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:
import sys

# sys.stdin = open('c1.in')


def read_int_list():
    return list(map(int, input().split()))


def read_int():
    return int(input())


def read_str_list():
    return input().split()


def read_str():
    return input()


H, W, h, w = read_int_list()


def solve(H, W, h, w):
    if H % h == 0 and W % w == 0:
        return False, None
    a = [[0] * W for _ in range(H)]
    m = 10 ** 9 - 1
    M = m + 1
    for i in range(0, H, h):
        for j in range(0, W, w):
            a[i][j] = m
    for i in range(h - 1, H, h):
        for j in range(w - 1, W, w):
            a[i][j] = -M
    return True, a


possible, res = solve(H, W, h, w)
if possible:
    print('Yes')
    for row in res:
        print(' '.join(map(str, row)))
else:
    print('No')