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, h0, w0 = map(int, input().split())
if h0 == w0 == 1:
    print("No")
    exit()
x, y = h // h0, w // w0
a1cnt = h0 * w0 - 1
a1sum, a2sum = h * w - x * y, x * y
a1 = ((pow(10, 9) - 1) // a1cnt)
a2 = -(a1 * a1cnt + 1)
asum = a1 * a1sum + a2 * a2sum
print("Yes" if asum > 0 else "No")
if asum > 0:
    for i in range(1, h + 1):
        a = [0] * w
        for j in range(1, w + 1):
            a[j - 1] = a2 if i % h0 == j % w0 == 0 else a1
        print(*a)