
'''simple docstring'''





from __future__ import annotations

_SCREAMING_SNAKE_CASE							:       str						=			[]


def 					UpperCamelCase_(     snake_case							:	list[list[int]]							,    snake_case							:	int							,    snake_case							:	int					):

							'''simple docstring'''






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


def 					UpperCamelCase_(     snake_case							:	list[list[int]]							,    snake_case							:	int					):

							'''simple docstring'''






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


def 					UpperCamelCase_(     snake_case							:	list[list[int]]					):

							'''simple docstring'''






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


# n=int(input("The no. of queens"))
_SCREAMING_SNAKE_CASE							:       Tuple						=			8
_SCREAMING_SNAKE_CASE							:       Tuple						=			[[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 					UpperCamelCase_(     snake_case							:	list[int]							,    snake_case							:	int					):

							'''simple docstring'''






							snake_case_      =				len(snake_case					)
							snake_case_      =				[[False] * (required_sum + 1) for _ in range(arr_len + 1					)]

							# for each arr value, a sum of zero(0) can be formed by not taking any element
							# hence True/1
							for i in range(arr_len + 1					):
														snake_case_      =				True

							# sum is not zero and set is empty then false
							for i in range(1							,    required_sum + 1					):
														snake_case_      =				False

							for i in range(1							,    arr_len + 1					):
														for j in range(1							,    required_sum + 1					):
																					if arr[i - 1] > j:
																												snake_case_      =				subset[i - 1][j]
																					if arr[i - 1] <= j:
																												snake_case_      =				subset[i - 1][j] or subset[i - 1][j - arr[i - 1]]

							return subset[arr_len][required_sum]


if __name__ == "__main__":
		import doctest

		doctest.testmod()




