




from __future__ import annotations

import os
from collections.abc import Mapping

lowerCamelCase				:		Tuple     =   tuple[int, int]







class   A:



 '''simple docstring'''


 def __init__(				self					:  List[Any]						,							A_					:  int						,							A_					:  Optional[int]  )   ->	None:

       """simple docstring"""






       lowerCamelCase_		     =    vertices
       lowerCamelCase_		     =    {
           (min(A_  ), max(A_  )): weight for edge, weight in edges.items()
       }

 def 				a__ (				self					:  Tuple						,							A_					:  List[Any]						,							A_					:  str  )   ->	None:

       """simple docstring"""






       self.vertices.add(edge[0]  )
       self.vertices.add(edge[1]  )
       lowerCamelCase_		     =    weight





 def 				a__ (				self					:  Optional[int]  )   ->	Graph:

       """simple docstring"""






       lowerCamelCase_		     =    Graph({min(self.vertices  )}						,							{}  )
       lowerCamelCase_		     =    42
       lowerCamelCase_		     =    42
       lowerCamelCase_		     =    42
       lowerCamelCase_		     =    42

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

             subgraph.add_edge(A_						,							A_  )

       return subgraph

def 			_SCREAMING_SNAKE_CASE			(							lowercase	:       Dict = "p107_network.txt"     ):


      '''simple docstring'''



      lowerCamelCase_		     =    os.path.abspath(os.path.dirname(lowercase     )     )
      lowerCamelCase_		     =    os.path.join(lowercase	,							lowercase     )
      lowerCamelCase_		     =    {}
      lowerCamelCase_		     =    42
      lowerCamelCase_		     =    42
      lowerCamelCase_		     =    42

      with open(lowercase     ) as f:
            lowerCamelCase_		     =    f.read().strip().split('\n'     )

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

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

      lowerCamelCase_		     =    Graph(set(range(len(lowercase     )     )     )	,							lowercase     )

      lowerCamelCase_		     =    graph.prims_algorithm()

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

      return initial_total - optimal_total


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





from random import randint
from tempfile import TemporaryFile

import numpy as np


def       A       (					lowercase    ,       lowercase    ,       lowercase )   ->  str:
		'''simple docstring'''

		UpperCamelCase		=     0
		if start < end:
				UpperCamelCase		=     randint(lowercase    ,       lowercase )
				UpperCamelCase		=     a[end]
				UpperCamelCase		=     a[pivot]
				UpperCamelCase		=     temp

				UpperCamelCase	,  UpperCamelCase		=     _in_place_partition(lowercase    ,       lowercase    ,       lowercase )
				count += _in_place_quick_sort(lowercase    ,       lowercase    ,       p - 1 )
				count += _in_place_quick_sort(lowercase    ,       p + 1    ,       lowercase )
		return count


def       A       (					lowercase    ,       lowercase    ,       lowercase )   ->  int:
		'''simple docstring'''

		UpperCamelCase		=     0
		UpperCamelCase		=     randint(lowercase    ,       lowercase )
		UpperCamelCase		=     a[end]
		UpperCamelCase		=     a[pivot]
		UpperCamelCase		=     temp
		UpperCamelCase		=     start - 1
		for index in range(lowercase    ,       lowercase ):
				count += 1
				if a[index] < a[end]:  # check if current val is less than pivot value
						UpperCamelCase		=     new_pivot_index + 1
						UpperCamelCase		=     a[new_pivot_index]
						UpperCamelCase		=     a[index]
						UpperCamelCase		=     temp

		UpperCamelCase		=     a[new_pivot_index + 1]
		UpperCamelCase		=     a[end]
		UpperCamelCase		=     temp
		return new_pivot_index + 1, count


_UpperCAmelCase					: Union[str, Any]      =       TemporaryFile()
_UpperCAmelCase					: List[Any]      =       100  # 1000 elements are to be sorted


_UpperCAmelCase   ,_UpperCAmelCase					: Any      =       0, 1  # mean and standard deviation
_UpperCAmelCase					: Any      =       np.random.normal(mu, sigma, p)
np.save(outfile, X)
print("The array is")
print(X)


outfile.seek(0)  # using the same array
_UpperCAmelCase					: Any      =       np.load(outfile)
_UpperCAmelCase					: str      =       len(M) - 1
_UpperCAmelCase					: List[str]      =       _in_place_quick_sort(M, 0, r)

print(
    "No of Comparisons for 100 elements selected from a standard normal distribution"
    "is :"
)


print(z)
