Problem: Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is 0. We can define logical OR of three or more logical values in the same manner:

<image> where <image> is equal to 1 if some ai = 1, otherwise it is equal to 0.

Nam has a matrix A consisting of m rows and n columns. The rows are numbered from 1 to m, columns are numbered from 1 to n. Element at row i (1 ≤ i ≤ m) and column j (1 ≤ j ≤ n) is denoted as Aij. All elements of A are either 0 or 1. From matrix A, Nam creates another matrix B of the same size using formula:

<image>.

(Bij is OR of all elements in row i and column j of matrix A)

Nam gives you matrix B and challenges you to guess matrix A. Although Nam is smart, he could probably make a mistake while calculating matrix B, since size of A can be large.

Input

The first line contains two integer m and n (1 ≤ m, n ≤ 100), number of rows and number of columns of matrices respectively.

The next m lines each contain n integers separated by spaces describing rows of matrix B (each element of B is either 0 or 1).

Output

In the first line, print "NO" if Nam has made a mistake when calculating B, otherwise print "YES". If the first line is "YES", then also print m rows consisting of n integers representing matrix A that can produce given matrix B. If there are several solutions print any one.

Examples

Input

2 2
1 0
0 0


Output

NO


Input

2 3
1 1 1
1 1 1


Output

YES
1 1 1
1 1 1


Input

2 3
0 1 0
1 1 1


Output

YES
0 0 0
0 1 0

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  long long n, m;
  cin >> m >> n;
  long long a[m][n], b[m][n], c[m][n];
  for (long long i = 0; i < m; ++i) {
    for (long long j = 0; j < n; ++j) {
      cin >> a[i][j];
      b[i][j] = 1;
      c[i][j] = 0;
    }
  }
  for (long long i = 0; i < m; ++i) {
    for (long long j = 0; j < n; ++j) {
      if (a[i][j] == 0) {
        for (long long z = 0; z < n; z++) {
          b[i][z] = 0;
        }
        for (long long k = 0; k < m; k++) {
          b[k][j] = 0;
        }
      }
    }
  }
  for (long long i = 0; i < m; ++i) {
    for (long long j = 0; j < n; ++j) {
      if (b[i][j]) {
        for (long long z = 0; z < n; z++) {
          c[i][z] = 1;
        }
        for (long long k = 0; k < m; k++) {
          c[k][j] = 1;
        }
      }
    }
  }
  for (long long i = 0; i < m; ++i) {
    for (long long j = 0; j < n; ++j) {
      if (c[i][j] != a[i][j]) {
        cout << "NO\n";
        return 0;
      }
    }
  }
  cout << "YES\n";
  for (long long i = 0; i < m; ++i) {
    for (long long j = 0; j < n; ++j) {
      cout << b[i][j] << " ";
    }
    cout << "\n";
  }
  return 0;
}