Problem:
Score : 700 points

Problem Statement

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.

Sample Input 1

3 3 2 2

Sample Output 1

Yes
1 1 1
1 -4 1
1 1 1

The sum of all the elements of this matrix is 4, which is positive.
Also, in this matrix, there are four subrectangles with 2 rows and 2 columns as shown below. For each of them, the sum of all the elements inside is -1, which is negative.

Sample Input 2

2 4 1 2

Sample Output 2

No

Sample Input 3

3 4 2 3

Sample Output 3

Yes
2 -5 8 7
3 -5 -4 -5
2 1 -1 7

Solution in C (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <ctype.h>
#include <string.h>
#define ll long long

int main(void){
int H,W,h,w;
scanf("%d%d%d%d",&H,&W,&h,&w);
if(H<h+1||W<w+1||h==1||w==1){
 printf("No\n");
 return 0;
}else{
printf("Yes\n");
int i,j;
for(i=0;i<H;i++){
for(j=0;j<W;j++){
 if(h*2<H){
 if(i>=h-1&&i<=H-h&&j!=0&&j!=W-1)
 printf("%d",(-1)*(h*w/(w-1)+1));
 else printf("1");
 }else{
     if(i==H/2&&j!=0&&j!=W-1) printf("%d",(-1)*(h*w/(w-1)+1));
     else printf("1");
 }
 if(j!=W-1)
 printf(" ");
 else printf("\n");
}
}
}

return 0;
}