#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <iomanip>
#include <cmath>
#include <algorithm>
#include <vector>
#define vd  vector<double> 
#define vvd vector<vector<double> > 
#define ui unsigned int

using namespace std;

inline void print();
inline double sqr(const double& a) {
  return a * a;
}
inline double coeff(const double& a, const double& b, const double& c) {
  return a / sqrt(sqr(b) + sqr(c));
}

vd operator +(const vd& a, const vd& b) {
  vd ret = vd(a.size());
  for (int i = 0; i < a.size(); ++i)
    ret[i] = a[i] + b[i];
  return ret;
}

vd operator *(const vd& a, double d) {
  vd ret = vd(a.size());
  for (int i = 0; i < a.size(); ++i)
    ret[i] = a[i] * d;
  return ret;
}

int n;
vvd g;
vd ans;

inline void rotate(const int& ind) {
  for (int i = ind + 1; i < n; ++i) {
    double c = coeff(g[ind][ind], g[ind][ind], g[i][ind]);
    double s = coeff(g[i][ind], g[ind][ind], g[i][ind]);
    vd old_ind = g[ind];
    vd old_i = g[i];
    g[ind] = old_ind * c + old_i * s;
    g[i] = old_ind * (-s) + old_i * c;
  }
}

inline void triangle_solve() {
  int k = n - 1;
  ans.resize(n);
  for (int i = k; i >= 0; --i) {
    ans[i] = g[i][n] / g[i][i];
    for (int j = i - 1; j >= 0; --j) {
      g[j][n] -= ans[i] * g[j][i];
      g[j][i] = 0;
    }
  }

  cout << "solution:" << endl;
  for (int i = 0; i < n; ++i)
    cout << "x[" << i + 1 << "] " << setw(12) << fixed << setprecision(6) << ans[i] << endl;
}


int main(){
  //freopen("input.txt", "r", stdin);
  //freopen("output.txt", "w", stdout);
  cin >> n;
  g.resize(n, vd(n + 1));

  for (int i = 0; i < n; ++i) {
    for (int j = 0; j < n + 1; ++j) {
      cin >> g[i][j];
    }
  }

  print();

  for (int i = 0; i < n - 1; ++i) {
    rotate(i);
    print();
  }
  triangle_solve();
  return 0;
}

inline void print() {
  for (int i = 0; i < n; ++i) {
    cout << "( ";
    for (int j = 0; j < n; ++j)
      cout << setw(12) << fixed << setprecision(6) << g[i][j];
    cout << " ) " << fixed << setprecision(6) << g[i][n];
    cout << endl;
  }
  cout << endl;
}