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(){
    int H, W, h, w;
    cin>>H>>W>>h>>w;
    if(H%h==0 && W%w==0) {
        cout<<"No";
        return 0;
    }
    cout<<"Yes"<<'\n';
    int pval=(W/w)*(H/h)*2;
    int nval=-pval*(w*h-1)-1;
    for(int i=1; i<=H; i++) {
        for(int j=1; j<=W; j++) {
            if(j%w==0 && i%h==0) {
                cout<<nval;
            } else {
                cout<<pval;
            }
            if(j!=W) {
                cout<<" ";
            }
        }
        cout<<'\n';
    }
    return 0;
}