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 m, n;
  cin >> m >> n;
  int arr[m][n];
  map<int, bool> row, column;
  vector<pair<int, int>> v;
  for (int i = 0; i < m; ++i) row[i] = 1;
  for (int i = 0; i < n; ++i) column[i] = 1;
  for (int i = 0; i < m; ++i) {
    for (int j = 0; j < n; ++j) {
      cin >> arr[i][j];
      if (arr[i][j] == 0) {
        row[i] = 0;
        column[j] = 0;
      } else
        v.push_back(make_pair(i, j));
    }
  }
  for (const auto &x : row) {
    if (!x.second)
      for (int i = 0; i < n; ++i) arr[x.first][i] = 0;
  }
  for (const auto &x : column) {
    if (!x.second)
      for (int i = 0; i < m; ++i) arr[i][x.first] = 0;
  }
  map<int, bool> rCon, cCon;
  for (int i = 0; i < m; ++i) {
    for (int j = 0; j < n; ++j) {
      if (arr[i][j]) {
        rCon[i] = 1;
        cCon[j] = 1;
      } else {
        rCon[i];
        cCon[i];
      }
    }
  }
  for (const auto &i : v)
    if (rCon[i.first] == 0 && cCon[i.second] == 0) {
      cout << "NO";
      return 0;
    }
  cout << "YES\n";
  for (int i = 0; i < m; ++i) {
    for (int j = 0; j < n; ++j) cout << arr[i][j] << " ";
    cout << '\n';
  }
  return 0;
}