Problem: 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.

Examples

Input

3 3 2 2


Output

Yes
1 1 1
1 -4 1
1 1 1


Input

2 4 1 2


Output

No


Input

3 4 2 3


Output

Yes
2 -5 8 7
3 -5 -4 -5
2 1 -1 7

Solution (in CPP):

Solution:
#include<iostream>
#include<vector>
using namespace std;
#define rep(i, a, b) for(int i = a; i < b; i++)

const int INF = 1e9;

int main(){
    int H, W, h, w; cin >> H >> W >> h >> w;
    if(H%h==0 and W%w==0){
        cout << "No" << endl;
        return 0;
    }
    cout << "Yes" << endl;
    rep(i, 0, H){
        rep(j, 0, W){
            if(i%h==0 and j%w==0) cout << INF - 1;
            else if(i%h==h-1 and j%w==w-1) cout << -INF;
            else cout << 0;
            if(j != W - 1) cout << " ";
        }
        cout << endl;
    }
    return 0;
}