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 m,n,A,B,f[505][505];

int main()
{
    cin>>m>>n>>A>>B;
    if(m%A==0&&n%B==0)
    {
        cout<<"No";
        return 0;
    }
    for(int i=1;i<=m;i++)
        for(int j=1;j<=n;j++)
            if(i%A==0&&j%B==0)
                f[i][j]=-(1000*(A*B-1)+1);
            else
                f[i][j]=1000;
    cout<<"Yes\n";
    for(int i=1;i<=m;i++)
    {
        for(int j=1;j<=n;j++)
            cout<<f[i][j]<<' ';
        cout<<"\n";
    }
}