#include <cstdio>

#include <cstring>

#include <cmath>

const int maxn = 15;

int n;

double a0[maxn], s0, t, sqr_s, geass[maxn][maxn], tem[maxn];

int main(void) {

	//freopen("in.txt", "r", stdin);

	scanf("%d", &n);

	for (int j = 1; j <= n; ++j) {

		scanf("%lf", a0 + j);

		s0 += a0[j] * a0[j];

	}

	for (int i = 1; i <= n; ++i) {

		sqr_s = 0;

		for (int j = 1; j <= n; ++j) {

			scanf("%lf", &t);

			geass[i][j] = (t - a0[j]) * 2;

			sqr_s += t * t;

		}

		geass[i][n + 1] = sqr_s - s0;

	}

	int p;

	double xs;

	for (int i = 1; i <= n; ++i) {

		p = i;

		for (int j = i + 1; j <= n; ++j) {

			if (fabs(geass[j][i]) > fabs(geass[p][i])) {

				p = j;

			}

		}

		if (p != i) {

			memcpy(tem, geass[p], sizeof tem);

			memcpy(geass[p], geass[i], sizeof tem);

			memcpy(geass[i], tem, sizeof tem);

		}

		for (int j = i + 1; j <= n; ++j) {

			xs = geass[j][i] / geass[i][i];

			for (int k = i; k <= n + 1; ++k) {

				geass[j][k] -= geass[i][k] * xs;

			}

		}

	}

	for (int i = n; i; --i) {

		geass[i][n + 1] /= geass[i][i];

		geass[i][i] = 1.0;

		for (int j = i - 1; j; --j) {

			geass[j][n + 1] -= geass[j][i] * geass[i][n + 1];

			geass[j][i] = 0.0;

		}

	}

	for (int i = 1; i < n; ++i) {

		printf("%.3f ", geass[i][n + 1]);

	}

	printf("%.3f\n", geass[n][n + 1]);

	return 0;

}