


def     lowerCAmelCase_					( __lowerCamelCase							,     __lowerCamelCase     ):
							if number < 0 or shift_amount < 0:
														raise ValueError("both inputs must be positive integers"     )

							__snake_case		:      List[Any]										=       str(bin(__lowerCamelCase     )     )
							binary_number += "0" * shift_amount
							return binary_number







def     lowerCAmelCase_					( __lowerCamelCase							,     __lowerCamelCase     ):
							if number < 0 or shift_amount < 0:
														raise ValueError("both inputs must be positive integers"     )

							__snake_case		:      int										=       str(bin(__lowerCamelCase     )     )[2:]
							if shift_amount >= len(__lowerCamelCase     ):
														return "0b0"
							__snake_case		:      Optional[int]										=       binary_number[: len(__lowerCamelCase     ) - shift_amount]
							return "0b" + shifted_binary_number







def     lowerCAmelCase_					( __lowerCamelCase							,     __lowerCamelCase     ):
							if number >= 0:  # Get binary representation of positive number
														__snake_case		:      int										=       "0" + str(bin(__lowerCamelCase     )     ).strip("-"     )[2:]
							else:  # Get binary (2's complement) representation of negative number
														__snake_case		:      str										=       len(bin(__lowerCamelCase     )[3:]     )  # Find 2's complement of number
														__snake_case		:      str										=       bin(abs(__lowerCamelCase     ) - (1 << binary_number_length)     )[3:]
														__snake_case		:      Optional[int]										=       (
														    "1" + "0" * (binary_number_length - len(__lowerCamelCase     )) + binary_number
														)

							if shift_amount >= len(__lowerCamelCase     ):
														return "0b" + binary_number[0] * len(__lowerCamelCase     )
							return (
							    "0b"
							    + binary_number[0] * shift_amount
							    + binary_number[: len(__lowerCamelCase     ) - shift_amount]
							)


if __name__ == "__main__":
			import doctest

			doctest.testmod()





from __future__ import annotations

_snake_case					:		Union[str, Any]      =    []







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







def     lowerCAmelCase_					( __lowerCamelCase							,     __lowerCamelCase     ):
							if row >= len(__lowerCamelCase     ):
														solution.append(__lowerCamelCase     )
														printboard(__lowerCamelCase     )
														print()
														return True
							for i in range(len(__lowerCamelCase     )     ):
														if is_safe(__lowerCamelCase							,     __lowerCamelCase							,     __lowerCamelCase     ):
																					__snake_case		:      Optional[Any]										=       1
																					solve(__lowerCamelCase							,     row + 1     )
																					__snake_case		:      Union[str, Any]										=       0
							return False







def     lowerCAmelCase_					( __lowerCamelCase     ):
							for i in range(len(__lowerCamelCase     )     ):
														for j in range(len(__lowerCamelCase     )     ):
																					if board[i][j] == 1:
																												print("Q"							,     end=" "     )
																					else:
																												print("."							,     end=" "     )
														print()


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

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

