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>
const int INF=1e9,MOD=1e9+7;
const long long LINF=1e18;
using namespace std;
#define int long long
#define fin {cout<<"No"<<endl;return 0;}
//template
int ans[555][555];
//main
signed main(){
  int H,W,h,w;cin>>H>>W>>h>>w;
  if(h*2<=H&&w*2<=W)fin
  for(int i=0;i<H;i++)for(int j=0;j<W;j++)ans[i][j]=1;
  int u,d,l,r;
  u=H-h;d=h-1;l=W-w;r=w-1;
  for(int i=0;i<H;i++)for(int j=l;j<=r;j++)ans[i][j]=0;
  for(int i=u;i<=d;i++)for(int j=0;j<W;j++)ans[i][j]=0;
  int now=0;int bow=0;
  for(int i=0;i<h;i++)for(int j=0;j<w;j++)now+=ans[i][j];
  for(int i=0;i<H;i++)for(int j=0;j<W;j++)bow+=ans[i][j];
  int a=now,b=h*w-now;
  int c=__gcd(a,b);a/=c;b/=c;
  int pl,mi;
  for(pl=1;;pl++){
    if((pl*a+1)%b==0){mi=(pl*a+1)/b;break;}
  }
  for(int i=0;i<H;i++)for(int j=0;j<W;j++)ans[i][j]=pl;
  for(int i=0;i<H;i++)for(int j=l;j<=r;j++)ans[i][j]=-mi;
  for(int i=u;i<=d;i++)for(int j=0;j<W;j++)ans[i][j]=-mi;
  cout<<"Yes"<<endl;
  for(int i=0;i<H;i++){
    for(int j=0;j<W;j++){
      if(j)cout<<" ";cout<<ans[i][j];
    }
    cout<<endl;
  }
}