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++11 (GCC 4.8.1) (judge verdict: Accepted)

#include <iostream>
#include <algorithm>
#include <iomanip>
#include <string>
#include <functional>
#include <utility>
#include <queue>
#include <vector>
#include <string>
#include <stack>
#include <cmath>
#define rep(i,n) for(ll i=0;i<n;i++)
using namespace std;
typedef long long int ll;
const ll  MOD = 1000000007;
typedef pair<ll,ll> P;
const ll INF = 100100100100100100;

ll H,W,h,w;
ll field[1000][1000];
int main(){
  cin >> H >> W >> h >> w;
  if((H%h == 0 && W%w == 0) || H*W == h*w){
    cout << "No" << endl;
    return 0;
  }
  cout << "Yes" << endl;
  if(h == 1 || w == 1){
    rep(i,H){
      rep(j,W){
        if((i+1)%h == 0 && (j+1) % w == 0){
          field[i][j] = -((h*w-1)*2000000)-1;
        }
        else{
          field[i][j] = 2000000;
        }
      }
    }
  }
  else{
    rep(i,H){
      rep(j,W){
        if((i+1)%h == 0 && (j+1) % w == 0){
          field[i][j] = -(h*w-1)*4000-1;
        }
        else{
          field[i][j] = 4000;
        }
      }
    }
  }
  rep(i,H){
    rep(j,W){
      if(j==0){
        cout << field[i][j];
      }
      else{
        cout << " " << field[i][j];
      }
    }
    cout << endl;
  }
}