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;cin>>H>>W>>h>>w;
  vector<vector<long long>>V(H,vector<long long>(W,1000));
  if(H%h==0&&W%w==0)cout<<"No"<<endl;
  else{
    cout<<"Yes"<<endl;
    for(int X=h-1;X<H;X+=h){
      for(int Y=w-1;Y<W;Y+=w){
        V[X][Y]=(h*w-h*w*2+1)*1000-1;
      }
    }
    for(int X=0;X<H;X++){
      for(int Y=0;Y<W;Y++){
        if(Y==W-1)cout<<V[X][Y]<<endl;
        else cout<<V[X][Y]<<" ";
      }
    }
  }
}