def    lowerCAmelCase_  (		lowercase:				str		)     ->					list[int]:







 '''simple docstring'''
 _UpperCamelCase:  List[Any]    						=			[0 for i in range(len(lowercase		)		)]

 # initialize interval's left pointer and right pointer
 _UpperCamelCase						,				_UpperCamelCase:  Optional[Any]    						=			0, 0

 for i in range(1	,       len(lowercase		)		):
  # case when current index is inside the interval
  if i <= right_pointer:
   _UpperCamelCase:  Tuple    						=			min(right_pointer - i + 1	,       z_result[i - left_pointer]		)
   _UpperCamelCase:  Tuple    						=			min_edge

  while go_next(lowercase	,       lowercase	,       lowercase		):
   z_result[i] += 1

  # if new index's result gives us more right interval,
  # we've to update left_pointer and right_pointer
  if i + z_result[i] - 1 > right_pointer:
   _UpperCamelCase						,				_UpperCamelCase:  Dict    						=			i, i + z_result[i] - 1

 return z_result




def    lowerCAmelCase_  (		lowercase:				int	,       lowercase:				list[int]	,       lowercase:				str		)     ->					bool:







 '''simple docstring'''
 return i + z_result[i] < len(lowercase		) and s[z_result[i]] == s[i + z_result[i]]




def    lowerCAmelCase_  (		lowercase:				str	,       lowercase:				str		)     ->					int:







 '''simple docstring'''
 _UpperCamelCase:  List[str]    						=			0
 # concatenate 'pattern' and 'input_str' and call z_function
 # with concatenated string
 _UpperCamelCase:  Tuple    						=			z_function(pattern + input_str		)

 for val in z_result:
  # if value is greater then length of the pattern string
  # that means this index is starting position of substring
  # which is equal to pattern string
  if val >= len(lowercase		):
   answer += 1

 return answer


if __name__ == "__main__":
  import doctest

  doctest.testmod()
import random




def    lowerCAmelCase_  (		lowercase:				int	,       lowercase:				float	,       lowercase:				bool = False		)     ->					dict:







 '''simple docstring'''
 _UpperCamelCase:  dict    						=			{i: [] for i in range(lowercase		)}

 # if probability is greater or equal than 1, then generate a complete graph
 if probability >= 1:
  return complete_graph(lowercase		)
 # 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(lowercase		):
  for j in range(i + 1	,       lowercase		):
   if random.random() < probability:
    graph[i].append(lowercase		)
    if not directed:
     # if the graph is undirected, add an edge in from j to i, either
     graph[j].append(lowercase		)
 return graph




def    lowerCAmelCase_  (		lowercase:				int		)     ->					dict:







 '''simple docstring'''
 return {
     i: [j for j in range(lowercase		) if i != j] for i in range(lowercase		)
 }


if __name__ == "__main__":
  import doctest

  doctest.testmod()