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LibreOJ/2619/2619.cpp
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56
LibreOJ/2619/2619.cpp
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#include <iostream>
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#include <algorithm>
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#include <cmath>
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#include <iomanip>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 15;
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const double eps = 1e-6;
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int n;
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double a[N][N], b[N][N];
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int main() {
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std::ios::sync_with_stdio(false);
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cin >> n;
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for (int i = 1; i <= n + 1; i++) {
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for (int j = 1; j <= n; j++) {
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cin >> a[i][j];
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}
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}
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for (int i = 1; i <= n; i++) {
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for (int j = 1; j <= n; j++) {
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b[i][j] = 2.0 * (a[i][j] - a[i + 1][j]);
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b[i][n + 1] += std::pow(a[i][j], 2) - std::pow(a[i + 1][j], 2);
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}
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}
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for (int i = 1; i <= n; i++) {
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for (int j = i; j <= n; j++) {
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if (std::abs(b[j][i]) > eps) {
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std::swap(b[i], b[j]);
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}
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}
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for (int j = 1; j <= n; j++) {
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if (i == j) continue;
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double x = b[j][i] / b[i][i];
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for (int k = i; k <= n + 1; k++) {
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b[j][k] -= b[i][k] * x;
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}
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}
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}
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for (int i = 1; i <= n; i++) {
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cout << std::fixed << std::setprecision(3) << b[i][n + 1] / b[i][i] << ' ';
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}
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cout << endl;
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return 0;
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}
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