#include<cmath>

#include<cstdio>

#include<cstring>

#include<algorithm>

#define for1(i,a,n) for(int i=(a);i<=(n);++i)

#define for2(i,a,n) for(int i=(a);i<(n);++i)

#define for3(i,a,n) for(int i=(a);i>=(n);--i)

#define for4(i,a,n) for(int i=(a);i>(n);--i)

using namespace std;

double a[13][13],f[13];

int N;

inline double sqr(double x){return x*x;}

inline void swapp(double &d,double &b){double c=b;b=d;d=c;}

inline void gauss(){

    for1(i,1,N-1){

        int now=i;

        for1(j,i+1,N) if (fabs(a[now][i])<fabs(a[j][i])) now=j;

        for1(j,i,N+1) swapp(a[i][j],a[now][j]);

        for1(j,i+1,N){

            double chu=a[j][i]/a[i][i];

            for1(k,i,N+1) a[j][k]-=chu*a[i][k];

        }

    }

    for3(i,N,1){

        for1(j,i+1,N) a[i][N+1]-=a[i][j]*a[j][N+1];

        a[i][N+1]/=a[i][i];

    }

}

int main(){

    scanf("%d\n",&N);

    memset(a,0,sizeof(a));memset(f,0,sizeof(f));

    for1(i,1,N)scanf("%lf",&f[i]);

    for1(i,1,N)for1(j,1,N){

        double t; scanf("%lf",&t);

        a[i][j]=2*(t-f[j]);

        a[i][N+1]+=sqr(t)-sqr(f[j]);

    }gauss();

    for2(i,1,N) printf("%.3lf ",a[i][N+1]);

    printf("%.3lf\n",a[N][N+1]);

    return 0;

}