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>
#define ALL(v) v.begin(), v.end()
#define rep(i, n) for(int i = 0; i < (int)(n); i++)
using namespace std;
typedef long long ll;

int main() {
  ll H,W,h,w; cin>>H>>W>>h>>w;
  ll max=1000000000/(h*w);
  
  ll hu=(H/h)*(W/w);
    ll sei=H*W-hu;
  
  if(max*sei-(max*(h*w-1)+1)*hu<=0){cout<<"No"<<endl;
                    return 0;}
 cout<<"Yes"<<endl;
  rep(i, H){
    rep(j, W){
      if((i+1)%h==0 && (j+1)%w==0) cout<<(-max*(h*w-1)-1);
      else cout<<max;
      if(j==W-1)cout<<endl;
      else cout<<" ";
    }
  }
  
}