
import random


def       A       (					lowercase    ,       lowercase    ,       lowercase = False )   ->  dict:
		'''simple docstring'''

		UpperCamelCase		=     {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       A       (					lowercase )   ->  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()


def       A       (					lowercase )   ->  list:
		'''simple docstring'''

		UpperCamelCase		=     len(lowercase )
		for i in range(1    ,       lowercase ):
				UpperCamelCase		=     collection[i]
				UpperCamelCase		=     0
				UpperCamelCase		=     i - 1

				while low <= high:
						UpperCamelCase		=     (low + high) // 2
						if val < collection[mid]:
								UpperCamelCase		=     mid - 1
						else:
								UpperCamelCase		=     mid + 1
				for j in range(lowercase    ,       lowercase    ,       -1 ):
						UpperCamelCase		=     collection[j - 1]
				UpperCamelCase		=     val
		return collection


if __name__ == "__main__":
					_UpperCAmelCase					: List[Any]      =       input("Enter numbers separated by a comma:\n").strip()
					_UpperCAmelCase					: Optional[int]      =       [int(item) for item in user_input.split(",")]
					print(binary_insertion_sort(unsorted))
