





"""simple docstring"""






def     __A      (			a_						:str   ,       a_						:str)		->		bool:
				__a :						Optional[int]			       =  len(a_) + 1
				__a :						Union[str, Any]			       =  len(a_) + 1

				# dp is a 2d matrix where dp[i][j] denotes whether prefix string of
				# length i of input_string matches with prefix string of length j of
				# given pattern.
				# "dp" stands for dynamic programming.
				__a :						Optional[int]			       =  [[0 for i in range(a_)] for j in range(a_)]

				# since string of zero length match pattern of zero length
				__a :						str			       =  1

				# since pattern of zero length will never match with string of non-zero length
				for i in range(1   ,       a_):
								__a :						Tuple			       =  0

				# since string of zero length will match with pattern where there
				# is at least one * alternatively
				for j in range(1   ,       a_):
								__a :						Optional[Any]			       =  dp[0][j - 2] if pattern[j - 1] == '''*''' else 0

				# now using bottom-up approach to find for all remaining lengths
				for i in range(1   ,       a_):
								for j in range(1   ,       a_):
												if input_string[i - 1] == pattern[j - 1] or pattern[j - 1] == ".":
																__a :						Dict			       =  dp[i - 1][j - 1]

												elif pattern[j - 1] == "*":
																if dp[i][j - 2] == 1:
																				__a :						Union[str, Any]			       =  1
																elif pattern[j - 2] in (input_string[i - 1], "."):
																				__a :						Tuple			       =  dp[i - 1][j]
																else:
																				__a :						Optional[int]			       =  0
												else:
																__a :						Optional[int]			       =  0

				return bool(dp[-1][-1])


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		# inputing the strings
		# input_string = input("input a string :")
		# pattern = input("input a pattern :")

		A 			=  '''aab'''
		A 			=  '''c*a*b'''

		# using function to check whether given string matches the given pattern
		if match_pattern(input_string, pattern):
				print(F'{input_string} matches the given pattern {pattern}')
		else:
				print(F'{input_string} does not match with the given pattern {pattern}')






"""simple docstring"""






from __future__ import annotations

import os
from collections.abc import Mapping

A 			=  tuple[int, int]




class 				__lowercase			:







					'''simple docstring'''




					def __init__(						self	,			_UpperCAmelCase	,			_UpperCAmelCase     ):
									__a :						set[int]			       =  vertices
									__a :						dict[EdgeT, int]			       =  {
									    (min(_UpperCAmelCase     ), max(_UpperCAmelCase     )): weight for edge, weight in edges.items()
									}







					def  _lowerCamelCase		(						self	,			_UpperCAmelCase	,			_UpperCAmelCase     ):
									self.vertices.add(edge[0]     )
									self.vertices.add(edge[1]     )
									__a :						Any			       =  weight







					def  _lowerCamelCase		(						self     ):
									__a :						Graph			       =  Graph({min(self.vertices     )}	,			{}     )
									__a :						EdgeT
									__a :						int
									__a :						EdgeT
									__a :						int

									while len(subgraph.vertices     ) < len(self.vertices     ):
													__a :						List[Any]			       =  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:
																									__a :						str			       =  edge
																									__a :						int			       =  weight

													subgraph.add_edge(_UpperCAmelCase	,			_UpperCAmelCase     )

									return subgraph






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

				with open(a_) as f:
								__a :						Any			       =  f.read().strip().split('''\n''')

				__a :						Union[str, Any]			       =  [line.split(''',''') for line in data]

				for edgea in range(1   ,       len(a_)):
								for edgea in range(a_):
												if adjaceny_matrix[edgea][edgea] != "-":
																__a :						int			       =  int(adjaceny_matrix[edgea][edgea])

				__a :						Graph			       =  Graph(set(range(len(a_)))   ,       a_)

				__a :						Graph			       =  graph.prims_algorithm()

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

				return initial_total - optimal_total


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