





def   lowerCamelCase__       (       UpperCamelCase__     :    str  )     ->	list:



					'''simple docstring'''




					_snake_case													=			[0] * len(UpperCamelCase__  )

					for i in range(1    ,      len(UpperCamelCase__  )  ):
										# use last results for better performance - dynamic programming
										_snake_case													=			prefix_result[i - 1]
										while j > 0 and input_string[i] != input_string[j]:
															_snake_case													=			prefix_result[j - 1]

										if input_string[i] == input_string[j]:
															j += 1
										_snake_case													=			j

					return prefix_result





def   lowerCamelCase__       (       UpperCamelCase__     :    str  )     ->	int:



					'''simple docstring'''




					return max(prefix_function(UpperCamelCase__  )  )


if __name__ == "__main__":
					import doctest

					doctest.testmod()










import random





def   lowerCamelCase__       (       UpperCamelCase__     :    int    ,      UpperCamelCase__     :    float    ,      UpperCamelCase__     :    bool = False  )     ->	dict:



					'''simple docstring'''




					_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()



