Problem: 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.

Examples

Input

3 3 2 2


Output

Yes
1 1 1
1 -4 1
1 1 1


Input

2 4 1 2


Output

No


Input

3 4 2 3


Output

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

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
#include <cstdio>
using namespace std;

int a[1000][1000], H, W, h, w;
int main(void) {
  scanf("%d%d%d%d", &H, &W, &h, &w);
  if ((H%h == 0) && (W%w == 0)) {printf("No\n"); return 0;}
  printf("Yes\n");
  a[0][0]= (H/h)*(W/w) + 1;
  a[h - 1][w - 1] = -a[0][0] - 1;
  for (int i =0; i < H; ++i) {
    for (int j = 0; j < W; ++j) {
      printf("%d ",a[i%h][j%w]);
    }
    printf("\n");
  }
  return 0;
}