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
import sys
try: from typing import Any, Union, List, Tuple, Dict
except ImportError: pass
def debug(*args): print(*args, file=sys.stderr)
def exit(): sys.exit(0)
 
 
H, W, h, w = map(int, input().split())
yes, no = "Yes", "No"
 
if (H%h == 0) and (W%w == 0):
    print(no)
    exit()
 
print(yes)
 
unit = 1000
if (W%w != 0):
    for i in range(H):
        # l_ = [str(unit)] * (w-1)
        # l_ += [str(-unit*(w-1)-1)]
        # l = l_ * (W//w)
        # l += [str(unit)] * (W%w)
        l = []
        for j in range(W):
            if j % w == w-1:
                l.append(str(-unit*(w-1)-1))
            else:
                l.append(str(unit))
        print(" ".join(l))
    exit()
if (H%h != 0):
    for i in range(H):
        if i%h == h-1:
            l = [str(-unit*(h-1)-1)] * W
        else:
            l = [str(unit)] * W
        print(" ".join(l))
    exit()
raise Exception("hogeeee")