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>
#define sz(c)      int(c.size())
#define rep(i,a,b) for (int i=a; i<(b); ++i)
#define per(i,a,b) for (int i=(b)-1; i>=(a); --i)
using namespace std;
using ll = long long;

const int MAXN=550;
int H,W,h,w;
int f[MAXN][MAXN];

void add(int x,int y,int z) {
	for (int i=x; i<H; i|=i+1) {
		for (int j=y; j<W; j|=j+1) {
			f[i][j]+=z;
		}
	}
}

int sum(int x,int y) {
	int res=0;
	for (int i=x; i>=0; i&=i+1, i--) {
		for (int j=y; j>=0; j&=j+1, j--) {
			res+=f[i][j];
		}
	}
	return res;
}

int sum(int x1,int y1,int x2,int y2) {
	return sum(x2,y2) - sum(x2,y1-1) - sum(x1-1,y2) + sum(x1-1,y1-1);
}

int main() {
	cin.tie(0);
	ios_base::sync_with_stdio(0);
	cout<<fixed<<setprecision(10);

	cin>>H>>W>>h>>w;
	rep(i,0,H) rep(j,0,W) add(i,j,1);
	
	rep(i,h-1,H) rep(j,w-1,W) {
		int s=sum(i-h+1,j-w+1,i,j);
		if (s>=0) {
			add(i,j,-s-1);
		}
	}
	
	if (sum(0,0,H-1,W-1)<=0) {
		cout<<"No\n";
		return 0;
	}
	
	cout<<"Yes\n";
	rep(i,0,H) rep(j,0,W) cout<<sum(i,j,i,j)<<" \n"[j+1==W];
}