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.Scanner;

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();
        int c = W / w;
        int d = H / h;
        int resX = W % w;
        sc.close();
        int resY = H % h;
        if (resX == 0 && resY == 0) {
            System.out.println("No");
            return;
        }
        // 余りの数
        int edge = resX * H + resY * W - resX * resY;
        int a = 0;
        int anum = h * w - 1;
        while (a * edge <= c * d) {
            a++;
            if (a > 1000000000) {
                System.out.println("No");
                return;
            }
            if (a * anum + 1 > 1000000000) {
                System.out.println("No");
                return;
            }
        }
        int b = a * anum + 1;
        b *= -1;
        System.out.println("Yes");
        for (int j = 1; j < H + 1; j++) {
            if (j % h != 0) {
                for (int i = 1; i < W + 1; i++) {
                    System.out.print(a);
                    if (i != W) {
                        System.out.print(" ");
                    }
                }
                System.out.println("");
                continue;
            }
            for (int i = 1; i < W + 1; i++) {
                if (i % w == 0) {
                    System.out.print(b);
                } else {
                    System.out.print(a);
                }
                if (i != W) {
                    System.out.print(" ");
                }
            }
            System.out.println("");
        }
    }
}