Problem:
Score : 700 points

Problem Statement

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.

Sample Input 1

3 3 2 2

Sample Output 1

Yes
1 1 1
1 -4 1
1 1 1

The sum of all the elements of this matrix is 4, which is positive.
Also, in this matrix, there are four subrectangles with 2 rows and 2 columns as shown below. For each of them, the sum of all the elements inside is -1, which is negative.

Sample Input 2

2 4 1 2

Sample Output 2

No

Sample Input 3

3 4 2 3

Sample Output 3

Yes
2 -5 8 7
3 -5 -4 -5
2 1 -1 7

Solution in C++ (GCC 9.2.1) (judge verdict: Accepted)

#pragma GCC optimize("Ofast", "unroll-loops")

#include <iostream>
#include <vector>

using namespace std;

int H, W, h, w;

void input(void){
	cin >> H >> W >> h >> w;
}

bool judge_possible(void){
	return !(H % h == 0 && W % w == 0);
}

vector<int> construct(int N, int n){
	vector<int> ret(N);
	for (int i = 0; i < N; ++i){
		if ((i + 1) % n == 0) 
			ret[i] = -500 * n + 499;
		else ret[i] = 500;
	}
	return ret;
}

int main(void){
	input();
	if (judge_possible()){
		cout << "Yes" << endl;
		if (W % w){
			vector<int> tmp = construct(W, w);
			for (int _ = 0; _ < H; ++_){
				for (int i = 0; i < W; ++i)
					cout << tmp[i] << (i == W - 1 ? "\n" : " ");
			}
		}
		else{
			vector<int> tmp = construct(H, h);
			for (int i = 0; i < H; ++i){
				for (int _ = 0; _ < W; ++_)
					cout << tmp[i] << (_ == W - 1 ? "\n" : " ");
			}
		}
	}
	else{
		cout << "No" << endl;
	}
	return 0;
}