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 n,m,h,w;
int main()
{
    scanf("%d%d%d%d",&n,&m,&h,&w);
    if(n%h==0&&m%w==0)
    {
        puts("No");return 0;
    }
    puts("Yes");
    int inf=5000;
    for(int i=1;i<=n;i++)
    {
        for(int j=1;j<=m;j++)
        {
            if(i%h==1&&j%w==1)printf("%d ",inf-1);
            else if(h==1&&j%w==1)printf("%d ",inf-1);
            else if(i%h==1&&w==1)printf("%d ",inf-1);
            else if(i%h==0&&j%w==0)printf("%d ",-inf);
            else printf("0 ");
        }
        puts("");
    }
    return 0;
}