

'''simple docstring'''






from __future__ import annotations

lowerCAmelCase__      		=			[]


def 	_A  (					A__  ,       A__  ,       A__   ):






 """simple docstring"""



 for i in range(len(A__   )   ):
  if board[row][i] == 1:
   return False
 for i in range(len(A__   )   ):
  if board[i][column] == 1:
   return False
 for i, j in zip(range(A__  ,       -1  ,       -1   )  ,       range(A__  ,       -1  ,       -1   )   ):
  if board[i][j] == 1:
   return False
 for i, j in zip(range(A__  ,       -1  ,       -1   )  ,       range(A__  ,       len(A__   )   )   ):
  if board[i][j] == 1:
   return False
 return True


def 	_A  (					A__  ,       A__   ):






 """simple docstring"""



 if row >= len(A__   ):
  solution.append(A__   )
  printboard(A__   )
  print()
  return True
 for i in range(len(A__   )   ):
  if is_safe(A__  ,       A__  ,       A__   ):
   __lowercase													=				1
   solve(A__  ,       row + 1   )
   __lowercase													=				0
 return False


def 	_A  (					A__   ):






 """simple docstring"""



 for i in range(len(A__   )   ):
  for j in range(len(A__   )   ):
   if board[i][j] == 1:
    print('''Q'''  ,       end=''' '''   )
   else:
    print('''.'''  ,       end=''' '''   )
  print()


# n=int(input("The no. of queens"))
lowerCAmelCase__      		=			8
lowerCAmelCase__      		=			[[0 for i in range(n)] for j in range(n)]
solve(board, 0)






print('''The total no. of solutions are :''', len(solution))




'''simple docstring'''






def 	_A  (					A__   ):






 """simple docstring"""



 if not nums:  # Makes sure that the list is not empty
  raise ValueError('''List is empty'''   )

 __lowercase													=				sum(A__   ) / len(A__   )  # Calculate the average
 return sum(abs(x - average   ) for x in nums   ) / len(A__   )


if __name__ == "__main__":
 import doctest

 doctest.testmod()

