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:
#設定
import sys
input = sys.stdin.buffer.readline

#ライブラリインポート
from collections import defaultdict

#入力受け取り
def getlist():
	return list(map(int, input().split()))

#処理内容
def main():
	H, W, h, w = getlist()
	L = [[1] * W for i in range(H)]
	if h * w != 1:
		x = (10 ** 9 - 1) // (h * w - 1)
		for i in range(H):
			for j in range(W):
				L[i][j] = x
	for i in range(H // h):
		for j in range(W // w):
			L[(i + 1) * h - 1][(j + 1) * w - 1] = - 10 ** 9
	s = 0
	for i in range(H):
		for j in range(W):
			s += L[i][j]
	if s < 0:
		print("No")
		return
	
	print("Yes")
	for i in range(H):
		print(" ".join(list(map(str, L[i]))))

if __name__ == '__main__':
	main()