 0 R 225 0 R 219 0 R] +>> +endobj + +219 0 obj +<< + /Type /StructElem + /S /LI + /P 218 0 R + /K [224 0 R 220 0 R] +>> +endobj + +220 0 obj +<< + /Type /StructElem + /S /LBody + /P 219 0 R + /K [223 0 R 35 222 0 R 38 221 0 R 41] + /Pg 627 0 R +>> +endobj + +221 0 obj +<< + /Type /StructElem + /S /Formula + /P 220 0 R + /K [39 40] + /Pg 627 0 R +>> +endobj + +222 0 obj +<< + /Type /StructElem + /S /Formula + /P 220 0 R + /K [36 37] + /Pg 627 0 R +>> +endobj + +223 0 obj +<< + /Type /StructElem + /S /Formula + /P 220 0 R + /K [29 30 31 32 33 34] + /Pg 627 0 R +>> +endobj + +224 0 obj +<< + /Type /StructElem + /S /Lbl + /P 219 0 R + /K [28] + /Pg 627 0 R +>> +endobj + +225 0 obj +<< + /Type /StructElem + /S /LI + /P 218 0 R + /K [229 0 R 226 0 R] +>> +endobj + +226 0 obj +<< + /Type /StructElem + /S /LBody + /P 225 0 R + /K [228 0 R 20 227 0 R 27] + /Pg 627 0 R +>> +endobj + +227 0 obj +<< + /Type /StructElem + /S /Formula + /P 226 0 R + /K [21 22 23 24 25 26] + /Pg 627 0 R +>> +endobj + +228 0 obj +<< + /Type /StructElem + /S /Formula + /P 226 0 R + /K [17 18 19] + /Pg 627 0 R +>> +endobj + +229 0 obj +<< + /Type /StructElem + /S /Lbl + /P 225 0 R + /K [16] + /Pg 627 0 R +>> +endobj + +230 0 obj +<< + /Type /StructElem + /S /LI + /P 218 0 R + /K [234 0 R 231 0 R] +>> +endobj + +231 0 obj +<< + /Type /StructElem + /S /LBody + /P 230 0 R + /K [233 0 R 13 232 0 R 15] + /Pg 627 0 R +>> +endobj + +232 0 obj +<< + /Type /StructElem + /S /Formula + /P 231 0 R + /K [14] + /Pg 627 0 R +>> +endobj + +233 0 obj +<< + /Type /StructElem + /S /Formula + /P 231 0 R + /K [10 11 12] + /Pg 627 0 R +>> +endobj + +234 0 obj +<< + /Type /StructElem + /S /Lbl + /P 230 0 R + /K [9] + /Pg 627 0 R +>> +endobj + +235 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [239 0 R 237 0 R 236 0 R] +>> +endobj + +236 0 obj +<< + /Type /StructElem + /S /Strong + /P 235 0 R + /K [8] + /Pg 627 0 R +>> +endobj + +237 0 obj +<< + /Type /StructElem + /S /Formula + /P 235 0 R + /K [238 0 R] +>> +endobj + +238 0 obj +<< + /Type /StructElem + /S /Strong + /P 237 0 R + /K [5 6 7] + /Pg 627 0 R +>> +endobj + +239 0 obj +<< + /Type /StructElem + /S /Strong + /P 235 0 R + /K [4] + /Pg 627 0 R +>> +endobj + +240 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [1 241 0 R 3] + /Pg 627 0 R +>> +endobj + +241 0 obj +<< + /Type /StructElem + /S /Formula + /P 240 0 R + /K [2] + /Pg 627 0 R +>> +endobj + +242 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (c): Arithmetic Operations Count) + /K [0] + /Pg 627 0 R +>> +endobj + +243 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605] + /Pg 625 0 R +>> +endobj + +244 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [245 0 R] +>> +endobj + +245 0 obj +<< + /Type /StructElem + /S /Strong + /P 244 0 R + /K [552] + /Pg 625 0 R +>> +endobj + +246 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [267 0 R 263 0 R 259 0 R 255 0 R 251 0 R 247 0 R] +>> +endobj + +247 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [250 0 R 248 0 R] +>> +endobj + +248 0 obj +<< + /Type /StructElem + /S /LBody + /P 247 0 R + /K [249 0 R] +>> +endobj + +249 0 obj +<< + /Type /StructElem + /S /Formula + /P 248 0 R + /K [527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551] + /Pg 625 0 R +>> +endobj + +250 0 obj +<< + /Type /StructElem + /S /Lbl + /P 247 0 R + /K [526] + /Pg 625 0 R +>> +endobj + +251 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [254 0 R 252 0 R] +>> +endobj + +252 0 obj +<< + /Type /StructElem + /S /LBody + /P 251 0 R + /K [253 0 R] +>> +endobj + +253 0 obj +<< + /Type /StructElem + /S /Formula + /P 252 0 R + /K [498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525] + /Pg 625 0 R +>> +endobj + +254 0 obj +<< + /Type /StructElem + /S /Lbl + /P 251 0 R + /K [497] + /Pg 625 0 R +>> +endobj + +255 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [258 0 R 256 0 R] +>> +endobj + +256 0 obj +<< + /Type /StructElem + /S /LBody + /P 255 0 R + /K [257 0 R] +>> +endobj + +257 0 obj +<< + /Type /StructElem + /S /Formula + /P 256 0 R + /K [467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496] + /Pg 625 0 R +>> +endobj + +258 0 obj +<< + /Type /StructElem + /S /Lbl + /P 255 0 R + /K [466] + /Pg 625 0 R +>> +endobj + +259 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [262 0 R 260 0 R] +>> +endobj + +260 0 obj +<< + /Type /StructElem + /S /LBody + /P 259 0 R + /K [261 0 R] +>> +endobj + +261 0 obj +<< + /Type /StructElem + /S /Formula + /P 260 0 R + /K [433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465] + /Pg 625 0 R +>> +endobj + +262 0 obj +<< + /Type /StructElem + /S /Lbl + /P 259 0 R + /K [432] + /Pg 625 0 R +>> +endobj + +263 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [266 0 R 264 0 R] +>> +endobj + +264 0 obj +<< + /Type /StructElem + /S /LBody + /P 263 0 R + /K [265 0 R] +>> +endobj + +265 0 obj +<< + /Type /StructElem + /S /Formula + /P 264 0 R + /K [399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431] + /Pg 625 0 R +>> +endobj + +266 0 obj +<< + /Type /StructElem + /S /Lbl + /P 263 0 R + /K [398] + /Pg 625 0 R +>> +endobj + +267 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [270 0 R 268 0 R] +>> +endobj + +268 0 obj +<< + /Type /StructElem + /S /LBody + /P 267 0 R + /K [269 0 R] +>> +endobj + +269 0 obj +<< + /Type /StructElem + /S /Formula + /P 268 0 R + /K [377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397] + /Pg 625 0 R +>> +endobj + +270 0 obj +<< + /Type /StructElem + /S /Lbl + /P 267 0 R + /K [376] + /Pg 625 0 R +>> +endobj + +271 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [272 0 R] +>> +endobj + +272 0 obj +<< + /Type /StructElem + /S /Strong + /P 271 0 R + /K [375] + /Pg 625 0 R +>> +endobj + +273 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [298 0 R 292 0 R 286 0 R 280 0 R 274 0 R] +>> +endobj + +274 0 obj +<< + /Type /StructElem + /S /LI + /P 273 0 R + /K [279 0 R 275 0 R] +>> +endobj + +275 0 obj +<< + /Type /StructElem + /S /LBody + /P 274 0 R + /K [334 278 0 R 353 277 0 R 364 276 0 R] + /Pg 625 0 R +>> +endobj + +276 0 obj +<< + /Type /StructElem + /S /Formula + /P 275 0 R + /K [365 366 367 368 369 370 371 372 373 374] + /Pg 625 0 R +>> +endobj + +277 0 obj +<< + /Type /StructElem + /S /Formula + /P 275 0 R + /K [354 355 356 357 358 359 360 361 362 363] + /Pg 625 0 R +>> +endobj + +278 0 obj +<< + /Type /StructElem + /S /Formula + /P 275 0 R + /K [335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352] + /Pg 625 0 R +>> +endobj + +279 0 obj +<< + /Type /StructElem + /S /Lbl + /P 274 0 R + /K [333] + /Pg 625 0 R +>> +endobj + +280 0 obj +<< + /Type /StructElem + /S /LI + /P 273 0 R + /K [285 0 R 281 0 R] +>> +endobj + +281 0 obj +<< + /Type /StructElem + /S /LBody + /P 280 0 R + /K [292 284 0 R 311 283 0 R 322 282 0 R] + /Pg 625 0 R +>> +endobj + +282 0 obj +<< + /Type /StructElem + /S /Formula + /P 281 0 R + /K [323 324 325 326 327 328 329 330 331 332] + /Pg 625 0 R +>> +endobj + +283 0 obj +<< + /Type /StructElem + /S /Formula + /P 281 0 R + /K [312 313 314 315 316 317 318 319 320 321] + /Pg 625 0 R +>> +endobj + +284 0 obj +<< + /Type /StructElem + /S /Formula + /P 281 0 R + /K [293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310] + /Pg 625 0 R +>> +endobj + +285 0 obj +<< + /Type /StructElem + /S /Lbl + /P 280 0 R + /K [291] + /Pg 625 0 R +>> +endobj + +286 0 obj +<< + /Type /StructElem + /S /LI + /P 273 0 R + /K [291 0 R 287 0 R] +>> +endobj + +287 0 obj +<< + /Type /StructElem + /S /LBody + /P 286 0 R + /K [250 290 0 R 269 289 0 R 280 288 0 R] + /Pg 625 0 R +>> +endobj + +288 0 obj +<< + /Type /StructElem + /S /Formula + /P 287 0 R + /K [281 282 283 284 285 286 287 288 289 290] + /Pg 625 0 R +>> +endobj + +289 0 obj +<< + /Type /StructElem + /S /Formula + /P 287 0 R + /K [270 271 272 273 274 275 276 277 278 279] + /Pg 625 0 R +>> +endobj + +290 0 obj +<< + /Type /StructElem + /S /Formula + /P 287 0 R + /K [251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268] + /Pg 625 0 R +>> +endobj + +291 0 obj +<< + /Type /StructElem + /S /Lbl + /P 286 0 R + /K [249] + /Pg 625 0 R +>> +endobj + +292 0 obj +<< + /Type /StructElem + /S /LI + /P 273 0 R + /K [297 0 R 293 0 R] +>> +endobj + +293 0 obj +<< + /Type /StructElem + /S /LBody + /P 292 0 R + /K [213 296 0 R 230 295 0 R 241 294 0 R] + /Pg 625 0 R +>> +endobj + +294 0 obj +<< + /Type /StructElem + /S /Formula + /P 293 0 R + /K [242 243 244 245 246 247 248] + /Pg 625 0 R +>> +endobj + +295 0 obj +<< + /Type /StructElem + /S /Formula + /P 293 0 R + /K [231 232 233 234 235 236 237 238 239 240] + /Pg 625 0 R +>> +endobj + +296 0 obj +<< + /Type /StructElem + /S /Formula + /P 293 0 R + /K [214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229] + /Pg 625 0 R +>> +endobj + +297 0 obj +<< + /Type /StructElem + /S /Lbl + /P 292 0 R + /K [212] + /Pg 625 0 R +>> +endobj + +298 0 obj +<< + /Type /StructElem + /S /LI + /P 273 0 R + /K [303 0 R 299 0 R] +>> +endobj + +299 0 obj +<< + /Type /StructElem + /S /LBody + /P 298 0 R + /K [152 302 0 R 164 301 0 R 187 300 0 R] + /Pg 625 0 R +>> +endobj + +300 0 obj +<< + /Type /StructElem + /S /Formula + /P 299 0 R + /K [188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211] + /Pg 625 0 R +>> +endobj + +301 0 obj +<< + /Type /StructElem + /S /Formula + /P 299 0 R + /K [165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186] + /Pg 625 0 R +>> +endobj + +302 0 obj +<< + /Type /StructElem + /S /Formula + /P 299 0 R + /K [153 154 155 156 157 158 159 160 161 162 163] + /Pg 625 0 R +>> +endobj + +303 0 obj +<< + /Type /StructElem + /S /Lbl + /P 298 0 R + /K [151] + /Pg 625 0 R +>> +endobj + +304 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [305 0 R] +>> +endobj + +305 0 obj +<< + /Type /StructElem + /S /Strong + /P 304 0 R + /K [150] + /Pg 625 0 R +>> +endobj + +306 0 obj +<< + /Type /StructElem + /S /Table + /P 29 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [337 0 R 332 0 R 327 0 R 322 0 R 317 0 R 312 0 R 307 0 R] +>> +endobj + +307 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [311 0 R 310 0 R 309 0 R 308 0 R] +>> +endobj + +308 0 obj +<< + /Type /StructElem + /S /TD + /P 307 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [149] + /Pg 625 0 R +>> +endobj + +309 0 obj +<< + /Type /StructElem + /S /TD + /P 307 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [148] + /Pg 625 0 R +>> +endobj + +310 0 obj +<< + /Type /StructElem + /S /TD + /P 307 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [147] + /Pg 625 0 R +>> +endobj + +311 0 obj +<< + /Type /StructElem + /S /TD + /P 307 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [146] + /Pg 625 0 R +>> +endobj + +312 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [316 0 R 315 0 R 314 0 R 313 0 R] +>> +endobj + +313 0 obj +<< + /Type /StructElem + /S /TD + /P 312 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [145] + /Pg 625 0 R +>> +endobj + +314 0 obj +<< + /Type /StructElem + /S /TD + /P 312 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [144] + /Pg 625 0 R +>> +endobj + +315 0 obj +<< + /Type /StructElem + /S /TD + /P 312 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [143] + /Pg 625 0 R +>> +endobj + +316 0 obj +<< + /Type /StructElem + /S /TD + /P 312 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [142] + /Pg 625 0 R +>> +endobj + +317 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [321 0 R 320 0 R 319 0 R 318 0 R] +>> +endobj + +318 0 obj +<< + /Type /StructElem + /S /TD + /P 317 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [141] + /Pg 625 0 R +>> +endobj + +319 0 obj +<< + /Type /StructElem + /S /TD + /P 317 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [140] + /Pg 625 0 R +>> +endobj + +320 0 obj +<< + /Type /StructElem + /S /TD + /P 317 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [139] + /Pg 625 0 R +>> +endobj + +321 0 obj +<< + /Type /StructElem + /S /TD + /P 317 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [138] + /Pg 625 0 R +>> +endobj + +322 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [326 0 R 325 0 R 324 0 R 323 0 R] +>> +endobj + +323 0 obj +<< + /Type /StructElem + /S /TD + /P 322 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [137] + /Pg 625 0 R +>> +endobj + +324 0 obj +<< + /Type /StructElem + /S /TD + /P 322 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [136] + /Pg 625 0 R +>> +endobj + +325 0 obj +<< + /Type /StructElem + /S /TD + /P 322 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [135] + /Pg 625 0 R +>> +endobj + +326 0 obj +<< + /Type /StructElem + /S /TD + /P 322 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [134] + /Pg 625 0 R +>> +endobj + +327 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [331 0 R 330 0 R 329 0 R 328 0 R] +>> +endobj + +328 0 obj +<< + /Type /StructElem + /S /TD + /P 327 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [133] + /Pg 625 0 R +>> +endobj + +329 0 obj +<< + /Type /StructElem + /S /TD + /P 327 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [132] + /Pg 625 0 R +>> +endobj + +330 0 obj +<< + /Type /StructElem + /S /TD + /P 327 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [131] + /Pg 625 0 R +>> +endobj + +331 0 obj +<< + /Type /StructElem + /S /TD + /P 327 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [130] + /Pg 625 0 R +>> +endobj + +332 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [336 0 R 335 0 R 334 0 R 333 0 R] +>> +endobj + +333 0 obj +<< + /Type /StructElem + /S /TD + /P 332 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [129] + /Pg 625 0 R +>> +endobj + +334 0 obj +<< + /Type /StructElem + /S /TD + /P 332 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [128] + /Pg 625 0 R +>> +endobj + +335 0 obj +<< + /Type /StructElem + /S /TD + /P 332 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [127] + /Pg 625 0 R +>> +endobj + +336 0 obj +<< + /Type /StructElem + /S /TD + /P 332 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [126] + /Pg 625 0 R +>> +endobj + +337 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [341 0 R 340 0 R 339 0 R 338 0 R] +>> +endobj + +338 0 obj +<< + /Type /StructElem + /S /TD + /P 337 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [125] + /Pg 625 0 R +>> +endobj + +339 0 obj +<< + /Type /StructElem + /S /TD + /P 337 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [124] + /Pg 625 0 R +>> +endobj + +340 0 obj +<< + /Type /StructElem + /S /TD + /P 337 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [123] + /Pg 625 0 R +>> +endobj + +341 0 obj +<< + /Type /StructElem + /S /TD + /P 337 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [122] + /Pg 625 0 R +>> +endobj + +342 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [343 0 R] +>> +endobj + +343 0 obj +<< + /Type /StructElem + /S /Strong + /P 342 0 R + /K [121] + /Pg 625 0 R +>> +endobj + +344 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (b): Solving the System) + /K [120] + /Pg 625 0 R +>> +endobj + +345 0 obj +<< + /Type /StructElem + /S /Code + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [358 0 R 357 0 R 356 0 R 355 0 R 354 0 R 353 0 R 352 0 R 351 0 R 350 0 R 349 0 R 348 0 R 347 0 R 346 0 R] +>> +endobj + +346 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [119] + /Pg 625 0 R +>> +endobj + +347 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [118] + /Pg 625 0 R +>> +endobj + +348 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [117] + /Pg 625 0 R +>> +endobj + +349 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [116] + /Pg 625 0 R +>> +endobj + +350 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [] +>> +endobj + +351 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [115] + /Pg 625 0 R +>> +endobj + +352 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [114] + /Pg 625 0 R +>> +endobj + +353 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [113] + /Pg 625 0 R +>> +endobj + +354 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [112] + /Pg 625 0 R +>> +endobj + +355 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [111] + /Pg 625 0 R +>> +endobj + +356 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [] +>> +endobj + +357 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [110] + /Pg 625 0 R +>> +endobj + +358 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [109] + /Pg 625 0 R +>> +endobj + +359 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [360 0 R] +>> +endobj + +360 0 obj +<< + /Type /StructElem + /S /Strong + /P 359 0 R + /K [108] + /Pg 625 0 R +>> +endobj + +361 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [372 0 R 367 0 R 362 0 R] +>> +endobj + +362 0 obj +<< + /Type /StructElem + /S /LI + /P 361 0 R + /K [366 0 R 363 0 R] +>> +endobj + +363 0 obj +<< + /Type /StructElem + /S /LBody + /P 362 0 R + /K [365 0 R 105 364 0 R 107] + /Pg 625 0 R +>> +endobj + +364 0 obj +<< + /Type /StructElem + /S /Formula + /P 363 0 R + /K [106] + /Pg 625 0 R +>> +endobj + +365 0 obj +<< + /Type /StructElem + /S /Formula + /P 363 0 R + /K [103 104] + /Pg 625 0 R +>> +endobj + +366 0 obj +<< + /Type /StructElem + /S /Lbl + /P 362 0 R + /K [102] + /Pg 625 0 R +>> +endobj + +367 0 obj +<< + /Type /StructElem + /S /LI + /P 361 0 R + /K [371 0 R 368 0 R] +>> +endobj + +368 0 obj +<< + /Type /StructElem + /S /LBody + /P 367 0 R + /K [370 0 R 97 369 0 R 101] + /Pg 625 0 R +>> +endobj + +369 0 obj +<< + /Type /StructElem + /S /Formula + /P 368 0 R + /K [98 99 100] + /Pg 625 0 R +>> +endobj + +370 0 obj +<< + /Type /StructElem + /S /Formula + /P 368 0 R + /K [95 96] + /Pg 625 0 R +>> +endobj + +371 0 obj +<< + /Type /StructElem + /S /Lbl + /P 367 0 R + /K [94] + /Pg 625 0 R +>> +endobj + +372 0 obj +<< + /Type /StructElem + /S /LI + /P 361 0 R + /K [376 0 R 373 0 R] +>> +endobj + +373 0 obj +<< + /Type /StructElem + /S /LBody + /P 372 0 R + /K [375 0 R 91 374 0 R 93] + /Pg 625 0 R +>> +endobj + +374 0 obj +<< + /Type /StructElem + /S /Formula + /P 373 0 R + /K [92] + /Pg 625 0 R +>> +endobj + +375 0 obj +<< + /Type /StructElem + /S /Formula + /P 373 0 R + /K [89 90] + /Pg 625 0 R +>> +endobj + +376 0 obj +<< + /Type /StructElem + /S /Lbl + /P 372 0 R + /K [88] + /Pg 625 0 R +>> +endobj + +377 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [87] + /Pg 625 0 R +>> +endobj + +378 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (a): Algorithm for Symmetric Tridiagonal System) + /K [86] + /Pg 625 0 R +>> +endobj + +379 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85] + /Pg 625 0 R +>> +endobj + +380 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [2] + /Pg 625 0 R +>> +endobj + +381 0 obj +<< + /Type /StructElem + /S /H1 + /P 29 0 R + /T (Symmetric Tridiagonal System (30%)) + /K [0 1] + /Pg 625 0 R +>> +endobj + +382 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [0 383 0 R 3 4] + /Pg 623 0 R +>> +endobj + +383 0 obj +<< + /Type /StructElem + /S /Formula + /P 382 0 R + /K [1 2] + /Pg 623 0 R +>> +endobj + +384 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [399 0 R 392 0 R 385 0 R] +>> +endobj + +385 0 obj +<< + /Type /StructElem + /S /LI + /P 384 0 R + /K [391 0 R 386 0 R] +>> +endobj + +386 0 obj +<< + /Type /StructElem + /S /LBody + /P 385 0 R + /K [390 0 R 686 389 0 R 693 388 0 R 698 387 0 R 704] + /Pg 621 0 R +>> +endobj + +387 0 obj +<< + /Type /StructElem + /S /Formula + /P 386 0 R + /K [699 700 701 702 703] + /Pg 621 0 R +>> +endobj + +388 0 obj +<< + /Type /StructElem + /S /Formula + /P 386 0 R + /K [694 695 696 697] + /Pg 621 0 R +>> +endobj + +389 0 obj +<< + /Type /StructElem + /S /Formula + /P 386 0 R + /K [687 688 689 690 691 692] + /Pg 621 0 R +>> +endobj + +390 0 obj +<< + /Type /StructElem + /S /Formula + /P 386 0 R + /K [684 685] + /Pg 621 0 R +>> +endobj + +391 0 obj +<< + /Type /StructElem + /S /Lbl + /P 385 0 R + /K [683] + /Pg 621 0 R +>> +endobj + +392 0 obj +<< + /Type /StructElem + /S /LI + /P 384 0 R + /K [398 0 R 393 0 R] +>> +endobj + +393 0 obj +<< + /Type /StructElem + /S /LBody + /P 392 0 R + /K [397 0 R 664 396 0 R 671 395 0 R 676 394 0 R 682] + /Pg 621 0 R +>> +endobj + +394 0 obj +<< + /Type /StructElem + /S /Formula + /P 393 0 R + /K [677 678 679 680 681] + /Pg 621 0 R +>> +endobj + +395 0 obj +<< + /Type /StructElem + /S /Formula + /P 393 0 R + /K [672 673 674 675] + /Pg 621 0 R +>> +endobj + +396 0 obj +<< + /Type /StructElem + /S /Formula + /P 393 0 R + /K [665 666 667 668 669 670] + /Pg 621 0 R +>> +endobj + +397 0 obj +<< + /Type /StructElem + /S /Formula + /P 393 0 R + /K [662 663] + /Pg 621 0 R +>> +endobj + +398 0 obj +<< + /Type /StructElem + /S /Lbl + /P 392 0 R + /K [661] + /Pg 621 0 R +>> +endobj + +399 0 obj +<< + /Type /StructElem + /S /LI + /P 384 0 R + /K [405 0 R 400 0 R] +>> +endobj + +400 0 obj +<< + /Type /StructElem + /S /LBody + /P 399 0 R + /K [404 0 R 640 403 0 R 648 402 0 R 656 401 0 R 660] + /Pg 621 0 R +>> +endobj + +401 0 obj +<< + /Type /StructElem + /S /Formula + /P 400 0 R + /K [657 658 659] + /Pg 621 0 R +>> +endobj + +402 0 obj +<< + /Type /StructElem + /S /Formula + /P 400 0 R + /K [649 650 651 652 653 654 655] + /Pg 621 0 R +>> +endobj + +403 0 obj +<< + /Type /StructElem + /S /Formula + /P 400 0 R + /K [641 642 643 644 645 646 647] + /Pg 621 0 R +>> +endobj + +404 0 obj +<< + /Type /StructElem + /S /Formula + /P 400 0 R + /K [638 639] + /Pg 621 0 R +>> +endobj + +405 0 obj +<< + /Type /StructElem + /S /Lbl + /P 399 0 R + /K [637] + /Pg 621 0 R +>> +endobj + +406 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [636] + /Pg 621 0 R +>> +endobj + +407 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Comparison) + /K [635] + /Pg 621 0 R +>> +endobj + +408 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634] + /Pg 621 0 R +>> +endobj + +409 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [410 0 R] +>> +endobj + +410 0 obj +<< + /Type /StructElem + /S /Strong + /P 409 0 R + /K [608] + /Pg 621 0 R +>> +endobj + +411 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [607] + /Pg 621 0 R +>> +endobj + +412 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (b): Three Significant Digits) + /K [606] + /Pg 621 0 R +>> +endobj + +413 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605] + /Pg 621 0 R +>> +endobj + +414 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [415 0 R] +>> +endobj + +415 0 obj +<< + /Type /StructElem + /S /Strong + /P 414 0 R + /K [575] + /Pg 621 0 R +>> +endobj + +416 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [425 0 R 421 0 R 417 0 R] +>> +endobj + +417 0 obj +<< + /Type /StructElem + /S /LI + /P 416 0 R + /K [420 0 R 418 0 R] +>> +endobj + +418 0 obj +<< + /Type /StructElem + /S /LBody + /P 417 0 R + /K [419 0 R] +>> +endobj + +419 0 obj +<< + /Type /StructElem + /S /Formula + /P 418 0 R + /K [527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574] + /Pg 621 0 R +>> +endobj + +420 0 obj +<< + /Type /StructElem + /S /Lbl + /P 417 0 R + /K [526] + /Pg 621 0 R +>> +endobj + +421 0 obj +<< + /Type /StructElem + /S /LI + /P 416 0 R + /K [424 0 R 422 0 R] +>> +endobj + +422 0 obj +<< + /Type /StructElem + /S /LBody + /P 421 0 R + /K [423 0 R] +>> +endobj + +423 0 obj +<< + /Type /StructElem + /S /Formula + /P 422 0 R + /K [484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525] + /Pg 621 0 R +>> +endobj + +424 0 obj +<< + /Type /StructElem + /S /Lbl + /P 421 0 R + /K [483] + /Pg 621 0 R +>> +endobj + +425 0 obj +<< + /Type /StructElem + /S /LI + /P 416 0 R + /K [428 0 R 426 0 R] +>> +endobj + +426 0 obj +<< + /Type /StructElem + /S /LBody + /P 425 0 R + /K [427 0 R] +>> +endobj + +427 0 obj +<< + /Type /StructElem + /S /Formula + /P 426 0 R + /K [456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482] + /Pg 621 0 R +>> +endobj + +428 0 obj +<< + /Type /StructElem + /S /Lbl + /P 425 0 R + /K [455] + /Pg 621 0 R +>> +endobj + +429 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [430 0 R] +>> +endobj + +430 0 obj +<< + /Type /StructElem + /S /Strong + /P 429 0 R + /K [454] + /Pg 621 0 R +>> +endobj + +431 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453] + /Pg 621 0 R +>> +endobj + +432 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [393] + /Pg 621 0 R +>> +endobj + +433 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [367 434 0 R] + /Pg 621 0 R +>> +endobj + +434 0 obj +<< + /Type /StructElem + /S /Formula + /P 433 0 R + /K [368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392] + /Pg 621 0 R +>> +endobj + +435 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [365 436 0 R] + /Pg 621 0 R +>> +endobj + +436 0 obj +<< + /Type /StructElem + /S /Strong + /P 435 0 R + /K [366] + /Pg 621 0 R +>> +endobj + +437 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [442 0 R 438 0 R] +>> +endobj + +438 0 obj +<< + /Type /StructElem + /S /LI + /P 437 0 R + /K [441 0 R 439 0 R] +>> +endobj + +439 0 obj +<< + /Type /StructElem + /S /LBody + /P 438 0 R + /K [345 440 0 R] + /Pg 621 0 R +>> +endobj + +440 0 obj +<< + /Type /StructElem + /S /Formula + /P 439 0 R + /K [346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364] + /Pg 621 0 R +>> +endobj + +441 0 obj +<< + /Type /StructElem + /S /Lbl + /P 438 0 R + /K [344] + /Pg 621 0 R +>> +endobj + +442 0 obj +<< + /Type /StructElem + /S /LI + /P 437 0 R + /K [445 0 R 443 0 R] +>> +endobj + +443 0 obj +<< + /Type /StructElem + /S /LBody + /P 442 0 R + /K [325 444 0 R] + /Pg 621 0 R +>> +endobj + +444 0 obj +<< + /Type /StructElem + /S /Formula + /P 443 0 R + /K [326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343] + /Pg 621 0 R +>> +endobj + +445 0 obj +<< + /Type /StructElem + /S /Lbl + /P 442 0 R + /K [324] + /Pg 621 0 R +>> +endobj + +446 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [323] + /Pg 621 0 R +>> +endobj + +447 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [448 0 R] +>> +endobj + +448 0 obj +<< + /Type /StructElem + /S /Strong + /P 447 0 R + /K [322] + /Pg 621 0 R +>> +endobj + +449 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321] + /Pg 621 0 R +>> +endobj + +450 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [256] + /Pg 621 0 R +>> +endobj + +451 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [213 453 0 R 234 452 0 R] + /Pg 621 0 R +>> +endobj + +452 0 obj +<< + /Type /StructElem + /S /Formula + /P 451 0 R + /K [235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255] + /Pg 621 0 R +>> +endobj + +453 0 obj +<< + /Type /StructElem + /S /Formula + /P 451 0 R + /K [214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233] + /Pg 621 0 R +>> +endobj + +454 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [212] + /Pg 621 0 R +>> +endobj + +455 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [464 0 R 460 0 R 456 0 R] +>> +endobj + +456 0 obj +<< + /Type /StructElem + /S /LI + /P 455 0 R + /K [459 0 R 457 0 R] +>> +endobj + +457 0 obj +<< + /Type /StructElem + /S /LBody + /P 456 0 R + /K [195 458 0 R] + /Pg 621 0 R +>> +endobj + +458 0 obj +<< + /Type /StructElem + /S /Formula + /P 457 0 R + /K [196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211] + /Pg 621 0 R +>> +endobj + +459 0 obj +<< + /Type /StructElem + /S /Lbl + /P 456 0 R + /K [194] + /Pg 621 0 R +>> +endobj + +460 0 obj +<< + /Type /StructElem + /S /LI + /P 455 0 R + /K [463 0 R 461 0 R] +>> +endobj + +461 0 obj +<< + /Type /StructElem + /S /LBody + /P 460 0 R + /K [177 462 0 R] + /Pg 621 0 R +>> +endobj + +462 0 obj +<< + /Type /StructElem + /S /Formula + /P 461 0 R + /K [178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193] + /Pg 621 0 R +>> +endobj + +463 0 obj +<< + /Type /StructElem + /S /Lbl + /P 460 0 R + /K [176] + /Pg 621 0 R +>> +endobj + +464 0 obj +<< + /Type /StructElem + /S /LI + /P 455 0 R + /K [467 0 R 465 0 R] +>> +endobj + +465 0 obj +<< + /Type /StructElem + /S /LBody + /P 464 0 R + /K [159 466 0 R] + /Pg 621 0 R +>> +endobj + +466 0 obj +<< + /Type /StructElem + /S /Formula + /P 465 0 R + /K [160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175] + /Pg 621 0 R +>> +endobj + +467 0 obj +<< + /Type /StructElem + /S /Lbl + /P 464 0 R + /K [158] + /Pg 621 0 R +>> +endobj + +468 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [157] + /Pg 621 0 R +>> +endobj + +469 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [470 0 R] +>> +endobj + +470 0 obj +<< + /Type /StructElem + /S /Strong + /P 469 0 R + /K [156] + /Pg 621 0 R +>> +endobj + +471 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [480 0 R 476 0 R 472 0 R] +>> +endobj + +472 0 obj +<< + /Type /StructElem + /S /LI + /P 471 0 R + /K [475 0 R 473 0 R] +>> +endobj + +473 0 obj +<< + /Type /StructElem + /S /LBody + /P 472 0 R + /K [474 0 R] +>> +endobj + +474 0 obj +<< + /Type /StructElem + /S /Formula + /P 473 0 R + /K [125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155] + /Pg 621 0 R +>> +endobj + +475 0 obj +<< + /Type /StructElem + /S /Lbl + /P 472 0 R + /K [124] + /Pg 621 0 R +>> +endobj + +476 0 obj +<< + /Type /StructElem + /S /LI + /P 471 0 R + /K [479 0 R 477 0 R] +>> +endobj + +477 0 obj +<< + /Type /StructElem + /S /LBody + /P 476 0 R + /K [478 0 R] +>> +endobj + +478 0 obj +<< + /Type /StructElem + /S /Formula + /P 477 0 R + /K [92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123] + /Pg 621 0 R +>> +endobj + +479 0 obj +<< + /Type /StructElem + /S /Lbl + /P 476 0 R + /K [91] + /Pg 621 0 R +>> +endobj + +480 0 obj +<< + /Type /StructElem + /S /LI + /P 471 0 R + /K [483 0 R 481 0 R] +>> +endobj + +481 0 obj +<< + /Type /StructElem + /S /LBody + /P 480 0 R + /K [482 0 R] +>> +endobj + +482 0 obj +<< + /Type /StructElem + /S /Formula + /P 481 0 R + /K [59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90] + /Pg 621 0 R +>> +endobj + +483 0 obj +<< + /Type /StructElem + /S /Lbl + /P 480 0 R + /K [58] + /Pg 621 0 R +>> +endobj + +484 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [485 0 R] +>> +endobj + +485 0 obj +<< + /Type /StructElem + /S /Strong + /P 484 0 R + /K [57] + /Pg 621 0 R +>> +endobj + +486 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (a): Six Significant Digits) + /K [56] + /Pg 621 0 R +>> +endobj + +487 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55] + /Pg 621 0 R +>> +endobj + +488 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [2] + /Pg 621 0 R +>> +endobj + +489 0 obj +<< + /Type /StructElem + /S /H1 + /P 29 0 R + /T (Scaled Partial Pivoting (25%)) + /K [0 1] + /Pg 621 0 R +>> +endobj + +490 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [491 0 R 210] + /Pg 619 0 R +>> +endobj + +491 0 obj +<< + /Type /StructElem + /S /Strong + /P 490 0 R + /K [209] + /Pg 619 0 R +>> +endobj + +492 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208] + /Pg 619 0 R +>> +endobj + +493 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Solution) + /K [161] + /Pg 619 0 R +>> +endobj + +494 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [507 0 R 503 0 R 499 0 R 495 0 R] +>> +endobj + +495 0 obj +<< + /Type /StructElem + /S /LI + /P 494 0 R + /K [498 0 R 496 0 R] +>> +endobj + +496 0 obj +<< + /Type /StructElem + /S /LBody + /P 495 0 R + /K [497 0 R] +>> +endobj + +497 0 obj +<< + /Type /StructElem + /S /Formula + /P 496 0 R + /K [103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160] + /Pg 619 0 R +>> +endobj + +498 0 obj +<< + /Type /StructElem + /S /Lbl + /P 495 0 R + /K [102] + /Pg 619 0 R +>> +endobj + +499 0 obj +<< + /Type /StructElem + /S /LI + /P 494 0 R + /K [502 0 R 500 0 R] +>> +endobj + +500 0 obj +<< + /Type /StructElem + /S /LBody + /P 499 0 R + /K [501 0 R] +>> +endobj + +501 0 obj +<< + /Type /StructElem + /S /Formula + /P 500 0 R + /K [59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101] + /Pg 619 0 R +>> +endobj + +502 0 obj +<< + /Type /StructElem + /S /Lbl + /P 499 0 R + /K [58] + /Pg 619 0 R +>> +endobj + +503 0 obj +<< + /Type /StructElem + /S /LI + /P 494 0 R + /K [506 0 R 504 0 R] +>> +endobj + +504 0 obj +<< + /Type /StructElem + /S /LBody + /P 503 0 R + /K [505 0 R] +>> +endobj + +505 0 obj +<< + /Type /StructElem + /S /Formula + /P 504 0 R + /K [26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57] + /Pg 619 0 R +>> +endobj + +506 0 obj +<< + /Type /StructElem + /S /Lbl + /P 503 0 R + /K [25] + /Pg 619 0 R +>> +endobj + +507 0 obj +<< + /Type /StructElem + /S /LI + /P 494 0 R + /K [510 0 R 508 0 R] +>> +endobj + +508 0 obj +<< + /Type /StructElem + /S /LBody + /P 507 0 R + /K [509 0 R] +>> +endobj + +509 0 obj +<< + /Type /StructElem + /S /Formula + /P 508 0 R + /K [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24] + /Pg 619 0 R +>> +endobj + +510 0 obj +<< + /Type /StructElem + /S /Lbl + /P 507 0 R + /K [0] + /Pg 619 0 R +>> +endobj + +511 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [512 0 R] +>> +endobj + +512 0 obj +<< + /Type /StructElem + /S /Strong + /P 511 0 R + /K [384] + /Pg 617 0 R +>> +endobj + +513 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383] + /Pg 617 0 R +>> +endobj + +514 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [344] + /Pg 617 0 R +>> +endobj + +515 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [323 516 0 R] + /Pg 617 0 R +>> +endobj + +516 0 obj +<< + /Type /StructElem + /S /Formula + /P 515 0 R + /K [324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343] + /Pg 617 0 R +>> +endobj + +517 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322] + /Pg 617 0 R +>> +endobj + +518 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [285] + /Pg 617 0 R +>> +endobj + +519 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [522 0 R 268 521 0 R 283 520 0 R] + /Pg 617 0 R +>> +endobj + +520 0 obj +<< + /Type /StructElem + /S /Strong + /P 519 0 R + /K [284] + /Pg 617 0 R +>> +endobj + +521 0 obj +<< + /Type /StructElem + /S /Formula + /P 519 0 R + /K [269 270 271 272 273 274 275 276 277 278 279 280 281 282] + /Pg 617 0 R +>> +endobj + +522 0 obj +<< + /Type /StructElem + /S /Strong + /P 519 0 R + /K [267] + /Pg 617 0 R +>> +endobj + +523 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266] + /Pg 617 0 R +>> +endobj + +524 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [229] + /Pg 617 0 R +>> +endobj + +525 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [198 527 0 R 215 526 0 R] + /Pg 617 0 R +>> +endobj + +526 0 obj +<< + /Type /StructElem + /S /Formula + /P 525 0 R + /K [216 217 218 219 220 221 222 223 224 225 226 227 228] + /Pg 617 0 R +>> +endobj + +527 0 obj +<< + /Type /StructElem + /S /Formula + /P 525 0 R + /K [199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214] + /Pg 617 0 R +>> +endobj + +528 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [531 0 R 175 530 0 R 181 529 0 R 197] + /Pg 617 0 R +>> +endobj + +529 0 obj +<< + /Type /StructElem + /S /Formula + /P 528 0 R + /K [182 183 184 185 186 187 188 189 190 191 192 193 194 195 196] + /Pg 617 0 R +>> +endobj + +530 0 obj +<< + /Type /StructElem + /S /Formula + /P 528 0 R + /K [176 177 178 179 180] + /Pg 617 0 R +>> +endobj + +531 0 obj +<< + /Type /StructElem + /S /Strong + /P 528 0 R + /K [174] + /Pg 617 0 R +>> +endobj + +532 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173] + /Pg 617 0 R +>> +endobj + +533 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [129] + /Pg 617 0 R +>> +endobj + +534 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [100 537 0 R 106 536 0 R 118 535 0 R] + /Pg 617 0 R +>> +endobj + +535 0 obj +<< + /Type /StructElem + /S /Formula + /P 534 0 R + /K [119 120 121 122 123 124 125 126 127 128] + /Pg 617 0 R +>> +endobj + +536 0 obj +<< + /Type /StructElem + /S /Formula + /P 534 0 R + /K [107 108 109 110 111 112 113 114 115 116 117] + /Pg 617 0 R +>> +endobj + +537 0 obj +<< + /Type /StructElem + /S /Formula + /P 534 0 R + /K [101 102 103 104 105] + /Pg 617 0 R +>> +endobj + +538 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [541 0 R 77 540 0 R 83 539 0 R 99] + /Pg 617 0 R +>> +endobj + +539 0 obj +<< + /Type /StructElem + /S /Formula + /P 538 0 R + /K [84 85 86 87 88 89 90 91 92 93 94 95 96 97 98] + /Pg 617 0 R +>> +endobj + +540 0 obj +<< + /Type /StructElem + /S /Formula + /P 538 0 R + /K [78 79 80 81 82] + /Pg 617 0 R +>> +endobj + +541 0 obj +<< + /Type /StructElem + /S /Strong + /P 538 0 R + /K [76] + /Pg 617 0 R +>> +endobj + +542 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75] + /Pg 617 0 R +>> +endobj + +543 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [544 0 R] +>> +endobj + +544 0 obj +<< + /Type /StructElem + /S /Strong + /P 543 0 R + /K [48] + /Pg 617 0 R +>> +endobj + +545 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Solution Process) + /K [47] + /Pg 617 0 R +>> +endobj + +546 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46] + /Pg 617 0 R +>> +endobj + +547 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [6] + /Pg 617 0 R +>> +endobj + +548 0 obj +<< + /Type /StructElem + /S /H1 + /P 29 0 R + /T (Gaussian Elimination with Partial Pivoting (15%)) + /K [4 5] + /Pg 617 0 R +>> +endobj + +549 0 obj +<< + /Type /StructElem + /S /Div + /P 29 0 R + /K [550 0 R] +>> +endobj + +550 0 obj +<< + /Type /StructElem + /S /Div + /P 549 0 R + /K [552 0 R 551 0 R] +>> +endobj + +551 0 obj +<< + /Type /StructElem + /S /Link + /P 550 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 << + /Type /OBJR + /Pg 617 0 R + /Obj 616 0 R + >>] + /Pg 617 0 R +>> +endobj + +552 0 obj +<< + /Type /StructElem + /S /Span + /P 550 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1 2] + /Pg 617 0 R +>> +endobj + +553 0 obj +<< + /Type /StructElem + /S /Span + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 617 0 R +>> +endobj + +554 0 obj +<< + /Type /PageLabel + /S /D + /St 1 +>> +endobj + +555 0 obj +<< + /Type /PageLabel + /S /D + /St 2 +>> +endobj + +556 0 obj +<< + /Type /PageLabel + /S /D + /St 3 +>> +endobj + +557 0 obj +<< + /Type /PageLabel + /S /D + /St 4 +>> +endobj + +558 0 obj +<< + /Type /PageLabel + /S /D + /St 5 +>> +endobj + +559 0 obj +<< + /Type /PageLabel + /S /D + /St 6 +>> +endobj + +560 0 obj +<< + /Type /PageLabel + /S /D + /St 7 +>> +endobj + +561 0 obj +<< + /Type /PageLabel + /S /D + /St 8 +>> +endobj + +562 0 obj +<< + /Type /Font + /Subtype /Type0 + /BaseFont /BVRPHB+LibertinusSerif-Regular-Identity-H + /Encoding /Identity-H + /DescendantFonts [563 0 R] + /ToUnicode 566 0 R +>> +endobj + +563 0 obj +<< + /Type /Font + /Subtype /CIDFontType0 + /BaseFont /BVRPHB+LibertinusSerif-Regular + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 565 0 R + /DW 0 + /W [0 0 500 1 1 699 2 2 531 3 3 790 4 4 447 5 5 372 6 6 271 7 7 428 8 8 457 9 9 264 10 10 250 11 11 839 12 12 316 13 13 538 14 14 504 15 15 505.99997 16 16 390 17 17 695 18 18 500 19 19 542 20 20 465 21 21 575 22 22 338 23 23 597 24 24 485 25 25 646 26 26 661 27 27 497 28 28 515 29 29 895 30 30 220 31 31 747 32 32 310 33 33 493 34 34 685 35 35 519 36 36 236 37 37 512 38 38 465 39 39 220 40 40 596 41 41 351 42 42 465 43 43 587 44 44 236 45 45 485 46 46 582 47 48 298 49 49 560 50 50 465 51 51 490 52 52 701 53 53 730 54 54 465 55 55 550 56 57 465 58 58 503.00003 59 60 550 61 61 829 62 62 702 63 63 297 64 66 465 67 67 749 68 68 588 69 69 322] +>> +endobj + +564 0 obj +<< + /Length 13 + /Filter /FlateDecode +>> +stream +x, +endstream +endobj + +565 0 obj +<< + /Type /FontDescriptor + /FontName /BVRPHB+LibertinusSerif-Regular + /Flags 131078 + /FontBBox [-68 -238 839 708] + /ItalicAngle 0 + /Ascent 894 + /Descent -246 + /CapHeight 658 + /StemV 95.4 + /CIDSet 564 0 R + /FontFile3 567 0 R +>> +endobj + +566 0 obj +<< + /Length 1592 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +69 beginbfchar +<0001> <004E> +<0002> <0075> +<0003> <006D> +<0004> <0065> +<0005> <0072> +<0006> <0069> +<0007> <0063> +<0008> <0061> +<0009> <006C> +<000A> <0020> +<000B> <004D> +<000C> <0074> +<000D> <0068> +<000E> <006F> +<000F> <0064> +<0010> <0073> +<0011> <0041> +<0012> <0067> +<0013> <006E> +<0014> <0032> +<0015> <0059> +<0016> <002D> +<0017> <0054> +<0018> <0053> +<0019> <0043> +<001A> <0055> +<001B> <0076> +<001C> <0079> +<001D> <0040> +<001E> <002E> +<001F> <0077> +<0020> <0066> +<0021> <0062> +<0022> <0047> +<0023> <0070> +<0024> <003A> +<0025> <006B> +<0026> <0031> +<0027> <002C> +<0028> <00660074> +<0029> <2022> +<002A> <0033> +<002B> <0052> +<002C> <003B> +<002D> <0046> +<002E> <00660066> +<002F> <0028> +<0030> <0029> +<0031> <00660069> +<0032> <0034> +<0033> <0078> +<0034> <0044> +<0035> <0048> +<0036> <0030> +<0037> <2212> +<0038> <0035> +<0039> <0036> +<003A> <0071> +<003B> <002B> +<003C> <003D> +<003D> <006600660069> +<003E> <004F> +<003F> <0049> +<0040> <0038> +<0041> <0037> +<0042> <0039> +<0043> <2026> +<0044> <0042> +<0045> <004A> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +567 0 obj +<< + /Length 7745 + /Filter /FlateDecode + /Subtype /CIDFontType0C +>> +stream +xyxb"z͸03T "EAiRI B e7=NH!!TUxx_ $ɳٝ3sO#<<==}VF$$E$'I}m]HXr%,>MϏ GzPZѼD|s~yϑ<>IߌX<8$&)")uQl\jBDXxҸoӧ1Ӧ!L J 9)<6!q"|Ԑ.j%q{τM\>jI&};yG~^009l Aqyh+y`&E"X +Z +/E+2cHt]Bc5xYi6)A=dҖ*Lip[LvIr!ÏVq2칲"(lBY3(J'1;FOztc,嬼P5 $I;{ؑb[׏CTYҲ2:F'X"EmdL:>RVTl2i& +x?x5ZR+I%Ag +c"گ^cȗ&w'ћnS_v$hoIͲHHEz?a0~5oh9D$^DQu +A]GxsTaZf(~F fKlni,%Qh!oNWE*ZQ`']1zѤ-U 28ih՞L4%/brl! mng*e&RV(5V~,nvS֝_Ti_0Naӳb~GYEGp(pfZ8ѫ|!T3q`JmS>ʇBMd*Ep_z˅PBW*m|WZ5zii뇫ؘ**Ed}AXK͎B|wEUV#8rň PC]n֊b/яr6Ԓ> ;ק) 8'QV:pv9ծ6H Wqu///*SZ.#1gblb"%@ӳ;+ʚc1Ix?8}(ʭ[K㧣 Hxn:x-,m bG8 >ZKeuM %q_!Of1ts/`»{Ι.ё4L5&;^LCZY"J⒍K9X\ȒV /K!QXbsrKm{iDžbJڊEشboo@ -QVw[Nv攡EKUz M +I=h4G+.L# o`|mZL SS1RڠQ46<VN#כrL`(J+@2i&Y=o{ *dh:]\]&)Gq~ VgP$IWd*(,5?[%U˳f stBO`.4 BXcSOY3QRlb]\4^͑6)Ѩq s?)>,-NlYt5EZ&*3.'Ҭk>]` ]5MN7BAf 6K٧=[oW+N>80Nپ1uzmo\@(v%_x]4 yubx_YzKJf6~0<7 AjKSۮ?6v3GlO59 +,$H ?\$VT JO |Ϝk/:kK*/]/hԩ/;bOa%, Ha~N\g1F53%߳GHiw,=kv ]eGr%Mdcv}q=(MĂe+:.F-P NεKݒ} +>0 +_5Nˎ{a/ɜ\PN@zWFinm`C> g|dq,8WE+v T2Nn o5r@T"Y#=%.jugX [aK1⢢Ҕxx +;_jɎ,>gQUqVf؅ib3 p +<2*bɺP4 5AN )$bJLB*JL{bj($/02].1Jva:`Pm/Vtz5՜Ȍy#.]Eu=/5W8ukJ[OOh;6d꡻뇀~<߄XBXqzοER՚!2aZEG LqhKK&ĔG߲>k釔`k>pu7a-16\(*N--)*hL3טV ^Qp'I>\C.XnOy1C\ۣ#aCr{m1K'%h i[ᾶ}pm;YC J5Nӛy_?+/ݚ9^ SPXC()J˱.:))5,٧. +P2ć>{ CGatDIW]_ cPOQ^#7;M9wl3n{XO3^( +z !QW尩lR +rR&ifcg'YoI[SYƽ?1+5;=t;h;@^wY\qiԇPTۥ$|A;̕ʏF[j0-M=%҆,xdװv?JhY+B0} 7oEPG.N޾s5m%XJA* -|DUm^VOih8v7sN-ŦkC}[jy i2VKU% 7=R᷷;nJIBxiTSUxs Ա#U ̪*nRwIF-iQRWM`)U^qz޼lj~-Jo9.TQOs?`ޕBѡ~.D[mCqDЈ w-Kp:4OzgA)[6IVj._.hH:~X5z?x0l*4S0>.g8db:`l|x݁4SXP[娹?%{ +:MNc}cwuP<])>{Ň)@~(DE1Aer5pPUMK2e *Ɉ)ml4 GZWûa욄rAh6;M{ȣ`0nR&r*x!.Ha$Aeo}_>RGskyRnN0.VhidV'wUқQ2HUx+Nt6*ˆ4(; Ye]82c_“==TmMIB()y6aLybuuyyuubyLLbb )*L; GQ鰐8&~0JtA|2MZLfB gP1pG?\!tt^TIc2B>6ttlIGx9Sݔ>z?+RCgՍ )]LA~Es͐(^zg}\a{ԎrgMAvxjg%"QU!ޚMxa-rg|o뙖w +]-uE,oP~7*˒BBⰒ=&1өL1UdY-Vä)kď0gFQ(k5q{ˈm֫Q +1z^k'0F9 p.;h.ZƠ8 0NőӔĪq m(V0:(rRISQ5ޮe +_M X\ |:{V%e:QWْ~o[ZA8AtWܢFrig`p?=z=]<׃/@TFQG.ln:;Ǿ7Eo"~Bm|Pa]eGM5qỏF R)qԀRՑG +Ч{{^gqAψ?n',N}X%7aLž1o?9z'{&Σmj{UH??ŧ:ؑdՌFO0eLIm-]2haH0Ĺ2 Fܠ 䭯j--C&BBwH.NOINNQGv?U`^{Be/huyGc\ҨѪ f$U/(3 +f)LG40?R@7XH1^?#JFUJTP¶m":YN:o"{}01n?lDz` a#Ay} kiZCkJJuZBVBma>NLrKY^>QI Q_Z +Shk-}W"q'Pe͖<F.o[btHh!8x4'zzNYo%).g;;Òna?.%~^ʤ8"m.9|!qq~ET4!&DkqGaԽs?QE^F^XA%n"Ћ;_̴ g)Ո.5k.ZqFR+ZZݶ(_3(, x +yC(-ia.~֝0 0[G!:;Lvjg:Nz߰n{X^WYعd4=8eRՎOyߌ߅n?%"鴸\ Z b_cIIQuwt w1LL"BߠVgILe܃>{"hI +l͸u4&~uN ku\n}ہ6!&Ԥ{G/i7y24SlD6[$?usAmyv\".^-E.F| Ϳi`\tݐ Yn/Tʛ-Qc\umtp?A0:X!+TL^)mE vJl+ saJ(෉zpC0ZFtlBO 8H HMn0|4jT4z޻f0 +Ua)9|gR^EG zwꛇg:Cv73N{B%/v! +gC;[۬gWT(Uy漎&3^n  it47=V[ "M'^^~æ2I(4Z|)8` n.o sЛ06zf"̇7a̴;AGGGa**&|rZcBA~pdM55Utp$ 3N|cqh\ztͮw d6o2zɽҵ_;ˍ C +p7OѱUvub|Rc Ey:˻/+ _1ej~= @j6P7hGl>o?D}h;zj3?ERRG +`q.Fu/ɼƳCq G?3h&fos k>ij?3Ʈ?\(=oBM/H +/ÓAwww/F-/mb\̈́BXX8=!]2ӏEJL{7>N T <.b@$mRJ1X)tI= p6vZ᫛_UQAf勈4q[_n2y*Us9:eQZ)riQUn$Btp*rJz ĩpя=]^0 +|uw9FU;_(j;80 `7nlɌ&ea2)$Yf[Vs{ujJ7 <^]r KI]JU-]֝"z &qlֶ;נaI!#.4^*̒Iqt:v^xPX[͞섲 bOw{]*D3Pr`ǕY\ 3-Pbϵ 9Ҥ,Rwg{ sfǢpҫҝ_^?2l~DL1t2.W30Lwj{!WHK>T'z݄%p:[̤((--*m o +lAqv"+9 Wd;M؉^fqt{럲v ]aJ^ND!'0MH2is:򉊊p%XS+ DN($m` zݟ +_!MZ6"60= Vg}dspt :+zmGKgM@\$@< (?9/X'JGnajg3 ]tcw';?gϳs{W['XUndĥ&$Ҷރ1'^:г\tt$Fs/&Tg,xHViI첅*q{*l;k񎺦`]T!bNyObq0Rh;hRE5y}6ʱ2-YB@nfHԴVM59jmgXܕ2L8t¸i+^@c7 2C~Տk"l֬y\e%6##4bJnxbo#{ɚ8E %M2q c<&pipZy}H H P6z ~Dp_Mц>b罱0v5zcxDvC'aljW2NO Dtcd@md6啇eb#S2rҡ&ѢԲZK}+ X +endstream +endobj + +568 0 obj +<< + /Type /Font + /Subtype /Type0 + /BaseFont /ZMKXNU+LibertinusSerif-Bold-Identity-H + /Encoding /Identity-H + /DescendantFonts [569 0 R] + /ToUnicode 572 0 R +>> +endobj + +569 0 obj +<< + /Type /Font + /Subtype /CIDFontType0 + /BaseFont /ZMKXNU+LibertinusSerif-Bold + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 571 0 R + /DW 0 + /W [0 0 500 1 1 740 2 2 598 3 3 905 4 4 489 5 5 428 6 6 322 7 7 456 8 8 505.99997 9 9 325 10 10 250 11 11 899 12 12 358 13 13 619 14 14 551 15 15 561 16 16 427 17 17 740 18 18 521 19 19 616 20 20 514 21 21 367 22 22 561 23 23 256 24 24 504 25 25 581 26 26 514 27 27 358 28 28 706 29 29 514 30 30 716 31 31 777 32 32 573 33 33 514 34 34 244 35 35 654 36 36 613 37 37 542 38 38 391 39 39 315 40 40 514 41 41 641 42 42 315 43 43 652 44 44 558 45 45 545 46 46 609 47 47 730 48 48 529 49 49 373 50 50 688 51 51 514 52 52 732] +>> +endobj + +570 0 obj +<< + /Length 13 + /Filter /FlateDecode +>> +stream +x~ +endstream +endobj + +571 0 obj +<< + /Type /FontDescriptor + /FontName /ZMKXNU+LibertinusSerif-Bold + /Flags 131078 + /FontBBox [-70 -238 893 720] + /ItalicAngle 0 + /Ascent 894 + /Descent -246 + /CapHeight 645 + /StemV 168.6 + /CIDSet 570 0 R + /FontFile3 573 0 R +>> +endobj + +572 0 obj +<< + /Length 1342 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +52 beginbfchar +<0001> <004E> +<0002> <0075> +<0003> <006D> +<0004> <0065> +<0005> <0072> +<0006> <0069> +<0007> <0063> +<0008> <0061> +<0009> <006C> +<000A> <0020> +<000B> <004D> +<000C> <0074> +<000D> <0068> +<000E> <006F> +<000F> <0064> +<0010> <0073> +<0011> <0041> +<0012> <0067> +<0013> <006E> +<0014> <0032> +<0015> <0049> +<0016> <0078> +<0017> <003A> +<0018> <0053> +<0019> <0070> +<001A> <0031> +<001B> <002D> +<001C> <0043> +<001D> <0033> +<001E> <0052> +<001F> <0077> +<0020> <0071> +<0021> <0034> +<0022> <002E> +<0023> <0042> +<0024> <006B> +<0025> <0062> +<0026> <0066> +<0027> <0028> +<0028> <0036> +<0029> <00660069> +<002A> <0029> +<002B> <0054> +<002C> <0079> +<002D> <0046> +<002E> <0045> +<002F> <004F> +<0030> <0076> +<0031> <004A> +<0032> <00660074> +<0033> <0037> +<0034> <0047> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +573 0 obj +<< + /Length 5972 + /Filter /FlateDecode + /Subtype /CIDFontType0C +>> +stream +xYyxՖ&FSTUXQDAȢBY!Yh'IzY IBB(QsApQ)2|9~Usﹿss˙8r7b#$ɩi)oJc濒p8bK3 /̡ ;W_Bgp8'>p<8믾C)62!B)Rx5!Qn_pы;c$t +ܖpH"N \Ùr田JKJjQ^??#DEL ţ?_{vZ4_x{v!=A0Ӿ0^ك>[:gM + +yI{Ow[ +8>5fYAv 9[i\l&.fRۄ{%s0Lf Vlj.B,E7Rӝ3bmI[KX"f}uWnXn)c}gߝ{}o +&j/.0|sk""@:͎2Zԫ +ܫK߇-8|aʩ!\"R0r&=a1CK E2**9^AÒ2F,1ߗWh Ϯ>jl9CM"hהγcM_ wYs&Dp\ +/)]~?6 ajZVjRKy{x-f}hf  +j +*8^|jW#=d3bvxqDtMj].fYd*(kC^m3r[5-rТ2_!D]yځD$v}p`Į\ xy_tb%_cu~yzƮB [Gұɱ[?K4e* +j(wI/ z=-B"L>x[ё#(kn;>슯b}y.%M'l;S;2~$Rjw[&?zfs(:/"yv3ABUg><~=L0 <^CtVa}֞cUt2M]6@`6f/j\ +xpSBqZg[]U16J;MNa^|*FoYƯ$6tDxeU8 +ȓ3dxfcsb5-B岛~??`8O`C{v(QQ9/r<9@Ш~,XE<~67n!n]5l 0~kljc[5ά.Оo3Ў[x>z݆c1)X#0@Csw&c,toMVMuTֱSx>R +EjisX il=Ax # 0A9vͦ#c0hZ㈭TPmy5 tږT^[A?"~;K-Y`љ4vM<s +V[A+ y‚,Pm# @#Pir)LG/_Evyѓ+Z~ܔbRN`w 㿁F}4`KOƓG%B~Nv{x_ЧPD.7c{Z:` +ؕHT7[k2]Y(lvPdNrw\*SSsr;Ӕ%RER21l_G2*Üdh"һc9g̰-Oay%V|,u--g$FMbwmn=ʴ߳qBX@^fPL n9ifܗ)3vv (r~ƺh'5Jl?OcNFT##(o}D9ǙIa'YjaxҁJ"8>J<'$Ru\\OEg גDSQgVUV2$==>FOn岛˹5W l~)NRҜja񒱫CwfRل; +JeL32bZw]]v!,WB0X]?b5͚ ]R.Fs+'a*ae-/l\N@|.ߖ3CFڦw +i4ma_dm% P(g63;'[(n"̬5h3Gd8=Ͱ +c +a[UPq4,9{uu[::Mbq44&ګjvc_7<eߜwa۲bQq 8o˕q>iMbox֍FMNa mV0 C.f9Pet[sK;ɴָcT7#+u'OnЗ 6QZCC8.8CP R=w ;x0I[U!GeDvҭ1!Gb1oUN4? VQ^RMvIK濘lOEz7{e +jzYox~@[TJmn*5ᵔŒRT,iCht^l8x|~ޝ}or;@W;hʗ%G(sKT5Nvsa +~C,%_^"i=LX` +P//"d~ވօ(-GSQn4w?Q^'E*{䅀c_}T޺y](*MGHlG ^Kպ#ʪ("I)+ʬʥm$Lk@znƾ~I'K4:1Ȳ)nQoynRKUltx^ 09 #K| n=%RI^XsdII[ +r]ZIL❪/DW-TU΢55kӗRᰏ~u )HD !cNb Z5$I4e\4K,W/GʋZ[.G aBzG4w g (<~@ 4ڛ3p1 ?:C.iݳpW|s Ij<#CX( + K1.~k%AQ@H#&OlGalߨbKaoEgnX`v̇$$؏,05mgQگ uN:!%,I0eIg0Z./tqH4z:8/:ŋR +an~e _ ~9Uy2v;%e^ s +;-.%ERG0mU >0 &Ftw>nY< {~IGqxձ*s596wyO-NEO2=ܟE9tXҩ9C|]UdRRG]ryxOQؐy\/ӉDEwC!Byh6aVrL5mHp$ Z7MGh L"U9@󸹘)w'kWo$5@`af &g$i{D[cf!jAJSyaCHFW "Zmr!6h0]Чq}mƁ$r:^>=XuRqj'[z[C%-2aGdb2iG4cɴA~ @-`{5LIy- @rȅ&!".jtfB͎u~P;죂wmTϞU.hqX{A$+4M bf%cdYBzֆvj.>=O۝Q[[`R- O=?<%zYQOOmg"lE Zm8V0L,mljn_LfLBLbGZt-(#12Zc45.1ѱ* @Ycњ%LuV΀9۫YHIZ<ۜȥsb+Ά +(_>(X^fǮ[,+O36uf[ MDmlԶZS'H U[C}s]*X_brZe]O]hb: +S3)$4ΥYFܚ[#l$5x}9츫0vr_\)Dm%k5)qJ v8G@@[.lilUy؛9zʔ 0T"X򰗽gH`93^ ۩=[=OzVwNS#g?@C_BЊh4a pa_rܩl 0c৴i+[nsFG\bbvZCO-N-q',s0_ǯQ1 CLDdMϪ܅H@~;< +<~`\@2Kߜ]txzcP Cж`l;ܧi7HwiCc/G V PFvj6N+&\T +&˻`)|UI=9R9LUKjiQQS-ϣ,P]޳=Fpt +endstream +endobj + +574 0 obj +<< + /Type /Font + /Subtype /Type0 + /BaseFont /MRAHMF+NotoSans-Bold + /Encoding /Identity-H + /DescendantFonts [575 0 R] + /ToUnicode 578 0 R +>> +endobj + +575 0 obj +<< + /Type /Font + /Subtype /CIDFontType2 + /BaseFont /MRAHMF+NotoSans-Bold + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 577 0 R + /DW 0 + /CIDToGIDMap /Identity + /W [0 0 589 1 1 572 2 2 281 3 3 724 4 4 599 5 5 650 6 6 501.99997 7 7 299 8 8 650 9 9 260 10 10 560 11 11 298 12 12 975 13 13 434 14 14 625 15 15 856 16 16 650 17 17 621 18 18 447 19 19 571 20 20 632 21 21 339 22 22 572 23 23 902 24 24 339 25 25 551 26 26 516 27 27 597 28 28 572 29 29 632 30 30 281 31 31 578 32 32 685 33 33 732 34 34 632 35 35 577 36 36 642 37 37 632 38 38 572 39 39 571 40 40 572 41 41 692 42 42 387 43 43 791 44 44 572 45 45 331 46 46 320 47 47 943 48 48 620 49 49 656] +>> +endobj + +576 0 obj +<< + /Length 13 + /Filter /FlateDecode +>> +stream +x +endstream +endobj + +577 0 obj +<< + /Type /FontDescriptor + /FontName /MRAHMF+NotoSans-Bold + /Flags 131076 + /FontBBox [-74 -240 904 765] + /ItalicAngle 0 + /Ascent 1069 + /Descent -293 + /CapHeight 714 + /StemV 168.6 + /CIDSet 576 0 R + /FontFile2 579 0 R +>> +endobj + +578 0 obj +<< + /Length 1296 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +49 beginbfchar +<0001> <0031> +<0002> <002E> +<0003> <0047> +<0004> <0061> +<0005> <0075> +<0006> <0073> +<0007> <0069> +<0008> <006E> +<0009> <0020> +<000A> <0045> +<000B> <006C> +<000C> <006D> +<000D> <0074> +<000E> <006F> +<000F> <0077> +<0010> <0068> +<0011> <0050> +<0012> <0072> +<0013> <0076> +<0014> <0067> +<0015> <0028> +<0016> <0035> +<0017> <0025> +<0018> <0029> +<0019> <0053> +<001A> <0063> +<001B> <0065> +<001C> <0032> +<001D> <0064> +<001E> <003A> +<001F> <0078> +<0020> <00660069> +<0021> <0044> +<0022> <0062> +<0023> <0054> +<0024> <0043> +<0025> <0070> +<0026> <0033> +<0027> <0079> +<0028> <0030> +<0029> <0041> +<002A> <0066> +<002B> <004F> +<002C> <0034> +<002D> <004A> +<002E> <002D> +<002F> <004D> +<0030> <006B> +<0031> <0052> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +579 0 obj +<< + /Length 7950 + /Filter /FlateDecode +>> +stream +xz T\ǙWuM 4\A@#RCл[nz@[زBؓؖOIf=j)8O('uN&I2$MvUv#Suزq[W@.CB} Z5:@sf4=_%Ǧ/RGL66q@S犞_Pw|fW +#&7g'2;dIRY@;-Q/('ǁ|x\24,Z`|7$b}/$C.9]'#,u&Y`4ƊuF$_&q曪k%.MkH:xr*uM8f̕H;!xI1k Ėgj$j灤OyOX,X':S)-kbg&YxҗX3_oo'bFcɴWc_+P:t*2gʼn Iac 0Pp2LpI&3)FT6 = +15&3$Ɠ̢Y|)F! +q3)Mf-G_zM̚`JOc mQ[d$mVLHǽ4ەd$rɑbYk fƠ39#ifi 1qjK8X,(>AmqZDѷb8EZC*6O!A!dZ_3\Br0b+c_Wc;Oͱm*ǯۊ!'}^ݗjXMfB`$i4R=bekgRceB_vCceB(k2& 'bZcv=X1;'Ru611#9˜Ru!F=lyyLكdz235&ǓY.>&㋋ѧ3^so~1bAVL3VY,I0lFrȂNr==l:Z**p s 88# >֦Bmd +>VYJ#+|YFV:#kc-z#kcgjzxwRŒý%ČU3bhb`e񬹨`䓑̗LV9Yh5|3FVc*|7*laCdhiV:#inank +k14mP{mNr[*ΖXKcV!dsJpY%i3vAyNd$xWZ<_9oޙm#.kukA?C"bQ#*#hd)~- hqqP3ZG]=~16 nL3/вňDpj1kZbguEyLylyLH^5E^JU*#maB[} ;5ͣDzRgJ"39dr"eJ"#;dtMcr@tzuV0!nIkwD7cHse( Su*?'B's]B4rл;Cge}_ʵyES a[|8]9U0Tݬ=-U$J,U3t-̥8/E>4i_&q#B't9z* +BF@Q0VUFmAno눪RJDK乪ݚ8~x @б <"8be|&BΐZ~N#v9U6#.2F=`MA64t:KD"+YPAh΍Bw8~^ڪgWmB%kUt#v ϿOZ}L{`g\ 9>B`_{a=m`GEMZF xXI%QA$Y%DFYx2A* *)' X0? +U%J9EƼr бTr]5 ""KV;HZ.^ٌF84NzΜX'׍oM_x T فz_S/52f4޷g"[+UKoƀl :XIcNV鰪PI +JxckS|sT -6oDila߶B}-OOɥo:w8]䯩zc*"QI% H@XpcVUۅ5.Kv⩡g7%7SW{#m斄)UQ.rs; +}~E""k8;!"JOѱbEA)Rm#(mnmnJ>A6Ox CMP8$t2BAF|HT"#+ۛFdYPBVbv[բ('ZOIBbBeʄ,}H!ʇU#f$p92[q +Ra֎KdݮGM*ÞƖg)jeK֯MV4-ߤԀ X$(=ou~03 +).{}}KWں7uu+O崟w1q\tWzjj$b1NQ1(Gr"NGv)I:#yUjO5M"\Brg\Hd#K$ &";>[mt:8==-1ocK6"jZy4ʆ@CWLo͔W.*@=b>,a8phV")O/ԨmV>G זz_]0XtaplM^E(Gԇ9Ycuu 9Vu w G/=֢dU%]ٽ.n"hDr 'O}W0?!Eۥ? '@O0K pؐΧ^UV- ?/?:=vWgZL -ߤ[pK "2^"M}^RqUD3bewMuUun8jUW>L{[ׁ݅ WOnliii;]M}譥׷m=<  +ozϥgF_>M:AFuJ +EEɃ#-VdQPEDŸ*kމ}ƞg?58lLKk3g>?\w/Toz)[En9a%D[Nd*g_3r'58w|kj;zr]\1d^]{v:U*_貸m +POʛ*F*5j.W`&uҷĖXwȊHDdNe((om)(ڴEΩZ\f\ u=*rriuTTσ S5Éh)h<3v!ڸ-Y&<3RPu񚆔_:$POY5Kz=b_d2՞Tm=ZZLkt]nyGsoCηܚqNXidy{Zf>t/ƍѹLͿ^H~/Kĝ/or D Dž;@4ݮ*>鎈i} X"4Kߖe\ZDoݎ*tmt| Fo9J,EV iB2,', O=;ʻa(x0+^2}= Y@Dt;$w7Г;w62{CukKcֆQ:XjAE)Swj啷V{?zޅCCW]JurtŃ_=/=ˠױpqUSzDZ99vKo=R!p\Z6H%"[%O Zrhuྲr7`GC :GLq!U<.5C;:DCWUKee*XquZdF=yLjEt jb^`OTfdH6O0sU[¦EOQCo@LwQ-,I"cw=*O#^CEkqDx7KE"W^,/HzTmv/}dgmr߈{:Mou1_P op"6Q^! +3uF /,x0"R^~.=]AKecѯ4k?q߆(^u3% +5<1̷JlRUTh-(&"h.jq7;]fgv˖x񝡃UK/qs*}?9\[X_qK>bkC PXcCK?9?uyNɃ(톝 /Jb4\OhNI7B~HK!z.isJ+"XVW~>~Rnoc+8Zo|J'Wo ?WjE_/Z*,.Roo}V +L I?Q|wH u8LPWs0E,LVT`Ud.[Gsp[9؊r+a3rp1l#\u$09\Y14h8)h,0 8Y&n/cg1 aЄ& q/ bM8;(fq GN4B8/|q +!L4N`Vѳ <4&ъ0тvta۱ZcV}SFmٚ(2Yts4> Nц0hǑU%'qYd0) 8ML f1ccTPϹ92$vr1}wÔu7̊6M]qlwtz SXXۦ=0܋I!qn{$r6uĹ_9! NaŔ&^r;+hZ. a[O9yd wiozzC ]>3 as3‚iCc#ra3hY'hD؋쀄l8a'cA +P +V0u87P~D.qa 24c _Û;YB>b,,Xѧ=;zQ8/8^pU +6rZ[z\ΩS8(1T-ĪboްQF(j̢2[ػ_eȕIߓ}Z z> r9Փ$I[nkIkdCL~4Kw]T1kA +endstream +endobj + +580 0 obj +<< + /Type /Font + /Subtype /Type0 + /BaseFont /SLBNEB+NewCMMath-Book-Identity-H + /Encoding /Identity-H + /DescendantFonts [581 0 R] + /ToUnicode 584 0 R +>> +endobj + +581 0 obj +<< + /Type /Font + /Subtype /CIDFontType0 + /BaseFont /SLBNEB+NewCMMath-Book + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 583 0 R + /DW 0 + /W [0 0 500 1 3 875 4 7 500 8 8 778 9 10 500 11 13 875 14 14 572 15 18 569 19 19 778 20 20 500 21 21 529 22 22 278 23 23 778 24 24 278 25 25 878 26 26 278 27 27 339 28 28 569 29 29 500 30 30 778 31 31 569 32 33 500 34 36 569 37 37 778 38 39 389 40 40 569 41 41 469 42 42 833 43 43 500 44 44 528 45 45 778 46 46 773 47 47 833 48 48 520 49 49 404 50 50 600 51 51 429 52 52 407 53 53 803 54 54 278 55 55 905 56 56 345 57 57 778 58 58 763 59 60 422 61 61 778 62 62 607 63 63 778 64 64 659 65 66 278 67 67 675] +>> +endobj + +582 0 obj +<< + /Length 13 + /Filter /FlateDecode +>> +stream +x>, +endstream +endobj + +583 0 obj +<< + /Type /FontDescriptor + /FontName /SLBNEB+NewCMMath-Book + /Flags 131076 + /FontBBox [12 -297 960 1495] + /ItalicAngle 0 + /Ascent 806 + /Descent -194 + /CapHeight 683 + /StemV 95.4 + /CIDSet 582 0 R + /FontFile3 585 0 R +>> +endobj + +584 0 obj +<< + /Length 1548 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +63 beginbfchar +<0001> <0028> +<0004> <0034> +<0005> <0030> +<0006> <0033> +<0007> <0032> +<0008> <2212> +<0009> <0031> +<000A> <0035> +<000B> <0029> +<000E> +<000F> <0031> +<0010> <0032> +<0011> <0033> +<0012> <0034> +<0013> <003D> +<0014> <0037> +<0015> +<0016> <007C> +<0017> <2265> +<0018> <002C> +<0019> +<001A> <002E> +<001B> <002E> +<001C> <0035> +<001D> <0038> +<001E> <003C> +<001F> <0037> +<0020> <0039> +<0021> <0036> +<0022> <0039> +<0023> <0038> +<0024> <0036> +<0025> <2212> +<0026> <0028> +<0027> <0029> +<0028> <0030> +<0029> +<002A> <006D> +<002B> <0061> +<002C> <0078> +<002D> <00D7> +<002E> <2248> +<002F> <0025> +<0030> +<0031> +<0032> +<0033> +<0034> <2032> +<0035> +<0036> <22C5> +<0037> +<0038> +<0039> <002B> +<003A> +<003B> <0028> +<003C> <0029> +<003D> <003E> +<003E> +<003F> <002B> +<0040> +<0041> <005B> +<0042> <005D> +<0043> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +585 0 obj +<< + /Length 8015 + /Filter /FlateDecode + /Subtype /CIDFontType0C +>> +stream +x}Y XU&Ґc[Gǚ`gsf증ZSbҖJ @IBHB/{B-$KXZ +bX]Vz~3}~й㝹䜓;ηoa3f1HWm|@>oPIO!"l.4;30f9stX0݊}:,=kc߄3dab8C\G=pK_P#O%g͏#=#/J*eFeERR$G SDQ;wD +Q2Ry)QE奤D9//X O/-H +y [@[uˎy֯z}K2qTP">7?,0F c7D~ A%Yܙ3vg?h=fZ,V}lUbf? [McF#}hO-Ȱմ_ a2&\1c ?0߉m!u=J\`̃Gg>8YfeK!e6G~tѣi,zƈG'O̜3~rn3o6oOTtT34>scn\%׏2FGhɎ_GNz<>ƾz k86+?_f- l( 8?BޠC1z͢ꭀe-8#5TXĿ*82 VPr4znzzRPlP"ʆðx~-^Љq|oO#\ŏB)MD(A)W"dHU/1@[֨52=(9o60lQImU[Pn|{2U˹oP(=7m1zocpl'3Xc} q!:+: Pl\ǘ؂}E*\P{x]Y(׉l=#ekab>x`dd4ifѷIQjD$@M#8bhңtV"*ʪoyըri3~^ن8(nGCm +660"MtalR/%fHcfh{[ǡl.Ų]_55  ֏)8^8JEP VYZl3TheCO(^IkRj25Ē;Ǥ͙qg8_@-Hm:):CmZm9(С+XM> +~a.V=ߢ]Qp?:?/?.^Қ5& JE7f]s}˻8O=,J_M>ElO/_n +r.po72Ĺqtn$qf|Nrdj* 6ɉ>@"H +Np]6?J@nVXvsQܝ q#C {cp|*?xI4n_PXබP~*p\Ĺ@ʭpM !5[sDŀNMjX 7tZ"|ĄƂj!m+w-9jZ4lE3]<\FӍݑGxߖb& |#η=P^׾XTIH(+\fYd)l!_yC/0V{o?ذ腤u/VBLR[]ğ} ByJ)n:'|Y:A?Y!C;P@FU ,gBn*1e%D?Z<- +f:'*]ƌA E4b6a2a +^ +Z?BN?ܦ] {Hm֚te5Ȓީ*G{1\9us'PYXƷ +s}q[`4$}Y#oQ8TU?opQ?|Ĺ|g N;Ob#7"jfV]Q3sg/]åI=Қxp{|y01Ъe!xF]ThJ `+VbEAg@PM2F +PXN3J D^(;ysx#^VKo[ D'4J8Ln5wN‰j5u>:\@wx c0@`oRE{竿Ļ?|"EJʻgF ?Oo V8%;alՕwH|Ơ(bV$'eE|HSEUR/b="u>Ĺ98gt75D={lɋԎI"zx?LH{j:.][ +c%,@q|Ϗ t;8TXZ(e8q$AN4g tAsYq&3 +e7K~vSpFǐqDezvZ + >Q{a ?0};7Gmm e {݈]qz9`9{ +z PKfU 0nɟ`jߺ#O=O\=1_,HKa7DwZtU*_ ~vVXMG%'$yu7q82?-D\Np7\̣}H[..͓ID +Jѡ2-y^Wm˹Mpoz!W|HȇH-N*HS&Zk_#ay1VX{h,ꑦGc坄pa04j8gj[ NnU}eA)eMB"~Ma{GMM'ݯp͓_ @sYqIëQ_(&Cⱱt1 7#erGޏU+]Rʺ{2C YoYvx+NՒ+pd+-Ww3MyF tq{&.Dɋ/2" սԻړqf`SM B鉓ãoUwK_Hxg[u&0rƤ5ƒeUK,ktZt4zqq*Sw$c_`_$3%ؽ2A)ҨǀZLsV ST8= M.P~{}9Cmr1K_ͣd,JZVO)1K=tnR[m%x^Ǻ6_j?dXf.3kPVu޲Se 2 6̭>frSS@ + trGYbDy!v%ٮ{˞V~A!Ndnc%+iiSaAY]wbM뀖vv,sCS;t <>Ϛm2)Z!"[8A`Q8M͇GjOiqR]+a|EߗVku\)c0%fgl7 P+FI+˘q9lD=,^hB*JayJ(F,EoZScY Jψ +1s d3JauOWx +3f<3,P +j7/3Nj-[<JaC?xS*B"YjszRxBxP{c < +9=V:T"6^:~xGgjrK NN/ɑ%) lWV žДR( +&=ұ Vat7մ;z~E XRإzJ;}/fVJ EQWg)Ecem6UV]iW TKmCAQ!x9?PzW30-. \0ߵ [3 ';ӄx?)GD +U6_e3.B7e_Sh<1MhU_Fq5i'8n幠F)z~[/-&zxSVDFzPA"Hpc9z4w%V9aBeJ M<XD3Ns-9*zozxAw2ج 6eP jDj!AרLTy& Ɉ<>̥ @Cԓ-Le8?M˶lipVj;R74h7U LlŴ84cs.#GíUFZT4XS#}"bL\xPJYpz uZ@L.42U5S jNT'VT7d=S'xTEr[s/9m QS2jt\?Jp](wr!pSXMΓUK6Hg[oE. 3"wp9B0Jkmimq.43[NBxg7芅v#ibYAiպ &w-n+A%" 7孓'rbBhbV@Gpi౱ d ؂[D)H*R=TM|ꉠ{4=ES~>cvơI۱h:>on^1#ɥbEˣa;e#{F]1s7apN#zr+ewO3>>ւgGB>@8<6.5#:st(b] >qwѐl2u iAg07ٹ"Y8O_`Iyg8Ǩ7,7bqn{Z1|H/Ŀ&| Ψ iL:hЪ"a)3~*:A@3,`6Mo41&VbPN(SF6M'݃H|ks+Fie B5yn!9#\j.xTb5b<9^Σ? 7C CS{ǹsV8ã@|Qwp Ar-*uZ"C ~)^^;'G 趁 NƦ0!aD,Ljd ôn8:&,XeAn/DK +hC- f&N~!^-AULF{ +p8m56el6uT<Y +endstream +endobj + +586 0 obj +<< + /Type /Font + /Subtype /Type0 + /BaseFont /MASHJE+Consolas + /Encoding /Identity-H + /DescendantFonts [587 0 R] + /ToUnicode 590 0 R +>> +endobj + +587 0 obj +<< + /Type /Font + /Subtype /CIDFontType2 + /BaseFont /MASHJE+Consolas + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 589 0 R + /DW 0 + /CIDToGIDMap /Identity + /W [0 42 549.8047] +>> +endobj + +588 0 obj +<< + /Length 14 + /Filter /FlateDecode +>> +stream +x +endstream +endobj + +589 0 obj +<< + /Type /FontDescriptor + /FontName /MASHJE+Consolas + /Flags 131077 + /FontBBox [0 -205.07812 532.22656 727.0508] + /ItalicAngle 0 + /Ascent 742.6758 + /Descent -257.32422 + /CapHeight 638.1836 + /StemV 95.4 + /CIDSet 588 0 R + /FontFile2 591 0 R +>> +endobj + +590 0 obj +<< + /Length 1194 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +42 beginbfchar +<0001> <002F> +<0002> <0020> +<0003> <0049> +<0004> <006E> +<0005> <0070> +<0006> <0075> +<0007> <0074> +<0008> <003A> +<0009> <0064> +<000A> <005B> +<000B> <0031> +<000C> <002E> +<000D> <005D> +<000E> <0028> +<000F> <0069> +<0010> <0061> +<0011> <0067> +<0012> <006F> +<0013> <006C> +<0014> <0029> +<0015> <002C> +<0016> <002D> +<0017> <0066> +<0018> <0062> +<0019> <0052> +<001A> <0048> +<001B> <0053> +<001C> <004F> +<001D> <0078> +<001E> <0073> +<001F> <0046> +<0020> <0072> +<0021> <0077> +<0022> <0045> +<0023> <006D> +<0024> <003D> +<0025> <0032> +<0026> <002A> +<0027> <0042> +<0028> <0063> +<0029> <006B> +<002A> <002B> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +591 0 obj +<< + /Length 10274 + /Filter /FlateDecode +>> +stream +xݛ xUoUoNoCuh:t&@dIg%,I`Y*!(q( +(ø , + +2:cA@qA :]={I~uԩA,Xy-K\y{m{@wJ3oYۈ{ +X $nom?U9loomL7cξ~P?iJ #monatn c!ׂWX - +u@ lE Q@c@b`' +ş Љn<>Gщ؀-x7d4>1g  4$ĉ>JDNo40L?܏K<Χ?՜?Ob~OYl–Hڏ)c3O)5e Cgq_$L1B>Gi +ZѮL,FSfJn7mpf}xH Z>5xB~[[9L+S9JV\ݬcX,wMN>J48zĘ讗1UV\mtߠPSۡ ,5}"G<2=&W*6RtWK*FC1M֣c] +-2Hf(١eU jDl!Fb{e91,a P}$Hi?"rbE1vSx/&TݭwKW׳V7P̨W{;2J]>/bP6^R;uf%'j]&wW/G1dLlkẗltW6+.)4^X~9+=Qv֏MUC ߘz=;U V#MkzvFNZ=W gjRY"p VRW0Sw^njϴBKHi-M@KHjdW$lpɬonhhnl`3 Q)Ep!ݭ]ҋYz1O7tTvݜ=H%>EV+400>pt<3ꕨ\<obLPV48PWώ5z&4(*D%3S=1l,%5ɭ%5]YѠ4de\UC/SNmqQ̞U Q+T%=-niitCBjfCKkMhUͩ`=YUL\6cC^ZɠDyţDe\ДGx&XgbVŠ !N!EՒ٣X=xbGkaqYͣ=3-4{Ydqnve`;?/MP6]jUM֟?z,U1<Сa| 7=ܛchvÔb| + 0wzch)+Diۇ2Oy':}#gS n;WP8"Wp }*Hgsb}NU:J'>Z{܇[!O5#%l>Q}]'rJ28w[N/UJ΁a!JHA}=+#rx?E򇍆̀K + (d~`9UB / 8>9Gt(h G9羥<~=F"=BnڊDXh$ R8kT/.)"G}Ey !vp F{ã`On5trS#*;_ Be/bc `CM<#Fo]m5g Dx5#:Q=5>vΘ"9>8ZLQ~ڟ32n/qH֛Fֱj4 ]QK`S[{ L/Xwot뷗3w<;궝O}va|~pr\^J'C1$ Gk8XifN?5z1 ktwMt(tq(Ouɶtg?pB|EqHLjhK^Sj:r0d'q-5Z{`qq6pXP !s3YC +x832܃ +oё7+gcZvevͥdyVsB>kڪn -aے.z7.>5J0bPQ'׿+3HsKX4!f,،_G0hQ!zo1%p\'].fjCC2lsPwy3]¢ϖK: +HQֹqixOAZ̵~nidg\+p(gw~{T^[`<8U"!:N]$bSSt\"o~^zd`,d+ !)3>n]Yӯ-M}z͌悫kcbs>:}UMUq=_pm ')ye +%M +3uqbc0 X60LaLj![+&'P?# iR-F*Mc\>u#߹l:,rwjI,zΘ"Ƀ1E>뿄ȵ?#`KHőrE/։BሌLMUیmyTԾؔc*vR2 MYW)Oyb<'|&=+\|jވQiY#2ӗwYQ ˮjdfEd%K`9ͦ{9' /Nw>*axV(Uc g2f + 3N̑}!hl}_xHbubˇxAg._ZwؤeS:&4‹5}7.~e}]V]1nw+;չM:7Xudp*^8t=n[t&۷[1$&3G:knݿ/|p]יB? l>$CHFN v=DY=g7Nc'|ӆ9}nwI~ڸe;;,$d ]0<>7#)mq/dmq ^ĝd080jץ!q(ћBOY,F$D,vi= sݺ&ǚy; pgW*7[ K +W_2zGuRX4K +w1a;~%bLlqh}r:v{&6|+5U̖KsQt~tþ G+kB&? ÷i.|f ^8!(DNdӶCRۜ] a0&jH)gUmo~Ҳ"XlҬ G>'Ҧc+:G:˾: y'Cg5{۞o~us*9{ucN ?aTR|Q[IS8$w-&nCrJyqjV8_lpyzh\lۛ=lXRJQe=a@ܢOe׿bQ0Yh騩&2ס.8?M[/}dko9W=BnA,LwD N 5g>\φ{=R{I}oAkkwɣ_t8guCth6[,Q&9Q'vU\>s3>CgD#4V14`&Z^bEǞ>_ҁFI <1?Diݢ/6qT+uiw^iZL}7>c";G慛cׯᲕkvo=z @цϣHPb>O?]Gtuݍ-< u_tDgLI=K߰Ҕ?b̐iI/ xǺmI#J /*ϰōQٿ\<:?vÞlh'&of'ix|^!\4wn8 +wv>.턉Hv&;]R>GS/ q-+D=OldKzا>x߭|W/ts`mq)#]]x++hhiDžQuz_ޕW2{D= 7B_NLSh?%eEGĚ6^ `1jL1EEڐd#' +)FO;Vҋ>ѓ_)xoB|to2V +o?hzx!ȝ0 e=i# ;6fa51$}n,KSԧZLw9 AGUdb5)j&ZB;Z^]5mSBZ&df zaҪ׬&S A9)#k+5(<~O |+n {H ыAEn=K5Bd|qa/fY'0d5/6;Dx;v-z|ɪ3F<>axOJ2 HH~zk.LJQmQQ0LBIt(ȜI,*߾YL:(ݤ+a-[haBJ7l%q <= +o.j2;_pXF՞ܰ;;]LxRs3IizeZb̓jeRLg~cx;}Lɂ?ftߩ%]!] `36#O XE+E،L: v ؄tx2,s,D;tM=# j-=_^Z;bu46ڈm/TۅEu-cv@&$r ,T$mujAp^`mGPڢlBu.;ߓ\s#%2kUll<ՆbSl5?E'%Ϸя`Nd9n9?~?sA |^WXּCm?_SM)?-Uc|/Qkz-C]9UasHW q])W?;QIt+$& h֤_MNkoMNi&i/M&h&'491M?4&_i&_hrTi&դO4&j&cMGQ5@59{;A5&5yK75&oh&49kd&j&4٫˚MvkK4yQ4١vMiҫI&&[5&5y^M<ɳ<ӚF<ɯ4٠ɓ ǧpc?q|G9>x{c8=a8s8r±c//qͱc'G7DbTc;6^c+rlxcsr<4o86r)_qlx 9x9s< /9ฟ>uk9帇c wqt&NBt'jUwp丝6[9nXq3M7rzeq,X±c/8rtp,1Zk8rshh9Z89891c&U388{]1cG-Gc*8WpLQQQQQQ(1c,98F7K!1c7Z +QG>Orr B͑D!n^g"cGZ\ +e)I q1NaY8Q&#Cϡ9o= 3= ){@ҷt= cO{@= / {@:jHgH_S{@lHҟ#{@= }hHt޳wmA[P-(m Jö-(i J7lAu[P:d JmA5[P:` JmAU[PzlAi-(l J/ق[Pm JlAi-(lAE[Pzv؂v[Pf Jcmk,m6K6KjiYz,=km6KO[Xff)k+k,=im6K[Ǭңfi}tPt`ti]t6C7C-tKw[%G +-LY",L^,x&R78Q|2qkOL*ƭC?8݊Xm>! \hvmMjk޶&mK+=L +bJՊ}kf( +f\UCtOC e'_k 466~i Y];geuvvRV.d_/?;;;:;:gueuveuj{A,,2 @0dLg!d: NA!w_[t2}L' qt 2222}L_@osW>LLBO ӟ!ǐO#G!d2@ ӻ6d=d: ނLoBA7 d:^L ~*dz2L{!ː%ȴ2L NL/B ȴ2mL2)i+d-d L sY dz22mLOA_A I8dz 2= +LC! d%dz2L Zt/d2LݐNȴ2Lw@vtd2 nL7BJrȴ 2]B% 2uBE2-L!> +endobj + +593 0 obj +<< + /Type /Font + /Subtype /CIDFontType0 + /BaseFont /ABWJFM+NewCMMath-Bold + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 595 0 R + /DW 0 + /W [0 0 280 1 1 950 2 2 894 3 3 575] +>> +endobj + +594 0 obj +<< + /Length 9 + /Filter /FlateDecode +>> +stream +x +endstream +endobj + +595 0 obj +<< + /Type /FontDescriptor + /FontName /ABWJFM+NewCMMath-Bold + /Flags 131076 + /FontBBox [43 0 1027 686] + /ItalicAngle 0 + /Ascent 806 + /Descent -194 + /CapHeight 683 + /StemV 168.6 + /CIDSet 594 0 R + /FontFile3 597 0 R +>> +endobj + +596 0 obj +<< + /Length 651 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +3 beginbfchar +<0001> +<0002> <2212> +<0003> <0031> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +597 0 obj +<< + /Length 672 + /Filter /FlateDecode + /Subtype /CIDFontType0C +>> +stream +x%]HSaߣ8v^.wE64$5U^p< z8?}vÍ%QƭN$18Ny^g$)vtfo;{%?pr7/BeBe5ځJ+"^ +=ͤsKLE1Sa$|<0X<%LU1# +!DJެ+%-'"]}@{ԥ<{69y G@@ aMd* +>X: MC`",Y&LY ~23I2aA >^b_zt Va; +-a XwnqG +d YuG_H6.kV*'">OfSPvsǠiQN~idtTC(G4TufD~;@)Or5t<_gcFaBoA]+ExL +lq3[c +endstream +endobj + +598 0 obj +[/ICCBased 599 0 R] +endobj + +599 0 obj +<< + /Length 258 + /N 1 + /Range [0 1] + /Filter /FlateDecode +>> +stream +xuJPFOUvDD@`]\ +FMkIRB|&إnऋ(HrTų9` ըa&ʺ:l +3Ŭ*ުnh)&C|>b纝黓AvCƫ+ y') +̵8+/> + /F 4 + /StructParent 0 + /Contents (Email ytshih@cs.nycu.edu.tw) +>> +endobj + +617 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 568 0 R + /f2 574 0 R + /f3 580 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 1 + /Tabs /S + /Parent 1 0 R + /Contents 618 0 R + /Annots [616 0 R] +>> +endobj + +618 0 obj +<< + /Length 5516 + /Filter /FlateDecode +>> +stream +x]sǍ~߿b'9PUTJRq*WJ_EO.U/gfۘech_"3  /p͛w Ë/ow/mի^ǷË{{W۟zw7?×x np8xK2 ͻ͋7nxn 6/n݀n]\?m7I'~ g?w+o~#RJ,arCx5 M6N8hK,{pgp7W/7/^xs7W/ʐR6č=q+fL9C4)5I|[ۗڛf.Cپ10:g0__}~<|!Ai(\ эxzYBBAHLONWC0+݈j-f̑探aUY:Hܥ??'GZ5~sh_ ؖNM.r^2Gߚ4ayAXGb&H[¢2! c0BC=}e79Π{F0_1##Mݧc ;ѤicZ3]虓O_>@ūaw|{擃 Ձ^Qӽz;Q2~AGӆAܶkM(h.O7~?g|v5tV>MуWzU)"Dt%rD嬫9S:>Kx{IÜaf#dlFm'6C@F@Tc!j Bѻ_4MD)#o5RdGx+MTG!G_(:8 WA-b,h  s?k?[ UЯA&&3%ДDcC-afhF)ց^-Tu 5uwE;Xh|3Goύo>"=7 'C0 .r 3D +RpʮDL'1sџ]ٱهZ4\>+EO'x^|>6Cf@,JQ5pv.MKmTH4o*b’\盻]5 `,* +#e]uZP'WL{.Gk^#a-_ .B)4Ð0$[JLy>y!cG w€@MSjVzMKZ݉T#0%P&~%PPޚ0Smk"[)CFJAnAPt8yAj#ECX"ZgDs@[Ej>[sY(.'gu=x*S9]6XU*@i*@wg>ٗ_%CN'|që8oՆ?me6nyuUkR]FU]I̸$K$ۨ=^wIL%[i%DpyD#˓ +`FVʍ(lAFr焺ny#%wO( 1 vFm q2 XB ~g$wi N _ v tHL\_w E=q*sgǠUm)Cb6 `?tb3= CF0T]CC^d2b.(z` j6Nʨ6m[A]Ⱦ T/)r|T@dSL*Yiᔧ e k$)L~kAl%e j fXT,Ai遁gVHe7rr.?En ~:Dj ԉ rC9p֚"=]àF!.AFHe$x^",2"GtX$$VtEy3M4-P/O E"j%ɄzMO4L*HFeNVe:V[a=(RAXc=(RaXȴT.We^VT#3S'ݎ)*: +2{vp;?_2hd柙O9/NV +4ur<̌:9ouE;@\$$O.N/yEn=YYB!2D3}r ş4L@~JP& jˠ\Z"/RSk`pը[tOTu+ ㉀J2t1%ZG +k )gGɋ +Hu ѿ|P jNh )ACvFà:^u Zs +Rf +`t>_MɄЌF_2MCjxB݊48??.HB.y +{y{\H J@tH&4N2'tB ":s!1ɄP/ b%CCCN0AF:>BI=Ļ'(wK@24x%4D vJIƌ  &; div +. 0t ZG`3I>69 g7:APC` 1\K@Pc# ZuLe9 5LL*NAg8,X4jrcUC j2nYr\'*8qTàG24qEFrfTܦT|LbS,zg&c pp,j$:!u[:Cw AGF ;=;EPM "xz @Tĵ'"їL-X24z"j[l$S@j[ltV t[ DX +y%5=AyH@nP,x2P͑|Bha#$P7jLEX<_2k&(.Ux6`D韈Vx9卡܍A4ԧAn1n1ԫg;#RMb?R +N gM箵ٟLɟTϚKH [%X!8{= ŴnFaN?/Hf n{Dp-p~VHLT]d cNft"҅k%ItIA,) M"ĵTHE6)``|8@.dfݸ,|꧇H6c?(8;#)q݉?uF8N2g AXJ QuVu=/ťcrx^4uQ2'B;xRsN4ο'_qyRfQ%A=ys DⓟQHnU=;__3z %m"y!spDvBᢇHoޕ=k&(wV߄&VI&,"y.?YES_-;o[>JkXc;o[HA?mƮYd`f!R?z,DZEB~j]K;vkE\bHCo1yXdo +t*Y0X0A=-Ba;Gs#@sbs *H`.D\dIs +Ve(O E "VZXy"mı`K`nG2_]m?K[` v2 "k)Ub #]R +b%PkɉE +1LDz+NHA"D~+z5Xùb;> [*(W >.,[kdW=C@ưU,?El!ױ"#2'/^D-hAE- 0 YI[ Λ`TM +ȥl&}9/riw6`_\  U@e\F.#a&]}TǕ:lfXfJOJ/qd GX&JORT7*( @ E _TE35@KVуSE,lVHq5EՓ&!|RnC}&ȝ=̵^DZ k 5/wZ1̵ta[ϵ1΃#T$] CkP5lxm%iE\J֏@"5j^hϰuk |*n`bwNcw݆|B.X1u-boD+syg+r]_kDk-՚"յh@"ӵ֍xsͧN 7y> z|RGi|%s(sb?TXlX3mzW駇Rfb_2Gf߼_|oo_?^o?_]o?N AXF΀Sj:o +endstream +endobj + +619 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 580 0 R + /f2 574 0 R + /f3 568 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 2 + /Parent 1 0 R + /Contents 620 0 R +>> +endobj + +620 0 obj +<< + /Length 2791 + /Filter /FlateDecode +>> +stream +x]ێ }ܭV*0` +hl?dQy TZ mi/C6zx{ͳtͳ=pS PS#b:\=~xv{xx}N<.ׯ_ "~H+rZNW;]|}:BA[/I6? Ӄ~|җ|>v_=~tz: kd1jggXx3L\NEXfEӢy`G+Eu+b]Ԡ.(( TՄg ī#)!vmŻ@|7 ݽ9;B!k2^= +;U[T͓@g> je_Eg7:`_'ZGxySבtYۛ߃ޠ {}9{G +=||fxU^VBK~{}ZBQXZZm(s(l)!ryC]x +]amqQ?yj Ժ(kAX(.̚ ܲ [)I|fǣU.Զ4 E]mmf{#F~U Y\o\0֢ruFK]y0U&]dıV(0ÀuJy +չ¹R|kVwZ~Q f,@[;Wɐ`2@ucAS@pT7$,NQ @>⌿ + ["(PXPܻpaP +$  toEAe{g# # n~:Ў%헿XXF⟍Dq?30B`EDk`U(="\ J/q yJA9U]b),vbPMu&U㲳u(. +Xdw(7tj+z²WTk[ҳU_̸ +2'Z!0 ,תp\겦Y`Bx],Mu]ʦd +²T^mx=P| K-"bQ +LiJG@(aL.fD^(#NC(Jpe~ǡS +74= +7q4YV˦aL3AM\> SBoi@XDt 5;Q3d!VFcpY5\Dj;.-K16'Yh.&4s2lx Ne8ka.2_-h`#A\ zp%U@k\pc\pɾ0C0Ds6$?Q]&h.&JIA<)m-Dg. FF?I-$ #M1Dx. FwJFuy0:|mQʋwY0A(v(A|J$50Q)y.FYw[6,y~탥ƋH"1:wkN}t"i=oٻ^}p9 +{͕oQhTiFZ[WtcϿ뻻ׯ>|^5vdI?x +endstream +endobj + +621 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 574 0 R + /f2 580 0 R + /f3 568 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 3 + /Parent 1 0 R + /Contents 622 0 R +>> +endobj + +622 0 obj +<< + /Length 8974 + /Filter /FlateDecode +>> +stream +x]$9q>E-R~FD&|߀.2PuwU+e(K`e{g*%Rz~o~8Gwӫ<<~{ի7zwz/݇_7o?>g_ם;ٓ=}NJ:eGQ<}ǻW_?}wݫ~ٯ]^ʗWy xyM߇o'O~.<}M)N,{yrt+%Ƹ/￿f7׿_ܽOo/XH]||*IH@q1(!;_"__ê-GVu/_zk_Zp|y|Y7nHױpFUٿ)*ަ._uD_s,<秵O,ןf ףֿ<}s/tqo9Esc޷"+~%ƅ)Q4~r]?/o<>g/_z{ٓ<Hѯ?D⇲8'}ȰKxT5%='Sd#r<&$5LkbV 4`Ayk G'|Ghl{H\{t[@#!{=z1|{ t#ABڣqB[y56ILY <+ΐc0G5$ +c1!U{B0y- +S2YzLJCsQl f`n' rlq<1rlq0rl)NIj?vӺ8zr]zDA>Xh^r>|ۢ;g0~q9~}_~mz~ H#z@& 25(~IDzC <劤COބ<{ h! G Hc0@_ivEPZQ#_>mG4t:u']~\qaWc`Ɔ,SyL07דc=9~thΩqic@߁tz@ؐNٲs8۴3Z3g?$ĈEgIʄ!Т7׮H-&Yȏ#ZR#5Ep.UH᪈ܡ#վS#:R<򉎒)^iX r8rlG mtuVXaYz2t'H`\d U Q$0&SRd SRQ/V 83L  ]aPR(COX XR%mJ0+@XE:3=ȃJj&QaȔs&1Fʹg +Oh8|}UbCUbCUpHňNRa 8~i `̗ - ouHK#X HFՆCJV1 =1 '"H F܌b< +VaNkHa uI8FokT&d8C6=3(Bd8)1cA9A*1 +8~Jv(cU(8%hi RVYZE2D(ZZE2GZZ"#bHUKk(*vLG5ul rs!^1@P2Ml'1KX2Sy%O_xlc2Bl)A kc)\%}G)/atԏ$jJRkgUsLb(3Usꈙ! ӱX`N't$ u +Cp=/:E%- zr19%^A^$=xA\6t=A $tCduiK`eX!dGFHRpj:^.Q6=Τ@5 s~Ѳ;{ӗwSs0ɞp3n ;ˇ56G;`jvM QJh$,$kV?l\n'{Rz!y2}*ߠho;v7(=[/quG3u7>hfnDeG3q뷁LhmPކG o_Dl>I[_{HH[/AњB;ˤ-kjwr6n9yL6P޴0¦D5N _ BVH?Aӊ`l9)T j&cjPP^Mmc"e 'zCaEֲ56 U;9dj!lDFX>/T-%U#Z;8gdxKXh^bM De=j!j!rG%Q)U +vu*.EKY?-=W{qs,mlr]QPf)7 +֖db1\ٕV7&~qs?[L}옰 +ϊ%*I@Xg #S`9 α9Fdfpdks‰upnu .w&R`A8fsw{!9&S (W*ģpR@`o<'[ ^;Fo^;Bh^}r2^\G_v.e4ܮX \Zvl.f-%V e[@Ka]ҲX 2k1#g2| ӝKJ6A"'R;P>C2ABlB,PjGl>vĵSR s!(#&X3]YGU(pbq:@j$ωn5Pjsb([ axT91φqӃZ> + A:Qd52+j>фdqCAd ZDb} +)6a=_V4xh|y -j&/; o}̯r5!i]6=GՁbE6K}p="p;>Y; +S(|IP?55A 5A_oJvR\ʗ +!S?Y@߂ ycz !itzگ;5Ɓlܯ;-;#t1Y ȃE_ JEaF蚡 4|<BjG0t )9Fq0B9Ť@PGI;zzF]!c N b&FȽ"Hch ȇ!PaGQ +yQ3<ŽJ4Nʽ[APbǖMرJ\+{T/^LH:@^py %5AP6(A]"3<A) +Ԭ =oЃUB FjzU@+f5r/䍅Q <Og6vj6ICUb +My T0<: X:r&kO&֑,C{gr7e(1U z903qݚjACy'Q6la mY<70TqZvoei_PQ5Y\/O1C)fo81TO1-d)d\e}A  +8Ш3:W(7DUS\s/k|e OW5?Ƈ4hwnb\K#mY!mvf(A[ dvs'kR PͻbJ~C2?25 ۛOOHBZ9T Ȭc8\r}6*!-)9A$U/6K^ɓ7%H+F8grdp.EG@ϛ%RboTƅ@Tf8IdK}(@WLUeS]ˬ+Ѕ`KЅQ {\.1EE+Ⱦ߷yMg4 4͸ȈɾMae ַl7ӦΉ`qքvNL"q5뜞U:OZ&'UҔź '㨇4y7g$eun !jjGR HI*jޥII_Oɝyoܹ]+YR?9CX-٫`e`SެA&[-ګA<=eߒ DU`3eMHG3K*}^Mp3<‰; s˙ܾ)4t0B6I\AM tJcqFX;'ߕ٬ʱ'KC2MA_&~dQ(*J5`{hM^'իb18 +,.l{@dGgiZj@1v{m5lR.t.ܔ 80?eF (2Odm m\*kB'@R^dK틛Z\%Go^<%B̓Y]U]5UtEU2|!]c^\/cKIAKoZ5T@S uqgqM+#̫- r + _pE.c5XՐBO??0C1[^)@;\^CPo9ٝV.fnRDs;ۈqn +ĥ bxr'd$NJ$N#W$NC(Ir(Л8 @ݜen +-CH)Ti[X +-oաxnN2}nen.ʹ9uRsKN -9FPTuӳ3]SD>5qKV5qKb~jjCp+ӳN:%| 2#ӋFZ]^\_͛7-oؓCmɚ=.7+*.PYZQ͐q UR)x-L5⽆ +ƺA$PW6M AuC_l^(FU 7=Yo.n ҍdXʨnWvU "ρE&(0!N%'ke 33B D=l|8[ڔ{N͋as6OSXE ZS:SHʿ/@h{(p; @}#2dU@SEyC~t\ָL`rHv+SC;"BjM"H8حt]?qgBJǯDJ$D;hr;B" +\؏byk[T+C&!tjƎ*\yͪ^2 3r܂iJl)flJ&Gސ*LSQU +)*y*ϫVuo_\&5T:=5 +lG נZ;:L&LKP& +r.)\IZp")WJ-!A Hٴ +\")ZVN THڇZB x%.k Z}-$ܾpUdײ:=ē%Rsd[eOc)Hj w#9 HýDRp/Tꗖp')>pi*dӶ.&3:k(Dw#0_."Ҙ +bx +"61)P @܌_L n@5KhݑȔq/zeKU2E{APT#v1b6BRRƪ ޛSb0ATi WyEWdA  1L#^5`Y+@ؔpL^bfk"ix]9{tywk +C5?,dYZ0`Èklh!3l&6)IPdScxq 1j GXb㝱 Xdヱɫ@'#dO*dE6{wG'Tf~T 'PC.KZ?"LÀzx%MѪRد5GO(Uc{#Rx}RZHO]]_^~HJ]*}us?+PWDSX_Om2շ(-BMpR EuJ>oy"drp +uJY Ey⢺8pI A}Q]Ԍ CP`TסR8JG *ى_Uqx6Z׷G(ΰR=ρ$L ۦ.?@qvqHW֡'7}f * cXWàǯ=!W5n9P8M$6JAy~'A > + /Font << + /f0 562 0 R + /f1 580 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 4 + /Parent 1 0 R + /Contents 624 0 R +>> +endobj + +624 0 obj +<< + /Length 603 + /Filter /FlateDecode +>> +stream +xV]k0}ׯc A+ɖ"(&[T{ؿqDre_{8'JfՔK^Sֿit26KH,vT?WmiV]K`~  TK$Rd^bK!kZamfmnV꿦l.$Zksrp;X[\q&%OP|#An$ߔ `9ȅ4yjsWbm j҄3.KA߁ħXт,hm]/,NΆ fOls37Y.R\ HU.~uRϒ8Y'B8 +ZvCs/Vd%p$2輚Q<2"UZMֶY\S>-lg#l?@{">9E#E&D|iI)Α=DlRlZ#͸:(zLoTԣ/s&>"9SDi?Z)sODP!FΘn>wyۈ +ge3&bS% +endstream +endobj + +625 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 574 0 R + /f2 580 0 R + /f3 568 0 R + /f4 586 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 5 + /Parent 1 0 R + /Contents 626 0 R +>> +endobj + +626 0 obj +<< + /Length 8434 + /Filter /FlateDecode +>> +stream +x]m$qbdɒ֎X/|  wRk$gg{vYCv;6eOC>;^|͟/G__x{x/o_򣗧߼{~ï~3<9 Û^q7s?yww݋;;<._^~wOv}+? ߇ӿן<}]?| Cs,Gnoο^p/Փvwy/{ޝ{/X#8@2pX(bj *0B :u^i Cb8۳=O 07R F=uBMM dmhy Ҿ5 +P}!.ЎB(hfzo@qc U`(D:MR |Lj( ̻LDhPD\hvԻG +U;DRa@W$Hu퓲@yIXozt`T֡hv׻} ;Va\{UۇUۯYipgdVaJr0W يC.hVU{}8Ȏ }HQ@|Q@B+dQa֓hq]w%z\lrZdijn%_K|.= ;Dw7 o:ް/t\+taO~G ML..>(sJv4'GrGS(ۚ9R^1ʝ|Hv3ɭE٧uI\gA<"3D z-cʀZ.4L+ O}ZQ;˼.b @H​mi_GH,nJi[7u\N2n JA۠ʖ`| :&p mnB JsC="DdS7Rx{4j] \5&oȀ>9|>9ސowAgrcS[tNl@]'-AOZ5(UPrFO6.DWvZjEDzz/쀀国 ^~7!z/ {Æ ;T= zGZ\?p ; j/lÛ;4IR=Aqk?ﯥPL *U]\IL?|%ee8ԧ{Z.\Bo~vmf$[I"MwW<'wߨmp? \k4xkwצi{͔"T]5D9#{kQ3SW'Xk.kh8qݧg oe@$Sb 'ev4#debqá}}(X )9|MYwC:mq,y54`l2ƵCȧA"&sZC[M7 +PLfLy9Uuv'A E0TsieK]2nfGWAtaX\GPuekc6مr`O֝((֣&:"?]\-/gX"]ʊPNl3x^[= +ů7OХO߾j P.5z zeWonN\SոkCϧ H!Yq83TZ\q~™Gzr{1rwww e/e@wxsA2ocLs\/ ? 2g\!GcBѮ~nͷwcnlݟjT8/DpTҢr-e/3^ѓ]"1;pe놙M$-icj\|pX2>[[m{fc +B.(Qj}d]p []n+^( 6W vbհN^A>>z*I8O^[K[ȶ U-C9nznM ͮ}\}O]gYԌK"?{XDR5Ly>Z@郏oۂfAB=L#.3r'3c/y2_&'0mX5I u=kvs._=U_ݧ`Mgd3 &zE$ O>; 3Br䆬ZmUkkqh#4?*NҰ-~Rp1%>kM˫B_PӾ+ c悞Q]8" O18#ĩu?e!Nb}e>Y|ɥЋJ.š}d<C)#|b<9 +H[ bAbrps]Kbe̓mᓟKPy{i~ړ^6^Z#q~>>h?azIH@ 9D zR +סlֆ^7~q>^#;`07u*8n0t$3 a0S77#x)}lNf%Ԫh4e1'Z[̴;ͯsPw6#hpx{pu U:P"󹍰jcyj3 C< |Pm/m +He58lV|s%Jf/T|""]xgM=#M="*u>H/WcfсLFBHR9kT y_Sk  b6'w(H`0'&ᝉ@ a' "$),7% #3cᩕ0 _G'ŦQ-Ƈ qòyBYtfW0afV K"sAGHR L >\{Rk%q{SjU>bԢ|T>>1N]#R7Q>0GZs,]-G z|J@(7/2C5(G}⁹+`E*} ػj4J.AQEY蓻NWu1="+(2w8Ti1e>sW+D1:LLI$*ju&.['0IZ^wŠ_\TcF Xb9U챎3%]% )w ,I-e!B`Rq9/5OZc/XY+Ex9t2"ExJ eyex8^Hj~OZH +jQ\,kYRHQY!I}ZAvŠE~v0^`جgc?f=l֗-16/ד*nݯ'U>׷C7cR;RH(S(<84ד*lMNԭp@(T-R(`v{@bA('L `_?8A0Z 3UJll?U>A SuPX)^ѩ' ŏztjLjFq7 , K#ZH@ϕ+J @GrO=F,Tā!Dw!tP`]⒵1FJ^ʞ '0, ZXt_nGܩ,v4Bu)蠫$;.[GhUTpjRDO֕Mή`)uMza037UDulRQl#]{T~܄`!5ě*,h7UZ4oʅ&[3s (E_7"SJjzAr9v|F,4nlmF*4n.Hum.UBJB+!G}b9uQJ58,B=&+Dh䙑n+M3!Ӊ]zB]sfB`ӅBw뷢o;kϪhB6Cx6"P.B ˪XiBnXU+Mhߍcb jemTKG·vIu *SJYU)M6ւU҄mLR&4oxj&$Vz oѹ )Un4͑"YUXH?9P*4GhB6"H]ogIݝ~@Yh$tƪgswG#}0h1wNn UOrc)0 2Aƽl;!J~$IZn\V%?#[+L.7rY \l.ꠁ8hs1* ]C.UQJ UUpDw`( nH?1+$ӅWo#rq(r)XUR?%,\F+{j0 H=*1ھTd4X1 i:5nh:&BTyRÉ e؎^ +%04PG#tI=쵈R*EC' 6] 8u`;CfZ7o-dU46E)Mp snU4$&0 +I oo#h}"0QD4|#jnB=HB`FuI l_iGC_P `uQ) +rKB֭[J9..0WS2aLKw`cXE)Wq'[kRѯ,.9%BqW`H@<ӯv7'Oh`;~x>̨')7أ#c̐H;705A(b +=@z`Tϩa@)dy2A"af\x)2Z125?D' (]J9>L@D`e~Fʠф8]3r.Cf@LHӦW?i +fdg(eÄ^W s2h`.o M[+D_4 +6~ho.Y&j|F`ޟ@S9gT>9ȟ @+3ψ|Z`sU>#'y  e} K|\](1?]Eh;x;YF*jI׶h\oBq%mh\ ^v^ LD㒸[s9`}WĥtOzثq=Bt@\&#@[2UϸnE`_{U3Yoؾ$T>q#sQJ}K-`1 +Ffb_74Yoy#뜽jhX7;TQS@e*;*"n&XTMq}0qIUn&UQľD&-8r( +;aC) ?ڡ96{Gcn5kؤj~8I>9U{A0*flR5?3SE?{!j~䴫/MG@b3,MZxJfh MV +~=x)e +GC]&TяM>,<` +\Y.))u s{8>xxOop݋_}w/?/Ëˏ^?~7߿S\WJk6n +endstream +endobj + +627 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 574 0 R + /f2 580 0 R + /f3 568 0 R + /f4 592 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 6 + /Parent 1 0 R + /Contents 628 0 R +>> +endobj + +628 0 obj +<< + /Length 2208 + /Filter /FlateDecode +>> +stream +x\ߓ ~_$jp$@df&vI;L;[]X^ԇve {&EkK{Ƚafӽx˯7ts^oۇժ?~}ڼ_/{ͫ3.l"B-En..oLwtݬ/W ӭw[ݽ|Y]kckcpJ W?\yzn;˻aCJ)q n2hA, 8$=|7-V[|Zs?Zë~ނAbB2 mV`nj➙48GщZN0LXۇ7D w}?M68 cXsqjNnh{6 8 j=Gw$&AЏmҞCxAntdyq"l \Oizk)]ֿ߯vݮE?01]o6;~5s#.k'gܕ8s,(րc} PQ H +hB HQ jLm0́C~@yO|(cy0Q`xϊğ1RhOVb` +KD_jo4E?_<"am&ڎvT!L0 Xvcz ^">R93PbY:ECD*BD| #1b +{i>3،ọ$( Zo zX/ ޢ-LZ0战 .e0G_'&]Lɂ \5bNئy8ZEc4f8s4Slkٟ$gՠZt 8Ղ|!AkQ8ivCxIT.^]>/}ح!z>dB%Б*dR)$MHgϬ3B ') +ILבFP[fN鄋'So\S=oX]K^(O&H1:Y"Ljൎ E[zDЦy_b=;e ͗+Y>6T xVEQIJyh명RΞ&!Z<&o1j"8_> !?z:{ݐ^ЗGķE%"!Ev@X)bFmmM;NIMQ`1WaOJQg%(FYr}&keʋ +@S +X ж؂ GW->iD޻^4!(oK!{(jkĪu``7A,Ja}(_{F x-yZ$ǀ3_6@(@fM@/D@| `y~YF𾼵\|N05v;Vvyf 1@(֚O j^QDyTH>0b%_ @C$bڵXxo8gs> + /Font << + /f0 562 0 R + /f1 574 0 R + /f2 580 0 R + /f3 568 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 7 + /Parent 1 0 R + /Contents 630 0 R +>> +endobj + +630 0 obj +<< + /Length 5295 + /Filter /FlateDecode +>> +stream +x]ߓq~߿b✵Jݍ)G$;r)o{Xg|̫} +Crmf"FpM_]u}}{s[~~Oﺛ}wgϺ}y+Lg3E$@nޚퟯLW/nLwthǫo6Ƽ6w{ݫݽݫ߽Ms|~_w_{H)%\k2dCx!fuvxeܻ'Ou~۫7/n^to^o;#X!bO] 8X,X;{Sk0Pw-`|=,etfN7&Gw#w7q3ǩ;lAصFn4ޟ- %kCl_SmouG_h_/KL0:9HΊqQn~tO^??sg:a!]w]yC~(!.)"` )Oqlӆ!8Y06b%['8}OZ}/6D8#`H5]` J`Zz IDM;i<st.@,Cu}iа8\FP _hrPuC1F#dR>sRC>R`J`B8c:C1')m#O)K K syRJ MKl0-!x!5( ,:vKLGJ6  rXLQ P P LlǔeQL ܟOe&W& ]L;@\ Ly8b iek!`0)j4B:5)R-QԖK$Jl#xӢymxg!b4St:S|M7deO(M}&|]N3b}ڵ0'%(GzL$ݓwץ1BŞb6ksi~KQmq_wȴ&~3 +_¡׸QbGJo\kATC.c}u`!-JbN1At{S)P5-Xbs#Zj%Α$Ɓ m {fs 2Đ0V =[p$zَcSR9aӢTxG8WGz?Opłs-Q9jޜ4GR <"O6"8W$Ԕrh@83L4@FEqf@`N?|9 _A y2e`]P |D̹}X-c"g 2iVpA7hՋ @ mˤٷj Bj3³Cc$6tUɤ9,κ }u7 +z珡@ 83`Â)ΧgPECc5 +EX@K!(qN +k33IcHeҸ7Dz j@Y+c bf`Dh|-ʔ5SXl@+t2cڟa9ϛubbcb&`2au@n0 k1ͯ"`*^RÐtҖPd`gg'9[L윯9krnBwea/<AG>5un.RN;nQ-JTTy4mZR閸(r)5TRlQl碇@iA,+ͪ)vE[E[EYj*r>:)Jt*v3X Dz䯶#To- +޲mȟCoN9**ތ/J@ֺ͔u90? Ϙ!#FY-oTx@ ,J߫>syA13$ckv mjS%>O.bvP5Ç4?ޑ^p(e-u-{:U,`K KV+/VRC,CГ>w] +w_ Z@vw]T,m:.Vb[* ]#:"ױ&t(j\sIlNَxo);Qc{@ȁWi VᎼu$pG^ H@Pc=`v~0\=V;Gx%WC80ѧݠg e-zJWoNb\G0 ںɠTRaQ(>A 0K Q-0bt,E,jsj *;>CPTxlM٫?:s;Ψa_K +٧{il=3n{Mz +iGx_@/+ 5S"<{ nHg7B9@q }q\k"Ý)ǪC;rScjQT!Ykld8m!8Hh:߯E!?SE(SE s7?^TgAZHZTweyA]!NQ枕P#RgmfW uYQNт[TPaQl8d'\yQ{ <7DH ॼM|ioOS?,$&4GQYS^H̹.:X4{&&K`2Č㹊N֪ϑ:\lj;Jc*]ugm NG7N)]'uEjNw@/fQu3Wv?e_ |HE/kpdCf~~V rbnOL:g:ˎ Mi_$ycenBjil|:k(,M=RaQ1;F'fkq!yz=ǓW'?Cϩl,06OtgNR0C\.gꫡpwǦ}%EIsYߠEUsԦY51`s PMֶZâ1@b7ՃЪYT6#9H[A-`Qیo3' -0^eQی`S \lo@jdXv WU1uw [(s״QhAӢB١6L,*scIy8-j1L5´wLٻ6$jP33{& 'Z:A>v #ɘr>Ud20hGRNFc,QlacS1ZBe.v-=Bre !eO =8j|QM +!BЩ9Z!K 7/O32WK(NΙa>r$F@rňM09] 8>|s(.4_2&祥P?ŇÏw_fu7mnÃx e99ڬR +endstream +endobj + +631 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 580 0 R + /f2 568 0 R + /f3 574 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 8 + /Parent 1 0 R + /Contents 632 0 R +>> +endobj + +632 0 obj +<< + /Length 3136 + /Filter /FlateDecode +>> +stream +x]Q ~ׯXa Isi;u[cĹNJ#W/Z[:A#Գ~wz0<{~}}o{v[o?.򧟯.p_78 Oq.3f ͳ7nx ڜ_lpq n\7}s{pzgqz|=^WOpwx6#C|Vg@lqzq7/mAPy/~lU/gH4B(`x5E$lnq/j.bt05"`pg_r 9a}-2ey ƀL =4dfpk=9X#3ڥ[s晇x/ "04Y6}Pvz!8/^m6|M pN)nNzTBJkF.^W_WI76V`AYI_[Sm,zaW7< X-[WސMH[XKȿ"{EĴwΚ!0U mxı>|`ջ2 QYR}Kdnś%ս$^u1ɃskT@N[U/2 3$ׁ8d r`J2yA(`e*r~o~fTD'ЃPGdA<xD'VYs~;!8Z+ \ڤ[+z&ZCGxmҗzb uSM/5O>3 ΞmH 4%p-# +CXC#!, $p=6 PCjnp'6}C׮%'h:A +#R7V1'=7]G0!8B`8P,i xYnDBҽ3xY]IWK dAL +1n piv9Y߿]L[ÎW +b\aBjj0N͘RP?1ۇ_>:[ϓGyD~8WpD.0W/&+ +x"E !P$Շ \ՓGV2/#D4Dbt;0{&3%`u!LQN!]&JN!=9 nEY?%oi uyI,c_݌mz|IyٕW+ܹQGo85|T WlT[ru()j@p03+(V 03 ߶ML& +p&Fl&62\7,̞,U:W>(.CUSkFyF5ndN,㺥=\1C;`QW|ʺ kdjl# U kE8S;˹r!Yj6L5ȯYY8m Axn6sƚ޵$לrB<$}-Yoz]QLG +'Aʆ)F*vFXq'6ƪ_ ŌꙷC<4T˫^)PjHC`o*RYso`M%n%V++ItgCݗrޖ=)ܺy/_ 2 +|1S ˄v~8#$HqI\S9/~ӂsv RN44Zx;(<3jU0@fB KԪ`R@:(!tf<#3µ @$S/ nPRq:3b6/"Q1zaD~4T+ff8>lfܤffNgZHL: 3j'qZb6&FW`)%ot +Y-*.GuLY92T˃LZݣyOg 1ygX5'̄E7=$٥ ۅ:]ӅzR$z7k._`V3>GP]\F9>7l&Ȁ xͻEP/r8oVl8P ^.zn%Y/B\ +rY ;luIzv)n"DA##.MWery>!ؔR&O@j1v4J6^С^\NI@/ #c5Ia0lJ,#U@P/HB+!Y#gD>;ze lM/Ўr? },xhfVq~LSPnQFW?Yrb#8pn~h~'`DPT]j.u&aXfy f6hݝ> +endobj + +634 0 obj +<< + /Length 996 + /Type /Metadata + /Subtype /XML +>> +stream +Typst 0.14.2en2026-04-17T14:26:38+08:002026-04-17T14:26:38+08:008application/pdf2uepAViwBX4Z1uY5fvIIyQ==2uepAViwBX4Z1uY5fvIIyQ==proof1.7 +endstream +endobj + +635 0 obj +<< + /Type /Catalog + /Pages 1 0 R + /Metadata 634 0 R + /PageLabels 19 0 R + /Lang (en) + /StructTreeRoot 20 0 R + /MarkInfo << + /Marked true + /Suspects false + >> + /ViewerPreferences << + /Direction /L2R + >> + /Outlines 2 0 R +>> +endobj + +xref +0 636 +0000000000 65535 f +0000000016 00000 n +0000000138 00000 n +0000000219 00000 n +0000000391 00000 n +0000000487 00000 n +0000000575 00000 n +0000000743 00000 n +0000000855 00000 n +0000000983 00000 n +0000001073 00000 n +0000001249 00000 n +0000001384 00000 n +0000001510 00000 n +0000001630 00000 n +0000001795 00000 n +0000001925 00000 n +0000002046 00000 n +0000002173 00000 n +0000002266 00000 n +0000002379 00000 n +0000002681 00000 n +0000005780 00000 n +0000007487 00000 n +0000013146 00000 n +0000013205 00000 n +0000018072 00000 n +0000019019 00000 n +0000021738 00000 n +0000023073 00000 n +0000024049 00000 n +0000024163 00000 n +0000024256 00000 n +0000024349 00000 n +0000024603 00000 n +0000024691 00000 n +0000024798 00000 n +0000024900 00000 n +0000025114 00000 n +0000025207 00000 n +0000025284 00000 n +0000025377 00000 n +0000025592 00000 n +0000025691 00000 n +0000025872 00000 n +0000026053 00000 n +0000026234 00000 n +0000026415 00000 n +0000026514 00000 n +0000026695 00000 n +0000026876 00000 n +0000027057 00000 n +0000027238 00000 n +0000027337 00000 n +0000027518 00000 n +0000027699 00000 n +0000027880 00000 n +0000028061 00000 n +0000028160 00000 n +0000028341 00000 n +0000028522 00000 n +0000028703 00000 n +0000028884 00000 n +0000028983 00000 n +0000029164 00000 n +0000029345 00000 n +0000029525 00000 n +0000029705 00000 n +0000029804 00000 n +0000029984 00000 n +0000030164 00000 n +0000030344 00000 n +0000030524 00000 n +0000030623 00000 n +0000030803 00000 n +0000030983 00000 n +0000031163 00000 n +0000031343 00000 n +0000031442 00000 n +0000031622 00000 n +0000031802 00000 n +0000031982 00000 n +0000032162 00000 n +0000032261 00000 n +0000032431 00000 n +0000032527 00000 n +0000032697 00000 n +0000032793 00000 n +0000032963 00000 n +0000033059 00000 n +0000033239 00000 n +0000033608 00000 n +0000033685 00000 n +0000033778 00000 n +0000033904 00000 n +0000034006 00000 n +0000034220 00000 n +0000034313 00000 n +0000034390 00000 n +0000034483 00000 n +0000034707 00000 n +0000034811 00000 n +0000034994 00000 n +0000035177 00000 n +0000035360 00000 n +0000035543 00000 n +0000035647 00000 n +0000035830 00000 n +0000036013 00000 n +0000036196 00000 n +0000036379 00000 n +0000036483 00000 n +0000036666 00000 n +0000036849 00000 n +0000037032 00000 n +0000037215 00000 n +0000037319 00000 n +0000037502 00000 n +0000037685 00000 n +0000037868 00000 n +0000038051 00000 n +0000038155 00000 n +0000038338 00000 n +0000038521 00000 n +0000038704 00000 n +0000038887 00000 n +0000038991 00000 n +0000039174 00000 n +0000039357 00000 n +0000039540 00000 n +0000039723 00000 n +0000039827 00000 n +0000040010 00000 n +0000040193 00000 n +0000040376 00000 n +0000040559 00000 n +0000040663 00000 n +0000040846 00000 n +0000041029 00000 n +0000041212 00000 n +0000041395 00000 n +0000041499 00000 n +0000041672 00000 n +0000041772 00000 n +0000041945 00000 n +0000042045 00000 n +0000042218 00000 n +0000042318 00000 n +0000042501 00000 n +0000042606 00000 n +0000042750 00000 n +0000042845 00000 n +0000043280 00000 n +0000043359 00000 n +0000043454 00000 n +0000043575 00000 n +0000043664 00000 n +0000043814 00000 n +0000043903 00000 n +0000044009 00000 n +0000044165 00000 n +0000044257 00000 n +0000044346 00000 n +0000044464 00000 n +0000044592 00000 n +0000044704 00000 n +0000044796 00000 n +0000044885 00000 n +0000045003 00000 n +0000045135 00000 n +0000045247 00000 n +0000045339 00000 n +0000045428 00000 n +0000045674 00000 n +0000045770 00000 n +0000045864 00000 n +0000046014 00000 n +0000046103 00000 n +0000046218 00000 n +0000046337 00000 n +0000046444 00000 n +0000046535 00000 n +0000046624 00000 n +0000046739 00000 n +0000046861 00000 n +0000046968 00000 n +0000047059 00000 n +0000047148 00000 n +0000047263 00000 n +0000047385 00000 n +0000047492 00000 n +0000047583 00000 n +0000047662 00000 n +0000047756 00000 n +0000047900 00000 n +0000048120 00000 n +0000048207 00000 n +0000048342 00000 n +0000048443 00000 n +0000048555 00000 n +0000048659 00000 n +0000048823 00000 n +0000048917 00000 n +0000049016 00000 n +0000049147 00000 n +0000049289 00000 n +0000049378 00000 n +0000049493 00000 n +0000049603 00000 n +0000049710 00000 n +0000049801 00000 n +0000049890 00000 n +0000049994 00000 n +0000050092 00000 n +0000050183 00000 n +0000050262 00000 n +0000050356 00000 n +0000050455 00000 n +0000050565 00000 n +0000050715 00000 n +0000050804 00000 n +0000050927 00000 n +0000051025 00000 n +0000051123 00000 n +0000051233 00000 n +0000051324 00000 n +0000051413 00000 n +0000051525 00000 n +0000051635 00000 n +0000051736 00000 n +0000051827 00000 n +0000051916 00000 n +0000052028 00000 n +0000052123 00000 n +0000052224 00000 n +0000052314 00000 n +0000052409 00000 n +0000052502 00000 n +0000052588 00000 n +0000052685 00000 n +0000052778 00000 n +0000052875 00000 n +0000052969 00000 n +0000053102 00000 n +0000053457 00000 n +0000053536 00000 n +0000053631 00000 n +0000053805 00000 n +0000053894 00000 n +0000053978 00000 n +0000054170 00000 n +0000054262 00000 n +0000054351 00000 n +0000054435 00000 n +0000054639 00000 n +0000054731 00000 n +0000054820 00000 n +0000054904 00000 n +0000055116 00000 n +0000055208 00000 n +0000055297 00000 n +0000055381 00000 n +0000055605 00000 n +0000055697 00000 n +0000055786 00000 n +0000055870 00000 n +0000056094 00000 n +0000056186 00000 n +0000056275 00000 n +0000056359 00000 n +0000056535 00000 n +0000056627 00000 n +0000056706 00000 n +0000056801 00000 n +0000056967 00000 n +0000057056 00000 n +0000057182 00000 n +0000057314 00000 n +0000057446 00000 n +0000057610 00000 n +0000057702 00000 n +0000057791 00000 n +0000057917 00000 n +0000058049 00000 n +0000058181 00000 n +0000058345 00000 n +0000058437 00000 n +0000058526 00000 n +0000058652 00000 n +0000058784 00000 n +0000058916 00000 n +0000059080 00000 n +0000059172 00000 n +0000059261 00000 n +0000059387 00000 n +0000059507 00000 n +0000059639 00000 n +0000059795 00000 n +0000059887 00000 n +0000059976 00000 n +0000060102 00000 n +0000060290 00000 n +0000060470 00000 n +0000060606 00000 n +0000060698 00000 n +0000060777 00000 n +0000060872 00000 n +0000061081 00000 n +0000061186 00000 n +0000061369 00000 n +0000061552 00000 n +0000061735 00000 n +0000061918 00000 n +0000062023 00000 n +0000062206 00000 n +0000062389 00000 n +0000062572 00000 n +0000062755 00000 n +0000062860 00000 n +0000063043 00000 n +0000063226 00000 n +0000063409 00000 n +0000063592 00000 n +0000063697 00000 n +0000063880 00000 n +0000064063 00000 n +0000064246 00000 n +0000064429 00000 n +0000064534 00000 n +0000064717 00000 n +0000064900 00000 n +0000065083 00000 n +0000065266 00000 n +0000065371 00000 n +0000065554 00000 n +0000065737 00000 n +0000065920 00000 n +0000066103 00000 n +0000066208 00000 n +0000066391 00000 n +0000066574 00000 n +0000066757 00000 n +0000066940 00000 n +0000067019 00000 n +0000067114 00000 n +0000067240 00000 n +0000067470 00000 n +0000067560 00000 n +0000067650 00000 n +0000067740 00000 n +0000067830 00000 n +0000067903 00000 n +0000067993 00000 n +0000068083 00000 n +0000068173 00000 n +0000068263 00000 n +0000068353 00000 n +0000068426 00000 n +0000068516 00000 n +0000068606 00000 n +0000068685 00000 n +0000068780 00000 n +0000068930 00000 n +0000069019 00000 n +0000069133 00000 n +0000069229 00000 n +0000069329 00000 n +0000069421 00000 n +0000069510 00000 n +0000069623 00000 n +0000069725 00000 n +0000069823 00000 n +0000069914 00000 n +0000070003 00000 n +0000070115 00000 n +0000070210 00000 n +0000070308 00000 n +0000070399 00000 n +0000070487 00000 n +0000070636 00000 n +0000071021 00000 n +0000071108 00000 n +0000071240 00000 n +0000071339 00000 n +0000071435 00000 n +0000071585 00000 n +0000071674 00000 n +0000071812 00000 n +0000071924 00000 n +0000072032 00000 n +0000072148 00000 n +0000072248 00000 n +0000072340 00000 n +0000072429 00000 n +0000072567 00000 n +0000072679 00000 n +0000072787 00000 n +0000072903 00000 n +0000073003 00000 n +0000073095 00000 n +0000073184 00000 n +0000073322 00000 n +0000073426 00000 n +0000073546 00000 n +0000073666 00000 n +0000073766 00000 n +0000073858 00000 n +0000073947 00000 n +0000074055 00000 n +0000074302 00000 n +0000074381 00000 n +0000074476 00000 n +0000074565 00000 n +0000074697 00000 n +0000074960 00000 n +0000075039 00000 n +0000075134 00000 n +0000075284 00000 n +0000075373 00000 n +0000075457 00000 n +0000075741 00000 n +0000075833 00000 n +0000075922 00000 n +0000076006 00000 n +0000076266 00000 n +0000076358 00000 n +0000076447 00000 n +0000076531 00000 n +0000076731 00000 n +0000076823 00000 n +0000076902 00000 n +0000076997 00000 n +0000077380 00000 n +0000077469 00000 n +0000077566 00000 n +0000077758 00000 n +0000077855 00000 n +0000077950 00000 n +0000078092 00000 n +0000078181 00000 n +0000078283 00000 n +0000078451 00000 n +0000078543 00000 n +0000078632 00000 n +0000078734 00000 n +0000078898 00000 n +0000078990 00000 n +0000079079 00000 n +0000079158 00000 n +0000079253 00000 n +0000079656 00000 n +0000079745 00000 n +0000079854 00000 n +0000080030 00000 n +0000080202 00000 n +0000080291 00000 n +0000080441 00000 n +0000080530 00000 n +0000080632 00000 n +0000080788 00000 n +0000080880 00000 n +0000080969 00000 n +0000081071 00000 n +0000081227 00000 n +0000081319 00000 n +0000081408 00000 n +0000081510 00000 n +0000081666 00000 n +0000081758 00000 n +0000081847 00000 n +0000081926 00000 n +0000082021 00000 n +0000082171 00000 n +0000082260 00000 n +0000082344 00000 n +0000082560 00000 n +0000082652 00000 n +0000082741 00000 n +0000082825 00000 n +0000083037 00000 n +0000083128 00000 n +0000083217 00000 n +0000083301 00000 n +0000083489 00000 n +0000083580 00000 n +0000083659 00000 n +0000083753 00000 n +0000083882 00000 n +0000084177 00000 n +0000084264 00000 n +0000084391 00000 n +0000084488 00000 n +0000084583 00000 n +0000084914 00000 n +0000085020 00000 n +0000085178 00000 n +0000085267 00000 n +0000085351 00000 n +0000085675 00000 n +0000085767 00000 n +0000085856 00000 n +0000085940 00000 n +0000086163 00000 n +0000086254 00000 n +0000086343 00000 n +0000086427 00000 n +0000086615 00000 n +0000086706 00000 n +0000086795 00000 n +0000086879 00000 n +0000087034 00000 n +0000087124 00000 n +0000087203 00000 n +0000087298 00000 n +0000087597 00000 n +0000087686 00000 n +0000087783 00000 n +0000087955 00000 n +0000088246 00000 n +0000088335 00000 n +0000088452 00000 n +0000088547 00000 n +0000088695 00000 n +0000088790 00000 n +0000089081 00000 n +0000089170 00000 n +0000089279 00000 n +0000089423 00000 n +0000089579 00000 n +0000089700 00000 n +0000089852 00000 n +0000089964 00000 n +0000090059 00000 n +0000090378 00000 n +0000090467 00000 n +0000090588 00000 n +0000090720 00000 n +0000090856 00000 n +0000090968 00000 n +0000091086 00000 n +0000091223 00000 n +0000091330 00000 n +0000091424 00000 n +0000091648 00000 n +0000091727 00000 n +0000091821 00000 n +0000091934 00000 n +0000092194 00000 n +0000092281 00000 n +0000092427 00000 n +0000092508 00000 n +0000092598 00000 n +0000092798 00000 n +0000092943 00000 n +0000093085 00000 n +0000093144 00000 n +0000093203 00000 n +0000093262 00000 n +0000093321 00000 n +0000093380 00000 n +0000093439 00000 n +0000093498 00000 n +0000093557 00000 n +0000093742 00000 n +0000094622 00000 n +0000094713 00000 n +0000094969 00000 n +0000096643 00000 n +0000104494 00000 n +0000104676 00000 n +0000105427 00000 n +0000105518 00000 n +0000105772 00000 n +0000107196 00000 n +0000113274 00000 n +0000113438 00000 n +0000114177 00000 n +0000114268 00000 n +0000114516 00000 n +0000115894 00000 n +0000123924 00000 n +0000124100 00000 n +0000124830 00000 n +0000124921 00000 n +0000125168 00000 n +0000126798 00000 n +0000134919 00000 n +0000135078 00000 n +0000135340 00000 n +0000135432 00000 n +0000135704 00000 n +0000136980 00000 n +0000147335 00000 n +0000147511 00000 n +0000147772 00000 n +0000147858 00000 n +0000148103 00000 n +0000148835 00000 n +0000149612 00000 n +0000149650 00000 n +0000150009 00000 n +0000150062 00000 n +0000150115 00000 n +0000150168 00000 n +0000150221 00000 n +0000150274 00000 n +0000150327 00000 n +0000150380 00000 n +0000150434 00000 n +0000150485 00000 n +0000150538 00000 n +0000150591 00000 n +0000150644 00000 n +0000150698 00000 n +0000150752 00000 n +0000150805 00000 n +0000150858 00000 n +0000151129 00000 n +0000151488 00000 n +0000157084 00000 n +0000157412 00000 n +0000160283 00000 n +0000160611 00000 n +0000169665 00000 n +0000169957 00000 n +0000170639 00000 n +0000170985 00000 n +0000179499 00000 n +0000179845 00000 n +0000182133 00000 n +0000182461 00000 n +0000187836 00000 n +0000188164 00000 n +0000191380 00000 n +0000191507 00000 n +0000192593 00000 n +trailer +<< + /Size 636 + /Root 635 0 R + /Info 633 0 R + /ID [(2uepAViwBX4Z1uY5fvIIyQ==) (2uepAViwBX4Z1uY5fvIIyQ==)] +>> +startxref +192852 +%%EOF \ No newline at end of file diff --git a/NM_2026_Assignment2.pdf b/NM_2026_Assignment2.pdf new file mode 100644 index 0000000..b1b4d76 Binary files /dev/null and b/NM_2026_Assignment2.pdf differ diff --git a/docs/main.pdf b/docs/main.pdf new file mode 100644 index 0000000..655b3ea --- /dev/null +++ b/docs/main.pdf @@ -0,0 +1,8569 @@ +%PDF-1.7 +% + +1 0 obj +<< + /Type /Pages + /Count 8 + /Kids [617 0 R 619 0 R 621 0 R 623 0 R 625 0 R 627 0 R 629 0 R 631 0 R] +>> +endobj + +2 0 obj +<< + /Type /Outlines + /First 3 0 R + /Last 14 0 R + /Count 4 +>> +endobj + +3 0 obj +<< + /Parent 2 0 R + /Next 6 0 R + /First 4 0 R + /Last 5 0 R + /Count -2 + /Title (1. Gaussian Elimination with Partial Pivoting (15%)) + /Dest 602 0 R +>> +endobj + +4 0 obj +<< + /Parent 3 0 R + /Next 5 0 R + /Title (Solution Process) + /Dest 600 0 R +>> +endobj + +5 0 obj +<< + /Parent 3 0 R + /Prev 4 0 R + /Title (Solution) + /Dest 601 0 R +>> +endobj + +6 0 obj +<< + /Parent 2 0 R + /Next 10 0 R + /Prev 3 0 R + /First 7 0 R + /Last 9 0 R + /Count -3 + /Title (2. Scaled Partial Pivoting (25%)) + /Dest 606 0 R +>> +endobj + +7 0 obj +<< + /Parent 6 0 R + /Next 8 0 R + /Title (Part (a): Six Significant Digits) + /Dest 603 0 R +>> +endobj + +8 0 obj +<< + /Parent 6 0 R + /Next 9 0 R + /Prev 7 0 R + /Title (Part (b): Three Significant Digits) + /Dest 604 0 R +>> +endobj + +9 0 obj +<< + /Parent 6 0 R + /Prev 8 0 R + /Title (Comparison) + /Dest 605 0 R +>> +endobj + +10 0 obj +<< + /Parent 2 0 R + /Next 14 0 R + /Prev 6 0 R + /First 11 0 R + /Last 13 0 R + /Count -3 + /Title (3. Symmetric Tridiagonal System (30%)) + /Dest 610 0 R +>> +endobj + +11 0 obj +<< + /Parent 10 0 R + /Next 12 0 R + /Title (Part (a): Algorithm for Symmetric Tridiagonal System) + /Dest 607 0 R +>> +endobj + +12 0 obj +<< + /Parent 10 0 R + /Next 13 0 R + /Prev 11 0 R + /Title (Part (b): Solving the System) + /Dest 608 0 R +>> +endobj + +13 0 obj +<< + /Parent 10 0 R + /Prev 12 0 R + /Title (Part (c): Arithmetic Operations Count) + /Dest 609 0 R +>> +endobj + +14 0 obj +<< + /Parent 2 0 R + /Prev 10 0 R + /First 15 0 R + /Last 18 0 R + /Count -4 + /Title (4. Jacobi and Gauss-Seidel Methods (40%)) + /Dest 615 0 R +>> +endobj + +15 0 obj +<< + /Parent 14 0 R + /Next 16 0 R + /Title (Checking and Rearranging for Diagonal Dominance) + /Dest 611 0 R +>> +endobj + +16 0 obj +<< + /Parent 14 0 R + /Next 17 0 R + /Prev 15 0 R + /Title (Part (a): Jacobi Method) + /Dest 612 0 R +>> +endobj + +17 0 obj +<< + /Parent 14 0 R + /Next 18 0 R + /Prev 16 0 R + /Title (Part (b): Gauss-Seidel Method) + /Dest 613 0 R +>> +endobj + +18 0 obj +<< + /Parent 14 0 R + /Prev 17 0 R + /Title (Comparison) + /Dest 614 0 R +>> +endobj + +19 0 obj +<< + /Nums [0 554 0 R 1 555 0 R 2 556 0 R 3 557 0 R 4 558 0 R 5 559 0 R 6 560 0 R 7 561 0 R] +>> +endobj + +20 0 obj +<< + /Type /StructTreeRoot + /RoleMap << + /Datetime /Span + /Terms /Part + /Title /P + /Strong /Span + /Em /Span + >> + /K [29 0 R] + /ParentTree << + /Nums [0 551 0 R 1 21 0 R 2 22 0 R 3 23 0 R 4 24 0 R 5 25 0 R 6 26 0 R 7 27 0 R 8 28 0 R] + >> + /ParentTreeNextKey 9 +>> +endobj + +21 0 obj +[553 0 R 552 0 R 552 0 R 551 0 R 548 0 R 548 0 R 547 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 546 0 R 545 0 R 544 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 542 0 R 541 0 R 538 0 R 540 0 R 540 0 R 540 0 R 540 0 R 540 0 R 538 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 539 0 R 538 0 R 534 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 534 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 534 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 533 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 532 0 R 531 0 R 528 0 R 530 0 R 530 0 R 530 0 R 530 0 R 530 0 R 528 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 529 0 R 528 0 R 525 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 527 0 R 525 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 526 0 R 524 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 523 0 R 522 0 R 519 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 521 0 R 519 0 R 520 0 R 518 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 517 0 R 515 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 516 0 R 514 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 512 0 R] +endobj + +22 0 obj +[510 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 509 0 R 506 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 505 0 R 502 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 501 0 R 498 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 497 0 R 493 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 491 0 R 490 0 R] +endobj + +23 0 obj +[489 0 R 489 0 R 488 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 487 0 R 486 0 R 485 0 R 483 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 479 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 478 0 R 475 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 474 0 R 470 0 R 468 0 R 467 0 R 465 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 466 0 R 463 0 R 461 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 462 0 R 459 0 R 457 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 458 0 R 454 0 R 451 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 453 0 R 451 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 452 0 R 450 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 449 0 R 448 0 R 446 0 R 445 0 R 443 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 444 0 R 441 0 R 439 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 440 0 R 435 0 R 436 0 R 433 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 434 0 R 432 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 431 0 R 430 0 R 428 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 427 0 R 424 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 423 0 R 420 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 419 0 R 415 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 413 0 R 412 0 R 411 0 R 410 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 408 0 R 407 0 R 406 0 R 405 0 R 404 0 R 404 0 R 400 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 400 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 400 0 R 401 0 R 401 0 R 401 0 R 400 0 R 398 0 R 397 0 R 397 0 R 393 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 393 0 R 395 0 R 395 0 R 395 0 R 395 0 R 393 0 R 394 0 R 394 0 R 394 0 R 394 0 R 394 0 R 393 0 R 391 0 R 390 0 R 390 0 R 386 0 R 389 0 R 389 0 R 389 0 R 389 0 R 389 0 R 389 0 R 386 0 R 388 0 R 388 0 R 388 0 R 388 0 R 386 0 R 387 0 R 387 0 R 387 0 R 387 0 R 387 0 R 386 0 R] +endobj + +24 0 obj +[382 0 R 383 0 R 383 0 R 382 0 R 382 0 R] +endobj + +25 0 obj +[381 0 R 381 0 R 380 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 379 0 R 378 0 R 377 0 R 376 0 R 375 0 R 375 0 R 373 0 R 374 0 R 373 0 R 371 0 R 370 0 R 370 0 R 368 0 R 369 0 R 369 0 R 369 0 R 368 0 R 366 0 R 365 0 R 365 0 R 363 0 R 364 0 R 363 0 R 360 0 R 358 0 R 357 0 R 355 0 R 354 0 R 353 0 R 352 0 R 351 0 R 349 0 R 348 0 R 347 0 R 346 0 R 344 0 R 343 0 R 341 0 R 340 0 R 339 0 R 338 0 R 336 0 R 335 0 R 334 0 R 333 0 R 331 0 R 330 0 R 329 0 R 328 0 R 326 0 R 325 0 R 324 0 R 323 0 R 321 0 R 320 0 R 319 0 R 318 0 R 316 0 R 315 0 R 314 0 R 313 0 R 311 0 R 310 0 R 309 0 R 308 0 R 305 0 R 303 0 R 299 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 302 0 R 299 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 301 0 R 299 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 300 0 R 297 0 R 293 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 293 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 295 0 R 293 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 291 0 R 287 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 290 0 R 287 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 289 0 R 287 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 285 0 R 281 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 284 0 R 281 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 281 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 282 0 R 279 0 R 275 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 278 0 R 275 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 275 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 276 0 R 272 0 R 270 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 269 0 R 266 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 262 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 258 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 254 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 250 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 249 0 R 245 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R] +endobj + +26 0 obj +[242 0 R 240 0 R 241 0 R 240 0 R 239 0 R 238 0 R 238 0 R 238 0 R 236 0 R 234 0 R 233 0 R 233 0 R 233 0 R 231 0 R 232 0 R 231 0 R 229 0 R 228 0 R 228 0 R 228 0 R 226 0 R 227 0 R 227 0 R 227 0 R 227 0 R 227 0 R 227 0 R 226 0 R 224 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 220 0 R 222 0 R 222 0 R 220 0 R 221 0 R 221 0 R 220 0 R 216 0 R 217 0 R 217 0 R 217 0 R 217 0 R 217 0 R 217 0 R 216 0 R 215 0 R 213 0 R 211 0 R 212 0 R 212 0 R 211 0 R 209 0 R 206 0 R 208 0 R 208 0 R 208 0 R 208 0 R 208 0 R 206 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 206 0 R 202 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 202 0 R 201 0 R 199 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 197 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 197 0 R] +endobj + +27 0 obj +[196 0 R 196 0 R 195 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 193 0 R 192 0 R 190 0 R 187 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 187 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 187 0 R 185 0 R 182 0 R 184 0 R 184 0 R 184 0 R 184 0 R 184 0 R 182 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 182 0 R 180 0 R 177 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 177 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 177 0 R 174 0 R 173 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 171 0 R 170 0 R 167 0 R 169 0 R 169 0 R 169 0 R 169 0 R 169 0 R 167 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 167 0 R 165 0 R 162 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 162 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 162 0 R 160 0 R 158 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 158 0 R 155 0 R 154 0 R 153 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 150 0 R 148 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 147 0 R 146 0 R 146 0 R 144 0 R 144 0 R 142 0 R 142 0 R 139 0 R 138 0 R 137 0 R 136 0 R 134 0 R 133 0 R 132 0 R 131 0 R 129 0 R 128 0 R 127 0 R 126 0 R 124 0 R 123 0 R 122 0 R 121 0 R 119 0 R 118 0 R 117 0 R 116 0 R 114 0 R 113 0 R 112 0 R 111 0 R 109 0 R 108 0 R 107 0 R 106 0 R 104 0 R 103 0 R 102 0 R 101 0 R 98 0 R 96 0 R 94 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 93 0 R 92 0 R] +endobj + +28 0 obj +[90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 89 0 R 88 0 R 88 0 R 86 0 R 86 0 R 84 0 R 84 0 R 81 0 R 80 0 R 79 0 R 78 0 R 76 0 R 75 0 R 74 0 R 73 0 R 71 0 R 70 0 R 69 0 R 68 0 R 66 0 R 65 0 R 64 0 R 63 0 R 61 0 R 60 0 R 59 0 R 58 0 R 56 0 R 55 0 R 54 0 R 53 0 R 51 0 R 50 0 R 49 0 R 48 0 R 46 0 R 45 0 R 44 0 R 43 0 R 40 0 R 38 0 R 36 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 35 0 R 34 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 30 0 R 32 0 R 30 0 R 31 0 R 30 0 R 30 0 R] +endobj + +29 0 obj +<< + /Type /StructElem + /S /Document + /P 20 0 R + /K [553 0 R 549 0 R 548 0 R 547 0 R 546 0 R 545 0 R 543 0 R 542 0 R 538 0 R 534 0 R 533 0 R 532 0 R 528 0 R 525 0 R 524 0 R 523 0 R 519 0 R 518 0 R 517 0 R 515 0 R 514 0 R 513 0 R 511 0 R 494 0 R 493 0 R 492 0 R 490 0 R 489 0 R 488 0 R 487 0 R 486 0 R 484 0 R 471 0 R 469 0 R 468 0 R 455 0 R 454 0 R 451 0 R 450 0 R 449 0 R 447 0 R 446 0 R 437 0 R 435 0 R 433 0 R 432 0 R 431 0 R 429 0 R 416 0 R 414 0 R 413 0 R 412 0 R 411 0 R 409 0 R 408 0 R 407 0 R 406 0 R 384 0 R 382 0 R 381 0 R 380 0 R 379 0 R 378 0 R 377 0 R 361 0 R 359 0 R 345 0 R 344 0 R 342 0 R 306 0 R 304 0 R 273 0 R 271 0 R 246 0 R 244 0 R 243 0 R 242 0 R 240 0 R 235 0 R 218 0 R 216 0 R 214 0 R 204 0 R 202 0 R 199 0 R 197 0 R 196 0 R 195 0 R 194 0 R 193 0 R 191 0 R 175 0 R 173 0 R 172 0 R 171 0 R 156 0 R 155 0 R 154 0 R 152 0 R 151 0 R 148 0 R 99 0 R 97 0 R 94 0 R 93 0 R 91 0 R 90 0 R 41 0 R 39 0 R 36 0 R 35 0 R 34 0 R 33 0 R 30 0 R] +>> +endobj + +30 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [182 32 0 R 184 31 0 R 186 187] + /Pg 631 0 R +>> +endobj + +31 0 obj +<< + /Type /StructElem + /S /Strong + /P 30 0 R + /K [185] + /Pg 631 0 R +>> +endobj + +32 0 obj +<< + /Type /StructElem + /S /Strong + /P 30 0 R + /K [183] + /Pg 631 0 R +>> +endobj + +33 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181] + /Pg 631 0 R +>> +endobj + +34 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [153] + /Pg 631 0 R +>> +endobj + +35 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Comparison) + /K [152] + /Pg 631 0 R +>> +endobj + +36 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [38 0 R 120 37 0 R] + /Pg 631 0 R +>> +endobj + +37 0 obj +<< + /Type /StructElem + /S /Formula + /P 36 0 R + /K [121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151] + /Pg 631 0 R +>> +endobj + +38 0 obj +<< + /Type /StructElem + /S /Strong + /P 36 0 R + /K [119] + /Pg 631 0 R +>> +endobj + +39 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [40 0 R] +>> +endobj + +40 0 obj +<< + /Type /StructElem + /S /Strong + /P 39 0 R + /K [118] + /Pg 631 0 R +>> +endobj + +41 0 obj +<< + /Type /StructElem + /S /Table + /P 29 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [82 0 R 77 0 R 72 0 R 67 0 R 62 0 R 57 0 R 52 0 R 47 0 R 42 0 R] +>> +endobj + +42 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [46 0 R 45 0 R 44 0 R 43 0 R] +>> +endobj + +43 0 obj +<< + /Type /StructElem + /S /TD + /P 42 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [117] + /Pg 631 0 R +>> +endobj + +44 0 obj +<< + /Type /StructElem + /S /TD + /P 42 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [116] + /Pg 631 0 R +>> +endobj + +45 0 obj +<< + /Type /StructElem + /S /TD + /P 42 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [115] + /Pg 631 0 R +>> +endobj + +46 0 obj +<< + /Type /StructElem + /S /TD + /P 42 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [114] + /Pg 631 0 R +>> +endobj + +47 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [51 0 R 50 0 R 49 0 R 48 0 R] +>> +endobj + +48 0 obj +<< + /Type /StructElem + /S /TD + /P 47 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [113] + /Pg 631 0 R +>> +endobj + +49 0 obj +<< + /Type /StructElem + /S /TD + /P 47 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [112] + /Pg 631 0 R +>> +endobj + +50 0 obj +<< + /Type /StructElem + /S /TD + /P 47 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [111] + /Pg 631 0 R +>> +endobj + +51 0 obj +<< + /Type /StructElem + /S /TD + /P 47 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [110] + /Pg 631 0 R +>> +endobj + +52 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [56 0 R 55 0 R 54 0 R 53 0 R] +>> +endobj + +53 0 obj +<< + /Type /StructElem + /S /TD + /P 52 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [109] + /Pg 631 0 R +>> +endobj + +54 0 obj +<< + /Type /StructElem + /S /TD + /P 52 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [108] + /Pg 631 0 R +>> +endobj + +55 0 obj +<< + /Type /StructElem + /S /TD + /P 52 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [107] + /Pg 631 0 R +>> +endobj + +56 0 obj +<< + /Type /StructElem + /S /TD + /P 52 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [106] + /Pg 631 0 R +>> +endobj + +57 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [61 0 R 60 0 R 59 0 R 58 0 R] +>> +endobj + +58 0 obj +<< + /Type /StructElem + /S /TD + /P 57 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [105] + /Pg 631 0 R +>> +endobj + +59 0 obj +<< + /Type /StructElem + /S /TD + /P 57 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [104] + /Pg 631 0 R +>> +endobj + +60 0 obj +<< + /Type /StructElem + /S /TD + /P 57 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [103] + /Pg 631 0 R +>> +endobj + +61 0 obj +<< + /Type /StructElem + /S /TD + /P 57 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [102] + /Pg 631 0 R +>> +endobj + +62 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [66 0 R 65 0 R 64 0 R 63 0 R] +>> +endobj + +63 0 obj +<< + /Type /StructElem + /S /TD + /P 62 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [101] + /Pg 631 0 R +>> +endobj + +64 0 obj +<< + /Type /StructElem + /S /TD + /P 62 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [100] + /Pg 631 0 R +>> +endobj + +65 0 obj +<< + /Type /StructElem + /S /TD + /P 62 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [99] + /Pg 631 0 R +>> +endobj + +66 0 obj +<< + /Type /StructElem + /S /TD + /P 62 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [98] + /Pg 631 0 R +>> +endobj + +67 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [71 0 R 70 0 R 69 0 R 68 0 R] +>> +endobj + +68 0 obj +<< + /Type /StructElem + /S /TD + /P 67 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [97] + /Pg 631 0 R +>> +endobj + +69 0 obj +<< + /Type /StructElem + /S /TD + /P 67 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [96] + /Pg 631 0 R +>> +endobj + +70 0 obj +<< + /Type /StructElem + /S /TD + /P 67 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [95] + /Pg 631 0 R +>> +endobj + +71 0 obj +<< + /Type /StructElem + /S /TD + /P 67 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [94] + /Pg 631 0 R +>> +endobj + +72 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [76 0 R 75 0 R 74 0 R 73 0 R] +>> +endobj + +73 0 obj +<< + /Type /StructElem + /S /TD + /P 72 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [93] + /Pg 631 0 R +>> +endobj + +74 0 obj +<< + /Type /StructElem + /S /TD + /P 72 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [92] + /Pg 631 0 R +>> +endobj + +75 0 obj +<< + /Type /StructElem + /S /TD + /P 72 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [91] + /Pg 631 0 R +>> +endobj + +76 0 obj +<< + /Type /StructElem + /S /TD + /P 72 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [90] + /Pg 631 0 R +>> +endobj + +77 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [81 0 R 80 0 R 79 0 R 78 0 R] +>> +endobj + +78 0 obj +<< + /Type /StructElem + /S /TD + /P 77 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [89] + /Pg 631 0 R +>> +endobj + +79 0 obj +<< + /Type /StructElem + /S /TD + /P 77 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [88] + /Pg 631 0 R +>> +endobj + +80 0 obj +<< + /Type /StructElem + /S /TD + /P 77 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [87] + /Pg 631 0 R +>> +endobj + +81 0 obj +<< + /Type /StructElem + /S /TD + /P 77 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [86] + /Pg 631 0 R +>> +endobj + +82 0 obj +<< + /Type /StructElem + /S /TR + /P 41 0 R + /K [89 0 R 87 0 R 85 0 R 83 0 R] +>> +endobj + +83 0 obj +<< + /Type /StructElem + /S /TD + /P 82 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [84 0 R] +>> +endobj + +84 0 obj +<< + /Type /StructElem + /S /Formula + /P 83 0 R + /K [84 85] + /Pg 631 0 R +>> +endobj + +85 0 obj +<< + /Type /StructElem + /S /TD + /P 82 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [86 0 R] +>> +endobj + +86 0 obj +<< + /Type /StructElem + /S /Formula + /P 85 0 R + /K [82 83] + /Pg 631 0 R +>> +endobj + +87 0 obj +<< + /Type /StructElem + /S /TD + /P 82 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [88 0 R] +>> +endobj + +88 0 obj +<< + /Type /StructElem + /S /Formula + /P 87 0 R + /K [80 81] + /Pg 631 0 R +>> +endobj + +89 0 obj +<< + /Type /StructElem + /S /TD + /P 82 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [79] + /Pg 631 0 R +>> +endobj + +90 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78] + /Pg 631 0 R +>> +endobj + +91 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [92 0 R] +>> +endobj + +92 0 obj +<< + /Type /StructElem + /S /Strong + /P 91 0 R + /K [341] + /Pg 629 0 R +>> +endobj + +93 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (b): Gauss-Seidel Method) + /K [340] + /Pg 629 0 R +>> +endobj + +94 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [96 0 R 308 95 0 R] + /Pg 629 0 R +>> +endobj + +95 0 obj +<< + /Type /StructElem + /S /Formula + /P 94 0 R + /K [309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339] + /Pg 629 0 R +>> +endobj + +96 0 obj +<< + /Type /StructElem + /S /Strong + /P 94 0 R + /K [307] + /Pg 629 0 R +>> +endobj + +97 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [98 0 R] +>> +endobj + +98 0 obj +<< + /Type /StructElem + /S /Strong + /P 97 0 R + /K [306] + /Pg 629 0 R +>> +endobj + +99 0 obj +<< + /Type /StructElem + /S /Table + /P 29 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [140 0 R 135 0 R 130 0 R 125 0 R 120 0 R 115 0 R 110 0 R 105 0 R 100 0 R] +>> +endobj + +100 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [104 0 R 103 0 R 102 0 R 101 0 R] +>> +endobj + +101 0 obj +<< + /Type /StructElem + /S /TD + /P 100 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [305] + /Pg 629 0 R +>> +endobj + +102 0 obj +<< + /Type /StructElem + /S /TD + /P 100 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [304] + /Pg 629 0 R +>> +endobj + +103 0 obj +<< + /Type /StructElem + /S /TD + /P 100 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [303] + /Pg 629 0 R +>> +endobj + +104 0 obj +<< + /Type /StructElem + /S /TD + /P 100 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [302] + /Pg 629 0 R +>> +endobj + +105 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [109 0 R 108 0 R 107 0 R 106 0 R] +>> +endobj + +106 0 obj +<< + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [301] + /Pg 629 0 R +>> +endobj + +107 0 obj +<< + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [300] + /Pg 629 0 R +>> +endobj + +108 0 obj +<< + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [299] + /Pg 629 0 R +>> +endobj + +109 0 obj +<< + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [298] + /Pg 629 0 R +>> +endobj + +110 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [114 0 R 113 0 R 112 0 R 111 0 R] +>> +endobj + +111 0 obj +<< + /Type /StructElem + /S /TD + /P 110 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [297] + /Pg 629 0 R +>> +endobj + +112 0 obj +<< + /Type /StructElem + /S /TD + /P 110 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [296] + /Pg 629 0 R +>> +endobj + +113 0 obj +<< + /Type /StructElem + /S /TD + /P 110 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [295] + /Pg 629 0 R +>> +endobj + +114 0 obj +<< + /Type /StructElem + /S /TD + /P 110 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [294] + /Pg 629 0 R +>> +endobj + +115 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [119 0 R 118 0 R 117 0 R 116 0 R] +>> +endobj + +116 0 obj +<< + /Type /StructElem + /S /TD + /P 115 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [293] + /Pg 629 0 R +>> +endobj + +117 0 obj +<< + /Type /StructElem + /S /TD + /P 115 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [292] + /Pg 629 0 R +>> +endobj + +118 0 obj +<< + /Type /StructElem + /S /TD + /P 115 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [291] + /Pg 629 0 R +>> +endobj + +119 0 obj +<< + /Type /StructElem + /S /TD + /P 115 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [290] + /Pg 629 0 R +>> +endobj + +120 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [124 0 R 123 0 R 122 0 R 121 0 R] +>> +endobj + +121 0 obj +<< + /Type /StructElem + /S /TD + /P 120 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [289] + /Pg 629 0 R +>> +endobj + +122 0 obj +<< + /Type /StructElem + /S /TD + /P 120 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [288] + /Pg 629 0 R +>> +endobj + +123 0 obj +<< + /Type /StructElem + /S /TD + /P 120 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [287] + /Pg 629 0 R +>> +endobj + +124 0 obj +<< + /Type /StructElem + /S /TD + /P 120 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [286] + /Pg 629 0 R +>> +endobj + +125 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [129 0 R 128 0 R 127 0 R 126 0 R] +>> +endobj + +126 0 obj +<< + /Type /StructElem + /S /TD + /P 125 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [285] + /Pg 629 0 R +>> +endobj + +127 0 obj +<< + /Type /StructElem + /S /TD + /P 125 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [284] + /Pg 629 0 R +>> +endobj + +128 0 obj +<< + /Type /StructElem + /S /TD + /P 125 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [283] + /Pg 629 0 R +>> +endobj + +129 0 obj +<< + /Type /StructElem + /S /TD + /P 125 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [282] + /Pg 629 0 R +>> +endobj + +130 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [134 0 R 133 0 R 132 0 R 131 0 R] +>> +endobj + +131 0 obj +<< + /Type /StructElem + /S /TD + /P 130 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [281] + /Pg 629 0 R +>> +endobj + +132 0 obj +<< + /Type /StructElem + /S /TD + /P 130 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [280] + /Pg 629 0 R +>> +endobj + +133 0 obj +<< + /Type /StructElem + /S /TD + /P 130 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [279] + /Pg 629 0 R +>> +endobj + +134 0 obj +<< + /Type /StructElem + /S /TD + /P 130 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [278] + /Pg 629 0 R +>> +endobj + +135 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [139 0 R 138 0 R 137 0 R 136 0 R] +>> +endobj + +136 0 obj +<< + /Type /StructElem + /S /TD + /P 135 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [277] + /Pg 629 0 R +>> +endobj + +137 0 obj +<< + /Type /StructElem + /S /TD + /P 135 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [276] + /Pg 629 0 R +>> +endobj + +138 0 obj +<< + /Type /StructElem + /S /TD + /P 135 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [275] + /Pg 629 0 R +>> +endobj + +139 0 obj +<< + /Type /StructElem + /S /TD + /P 135 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [274] + /Pg 629 0 R +>> +endobj + +140 0 obj +<< + /Type /StructElem + /S /TR + /P 99 0 R + /K [147 0 R 145 0 R 143 0 R 141 0 R] +>> +endobj + +141 0 obj +<< + /Type /StructElem + /S /TD + /P 140 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [142 0 R] +>> +endobj + +142 0 obj +<< + /Type /StructElem + /S /Formula + /P 141 0 R + /K [272 273] + /Pg 629 0 R +>> +endobj + +143 0 obj +<< + /Type /StructElem + /S /TD + /P 140 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [144 0 R] +>> +endobj + +144 0 obj +<< + /Type /StructElem + /S /Formula + /P 143 0 R + /K [270 271] + /Pg 629 0 R +>> +endobj + +145 0 obj +<< + /Type /StructElem + /S /TD + /P 140 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [146 0 R] +>> +endobj + +146 0 obj +<< + /Type /StructElem + /S /Formula + /P 145 0 R + /K [268 269] + /Pg 629 0 R +>> +endobj + +147 0 obj +<< + /Type /StructElem + /S /TD + /P 140 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [267] + /Pg 629 0 R +>> +endobj + +148 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [150 0 R 253 149 0 R] + /Pg 629 0 R +>> +endobj + +149 0 obj +<< + /Type /StructElem + /S /Formula + /P 148 0 R + /K [254 255 256 257 258 259 260 261 262 263 264 265 266] + /Pg 629 0 R +>> +endobj + +150 0 obj +<< + /Type /StructElem + /S /Strong + /P 148 0 R + /K [252] + /Pg 629 0 R +>> +endobj + +151 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251] + /Pg 629 0 R +>> +endobj + +152 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [153 0 R] +>> +endobj + +153 0 obj +<< + /Type /StructElem + /S /Strong + /P 152 0 R + /K [178] + /Pg 629 0 R +>> +endobj + +154 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (a): Jacobi Method) + /K [177] + /Pg 629 0 R +>> +endobj + +155 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [176] + /Pg 629 0 R +>> +endobj + +156 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [166 0 R 161 0 R 157 0 R] +>> +endobj + +157 0 obj +<< + /Type /StructElem + /S /LI + /P 156 0 R + /K [160 0 R 158 0 R] +>> +endobj + +158 0 obj +<< + /Type /StructElem + /S /LBody + /P 157 0 R + /K [158 159 0 R 175] + /Pg 629 0 R +>> +endobj + +159 0 obj +<< + /Type /StructElem + /S /Formula + /P 158 0 R + /K [159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174] + /Pg 629 0 R +>> +endobj + +160 0 obj +<< + /Type /StructElem + /S /Lbl + /P 157 0 R + /K [157] + /Pg 629 0 R +>> +endobj + +161 0 obj +<< + /Type /StructElem + /S /LI + /P 156 0 R + /K [165 0 R 162 0 R] +>> +endobj + +162 0 obj +<< + /Type /StructElem + /S /LBody + /P 161 0 R + /K [140 164 0 R 146 163 0 R 156] + /Pg 629 0 R +>> +endobj + +163 0 obj +<< + /Type /StructElem + /S /Formula + /P 162 0 R + /K [147 148 149 150 151 152 153 154 155] + /Pg 629 0 R +>> +endobj + +164 0 obj +<< + /Type /StructElem + /S /Formula + /P 162 0 R + /K [141 142 143 144 145] + /Pg 629 0 R +>> +endobj + +165 0 obj +<< + /Type /StructElem + /S /Lbl + /P 161 0 R + /K [139] + /Pg 629 0 R +>> +endobj + +166 0 obj +<< + /Type /StructElem + /S /LI + /P 156 0 R + /K [170 0 R 167 0 R] +>> +endobj + +167 0 obj +<< + /Type /StructElem + /S /LBody + /P 166 0 R + /K [121 169 0 R 127 168 0 R 138] + /Pg 629 0 R +>> +endobj + +168 0 obj +<< + /Type /StructElem + /S /Formula + /P 167 0 R + /K [128 129 130 131 132 133 134 135 136 137] + /Pg 629 0 R +>> +endobj + +169 0 obj +<< + /Type /StructElem + /S /Formula + /P 167 0 R + /K [122 123 124 125 126] + /Pg 629 0 R +>> +endobj + +170 0 obj +<< + /Type /StructElem + /S /Lbl + /P 166 0 R + /K [120] + /Pg 629 0 R +>> +endobj + +171 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [119] + /Pg 629 0 R +>> +endobj + +172 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118] + /Pg 629 0 R +>> +endobj + +173 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [174 0 R 90] + /Pg 629 0 R +>> +endobj + +174 0 obj +<< + /Type /StructElem + /S /Strong + /P 173 0 R + /K [89] + /Pg 629 0 R +>> +endobj + +175 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [186 0 R 181 0 R 176 0 R] +>> +endobj + +176 0 obj +<< + /Type /StructElem + /S /LI + /P 175 0 R + /K [180 0 R 177 0 R] +>> +endobj + +177 0 obj +<< + /Type /StructElem + /S /LBody + /P 176 0 R + /K [72 179 0 R 78 178 0 R 88] + /Pg 629 0 R +>> +endobj + +178 0 obj +<< + /Type /StructElem + /S /Formula + /P 177 0 R + /K [79 80 81 82 83 84 85 86 87] + /Pg 629 0 R +>> +endobj + +179 0 obj +<< + /Type /StructElem + /S /Formula + /P 177 0 R + /K [73 74 75 76 77] + /Pg 629 0 R +>> +endobj + +180 0 obj +<< + /Type /StructElem + /S /Lbl + /P 176 0 R + /K [71] + /Pg 629 0 R +>> +endobj + +181 0 obj +<< + /Type /StructElem + /S /LI + /P 175 0 R + /K [185 0 R 182 0 R] +>> +endobj + +182 0 obj +<< + /Type /StructElem + /S /LBody + /P 181 0 R + /K [53 184 0 R 59 183 0 R 70] + /Pg 629 0 R +>> +endobj + +183 0 obj +<< + /Type /StructElem + /S /Formula + /P 182 0 R + /K [60 61 62 63 64 65 66 67 68 69] + /Pg 629 0 R +>> +endobj + +184 0 obj +<< + /Type /StructElem + /S /Formula + /P 182 0 R + /K [54 55 56 57 58] + /Pg 629 0 R +>> +endobj + +185 0 obj +<< + /Type /StructElem + /S /Lbl + /P 181 0 R + /K [52] + /Pg 629 0 R +>> +endobj + +186 0 obj +<< + /Type /StructElem + /S /LI + /P 175 0 R + /K [190 0 R 187 0 R] +>> +endobj + +187 0 obj +<< + /Type /StructElem + /S /LBody + /P 186 0 R + /K [34 189 0 R 40 188 0 R 51] + /Pg 629 0 R +>> +endobj + +188 0 obj +<< + /Type /StructElem + /S /Formula + /P 187 0 R + /K [41 42 43 44 45 46 47 48 49 50] + /Pg 629 0 R +>> +endobj + +189 0 obj +<< + /Type /StructElem + /S /Formula + /P 187 0 R + /K [35 36 37 38 39] + /Pg 629 0 R +>> +endobj + +190 0 obj +<< + /Type /StructElem + /S /Lbl + /P 186 0 R + /K [33] + /Pg 629 0 R +>> +endobj + +191 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [192 0 R] +>> +endobj + +192 0 obj +<< + /Type /StructElem + /S /Strong + /P 191 0 R + /K [32] + /Pg 629 0 R +>> +endobj + +193 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Checking and Rearranging for Diagonal Dominance) + /K [31] + /Pg 629 0 R +>> +endobj + +194 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30] + /Pg 629 0 R +>> +endobj + +195 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [2] + /Pg 629 0 R +>> +endobj + +196 0 obj +<< + /Type /StructElem + /S /H1 + /P 29 0 R + /T (Jacobi and Gauss-Seidel Methods (40%)) + /K [0 1] + /Pg 629 0 R +>> +endobj + +197 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [109 198 0 R 115] + /Pg 627 0 R +>> +endobj + +198 0 obj +<< + /Type /StructElem + /S /Formula + /P 197 0 R + /K [110 111 112 113 114] + /Pg 627 0 R +>> +endobj + +199 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [201 0 R 87 200 0 R] + /Pg 627 0 R +>> +endobj + +200 0 obj +<< + /Type /StructElem + /S /Formula + /P 199 0 R + /K [88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108] + /Pg 627 0 R +>> +endobj + +201 0 obj +<< + /Type /StructElem + /S /Strong + /P 199 0 R + /K [86] + /Pg 627 0 R +>> +endobj + +202 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [71 203 0 R 85] + /Pg 627 0 R +>> +endobj + +203 0 obj +<< + /Type /StructElem + /S /Formula + /P 202 0 R + /K [72 73 74 75 76 77 78 79 80 81 82 83 84] + /Pg 627 0 R +>> +endobj + +204 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [210 0 R 205 0 R] +>> +endobj + +205 0 obj +<< + /Type /StructElem + /S /LI + /P 204 0 R + /K [209 0 R 206 0 R] +>> +endobj + +206 0 obj +<< + /Type /StructElem + /S /LBody + /P 205 0 R + /K [57 208 0 R 63 207 0 R 70] + /Pg 627 0 R +>> +endobj + +207 0 obj +<< + /Type /StructElem + /S /Formula + /P 206 0 R + /K [64 65 66 67 68 69] + /Pg 627 0 R +>> +endobj + +208 0 obj +<< + /Type /StructElem + /S /Formula + /P 206 0 R + /K [58 59 60 61 62] + /Pg 627 0 R +>> +endobj + +209 0 obj +<< + /Type /StructElem + /S /Lbl + /P 205 0 R + /K [56] + /Pg 627 0 R +>> +endobj + +210 0 obj +<< + /Type /StructElem + /S /LI + /P 204 0 R + /K [213 0 R 211 0 R] +>> +endobj + +211 0 obj +<< + /Type /StructElem + /S /LBody + /P 210 0 R + /K [52 212 0 R 55] + /Pg 627 0 R +>> +endobj + +212 0 obj +<< + /Type /StructElem + /S /Formula + /P 211 0 R + /K [53 54] + /Pg 627 0 R +>> +endobj + +213 0 obj +<< + /Type /StructElem + /S /Lbl + /P 210 0 R + /K [51] + /Pg 627 0 R +>> +endobj + +214 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [215 0 R] +>> +endobj + +215 0 obj +<< + /Type /StructElem + /S /Strong + /P 214 0 R + /K [50] + /Pg 627 0 R +>> +endobj + +216 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [42 217 0 R 49] + /Pg 627 0 R +>> +endobj + +217 0 obj +<< + /Type /StructElem + /S /Formula + /P 216 0 R + /K [43 44 45 46 47 48] + /Pg 627 0 R +>> +endobj + +218 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [230 0 R 225 0 R 219 0 R] +>> +endobj + +219 0 obj +<< + /Type /StructElem + /S /LI + /P 218 0 R + /K [224 0 R 220 0 R] +>> +endobj + +220 0 obj +<< + /Type /StructElem + /S /LBody + /P 219 0 R + /K [223 0 R 35 222 0 R 38 221 0 R 41] + /Pg 627 0 R +>> +endobj + +221 0 obj +<< + /Type /StructElem + /S /Formula + /P 220 0 R + /K [39 40] + /Pg 627 0 R +>> +endobj + +222 0 obj +<< + /Type /StructElem + /S /Formula + /P 220 0 R + /K [36 37] + /Pg 627 0 R +>> +endobj + +223 0 obj +<< + /Type /StructElem + /S /Formula + /P 220 0 R + /K [29 30 31 32 33 34] + /Pg 627 0 R +>> +endobj + +224 0 obj +<< + /Type /StructElem + /S /Lbl + /P 219 0 R + /K [28] + /Pg 627 0 R +>> +endobj + +225 0 obj +<< + /Type /StructElem + /S /LI + /P 218 0 R + /K [229 0 R 226 0 R] +>> +endobj + +226 0 obj +<< + /Type /StructElem + /S /LBody + /P 225 0 R + /K [228 0 R 20 227 0 R 27] + /Pg 627 0 R +>> +endobj + +227 0 obj +<< + /Type /StructElem + /S /Formula + /P 226 0 R + /K [21 22 23 24 25 26] + /Pg 627 0 R +>> +endobj + +228 0 obj +<< + /Type /StructElem + /S /Formula + /P 226 0 R + /K [17 18 19] + /Pg 627 0 R +>> +endobj + +229 0 obj +<< + /Type /StructElem + /S /Lbl + /P 225 0 R + /K [16] + /Pg 627 0 R +>> +endobj + +230 0 obj +<< + /Type /StructElem + /S /LI + /P 218 0 R + /K [234 0 R 231 0 R] +>> +endobj + +231 0 obj +<< + /Type /StructElem + /S /LBody + /P 230 0 R + /K [233 0 R 13 232 0 R 15] + /Pg 627 0 R +>> +endobj + +232 0 obj +<< + /Type /StructElem + /S /Formula + /P 231 0 R + /K [14] + /Pg 627 0 R +>> +endobj + +233 0 obj +<< + /Type /StructElem + /S /Formula + /P 231 0 R + /K [10 11 12] + /Pg 627 0 R +>> +endobj + +234 0 obj +<< + /Type /StructElem + /S /Lbl + /P 230 0 R + /K [9] + /Pg 627 0 R +>> +endobj + +235 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [239 0 R 237 0 R 236 0 R] +>> +endobj + +236 0 obj +<< + /Type /StructElem + /S /Strong + /P 235 0 R + /K [8] + /Pg 627 0 R +>> +endobj + +237 0 obj +<< + /Type /StructElem + /S /Formula + /P 235 0 R + /K [238 0 R] +>> +endobj + +238 0 obj +<< + /Type /StructElem + /S /Strong + /P 237 0 R + /K [5 6 7] + /Pg 627 0 R +>> +endobj + +239 0 obj +<< + /Type /StructElem + /S /Strong + /P 235 0 R + /K [4] + /Pg 627 0 R +>> +endobj + +240 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [1 241 0 R 3] + /Pg 627 0 R +>> +endobj + +241 0 obj +<< + /Type /StructElem + /S /Formula + /P 240 0 R + /K [2] + /Pg 627 0 R +>> +endobj + +242 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (c): Arithmetic Operations Count) + /K [0] + /Pg 627 0 R +>> +endobj + +243 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605] + /Pg 625 0 R +>> +endobj + +244 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [245 0 R] +>> +endobj + +245 0 obj +<< + /Type /StructElem + /S /Strong + /P 244 0 R + /K [552] + /Pg 625 0 R +>> +endobj + +246 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [267 0 R 263 0 R 259 0 R 255 0 R 251 0 R 247 0 R] +>> +endobj + +247 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [250 0 R 248 0 R] +>> +endobj + +248 0 obj +<< + /Type /StructElem + /S /LBody + /P 247 0 R + /K [249 0 R] +>> +endobj + +249 0 obj +<< + /Type /StructElem + /S /Formula + /P 248 0 R + /K [527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551] + /Pg 625 0 R +>> +endobj + +250 0 obj +<< + /Type /StructElem + /S /Lbl + /P 247 0 R + /K [526] + /Pg 625 0 R +>> +endobj + +251 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [254 0 R 252 0 R] +>> +endobj + +252 0 obj +<< + /Type /StructElem + /S /LBody + /P 251 0 R + /K [253 0 R] +>> +endobj + +253 0 obj +<< + /Type /StructElem + /S /Formula + /P 252 0 R + /K [498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525] + /Pg 625 0 R +>> +endobj + +254 0 obj +<< + /Type /StructElem + /S /Lbl + /P 251 0 R + /K [497] + /Pg 625 0 R +>> +endobj + +255 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [258 0 R 256 0 R] +>> +endobj + +256 0 obj +<< + /Type /StructElem + /S /LBody + /P 255 0 R + /K [257 0 R] +>> +endobj + +257 0 obj +<< + /Type /StructElem + /S /Formula + /P 256 0 R + /K [467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496] + /Pg 625 0 R +>> +endobj + +258 0 obj +<< + /Type /StructElem + /S /Lbl + /P 255 0 R + /K [466] + /Pg 625 0 R +>> +endobj + +259 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [262 0 R 260 0 R] +>> +endobj + +260 0 obj +<< + /Type /StructElem + /S /LBody + /P 259 0 R + /K [261 0 R] +>> +endobj + +261 0 obj +<< + /Type /StructElem + /S /Formula + /P 260 0 R + /K [433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465] + /Pg 625 0 R +>> +endobj + +262 0 obj +<< + /Type /StructElem + /S /Lbl + /P 259 0 R + /K [432] + /Pg 625 0 R +>> +endobj + +263 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [266 0 R 264 0 R] +>> +endobj + +264 0 obj +<< + /Type /StructElem + /S /LBody + /P 263 0 R + /K [265 0 R] +>> +endobj + +265 0 obj +<< + /Type /StructElem + /S /Formula + /P 264 0 R + /K [399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431] + /Pg 625 0 R +>> +endobj + +266 0 obj +<< + /Type /StructElem + /S /Lbl + /P 263 0 R + /K [398] + /Pg 625 0 R +>> +endobj + +267 0 obj +<< + /Type /StructElem + /S /LI + /P 246 0 R + /K [270 0 R 268 0 R] +>> +endobj + +268 0 obj +<< + /Type /StructElem + /S /LBody + /P 267 0 R + /K [269 0 R] +>> +endobj + +269 0 obj +<< + /Type /StructElem + /S /Formula + /P 268 0 R + /K [377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397] + /Pg 625 0 R +>> +endobj + +270 0 obj +<< + /Type /StructElem + /S /Lbl + /P 267 0 R + /K [376] + /Pg 625 0 R +>> +endobj + +271 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [272 0 R] +>> +endobj + +272 0 obj +<< + /Type /StructElem + /S /Strong + /P 271 0 R + /K [375] + /Pg 625 0 R +>> +endobj + +273 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [298 0 R 292 0 R 286 0 R 280 0 R 274 0 R] +>> +endobj + +274 0 obj +<< + /Type /StructElem + /S /LI + /P 273 0 R + /K [279 0 R 275 0 R] +>> +endobj + +275 0 obj +<< + /Type /StructElem + /S /LBody + /P 274 0 R + /K [334 278 0 R 353 277 0 R 364 276 0 R] + /Pg 625 0 R +>> +endobj + +276 0 obj +<< + /Type /StructElem + /S /Formula + /P 275 0 R + /K [365 366 367 368 369 370 371 372 373 374] + /Pg 625 0 R +>> +endobj + +277 0 obj +<< + /Type /StructElem + /S /Formula + /P 275 0 R + /K [354 355 356 357 358 359 360 361 362 363] + /Pg 625 0 R +>> +endobj + +278 0 obj +<< + /Type /StructElem + /S /Formula + /P 275 0 R + /K [335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352] + /Pg 625 0 R +>> +endobj + +279 0 obj +<< + /Type /StructElem + /S /Lbl + /P 274 0 R + /K [333] + /Pg 625 0 R +>> +endobj + +280 0 obj +<< + /Type /StructElem + /S /LI + /P 273 0 R + /K [285 0 R 281 0 R] +>> +endobj + +281 0 obj +<< + /Type /StructElem + /S /LBody + /P 280 0 R + /K [292 284 0 R 311 283 0 R 322 282 0 R] + /Pg 625 0 R +>> +endobj + +282 0 obj +<< + /Type /StructElem + /S /Formula + /P 281 0 R + /K [323 324 325 326 327 328 329 330 331 332] + /Pg 625 0 R +>> +endobj + +283 0 obj +<< + /Type /StructElem + /S /Formula + /P 281 0 R + /K [312 313 314 315 316 317 318 319 320 321] + /Pg 625 0 R +>> +endobj + +284 0 obj +<< + /Type /StructElem + /S /Formula + /P 281 0 R + /K [293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310] + /Pg 625 0 R +>> +endobj + +285 0 obj +<< + /Type /StructElem + /S /Lbl + /P 280 0 R + /K [291] + /Pg 625 0 R +>> +endobj + +286 0 obj +<< + /Type /StructElem + /S /LI + /P 273 0 R + /K [291 0 R 287 0 R] +>> +endobj + +287 0 obj +<< + /Type /StructElem + /S /LBody + /P 286 0 R + /K [250 290 0 R 269 289 0 R 280 288 0 R] + /Pg 625 0 R +>> +endobj + +288 0 obj +<< + /Type /StructElem + /S /Formula + /P 287 0 R + /K [281 282 283 284 285 286 287 288 289 290] + /Pg 625 0 R +>> +endobj + +289 0 obj +<< + /Type /StructElem + /S /Formula + /P 287 0 R + /K [270 271 272 273 274 275 276 277 278 279] + /Pg 625 0 R +>> +endobj + +290 0 obj +<< + /Type /StructElem + /S /Formula + /P 287 0 R + /K [251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268] + /Pg 625 0 R +>> +endobj + +291 0 obj +<< + /Type /StructElem + /S /Lbl + /P 286 0 R + /K [249] + /Pg 625 0 R +>> +endobj + +292 0 obj +<< + /Type /StructElem + /S /LI + /P 273 0 R + /K [297 0 R 293 0 R] +>> +endobj + +293 0 obj +<< + /Type /StructElem + /S /LBody + /P 292 0 R + /K [213 296 0 R 230 295 0 R 241 294 0 R] + /Pg 625 0 R +>> +endobj + +294 0 obj +<< + /Type /StructElem + /S /Formula + /P 293 0 R + /K [242 243 244 245 246 247 248] + /Pg 625 0 R +>> +endobj + +295 0 obj +<< + /Type /StructElem + /S /Formula + /P 293 0 R + /K [231 232 233 234 235 236 237 238 239 240] + /Pg 625 0 R +>> +endobj + +296 0 obj +<< + /Type /StructElem + /S /Formula + /P 293 0 R + /K [214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229] + /Pg 625 0 R +>> +endobj + +297 0 obj +<< + /Type /StructElem + /S /Lbl + /P 292 0 R + /K [212] + /Pg 625 0 R +>> +endobj + +298 0 obj +<< + /Type /StructElem + /S /LI + /P 273 0 R + /K [303 0 R 299 0 R] +>> +endobj + +299 0 obj +<< + /Type /StructElem + /S /LBody + /P 298 0 R + /K [152 302 0 R 164 301 0 R 187 300 0 R] + /Pg 625 0 R +>> +endobj + +300 0 obj +<< + /Type /StructElem + /S /Formula + /P 299 0 R + /K [188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211] + /Pg 625 0 R +>> +endobj + +301 0 obj +<< + /Type /StructElem + /S /Formula + /P 299 0 R + /K [165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186] + /Pg 625 0 R +>> +endobj + +302 0 obj +<< + /Type /StructElem + /S /Formula + /P 299 0 R + /K [153 154 155 156 157 158 159 160 161 162 163] + /Pg 625 0 R +>> +endobj + +303 0 obj +<< + /Type /StructElem + /S /Lbl + /P 298 0 R + /K [151] + /Pg 625 0 R +>> +endobj + +304 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [305 0 R] +>> +endobj + +305 0 obj +<< + /Type /StructElem + /S /Strong + /P 304 0 R + /K [150] + /Pg 625 0 R +>> +endobj + +306 0 obj +<< + /Type /StructElem + /S /Table + /P 29 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [337 0 R 332 0 R 327 0 R 322 0 R 317 0 R 312 0 R 307 0 R] +>> +endobj + +307 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [311 0 R 310 0 R 309 0 R 308 0 R] +>> +endobj + +308 0 obj +<< + /Type /StructElem + /S /TD + /P 307 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [149] + /Pg 625 0 R +>> +endobj + +309 0 obj +<< + /Type /StructElem + /S /TD + /P 307 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [148] + /Pg 625 0 R +>> +endobj + +310 0 obj +<< + /Type /StructElem + /S /TD + /P 307 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [147] + /Pg 625 0 R +>> +endobj + +311 0 obj +<< + /Type /StructElem + /S /TD + /P 307 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [146] + /Pg 625 0 R +>> +endobj + +312 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [316 0 R 315 0 R 314 0 R 313 0 R] +>> +endobj + +313 0 obj +<< + /Type /StructElem + /S /TD + /P 312 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [145] + /Pg 625 0 R +>> +endobj + +314 0 obj +<< + /Type /StructElem + /S /TD + /P 312 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [144] + /Pg 625 0 R +>> +endobj + +315 0 obj +<< + /Type /StructElem + /S /TD + /P 312 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [143] + /Pg 625 0 R +>> +endobj + +316 0 obj +<< + /Type /StructElem + /S /TD + /P 312 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [142] + /Pg 625 0 R +>> +endobj + +317 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [321 0 R 320 0 R 319 0 R 318 0 R] +>> +endobj + +318 0 obj +<< + /Type /StructElem + /S /TD + /P 317 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [141] + /Pg 625 0 R +>> +endobj + +319 0 obj +<< + /Type /StructElem + /S /TD + /P 317 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [140] + /Pg 625 0 R +>> +endobj + +320 0 obj +<< + /Type /StructElem + /S /TD + /P 317 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [139] + /Pg 625 0 R +>> +endobj + +321 0 obj +<< + /Type /StructElem + /S /TD + /P 317 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [138] + /Pg 625 0 R +>> +endobj + +322 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [326 0 R 325 0 R 324 0 R 323 0 R] +>> +endobj + +323 0 obj +<< + /Type /StructElem + /S /TD + /P 322 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [137] + /Pg 625 0 R +>> +endobj + +324 0 obj +<< + /Type /StructElem + /S /TD + /P 322 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [136] + /Pg 625 0 R +>> +endobj + +325 0 obj +<< + /Type /StructElem + /S /TD + /P 322 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [135] + /Pg 625 0 R +>> +endobj + +326 0 obj +<< + /Type /StructElem + /S /TD + /P 322 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [134] + /Pg 625 0 R +>> +endobj + +327 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [331 0 R 330 0 R 329 0 R 328 0 R] +>> +endobj + +328 0 obj +<< + /Type /StructElem + /S /TD + /P 327 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [133] + /Pg 625 0 R +>> +endobj + +329 0 obj +<< + /Type /StructElem + /S /TD + /P 327 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [132] + /Pg 625 0 R +>> +endobj + +330 0 obj +<< + /Type /StructElem + /S /TD + /P 327 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [131] + /Pg 625 0 R +>> +endobj + +331 0 obj +<< + /Type /StructElem + /S /TD + /P 327 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [130] + /Pg 625 0 R +>> +endobj + +332 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [336 0 R 335 0 R 334 0 R 333 0 R] +>> +endobj + +333 0 obj +<< + /Type /StructElem + /S /TD + /P 332 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [129] + /Pg 625 0 R +>> +endobj + +334 0 obj +<< + /Type /StructElem + /S /TD + /P 332 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [128] + /Pg 625 0 R +>> +endobj + +335 0 obj +<< + /Type /StructElem + /S /TD + /P 332 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [127] + /Pg 625 0 R +>> +endobj + +336 0 obj +<< + /Type /StructElem + /S /TD + /P 332 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [126] + /Pg 625 0 R +>> +endobj + +337 0 obj +<< + /Type /StructElem + /S /TR + /P 306 0 R + /K [341 0 R 340 0 R 339 0 R 338 0 R] +>> +endobj + +338 0 obj +<< + /Type /StructElem + /S /TD + /P 337 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [125] + /Pg 625 0 R +>> +endobj + +339 0 obj +<< + /Type /StructElem + /S /TD + /P 337 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [124] + /Pg 625 0 R +>> +endobj + +340 0 obj +<< + /Type /StructElem + /S /TD + /P 337 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [123] + /Pg 625 0 R +>> +endobj + +341 0 obj +<< + /Type /StructElem + /S /TD + /P 337 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [122] + /Pg 625 0 R +>> +endobj + +342 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [343 0 R] +>> +endobj + +343 0 obj +<< + /Type /StructElem + /S /Strong + /P 342 0 R + /K [121] + /Pg 625 0 R +>> +endobj + +344 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (b): Solving the System) + /K [120] + /Pg 625 0 R +>> +endobj + +345 0 obj +<< + /Type /StructElem + /S /Code + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [358 0 R 357 0 R 356 0 R 355 0 R 354 0 R 353 0 R 352 0 R 351 0 R 350 0 R 349 0 R 348 0 R 347 0 R 346 0 R] +>> +endobj + +346 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [119] + /Pg 625 0 R +>> +endobj + +347 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [118] + /Pg 625 0 R +>> +endobj + +348 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [117] + /Pg 625 0 R +>> +endobj + +349 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [116] + /Pg 625 0 R +>> +endobj + +350 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [] +>> +endobj + +351 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [115] + /Pg 625 0 R +>> +endobj + +352 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [114] + /Pg 625 0 R +>> +endobj + +353 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [113] + /Pg 625 0 R +>> +endobj + +354 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [112] + /Pg 625 0 R +>> +endobj + +355 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [111] + /Pg 625 0 R +>> +endobj + +356 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [] +>> +endobj + +357 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [110] + /Pg 625 0 R +>> +endobj + +358 0 obj +<< + /Type /StructElem + /S /P + /P 345 0 R + /K [109] + /Pg 625 0 R +>> +endobj + +359 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [360 0 R] +>> +endobj + +360 0 obj +<< + /Type /StructElem + /S /Strong + /P 359 0 R + /K [108] + /Pg 625 0 R +>> +endobj + +361 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [372 0 R 367 0 R 362 0 R] +>> +endobj + +362 0 obj +<< + /Type /StructElem + /S /LI + /P 361 0 R + /K [366 0 R 363 0 R] +>> +endobj + +363 0 obj +<< + /Type /StructElem + /S /LBody + /P 362 0 R + /K [365 0 R 105 364 0 R 107] + /Pg 625 0 R +>> +endobj + +364 0 obj +<< + /Type /StructElem + /S /Formula + /P 363 0 R + /K [106] + /Pg 625 0 R +>> +endobj + +365 0 obj +<< + /Type /StructElem + /S /Formula + /P 363 0 R + /K [103 104] + /Pg 625 0 R +>> +endobj + +366 0 obj +<< + /Type /StructElem + /S /Lbl + /P 362 0 R + /K [102] + /Pg 625 0 R +>> +endobj + +367 0 obj +<< + /Type /StructElem + /S /LI + /P 361 0 R + /K [371 0 R 368 0 R] +>> +endobj + +368 0 obj +<< + /Type /StructElem + /S /LBody + /P 367 0 R + /K [370 0 R 97 369 0 R 101] + /Pg 625 0 R +>> +endobj + +369 0 obj +<< + /Type /StructElem + /S /Formula + /P 368 0 R + /K [98 99 100] + /Pg 625 0 R +>> +endobj + +370 0 obj +<< + /Type /StructElem + /S /Formula + /P 368 0 R + /K [95 96] + /Pg 625 0 R +>> +endobj + +371 0 obj +<< + /Type /StructElem + /S /Lbl + /P 367 0 R + /K [94] + /Pg 625 0 R +>> +endobj + +372 0 obj +<< + /Type /StructElem + /S /LI + /P 361 0 R + /K [376 0 R 373 0 R] +>> +endobj + +373 0 obj +<< + /Type /StructElem + /S /LBody + /P 372 0 R + /K [375 0 R 91 374 0 R 93] + /Pg 625 0 R +>> +endobj + +374 0 obj +<< + /Type /StructElem + /S /Formula + /P 373 0 R + /K [92] + /Pg 625 0 R +>> +endobj + +375 0 obj +<< + /Type /StructElem + /S /Formula + /P 373 0 R + /K [89 90] + /Pg 625 0 R +>> +endobj + +376 0 obj +<< + /Type /StructElem + /S /Lbl + /P 372 0 R + /K [88] + /Pg 625 0 R +>> +endobj + +377 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [87] + /Pg 625 0 R +>> +endobj + +378 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (a): Algorithm for Symmetric Tridiagonal System) + /K [86] + /Pg 625 0 R +>> +endobj + +379 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85] + /Pg 625 0 R +>> +endobj + +380 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [2] + /Pg 625 0 R +>> +endobj + +381 0 obj +<< + /Type /StructElem + /S /H1 + /P 29 0 R + /T (Symmetric Tridiagonal System (30%)) + /K [0 1] + /Pg 625 0 R +>> +endobj + +382 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [0 383 0 R 3 4] + /Pg 623 0 R +>> +endobj + +383 0 obj +<< + /Type /StructElem + /S /Formula + /P 382 0 R + /K [1 2] + /Pg 623 0 R +>> +endobj + +384 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [399 0 R 392 0 R 385 0 R] +>> +endobj + +385 0 obj +<< + /Type /StructElem + /S /LI + /P 384 0 R + /K [391 0 R 386 0 R] +>> +endobj + +386 0 obj +<< + /Type /StructElem + /S /LBody + /P 385 0 R + /K [390 0 R 686 389 0 R 693 388 0 R 698 387 0 R 704] + /Pg 621 0 R +>> +endobj + +387 0 obj +<< + /Type /StructElem + /S /Formula + /P 386 0 R + /K [699 700 701 702 703] + /Pg 621 0 R +>> +endobj + +388 0 obj +<< + /Type /StructElem + /S /Formula + /P 386 0 R + /K [694 695 696 697] + /Pg 621 0 R +>> +endobj + +389 0 obj +<< + /Type /StructElem + /S /Formula + /P 386 0 R + /K [687 688 689 690 691 692] + /Pg 621 0 R +>> +endobj + +390 0 obj +<< + /Type /StructElem + /S /Formula + /P 386 0 R + /K [684 685] + /Pg 621 0 R +>> +endobj + +391 0 obj +<< + /Type /StructElem + /S /Lbl + /P 385 0 R + /K [683] + /Pg 621 0 R +>> +endobj + +392 0 obj +<< + /Type /StructElem + /S /LI + /P 384 0 R + /K [398 0 R 393 0 R] +>> +endobj + +393 0 obj +<< + /Type /StructElem + /S /LBody + /P 392 0 R + /K [397 0 R 664 396 0 R 671 395 0 R 676 394 0 R 682] + /Pg 621 0 R +>> +endobj + +394 0 obj +<< + /Type /StructElem + /S /Formula + /P 393 0 R + /K [677 678 679 680 681] + /Pg 621 0 R +>> +endobj + +395 0 obj +<< + /Type /StructElem + /S /Formula + /P 393 0 R + /K [672 673 674 675] + /Pg 621 0 R +>> +endobj + +396 0 obj +<< + /Type /StructElem + /S /Formula + /P 393 0 R + /K [665 666 667 668 669 670] + /Pg 621 0 R +>> +endobj + +397 0 obj +<< + /Type /StructElem + /S /Formula + /P 393 0 R + /K [662 663] + /Pg 621 0 R +>> +endobj + +398 0 obj +<< + /Type /StructElem + /S /Lbl + /P 392 0 R + /K [661] + /Pg 621 0 R +>> +endobj + +399 0 obj +<< + /Type /StructElem + /S /LI + /P 384 0 R + /K [405 0 R 400 0 R] +>> +endobj + +400 0 obj +<< + /Type /StructElem + /S /LBody + /P 399 0 R + /K [404 0 R 640 403 0 R 648 402 0 R 656 401 0 R 660] + /Pg 621 0 R +>> +endobj + +401 0 obj +<< + /Type /StructElem + /S /Formula + /P 400 0 R + /K [657 658 659] + /Pg 621 0 R +>> +endobj + +402 0 obj +<< + /Type /StructElem + /S /Formula + /P 400 0 R + /K [649 650 651 652 653 654 655] + /Pg 621 0 R +>> +endobj + +403 0 obj +<< + /Type /StructElem + /S /Formula + /P 400 0 R + /K [641 642 643 644 645 646 647] + /Pg 621 0 R +>> +endobj + +404 0 obj +<< + /Type /StructElem + /S /Formula + /P 400 0 R + /K [638 639] + /Pg 621 0 R +>> +endobj + +405 0 obj +<< + /Type /StructElem + /S /Lbl + /P 399 0 R + /K [637] + /Pg 621 0 R +>> +endobj + +406 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [636] + /Pg 621 0 R +>> +endobj + +407 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Comparison) + /K [635] + /Pg 621 0 R +>> +endobj + +408 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634] + /Pg 621 0 R +>> +endobj + +409 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [410 0 R] +>> +endobj + +410 0 obj +<< + /Type /StructElem + /S /Strong + /P 409 0 R + /K [608] + /Pg 621 0 R +>> +endobj + +411 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [607] + /Pg 621 0 R +>> +endobj + +412 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (b): Three Significant Digits) + /K [606] + /Pg 621 0 R +>> +endobj + +413 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605] + /Pg 621 0 R +>> +endobj + +414 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [415 0 R] +>> +endobj + +415 0 obj +<< + /Type /StructElem + /S /Strong + /P 414 0 R + /K [575] + /Pg 621 0 R +>> +endobj + +416 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [425 0 R 421 0 R 417 0 R] +>> +endobj + +417 0 obj +<< + /Type /StructElem + /S /LI + /P 416 0 R + /K [420 0 R 418 0 R] +>> +endobj + +418 0 obj +<< + /Type /StructElem + /S /LBody + /P 417 0 R + /K [419 0 R] +>> +endobj + +419 0 obj +<< + /Type /StructElem + /S /Formula + /P 418 0 R + /K [527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574] + /Pg 621 0 R +>> +endobj + +420 0 obj +<< + /Type /StructElem + /S /Lbl + /P 417 0 R + /K [526] + /Pg 621 0 R +>> +endobj + +421 0 obj +<< + /Type /StructElem + /S /LI + /P 416 0 R + /K [424 0 R 422 0 R] +>> +endobj + +422 0 obj +<< + /Type /StructElem + /S /LBody + /P 421 0 R + /K [423 0 R] +>> +endobj + +423 0 obj +<< + /Type /StructElem + /S /Formula + /P 422 0 R + /K [484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525] + /Pg 621 0 R +>> +endobj + +424 0 obj +<< + /Type /StructElem + /S /Lbl + /P 421 0 R + /K [483] + /Pg 621 0 R +>> +endobj + +425 0 obj +<< + /Type /StructElem + /S /LI + /P 416 0 R + /K [428 0 R 426 0 R] +>> +endobj + +426 0 obj +<< + /Type /StructElem + /S /LBody + /P 425 0 R + /K [427 0 R] +>> +endobj + +427 0 obj +<< + /Type /StructElem + /S /Formula + /P 426 0 R + /K [456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482] + /Pg 621 0 R +>> +endobj + +428 0 obj +<< + /Type /StructElem + /S /Lbl + /P 425 0 R + /K [455] + /Pg 621 0 R +>> +endobj + +429 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [430 0 R] +>> +endobj + +430 0 obj +<< + /Type /StructElem + /S /Strong + /P 429 0 R + /K [454] + /Pg 621 0 R +>> +endobj + +431 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453] + /Pg 621 0 R +>> +endobj + +432 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [393] + /Pg 621 0 R +>> +endobj + +433 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [367 434 0 R] + /Pg 621 0 R +>> +endobj + +434 0 obj +<< + /Type /StructElem + /S /Formula + /P 433 0 R + /K [368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392] + /Pg 621 0 R +>> +endobj + +435 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [365 436 0 R] + /Pg 621 0 R +>> +endobj + +436 0 obj +<< + /Type /StructElem + /S /Strong + /P 435 0 R + /K [366] + /Pg 621 0 R +>> +endobj + +437 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [442 0 R 438 0 R] +>> +endobj + +438 0 obj +<< + /Type /StructElem + /S /LI + /P 437 0 R + /K [441 0 R 439 0 R] +>> +endobj + +439 0 obj +<< + /Type /StructElem + /S /LBody + /P 438 0 R + /K [345 440 0 R] + /Pg 621 0 R +>> +endobj + +440 0 obj +<< + /Type /StructElem + /S /Formula + /P 439 0 R + /K [346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364] + /Pg 621 0 R +>> +endobj + +441 0 obj +<< + /Type /StructElem + /S /Lbl + /P 438 0 R + /K [344] + /Pg 621 0 R +>> +endobj + +442 0 obj +<< + /Type /StructElem + /S /LI + /P 437 0 R + /K [445 0 R 443 0 R] +>> +endobj + +443 0 obj +<< + /Type /StructElem + /S /LBody + /P 442 0 R + /K [325 444 0 R] + /Pg 621 0 R +>> +endobj + +444 0 obj +<< + /Type /StructElem + /S /Formula + /P 443 0 R + /K [326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343] + /Pg 621 0 R +>> +endobj + +445 0 obj +<< + /Type /StructElem + /S /Lbl + /P 442 0 R + /K [324] + /Pg 621 0 R +>> +endobj + +446 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [323] + /Pg 621 0 R +>> +endobj + +447 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [448 0 R] +>> +endobj + +448 0 obj +<< + /Type /StructElem + /S /Strong + /P 447 0 R + /K [322] + /Pg 621 0 R +>> +endobj + +449 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321] + /Pg 621 0 R +>> +endobj + +450 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [256] + /Pg 621 0 R +>> +endobj + +451 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [213 453 0 R 234 452 0 R] + /Pg 621 0 R +>> +endobj + +452 0 obj +<< + /Type /StructElem + /S /Formula + /P 451 0 R + /K [235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255] + /Pg 621 0 R +>> +endobj + +453 0 obj +<< + /Type /StructElem + /S /Formula + /P 451 0 R + /K [214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233] + /Pg 621 0 R +>> +endobj + +454 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [212] + /Pg 621 0 R +>> +endobj + +455 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [464 0 R 460 0 R 456 0 R] +>> +endobj + +456 0 obj +<< + /Type /StructElem + /S /LI + /P 455 0 R + /K [459 0 R 457 0 R] +>> +endobj + +457 0 obj +<< + /Type /StructElem + /S /LBody + /P 456 0 R + /K [195 458 0 R] + /Pg 621 0 R +>> +endobj + +458 0 obj +<< + /Type /StructElem + /S /Formula + /P 457 0 R + /K [196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211] + /Pg 621 0 R +>> +endobj + +459 0 obj +<< + /Type /StructElem + /S /Lbl + /P 456 0 R + /K [194] + /Pg 621 0 R +>> +endobj + +460 0 obj +<< + /Type /StructElem + /S /LI + /P 455 0 R + /K [463 0 R 461 0 R] +>> +endobj + +461 0 obj +<< + /Type /StructElem + /S /LBody + /P 460 0 R + /K [177 462 0 R] + /Pg 621 0 R +>> +endobj + +462 0 obj +<< + /Type /StructElem + /S /Formula + /P 461 0 R + /K [178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193] + /Pg 621 0 R +>> +endobj + +463 0 obj +<< + /Type /StructElem + /S /Lbl + /P 460 0 R + /K [176] + /Pg 621 0 R +>> +endobj + +464 0 obj +<< + /Type /StructElem + /S /LI + /P 455 0 R + /K [467 0 R 465 0 R] +>> +endobj + +465 0 obj +<< + /Type /StructElem + /S /LBody + /P 464 0 R + /K [159 466 0 R] + /Pg 621 0 R +>> +endobj + +466 0 obj +<< + /Type /StructElem + /S /Formula + /P 465 0 R + /K [160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175] + /Pg 621 0 R +>> +endobj + +467 0 obj +<< + /Type /StructElem + /S /Lbl + /P 464 0 R + /K [158] + /Pg 621 0 R +>> +endobj + +468 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [157] + /Pg 621 0 R +>> +endobj + +469 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [470 0 R] +>> +endobj + +470 0 obj +<< + /Type /StructElem + /S /Strong + /P 469 0 R + /K [156] + /Pg 621 0 R +>> +endobj + +471 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [480 0 R 476 0 R 472 0 R] +>> +endobj + +472 0 obj +<< + /Type /StructElem + /S /LI + /P 471 0 R + /K [475 0 R 473 0 R] +>> +endobj + +473 0 obj +<< + /Type /StructElem + /S /LBody + /P 472 0 R + /K [474 0 R] +>> +endobj + +474 0 obj +<< + /Type /StructElem + /S /Formula + /P 473 0 R + /K [125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155] + /Pg 621 0 R +>> +endobj + +475 0 obj +<< + /Type /StructElem + /S /Lbl + /P 472 0 R + /K [124] + /Pg 621 0 R +>> +endobj + +476 0 obj +<< + /Type /StructElem + /S /LI + /P 471 0 R + /K [479 0 R 477 0 R] +>> +endobj + +477 0 obj +<< + /Type /StructElem + /S /LBody + /P 476 0 R + /K [478 0 R] +>> +endobj + +478 0 obj +<< + /Type /StructElem + /S /Formula + /P 477 0 R + /K [92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123] + /Pg 621 0 R +>> +endobj + +479 0 obj +<< + /Type /StructElem + /S /Lbl + /P 476 0 R + /K [91] + /Pg 621 0 R +>> +endobj + +480 0 obj +<< + /Type /StructElem + /S /LI + /P 471 0 R + /K [483 0 R 481 0 R] +>> +endobj + +481 0 obj +<< + /Type /StructElem + /S /LBody + /P 480 0 R + /K [482 0 R] +>> +endobj + +482 0 obj +<< + /Type /StructElem + /S /Formula + /P 481 0 R + /K [59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90] + /Pg 621 0 R +>> +endobj + +483 0 obj +<< + /Type /StructElem + /S /Lbl + /P 480 0 R + /K [58] + /Pg 621 0 R +>> +endobj + +484 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [485 0 R] +>> +endobj + +485 0 obj +<< + /Type /StructElem + /S /Strong + /P 484 0 R + /K [57] + /Pg 621 0 R +>> +endobj + +486 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Part (a): Six Significant Digits) + /K [56] + /Pg 621 0 R +>> +endobj + +487 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55] + /Pg 621 0 R +>> +endobj + +488 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [2] + /Pg 621 0 R +>> +endobj + +489 0 obj +<< + /Type /StructElem + /S /H1 + /P 29 0 R + /T (Scaled Partial Pivoting (25%)) + /K [0 1] + /Pg 621 0 R +>> +endobj + +490 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [491 0 R 210] + /Pg 619 0 R +>> +endobj + +491 0 obj +<< + /Type /StructElem + /S /Strong + /P 490 0 R + /K [209] + /Pg 619 0 R +>> +endobj + +492 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208] + /Pg 619 0 R +>> +endobj + +493 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Solution) + /K [161] + /Pg 619 0 R +>> +endobj + +494 0 obj +<< + /Type /StructElem + /S /L + /P 29 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [507 0 R 503 0 R 499 0 R 495 0 R] +>> +endobj + +495 0 obj +<< + /Type /StructElem + /S /LI + /P 494 0 R + /K [498 0 R 496 0 R] +>> +endobj + +496 0 obj +<< + /Type /StructElem + /S /LBody + /P 495 0 R + /K [497 0 R] +>> +endobj + +497 0 obj +<< + /Type /StructElem + /S /Formula + /P 496 0 R + /K [103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160] + /Pg 619 0 R +>> +endobj + +498 0 obj +<< + /Type /StructElem + /S /Lbl + /P 495 0 R + /K [102] + /Pg 619 0 R +>> +endobj + +499 0 obj +<< + /Type /StructElem + /S /LI + /P 494 0 R + /K [502 0 R 500 0 R] +>> +endobj + +500 0 obj +<< + /Type /StructElem + /S /LBody + /P 499 0 R + /K [501 0 R] +>> +endobj + +501 0 obj +<< + /Type /StructElem + /S /Formula + /P 500 0 R + /K [59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101] + /Pg 619 0 R +>> +endobj + +502 0 obj +<< + /Type /StructElem + /S /Lbl + /P 499 0 R + /K [58] + /Pg 619 0 R +>> +endobj + +503 0 obj +<< + /Type /StructElem + /S /LI + /P 494 0 R + /K [506 0 R 504 0 R] +>> +endobj + +504 0 obj +<< + /Type /StructElem + /S /LBody + /P 503 0 R + /K [505 0 R] +>> +endobj + +505 0 obj +<< + /Type /StructElem + /S /Formula + /P 504 0 R + /K [26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57] + /Pg 619 0 R +>> +endobj + +506 0 obj +<< + /Type /StructElem + /S /Lbl + /P 503 0 R + /K [25] + /Pg 619 0 R +>> +endobj + +507 0 obj +<< + /Type /StructElem + /S /LI + /P 494 0 R + /K [510 0 R 508 0 R] +>> +endobj + +508 0 obj +<< + /Type /StructElem + /S /LBody + /P 507 0 R + /K [509 0 R] +>> +endobj + +509 0 obj +<< + /Type /StructElem + /S /Formula + /P 508 0 R + /K [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24] + /Pg 619 0 R +>> +endobj + +510 0 obj +<< + /Type /StructElem + /S /Lbl + /P 507 0 R + /K [0] + /Pg 619 0 R +>> +endobj + +511 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [512 0 R] +>> +endobj + +512 0 obj +<< + /Type /StructElem + /S /Strong + /P 511 0 R + /K [384] + /Pg 617 0 R +>> +endobj + +513 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383] + /Pg 617 0 R +>> +endobj + +514 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [344] + /Pg 617 0 R +>> +endobj + +515 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [323 516 0 R] + /Pg 617 0 R +>> +endobj + +516 0 obj +<< + /Type /StructElem + /S /Formula + /P 515 0 R + /K [324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343] + /Pg 617 0 R +>> +endobj + +517 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322] + /Pg 617 0 R +>> +endobj + +518 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [285] + /Pg 617 0 R +>> +endobj + +519 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [522 0 R 268 521 0 R 283 520 0 R] + /Pg 617 0 R +>> +endobj + +520 0 obj +<< + /Type /StructElem + /S /Strong + /P 519 0 R + /K [284] + /Pg 617 0 R +>> +endobj + +521 0 obj +<< + /Type /StructElem + /S /Formula + /P 519 0 R + /K [269 270 271 272 273 274 275 276 277 278 279 280 281 282] + /Pg 617 0 R +>> +endobj + +522 0 obj +<< + /Type /StructElem + /S /Strong + /P 519 0 R + /K [267] + /Pg 617 0 R +>> +endobj + +523 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266] + /Pg 617 0 R +>> +endobj + +524 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [229] + /Pg 617 0 R +>> +endobj + +525 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [198 527 0 R 215 526 0 R] + /Pg 617 0 R +>> +endobj + +526 0 obj +<< + /Type /StructElem + /S /Formula + /P 525 0 R + /K [216 217 218 219 220 221 222 223 224 225 226 227 228] + /Pg 617 0 R +>> +endobj + +527 0 obj +<< + /Type /StructElem + /S /Formula + /P 525 0 R + /K [199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214] + /Pg 617 0 R +>> +endobj + +528 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [531 0 R 175 530 0 R 181 529 0 R 197] + /Pg 617 0 R +>> +endobj + +529 0 obj +<< + /Type /StructElem + /S /Formula + /P 528 0 R + /K [182 183 184 185 186 187 188 189 190 191 192 193 194 195 196] + /Pg 617 0 R +>> +endobj + +530 0 obj +<< + /Type /StructElem + /S /Formula + /P 528 0 R + /K [176 177 178 179 180] + /Pg 617 0 R +>> +endobj + +531 0 obj +<< + /Type /StructElem + /S /Strong + /P 528 0 R + /K [174] + /Pg 617 0 R +>> +endobj + +532 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173] + /Pg 617 0 R +>> +endobj + +533 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [129] + /Pg 617 0 R +>> +endobj + +534 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [100 537 0 R 106 536 0 R 118 535 0 R] + /Pg 617 0 R +>> +endobj + +535 0 obj +<< + /Type /StructElem + /S /Formula + /P 534 0 R + /K [119 120 121 122 123 124 125 126 127 128] + /Pg 617 0 R +>> +endobj + +536 0 obj +<< + /Type /StructElem + /S /Formula + /P 534 0 R + /K [107 108 109 110 111 112 113 114 115 116 117] + /Pg 617 0 R +>> +endobj + +537 0 obj +<< + /Type /StructElem + /S /Formula + /P 534 0 R + /K [101 102 103 104 105] + /Pg 617 0 R +>> +endobj + +538 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [541 0 R 77 540 0 R 83 539 0 R 99] + /Pg 617 0 R +>> +endobj + +539 0 obj +<< + /Type /StructElem + /S /Formula + /P 538 0 R + /K [84 85 86 87 88 89 90 91 92 93 94 95 96 97 98] + /Pg 617 0 R +>> +endobj + +540 0 obj +<< + /Type /StructElem + /S /Formula + /P 538 0 R + /K [78 79 80 81 82] + /Pg 617 0 R +>> +endobj + +541 0 obj +<< + /Type /StructElem + /S /Strong + /P 538 0 R + /K [76] + /Pg 617 0 R +>> +endobj + +542 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75] + /Pg 617 0 R +>> +endobj + +543 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [544 0 R] +>> +endobj + +544 0 obj +<< + /Type /StructElem + /S /Strong + /P 543 0 R + /K [48] + /Pg 617 0 R +>> +endobj + +545 0 obj +<< + /Type /StructElem + /S /H2 + /P 29 0 R + /T (Solution Process) + /K [47] + /Pg 617 0 R +>> +endobj + +546 0 obj +<< + /Type /StructElem + /S /Formula + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46] + /Pg 617 0 R +>> +endobj + +547 0 obj +<< + /Type /StructElem + /S /P + /P 29 0 R + /K [6] + /Pg 617 0 R +>> +endobj + +548 0 obj +<< + /Type /StructElem + /S /H1 + /P 29 0 R + /T (Gaussian Elimination with Partial Pivoting (15%)) + /K [4 5] + /Pg 617 0 R +>> +endobj + +549 0 obj +<< + /Type /StructElem + /S /Div + /P 29 0 R + /K [550 0 R] +>> +endobj + +550 0 obj +<< + /Type /StructElem + /S /Div + /P 549 0 R + /K [552 0 R 551 0 R] +>> +endobj + +551 0 obj +<< + /Type /StructElem + /S /Link + /P 550 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 << + /Type /OBJR + /Pg 617 0 R + /Obj 616 0 R + >>] + /Pg 617 0 R +>> +endobj + +552 0 obj +<< + /Type /StructElem + /S /Span + /P 550 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1 2] + /Pg 617 0 R +>> +endobj + +553 0 obj +<< + /Type /StructElem + /S /Span + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 617 0 R +>> +endobj + +554 0 obj +<< + /Type /PageLabel + /S /D + /St 1 +>> +endobj + +555 0 obj +<< + /Type /PageLabel + /S /D + /St 2 +>> +endobj + +556 0 obj +<< + /Type /PageLabel + /S /D + /St 3 +>> +endobj + +557 0 obj +<< + /Type /PageLabel + /S /D + /St 4 +>> +endobj + +558 0 obj +<< + /Type /PageLabel + /S /D + /St 5 +>> +endobj + +559 0 obj +<< + /Type /PageLabel + /S /D + /St 6 +>> +endobj + +560 0 obj +<< + /Type /PageLabel + /S /D + /St 7 +>> +endobj + +561 0 obj +<< + /Type /PageLabel + /S /D + /St 8 +>> +endobj + +562 0 obj +<< + /Type /Font + /Subtype /Type0 + /BaseFont /BVRPHB+LibertinusSerif-Regular-Identity-H + /Encoding /Identity-H + /DescendantFonts [563 0 R] + /ToUnicode 566 0 R +>> +endobj + +563 0 obj +<< + /Type /Font + /Subtype /CIDFontType0 + /BaseFont /BVRPHB+LibertinusSerif-Regular + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 565 0 R + /DW 0 + /W [0 0 500 1 1 699 2 2 531 3 3 790 4 4 447 5 5 372 6 6 271 7 7 428 8 8 457 9 9 264 10 10 250 11 11 839 12 12 316 13 13 538 14 14 504 15 15 505.99997 16 16 390 17 17 695 18 18 500 19 19 542 20 20 465 21 21 575 22 22 338 23 23 597 24 24 485 25 25 646 26 26 661 27 27 497 28 28 515 29 29 895 30 30 220 31 31 747 32 32 310 33 33 493 34 34 685 35 35 519 36 36 236 37 37 512 38 38 465 39 39 220 40 40 596 41 41 351 42 42 465 43 43 587 44 44 236 45 45 485 46 46 582 47 48 298 49 49 560 50 50 465 51 51 490 52 52 701 53 53 730 54 54 465 55 55 550 56 57 465 58 58 503.00003 59 60 550 61 61 829 62 62 702 63 63 297 64 66 465 67 67 749 68 68 588 69 69 322] +>> +endobj + +564 0 obj +<< + /Length 13 + /Filter /FlateDecode +>> +stream +x, +endstream +endobj + +565 0 obj +<< + /Type /FontDescriptor + /FontName /BVRPHB+LibertinusSerif-Regular + /Flags 131078 + /FontBBox [-68 -238 839 708] + /ItalicAngle 0 + /Ascent 894 + /Descent -246 + /CapHeight 658 + /StemV 95.4 + /CIDSet 564 0 R + /FontFile3 567 0 R +>> +endobj + +566 0 obj +<< + /Length 1592 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +69 beginbfchar +<0001> <004E> +<0002> <0075> +<0003> <006D> +<0004> <0065> +<0005> <0072> +<0006> <0069> +<0007> <0063> +<0008> <0061> +<0009> <006C> +<000A> <0020> +<000B> <004D> +<000C> <0074> +<000D> <0068> +<000E> <006F> +<000F> <0064> +<0010> <0073> +<0011> <0041> +<0012> <0067> +<0013> <006E> +<0014> <0032> +<0015> <0059> +<0016> <002D> +<0017> <0054> +<0018> <0053> +<0019> <0043> +<001A> <0055> +<001B> <0076> +<001C> <0079> +<001D> <0040> +<001E> <002E> +<001F> <0077> +<0020> <0066> +<0021> <0062> +<0022> <0047> +<0023> <0070> +<0024> <003A> +<0025> <006B> +<0026> <0031> +<0027> <002C> +<0028> <00660074> +<0029> <2022> +<002A> <0033> +<002B> <0052> +<002C> <003B> +<002D> <0046> +<002E> <00660066> +<002F> <0028> +<0030> <0029> +<0031> <00660069> +<0032> <0034> +<0033> <0078> +<0034> <0044> +<0035> <0048> +<0036> <0030> +<0037> <2212> +<0038> <0035> +<0039> <0036> +<003A> <0071> +<003B> <002B> +<003C> <003D> +<003D> <006600660069> +<003E> <004F> +<003F> <0049> +<0040> <0038> +<0041> <0037> +<0042> <0039> +<0043> <2026> +<0044> <0042> +<0045> <004A> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +567 0 obj +<< + /Length 7745 + /Filter /FlateDecode + /Subtype /CIDFontType0C +>> +stream +xyxb"z͸03T "EAiRI B e7=NH!!TUxx_ $ɳٝ3sO#<<==}VF$$E$'I}m]HXr%,>MϏ GzPZѼD|s~yϑ<>IߌX<8$&)")uQl\jBDXxҸoӧ1Ӧ!L J 9)<6!q"|Ԑ.j%q{τM\>jI&};yG~^009l Aqyh+y`&E"X +Z +/E+2cHt]Bc5xYi6)A=dҖ*Lip[LvIr!ÏVq2칲"(lBY3(J'1;FOztc,嬼P5 $I;{ؑb[׏CTYҲ2:F'X"EmdL:>RVTl2i& +x?x5ZR+I%Ag +c"گ^cȗ&w'ћnS_v$hoIͲHHEz?a0~5oh9D$^DQu +A]GxsTaZf(~F fKlni,%Qh!oNWE*ZQ`']1zѤ-U 28ih՞L4%/brl! mng*e&RV(5V~,nvS֝_Ti_0Naӳb~GYEGp(pfZ8ѫ|!T3q`JmS>ʇBMd*Ep_z˅PBW*m|WZ5zii뇫ؘ**Ed}AXK͎B|wEUV#8rň PC]n֊b/яr6Ԓ> ;ק) 8'QV:pv9ծ6H Wqu///*SZ.#1gblb"%@ӳ;+ʚc1Ix?8}(ʭ[K㧣 Hxn:x-,m bG8 >ZKeuM %q_!Of1ts/`»{Ι.ё4L5&;^LCZY"J⒍K9X\ȒV /K!QXbsrKm{iDžbJڊEشboo@ -QVw[Nv攡EKUz M +I=h4G+.L# o`|mZL SS1RڠQ46<VN#כrL`(J+@2i&Y=o{ *dh:]\]&)Gq~ VgP$IWd*(,5?[%U˳f stBO`.4 BXcSOY3QRlb]\4^͑6)Ѩq s?)>,-NlYt5EZ&*3.'Ҭk>]` ]5MN7BAf 6K٧=[oW+N>80Nپ1uzmo\@(v%_x]4 yubx_YzKJf6~0<7 AjKSۮ?6v3GlO59 +,$H ?\$VT JO |Ϝk/:kK*/]/hԩ/;bOa%, Ha~N\g1F53%߳GHiw,=kv ]eGr%Mdcv}q=(MĂe+:.F-P NεKݒ} +>0 +_5Nˎ{a/ɜ\PN@zWFinm`C> g|dq,8WE+v T2Nn o5r@T"Y#=%.jugX [aK1⢢Ҕxx +;_jɎ,>gQUqVf؅ib3 p +<2*bɺP4 5AN )$bJLB*JL{bj($/02].1Jva:`Pm/Vtz5՜Ȍy#.]Eu=/5W8ukJ[OOh;6d꡻뇀~<߄XBXqzοER՚!2aZEG LqhKK&ĔG߲>k釔`k>pu7a-16\(*N--)*hL3טV ^Qp'I>\C.XnOy1C\ۣ#aCr{m1K'%h i[ᾶ}pm;YC J5Nӛy_?+/ݚ9^ SPXC()J˱.:))5,٧. +P2ć>{ CGatDIW]_ cPOQ^#7;M9wl3n{XO3^( +z !QW尩lR +rR&ifcg'YoI[SYƽ?1+5;=t;h;@^wY\qiԇPTۥ$|A;̕ʏF[j0-M=%҆,xdװv?JhY+B0} 7oEPG.N޾s5m%XJA* -|DUm^VOih8v7sN-ŦkC}[jy i2VKU% 7=R᷷;nJIBxiTSUxs Ա#U ̪*nRwIF-iQRWM`)U^qz޼lj~-Jo9.TQOs?`ޕBѡ~.D[mCqDЈ w-Kp:4OzgA)[6IVj._.hH:~X5z?x0l*4S0>.g8db:`l|x݁4SXP[娹?%{ +:MNc}cwuP<])>{Ň)@~(DE1Aer5pPUMK2e *Ɉ)ml4 GZWûa욄rAh6;M{ȣ`0nR&r*x!.Ha$Aeo}_>RGskyRnN0.VhidV'wUқQ2HUx+Nt6*ˆ4(; Ye]82c_“==TmMIB()y6aLybuuyyuubyLLbb )*L; GQ鰐8&~0JtA|2MZLfB gP1pG?\!tt^TIc2B>6ttlIGx9Sݔ>z?+RCgՍ )]LA~Es͐(^zg}\a{ԎrgMAvxjg%"QU!ޚMxa-rg|o뙖w +]-uE,oP~7*˒BBⰒ=&1өL1UdY-Vä)kď0gFQ(k5q{ˈm֫Q +1z^k'0F9 p.;h.ZƠ8 0NőӔĪq m(V0:(rRISQ5ޮe +_M X\ |:{V%e:QWْ~o[ZA8AtWܢFrig`p?=z=]<׃/@TFQG.ln:;Ǿ7Eo"~Bm|Pa]eGM5qỏF R)qԀRՑG +Ч{{^gqAψ?n',N}X%7aLž1o?9z'{&Σmj{UH??ŧ:ؑdՌFO0eLIm-]2haH0Ĺ2 Fܠ 䭯j--C&BBwH.NOINNQGv?U`^{Be/huyGc\ҨѪ f$U/(3 +f)LG40?R@7XH1^?#JFUJTP¶m":YN:o"{}01n?lDz` a#Ay} kiZCkJJuZBVBma>NLrKY^>QI Q_Z +Shk-}W"q'Pe͖<F.o[btHh!8x4'zzNYo%).g;;Òna?.%~^ʤ8"m.9|!qq~ET4!&DkqGaԽs?QE^F^XA%n"Ћ;_̴ g)Ո.5k.ZqFR+ZZݶ(_3(, x +yC(-ia.~֝0 0[G!:;Lvjg:Nz߰n{X^WYعd4=8eRՎOyߌ߅n?%"鴸\ Z b_cIIQuwt w1LL"BߠVgILe܃>{"hI +l͸u4&~uN ku\n}ہ6!&Ԥ{G/i7y24SlD6[$?usAmyv\".^-E.F| Ϳi`\tݐ Yn/Tʛ-Qc\umtp?A0:X!+TL^)mE vJl+ saJ(෉zpC0ZFtlBO 8H HMn0|4jT4z޻f0 +Ua)9|gR^EG zwꛇg:Cv73N{B%/v! +gC;[۬gWT(Uy漎&3^n  it47=V[ "M'^^~æ2I(4Z|)8` n.o sЛ06zf"̇7a̴;AGGGa**&|rZcBA~pdM55Utp$ 3N|cqh\ztͮw d6o2zɽҵ_;ˍ C +p7OѱUvub|Rc Ey:˻/+ _1ej~= @j6P7hGl>o?D}h;zj3?ERRG +`q.Fu/ɼƳCq G?3h&fos k>ij?3Ʈ?\(=oBM/H +/ÓAwww/F-/mb\̈́BXX8=!]2ӏEJL{7>N T <.b@$mRJ1X)tI= p6vZ᫛_UQAf勈4q[_n2y*Us9:eQZ)riQUn$Btp*rJz ĩpя=]^0 +|uw9FU;_(j;80 `7nlɌ&ea2)$Yf[Vs{ujJ7 <^]r KI]JU-]֝"z &qlֶ;נaI!#.4^*̒Iqt:v^xPX[͞섲 bOw{]*D3Pr`ǕY\ 3-Pbϵ 9Ҥ,Rwg{ sfǢpҫҝ_^?2l~DL1t2.W30Lwj{!WHK>T'z݄%p:[̤((--*m o +lAqv"+9 Wd;M؉^fqt{럲v ]aJ^ND!'0MH2is:򉊊p%XS+ DN($m` zݟ +_!MZ6"60= Vg}dspt :+zmGKgM@\$@< (?9/X'JGnajg3 ]tcw';?gϳs{W['XUndĥ&$Ҷރ1'^:г\tt$Fs/&Tg,xHViI첅*q{*l;k񎺦`]T!bNyObq0Rh;hRE5y}6ʱ2-YB@nfHԴVM59jmgXܕ2L8t¸i+^@c7 2C~Տk"l֬y\e%6##4bJnxbo#{ɚ8E %M2q c<&pipZy}H H P6z ~Dp_Mц>b罱0v5zcxDvC'aljW2NO Dtcd@md6啇eb#S2rҡ&ѢԲZK}+ X +endstream +endobj + +568 0 obj +<< + /Type /Font + /Subtype /Type0 + /BaseFont /ZMKXNU+LibertinusSerif-Bold-Identity-H + /Encoding /Identity-H + /DescendantFonts [569 0 R] + /ToUnicode 572 0 R +>> +endobj + +569 0 obj +<< + /Type /Font + /Subtype /CIDFontType0 + /BaseFont /ZMKXNU+LibertinusSerif-Bold + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 571 0 R + /DW 0 + /W [0 0 500 1 1 740 2 2 598 3 3 905 4 4 489 5 5 428 6 6 322 7 7 456 8 8 505.99997 9 9 325 10 10 250 11 11 899 12 12 358 13 13 619 14 14 551 15 15 561 16 16 427 17 17 740 18 18 521 19 19 616 20 20 514 21 21 367 22 22 561 23 23 256 24 24 504 25 25 581 26 26 514 27 27 358 28 28 706 29 29 514 30 30 716 31 31 777 32 32 573 33 33 514 34 34 244 35 35 654 36 36 613 37 37 542 38 38 391 39 39 315 40 40 514 41 41 641 42 42 315 43 43 652 44 44 558 45 45 545 46 46 609 47 47 730 48 48 529 49 49 373 50 50 688 51 51 514 52 52 732] +>> +endobj + +570 0 obj +<< + /Length 13 + /Filter /FlateDecode +>> +stream +x~ +endstream +endobj + +571 0 obj +<< + /Type /FontDescriptor + /FontName /ZMKXNU+LibertinusSerif-Bold + /Flags 131078 + /FontBBox [-70 -238 893 720] + /ItalicAngle 0 + /Ascent 894 + /Descent -246 + /CapHeight 645 + /StemV 168.6 + /CIDSet 570 0 R + /FontFile3 573 0 R +>> +endobj + +572 0 obj +<< + /Length 1342 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +52 beginbfchar +<0001> <004E> +<0002> <0075> +<0003> <006D> +<0004> <0065> +<0005> <0072> +<0006> <0069> +<0007> <0063> +<0008> <0061> +<0009> <006C> +<000A> <0020> +<000B> <004D> +<000C> <0074> +<000D> <0068> +<000E> <006F> +<000F> <0064> +<0010> <0073> +<0011> <0041> +<0012> <0067> +<0013> <006E> +<0014> <0032> +<0015> <0049> +<0016> <0078> +<0017> <003A> +<0018> <0053> +<0019> <0070> +<001A> <0031> +<001B> <002D> +<001C> <0043> +<001D> <0033> +<001E> <0052> +<001F> <0077> +<0020> <0071> +<0021> <0034> +<0022> <002E> +<0023> <0042> +<0024> <006B> +<0025> <0062> +<0026> <0066> +<0027> <0028> +<0028> <0036> +<0029> <00660069> +<002A> <0029> +<002B> <0054> +<002C> <0079> +<002D> <0046> +<002E> <0045> +<002F> <004F> +<0030> <0076> +<0031> <004A> +<0032> <00660074> +<0033> <0037> +<0034> <0047> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +573 0 obj +<< + /Length 5972 + /Filter /FlateDecode + /Subtype /CIDFontType0C +>> +stream +xYyxՖ&FSTUXQDAȢBY!Yh'IzY IBB(QsApQ)2|9~Usﹿss˙8r7b#$ɩi)oJc濒p8bK3 /̡ ;W_Bgp8'>p<8믾C)62!B)Rx5!Qn_pы;c$t +ܖpH"N \Ùr田JKJjQ^??#DEL ţ?_{vZ4_x{v!=A0Ӿ0^ك>[:gM + +yI{Ow[ +8>5fYAv 9[i\l&.fRۄ{%s0Lf Vlj.B,E7Rӝ3bmI[KX"f}uWnXn)c}gߝ{}o +&j/.0|sk""@:͎2Zԫ +ܫK߇-8|aʩ!\"R0r&=a1CK E2**9^AÒ2F,1ߗWh Ϯ>jl9CM"hהγcM_ wYs&Dp\ +/)]~?6 ajZVjRKy{x-f}hf  +j +*8^|jW#=d3bvxqDtMj].fYd*(kC^m3r[5-rТ2_!D]yځD$v}p`Į\ xy_tb%_cu~yzƮB [Gұɱ[?K4e* +j(wI/ z=-B"L>x[ё#(kn;>슯b}y.%M'l;S;2~$Rjw[&?zfs(:/"yv3ABUg><~=L0 <^CtVa}֞cUt2M]6@`6f/j\ +xpSBqZg[]U16J;MNa^|*FoYƯ$6tDxeU8 +ȓ3dxfcsb5-B岛~??`8O`C{v(QQ9/r<9@Ш~,XE<~67n!n]5l 0~kljc[5ά.Оo3Ў[x>z݆c1)X#0@Csw&c,toMVMuTֱSx>R +EjisX il=Ax # 0A9vͦ#c0hZ㈭TPmy5 tږT^[A?"~;K-Y`љ4vM<s +V[A+ y‚,Pm# @#Pir)LG/_Evyѓ+Z~ܔbRN`w 㿁F}4`KOƓG%B~Nv{x_ЧPD.7c{Z:` +ؕHT7[k2]Y(lvPdNrw\*SSsr;Ӕ%RER21l_G2*Üdh"һc9g̰-Oay%V|,u--g$FMbwmn=ʴ߳qBX@^fPL n9ifܗ)3vv (r~ƺh'5Jl?OcNFT##(o}D9ǙIa'YjaxҁJ"8>J<'$Ru\\OEg גDSQgVUV2$==>FOn岛˹5W l~)NRҜja񒱫CwfRل; +JeL32bZw]]v!,WB0X]?b5͚ ]R.Fs+'a*ae-/l\N@|.ߖ3CFڦw +i4ma_dm% P(g63;'[(n"̬5h3Gd8=Ͱ +c +a[UPq4,9{uu[::Mbq44&ګjvc_7<eߜwa۲bQq 8o˕q>iMbox֍FMNa mV0 C.f9Pet[sK;ɴָcT7#+u'OnЗ 6QZCC8.8CP R=w ;x0I[U!GeDvҭ1!Gb1oUN4? VQ^RMvIK濘lOEz7{e +jzYox~@[TJmn*5ᵔŒRT,iCht^l8x|~ޝ}or;@W;hʗ%G(sKT5Nvsa +~C,%_^"i=LX` +P//"d~ވօ(-GSQn4w?Q^'E*{䅀c_}T޺y](*MGHlG ^Kպ#ʪ("I)+ʬʥm$Lk@znƾ~I'K4:1Ȳ)nQoynRKUltx^ 09 #K| n=%RI^XsdII[ +r]ZIL❪/DW-TU΢55kӗRᰏ~u )HD !cNb Z5$I4e\4K,W/GʋZ[.G aBzG4w g (<~@ 4ڛ3p1 ?:C.iݳpW|s Ij<#CX( + K1.~k%AQ@H#&OlGalߨbKaoEgnX`v̇$$؏,05mgQگ uN:!%,I0eIg0Z./tqH4z:8/:ŋR +an~e _ ~9Uy2v;%e^ s +;-.%ERG0mU >0 &Ftw>nY< {~IGqxձ*s596wyO-NEO2=ܟE9tXҩ9C|]UdRRG]ryxOQؐy\/ӉDEwC!Byh6aVrL5mHp$ Z7MGh L"U9@󸹘)w'kWo$5@`af &g$i{D[cf!jAJSyaCHFW "Zmr!6h0]Чq}mƁ$r:^>=XuRqj'[z[C%-2aGdb2iG4cɴA~ @-`{5LIy- @rȅ&!".jtfB͎u~P;죂wmTϞU.hqX{A$+4M bf%cdYBzֆvj.>=O۝Q[[`R- O=?<%zYQOOmg"lE Zm8V0L,mljn_LfLBLbGZt-(#12Zc45.1ѱ* @Ycњ%LuV΀9۫YHIZ<ۜȥsb+Ά +(_>(X^fǮ[,+O36uf[ MDmlԶZS'H U[C}s]*X_brZe]O]hb: +S3)$4ΥYFܚ[#l$5x}9츫0vr_\)Dm%k5)qJ v8G@@[.lilUy؛9zʔ 0T"X򰗽gH`93^ ۩=[=OzVwNS#g?@C_BЊh4a pa_rܩl 0c৴i+[nsFG\bbvZCO-N-q',s0_ǯQ1 CLDdMϪ܅H@~;< +<~`\@2Kߜ]txzcP Cж`l;ܧi7HwiCc/G V PFvj6N+&\T +&˻`)|UI=9R9LUKjiQQS-ϣ,P]޳=Fpt +endstream +endobj + +574 0 obj +<< + /Type /Font + /Subtype /Type0 + /BaseFont /MRAHMF+NotoSans-Bold + /Encoding /Identity-H + /DescendantFonts [575 0 R] + /ToUnicode 578 0 R +>> +endobj + +575 0 obj +<< + /Type /Font + /Subtype /CIDFontType2 + /BaseFont /MRAHMF+NotoSans-Bold + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 577 0 R + /DW 0 + /CIDToGIDMap /Identity + /W [0 0 589 1 1 572 2 2 281 3 3 724 4 4 599 5 5 650 6 6 501.99997 7 7 299 8 8 650 9 9 260 10 10 560 11 11 298 12 12 975 13 13 434 14 14 625 15 15 856 16 16 650 17 17 621 18 18 447 19 19 571 20 20 632 21 21 339 22 22 572 23 23 902 24 24 339 25 25 551 26 26 516 27 27 597 28 28 572 29 29 632 30 30 281 31 31 578 32 32 685 33 33 732 34 34 632 35 35 577 36 36 642 37 37 632 38 38 572 39 39 571 40 40 572 41 41 692 42 42 387 43 43 791 44 44 572 45 45 331 46 46 320 47 47 943 48 48 620 49 49 656] +>> +endobj + +576 0 obj +<< + /Length 13 + /Filter /FlateDecode +>> +stream +x +endstream +endobj + +577 0 obj +<< + /Type /FontDescriptor + /FontName /MRAHMF+NotoSans-Bold + /Flags 131076 + /FontBBox [-74 -240 904 765] + /ItalicAngle 0 + /Ascent 1069 + /Descent -293 + /CapHeight 714 + /StemV 168.6 + /CIDSet 576 0 R + /FontFile2 579 0 R +>> +endobj + +578 0 obj +<< + /Length 1296 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +49 beginbfchar +<0001> <0031> +<0002> <002E> +<0003> <0047> +<0004> <0061> +<0005> <0075> +<0006> <0073> +<0007> <0069> +<0008> <006E> +<0009> <0020> +<000A> <0045> +<000B> <006C> +<000C> <006D> +<000D> <0074> +<000E> <006F> +<000F> <0077> +<0010> <0068> +<0011> <0050> +<0012> <0072> +<0013> <0076> +<0014> <0067> +<0015> <0028> +<0016> <0035> +<0017> <0025> +<0018> <0029> +<0019> <0053> +<001A> <0063> +<001B> <0065> +<001C> <0032> +<001D> <0064> +<001E> <003A> +<001F> <0078> +<0020> <00660069> +<0021> <0044> +<0022> <0062> +<0023> <0054> +<0024> <0043> +<0025> <0070> +<0026> <0033> +<0027> <0079> +<0028> <0030> +<0029> <0041> +<002A> <0066> +<002B> <004F> +<002C> <0034> +<002D> <004A> +<002E> <002D> +<002F> <004D> +<0030> <006B> +<0031> <0052> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +579 0 obj +<< + /Length 7950 + /Filter /FlateDecode +>> +stream +xz T\ǙWuM 4\A@#RCл[nz@[زBؓؖOIf=j)8O('uN&I2$MvUv#Suزq[W@.CB} Z5:@sf4=_%Ǧ/RGL66q@S犞_Pw|fW +#&7g'2;dIRY@;-Q/('ǁ|x\24,Z`|7$b}/$C.9]'#,u&Y`4ƊuF$_&q曪k%.MkH:xr*uM8f̕H;!xI1k Ėgj$j灤OyOX,X':S)-kbg&YxҗX3_oo'bFcɴWc_+P:t*2gʼn Iac 0Pp2LpI&3)FT6 = +15&3$Ɠ̢Y|)F! +q3)Mf-G_zM̚`JOc mQ[d$mVLHǽ4ەd$rɑbYk fƠ39#ifi 1qjK8X,(>AmqZDѷb8EZC*6O!A!dZ_3\Br0b+c_Wc;Oͱm*ǯۊ!'}^ݗjXMfB`$i4R=bekgRceB_vCceB(k2& 'bZcv=X1;'Ru611#9˜Ru!F=lyyLكdz235&ǓY.>&㋋ѧ3^so~1bAVL3VY,I0lFrȂNr==l:Z**p s 88# >֦Bmd +>VYJ#+|YFV:#kc-z#kcgjzxwRŒý%ČU3bhb`e񬹨`䓑̗LV9Yh5|3FVc*|7*laCdhiV:#inank +k14mP{mNr[*ΖXKcV!dsJpY%i3vAyNd$xWZ<_9oޙm#.kukA?C"bQ#*#hd)~- hqqP3ZG]=~16 nL3/вňDpj1kZbguEyLylyLH^5E^JU*#maB[} ;5ͣDzRgJ"39dr"eJ"#;dtMcr@tzuV0!nIkwD7cHse( Su*?'B's]B4rл;Cge}_ʵyES a[|8]9U0Tݬ=-U$J,U3t-̥8/E>4i_&q#B't9z* +BF@Q0VUFmAno눪RJDK乪ݚ8~x @б <"8be|&BΐZ~N#v9U6#.2F=`MA64t:KD"+YPAh΍Bw8~^ڪgWmB%kUt#v ϿOZ}L{`g\ 9>B`_{a=m`GEMZF xXI%QA$Y%DFYx2A* *)' X0? +U%J9EƼr бTr]5 ""KV;HZ.^ٌF84NzΜX'׍oM_x T فz_S/52f4޷g"[+UKoƀl :XIcNV鰪PI +JxckS|sT -6oDila߶B}-OOɥo:w8]䯩zc*"QI% H@XpcVUۅ5.Kv⩡g7%7SW{#m斄)UQ.rs; +}~E""k8;!"JOѱbEA)Rm#(mnmnJ>A6Ox CMP8$t2BAF|HT"#+ۛFdYPBVbv[բ('ZOIBbBeʄ,}H!ʇU#f$p92[q +Ra֎KdݮGM*ÞƖg)jeK֯MV4-ߤԀ X$(=ou~03 +).{}}KWں7uu+O崟w1q\tWzjj$b1NQ1(Gr"NGv)I:#yUjO5M"\Brg\Hd#K$ &";>[mt:8==-1ocK6"jZy4ʆ@CWLo͔W.*@=b>,a8phV")O/ԨmV>G זz_]0XtaplM^E(Gԇ9Ycuu 9Vu w G/=֢dU%]ٽ.n"hDr 'O}W0?!Eۥ? '@O0K pؐΧ^UV- ?/?:=vWgZL -ߤ[pK "2^"M}^RqUD3bewMuUun8jUW>L{[ׁ݅ WOnliii;]M}譥׷m=<  +ozϥgF_>M:AFuJ +EEɃ#-VdQPEDŸ*kމ}ƞg?58lLKk3g>?\w/Toz)[En9a%D[Nd*g_3r'58w|kj;zr]\1d^]{v:U*_貸m +POʛ*F*5j.W`&uҷĖXwȊHDdNe((om)(ڴEΩZ\f\ u=*rriuTTσ S5Éh)h<3v!ڸ-Y&<3RPu񚆔_:$POY5Kz=b_d2՞Tm=ZZLkt]nyGsoCηܚqNXidy{Zf>t/ƍѹLͿ^H~/Kĝ/or D Dž;@4ݮ*>鎈i} X"4Kߖe\ZDoݎ*tmt| Fo9J,EV iB2,', O=;ʻa(x0+^2}= Y@Dt;$w7Г;w62{CukKcֆQ:XjAE)Swj啷V{?zޅCCW]JurtŃ_=/=ˠױpqUSzDZ99vKo=R!p\Z6H%"[%O Zrhuྲr7`GC :GLq!U<.5C;:DCWUKee*XquZdF=yLjEt jb^`OTfdH6O0sU[¦EOQCo@LwQ-,I"cw=*O#^CEkqDx7KE"W^,/HzTmv/}dgmr߈{:Mou1_P op"6Q^! +3uF /,x0"R^~.=]AKecѯ4k?q߆(^u3% +5<1̷JlRUTh-(&"h.jq7;]fgv˖x񝡃UK/qs*}?9\[X_qK>bkC PXcCK?9?uyNɃ(톝 /Jb4\OhNI7B~HK!z.isJ+"XVW~>~Rnoc+8Zo|J'Wo ?WjE_/Z*,.Roo}V +L I?Q|wH u8LPWs0E,LVT`Ud.[Gsp[9؊r+a3rp1l#\u$09\Y14h8)h,0 8Y&n/cg1 aЄ& q/ bM8;(fq GN4B8/|q +!L4N`Vѳ <4&ъ0тvta۱ZcV}SFmٚ(2Yts4> Nц0hǑU%'qYd0) 8ML f1ccTPϹ92$vr1}wÔu7̊6M]qlwtz SXXۦ=0܋I!qn{$r6uĹ_9! NaŔ&^r;+hZ. a[O9yd wiozzC ]>3 as3‚iCc#ra3hY'hD؋쀄l8a'cA +P +V0u87P~D.qa 24c _Û;YB>b,,Xѧ=;zQ8/8^pU +6rZ[z\ΩS8(1T-ĪboްQF(j̢2[ػ_eȕIߓ}Z z> r9Փ$I[nkIkdCL~4Kw]T1kA +endstream +endobj + +580 0 obj +<< + /Type /Font + /Subtype /Type0 + /BaseFont /SLBNEB+NewCMMath-Book-Identity-H + /Encoding /Identity-H + /DescendantFonts [581 0 R] + /ToUnicode 584 0 R +>> +endobj + +581 0 obj +<< + /Type /Font + /Subtype /CIDFontType0 + /BaseFont /SLBNEB+NewCMMath-Book + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 583 0 R + /DW 0 + /W [0 0 500 1 3 875 4 7 500 8 8 778 9 10 500 11 13 875 14 14 572 15 18 569 19 19 778 20 20 500 21 21 529 22 22 278 23 23 778 24 24 278 25 25 878 26 26 278 27 27 339 28 28 569 29 29 500 30 30 778 31 31 569 32 33 500 34 36 569 37 37 778 38 39 389 40 40 569 41 41 469 42 42 833 43 43 500 44 44 528 45 45 778 46 46 773 47 47 833 48 48 520 49 49 404 50 50 600 51 51 429 52 52 407 53 53 803 54 54 278 55 55 905 56 56 345 57 57 778 58 58 763 59 60 422 61 61 778 62 62 607 63 63 778 64 64 659 65 66 278 67 67 675] +>> +endobj + +582 0 obj +<< + /Length 13 + /Filter /FlateDecode +>> +stream +x>, +endstream +endobj + +583 0 obj +<< + /Type /FontDescriptor + /FontName /SLBNEB+NewCMMath-Book + /Flags 131076 + /FontBBox [12 -297 960 1495] + /ItalicAngle 0 + /Ascent 806 + /Descent -194 + /CapHeight 683 + /StemV 95.4 + /CIDSet 582 0 R + /FontFile3 585 0 R +>> +endobj + +584 0 obj +<< + /Length 1548 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +63 beginbfchar +<0001> <0028> +<0004> <0034> +<0005> <0030> +<0006> <0033> +<0007> <0032> +<0008> <2212> +<0009> <0031> +<000A> <0035> +<000B> <0029> +<000E> +<000F> <0031> +<0010> <0032> +<0011> <0033> +<0012> <0034> +<0013> <003D> +<0014> <0037> +<0015> +<0016> <007C> +<0017> <2265> +<0018> <002C> +<0019> +<001A> <002E> +<001B> <002E> +<001C> <0035> +<001D> <0038> +<001E> <003C> +<001F> <0037> +<0020> <0039> +<0021> <0036> +<0022> <0039> +<0023> <0038> +<0024> <0036> +<0025> <2212> +<0026> <0028> +<0027> <0029> +<0028> <0030> +<0029> +<002A> <006D> +<002B> <0061> +<002C> <0078> +<002D> <00D7> +<002E> <2248> +<002F> <0025> +<0030> +<0031> +<0032> +<0033> +<0034> <2032> +<0035> +<0036> <22C5> +<0037> +<0038> +<0039> <002B> +<003A> +<003B> <0028> +<003C> <0029> +<003D> <003E> +<003E> +<003F> <002B> +<0040> +<0041> <005B> +<0042> <005D> +<0043> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +585 0 obj +<< + /Length 8015 + /Filter /FlateDecode + /Subtype /CIDFontType0C +>> +stream +x}Y XU&Ґc[Gǚ`gsf증ZSbҖJ @IBHB/{B-$KXZ +bX]Vz~3}~й㝹䜓;ηoa3f1HWm|@>oPIO!"l.4;30f9stX0݊}:,=kc߄3dab8C\G=pK_P#O%g͏#=#/J*eFeERR$G SDQ;wD +Q2Ry)QE奤D9//X O/-H +y [@[uˎy֯z}K2qTP">7?,0F c7D~ A%Yܙ3vg?h=fZ,V}lUbf? [McF#}hO-Ȱմ_ a2&\1c ?0߉m!u=J\`̃Gg>8YfeK!e6G~tѣi,zƈG'O̜3~rn3o6oOTtT34>scn\%׏2FGhɎ_GNz<>ƾz k86+?_f- l( 8?BޠC1z͢ꭀe-8#5TXĿ*82 VPr4znzzRPlP"ʆðx~-^Љq|oO#\ŏB)MD(A)W"dHU/1@[֨52=(9o60lQImU[Pn|{2U˹oP(=7m1zocpl'3Xc} q!:+: Pl\ǘ؂}E*\P{x]Y(׉l=#ekab>x`dd4ifѷIQjD$@M#8bhңtV"*ʪoyըri3~^ن8(nGCm +660"MtalR/%fHcfh{[ǡl.Ų]_55  ֏)8^8JEP VYZl3TheCO(^IkRj25Ē;Ǥ͙qg8_@-Hm:):CmZm9(С+XM> +~a.V=ߢ]Qp?:?/?.^Қ5& JE7f]s}˻8O=,J_M>ElO/_n +r.po72Ĺqtn$qf|Nrdj* 6ɉ>@"H +Np]6?J@nVXvsQܝ q#C {cp|*?xI4n_PXබP~*p\Ĺ@ʭpM !5[sDŀNMjX 7tZ"|ĄƂj!m+w-9jZ4lE3]<\FӍݑGxߖb& |#η=P^׾XTIH(+\fYd)l!_yC/0V{o?ذ腤u/VBLR[]ğ} ByJ)n:'|Y:A?Y!C;P@FU ,gBn*1e%D?Z<- +f:'*]ƌA E4b6a2a +^ +Z?BN?ܦ] {Hm֚te5Ȓީ*G{1\9us'PYXƷ +s}q[`4$}Y#oQ8TU?opQ?|Ĺ|g N;Ob#7"jfV]Q3sg/]åI=Қxp{|y01Ъe!xF]ThJ `+VbEAg@PM2F +PXN3J D^(;ysx#^VKo[ D'4J8Ln5wN‰j5u>:\@wx c0@`oRE{竿Ļ?|"EJʻgF ?Oo V8%;alՕwH|Ơ(bV$'eE|HSEUR/b="u>Ĺ98gt75D={lɋԎI"zx?LH{j:.][ +c%,@q|Ϗ t;8TXZ(e8q$AN4g tAsYq&3 +e7K~vSpFǐqDezvZ + >Q{a ?0};7Gmm e {݈]qz9`9{ +z PKfU 0nɟ`jߺ#O=O\=1_,HKa7DwZtU*_ ~vVXMG%'$yu7q82?-D\Np7\̣}H[..͓ID +Jѡ2-y^Wm˹Mpoz!W|HȇH-N*HS&Zk_#ay1VX{h,ꑦGc坄pa04j8gj[ NnU}eA)eMB"~Ma{GMM'ݯp͓_ @sYqIëQ_(&Cⱱt1 7#erGޏU+]Rʺ{2C YoYvx+NՒ+pd+-Ww3MyF tq{&.Dɋ/2" սԻړqf`SM B鉓ãoUwK_Hxg[u&0rƤ5ƒeUK,ktZt4zqq*Sw$c_`_$3%ؽ2A)ҨǀZLsV ST8= M.P~{}9Cmr1K_ͣd,JZVO)1K=tnR[m%x^Ǻ6_j?dXf.3kPVu޲Se 2 6̭>frSS@ + trGYbDy!v%ٮ{˞V~A!Ndnc%+iiSaAY]wbM뀖vv,sCS;t <>Ϛm2)Z!"[8A`Q8M͇GjOiqR]+a|EߗVku\)c0%fgl7 P+FI+˘q9lD=,^hB*JayJ(F,EoZScY Jψ +1s d3JauOWx +3f<3,P +j7/3Nj-[<JaC?xS*B"YjszRxBxP{c < +9=V:T"6^:~xGgjrK NN/ɑ%) lWV žДR( +&=ұ Vat7մ;z~E XRإzJ;}/fVJ EQWg)Ecem6UV]iW TKmCAQ!x9?PzW30-. \0ߵ [3 ';ӄx?)GD +U6_e3.B7e_Sh<1MhU_Fq5i'8n幠F)z~[/-&zxSVDFzPA"Hpc9z4w%V9aBeJ M<XD3Ns-9*zozxAw2ج 6eP jDj!AרLTy& Ɉ<>̥ @Cԓ-Le8?M˶lipVj;R74h7U LlŴ84cs.#GíUFZT4XS#}"bL\xPJYpz uZ@L.42U5S jNT'VT7d=S'xTEr[s/9m QS2jt\?Jp](wr!pSXMΓUK6Hg[oE. 3"wp9B0Jkmimq.43[NBxg7芅v#ibYAiպ &w-n+A%" 7孓'rbBhbV@Gpi౱ d ؂[D)H*R=TM|ꉠ{4=ES~>cvơI۱h:>on^1#ɥbEˣa;e#{F]1s7apN#zr+ewO3>>ւgGB>@8<6.5#:st(b] >qwѐl2u iAg07ٹ"Y8O_`Iyg8Ǩ7,7bqn{Z1|H/Ŀ&| Ψ iL:hЪ"a)3~*:A@3,`6Mo41&VbPN(SF6M'݃H|ks+Fie B5yn!9#\j.xTb5b<9^Σ? 7C CS{ǹsV8ã@|Qwp Ar-*uZ"C ~)^^;'G 趁 NƦ0!aD,Ljd ôn8:&,XeAn/DK +hC- f&N~!^-AULF{ +p8m56el6uT<Y +endstream +endobj + +586 0 obj +<< + /Type /Font + /Subtype /Type0 + /BaseFont /MASHJE+Consolas + /Encoding /Identity-H + /DescendantFonts [587 0 R] + /ToUnicode 590 0 R +>> +endobj + +587 0 obj +<< + /Type /Font + /Subtype /CIDFontType2 + /BaseFont /MASHJE+Consolas + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 589 0 R + /DW 0 + /CIDToGIDMap /Identity + /W [0 42 549.8047] +>> +endobj + +588 0 obj +<< + /Length 14 + /Filter /FlateDecode +>> +stream +x +endstream +endobj + +589 0 obj +<< + /Type /FontDescriptor + /FontName /MASHJE+Consolas + /Flags 131077 + /FontBBox [0 -205.07812 532.22656 727.0508] + /ItalicAngle 0 + /Ascent 742.6758 + /Descent -257.32422 + /CapHeight 638.1836 + /StemV 95.4 + /CIDSet 588 0 R + /FontFile2 591 0 R +>> +endobj + +590 0 obj +<< + /Length 1194 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +42 beginbfchar +<0001> <002F> +<0002> <0020> +<0003> <0049> +<0004> <006E> +<0005> <0070> +<0006> <0075> +<0007> <0074> +<0008> <003A> +<0009> <0064> +<000A> <005B> +<000B> <0031> +<000C> <002E> +<000D> <005D> +<000E> <0028> +<000F> <0069> +<0010> <0061> +<0011> <0067> +<0012> <006F> +<0013> <006C> +<0014> <0029> +<0015> <002C> +<0016> <002D> +<0017> <0066> +<0018> <0062> +<0019> <0052> +<001A> <0048> +<001B> <0053> +<001C> <004F> +<001D> <0078> +<001E> <0073> +<001F> <0046> +<0020> <0072> +<0021> <0077> +<0022> <0045> +<0023> <006D> +<0024> <003D> +<0025> <0032> +<0026> <002A> +<0027> <0042> +<0028> <0063> +<0029> <006B> +<002A> <002B> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +591 0 obj +<< + /Length 10274 + /Filter /FlateDecode +>> +stream +xݛ xUoUoNoCuh:t&@dIg%,I`Y*!(q( +(ø , + +2:cA@qA :]={I~uԩA,Xy-K\y{m{@wJ3oYۈ{ +X $nom?U9loomL7cξ~P?iJ #monatn c!ׂWX - +u@ lE Q@c@b`' +ş Љn<>Gщ؀-x7d4>1g  4$ĉ>JDNo40L?܏K<Χ?՜?Ob~OYl–Hڏ)c3O)5e Cgq_$L1B>Gi +ZѮL,FSfJn7mpf}xH Z>5xB~[[9L+S9JV\ݬcX,wMN>J48zĘ讗1UV\mtߠPSۡ ,5}"G<2=&W*6RtWK*FC1M֣c] +-2Hf(١eU jDl!Fb{e91,a P}$Hi?"rbE1vSx/&TݭwKW׳V7P̨W{;2J]>/bP6^R;uf%'j]&wW/G1dLlkẗltW6+.)4^X~9+=Qv֏MUC ߘz=;U V#MkzvFNZ=W gjRY"p VRW0Sw^njϴBKHi-M@KHjdW$lpɬonhhnl`3 Q)Ep!ݭ]ҋYz1O7tTvݜ=H%>EV+400>pt<3ꕨ\<obLPV48PWώ5z&4(*D%3S=1l,%5ɭ%5]YѠ4de\UC/SNmqQ̞U Q+T%=-niitCBjfCKkMhUͩ`=YUL\6cC^ZɠDyţDe\ДGx&XgbVŠ !N!EՒ٣X=xbGkaqYͣ=3-4{Ydqnve`;?/MP6]jUM֟?z,U1<Сa| 7=ܛchvÔb| + 0wzch)+Diۇ2Oy':}#gS n;WP8"Wp }*Hgsb}NU:J'>Z{܇[!O5#%l>Q}]'rJ28w[N/UJ΁a!JHA}=+#rx?E򇍆̀K + (d~`9UB / 8>9Gt(h G9羥<~=F"=BnڊDXh$ R8kT/.)"G}Ey !vp F{ã`On5trS#*;_ Be/bc `CM<#Fo]m5g Dx5#:Q=5>vΘ"9>8ZLQ~ڟ32n/qH֛Fֱj4 ]QK`S[{ L/Xwot뷗3w<;궝O}va|~pr\^J'C1$ Gk8XifN?5z1 ktwMt(tq(Ouɶtg?pB|EqHLjhK^Sj:r0d'q-5Z{`qq6pXP !s3YC +x832܃ +oё7+gcZvevͥdyVsB>kڪn -aے.z7.>5J0bPQ'׿+3HsKX4!f,،_G0hQ!zo1%p\'].fjCC2lsPwy3]¢ϖK: +HQֹqixOAZ̵~nidg\+p(gw~{T^[`<8U"!:N]$bSSt\"o~^zd`,d+ !)3>n]Yӯ-M}z͌悫kcbs>:}UMUq=_pm ')ye +%M +3uqbc0 X60LaLj![+&'P?# iR-F*Mc\>u#߹l:,rwjI,zΘ"Ƀ1E>뿄ȵ?#`KHőrE/։BሌLMUیmyTԾؔc*vR2 MYW)Oyb<'|&=+\|jވQiY#2ӗwYQ ˮjdfEd%K`9ͦ{9' /Nw>*axV(Uc g2f + 3N̑}!hl}_xHbubˇxAg._ZwؤeS:&4‹5}7.~e}]V]1nw+;չM:7Xudp*^8t=n[t&۷[1$&3G:knݿ/|p]יB? l>$CHFN v=DY=g7Nc'|ӆ9}nwI~ڸe;;,$d ]0<>7#)mq/dmq ^ĝd080jץ!q(ћBOY,F$D,vi= sݺ&ǚy; pgW*7[ K +W_2zGuRX4K +w1a;~%bLlqh}r:v{&6|+5U̖KsQt~tþ G+kB&? ÷i.|f ^8!(DNdӶCRۜ] a0&jH)gUmo~Ҳ"XlҬ G>'Ҧc+:G:˾: y'Cg5{۞o~us*9{ucN ?aTR|Q[IS8$w-&nCrJyqjV8_lpyzh\lۛ=lXRJQe=a@ܢOe׿bQ0Yh騩&2ס.8?M[/}dko9W=BnA,LwD N 5g>\φ{=R{I}oAkkwɣ_t8guCth6[,Q&9Q'vU\>s3>CgD#4V14`&Z^bEǞ>_ҁFI <1?Diݢ/6qT+uiw^iZL}7>c";G慛cׯᲕkvo=z @цϣHPb>O?]Gtuݍ-< u_tDgLI=K߰Ҕ?b̐iI/ xǺmI#J /*ϰōQٿ\<:?vÞlh'&of'ix|^!\4wn8 +wv>.턉Hv&;]R>GS/ q-+D=OldKzا>x߭|W/ts`mq)#]]x++hhiDžQuz_ޕW2{D= 7B_NLSh?%eEGĚ6^ `1jL1EEڐd#' +)FO;Vҋ>ѓ_)xoB|to2V +o?hzx!ȝ0 e=i# ;6fa51$}n,KSԧZLw9 AGUdb5)j&ZB;Z^]5mSBZ&df zaҪ׬&S A9)#k+5(<~O |+n {H ыAEn=K5Bd|qa/fY'0d5/6;Dx;v-z|ɪ3F<>axOJ2 HH~zk.LJQmQQ0LBIt(ȜI,*߾YL:(ݤ+a-[haBJ7l%q <= +o.j2;_pXF՞ܰ;;]LxRs3IizeZb̓jeRLg~cx;}Lɂ?ftߩ%]!] `36#O XE+E،L: v ؄tx2,s,D;tM=# j-=_^Z;bu46ڈm/TۅEu-cv@&$r ,T$mujAp^`mGPڢlBu.;ߓ\s#%2kUll<ՆbSl5?E'%Ϸя`Nd9n9?~?sA |^WXּCm?_SM)?-Uc|/Qkz-C]9UasHW q])W?;QIt+$& h֤_MNkoMNi&i/M&h&'491M?4&_i&_hrTi&դO4&j&cMGQ5@59{;A5&5yK75&oh&49kd&j&4٫˚MvkK4yQ4١vMiҫI&&[5&5y^M<ɳ<ӚF<ɯ4٠ɓ ǧpc?q|G9>x{c8=a8s8r±c//qͱc'G7DbTc;6^c+rlxcsr<4o86r)_qlx 9x9s< /9ฟ>uk9帇c wqt&NBt'jUwp丝6[9nXq3M7rzeq,X±c/8rtp,1Zk8rshh9Z89891c&U388{]1cG-Gc*8WpLQQQQQQ(1c,98F7K!1c7Z +QG>Orr B͑D!n^g"cGZ\ +e)I q1NaY8Q&#Cϡ9o= 3= ){@ҷt= cO{@= / {@:jHgH_S{@lHҟ#{@= }hHt޳wmA[P-(m Jö-(i J7lAu[P:d JmA5[P:` JmAU[PzlAi-(l J/ق[Pm JlAi-(lAE[Pzv؂v[Pf Jcmk,m6K6KjiYz,=km6KO[Xff)k+k,=im6K[Ǭңfi}tPt`ti]t6C7C-tKw[%G +-LY",L^,x&R78Q|2qkOL*ƭC?8݊Xm>! \hvmMjk޶&mK+=L +bJՊ}kf( +f\UCtOC e'_k 466~i Y];geuvvRV.d_/?;;;:;:gueuveuj{A,,2 @0dLg!d: NA!w_[t2}L' qt 2222}L_@osW>LLBO ӟ!ǐO#G!d2@ ӻ6d=d: ނLoBA7 d:^L ~*dz2L{!ː%ȴ2L NL/B ȴ2mL2)i+d-d L sY dz22mLOA_A I8dz 2= +LC! d%dz2L Zt/d2LݐNȴ2Lw@vtd2 nL7BJrȴ 2]B% 2uBE2-L!> +endobj + +593 0 obj +<< + /Type /Font + /Subtype /CIDFontType0 + /BaseFont /ABWJFM+NewCMMath-Bold + /CIDSystemInfo << + /Registry (Adobe) + /Ordering (Identity) + /Supplement 0 + >> + /FontDescriptor 595 0 R + /DW 0 + /W [0 0 280 1 1 950 2 2 894 3 3 575] +>> +endobj + +594 0 obj +<< + /Length 9 + /Filter /FlateDecode +>> +stream +x +endstream +endobj + +595 0 obj +<< + /Type /FontDescriptor + /FontName /ABWJFM+NewCMMath-Bold + /Flags 131076 + /FontBBox [43 0 1027 686] + /ItalicAngle 0 + /Ascent 806 + /Descent -194 + /CapHeight 683 + /StemV 168.6 + /CIDSet 594 0 R + /FontFile3 597 0 R +>> +endobj + +596 0 obj +<< + /Length 651 + /Type /CMap + /WMode 0 +>> +stream +%!PS-Adobe-3.0 Resource-CMap +%%DocumentNeededResources: procset CIDInit +%%IncludeResource: procset CIDInit +%%BeginResource: CMap Custom +%%Title: (Custom Adobe Identity 0) +%%Version: 1 +%%EndComments +/CIDInit /ProcSet findresource begin +12 dict begin +begincmap +/CIDSystemInfo 3 dict dup begin + /Registry (Adobe) def + /Ordering (Identity) def + /Supplement 0 def +end def +/CMapName /Custom def +/CMapVersion 1 def +/CMapType 0 def +/WMode 0 def +1 begincodespacerange +<0000> +endcodespacerange +3 beginbfchar +<0001> +<0002> <2212> +<0003> <0031> +endbfchar +endcmap +CMapName currentdict /CMap defineresource pop +end +end +%%EndResource +%%EOF +endstream +endobj + +597 0 obj +<< + /Length 672 + /Filter /FlateDecode + /Subtype /CIDFontType0C +>> +stream +x%]HSaߣ8v^.wE64$5U^p< z8?}vÍ%QƭN$18Ny^g$)vtfo;{%?pr7/BeBe5ځJ+"^ +=ͤsKLE1Sa$|<0X<%LU1# +!DJެ+%-'"]}@{ԥ<{69y G@@ aMd* +>X: MC`",Y&LY ~23I2aA >^b_zt Va; +-a XwnqG +d YuG_H6.kV*'">OfSPvsǠiQN~idtTC(G4TufD~;@)Or5t<_gcFaBoA]+ExL +lq3[c +endstream +endobj + +598 0 obj +[/ICCBased 599 0 R] +endobj + +599 0 obj +<< + /Length 258 + /N 1 + /Range [0 1] + /Filter /FlateDecode +>> +stream +xuJPFOUvDD@`]\ +FMkIRB|&إnऋ(HrTų9` ըa&ʺ:l +3Ŭ*ުnh)&C|>b纝黓AvCƫ+ y') +̵8+/> + /F 4 + /StructParent 0 + /Contents (Email ytshih@cs.nycu.edu.tw) +>> +endobj + +617 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 568 0 R + /f2 574 0 R + /f3 580 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 1 + /Tabs /S + /Parent 1 0 R + /Contents 618 0 R + /Annots [616 0 R] +>> +endobj + +618 0 obj +<< + /Length 5516 + /Filter /FlateDecode +>> +stream +x]sǍ~߿b'9PUTJRq*WJ_EO.U/gfۘech_"3  /p͛w Ë/ow/mի^ǷË{{W۟zw7?×x np8xK2 ͻ͋7nxn 6/n݀n]\?m7I'~ g?w+o~#RJ,arCx5 M6N8hK,{pgp7W/7/^xs7W/ʐR6č=q+fL9C4)5I|[ۗڛf.Cپ10:g0__}~<|!Ai(\ эxzYBBAHLONWC0+݈j-f̑探aUY:Hܥ??'GZ5~sh_ ؖNM.r^2Gߚ4ayAXGb&H[¢2! c0BC=}e79Π{F0_1##Mݧc ;ѤicZ3]虓O_>@ūaw|{擃 Ձ^Qӽz;Q2~AGӆAܶkM(h.O7~?g|v5tV>MуWzU)"Dt%rD嬫9S:>Kx{IÜaf#dlFm'6C@F@Tc!j Bѻ_4MD)#o5RdGx+MTG!G_(:8 WA-b,h  s?k?[ UЯA&&3%ДDcC-afhF)ց^-Tu 5uwE;Xh|3Goύo>"=7 'C0 .r 3D +RpʮDL'1sџ]ٱهZ4\>+EO'x^|>6Cf@,JQ5pv.MKmTH4o*b’\盻]5 `,* +#e]uZP'WL{.Gk^#a-_ .B)4Ð0$[JLy>y!cG w€@MSjVzMKZ݉T#0%P&~%PPޚ0Smk"[)CFJAnAPt8yAj#ECX"ZgDs@[Ej>[sY(.'gu=x*S9]6XU*@i*@wg>ٗ_%CN'|që8oՆ?me6nyuUkR]FU]I̸$K$ۨ=^wIL%[i%DpyD#˓ +`FVʍ(lAFr焺ny#%wO( 1 vFm q2 XB ~g$wi N _ v tHL\_w E=q*sgǠUm)Cb6 `?tb3= CF0T]CC^d2b.(z` j6Nʨ6m[A]Ⱦ T/)r|T@dSL*Yiᔧ e k$)L~kAl%e j fXT,Ai遁gVHe7rr.?En ~:Dj ԉ rC9p֚"=]àF!.AFHe$x^",2"GtX$$VtEy3M4-P/O E"j%ɄzMO4L*HFeNVe:V[a=(RAXc=(RaXȴT.We^VT#3S'ݎ)*: +2{vp;?_2hd柙O9/NV +4ur<̌:9ouE;@\$$O.N/yEn=YYB!2D3}r ş4L@~JP& jˠ\Z"/RSk`pը[tOTu+ ㉀J2t1%ZG +k )gGɋ +Hu ѿ|P jNh )ACvFà:^u Zs +Rf +`t>_MɄЌF_2MCjxB݊48??.HB.y +{y{\H J@tH&4N2'tB ":s!1ɄP/ b%CCCN0AF:>BI=Ļ'(wK@24x%4D vJIƌ  &; div +. 0t ZG`3I>69 g7:APC` 1\K@Pc# ZuLe9 5LL*NAg8,X4jrcUC j2nYr\'*8qTàG24qEFrfTܦT|LbS,zg&c pp,j$:!u[:Cw AGF ;=;EPM "xz @Tĵ'"їL-X24z"j[l$S@j[ltV t[ DX +y%5=AyH@nP,x2P͑|Bha#$P7jLEX<_2k&(.Ux6`D韈Vx9卡܍A4ԧAn1n1ԫg;#RMb?R +N gM箵ٟLɟTϚKH [%X!8{= ŴnFaN?/Hf n{Dp-p~VHLT]d cNft"҅k%ItIA,) M"ĵTHE6)``|8@.dfݸ,|꧇H6c?(8;#)q݉?uF8N2g AXJ QuVu=/ťcrx^4uQ2'B;xRsN4ο'_qyRfQ%A=ys DⓟQHnU=;__3z %m"y!spDvBᢇHoޕ=k&(wV߄&VI&,"y.?YES_-;o[>JkXc;o[HA?mƮYd`f!R?z,DZEB~j]K;vkE\bHCo1yXdo +t*Y0X0A=-Ba;Gs#@sbs *H`.D\dIs +Ve(O E "VZXy"mı`K`nG2_]m?K[` v2 "k)Ub #]R +b%PkɉE +1LDz+NHA"D~+z5Xùb;> [*(W >.,[kdW=C@ưU,?El!ױ"#2'/^D-hAE- 0 YI[ Λ`TM +ȥl&}9/riw6`_\  U@e\F.#a&]}TǕ:lfXfJOJ/qd GX&JORT7*( @ E _TE35@KVуSE,lVHq5EՓ&!|RnC}&ȝ=̵^DZ k 5/wZ1̵ta[ϵ1΃#T$] CkP5lxm%iE\J֏@"5j^hϰuk |*n`bwNcw݆|B.X1u-boD+syg+r]_kDk-՚"յh@"ӵ֍xsͧN 7y> z|RGi|%s(sb?TXlX3mzW駇Rfb_2Gf߼_|oo_?^o?_]o?N AXF΀Sj:o +endstream +endobj + +619 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 580 0 R + /f2 574 0 R + /f3 568 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 2 + /Parent 1 0 R + /Contents 620 0 R +>> +endobj + +620 0 obj +<< + /Length 2791 + /Filter /FlateDecode +>> +stream +x]ێ }ܭV*0` +hl?dQy TZ mi/C6zx{ͳtͳ=pS PS#b:\=~xv{xx}N<.ׯ_ "~H+rZNW;]|}:BA[/I6? Ӄ~|җ|>v_=~tz: kd1jggXx3L\NEXfEӢy`G+Eu+b]Ԡ.(( TՄg ī#)!vmŻ@|7 ݽ9;B!k2^= +;U[T͓@g> je_Eg7:`_'ZGxySבtYۛ߃ޠ {}9{G +=||fxU^VBK~{}ZBQXZZm(s(l)!ryC]x +]amqQ?yj Ժ(kAX(.̚ ܲ [)I|fǣU.Զ4 E]mmf{#F~U Y\o\0֢ruFK]y0U&]dıV(0ÀuJy +չ¹R|kVwZ~Q f,@[;Wɐ`2@ucAS@pT7$,NQ @>⌿ + ["(PXPܻpaP +$  toEAe{g# # n~:Ў%헿XXF⟍Dq?30B`EDk`U(="\ J/q yJA9U]b),vbPMu&U㲳u(. +Xdw(7tj+z²WTk[ҳU_̸ +2'Z!0 ,תp\겦Y`Bx],Mu]ʦd +²T^mx=P| K-"bQ +LiJG@(aL.fD^(#NC(Jpe~ǡS +74= +7q4YV˦aL3AM\> SBoi@XDt 5;Q3d!VFcpY5\Dj;.-K16'Yh.&4s2lx Ne8ka.2_-h`#A\ zp%U@k\pc\pɾ0C0Ds6$?Q]&h.&JIA<)m-Dg. FF?I-$ #M1Dx. FwJFuy0:|mQʋwY0A(v(A|J$50Q)y.FYw[6,y~탥ƋH"1:wkN}t"i=oٻ^}p9 +{͕oQhTiFZ[WtcϿ뻻ׯ>|^5vdI?x +endstream +endobj + +621 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 574 0 R + /f2 580 0 R + /f3 568 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 3 + /Parent 1 0 R + /Contents 622 0 R +>> +endobj + +622 0 obj +<< + /Length 8974 + /Filter /FlateDecode +>> +stream +x]$9q>E-R~FD&|߀.2PuwU+e(K`e{g*%Rz~o~8Gwӫ<<~{ի7zwz/݇_7o?>g_ם;ٓ=}NJ:eGQ<}ǻW_?}wݫ~ٯ]^ʗWy xyM߇o'O~.<}M)N,{yrt+%Ƹ/￿f7׿_ܽOo/XH]||*IH@q1(!;_"__ê-GVu/_zk_Zp|y|Y7nHױpFUٿ)*ަ._uD_s,<秵O,ןf ףֿ<}s/tqo9Esc޷"+~%ƅ)Q4~r]?/o<>g/_z{ٓ<Hѯ?D⇲8'}ȰKxT5%='Sd#r<&$5LkbV 4`Ayk G'|Ghl{H\{t[@#!{=z1|{ t#ABڣqB[y56ILY <+ΐc0G5$ +c1!U{B0y- +S2YzLJCsQl f`n' rlq<1rlq0rl)NIj?vӺ8zr]zDA>Xh^r>|ۢ;g0~q9~}_~mz~ H#z@& 25(~IDzC <劤COބ<{ h! G Hc0@_ivEPZQ#_>mG4t:u']~\qaWc`Ɔ,SyL07דc=9~thΩqic@߁tz@ؐNٲs8۴3Z3g?$ĈEgIʄ!Т7׮H-&Yȏ#ZR#5Ep.UH᪈ܡ#վS#:R<򉎒)^iX r8rlG mtuVXaYz2t'H`\d U Q$0&SRd SRQ/V 83L  ]aPR(COX XR%mJ0+@XE:3=ȃJj&QaȔs&1Fʹg +Oh8|}UbCUbCUpHňNRa 8~i `̗ - ouHK#X HFՆCJV1 =1 '"H F܌b< +VaNkHa uI8FokT&d8C6=3(Bd8)1cA9A*1 +8~Jv(cU(8%hi RVYZE2D(ZZE2GZZ"#bHUKk(*vLG5ul rs!^1@P2Ml'1KX2Sy%O_xlc2Bl)A kc)\%}G)/atԏ$jJRkgUsLb(3Usꈙ! ӱX`N't$ u +Cp=/:E%- zr19%^A^$=xA\6t=A $tCduiK`eX!dGFHRpj:^.Q6=Τ@5 s~Ѳ;{ӗwSs0ɞp3n ;ˇ56G;`jvM QJh$,$kV?l\n'{Rz!y2}*ߠho;v7(=[/quG3u7>hfnDeG3q뷁LhmPކG o_Dl>I[_{HH[/AњB;ˤ-kjwr6n9yL6P޴0¦D5N _ BVH?Aӊ`l9)T j&cjPP^Mmc"e 'zCaEֲ56 U;9dj!lDFX>/T-%U#Z;8gdxKXh^bM De=j!j!rG%Q)U +vu*.EKY?-=W{qs,mlr]QPf)7 +֖db1\ٕV7&~qs?[L}옰 +ϊ%*I@Xg #S`9 α9Fdfpdks‰upnu .w&R`A8fsw{!9&S (W*ģpR@`o<'[ ^;Fo^;Bh^}r2^\G_v.e4ܮX \Zvl.f-%V e[@Ka]ҲX 2k1#g2| ӝKJ6A"'R;P>C2ABlB,PjGl>vĵSR s!(#&X3]YGU(pbq:@j$ωn5Pjsb([ axT91φqӃZ> + A:Qd52+j>фdqCAd ZDb} +)6a=_V4xh|y -j&/; o}̯r5!i]6=GՁbE6K}p="p;>Y; +S(|IP?55A 5A_oJvR\ʗ +!S?Y@߂ ycz !itzگ;5Ɓlܯ;-;#t1Y ȃE_ JEaF蚡 4|<BjG0t )9Fq0B9Ť@PGI;zzF]!c N b&FȽ"Hch ȇ!PaGQ +yQ3<ŽJ4Nʽ[APbǖMرJ\+{T/^LH:@^py %5AP6(A]"3<A) +Ԭ =oЃUB FjzU@+f5r/䍅Q <Og6vj6ICUb +My T0<: X:r&kO&֑,C{gr7e(1U z903qݚjACy'Q6la mY<70TqZvoei_PQ5Y\/O1C)fo81TO1-d)d\e}A  +8Ш3:W(7DUS\s/k|e OW5?Ƈ4hwnb\K#mY!mvf(A[ dvs'kR PͻbJ~C2?25 ۛOOHBZ9T Ȭc8\r}6*!-)9A$U/6K^ɓ7%H+F8grdp.EG@ϛ%RboTƅ@Tf8IdK}(@WLUeS]ˬ+Ѕ`KЅQ {\.1EE+Ⱦ߷yMg4 4͸ȈɾMae ַl7ӦΉ`qքvNL"q5뜞U:OZ&'UҔź '㨇4y7g$eun !jjGR HI*jޥII_Oɝyoܹ]+YR?9CX-٫`e`SެA&[-ګA<=eߒ DU`3eMHG3K*}^Mp3<‰; s˙ܾ)4t0B6I\AM tJcqFX;'ߕ٬ʱ'KC2MA_&~dQ(*J5`{hM^'իb18 +,.l{@dGgiZj@1v{m5lR.t.ܔ 80?eF (2Odm m\*kB'@R^dK틛Z\%Go^<%B̓Y]U]5UtEU2|!]c^\/cKIAKoZ5T@S uqgqM+#̫- r + _pE.c5XՐBO??0C1[^)@;\^CPo9ٝV.fnRDs;ۈqn +ĥ bxr'd$NJ$N#W$NC(Ir(Л8 @ݜen +-CH)Ti[X +-oաxnN2}nen.ʹ9uRsKN -9FPTuӳ3]SD>5qKV5qKb~jjCp+ӳN:%| 2#ӋFZ]^\_͛7-oؓCmɚ=.7+*.PYZQ͐q UR)x-L5⽆ +ƺA$PW6M AuC_l^(FU 7=Yo.n ҍdXʨnWvU "ρE&(0!N%'ke 33B D=l|8[ڔ{N͋as6OSXE ZS:SHʿ/@h{(p; @}#2dU@SEyC~t\ָL`rHv+SC;"BjM"H8حt]?qgBJǯDJ$D;hr;B" +\؏byk[T+C&!tjƎ*\yͪ^2 3r܂iJl)flJ&Gސ*LSQU +)*y*ϫVuo_\&5T:=5 +lG נZ;:L&LKP& +r.)\IZp")WJ-!A Hٴ +\")ZVN THڇZB x%.k Z}-$ܾpUdײ:=ē%Rsd[eOc)Hj w#9 HýDRp/Tꗖp')>pi*dӶ.&3:k(Dw#0_."Ҙ +bx +"61)P @܌_L n@5KhݑȔq/zeKU2E{APT#v1b6BRRƪ ޛSb0ATi WyEWdA  1L#^5`Y+@ؔpL^bfk"ix]9{tywk +C5?,dYZ0`Èklh!3l&6)IPdScxq 1j GXb㝱 Xdヱɫ@'#dO*dE6{wG'Tf~T 'PC.KZ?"LÀzx%MѪRد5GO(Uc{#Rx}RZHO]]_^~HJ]*}us?+PWDSX_Om2շ(-BMpR EuJ>oy"drp +uJY Ey⢺8pI A}Q]Ԍ CP`TסR8JG *ى_Uqx6Z׷G(ΰR=ρ$L ۦ.?@qvqHW֡'7}f * cXWàǯ=!W5n9P8M$6JAy~'A > + /Font << + /f0 562 0 R + /f1 580 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 4 + /Parent 1 0 R + /Contents 624 0 R +>> +endobj + +624 0 obj +<< + /Length 603 + /Filter /FlateDecode +>> +stream +xV]k0}ׯc A+ɖ"(&[T{ؿqDre_{8'JfՔK^Sֿit26KH,vT?WmiV]K`~  TK$Rd^bK!kZamfmnV꿦l.$Zksrp;X[\q&%OP|#An$ߔ `9ȅ4yjsWbm j҄3.KA߁ħXт,hm]/,NΆ fOls37Y.R\ HU.~uRϒ8Y'B8 +ZvCs/Vd%p$2輚Q<2"UZMֶY\S>-lg#l?@{">9E#E&D|iI)Α=DlRlZ#͸:(zLoTԣ/s&>"9SDi?Z)sODP!FΘn>wyۈ +ge3&bS% +endstream +endobj + +625 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 574 0 R + /f2 580 0 R + /f3 568 0 R + /f4 586 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 5 + /Parent 1 0 R + /Contents 626 0 R +>> +endobj + +626 0 obj +<< + /Length 8434 + /Filter /FlateDecode +>> +stream +x]m$qbdɒ֎X/|  wRk$gg{vYCv;6eOC>;^|͟/G__x{x/o_򣗧߼{~ï~3<9 Û^q7s?yww݋;;<._^~wOv}+? ߇ӿן<}]?| Cs,Gnoο^p/Փvwy/{ޝ{/X#8@2pX(bj *0B :u^i Cb8۳=O 07R F=uBMM dmhy Ҿ5 +P}!.ЎB(hfzo@qc U`(D:MR |Lj( ̻LDhPD\hvԻG +U;DRa@W$Hu퓲@yIXozt`T֡hv׻} ;Va\{UۇUۯYipgdVaJr0W يC.hVU{}8Ȏ }HQ@|Q@B+dQa֓hq]w%z\lrZdijn%_K|.= ;Dw7 o:ް/t\+taO~G ML..>(sJv4'GrGS(ۚ9R^1ʝ|Hv3ɭE٧uI\gA<"3D z-cʀZ.4L+ O}ZQ;˼.b @H​mi_GH,nJi[7u\N2n JA۠ʖ`| :&p mnB JsC="DdS7Rx{4j] \5&oȀ>9|>9ސowAgrcS[tNl@]'-AOZ5(UPrFO6.DWvZjEDzz/쀀国 ^~7!z/ {Æ ;T= zGZ\?p ; j/lÛ;4IR=Aqk?ﯥPL *U]\IL?|%ee8ԧ{Z.\Bo~vmf$[I"MwW<'wߨmp? \k4xkwצi{͔"T]5D9#{kQ3SW'Xk.kh8qݧg oe@$Sb 'ev4#debqá}}(X )9|MYwC:mq,y54`l2ƵCȧA"&sZC[M7 +PLfLy9Uuv'A E0TsieK]2nfGWAtaX\GPuekc6مr`O֝((֣&:"?]\-/gX"]ʊPNl3x^[= +ů7OХO߾j P.5z zeWonN\SոkCϧ H!Yq83TZ\q~™Gzr{1rwww e/e@wxsA2ocLs\/ ? 2g\!GcBѮ~nͷwcnlݟjT8/DpTҢr-e/3^ѓ]"1;pe놙M$-icj\|pX2>[[m{fc +B.(Qj}d]p []n+^( 6W vbհN^A>>z*I8O^[K[ȶ U-C9nznM ͮ}\}O]gYԌK"?{XDR5Ly>Z@郏oۂfAB=L#.3r'3c/y2_&'0mX5I u=kvs._=U_ݧ`Mgd3 &zE$ O>; 3Br䆬ZmUkkqh#4?*NҰ-~Rp1%>kM˫B_PӾ+ c悞Q]8" O18#ĩu?e!Nb}e>Y|ɥЋJ.š}d<C)#|b<9 +H[ bAbrps]Kbe̓mᓟKPy{i~ړ^6^Z#q~>>h?azIH@ 9D zR +סlֆ^7~q>^#;`07u*8n0t$3 a0S77#x)}lNf%Ԫh4e1'Z[̴;ͯsPw6#hpx{pu U:P"󹍰jcyj3 C< |Pm/m +He58lV|s%Jf/T|""]xgM=#M="*u>H/WcfсLFBHR9kT y_Sk  b6'w(H`0'&ᝉ@ a' "$),7% #3cᩕ0 _G'ŦQ-Ƈ qòyBYtfW0afV K"sAGHR L >\{Rk%q{SjU>bԢ|T>>1N]#R7Q>0GZs,]-G z|J@(7/2C5(G}⁹+`E*} ػj4J.AQEY蓻NWu1="+(2w8Ti1e>sW+D1:LLI$*ju&.['0IZ^wŠ_\TcF Xb9U챎3%]% )w ,I-e!B`Rq9/5OZc/XY+Ex9t2"ExJ eyex8^Hj~OZH +jQ\,kYRHQY!I}ZAvŠE~v0^`جgc?f=l֗-16/ד*nݯ'U>׷C7cR;RH(S(<84ד*lMNԭp@(T-R(`v{@bA('L `_?8A0Z 3UJll?U>A SuPX)^ѩ' ŏztjLjFq7 , K#ZH@ϕ+J @GrO=F,Tā!Dw!tP`]⒵1FJ^ʞ '0, ZXt_nGܩ,v4Bu)蠫$;.[GhUTpjRDO֕Mή`)uMza037UDulRQl#]{T~܄`!5ě*,h7UZ4oʅ&[3s (E_7"SJjzAr9v|F,4nlmF*4n.Hum.UBJB+!G}b9uQJ58,B=&+Dh䙑n+M3!Ӊ]zB]sfB`ӅBw뷢o;kϪhB6Cx6"P.B ˪XiBnXU+Mhߍcb jemTKG·vIu *SJYU)M6ւU҄mLR&4oxj&$Vz oѹ )Un4͑"YUXH?9P*4GhB6"H]ogIݝ~@Yh$tƪgswG#}0h1wNn UOrc)0 2Aƽl;!J~$IZn\V%?#[+L.7rY \l.ꠁ8hs1* ]C.UQJ UUpDw`( nH?1+$ӅWo#rq(r)XUR?%,\F+{j0 H=*1ھTd4X1 i:5nh:&BTyRÉ e؎^ +%04PG#tI=쵈R*EC' 6] 8u`;CfZ7o-dU46E)Mp snU4$&0 +I oo#h}"0QD4|#jnB=HB`FuI l_iGC_P `uQ) +rKB֭[J9..0WS2aLKw`cXE)Wq'[kRѯ,.9%BqW`H@<ӯv7'Oh`;~x>̨')7أ#c̐H;705A(b +=@z`Tϩa@)dy2A"af\x)2Z125?D' (]J9>L@D`e~Fʠф8]3r.Cf@LHӦW?i +fdg(eÄ^W s2h`.o M[+D_4 +6~ho.Y&j|F`ޟ@S9gT>9ȟ @+3ψ|Z`sU>#'y  e} K|\](1?]Eh;x;YF*jI׶h\oBq%mh\ ^v^ LD㒸[s9`}WĥtOzثq=Bt@\&#@[2UϸnE`_{U3Yoؾ$T>q#sQJ}K-`1 +Ffb_74Yoy#뜽jhX7;TQS@e*;*"n&XTMq}0qIUn&UQľD&-8r( +;aC) ?ڡ96{Gcn5kؤj~8I>9U{A0*flR5?3SE?{!j~䴫/MG@b3,MZxJfh MV +~=x)e +GC]&TяM>,<` +\Y.))u s{8>xxOop݋_}w/?/Ëˏ^?~7߿S\WJk6n +endstream +endobj + +627 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 574 0 R + /f2 580 0 R + /f3 568 0 R + /f4 592 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 6 + /Parent 1 0 R + /Contents 628 0 R +>> +endobj + +628 0 obj +<< + /Length 2208 + /Filter /FlateDecode +>> +stream +x\ߓ ~_$jp$@df&vI;L;[]X^ԇve {&EkK{Ƚafӽx˯7ts^oۇժ?~}ڼ_/{ͫ3.l"B-En..oLwtݬ/W ӭw[ݽ|Y]kckcpJ W?\yzn;˻aCJ)q n2hA, 8$=|7-V[|Zs?Zë~ނAbB2 mV`nj➙48GщZN0LXۇ7D w}?M68 cXsqjNnh{6 8 j=Gw$&AЏmҞCxAntdyq"l \Oizk)]ֿ߯vݮE?01]o6;~5s#.k'gܕ8s,(րc} PQ H +hB HQ jLm0́C~@yO|(cy0Q`xϊğ1RhOVb` +KD_jo4E?_<"am&ڎvT!L0 Xvcz ^">R93PbY:ECD*BD| #1b +{i>3،ọ$( Zo zX/ ޢ-LZ0战 .e0G_'&]Lɂ \5bNئy8ZEc4f8s4Slkٟ$gՠZt 8Ղ|!AkQ8ivCxIT.^]>/}ح!z>dB%Б*dR)$MHgϬ3B ') +ILבFP[fN鄋'So\S=oX]K^(O&H1:Y"Ljൎ E[zDЦy_b=;e ͗+Y>6T xVEQIJyh명RΞ&!Z<&o1j"8_> !?z:{ݐ^ЗGķE%"!Ev@X)bFmmM;NIMQ`1WaOJQg%(FYr}&keʋ +@S +X ж؂ GW->iD޻^4!(oK!{(jkĪu``7A,Ja}(_{F x-yZ$ǀ3_6@(@fM@/D@| `y~YF𾼵\|N05v;Vvyf 1@(֚O j^QDyTH>0b%_ @C$bڵXxo8gs> + /Font << + /f0 562 0 R + /f1 574 0 R + /f2 580 0 R + /f3 568 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 7 + /Parent 1 0 R + /Contents 630 0 R +>> +endobj + +630 0 obj +<< + /Length 5295 + /Filter /FlateDecode +>> +stream +x]ߓq~߿b✵Jݍ)G$;r)o{Xg|̫} +Crmf"FpM_]u}}{s[~~Oﺛ}wgϺ}y+Lg3E$@nޚퟯLW/nLwthǫo6Ƽ6w{ݫݽݫ߽Ms|~_w_{H)%\k2dCx!fuvxeܻ'Ou~۫7/n^to^o;#X!bO] 8X,X;{Sk0Pw-`|=,etfN7&Gw#w7q3ǩ;lAصFn4ޟ- %kCl_SmouG_h_/KL0:9HΊqQn~tO^??sg:a!]w]yC~(!.)"` )Oqlӆ!8Y06b%['8}OZ}/6D8#`H5]` J`Zz IDM;i<st.@,Cu}iа8\FP _hrPuC1F#dR>sRC>R`J`B8c:C1')m#O)K K syRJ MKl0-!x!5( ,:vKLGJ6  rXLQ P P LlǔeQL ܟOe&W& ]L;@\ Ly8b iek!`0)j4B:5)R-QԖK$Jl#xӢymxg!b4St:S|M7deO(M}&|]N3b}ڵ0'%(GzL$ݓwץ1BŞb6ksi~KQmq_wȴ&~3 +_¡׸QbGJo\kATC.c}u`!-JbN1At{S)P5-Xbs#Zj%Α$Ɓ m {fs 2Đ0V =[p$zَcSR9aӢTxG8WGz?Opłs-Q9jޜ4GR <"O6"8W$Ԕrh@83L4@FEqf@`N?|9 _A y2e`]P |D̹}X-c"g 2iVpA7hՋ @ mˤٷj Bj3³Cc$6tUɤ9,κ }u7 +z珡@ 83`Â)ΧgPECc5 +EX@K!(qN +k33IcHeҸ7Dz j@Y+c bf`Dh|-ʔ5SXl@+t2cڟa9ϛubbcb&`2au@n0 k1ͯ"`*^RÐtҖPd`gg'9[L윯9krnBwea/<AG>5un.RN;nQ-JTTy4mZR閸(r)5TRlQl碇@iA,+ͪ)vE[E[EYj*r>:)Jt*v3X Dz䯶#To- +޲mȟCoN9**ތ/J@ֺ͔u90? Ϙ!#FY-oTx@ ,J߫>syA13$ckv mjS%>O.bvP5Ç4?ޑ^p(e-u-{:U,`K KV+/VRC,CГ>w] +w_ Z@vw]T,m:.Vb[* ]#:"ױ&t(j\sIlNَxo);Qc{@ȁWi VᎼu$pG^ H@Pc=`v~0\=V;Gx%WC80ѧݠg e-zJWoNb\G0 ںɠTRaQ(>A 0K Q-0bt,E,jsj *;>CPTxlM٫?:s;Ψa_K +٧{il=3n{Mz +iGx_@/+ 5S"<{ nHg7B9@q }q\k"Ý)ǪC;rScjQT!Ykld8m!8Hh:߯E!?SE(SE s7?^TgAZHZTweyA]!NQ枕P#RgmfW uYQNт[TPaQl8d'\yQ{ <7DH ॼM|ioOS?,$&4GQYS^H̹.:X4{&&K`2Č㹊N֪ϑ:\lj;Jc*]ugm NG7N)]'uEjNw@/fQu3Wv?e_ |HE/kpdCf~~V rbnOL:g:ˎ Mi_$ycenBjil|:k(,M=RaQ1;F'fkq!yz=ǓW'?Cϩl,06OtgNR0C\.gꫡpwǦ}%EIsYߠEUsԦY51`s PMֶZâ1@b7ՃЪYT6#9H[A-`Qیo3' -0^eQی`S \lo@jdXv WU1uw [(s״QhAӢB١6L,*scIy8-j1L5´wLٻ6$jP33{& 'Z:A>v #ɘr>Ud20hGRNFc,QlacS1ZBe.v-=Bre !eO =8j|QM +!BЩ9Z!K 7/O32WK(NΙa>r$F@rňM09] 8>|s(.4_2&祥P?ŇÏw_fu7mnÃx e99ڬR +endstream +endobj + +631 0 obj +<< + /Type /Page + /Resources << + /ProcSet [/PDF /Text /ImageC /ImageB] + /ColorSpace << + /c0 598 0 R + >> + /Font << + /f0 562 0 R + /f1 580 0 R + /f2 568 0 R + /f3 574 0 R + >> + >> + /MediaBox [0 0 595.2756 841.8898] + /StructParents 8 + /Parent 1 0 R + /Contents 632 0 R +>> +endobj + +632 0 obj +<< + /Length 3136 + /Filter /FlateDecode +>> +stream +x]Q ~ׯXa Isi;u[cĹNJ#W/Z[:A#Գ~wz0<{~}}o{v[o?.򧟯.p_78 Oq.3f ͳ7nx ڜ_lpq n\7}s{pzgqz|=^WOpwx6#C|Vg@lqzq7/mAPy/~lU/gH4B(`x5E$lnq/j.bt05"`pg_r 9a}-2ey ƀL =4dfpk=9X#3ڥ[s晇x/ "04Y6}Pvz!8/^m6|M pN)nNzTBJkF.^W_WI76V`AYI_[Sm,zaW7< X-[WސMH[XKȿ"{EĴwΚ!0U mxı>|`ջ2 QYR}Kdnś%ս$^u1ɃskT@N[U/2 3$ׁ8d r`J2yA(`e*r~o~fTD'ЃPGdA<xD'VYs~;!8Z+ \ڤ[+z&ZCGxmҗzb uSM/5O>3 ΞmH 4%p-# +CXC#!, $p=6 PCjnp'6}C׮%'h:A +#R7V1'=7]G0!8B`8P,i xYnDBҽ3xY]IWK dAL +1n piv9Y߿]L[ÎW +b\aBjj0N͘RP?1ۇ_>:[ϓGyD~8WpD.0W/&+ +x"E !P$Շ \ՓGV2/#D4Dbt;0{&3%`u!LQN!]&JN!=9 nEY?%oi uyI,c_݌mz|IyٕW+ܹQGo85|T WlT[ru()j@p03+(V 03 ߶ML& +p&Fl&62\7,̞,U:W>(.CUSkFyF5ndN,㺥=\1C;`QW|ʺ kdjl# U kE8S;˹r!Yj6L5ȯYY8m Axn6sƚ޵$לrB<$}-Yoz]QLG +'Aʆ)F*vFXq'6ƪ_ ŌꙷC<4T˫^)PjHC`o*RYso`M%n%V++ItgCݗrޖ=)ܺy/_ 2 +|1S ˄v~8#$HqI\S9/~ӂsv RN44Zx;(<3jU0@fB KԪ`R@:(!tf<#3µ @$S/ nPRq:3b6/"Q1zaD~4T+ff8>lfܤffNgZHL: 3j'qZb6&FW`)%ot +Y-*.GuLY92T˃LZݣyOg 1ygX5'̄E7=$٥ ۅ:]ӅzR$z7k._`V3>GP]\F9>7l&Ȁ xͻEP/r8oVl8P ^.zn%Y/B\ +rY ;luIzv)n"DA##.MWery>!ؔR&O@j1v4J6^С^\NI@/ #c5Ia0lJ,#U@P/HB+!Y#gD>;ze lM/Ўr? },xhfVq~LSPnQFW?Yrb#8pn~h~'`DPT]j.u&aXfy f6hݝ> +endobj + +634 0 obj +<< + /Length 996 + /Type /Metadata + /Subtype /XML +>> +stream +Typst 0.14.2en2026-04-17T14:26:38+08:002026-04-17T14:26:38+08:008application/pdf2uepAViwBX4Z1uY5fvIIyQ==2uepAViwBX4Z1uY5fvIIyQ==proof1.7 +endstream +endobj + +635 0 obj +<< + /Type /Catalog + /Pages 1 0 R + /Metadata 634 0 R + /PageLabels 19 0 R + /Lang (en) + /StructTreeRoot 20 0 R + /MarkInfo << + /Marked true + /Suspects false + >> + /ViewerPreferences << + /Direction /L2R + >> + /Outlines 2 0 R +>> +endobj + +xref +0 636 +0000000000 65535 f +0000000016 00000 n +0000000138 00000 n +0000000219 00000 n +0000000391 00000 n +0000000487 00000 n +0000000575 00000 n +0000000743 00000 n +0000000855 00000 n +0000000983 00000 n +0000001073 00000 n +0000001249 00000 n +0000001384 00000 n +0000001510 00000 n +0000001630 00000 n +0000001795 00000 n +0000001925 00000 n +0000002046 00000 n +0000002173 00000 n +0000002266 00000 n +0000002379 00000 n +0000002681 00000 n +0000005780 00000 n +0000007487 00000 n +0000013146 00000 n +0000013205 00000 n +0000018072 00000 n +0000019019 00000 n +0000021738 00000 n +0000023073 00000 n +0000024049 00000 n +0000024163 00000 n +0000024256 00000 n +0000024349 00000 n +0000024603 00000 n +0000024691 00000 n +0000024798 00000 n +0000024900 00000 n +0000025114 00000 n +0000025207 00000 n +0000025284 00000 n +0000025377 00000 n +0000025592 00000 n +0000025691 00000 n +0000025872 00000 n +0000026053 00000 n +0000026234 00000 n +0000026415 00000 n +0000026514 00000 n +0000026695 00000 n +0000026876 00000 n +0000027057 00000 n +0000027238 00000 n +0000027337 00000 n +0000027518 00000 n +0000027699 00000 n +0000027880 00000 n +0000028061 00000 n +0000028160 00000 n +0000028341 00000 n +0000028522 00000 n +0000028703 00000 n +0000028884 00000 n +0000028983 00000 n +0000029164 00000 n +0000029345 00000 n +0000029525 00000 n +0000029705 00000 n +0000029804 00000 n +0000029984 00000 n +0000030164 00000 n +0000030344 00000 n +0000030524 00000 n +0000030623 00000 n +0000030803 00000 n +0000030983 00000 n +0000031163 00000 n +0000031343 00000 n +0000031442 00000 n +0000031622 00000 n +0000031802 00000 n +0000031982 00000 n +0000032162 00000 n +0000032261 00000 n +0000032431 00000 n +0000032527 00000 n +0000032697 00000 n +0000032793 00000 n +0000032963 00000 n +0000033059 00000 n +0000033239 00000 n +0000033608 00000 n +0000033685 00000 n +0000033778 00000 n +0000033904 00000 n +0000034006 00000 n +0000034220 00000 n +0000034313 00000 n +0000034390 00000 n +0000034483 00000 n +0000034707 00000 n +0000034811 00000 n +0000034994 00000 n +0000035177 00000 n +0000035360 00000 n +0000035543 00000 n +0000035647 00000 n +0000035830 00000 n +0000036013 00000 n +0000036196 00000 n +0000036379 00000 n +0000036483 00000 n +0000036666 00000 n +0000036849 00000 n +0000037032 00000 n +0000037215 00000 n +0000037319 00000 n +0000037502 00000 n +0000037685 00000 n +0000037868 00000 n +0000038051 00000 n +0000038155 00000 n +0000038338 00000 n +0000038521 00000 n +0000038704 00000 n +0000038887 00000 n +0000038991 00000 n +0000039174 00000 n +0000039357 00000 n +0000039540 00000 n +0000039723 00000 n +0000039827 00000 n +0000040010 00000 n +0000040193 00000 n +0000040376 00000 n +0000040559 00000 n +0000040663 00000 n +0000040846 00000 n +0000041029 00000 n +0000041212 00000 n +0000041395 00000 n +0000041499 00000 n +0000041672 00000 n +0000041772 00000 n +0000041945 00000 n +0000042045 00000 n +0000042218 00000 n +0000042318 00000 n +0000042501 00000 n +0000042606 00000 n +0000042750 00000 n +0000042845 00000 n +0000043280 00000 n +0000043359 00000 n +0000043454 00000 n +0000043575 00000 n +0000043664 00000 n +0000043814 00000 n +0000043903 00000 n +0000044009 00000 n +0000044165 00000 n +0000044257 00000 n +0000044346 00000 n +0000044464 00000 n +0000044592 00000 n +0000044704 00000 n +0000044796 00000 n +0000044885 00000 n +0000045003 00000 n +0000045135 00000 n +0000045247 00000 n +0000045339 00000 n +0000045428 00000 n +0000045674 00000 n +0000045770 00000 n +0000045864 00000 n +0000046014 00000 n +0000046103 00000 n +0000046218 00000 n +0000046337 00000 n +0000046444 00000 n +0000046535 00000 n +0000046624 00000 n +0000046739 00000 n +0000046861 00000 n +0000046968 00000 n +0000047059 00000 n +0000047148 00000 n +0000047263 00000 n +0000047385 00000 n +0000047492 00000 n +0000047583 00000 n +0000047662 00000 n +0000047756 00000 n +0000047900 00000 n +0000048120 00000 n +0000048207 00000 n +0000048342 00000 n +0000048443 00000 n +0000048555 00000 n +0000048659 00000 n +0000048823 00000 n +0000048917 00000 n +0000049016 00000 n +0000049147 00000 n +0000049289 00000 n +0000049378 00000 n +0000049493 00000 n +0000049603 00000 n +0000049710 00000 n +0000049801 00000 n +0000049890 00000 n +0000049994 00000 n +0000050092 00000 n +0000050183 00000 n +0000050262 00000 n +0000050356 00000 n +0000050455 00000 n +0000050565 00000 n +0000050715 00000 n +0000050804 00000 n +0000050927 00000 n +0000051025 00000 n +0000051123 00000 n +0000051233 00000 n +0000051324 00000 n +0000051413 00000 n +0000051525 00000 n +0000051635 00000 n +0000051736 00000 n +0000051827 00000 n +0000051916 00000 n +0000052028 00000 n +0000052123 00000 n +0000052224 00000 n +0000052314 00000 n +0000052409 00000 n +0000052502 00000 n +0000052588 00000 n +0000052685 00000 n +0000052778 00000 n +0000052875 00000 n +0000052969 00000 n +0000053102 00000 n +0000053457 00000 n +0000053536 00000 n +0000053631 00000 n +0000053805 00000 n +0000053894 00000 n +0000053978 00000 n +0000054170 00000 n +0000054262 00000 n +0000054351 00000 n +0000054435 00000 n +0000054639 00000 n +0000054731 00000 n +0000054820 00000 n +0000054904 00000 n +0000055116 00000 n +0000055208 00000 n +0000055297 00000 n +0000055381 00000 n +0000055605 00000 n +0000055697 00000 n +0000055786 00000 n +0000055870 00000 n +0000056094 00000 n +0000056186 00000 n +0000056275 00000 n +0000056359 00000 n +0000056535 00000 n +0000056627 00000 n +0000056706 00000 n +0000056801 00000 n +0000056967 00000 n +0000057056 00000 n +0000057182 00000 n +0000057314 00000 n +0000057446 00000 n +0000057610 00000 n +0000057702 00000 n +0000057791 00000 n +0000057917 00000 n +0000058049 00000 n +0000058181 00000 n +0000058345 00000 n +0000058437 00000 n +0000058526 00000 n +0000058652 00000 n +0000058784 00000 n +0000058916 00000 n +0000059080 00000 n +0000059172 00000 n +0000059261 00000 n +0000059387 00000 n +0000059507 00000 n +0000059639 00000 n +0000059795 00000 n +0000059887 00000 n +0000059976 00000 n +0000060102 00000 n +0000060290 00000 n +0000060470 00000 n +0000060606 00000 n +0000060698 00000 n +0000060777 00000 n +0000060872 00000 n +0000061081 00000 n +0000061186 00000 n +0000061369 00000 n +0000061552 00000 n +0000061735 00000 n +0000061918 00000 n +0000062023 00000 n +0000062206 00000 n +0000062389 00000 n +0000062572 00000 n +0000062755 00000 n +0000062860 00000 n +0000063043 00000 n +0000063226 00000 n +0000063409 00000 n +0000063592 00000 n +0000063697 00000 n +0000063880 00000 n +0000064063 00000 n +0000064246 00000 n +0000064429 00000 n +0000064534 00000 n +0000064717 00000 n +0000064900 00000 n +0000065083 00000 n +0000065266 00000 n +0000065371 00000 n +0000065554 00000 n +0000065737 00000 n +0000065920 00000 n +0000066103 00000 n +0000066208 00000 n +0000066391 00000 n +0000066574 00000 n +0000066757 00000 n +0000066940 00000 n +0000067019 00000 n +0000067114 00000 n +0000067240 00000 n +0000067470 00000 n +0000067560 00000 n +0000067650 00000 n +0000067740 00000 n +0000067830 00000 n +0000067903 00000 n +0000067993 00000 n +0000068083 00000 n +0000068173 00000 n +0000068263 00000 n +0000068353 00000 n +0000068426 00000 n +0000068516 00000 n +0000068606 00000 n +0000068685 00000 n +0000068780 00000 n +0000068930 00000 n +0000069019 00000 n +0000069133 00000 n +0000069229 00000 n +0000069329 00000 n +0000069421 00000 n +0000069510 00000 n +0000069623 00000 n +0000069725 00000 n +0000069823 00000 n +0000069914 00000 n +0000070003 00000 n +0000070115 00000 n +0000070210 00000 n +0000070308 00000 n +0000070399 00000 n +0000070487 00000 n +0000070636 00000 n +0000071021 00000 n +0000071108 00000 n +0000071240 00000 n +0000071339 00000 n +0000071435 00000 n +0000071585 00000 n +0000071674 00000 n +0000071812 00000 n +0000071924 00000 n +0000072032 00000 n +0000072148 00000 n +0000072248 00000 n +0000072340 00000 n +0000072429 00000 n +0000072567 00000 n +0000072679 00000 n +0000072787 00000 n +0000072903 00000 n +0000073003 00000 n +0000073095 00000 n +0000073184 00000 n +0000073322 00000 n +0000073426 00000 n +0000073546 00000 n +0000073666 00000 n +0000073766 00000 n +0000073858 00000 n +0000073947 00000 n +0000074055 00000 n +0000074302 00000 n +0000074381 00000 n +0000074476 00000 n +0000074565 00000 n +0000074697 00000 n +0000074960 00000 n +0000075039 00000 n +0000075134 00000 n +0000075284 00000 n +0000075373 00000 n +0000075457 00000 n +0000075741 00000 n +0000075833 00000 n +0000075922 00000 n +0000076006 00000 n +0000076266 00000 n +0000076358 00000 n +0000076447 00000 n +0000076531 00000 n +0000076731 00000 n +0000076823 00000 n +0000076902 00000 n +0000076997 00000 n +0000077380 00000 n +0000077469 00000 n +0000077566 00000 n +0000077758 00000 n +0000077855 00000 n +0000077950 00000 n +0000078092 00000 n +0000078181 00000 n +0000078283 00000 n +0000078451 00000 n +0000078543 00000 n +0000078632 00000 n +0000078734 00000 n +0000078898 00000 n +0000078990 00000 n +0000079079 00000 n +0000079158 00000 n +0000079253 00000 n +0000079656 00000 n +0000079745 00000 n +0000079854 00000 n +0000080030 00000 n +0000080202 00000 n +0000080291 00000 n +0000080441 00000 n +0000080530 00000 n +0000080632 00000 n +0000080788 00000 n +0000080880 00000 n +0000080969 00000 n +0000081071 00000 n +0000081227 00000 n +0000081319 00000 n +0000081408 00000 n +0000081510 00000 n +0000081666 00000 n +0000081758 00000 n +0000081847 00000 n +0000081926 00000 n +0000082021 00000 n +0000082171 00000 n +0000082260 00000 n +0000082344 00000 n +0000082560 00000 n +0000082652 00000 n +0000082741 00000 n +0000082825 00000 n +0000083037 00000 n +0000083128 00000 n +0000083217 00000 n +0000083301 00000 n +0000083489 00000 n +0000083580 00000 n +0000083659 00000 n +0000083753 00000 n +0000083882 00000 n +0000084177 00000 n +0000084264 00000 n +0000084391 00000 n +0000084488 00000 n +0000084583 00000 n +0000084914 00000 n +0000085020 00000 n +0000085178 00000 n +0000085267 00000 n +0000085351 00000 n +0000085675 00000 n +0000085767 00000 n +0000085856 00000 n +0000085940 00000 n +0000086163 00000 n +0000086254 00000 n +0000086343 00000 n +0000086427 00000 n +0000086615 00000 n +0000086706 00000 n +0000086795 00000 n +0000086879 00000 n +0000087034 00000 n +0000087124 00000 n +0000087203 00000 n +0000087298 00000 n +0000087597 00000 n +0000087686 00000 n +0000087783 00000 n +0000087955 00000 n +0000088246 00000 n +0000088335 00000 n +0000088452 00000 n +0000088547 00000 n +0000088695 00000 n +0000088790 00000 n +0000089081 00000 n +0000089170 00000 n +0000089279 00000 n +0000089423 00000 n +0000089579 00000 n +0000089700 00000 n +0000089852 00000 n +0000089964 00000 n +0000090059 00000 n +0000090378 00000 n +0000090467 00000 n +0000090588 00000 n +0000090720 00000 n +0000090856 00000 n +0000090968 00000 n +0000091086 00000 n +0000091223 00000 n +0000091330 00000 n +0000091424 00000 n +0000091648 00000 n +0000091727 00000 n +0000091821 00000 n +0000091934 00000 n +0000092194 00000 n +0000092281 00000 n +0000092427 00000 n +0000092508 00000 n +0000092598 00000 n +0000092798 00000 n +0000092943 00000 n +0000093085 00000 n +0000093144 00000 n +0000093203 00000 n +0000093262 00000 n +0000093321 00000 n +0000093380 00000 n +0000093439 00000 n +0000093498 00000 n +0000093557 00000 n +0000093742 00000 n +0000094622 00000 n +0000094713 00000 n +0000094969 00000 n +0000096643 00000 n +0000104494 00000 n +0000104676 00000 n +0000105427 00000 n +0000105518 00000 n +0000105772 00000 n +0000107196 00000 n +0000113274 00000 n +0000113438 00000 n +0000114177 00000 n +0000114268 00000 n +0000114516 00000 n +0000115894 00000 n +0000123924 00000 n +0000124100 00000 n +0000124830 00000 n +0000124921 00000 n +0000125168 00000 n +0000126798 00000 n +0000134919 00000 n +0000135078 00000 n +0000135340 00000 n +0000135432 00000 n +0000135704 00000 n +0000136980 00000 n +0000147335 00000 n +0000147511 00000 n +0000147772 00000 n +0000147858 00000 n +0000148103 00000 n +0000148835 00000 n +0000149612 00000 n +0000149650 00000 n +0000150009 00000 n +0000150062 00000 n +0000150115 00000 n +0000150168 00000 n +0000150221 00000 n +0000150274 00000 n +0000150327 00000 n +0000150380 00000 n +0000150434 00000 n +0000150485 00000 n +0000150538 00000 n +0000150591 00000 n +0000150644 00000 n +0000150698 00000 n +0000150752 00000 n +0000150805 00000 n +0000150858 00000 n +0000151129 00000 n +0000151488 00000 n +0000157084 00000 n +0000157412 00000 n +0000160283 00000 n +0000160611 00000 n +0000169665 00000 n +0000169957 00000 n +0000170639 00000 n +0000170985 00000 n +0000179499 00000 n +0000179845 00000 n +0000182133 00000 n +0000182461 00000 n +0000187836 00000 n +0000188164 00000 n +0000191380 00000 n +0000191507 00000 n +0000192593 00000 n +trailer +<< + /Size 636 + /Root 635 0 R + /Info 633 0 R + /ID [(2uepAViwBX4Z1uY5fvIIyQ==) (2uepAViwBX4Z1uY5fvIIyQ==)] +>> +startxref +192852 +%%EOF \ No newline at end of file diff --git a/docs/main.typ b/docs/main.typ new file mode 100644 index 0000000..681ed2e --- /dev/null +++ b/docs/main.typ @@ -0,0 +1,288 @@ +#import "template/module.typ": * + +#show: default.with( + title: "Numerical Methods Assignment 2", +) + += Gaussian Elimination with Partial Pivoting (15%) + +Solve the following system by Gaussian elimination with partial pivoting: +$ mat(4, 2, -2, -1; 0, 4, 1, 2; 3, -2, 1, 2; 2, 0, 3, -5) vec(x_1, x_2, x_3, x_4) = vec(7, 10, 2, 3) $ + +== Solution Process + +*Initial augmented matrix:* +$ mat(augment: #4, 4, 2, -2, -1, 7; 0, 4, 1, 2, 10; 3, -2, 1, 2, 2; 2, 0, 3, -5, 3) $ + +*Step 1 - Column 1:* The pivot element is $a_(11) = 4$. Checking column 1: $|4| >= |0|, |3|, |2|$. No row interchange needed. + +Multipliers: $m_(21) = 0$, $m_(31) = 3/4 = 0.75$, $m_(41) = 2/4 = 0.5$ + +After elimination: +$ mat(augment: #4, 4, 2, -2, -1, 7; 0, 4, 1, 2, 10; 0, -3.5, 2.5, 2.75, -3.25; 0, -1, 4, -4.5, -0.5) $ + +*Step 2 - Column 2:* The pivot element is $a_(22) = 4$. Checking: $|4| >= |-3.5|, |-1|$. No row interchange needed. + +Multipliers: $m_(32) = -3.5/4 = -0.875$, $m_(42) = -1/4 = -0.25$ + +After elimination: +$ mat(augment: #4, 4, 2, -2, -1, 7; 0, 4, 1, 2, 10; 0, 0, 3.375, 4.5, 5.5; 0, 0, 4.25, -4, 2) $ + +*Step 3 - Column 3:* Checking: $|3.375| < |4.25|$. *Row interchange required: swap row 3 with row 4.* + +After interchange: +$ mat(augment: #4, 4, 2, -2, -1, 7; 0, 4, 1, 2, 10; 0, 0, 4.25, -4, 2; 0, 0, 3.375, 4.5, 5.5) $ + +Multiplier: $m_(43) = 3.375/4.25 = 0.7941$ + +After elimination: +$ mat(augment: #4, 4, 2, -2, -1, 7; 0, 4, 1, 2, 10; 0, 0, 4.25, -4, 2; 0, 0, 0, 7.6765, 3.9118) $ + +*Back substitution:* +- $x_4 = 3.9118 / 7.6765 = 0.509579$ +- $x_3 = (2 - (-4)(0.509579)) / 4.25 = 0.950192$ +- $x_2 = (10 - (1)(0.950192) - (2)(0.509579)) / 4 = 2.007663$ +- $x_1 = (7 - (2)(2.007663) - (-2)(0.950192) - (-1)(0.509579)) / 4 = 1.348659$ + +== Solution +$ x_1 = 1.348659, quad x_2 = 2.007663, quad x_3 = 0.950192, quad x_4 = 0.509579 $ + +*Column requiring row interchange:* Column 3 + +#pagebreak() + += Scaled Partial Pivoting (25%) + +Solve the system using scaled partial pivoting: +$ mat(4.13, -2.20, 0.95, 3.02; 6.14, 4.45, -1.45, -4.02; 1.03, 1.86, 0.44, 5.22) $ + +== Part (a): Six Significant Digits + +*Scale factors:* +- $s_1 = max(|4.13|, |-2.20|, |0.95|) = 4.13$ +- $s_2 = max(|6.14|, |4.45|, |-1.45|) = 6.14$ +- $s_3 = max(|1.03|, |1.86|, |0.44|) = 1.86$ + +*Step 1 - Column 1:* + +Scaled ratios: +- Row 1: $|4.13|/4.13 = 1.000$ +- Row 2: $|6.14|/6.14 = 1.000$ +- Row 3: $|1.03|/1.86 = 0.554$ + +Rows 1 and 2 are tied; keep current order. + +Multipliers: $m_(21) = 6.14/4.13 = 1.48668$, $m_(31) = 1.03/4.13 = 0.249395$ + +After elimination: +$ mat(augment: #3, 4.13, -2.20, 0.95, 3.02; 0, 7.7207, -2.86235, -8.50977; 0, 2.40867, 0.203075, 4.46683) $ + +*Step 2 - Column 2:* + +Scaled ratios: +- Row 2: $|7.7207|/6.14 = 1.257$ +- Row 3: $|2.40867|/1.86 = 1.295$ + +Row 3 has larger ratio. *Interchange rows 2 and 3.* + +Multiplier: $m_(22) = 7.7207/2.40867 = 3.20538$ + +After elimination: +$ mat(augment: #3, 4.13, -2.20, 0.95, 3.02; 0, 2.40867, 0.203075, 4.46683; 0, 0, -3.51328, -22.8277) $ + +*Back substitution:* +- $x_3 = -22.8277 / (-3.51328) = 6.49755$ +- $x_2 = (4.46683 - 0.203075 times 6.49755) / 2.40867 = 1.30667$ +- $x_1 = (3.02 - 0.95 times 6.49755 - (-2.20) times 1.30667) / 4.13 = -0.0673$ + +*Solution (6 significant digits):* +$ x_1 = -0.0673, quad x_2 = 1.3067, quad x_3 = 6.4976 $ + +== Part (b): Three Significant Digits + +Following the same process with 3-digit arithmetic: + +*Solution (3 significant digits):* +$ x_1 = -0.0688, quad x_2 = 1.31, quad x_3 = 6.51 $ + +== Comparison + +The solutions are close but show small differences due to rounding errors: +- $x_1$: $-0.0673$ vs $-0.0688$ (difference $approx 2%$) +- $x_2$: $1.3067$ vs $1.31$ (difference $approx 0.3%$) +- $x_3$: $6.4976$ vs $6.51$ (difference $approx 0.2%$) + +The solution with 3 significant digits is slightly different but still reasonable. The accumulated rounding errors affect $x_1$ the most since it is computed last in back substitution. + +#pagebreak() + += Symmetric Tridiagonal System (30%) + +The system: +$ mat(4, -1, 0, 0, 0, 0; -1, 4, -1, 0, 0, 0; 0, -1, 4, -1, 0, 0; 0, 0, -1, 4, -1, 0; 0, 0, 0, -1, 4, -1; 0, 0, 0, 0, -1, 4) vec(x_1, x_2, x_3, x_4, x_5, x_6) = vec(100, 200, 200, 200, 200, 100) $ + +== Part (a): Algorithm for Symmetric Tridiagonal System + +For a symmetric tridiagonal matrix, we only need to store: +- $d_i$: diagonal elements ($n$ elements) +- $a_i$: off-diagonal elements ($n-1$ elements, same above and below diagonal) +- $b_i$: right-hand side ($n$ elements) + +*Algorithm (Modified Thomas Algorithm for Symmetric Case):* + +``` +// Input: d[1..n] (diagonal), a[1..n-1] (off-diagonal), b[1..n] (RHS) +// Output: x[1..n] (solution) + +// Forward Elimination +for i = 2 to n: + m = a[i-1] / d[i-1] + d[i] = d[i] - m * a[i-1] + b[i] = b[i] - m * b[i-1] + +// Back Substitution +x[n] = b[n] / d[n] +for i = n-1 downto 1: + x[i] = (b[i] - a[i] * x[i+1]) / d[i] +``` + +== Part (b): Solving the System + +*Initial compact representation:* +#align(center)[ + #table( + columns: 4, + [Row], [Sub-diagonal], [Diagonal], [RHS], + [1], [-], [4], [100], + [2], [-1], [4], [200], + [3], [-1], [4], [200], + [4], [-1], [4], [200], + [5], [-1], [4], [200], + [6], [-1], [4], [100], + ) +] + +*Forward Elimination:* +- Step 1: $m = -1/4 = -0.25$, $d'_2 = 4 - (-0.25)(-1) = 3.75$, $b'_2 = 200 - (-0.25)(100) = 225$ +- Step 2: $m = -1/3.75 = -0.2667$, $d'_3 = 3.7333$, $b'_3 = 260$ +- Step 3: $m = -1/3.7333 = -0.2679$, $d'_4 = 3.7321$, $b'_4 = 269.64$ +- Step 4: $m = -1/3.7321 = -0.2679$, $d'_5 = 3.7321$, $b'_5 = 272.25$ +- Step 5: $m = -1/3.7321 = -0.2679$, $d'_6 = 3.7321$, $b'_6 = 172.95$ + +*Back Substitution:* +- $x_6 = 172.95/3.7321 = 46.34$ +- $x_5 = (272.25 - (-1)(46.34))/3.7321 = 85.37$ +- $x_4 = (269.64 - (-1)(85.37))/3.7321 = 95.12$ +- $x_3 = (260 - (-1)(95.12))/3.7333 = 95.12$ +- $x_2 = (225 - (-1)(95.12))/3.75 = 85.37$ +- $x_1 = (100 - (-1)(85.37))/4 = 46.34$ + +*Solution:* +$ x_1 = 46.34, quad x_2 = 85.37, quad x_3 = 95.12, quad x_4 = 95.12, quad x_5 = 85.37, quad x_6 = 46.34 $ + +== Part (c): Arithmetic Operations Count + +For a system of $N$ equations: + +*Forward Elimination (loop runs $N-1$ times):* +- $N-1$ divisions (computing $m$) +- $N-1$ multiplications (computing $m dot a_(i-1)$) +- $2(N-1)$ subtractions (updating $d_i$ and $b_i$) + +Total: $4(N-1)$ operations + +*Back Substitution:* +- 1 division (computing $x_N$) +- For $i = N-1$ down to 1: 1 multiplication + 1 subtraction + 1 division = $3(N-1)$ operations + +Total: $1 + 3(N-1) = 3N - 2$ operations + +*Total operations:* $4(N-1) + 3N - 2 = 7N - 6 = O(N)$ + +This is much more efficient than general Gaussian elimination which requires $O(N^3)$ operations. + +#pagebreak() + += Jacobi and Gauss-Seidel Methods (40%) + +Original system: +$ mat(7, -3, 4; -3, 2, 6; 2, 5, 3) vec(x_1, x_2, x_3) = vec(6, 2, -5) $ + +== Checking and Rearranging for Diagonal Dominance + +*Original matrix diagonal dominance check:* +- Row 1: $|7| = 7$, $|-3| + |4| = 7$ (equal, not strictly dominant) +- Row 2: $|2| = 2$, $|-3| + |6| = 9$ (NOT dominant) +- Row 3: $|3| = 3$, $|2| + |5| = 7$ (NOT dominant) + +*Rearrangement:* Swap equations 2 and 3: +$ mat(7, -3, 4; 2, 5, 3; -3, 2, 6) vec(x_1, x_2, x_3) = vec(6, -5, 2) $ + +After rearrangement: +- Row 1: $|7| = 7$, $|-3| + |4| = 7$ (weakly dominant) +- Row 2: $|5| = 5$, $|2| + |3| = 5$ (weakly dominant) +- Row 3: $|6| = 6 > |-3| + |2| = 5$ (strictly dominant) + +The system is weakly diagonally dominant. The methods may still converge. + +== Part (a): Jacobi Method + +*Iteration formulas:* +$ x_1^((k+1)) &= (6 + 3x_2^((k)) - 4x_3^((k))) / 7 \ +x_2^((k+1)) &= (-5 - 2x_1^((k)) - 3x_3^((k))) / 5 \ +x_3^((k+1)) &= (2 + 3x_1^((k)) - 2x_2^((k))) / 6 $ + +*Starting vector:* $bold(x)^((0)) = [0, 0, 0]^T$ + +#align(center)[ + #table( + columns: 4, + [Iteration], [$x_1$], [$x_2$], [$x_3$], + [0], [0], [0], [0], + [1], [0.8571], [-1.0000], [0.3333], + [2], [0.2381], [-1.5429], [1.0952], + [3], [-0.4299], [-1.7524], [0.9667], + [4], [-0.4463], [-1.4080], [0.7025], + [5], [-0.1477], [-1.2430], [0.5795], + [...], [...], [...], [...], + [37], [-0.1433], [-1.3746], [0.7199], + ) +] + +*Jacobi converged after 37 iterations.* + +*Solution:* $x_1 = -0.1433, quad x_2 = -1.3746, quad x_3 = 0.7199$ + +== Part (b): Gauss-Seidel Method + +*Iteration formulas (using most recent values):* +$ x_1^((k+1)) &= (6 + 3x_2^((k)) - 4x_3^((k))) / 7 \ +x_2^((k+1)) &= (-5 - 2x_1^((k+1)) - 3x_3^((k))) / 5 \ +x_3^((k+1)) &= (2 + 3x_1^((k+1)) - 2x_2^((k+1))) / 6 $ + +#align(center)[ + #table( + columns: 4, + [Iteration], [$x_1$], [$x_2$], [$x_3$], + [0], [0], [0], [0], + [1], [0.8571], [-1.3429], [1.2095], + [2], [-0.4095], [-1.5619], [0.6492], + [3], [-0.1832], [-1.3162], [0.6805], + [4], [-0.0958], [-1.3700], [0.7421], + [5], [-0.1540], [-1.3836], [0.7175], + [...], [...], [...], [...], + [16], [-0.1433], [-1.3746], [0.7199], + ) +] + +*Gauss-Seidel converged after 16 iterations.* + +*Solution:* $x_1 = -0.1433, quad x_2 = -1.3746, quad x_3 = 0.7199$ + +== Comparison + +Both methods converge to the same solution: +$ x_1 approx -0.143, quad x_2 approx -1.375, quad x_3 approx 0.720 $ + +Gauss-Seidel converged in *16 iterations*, while Jacobi required *37 iterations*. This is expected because Gauss-Seidel uses updated values immediately, leading to faster convergence. + diff --git a/docs/template b/docs/template new file mode 160000 index 0000000..78333a2 --- /dev/null +++ b/docs/template @@ -0,0 +1 @@ +Subproject commit 78333a2e6f12cc07ca86621ad084acd9c9eecfb5