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 <bits/stdc++.h>
using namespace std;
typedef long long ll;
int main() {
	ll n,m,x,y;
	cin >> n >> m >> x >> y;
	int P = 999999999;
	int N = -(P+1);
	if(n%x == 0 && m%y == 0) {
		cout << "No\n";
	} else {
		cout << "Yes\n";
		for(int i=0;i<n;i++) {
			for(int j=0;j<m;j++) {
				if(j > 0) {cout << " ";}
				if(i%x == 0 && j%y == 0) {
					cout << P;
				} else if(i%x == x-1 && j%y == y-1) {
					cout << N;
				} else {
					cout << 0;
				}
			}
			cout << '\n';
		}
	}
}