#include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 105; const double eps = 1e-6; int n; double a[N][N]; int gauss() { int c, r; for (c = 1, r = 1; c <= n; c++) { // 找到绝对值最大的一行 int t = r; for (int i = r; i <= n; i++) { if (std::abs(a[i][c]) > std::abs(a[t][c])) t = i; } // 非零 if (std::abs(a[t][c]) < eps) continue; // 将该行移至顶部 for (int i = c; i <= n + 1; i++) { std::swap(a[t][i], a[r][i]); } // 将该行第一个非零的数变成 1 for (int i = n + 1; i >= c; i--) { a[r][i] /= a[r][c]; } // 将下方所有行的第 c 列变成 0 for (int i = r + 1; i <= n; i++) { if (std::abs(a[i][c]) > eps) { // 非零 for (int j = n + 1; j >= c; j--) { a[i][j] -= a[r][j] * a[i][c]; } } } r++; } if (r <= n) { for (int i = r; i <= n; i++) { if (std::abs(a[i][n + 1]) > eps) // 无解 return -1; } // 无穷多组解 return 1; } // 将系数矩阵化为对角矩阵 for (int i = n; i; i--) { for (int j = i + 1; j <= n; j++) { a[i][n + 1] -= a[i][j] * a[j][n + 1]; } } // 有解 return 0; } int main() { std::ios::sync_with_stdio(false); cin >> n; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n + 1; j++) { cin >> a[i][j]; } } int r = gauss(); if (r == 0) { for (int i = 1; i <= n; i++) { if (std::abs(a[i][n + 1]) < eps) a[i][n + 1] = 0; cout << std::fixed << std::setprecision(2) << a[i][n + 1] << endl; } } else if (r == 1) { cout << "Infinite group solutions" << endl; } else { // r == -1 cout << "No solution" << endl; } return 0; }