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 <bits/stdc++.h>
using namespace std;
 
const double eps=1e-7;
int H,h,W,w;
inline int val(int i,int j,int a,int b) {return ((i%h)||(j%w)) ? a : b;}
int main() {
	cin>>H>>W>>h>>w;
	if((!(H%h)) && (!(W%w))) return puts("No"),0;
	int v=(1e9-1)/(h*w-1);
	if((long long)v*(H*W-(H/h)*h*(W/w)*w)<=((H/h)*(W/w))) return puts("No"),0;
	puts("Yes");
	for(int i=1;i<=H;i++,cout<<'\n')
		for(int j=1;j<=W;cout<<val(i,j,v,-v*(h*w-1)-1)<<' ',j++);
}