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 <iostream>
#include <stdio.h>
using namespace std;

const int K = 1000;

int main () {
    int a,b,c,d;
    cin >> a >> b >> c >> d;
    if (a%c==0 && b%d==0) puts("No");
    else {
        puts("Yes");
        for (int i=1;a>=i;i++) {
            for (int j=1;b>=j;j++) {
                if (j!=1) printf(" ");
                if (i%c==0&&j%d==0) {
                    printf("%d",-(1+K*(c*d-1)) );
                }
                else printf("%d",K);
            }
            puts("");
        }
    }
}