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 <iostream>
#include<algorithm>
#include<string>
#include<map>
#include<iomanip>
#include<vector>
#include<cmath>

#define mod 1000000007
#define pa(a,b) make_pair(a,b)
#define LL  long long int

using namespace std;
int main()
{
    int H,W,h,w; cin>>H>>W>>h>>w;
    int a[600][600]; int num=h*w;
    for(int i=0;i<=530;i++)for(int j=0;j<550;j++)a[i][j]=1;
    for(int i=h;i<=H;i+=h)
    {
        for(int j=w;j<=W;j+=w)
        {
            a[i-1][j-1]=-1*num;
        }
    }
    int sum=0;
    for(int i=0;i<H;i++)for(int j=0;j<W;j++)sum+=a[i][j];
    if(sum>=0)
    {
        cout<<"Yes"<<endl;
        for(int i=0;i<H;i++){for(int j=0;j<W;j++)cout<<a[i][j]<<" "; cout<<endl;}
        return 0 ;
    }
    else {
    for(int i=0;i<=530;i++)for(int j=0;j<550;j++)a[i][j]=1;
    for(int i=0;i<=H;i+=h)
    {
        for(int j=w;j<=W;j+=w)
        {
            a[i-1][j-1]=-1*num;
        }
    }
    sum=0;
    for(int i=0;i<H;i++)for(int j=0;j<W;j++)sum+=a[i][j];
    if(sum>=0){
        cout<<"Yes"<<endl;
        for(int i=0;i<H;i++){for(int j=0;j<W;j++)cout<<a[i][j]<<" "; cout<<endl;}
        return 0 ; }
}
cout<<"No";
}