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>
using namespace std;
int H,W,h,w;
void structure(int id){
	switch(id){
		case 1:{
			const unsigned int HLJ=(19260817)*(25252)*(0x98e);
			int HLL=HLJ%998244853;
			for(int i=0;i<H;i++){
    				for(int j=0;j<W;j++){
    					printf("%d%c",
    					((i%h)||(j%w))?
    					(
    					(((i+1)%h)||((j+1)%w))
    					?(0)
    					:(-HLL-1)
    					):HLL,(j+1)!=W?' ':'\n');
				}
    			}
		}break;
		case 2:{
			
		}break;
		case 3:{
					
		}break;
	}
}
int main(){
	scanf("%d%d%d%d",&H,&W,&h,&w);
	if(H%h||W%w)puts("Yes"),structure(1);
	else puts("No");
	return 0;
}