





from __future__ import annotations






def 					SCREAMING_SNAKE_CASE__				(							UpperCamelCase__:				list[int | str]     ):
		create_state_space_tree(UpperCamelCase__       , []       , 0       , [0 for i in range(len(UpperCamelCase__     )     )]     )






def 					SCREAMING_SNAKE_CASE__				(							UpperCamelCase__:				list[int | str]       , UpperCamelCase__:				list[int | str]       , UpperCamelCase__:				int       , UpperCamelCase__:				list[int]       , ):

		if index == len(UpperCamelCase__     ):
				print(UpperCamelCase__     )
				return

		for i in range(len(UpperCamelCase__     )     ):
				if not index_used[i]:
						current_sequence.append(sequence[i]     )
						SCREAMING_SNAKE_CASE__								=   True
						create_state_space_tree(UpperCamelCase__       , UpperCamelCase__       , index + 1       , UpperCamelCase__     )
						current_sequence.pop()
						SCREAMING_SNAKE_CASE__								=   False
_lowerCamelCase 					=      [3, 1, 2, 4]
generate_all_permutations(sequence)

_lowerCamelCase 					=      ["A", "B", "C"]

generate_all_permutations(sequence_a)
'''simple docstring'''







def    lowerCamelCase       (			UpperCAmelCase__				:  str				,						UpperCAmelCase__				:  int		)			->	str:


							'''simple docstring'''






							SCREAMING_SNAKE_CASE__     :list[list[str]]						    = [[] for _ in range(UpperCAmelCase__		)]
							SCREAMING_SNAKE_CASE__     :Any						    = key - 1

							if key <= 0:
														raise ValueError('Height of grid can\'t be 0 or negative'		)
							if key == 1 or len(UpperCAmelCase__		) <= key:
														return input_string

							for position, character in enumerate(UpperCAmelCase__		):
														SCREAMING_SNAKE_CASE__     :Dict						    = position % (lowest * 2)  # puts it in bounds
														SCREAMING_SNAKE_CASE__     :Tuple						    = min(UpperCAmelCase__				,						lowest * 2 - num		)  # creates zigzag pattern
														temp_grid[num].append(UpperCAmelCase__		)
							SCREAMING_SNAKE_CASE__     :int						    = [''.join(UpperCAmelCase__		) for row in temp_grid]
							SCREAMING_SNAKE_CASE__     :str						    = ''.join(UpperCAmelCase__		)

							return output_string


def    lowerCamelCase       (			UpperCAmelCase__				:  str				,						UpperCAmelCase__				:  int		)			->	str:


							'''simple docstring'''






							SCREAMING_SNAKE_CASE__     :List[Any]						    = []
							SCREAMING_SNAKE_CASE__     :str						    = key - 1

							if key <= 0:
														raise ValueError('Height of grid can\'t be 0 or negative'		)
							if key == 1:
														return input_string

							SCREAMING_SNAKE_CASE__     :list[list[str]]						    = [[] for _ in range(UpperCAmelCase__		)]  # generates template
							for position in range(len(UpperCAmelCase__		)		):
														SCREAMING_SNAKE_CASE__     :Optional[int]						    = position % (lowest * 2)  # puts it in bounds
														SCREAMING_SNAKE_CASE__     :Dict						    = min(UpperCAmelCase__				,						lowest * 2 - num		)  # creates zigzag pattern
														temp_grid[num].append('*'		)

							SCREAMING_SNAKE_CASE__     :Any						    = 0
							for row in temp_grid:  # fills in the characters
														SCREAMING_SNAKE_CASE__     :int						    = input_string[counter : counter + len(UpperCAmelCase__		)]
														grid.append(list(UpperCAmelCase__		)		)
														counter += len(UpperCAmelCase__		)

							SCREAMING_SNAKE_CASE__     :Tuple						    = ''  # reads as zigzag
							for position in range(len(UpperCAmelCase__		)		):
														SCREAMING_SNAKE_CASE__     :Union[str, Any]						    = position % (lowest * 2)  # puts it in bounds
														SCREAMING_SNAKE_CASE__     :Any						    = min(UpperCAmelCase__				,						lowest * 2 - num		)  # creates zigzag pattern
														output_string += grid[num][0]
														grid[num].pop(0		)
							return output_string


def    lowerCamelCase       (			UpperCAmelCase__				:  str		)			->	dict[int, str]:


							'''simple docstring'''






							SCREAMING_SNAKE_CASE__     :int						    = {}
							for key_guess in range(1				,						len(UpperCAmelCase__		)		):  # tries every key
														SCREAMING_SNAKE_CASE__     :List[str]						    = decrypt(UpperCAmelCase__				,						UpperCAmelCase__		)
							return results


if __name__ == "__main__":
		import doctest

		doctest.testmod()






