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:
#!/usr/bin/env python3
H, W, h, w = map(int, input().split())
if W % w == 0 and H % h == 0:
    print('No')
else:
    swapped = False
    if W % w == 0:
        H, W, h, w, swapped = W, H, w, h, True
    a = [ [ 0 for _ in range(W) ] for _ in range(H) ]
    for y in range(H):
        for x in range(0, W, w):
            a[y][x] = W
        for x in range(w - 1, W, w):
            a[y][x] = - W - 1
    if swapped:
        H, W, h, w = W, H, w, h
        b = a
        a = [ [ 0 for _ in range(W) ] for _ in range(H) ]
        for y in range(H):
            for x in range(W):
                a[y][x] = b[x][y]
    print('Yes')
    for y in range(H):
        print(*a[y])