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 JAVA):

Solution:
import java.util.*;
import java.io.*;
import java.math.*;

public class Main{

  public static void main(String[] args) throws IOException{
    BufferedReader in = new BufferedReader(new InputStreamReader(System.in));

    Integer[] HWhw = Arrays.stream(in.readLine().split(" ")).map(Integer::parseInt).toArray(Integer[]::new);

    int H = HWhw[0];
    int W = HWhw[1];
    int h = HWhw[2];
    int w = HWhw[3];

    long[][] rect = new long[H][W];

    long large = (long)Math.pow(10L, 9)-1;

    if (H%h==0 && W%w==0) {
      System.out.println("No");
    }else{
      System.out.println("Yes");
      for(int i=0;i<H;i+=h){
        for(int j=0;j<W;j+=w){
          rect[i][j] = large;
        }
      }
      for(int i=h-1;i<H;i+=h){
        for(int j=w-1;j<W;j+=w){
          rect[i][j] -= (large+1);
        }
      }
      for(int i=0;i<H;i++){
        for(int j=0;j<W;j++){
          System.out.print(rect[i][j]+" ");
        }
        System.out.println();
      }
    }
  }
}