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.*;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int H = sc.nextInt();
    int W = sc.nextInt();
    int h = sc.nextInt();
    int w = sc.nextInt();
    if((H % h == 0) && (W % w == 0)) {
      System.out.println("No");
    } else {
      System.out.println("Yes");
      int[][] ans = new int[H][W];
      if(H % h == 0) {
        for(int i = 0; i < H; i++) {
          for(int j = 0; j < W; j++) {
            if(j % w == 0) {
              ans[i][j] = 1000 * w - 1001;
            } else {
              ans[i][j] = -1000;
            }
          }
        }
      } else {
        for(int i = 0; i < H; i++) {
          for(int j = 0; j < W; j++) {
            if(i % h == 0) {
              ans[i][j] = 1000 * h - 1001; 
            } else {
              ans[i][j] = -1000;
            }
          }
        }
      }
      for(int i = 0; i < H; i++) {
        for(int j = 0; j < W; j++) {
          System.out.print(ans[i][j]);
          if(j < W - 1) {
            System.out.print(" ");
          } else {
            System.out.println();
          }
        }
      }
    }
  }
}