



from __future__ import annotations

import os
from collections.abc import Mapping

_lowerCamelCase    :		Dict		      =    tuple[int, int]


class 						lowercase    :
						'''simple docstring'''


						def __init__(  self    :				int       ,	snake_case    :				set[int]       ,	snake_case    :				Mapping[EdgeT, int]	):



											'''simple docstring'''


											SCREAMING_SNAKE_CASE							:     set[int]						=				vertices
											SCREAMING_SNAKE_CASE							:     dict[EdgeT, int]						=				{
											    (min(snake_case	), max(snake_case	)): weight for edge, weight in edges.items()
											}







						def       lowerCamelCase_				(  self    :				Union[str, Any]       ,	snake_case    :				EdgeT       ,	snake_case    :				int	):



											'''simple docstring'''


											self.vertices.add(edge[0]	)
											self.vertices.add(edge[1]	)
											SCREAMING_SNAKE_CASE							:     Dict						=				weight







						def       lowerCamelCase_				(  self    :				str	):



											'''simple docstring'''


											SCREAMING_SNAKE_CASE							:     Graph						=				Graph({min(self.vertices	)}       ,	{}	)
											SCREAMING_SNAKE_CASE							:     EdgeT
											SCREAMING_SNAKE_CASE							:     int
											SCREAMING_SNAKE_CASE							:     EdgeT
											SCREAMING_SNAKE_CASE							:     int

											while len(subgraph.vertices	) < len(self.vertices	):
																SCREAMING_SNAKE_CASE							:     str						=				max(self.edges.values()	) + 1
																for edge, weight in self.edges.items():
																					if (edge[0] in subgraph.vertices) ^ (edge[1] in subgraph.vertices):
																										if weight < min_weight:
																															SCREAMING_SNAKE_CASE							:     Dict						=				edge
																															SCREAMING_SNAKE_CASE							:     str						=				weight

																subgraph.add_edge(snake_case       ,	snake_case	)

											return subgraph


def        __a			(   __lowerCAmelCase = "p107_network.txt"   )     ->     int:
					SCREAMING_SNAKE_CASE							:     str						=				os.path.abspath(os.path.dirname(__lowerCAmelCase   )   )
					SCREAMING_SNAKE_CASE							:     str						=				os.path.join(__lowerCAmelCase      ,	__lowerCAmelCase   )
					SCREAMING_SNAKE_CASE							:     dict[EdgeT, int]						=				{}
					SCREAMING_SNAKE_CASE							:     list[str]
					SCREAMING_SNAKE_CASE							:     int
					SCREAMING_SNAKE_CASE							:     int

					with open(__lowerCAmelCase   ) as f:
										SCREAMING_SNAKE_CASE							:     Tuple						=				f.read().strip().split('\n'   )

					SCREAMING_SNAKE_CASE							:     List[Any]						=				[line.split(','   ) for line in data]

					for edgea in range(1      ,	len(__lowerCAmelCase   )   ):
										for edgea in range(__lowerCAmelCase   ):
															if adjaceny_matrix[edgea][edgea] != "-":
																				SCREAMING_SNAKE_CASE							:     Dict						=				int(adjaceny_matrix[edgea][edgea]   )

					SCREAMING_SNAKE_CASE							:     Graph						=				Graph(set(range(len(__lowerCAmelCase   )   )   )      ,	__lowerCAmelCase   )

					SCREAMING_SNAKE_CASE							:     Graph						=				graph.prims_algorithm()

					SCREAMING_SNAKE_CASE							:     int						=				sum(graph.edges.values()   )
					SCREAMING_SNAKE_CASE							:     int						=				sum(subgraph.edges.values()   )

					return initial_total - optimal_total


if __name__ == "__main__":
			print(f"""{solution() = }""")




from __future__ import annotations

def        __a			(   __lowerCAmelCase      ,	__lowerCAmelCase = None   )     ->     list[list[str]]:
					SCREAMING_SNAKE_CASE							:     Dict						=				word_bank or []
					# create a table
					SCREAMING_SNAKE_CASE							:     int						=				len(__lowerCAmelCase   ) + 1

					SCREAMING_SNAKE_CASE							:     list[list[list[str]]]						=				[]
					for _ in range(__lowerCAmelCase   ):
										table.append([]   )
					# seed value
					SCREAMING_SNAKE_CASE							:     Tuple						=				[[]]  # because empty string has empty combination

					# iterate through the indices
					for i in range(__lowerCAmelCase   ):
										# condition
										if table[i] != []:
															for word in word_bank:
																				# slice condition
																				if target[i : i + len(__lowerCAmelCase   )] == word:
																									SCREAMING_SNAKE_CASE							:     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(__lowerCAmelCase   )] += new_combinations

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

					return table[len(__lowerCAmelCase   )]


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"""],
			    )
			)