#include<cstdio>
#include<algorithm>
#define Abs(x) (x) < 0 ? -(x) : (x)

using namespace std;

int n;
double a[12][11], fc[12][12];

void gaosi() {//高斯消元
	for (int i = 1; i <= n; i++) {
		int maxx = i;
		for (int j = i + 1; j <= n; j++)
			if (Abs(fc[j][i]) > Abs(fc[maxx][i]))
				maxx = j;
		for (int j = 1; j <= n + 1; j++)
			swap(fc[i][j], fc[maxx][j]);
		for (int j = 1; j <= n; j++)
			if (i != j)
				for (int k = i + 1; k <= n + 1; k++)
					fc[j][k] = fc[j][k] - (fc[i][k] * (fc[j][i] / fc[i][i]));
	}
}

int main() {
	scanf("%d", &n);//读入
	for (int i = 1; i <= n + 1; i++)
		for (int j = 1; j <= n; j++)
			scanf("%lf", &a[i][j]);//读入
	
	for (int i = 1; i <= n; i++)
		for (int j = 1; j <= n; j++) {//求出方程式
			fc[i][j] = 2 * (a[i][j] - a[i + 1][j]);
			fc[i][n + 1] += a[i][j] * a[i][j] - a[i + 1][j] * a[i + 1][j];
		}
	
	gaosi();//高斯消元
	
	for (int i = 1; i <= n; i++)
		printf("%.3lf ", fc[i][n + 1] / fc[i][i]);//输出
	
	return 0;
}

#include #include #define Abs(x) (x) < 0 ? -(x) : (x)

using namespace std;

int n; double a[12][11], fc[12][12];

void gaosi() {//高斯消元 for (int i = 1; i <= n; i++) { int maxx = i; for (int j = i + 1; j <= n; j++) if (Abs(fc[j][i]) > Abs(fc[maxx][i])) maxx = j; for (int j = 1; j <= n + 1; j++) swap(fc[i][j], fc[maxx][j]); for (int j = 1; j <= n; j++) if (i != j) for (int k = i + 1; k <= n + 1; k++) fc[j][k] = fc[j][k] - (fc[i][k] * (fc[j][i] / fc[i][i])); } }

int main() { scanf("%d", &n);//读入 for (int i = 1; i <= n + 1; i++) for (int j = 1; j <= n; j++) scanf("%lf", &a[i][j]);//读入

for (int i = 1; i <= n; i++)
	for (int j = 1; j <= n; j++) {//求出方程式
		fc[i][j] = 2 * (a[i][j] - a[i + 1][j]);
		fc[i][n + 1] += a[i][j] * a[i][j] - a[i + 1][j] * a[i + 1][j];
	}

gaosi();//高斯消元

for (int i = 1; i <= n; i++)
	printf("%.3lf ", fc[i][n + 1] / fc[i][i]);//输出

return 0;

}