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: Wrong Answer)

#include "bits/stdc++.h"
using namespace std;
typedef long long ll;

int main() {
    int H, W, h, w; cin >> H >> W >> h >> w;
    if (h - 1 < H - h || w - 1 < W - w) {
        puts("No");
        return 0;
    }
    vector<vector<int>> ans(H, vector<int>(W, 0));
    int cnt = 0;
    for (int i = 0; i < H; i++) {
        for (int j = 0; j < W; j++) {
            if ((H - h > i || h - 1 < i) || (W - w > j || w - 1 < j)) {
                cnt++;
                ans[i][j] = 1;
            }
        }
    }
    puts("Yes");
    ans[h - 1][w - 1] = -cnt + 1;
    for (int i = 0; i < H; i++) {
        for (int j = 0; j < W; j++) {
            cout << ans[i][j] << " ";
        }
        cout << endl;
    }
    return 0;
}