




# Lint as: python3
import itertools
import os
import re


_lowerCamelCase      			=						re.compile(r'([A-Z]+)([A-Z][a-z])')
_lowerCamelCase      			=						re.compile(r'([a-z\d])([A-Z])')

_lowerCamelCase      			=						re.compile(r'(?<!_)_(?!_)')
_lowerCamelCase      			=						re.compile(r'(_{2,})')

_lowerCamelCase      			=						r'^\w+(\.\w+)*$'

_lowerCamelCase      			=						r'<>:/\|?*'




def  SCREAMING_SNAKE_CASE     (	__UpperCamelCase      :						Union[str, Any]				)  ->							List[str]:
    UpperCAmelCase_										=					_uppercase_uppercase_re.sub(R'''\1_\2'''	,					__UpperCamelCase				)
    UpperCAmelCase_										=					_lowercase_uppercase_re.sub(R'''\1_\2'''	,					__UpperCamelCase				)
    return name.lower()




def  SCREAMING_SNAKE_CASE     (	__UpperCamelCase      :						Optional[int]				)  ->							Tuple:
    UpperCAmelCase_										=					_single_underscore_re.split(__UpperCamelCase				)
    UpperCAmelCase_										=					[_multiple_underscores_re.split(__UpperCamelCase				) for n in name]
    return "".join(n.capitalize() for n in itertools.chain.from_iterable(__UpperCamelCase				) if n != ''''''				)




def  SCREAMING_SNAKE_CASE     (	__UpperCamelCase      :						List[Any]				)  ->							Dict:
    if os.path.basename(__UpperCamelCase				) != name:
        raise ValueError(f'Should be a dataset name, not a path: {name}'				)
    return camelcase_to_snakecase(__UpperCamelCase				)




def  SCREAMING_SNAKE_CASE     (	__UpperCamelCase      :						str	,					__UpperCamelCase      :						List[str]				)  ->							int:
    if os.path.basename(__UpperCamelCase				) != name:
        raise ValueError(f'Should be a dataset name, not a path: {name}'				)
    if not re.match(_split_re	,					__UpperCamelCase				):
        raise ValueError(f'Split name should match \'{_split_re}\'\' but got \'{split}\'.'				)
    return f'{filename_prefix_for_name(__UpperCamelCase				)}-{split}'




def  SCREAMING_SNAKE_CASE     (	__UpperCamelCase      :						Union[str, Any]	,					__UpperCamelCase      :						List[Any]	,					__UpperCamelCase      :						List[Any]	,					__UpperCamelCase      :						Dict=None				)  ->							Dict:
    UpperCAmelCase_										=					filename_prefix_for_split(__UpperCamelCase	,					__UpperCamelCase				)
    if filetype_suffix:
        prefix += f'.{filetype_suffix}'
    UpperCAmelCase_										=					os.path.join(__UpperCamelCase	,					__UpperCamelCase				)
    return f'{filepath}*'




def  SCREAMING_SNAKE_CASE     (	__UpperCamelCase      :						int	,					__UpperCamelCase      :						Optional[int]	,					__UpperCamelCase      :						Tuple	,					__UpperCamelCase      :						List[str]=None	,					__UpperCamelCase      :						Any=None				)  ->							Optional[int]:
    UpperCAmelCase_										=					filename_prefix_for_split(__UpperCamelCase	,					__UpperCamelCase				)
    UpperCAmelCase_										=					os.path.join(__UpperCamelCase	,					__UpperCamelCase				)

    if shard_lengths:
        UpperCAmelCase_										=					len(__UpperCamelCase				)
        UpperCAmelCase_										=					[f'{prefix}-{shard_id:05d}-of-{num_shards:05d}' for shard_id in range(__UpperCamelCase				)]
        if filetype_suffix:
            UpperCAmelCase_										=					[filename + f'.{filetype_suffix}' for filename in filenames]
        return filenames
    else:
        UpperCAmelCase_										=					prefix
        if filetype_suffix:
            filename += f'.{filetype_suffix}'
        return [filename]











from __future__ import annotations

import os
from collections.abc import Mapping

_lowerCamelCase      			=						tuple[int, int]



class       a					:

     '''simple docstring'''





     def __init__(     self       :      str ,   __snake_case       :      set[int] ,   __snake_case       :      Mapping[EdgeT, int]    ):
         UpperCAmelCase_										=					vertices
         UpperCAmelCase_										=					{
             (min(__snake_case    ), max(__snake_case    )): weight for edge, weight in edges.items()
         }
     def   lowerCamelCase_       (     self       :      Any ,   __snake_case       :      EdgeT ,   __snake_case       :      int    ):
         self.vertices.add(edge[0]    )
         self.vertices.add(edge[1]    )
         UpperCAmelCase_										=					weight




     def   lowerCamelCase_       (     self       :      Union[str, Any]    ):
         UpperCAmelCase_										=					Graph({min(self.vertices    )} ,   {}    )
         UpperCAmelCase_										=					42
         UpperCAmelCase_										=					42
         UpperCAmelCase_										=					42
         UpperCAmelCase_										=					42

         while len(subgraph.vertices    ) < len(self.vertices    ):
             UpperCAmelCase_										=					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_										=					edge
                         UpperCAmelCase_										=					weight

             subgraph.add_edge(__snake_case ,   __snake_case    )

         return subgraph




def  SCREAMING_SNAKE_CASE     (	__UpperCamelCase      :						str = "p107_network.txt"				)  ->							int:
    UpperCAmelCase_										=					os.path.abspath(os.path.dirname(__UpperCamelCase				)				)
    UpperCAmelCase_										=					os.path.join(__UpperCamelCase	,					__UpperCamelCase				)
    UpperCAmelCase_										=					{}
    UpperCAmelCase_										=					42
    UpperCAmelCase_										=					42
    UpperCAmelCase_										=					42

    with open(__UpperCamelCase				) as f:
        UpperCAmelCase_										=					f.read().strip().split('''\n'''				)

    UpperCAmelCase_										=					[line.split(''','''				) for line in data]

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

    UpperCAmelCase_										=					Graph(set(range(len(__UpperCamelCase				)				)				)	,					__UpperCamelCase				)

    UpperCAmelCase_										=					graph.prims_algorithm()

    UpperCAmelCase_										=					sum(graph.edges.values()				)
    UpperCAmelCase_										=					sum(subgraph.edges.values()				)

    return initial_total - optimal_total


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





