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:
H, W, h, w = map(int, input().split())
if H % h == 0 and W % w == 0:
    print("No")
else:
    print("Yes")
    k = 1000000
    R = [[0]*W for i in range(H)]
    for i in range(0, H, h):
        for j in range(0, W, w):
            R[i][j] += k
            if i+h-1 < H:
                R[i+h-1][j] += k
            if j+w-1 < W:
                R[i][j+w-1] += k
            if i+h-1 < H and j+w-1 < W:
                R[i+h-1][j+w-1] -= 3*k+1
    for r in R:
        print(*r)