



'''simple docstring'''

class 	a__     :


	def __init__(self : str      )     ->			str:

					"""simple docstring"""

					SCREAMING_SNAKE_CASE  :						Any      					= {}


	def 				lowercase__  (self : int      )     ->			None:

					"""simple docstring"""

					print(self.vertex      )
					for i in self.vertex:
									print(__UpperCAmelCase,					''' -> ''',					''' -> '''.join([str(__UpperCAmelCase      ) for j in self.vertex[i]]      )      )


	def 				lowercase__  (self : Any,					__UpperCAmelCase : int,					__UpperCAmelCase : int      )     ->			None:

					"""simple docstring"""

					if from_vertex in self.vertex:
									self.vertex[from_vertex].append(__UpperCAmelCase      )
					else:
									# else make a new vertex
									SCREAMING_SNAKE_CASE  :						Optional[Any]      					= [to_vertex]


	def 				lowercase__  (self : List[Any]      )     ->			None:

					"""simple docstring"""

					SCREAMING_SNAKE_CASE  :						Union[str, Any]      					= [False] * len(self.vertex      )

					# call the recursive helper function
					for i in range(len(self.vertex      )      ):
									if not visited[i]:
													self.dfs_recursive(__UpperCAmelCase,					__UpperCAmelCase      )






	def 				lowercase__  (self : Optional[int],					__UpperCAmelCase : int,					__UpperCAmelCase : list      )     ->			None:

					"""simple docstring"""

					SCREAMING_SNAKE_CASE  :						Any      					= True

					print(__UpperCAmelCase,					end=''' '''      )

					# Recur for all the vertices that are adjacent to this node
					for i in self.vertex:
									if not visited[i]:
													self.dfs_recursive(__UpperCAmelCase,					__UpperCAmelCase      )


if __name__ == "__main__":
	snake_case_     :   int			=     Graph()
	g.add_edge(0, 1)
	g.add_edge(0, 2)
	g.add_edge(1, 2)
	g.add_edge(2, 0)
	g.add_edge(2, 3)
	g.add_edge(3, 3)

	g.print_graph()
	print("""DFS:""")
	g.dfs()

	# OUTPUT:
	# 0  ->  1 -> 2
	# 1  ->  2
	# 2  ->  0 -> 3
	# 3  ->  3
	# DFS:
	#  0 1 2 3









'''simple docstring'''

from random import randint
from tempfile import TemporaryFile

import numpy as np






def       __lowercase  (_SCREAMING_SNAKE_CASE      :List[str]    ,	_SCREAMING_SNAKE_CASE      :Any    ,	_SCREAMING_SNAKE_CASE      :str       ):
				SCREAMING_SNAKE_CASE  :						int      					= 0
				if start < end:
								SCREAMING_SNAKE_CASE  :						Optional[int]      					= randint(_SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE       )
								SCREAMING_SNAKE_CASE  :						List[str]      					= a[end]
								SCREAMING_SNAKE_CASE  :						List[str]      					= a[pivot]
								SCREAMING_SNAKE_CASE  :						Dict      					= temp

								SCREAMING_SNAKE_CASE					,					SCREAMING_SNAKE_CASE  :						Optional[Any]      					= _in_place_partition(_SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE       )
								count += _in_place_quick_sort(_SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE    ,	p - 1       )
								count += _in_place_quick_sort(_SCREAMING_SNAKE_CASE    ,	p + 1    ,	_SCREAMING_SNAKE_CASE       )
				return count






def       __lowercase  (_SCREAMING_SNAKE_CASE      :str    ,	_SCREAMING_SNAKE_CASE      :int    ,	_SCREAMING_SNAKE_CASE      :Optional[Any]       ):
				SCREAMING_SNAKE_CASE  :						Any      					= 0
				SCREAMING_SNAKE_CASE  :						Tuple      					= randint(_SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE       )
				SCREAMING_SNAKE_CASE  :						Union[str, Any]      					= a[end]
				SCREAMING_SNAKE_CASE  :						int      					= a[pivot]
				SCREAMING_SNAKE_CASE  :						Tuple      					= temp
				SCREAMING_SNAKE_CASE  :						Union[str, Any]      					= start - 1
				for index in range(_SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE       ):
								count += 1
								if a[index] < a[end]:  # check if current val is less than pivot value
												SCREAMING_SNAKE_CASE  :						Tuple      					= new_pivot_index + 1
												SCREAMING_SNAKE_CASE  :						Dict      					= a[new_pivot_index]
												SCREAMING_SNAKE_CASE  :						Union[str, Any]      					= a[index]
												SCREAMING_SNAKE_CASE  :						Optional[int]      					= temp

				SCREAMING_SNAKE_CASE  :						List[Any]      					= a[new_pivot_index + 1]
				SCREAMING_SNAKE_CASE  :						Any      					= a[end]
				SCREAMING_SNAKE_CASE  :						Union[str, Any]      					= temp
				return new_pivot_index + 1, count


snake_case_			=     TemporaryFile()
snake_case_			=     100  # 1000 elements are to be sorted


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


outfile.seek(0)  # using the same array
snake_case_			=     np.load(outfile)
snake_case_			=     len(M) - 1
snake_case_			=     _in_place_quick_sort(M, 0, r)

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




print(z)




