

'''simple docstring'''

from __future__ import annotations





def 				lowercase (					__magic_name__			,   __magic_name__							):



					'''simple docstring'''







					UpperCAmelCase		:							Optional[int]        =       0
					UpperCAmelCase		:							Optional[Any]        =       len(__magic_name__							) - 1
					while left <= right:
										UpperCAmelCase		:							Dict        =       (left + right) // 2
										if left == right:
															if sorted_list[middle] < item:
																				UpperCAmelCase		:							Union[str, Any]        =       middle + 1
															break
										elif sorted_list[middle] < item:
															UpperCAmelCase		:							Optional[int]        =       middle + 1
										else:
															UpperCAmelCase		:							List[Any]        =       middle - 1
					sorted_list.insert(__magic_name__			,   __magic_name__							)
					return sorted_list





def 				lowercase (					__magic_name__			,   __magic_name__							):



					'''simple docstring'''







					UpperCAmelCase		:							Optional[Any]        =       []
					while left and right:
										if left[0][0] < right[0][0]:
															result.append(left.pop(0							)							)
										else:
															result.append(right.pop(0							)							)
					return result + left + right





def 				lowercase (					__magic_name__							):



					'''simple docstring'''







					UpperCAmelCase		:							List[Any]        =       len(__magic_name__							)
					if length <= 1:
										return list_ad
					UpperCAmelCase		:							Any        =       length // 2
					return merge(sortlist_ad(list_ad[:middle]							)			,   sortlist_ad(list_ad[middle:]							)							)





def 				lowercase (					__magic_name__							):



					'''simple docstring'''







					if len(__magic_name__							) <= 1:
										return collection
					UpperCAmelCase		:							str        =       []
					UpperCAmelCase		:							List[Any]        =       False
					for i in range(0			,   len(__magic_name__							)			,   2							):
										if i == len(__magic_name__							) - 1:
															UpperCAmelCase		:							Tuple        =       True
										else:
															if collection[i] < collection[i + 1]:
																				two_paired_list.append([collection[i], collection[i + 1]]							)
															else:
																				two_paired_list.append([collection[i + 1], collection[i]]							)
					UpperCAmelCase		:							Union[str, Any]        =       sortlist_ad(__magic_name__							)
					UpperCAmelCase		:							List[Any]        =       [i[0] for i in sorted_list_ad]
					result.append(sorted_list_ad[-1][1]							)
					if has_last_odd_item:
										UpperCAmelCase		:							List[Any]        =       collection[-1]
										UpperCAmelCase		:							Dict        =       binary_search_insertion(__magic_name__			,   __magic_name__							)
					UpperCAmelCase		:							int        =       False
					for i in range(len(__magic_name__							) - 1							):
										if result[i] == collection[-1] and has_last_odd_item:
															UpperCAmelCase		:							Union[str, Any]        =       True
										UpperCAmelCase		:							Dict        =       sorted_list_ad[i][1]
										# If last_odd_item is inserted before the item's index,
										# you should forward index one more.
										if is_last_odd_item_inserted_before_this_index:
															UpperCAmelCase		:							Dict        =       result[: i + 2] + binary_search_insertion(result[i + 2 :]			,   __magic_name__							)
										else:
															UpperCAmelCase		:							str        =       result[: i + 1] + binary_search_insertion(result[i + 1 :]			,   __magic_name__							)

					return result


if __name__ == "__main__":
				a       :      Union[str, Any]  	=			input("Enter numbers separated by a comma:\n").strip()
				a       :      Tuple  	=			[int(item) for item in user_input.split(",")]
				print(merge_insertion_sort(unsorted))



'''simple docstring'''

def 				lowercase (					__magic_name__			,   __magic_name__							):



					'''simple docstring'''







					UpperCAmelCase		:							Dict        =       1.0
					for i in range(1			,   r + 1							):
										ret *= (n + 1 - i) / i
					return round(__magic_name__							)





def 				lowercase (					__magic_name__							):



					'''simple docstring'''







					return choose(8 + n			,   __magic_name__							) + choose(9 + n			,   __magic_name__							) - 10





def 				lowercase (					__magic_name__							):



					'''simple docstring'''







					return sum(non_bouncy_exact(__magic_name__							) for i in range(1			,   n + 1							)							)





def 				lowercase (					__magic_name__ = 100							):



					'''simple docstring'''







					return non_bouncy_upto(__magic_name__							)


if __name__ == "__main__":
				print(F'{solution() = }')
