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<cstdio>
#include<algorithm>
#define fo(i,a,b) for(i=a;i<=b;i++)
using namespace std;
const int maxn=500+10;
int a[maxn][maxn];
int i,j,k,l,t,n,m,d,h,w;
int main(){
	scanf("%d%d%d%d",&n,&m,&h,&w);
	d=2000;
	fo(i,1,n)
		fo(j,1,m)
			a[i][j]=d;
	fo(i,1,n/h)
		fo(j,1,m/w)
			a[h*i][w*j]=-(h*w-1)*d-1;
	t=0;
	fo(i,1,n)
		fo(j,1,m)
			t+=a[i][j];
	if (t<=0){
		printf("No\n");
		return 0;
	}
	printf("Yes\n");
	fo(i,1,n){
		fo(j,1,m) printf("%d%c",a[i][j],j==m?'\n':' ');
	}
}