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 hh,ww,h,w,a=0;
  cin >> hh >> ww >> h >> w;
  vector<vector<long>> ans(hh,vector<long>(ww));
  for(long i=0;i<hh;i++) {
    for(long j=0;j<ww;j++) {
      if(i%h+j%w==0) ans[i][j]=999999999,a+=999999999;
      else if((i+1)%h+(j+1)%w==0) ans[i][j]=-1000000000,a-=1000000000;
    }
  }
  if(a>0&&h*w>1) {
    cout << "Yes" << endl;
    for(long i=0;i<hh;i++) {
      for(long j=0;j<ww;j++) cout << ans[i][j] << " ";
      cout << endl;
    }
  } else {
    cout << "No" << endl;
  }
}