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 <iostream>
using namespace std;

int main() {
	int H, W, h, w;
	cin >> H >> W >> h >> w;
	if(H%h<1 && W%w<1) cout << "No" << endl;
	else{
	    cout << "Yes" << endl;
	    int T=((H/h)*(W/w))/(W*(H%h)+H*(W%w)-(H%h)*(W%w))+1;
	    for(int i=1; i<=H; ++i){
	        for(int j=1; j<=W; ++j){
	            if(i%h<1 && j%w<1) cout << -T*(h*w-1)-1;
	            else cout << T;
	            if(j<W) cout << ' ';
	            else cout << endl;
	        }
	    }
	}
	return 0;
}