
"""simple docstring"""






from __future__ import annotations






def 						_snake_case       (	lowercase__		:  str      ,     lowercase__		:  list[str] | None = None		)  ->				list[list[str]]:


			'''simple docstring'''





			lowerCAmelCase_    :List[Any]			     =  word_bank or []
			# create a table
			lowerCAmelCase_    :int			     =  len(lowercase__		) + 1

			lowerCAmelCase_    :list[list[list[str]]]			     =  []
			for _ in range(lowercase__		):
						table.append([]		)
			# seed value
			lowerCAmelCase_    :Optional[Any]			     =  [[]]  # because empty string has empty combination

			# iterate through the indices
			for i in range(lowercase__		):
						# condition
						if table[i] != []:
									for word in word_bank:
												# slice condition
												if target[i : i + len(lowercase__		)] == word:
															lowerCAmelCase_    :list[list[str]]			     =  [
															    [word, *way] for way in table[i]
															]
															# adds the word to every combination the current position holds
															# now,push that combination to the table[i+len(word)]
															table[i + len(lowercase__		)] += new_combinations

    # combinations are in reverse order so reverse for better output
			for combination in table[len(lowercase__		)]:
						combination.reverse()

			return table[len(lowercase__		)]


if __name__ == "__main__":
				print(all_construct('jwajalapa', ['jwa', 'j', 'w', 'a', 'la', 'lapa']))
				print(all_construct('rajamati', ['s', 'raj', 'amat', 'raja', 'ma', 'i', 't']))
				print(
				    all_construct(
				        'hexagonosaurus',
				        ['h', 'ex', 'hex', 'ag', 'ago', 'ru', 'auru', 'rus', 'go', 'no', 'o', 's'],
				    )
				)












from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass





@dataclass
class     lowerCamelCase__:
      UpperCAmelCase__      :	int
      UpperCAmelCase__      :	TreeNode | None    		=   None
      UpperCAmelCase__      :	TreeNode | None    		=   None



UpperCAmelCase_									=	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	)

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

              __lowerCamelCase   =						1 - left_distrib_excess
              __lowerCamelCase   =						1 - right_distrib_excess

              __lowerCamelCase   =						(
                  left_distrib_moves
                  + right_distrib_moves
                  + abs(A__	)
                  + abs(A__	)
              )
              __lowerCamelCase   =						node.data - coins_to_left - coins_to_right

              return CoinsDistribResult(A__  ,			A__	)

       return get_distrib(A__	)[0]


if __name__ == "__main__":
       import doctest

       doctest.testmod()

