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
H,W,h,w=map(int,input().split())
if W%w==0 and H%h==0:
  print('No')
  sys.exit()
print('Yes')
if W%w!=0:
  m=[]
  a=str(1000*(w-1))
  b=str(-1001)
  for i in range(W):
    if i%w==0:
      m.append(a)
    else:
      m.append(b)
  s=' '.join(m)
  for i in range(H):
    print(s)
else:
  m1=' '.join([str(1000*(h-1))]*W)
  m2=' '.join([str(-1001)]*W)
  for i in range(H):
    if i%h==0:
      print(m1)
    else:
      print(m2)