
from __future__ import annotations

import os
from collections.abc import Mapping

lowerCamelCase_  :	Optional[Any] 				=					tuple[int, int]

class     _UpperCamelCase			:






			'''simple docstring'''

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

			def  lowerCAmelCase__		(    self	:    Dict  ,		snake_case_	:    EdgeT  ,		snake_case_	:    int ):
							self.vertices.add(edge[0] )
							self.vertices.add(edge[1] )
							UpperCamelCase_:							Tuple		=  weight




			def  lowerCAmelCase__		(    self	:    str ):
							UpperCamelCase_:							Graph		=  Graph({min(self.vertices )}  ,		{} )
							UpperCamelCase_:							EdgeT
							UpperCamelCase_:							int
							UpperCamelCase_:							EdgeT
							UpperCamelCase_:							int

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

											subgraph.add_edge(snake_case_  ,		snake_case_ )

							return subgraph







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

				with open(lowerCamelCase  ) as f:
								UpperCamelCase_:							Union[str, Any]		=  f.read().strip().split("""\n"""  )

				UpperCamelCase_:							Tuple		=  [line.split(""","""  ) for line in data]

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

				UpperCamelCase_:							Graph		=  Graph(set(range(len(lowerCamelCase  )  )  )       ,      lowerCamelCase  )

				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 datasets.utils.patching import _PatchedModuleObj, patch_submodule

from . import _test_patching







def     A__   (  )					->		Union[str, Any]:
				import os as original_os
				from os import path as original_path
				from os import rename as original_rename
				from os.path import dirname as original_dirname
				from os.path import join as original_join

				assert _test_patching.os is original_os
				assert _test_patching.path is original_path
				assert _test_patching.join is original_join

				assert _test_patching.renamed_os is original_os
				assert _test_patching.renamed_path is original_path
				assert _test_patching.renamed_join is original_join

				UpperCamelCase_:							Optional[int]		=  """__test_patch_submodule_mock__"""
				with patch_submodule(_test_patching       ,      """os.path.join"""       ,      lowerCamelCase  ):
								# Every way to access os.path.join must be patched, and the rest must stay untouched

								# check os.path.join
								assert isinstance(_test_patching.os       ,      _PatchedModuleObj  )
								assert isinstance(_test_patching.os.path       ,      _PatchedModuleObj  )
								assert _test_patching.os.path.join is mock

								# check path.join
								assert isinstance(_test_patching.path       ,      _PatchedModuleObj  )
								assert _test_patching.path.join is mock

								# check join
								assert _test_patching.join is mock

								# check that the other attributes are untouched
								assert _test_patching.os.rename is original_rename
								assert _test_patching.path.dirname is original_dirname
								assert _test_patching.os.path.dirname is original_dirname

								# Even renamed modules or objects must be patched

								# check renamed_os.path.join
								assert isinstance(_test_patching.renamed_os       ,      _PatchedModuleObj  )
								assert isinstance(_test_patching.renamed_os.path       ,      _PatchedModuleObj  )
								assert _test_patching.renamed_os.path.join is mock

								# check renamed_path.join
								assert isinstance(_test_patching.renamed_path       ,      _PatchedModuleObj  )
								assert _test_patching.renamed_path.join is mock

								# check renamed_join
								assert _test_patching.renamed_join is mock

								# check that the other attributes are untouched
								assert _test_patching.renamed_os.rename is original_rename
								assert _test_patching.renamed_path.dirname is original_dirname
								assert _test_patching.renamed_os.path.dirname is original_dirname

				# check that everthing is back to normal when the patch is over

				assert _test_patching.os is original_os
				assert _test_patching.path is original_path
				assert _test_patching.join is original_join

				assert _test_patching.renamed_os is original_os
				assert _test_patching.renamed_path is original_path
				assert _test_patching.renamed_join is original_join







def     A__   (  )					->		Union[str, Any]:
				assert _test_patching.open is open

				UpperCamelCase_:							List[Any]		=  """__test_patch_submodule_builtin_mock__"""
				# _test_patching has "open" in its globals
				assert _test_patching.open is open
				with patch_submodule(_test_patching       ,      """open"""       ,      lowerCamelCase  ):
								assert _test_patching.open is mock

				# check that everthing is back to normal when the patch is over

				assert _test_patching.open is open







def     A__   (  )					->		Optional[Any]:
				# pandas.read_csv is not present in _test_patching
				UpperCamelCase_:							Optional[Any]		=  """__test_patch_submodule_missing_mock__"""
				with patch_submodule(_test_patching       ,      """pandas.read_csv"""       ,      lowerCamelCase  ):
								pass







def     A__   (  )					->		Any:
				# builtin should always be mocked even if they're not in the globals
				# in case they're loaded at one point
				UpperCamelCase_:							List[Any]		=  """__test_patch_submodule_missing_builtin_mock__"""
				# _test_patching doesn't have "len" in its globals
				assert getattr(_test_patching       ,      """len"""       ,      lowerCamelCase  ) is None
				with patch_submodule(_test_patching       ,      """len"""       ,      lowerCamelCase  ):
								assert _test_patching.len is mock
				assert _test_patching.len is len







def     A__   (  )					->		Any:
				UpperCamelCase_:							Dict		=  """__test_patch_submodule_start_and_stop_mock__"""
				UpperCamelCase_:							List[str]		=  patch_submodule(_test_patching       ,      """open"""       ,      lowerCamelCase  )
				assert _test_patching.open is open
				patch.start()
				assert _test_patching.open is mock
				patch.stop()
				assert _test_patching.open is open







def     A__   (  )					->		List[str]:
				from os import rename as original_rename
				from os.path import dirname as original_dirname
				from os.path import join as original_join

				UpperCamelCase_:							Optional[Any]		=  """__test_patch_submodule_successive_join__"""
				UpperCamelCase_:							Any		=  """__test_patch_submodule_successive_dirname__"""
				UpperCamelCase_:							Dict		=  """__test_patch_submodule_successive_rename__"""
				assert _test_patching.os.path.join is original_join
				assert _test_patching.os.path.dirname is original_dirname
				assert _test_patching.os.rename is original_rename

				with patch_submodule(_test_patching       ,      """os.path.join"""       ,      lowerCamelCase  ):
								with patch_submodule(_test_patching       ,      """os.rename"""       ,      lowerCamelCase  ):
												with patch_submodule(_test_patching       ,      """os.path.dirname"""       ,      lowerCamelCase  ):
																assert _test_patching.os.path.join is mock_join
																assert _test_patching.os.path.dirname is mock_dirname
																assert _test_patching.os.rename is mock_rename

    # try another order
				with patch_submodule(_test_patching       ,      """os.rename"""       ,      lowerCamelCase  ):
								with patch_submodule(_test_patching       ,      """os.path.join"""       ,      lowerCamelCase  ):
												with patch_submodule(_test_patching       ,      """os.path.dirname"""       ,      lowerCamelCase  ):
																assert _test_patching.os.path.join is mock_join
																assert _test_patching.os.path.dirname is mock_dirname
																assert _test_patching.os.rename is mock_rename

				assert _test_patching.os.path.join is original_join
				assert _test_patching.os.path.dirname is original_dirname
				assert _test_patching.os.rename is original_rename







def     A__   (  )					->		Union[str, Any]:
				UpperCamelCase_:							Dict		=  """__test_patch_submodule_doesnt_exist_mock__"""
				with patch_submodule(_test_patching       ,      """__module_that_doesn_exist__.__attribute_that_doesn_exist__"""       ,      lowerCamelCase  ):
								pass
				with patch_submodule(_test_patching       ,      """os.__attribute_that_doesn_exist__"""       ,      lowerCamelCase  ):
								pass






