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() {
  int n, m;
  cin >> n >> m;
  bool a[n][m], x[n], y[m];
  for (int i = 0; i < n; i++) {
    x[i] = 1;
    for (int j = 0; j < m; j++) {
      y[j] |= (i == 0);
      cin >> a[i][j];
      x[i] = (x[i] && a[i][j]);
      y[j] = (y[j] && a[i][j]);
    }
  }
  for (int i = 0; i < m; i++)
    if (y[i])
      break;
    else if (i == n - 1) {
      for (int j = 0; j < n; j++)
        if (x[j]) {
          cout << "NO";
          return 0;
        }
    }
  for (int i = 0; i < n; i++)
    if (x[i])
      break;
    else if (i == n - 1) {
      for (int j = 0; j < m; j++)
        if (y[j]) {
          cout << "NO";
          return 0;
        }
    }
  for (int i = 0; i < n; i++)
    for (int j = 0; j < m; j++)
      if (a[i][j] && a[i][j] != (x[i] || y[j])) {
        cout << "NO";
        return 0;
      }
  cout << "YES" << endl;
  for (int i = 0; i < n; i++) {
    if (x[i])
      for (int j = 0; j < m; j++) cout << y[j] << " ";
    else
      for (int j = 0; j < m; j++) cout << 0 << " ";
    cout << endl;
  }
  return 0;
}