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:

min2 = lambda x,y: x if x < y else y

def solve(H,W,h,w):

    if h == 1 and w == 1:
        return None

    res = [[0]*W for _ in range(H)]



    for i in range(0,W,w):
        for j in range(0,H,h):
            res[j][i] = 10**9-1
            if i+w-1 < W and j+h-1 < H:
                res[j+h-1][i+w-1] = -10**9

    s = sum(sum(l) for l in res)
    if s <= 0:
        return None
    else:
        return res




if __name__ == '__main__':
    H,W,h,w = map(int,input().split())
    res = solve(H,W,h,w)

    if res:
        print('Yes')
        print('\n'.join(' '.join(map(str,l)) for l in res))
    else:
        print('No')