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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <vector>

using namespace std;

int main(){
	int H, W, h, w;
	while(cin >> H >> W >> h >> w){
		vector<vector<int>> mtx(H, vector<int>(W, 0));
		if(h==1 && w==1){
			cout << "No" << endl;
			continue;
		}
		long long sum = 0;
		for(int i=0;i<H;i++){
			for(int j=0;j<W;j++){
				if(i%h == h-1 && j%w == w-1){
					mtx[i][j] = -1000000000;
				} else if(i%h == 0 && j%w == 0){
					mtx[i][j] = 999999999 - (h*w-2);
				} else {
					mtx[i][j] = 1;
				}
				sum += mtx[i][j];
			}
		}
		if(sum > 0){
			cout << "Yes" << endl;
			for(int i=0;i<H;i++){
				cout << mtx[i][0];
				for(int j=1;j<W;j++) cout << " " << mtx[i][j];
				cout << endl;
			}
		} else {
			cout << "No" << endl;
		}
	}
}