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: Wrong Answer)

#include <cstdlib>
#include <iostream>
#include <queue>
#include <vector>
#include <cmath>
#include <string>
using namespace std;
typedef unsigned long long u64;
typedef signed long long l64;

int main(void)
{
  cin.tie(0);
  ios::sync_with_stdio(false);
  int H, W, h, w;
  cin >> H >> W >> h >> w;
  l64 mat[H][W];
  l64 sum = 0;
  u64 m_cnt = 0;
  for (int i = 0; i < H; ++i) {
    for (int j = 0; j < W; ++j) {
      if (i%h == h-1 && j%w == w-1) {
        mat[i][j] = -1*(h*w);
        m_cnt++;
      } else {
        mat[i][j] = 1;
      }
      sum += mat[i][j];
    }
  }
  if (sum > 0) {
    cout << "Yes" << endl;
    for (int i = 0; i < H; ++i) {
      for (int j = 0; j < W; ++j) {
        cout << mat[i][j] << " ";
      }
      cout << endl;
    }
  } else if (h*w == 1) {
    cout << "No" << endl;
  } else if ( (999999999 / (h*w-1)) * (h*w-1) + 1 < (999999999 / (h*w-1)) * H * W ) {
    cout << "Yes" << endl;
    l64 amp = 999999999 / (h*w-1);
    for (int i = 0; i < H; ++i) {
      for (int j = 0; j < W; ++j) {
        if (mat[i][j] == 1) {
          cout << amp << " ";
        } else {
          cout << -1 * ((h*w-1) * amp + 1) << " ";
        }
      }
      cout << endl;    }
  } else {
    cout << "No" << endl;
  }
  return 0;
}