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;

int H, W, h, w, a[505][505];
long long ret;

int main () {
	scanf("%d%d%d%d", &H, &W, &h, &w);
	for (int i = 1; i <= H; i += h) for (int j = 1; j <= W; j += w) {
		a[i][j] = 1e9 - 1;
		ret += 1e9 - 1;
	}
	for (int i = h; i <= H; i += h) for (int j = w; j <= W; j += w) {
		a[i][j] = -1e9;
		ret -= 1e9;
	}
	if (ret <= 0) return puts("No"), 0;
	puts("Yes");
	for (int i = 1; i <= H; ++i) for (int j = 1; j <= W; ++j) printf("%d%c", a[i][j], j == W ? '\n' : ' ');
	return 0;
}