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>
using namespace std;
int main(){
  long long H,W,h,w,sum=0;
  cin >> H >> W >> h >> w;
  int ans[H][W];
  for(int i=0;i<H;i++){
    for(int j=0;j<W;j++){
      ans[i][j]=1000;
      sum+=1000;
    }
  }
  for(int i=h-1;i<H;i+=h){
    for(int j=w-1;j<W;j+=w){
      ans[i][j]=-(h*w-1)*1000-1;
      sum-=1000;
      sum+=ans[i][j];
    }
  }
  if(sum<=0){
    cout << "No\n";
    return 0;
  }
  cout << "Yes\n";
  for(int i=0;i<H;i++){
    for(int j=0;j<W;j++){
      cout << ans[i][j] << ((j==W-1)?'\n':' ');
    }
  }
  return 0;
}