





from __future__ import annotations

import os
from collections.abc import Mapping

UpperCAmelCase_  							=				tuple[int, int]






class 					lowercase__ :

   '''simple docstring'''


   def __init__(					self,	__magic_name__,	__magic_name__							)				->   None:






       """simple docstring"""
       UpperCamelCase__							:       set[int]      =   vertices
       UpperCamelCase__							:       dict[EdgeT, int]      =   {
           (min(__magic_name__							), max(__magic_name__							)): weight for edge, weight in edges.items()
       }




   def    UpperCamelCase__						(					self,	__magic_name__,	__magic_name__							)				->   None:






       """simple docstring"""
       self.vertices.add(edge[0]							)
       self.vertices.add(edge[1]							)
       UpperCamelCase__							:       Union[str, Any]      =   weight




   def    UpperCamelCase__						(					self							)				->   Graph:






       """simple docstring"""
       UpperCamelCase__							:       Graph      =   Graph({min(self.vertices							)},	{}							)
       UpperCamelCase__							:       EdgeT
       UpperCamelCase__							:       int
       UpperCamelCase__							:       EdgeT
       UpperCamelCase__							:       int

       while len(subgraph.vertices							) < len(self.vertices							):
           UpperCamelCase__							:       Union[str, 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:
                       UpperCamelCase__							:       int      =   edge
                       UpperCamelCase__							:       Optional[Any]      =   weight

           subgraph.add_edge(__magic_name__,	__magic_name__							)

       return subgraph




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

    with open(__UpperCAmelCase   ) as f:
        UpperCamelCase__							:       Optional[Any]      =   f.read().strip().split('''\n'''   )

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

    for edgea in range(1	,     len(__UpperCAmelCase   )   ):
        for edgea in range(__UpperCAmelCase   ):
            if adjaceny_matrix[edgea][edgea] != "-":
                UpperCamelCase__							:       Optional[Any]      =   int(adjaceny_matrix[edgea][edgea]   )

    UpperCamelCase__							:       Graph      =   Graph(set(range(len(__UpperCAmelCase   )   )   )	,     __UpperCAmelCase   )

    UpperCamelCase__							:       Graph      =   graph.prims_algorithm()

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

    return initial_total - optimal_total


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








from __future__ import annotations




def 	lowerCAmelCase_					(						__UpperCAmelCase:    str	,     __UpperCAmelCase:    str   )   ->			bool:
    UpperCamelCase__							:       List[str]      =   get_failure_array(__UpperCAmelCase   )

    # 2) Step through text searching for pattern
    UpperCamelCase__     ,UpperCamelCase__							:       Dict      =   0, 0  # index into text, pattern
    while i < len(__UpperCAmelCase   ):
        if pattern[j] == text[i]:
            if j == (len(__UpperCAmelCase   ) - 1):
                return True
            j += 1

        # if this is a prefix in our pattern
        # just go back far enough to continue
        elif j > 0:
            UpperCamelCase__							:       Optional[int]      =   failure[j - 1]
            continue
        i += 1
    return False




def 	lowerCAmelCase_					(						__UpperCAmelCase:    str   )   ->			list[int]:
    UpperCamelCase__							:       Union[str, Any]      =   [0]
    UpperCamelCase__							:       Tuple      =   0
    UpperCamelCase__							:       Tuple      =   1
    while j < len(__UpperCAmelCase   ):
        if pattern[i] == pattern[j]:
            i += 1
        elif i > 0:
            UpperCamelCase__							:       str      =   failure[i - 1]
            continue
        j += 1
        failure.append(__UpperCAmelCase   )
    return failure


if __name__ == "__main__":
  # Test 1)
  UpperCAmelCase_  							=				'abc1abc12'
  UpperCAmelCase_  							=				'alskfjaldsabc1abc1abc12k23adsfabcabc'
  UpperCAmelCase_  							=				'alskfjaldsk23adsfabcabc'
  assert kmp(pattern, texta) and not kmp(pattern, texta)

  # Test 2)
  UpperCAmelCase_  							=				'ABABX'
  UpperCAmelCase_  							=				'ABABZABABYABABX'
  assert kmp(pattern, text)

  # Test 3)
  UpperCAmelCase_  							=				'AAAB'
  UpperCAmelCase_  							=				'ABAAAAAB'
  assert kmp(pattern, text)

  # Test 4)
  UpperCAmelCase_  							=				'abcdabcy'
  UpperCAmelCase_  							=				'abcxabcdabxabcdabcdabcy'
  assert kmp(pattern, text)

  # Test 5)
  UpperCAmelCase_  							=				'aabaabaaa'
  assert get_failure_array(pattern) == [0, 1, 0, 1, 2, 3, 4, 5, 2]

