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>
int n,m,nn,mm,i,j;
void put(int x){if (x>9) put(x/10);putchar(x%10+48);}
void write(int x){if (x<0) putchar('-'),x=-x;put(x);}
int main(){
	scanf("%d%d%d%d",&n,&m,&nn,&mm);
	if (n%nn==0&&m%mm==0){puts("No");return 0;}
	puts("Yes");
	int v=(1e9-1)/(nn*mm-1),k=-(nn*mm-1)*v-1;
	for (i=1;i<=n;i++,putchar('\n')) for (j=1;j<=m;j++)
		write(i%nn||j%mm?v:k),putchar(' ');
}