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:
/**
 * Created by yoshiwaratomohiro on 2017/06/18.
 */
import java.util.Scanner;
public class Main {
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        int H=scan.nextInt();
        int W=scan.nextInt();
        int h=scan.nextInt();
        int w=scan.nextInt();

        int area=h*w;
        int[][] box = new int[H][W];
        long sum=0;

        int INF=1000000000;

        for(int i=0;i<H;i++){
            for(int j=0;j<W;j++){
                if(i%h==h-1&&j%w==w-1){
                    box[i][j]=INF*-1;
                }else{
                    if(i%h==0&&j%w==0){
                        box[i][j]=INF-area+1;
                    }else{
                        box[i][j]=1;
                    }

                }
                sum+=box[i][j];

            }

        }
        if(sum>0){
            System.out.println("Yes");
            for(int i=0;i<H;i++){
                for(int j=0;j<W;j++){
                    System.out.print(box[i][j]);
                    if(j<W-1){
                        System.out.print(" ");
                    }
                }
                System.out.println("");
            }

        }else{
            System.out.println("No");
        }
    }
}