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: Runtime Error)

#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <numeric>
#include <utility>
#include <sys/time.h>
#include <cmath>

using namespace std;

void solve(int H, int W, int h, int w) {
    vector< vector<int> > ans(H, vector<int>(W));
    if (H/2 < h && H-h > 0) {
        std::cout << "Yes" << std::endl;
        int x = 2*h - H;
        int y = h - x;
        int t = 500*y + 1;
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                if (i < y || i >= h) {
                    ans[i][j] = 500;
                } else if(i == y) {
                    ans[i][j] = -(t - x + 1);
                } else {
                    ans[i][j] = -1;
                }
            }
        }
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W-1; j++) {
                std::cout << ans[i][j] << ' ';
            }
            std::cout << ans[i][W-1] << std::endl;
        }
    } else if (W/2 < w && W-w > 0) {
        std::cout << "Yes" << std::endl;
        int x = 2*w - W;
        int y = w - x;
        int t = 500*y + 1;
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                if (j < y || j >= w) {
                    ans[i][j] = 500;
                } else if(j == y) {
                    ans[i][j] = -(t - x + 1);
                } else {
                    ans[i][j] = -1;
                }
            }
        }
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W-1; j++) {
                std::cout << ans[i][j] << ' ';
            }
            std::cout << ans[i][W-1] << std::endl;
        }
    } else if (h == 2 && H%2 != 0){
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                if (i%2 == 0) {
                    ans[i][j] = 500;
                } else {
                    ans[i][j] = -501;
                }
            }
        }
        std::cout << "Yes" << std::endl;
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W-1; j++) {
                std::cout << ans[i][j] << ' ';
            }
            std::cout << ans[i][W-1] << std::endl;
        }
    } else if (w == 2 && W%2 != 0){
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                if (j%2 == 0) {
                    ans[i][j] = 500;
                } else {
                    ans[i][j] = -501;
                }
            }
        }
        std::cout << "Yes" << std::endl;
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W-1; j++) {
                std::cout << ans[i][j] << ' ';
            }
            std::cout << ans[i][W-1] << std::endl;
        }
    } else if (h > 2 && H%h != 0) {
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                if ((i+1)%h == 0) {
                    ans[i][j] = -500*(h-1) - 1;
                } else {
                    ans[i][j] = 500;
                }
            }
        }
        std::cout << "Yes" << std::endl;
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W-1; j++) {
                std::cout << ans[i][j] << ' ';
            }
            std::cout << ans[i][W-1] << std::endl;
        }
    } else if (w > 2 && W%w !=0) {
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                if ((j+1)%j == 0) {
                    ans[i][j] = -500*(w-1) - 1;
                } else {
                    ans[i][j] = 500;
                }
            }
        }
        std::cout << "Yes" << std::endl;
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W-1; j++) {
                std::cout << ans[i][j] << ' ';
            }
            std::cout << ans[i][W-1] << std::endl;
        }
    } else {
        std::cout << "No" << std::endl;
    }

}

int main() {
    struct timeval start,end;
    long long span;
    int H, W, h, w;

    gettimeofday(&start,NULL);

    std::cin >> H >> W >> h >> w;
    solve(H, W, h, w);

    gettimeofday(&end,NULL);
    span = (end.tv_sec -start.tv_sec)*1000000LL + (end.tv_usec - start.tv_usec);
    std::cerr << "--Total Time: " << span/1000 << "ms" << endl;
    return 0;
}