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;
#define int long long

const int CON = 1e9-1;

signed main(void){
  int H,W,h,w; cin >> H >> W >> h >> w; 
  if( H % h == 0 && W % w == 0 ){ cout << "No" << endl; return 0;}
  
  cout << "Yes" << endl;
  //左上の値は、ギリギリまで大きくしたい
  
  int a = CON/(h*w-1);
 
  for(int i = 0; i < H; i++){
    for(int j = 0; j < W; j++){
      
      if( i % h == h-1 && j % w == w-1 ){ cout << -((h*w-1)*a+1) << " ";}
      else{ cout << a << " ";}
      
    }
    
    cout << endl;
  }
  
  return 0;
}