

from __future__ import annotations


def        __lowerCAmelCase    (       _UpperCamelCase		:  str		,							_UpperCamelCase		:  List[Any]		,							_UpperCamelCase		:  Dict		,							_UpperCamelCase		:  str	)		->							Union[str, Any]:  # noqa: E741
 '''simple docstring'''


 while r - l > 1:
  SCREAMING_SNAKE_CASE								=			(l + r) // 2
  if v[m] >= key:
   SCREAMING_SNAKE_CASE								=			m
  else:
   SCREAMING_SNAKE_CASE								=			m  # noqa: E741
 return r


def        __lowerCAmelCase    (       _UpperCamelCase		:  list[int]	)		->							int:
 '''simple docstring'''


 if len(_UpperCamelCase	) == 0:
  return 0

 SCREAMING_SNAKE_CASE								=			[0] * len(_UpperCamelCase	)
 SCREAMING_SNAKE_CASE								=			1

 SCREAMING_SNAKE_CASE								=			v[0]

 for i in range(1		,							len(_UpperCamelCase	)	):
  if v[i] < tail[0]:
   SCREAMING_SNAKE_CASE								=			v[i]
  elif v[i] > tail[length - 1]:
   SCREAMING_SNAKE_CASE								=			v[i]
   length += 1
  else:
   SCREAMING_SNAKE_CASE								=			v[i]

 return length


if __name__ == "__main__":
      import doctest

      doctest.testmod()




import random


def        __lowerCAmelCase    (       _UpperCamelCase		:  int		,							_UpperCamelCase		:  float		,							_UpperCamelCase		:  bool = False	)		->							dict:
 '''simple docstring'''


 SCREAMING_SNAKE_CASE								=			{i: [] for i in range(_UpperCamelCase	)}

 # if probability is greater or equal than 1, then generate a complete graph
 if probability >= 1:
  return complete_graph(_UpperCamelCase	)
 # if probability is lower or equal than 0, then return a graph without edges
 if probability <= 0:
  return graph

 # for each couple of nodes, add an edge from u to v
 # if the number randomly generated is greater than probability probability
 for i in range(_UpperCamelCase	):
  for j in range(i + 1		,							_UpperCamelCase	):
   if random.random() < probability:
    graph[i].append(_UpperCamelCase	)
    if not directed:
     # if the graph is undirected, add an edge in from j to i, either
     graph[j].append(_UpperCamelCase	)
 return graph


def        __lowerCAmelCase    (       _UpperCamelCase		:  int	)		->							dict:
 '''simple docstring'''


 return {
     i: [j for j in range(_UpperCamelCase	) if i != j] for i in range(_UpperCamelCase	)
 }


if __name__ == "__main__":
      import doctest

      doctest.testmod()

