Problem:
Score : 700 points

Problem Statement

You are given four integers: H, W, h and w (1 ≤ h ≤ H, 1 ≤ w ≤ W).
Determine whether there exists a matrix such that all of the following conditions are held, and construct one such matrix if the answer is positive:

The matrix has H rows and W columns.

Each element of the matrix is an integer between -10^9 and 10^9 (inclusive).

The sum of all the elements of the matrix is positive.

The sum of all the elements within every subrectangle with h rows and w columns in the matrix is negative.

Constraints

1 ≤ h ≤ H ≤ 500

1 ≤ w ≤ W ≤ 500

Input

Input is given from Standard Input in the following format:

H W h w

Output

If there does not exist a matrix that satisfies all of the conditions, print No.

Otherwise, print Yes in the first line, and print a matrix in the subsequent lines in the following format:

a_{11} ... a_{1W}
:
a_{H1} ... a_{HW}

Here, a_{ij} represents the (i,\ j) element of the matrix.

Sample Input 1

3 3 2 2

Sample Output 1

Yes
1 1 1
1 -4 1
1 1 1

The sum of all the elements of this matrix is 4, which is positive.
Also, in this matrix, there are four subrectangles with 2 rows and 2 columns as shown below. For each of them, the sum of all the elements inside is -1, which is negative.

Sample Input 2

2 4 1 2

Sample Output 2

No

Sample Input 3

3 4 2 3

Sample Output 3

Yes
2 -5 8 7
3 -5 -4 -5
2 1 -1 7

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
using namespace std;
int H, W, h, w;
int main() {
  cin >> H >> W >> h >> w;

  if ((H % h) == 0 && (W % w) == 0) {
    cout << "No" << endl;
    return 0;
  } 

  cout << "Yes" << endl;
  bool rev = false;
  if ((H % h) == 0) {
    swap(W, H);
    swap(w, h);
    rev = true;
  }
  assert(H % h > 0);

  int c1 = 1 + 300000;
  int c2 = -h + (1 - h) * 300000;


  if (rev) {
    for(int j  = 0; j < W; ++j) {
      for(int i = 0; i < H; ++i) {
        if ((i % h) == h - 1) {
          cout << c2 << ' ';
        } else {
          cout << c1 << ' ';
        }
      }

      cout << '\n';
    }

    return 0;
  }

  // else
  for(int i = 0; i < H; ++i) {
    if ((i % h) == h - 1) {
      for(int j = 0; j < W; ++j) {
        cout << c2 << ' ';
      }
    } else {
      for(int j = 0; j < W; ++j) {
        cout << c1 << ' ';
      }
    }

    cout << '\n';
  }
}