


'''simple docstring'''



def 				lowerCamelCase__				(	A       :      str				,       A       :      int					):




						'''simple docstring'''






						UpperCAmelCase					    =     [[] for _ in range(A					)]
						UpperCAmelCase					    =     key - 1

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

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

						return output_string


def 				lowerCamelCase__				(	A       :      str				,       A       :      int					):




						'''simple docstring'''






						UpperCAmelCase					    =     []
						UpperCAmelCase					    =     key - 1

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

						UpperCAmelCase					    =     [[] for _ in range(A					)]  # generates template
						for position in range(len(A					)					):
												UpperCAmelCase					    =     position % (lowest * 2)  # puts it in bounds
												UpperCAmelCase					    =     min(A				,       lowest * 2 - num					)  # creates zigzag pattern
												temp_grid[num].append('''*'''					)

						UpperCAmelCase					    =     0
						for row in temp_grid:  # fills in the characters
												UpperCAmelCase					    =     input_string[counter : counter + len(A					)]
												grid.append(list(A					)					)
												counter += len(A					)

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


def 				lowerCamelCase__				(	A       :      str					):




						'''simple docstring'''






						UpperCAmelCase					    =     {}
						for key_guess in range(1				,       len(A					)					):  # tries every key
												UpperCAmelCase					    =     decrypt(A				,       A					)
						return results


if __name__ == "__main__":
	import doctest

	doctest.testmod()









'''simple docstring'''



from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass






@dataclass
class 	UpperCamelCase__:
				__magic_name__    :				int
				__magic_name__    :				TreeNode | None  		=	None
				__magic_name__    :				TreeNode | None  		=	None







_lowercase      :      Tuple            =					namedtuple("""CoinsDistribResult""", """moves excess""")


def 				lowerCamelCase__				(	A       :      TreeNode | None					):




						'''simple docstring'''






						if root is None:
												return 0

						# Validation
						def count_nodes(A       :      TreeNode | None					) -> int:
												if node is None:
																		return 0

												return count_nodes(node.left					) + count_nodes(node.right					) + 1

						def count_coins(A       :      TreeNode | None					) -> int:
												if node is None:
																		return 0

												return count_coins(node.left					) + count_coins(node.right					) + node.data

						if count_nodes(A					) != count_coins(A					):
												raise ValueError('''The nodes number should be same as the number of coins'''					)

						# Main calculation
						def get_distrib(A       :      TreeNode | None					) -> CoinsDistribResult:

												if node is None:
																		return CoinsDistribResult(0				,       1					)

												UpperCAmelCase    ,    UpperCAmelCase					    =     get_distrib(node.left					)
												UpperCAmelCase    ,    UpperCAmelCase					    =     get_distrib(node.right					)

												UpperCAmelCase					    =     1 - left_distrib_excess
												UpperCAmelCase					    =     1 - right_distrib_excess

												UpperCAmelCase					    =     (
												    left_distrib_moves
												    + right_distrib_moves
												    + abs(A					)
												    + abs(A					)
												)
												UpperCAmelCase					    =     node.data - coins_to_left - coins_to_right

												return CoinsDistribResult(A				,       A					)

						return get_distrib(A					)[0]


if __name__ == "__main__":
	import doctest

	doctest.testmod()





