


def   _lowercase(					__a				:						list     ):
							a__      =len(__a     )
							for i in range(1    ,     __a     ):
														a__      =collection[i]
														a__      =0
														a__      =i - 1

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


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





from __future__ import annotations

_lowerCAmelCase:						str   				=       '#'




class       lowercase_					:





				def __init__(				self)  -> None:
											a__      ={}





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> None:
											a__      =self._trie
											for char in text:
																		if char not in trie:
																									a__      ={}
																		a__      =trie[char]
											a__      =True





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> tuple | list:
											a__      =self._trie
											for char in prefix:
																		if char in trie:
																									a__      =trie[char]
																		else:
																									return []
											return self._elements(lowercase_)





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> tuple:
											a__      =[]
											for c, v in d.items():
																		a__      =[' '] if c == END else [(c + s) for s in self._elements(lowercase_)]
																		result.extend(lowercase_)
											return tuple(lowercase_)







_lowerCAmelCase:						Optional[int]   				=       Trie()
_lowerCAmelCase:						List[str]   				=       ('depart', 'detergent', 'daring', 'dog', 'deer', 'deal')
for word in words:
	trie.insert_word(word)






def   _lowercase(					__a				:						str     ):
							a__      =trie.find_word(__a     )
							return tuple(string + word for word in suffixes     )






def   _lowercase(					):
							print(autocomplete_using_trie('de'     )     )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()

