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>
using namespace std;
typedef long long ll;
typedef vector<ll> vec;
typedef vector<vec> mat;
typedef pair<ll,ll> pll;
const ll mod=1e9+7;
//const ll mod=998244353;
const ll inf=1LL<<62;

int main() {
  ll h,w,y,x;
  cin >> h >> w >> y >> x;
  if(h%y==0&&w%x==0) {
    cout << "No" << endl;
    return 0;
  }
  cout << "Yes" << endl;
  if(w%x) {
    vec s(w+1);
    for(ll i=w;i>=0;i--) {
      if(w-i<x) {
        s[i]=1;
      }
      else {
        s[i]=s[i+x]+1;
      }
    }
    s[0]=0;
    for(ll i=x;i<w;i+=y) {
      s[i]=s[i-x]-1;
    }
    vec a(w);
    for(ll i=0;i<w;i++) {
      a[i]=s[i+1]-s[i];
    }
    for(ll i=0;i<h;i++) {
      for(ll j=0;j<w;j++) {
        if(j) cout << " ";
        cout << a[j];
      }
      cout << endl;
    }
  }
  else {
    vec s(h+1);
    for(ll i=h;i>=0;i--) {
      if(w-i<y) {
        s[i]=1;
      }
      else {
        s[i]=s[i+y]+1;
      }
    }
    s[0]=0;
    for(ll i=y;i<h;i+=y) {
      s[i]=s[i-y]-1;
    }
    vec a(h);
    for(ll i=0;i<h;i++) {
      a[i]=s[i+1]-s[i];
    }
    for(ll i=0;i<h;i++) {
      for(ll j=0;j<w;j++) {
        if(j) cout << " ";
        cout << a[i];
      }
      cout << endl;
    }
  }
}