





from __future__ import annotations

_lowerCamelCase   				=			[]






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






def 				SCREAMING_SNAKE_CASE__							(       UpperCamelCase__:							list[list[int]]					,   UpperCamelCase__:							int    ):
		if row >= len(UpperCamelCase__    ):
				solution.append(UpperCamelCase__    )
				printboard(UpperCamelCase__    )
				print()
				return True
		for i in range(len(UpperCamelCase__    )    ):
				if is_safe(UpperCamelCase__					,   UpperCamelCase__					,   UpperCamelCase__    ):
						SCREAMING_SNAKE_CASE__			=      1
						solve(UpperCamelCase__					,   row + 1    )
						SCREAMING_SNAKE_CASE__			=      0
		return False






def 				SCREAMING_SNAKE_CASE__							(       UpperCamelCase__:							list[list[int]]    ):
		for i in range(len(UpperCamelCase__    )    ):
				for j in range(len(UpperCamelCase__    )    ):
						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))






def 				SCREAMING_SNAKE_CASE__							(       UpperCamelCase__:							list[list[float]]    ):
		SCREAMING_SNAKE_CASE__			=      []
		for data in source_data:
				for i, el in enumerate(UpperCamelCase__    ):
						if len(UpperCamelCase__    ) < i + 1:
								data_lists.append([]    )
						data_lists[i].append(float(UpperCamelCase__    )    )
		return data_lists






def 				SCREAMING_SNAKE_CASE__							(       UpperCamelCase__:							list[list[float]]					,   UpperCamelCase__:							list[int]    ):
		SCREAMING_SNAKE_CASE__			=      []
		for dlist, weight in zip(UpperCamelCase__					,   UpperCamelCase__    ):
				SCREAMING_SNAKE_CASE__			=      min(UpperCamelCase__    )
				SCREAMING_SNAKE_CASE__			=      max(UpperCamelCase__    )

				SCREAMING_SNAKE_CASE__			=      []
				# for weight 0 score is 1 - actual score
				if weight == 0:
						for item in dlist:
								try:
										score.append(1 - ((item - mind) / (maxd - mind))    )
								except ZeroDivisionError:
										score.append(1    )

				elif weight == 1:
						for item in dlist:
								try:
										score.append((item - mind) / (maxd - mind)    )
								except ZeroDivisionError:
										score.append(0    )

        # weight not 0 or 1
				else:
						SCREAMING_SNAKE_CASE__			=      f'''Invalid weight of {weight:f} provided'''
						raise ValueError(UpperCamelCase__    )

				score_lists.append(UpperCamelCase__    )

		return score_lists






def 				SCREAMING_SNAKE_CASE__							(       UpperCamelCase__:							list[list[float]]    ):
		SCREAMING_SNAKE_CASE__			=      [0 for i in range(len(score_lists[0]    )    )]

		for slist in score_lists:
				for j, ele in enumerate(UpperCamelCase__    ):
						SCREAMING_SNAKE_CASE__			=      final_scores[j] + ele

		return final_scores






def 				SCREAMING_SNAKE_CASE__							(       UpperCamelCase__:							list[list[float]]					,   UpperCamelCase__:							list[int]    ):
		SCREAMING_SNAKE_CASE__			=      get_data(UpperCamelCase__    )
		SCREAMING_SNAKE_CASE__			=      calculate_each_score(UpperCamelCase__					,   UpperCamelCase__    )
		SCREAMING_SNAKE_CASE__			=      generate_final_scores(UpperCamelCase__    )

		# append scores to source data
		for i, ele in enumerate(UpperCamelCase__    ):
				source_data[i].append(UpperCamelCase__    )

		return source_data