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>
#include <cstdio>
#include <vector>
#include <string>
#include <algorithm>
#include <map>
#include <set>

int main() {
	int H, W, h, w;
	std::cin >> H >> W >> h >> w;

	if (H % h == 0 && W % w == 0) {
		puts("No");
		return 0;
	}
	
	constexpr int INF = 1e9;

	puts("Yes");
	for (int i = 0; i < H; i++) {
		for (int j = 0; j < W; j++) {
			if (i % h == 0 && j % w == 0) {
				printf("%d ", INF - 1);
			} else if (i % h == h - 1 && j % w == w - 1) {
				printf("%d ", -INF);
			} else {
				printf("%d ", 0);
			}
		}
		puts("");
	}
}