






'''simple docstring'''




from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass







@dataclass
class       __lowercase					:
	_lowerCamelCase              =  42
	_lowerCamelCase              =  None
	_lowerCamelCase              =  None


lowerCAmelCase__          =						namedtuple('CoinsDistribResult', 'moves excess')







def       __UpperCAmelCase						(  lowerCamelCase_)							->     int:

		if root is None:
				return 0

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

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

		def count_coins(lowerCamelCase_) -> int:
				if node is None:
						return 0

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

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

		# Main calculation
		def get_distrib(lowerCamelCase_) -> CoinsDistribResult:

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

				UpperCamelCase__,	UpperCamelCase__				:					List[Any]					=					get_distrib(node.left)
				UpperCamelCase__,	UpperCamelCase__				:					Tuple					=					get_distrib(node.right)

				UpperCamelCase__				:					Optional[Any]					=					1 - left_distrib_excess
				UpperCamelCase__				:					Optional[int]					=					1 - right_distrib_excess

				UpperCamelCase__				:					str					=					(
				    left_distrib_moves
				    + right_distrib_moves
				    + abs(lowerCamelCase_)
				    + abs(lowerCamelCase_)
				)
				UpperCamelCase__				:					str					=					node.data - coins_to_left - coins_to_right

				return CoinsDistribResult(lowerCamelCase_     ,      lowerCamelCase_)

		return get_distrib(lowerCamelCase_)[0]


if __name__ == "__main__":
		import doctest

		doctest.testmod()












'''simple docstring'''




def       __UpperCAmelCase						(  lowerCamelCase_     ,      lowerCamelCase_)							->     list[str]:
		return [sentence[i : i + ngram_size] for i in range(len(lowerCamelCase_) - ngram_size + 1)]


if __name__ == "__main__":
		from doctest import testmod

		testmod()




