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 <iostream>
#include <algorithm>
#include <cstring>
using namespace std;
typedef long long LL;

LL n,m,h,w;
LL val[505][505] = {0};

int main(){
	cin >> n >> m >> h >> w;
	if(!(n % h || m % w)){
		cout << "No" << endl;
		return 0;
	}
	cout << "Yes" << endl;
	for(LL i = h;i <= n;i += h)
		for(LL j = w;j <= m;j += w)
			val[i][j] = - (h * w * 1000 - 999);
	for(LL i = 1;i <= n;i ++)
		for(LL j = 1;j <= m;j ++)
			cout << (val[i][j] ? val[i][j] : 1000) << (j == m ? '\n' : ' ');
	return 0;
}//