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 PYTHON3):

Solution:
import sys
input = sys.stdin.readline

def main():
    H,W,h,w = map(int,input().split())
    if H*W-(H//h)*(W//w)*w*h == 0:
        print("No")
    else:
        if W%w != 0:
            ans = [0 for _ in range(W)]
            co = [0 for _ in range(W+1)]
            for i in range(1,w):
                co[i] = (W-i)//w+1
            for i in range(w,W+1):
                co[i] = co[i-w]-1
            for i in range(W):
               ans[i] = co[i+1]-co[i]
            print("Yes")
            for i in range(H):
                print(*ans)
        else:
            ans = [0 for _ in range(H)]
            co = [0 for _ in range(H+1)]
            for i in range(1,h):
                co[i] = (H-i)//h+1
            for i in range(h,H+1):
                co[i] = co[i-h]-1
            for i in range(H):
               ans[i] = co[i+1]-co[i]
            print("Yes")
            for i in range(H):
                print(*list(ans[i] for _ in range(W)))

if __name__ == "__main__":
    main()