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

int n,m,a,b,i,j,k;
int c[505][505];

int main()
{
	scanf("%d%d%d%d",&n,&m,&a,&b);
	if(n%a==0&&m%b==0)
	{
		printf("No\n");
		return 0;
	}
	printf("Yes\n");
	for(i=1;i<=n;++i)
	for(j=1;j<=m;++j)
	c[i][j]=1000000;
	if(n%a)
	{
		for(i=a;i<=n;i+=a)
		for(j=1;j<=m;++j)
		c[i][j]=-(a-1)*1000000-1;
	}
	else
	{
		for(j=b;j<=m;j+=b)
		for(i=1;i<=n;++i)
		c[i][j]=-(b-1)*1000000-1;
	}
	for(i=1;i<=n;++i)
	for(j=1;j<=m;++j)
	{
		printf("%d",c[i][j]);
		if(j==m)printf("\n");
		else printf(" ");
	}
}