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:
def get_1d(H, h):
    ret = [0] * (H + 1)
    for s in range(h):
        for x, i in enumerate(range(s, H, h)):
            ret[i] = -x
    for x, i in enumerate(range(H, 0, -h)):
        ret[i] = x + 1
    return [x1 - x0 for x0, x1 in zip(ret, ret[1:])]


def solve(H, W, h, w):
    if H % h == 0 and W % w == 0:
        return False
    ans = []
    if H % h > 0:
        col = get_1d(H, h)
        ans.extend([x] * W for x in col)
    else:
        row = get_1d(W, w)
        ans.extend([row] * H)
    return ans


H, W, h, w = map(int, input().split())
ans = solve(H, W, h, w)
if ans == False:
    print('No')
else:
    print('Yes')
    for row in ans:
        print(*row)