



"""simple docstring"""







UpperCAmelCase:  str			     =				[0.33, 0.44, 0.55, 0.44, 0.33]
UpperCAmelCase:  Optional[Any]			     =				3
UpperCAmelCase:  List[str]			     =				5

# Buffer Space (with Parameters Space)
UpperCAmelCase:  list[float]			     =				[]
UpperCAmelCase:  list[float]			     =				[]

# Machine Time
UpperCAmelCase:  Tuple			     =				0


def  __SCREAMING_SNAKE_CASE (  __UpperCAmelCase      ):
		global buffer_space, params_space, machine_time, K, m, t

		# Choosing Dynamical Systems (All)
		for key, value in enumerate(__UpperCAmelCase      ):
				# Evolution Parameter
				_lowercase				: List[Any]     =   float(seed / value      )

				# Control Theory: Orbit Change
				_lowercase				: List[str]     =   (buffer_space[(key + 1) % m] + e) % 1

				# Control Theory: Trajectory Change
				_lowercase				: int     =   (params_space[key] + e) % 1 + 3

				# Modification (Transition Function) - Jumps
				_lowercase				: Union[str, Any]     =   round(float(r * value * (1 - value)      )   ,				10      )
				_lowercase				: List[Any]     =   r  # Saving to Parameters Space

		# Logistic Map
		assert max(__UpperCAmelCase      ) < 1
		assert max(__UpperCAmelCase      ) < 4

		# Machine Time
		machine_time += 1


def  __SCREAMING_SNAKE_CASE (  ):
		global buffer_space, params_space, machine_time, K, m, t

		# PRNG (Xorshift by George Marsaglia)
		def xorshift(__UpperCAmelCase   ,				__UpperCAmelCase      ):
				x ^= y >> 13
				y ^= x << 17
				x ^= y >> 5
				return x

		# Choosing Dynamical Systems (Increment)
		_lowercase				: Optional[Any]     =   machine_time % m

		# Evolution (Time Length)
		for _ in range(0   ,				__UpperCAmelCase      ):
				# Variables (Position + Parameters)
				_lowercase				: str     =   params_space[key]
				_lowercase				: Optional[int]     =   buffer_space[key]

				# Modification (Transition Function) - Flow
				_lowercase				: Optional[Any]     =   round(float(r * value * (1 - value)      )   ,				10      )
				_lowercase				: Optional[Any]     =   (machine_time * 0.0_1 + r * 1.0_1) % 1 + 3

		# Choosing Chaotic Data
		_lowercase				: List[Any]     =   int(buffer_space[(key + 2) % m] * (10**10)      )
		_lowercase				: List[Any]     =   int(buffer_space[(key - 2) % m] * (10**10)      )

		# Machine Time
		machine_time += 1

		return xorshift(__UpperCAmelCase   ,				__UpperCAmelCase      ) % 0xff_fff_fff


def  __SCREAMING_SNAKE_CASE (  ):
		global buffer_space, params_space, machine_time, K, m, t

		_lowercase				: int     =   K
		_lowercase				: Optional[Any]     =   [0] * m
		_lowercase				: List[str]     =   0


if __name__ == "__main__":
		# Initialization
		reset()

		# Pushing Data (Input)
		import random

		UpperCAmelCase:  Any			     =				random.sample(range(0xff_ff_ff_ff), 100)
		for chunk in message:
				push(chunk)

		# for controlling
		UpperCAmelCase:  Any			     =				""""""

		# Pulling Data (Output)
		while inp in ("e", "E"):
				print(F'{format(pull(), "#04x")}')
				print(buffer_space)
				print(params_space)
				UpperCAmelCase:  List[Any]			     =				input("""(e)exit? """).strip()











'''simple docstring'''







from __future__ import annotations





def 					SCREAMING_SNAKE_CASE_			(UpperCamelCase							,     UpperCamelCase ) ->			Dict:
							lowerCamelCase__   :      List[str]			    =			0
							lowerCamelCase__   :      Tuple			    =			len(UpperCamelCase ) - 1
							while left <= right:
														lowerCamelCase__   :      List[str]			    =			(left + right) // 2
														if left == right:
																					if sorted_list[middle] < item:
																												lowerCamelCase__   :      Any			    =			middle + 1
																					break
														elif sorted_list[middle] < item:
																					lowerCamelCase__   :      Optional[Any]			    =			middle + 1
														else:
																					lowerCamelCase__   :      Dict			    =			middle - 1
							sorted_list.insert(UpperCamelCase							,     UpperCamelCase )
							return sorted_list





def 					SCREAMING_SNAKE_CASE_			(UpperCamelCase							,     UpperCamelCase ) ->			Tuple:
							lowerCamelCase__   :      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 					SCREAMING_SNAKE_CASE_			(UpperCamelCase ) ->			Any:
							lowerCamelCase__   :      Optional[Any]			    =			len(UpperCamelCase )
							if length <= 1:
														return list_ad
							lowerCamelCase__   :      Tuple			    =			length // 2
							return merge(sortlist_ad(list_ad[:middle] )							,     sortlist_ad(list_ad[middle:] ) )





def 					SCREAMING_SNAKE_CASE_			(UpperCamelCase ) ->			list[int]:

							if len(UpperCamelCase ) <= 1:
														return collection
							lowerCamelCase__   :      int			    =			[]
							lowerCamelCase__   :      int			    =			False
							for i in range(0							,     len(UpperCamelCase )							,     2 ):
														if i == len(UpperCamelCase ) - 1:
																					lowerCamelCase__   :      List[Any]			    =			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]] )
							lowerCamelCase__   :      List[Any]			    =			sortlist_ad(UpperCamelCase )
							lowerCamelCase__   :      List[Any]			    =			[i[0] for i in sorted_list_ad]
							result.append(sorted_list_ad[-1][1] )
							if has_last_odd_item:
														lowerCamelCase__   :      int			    =			collection[-1]
														lowerCamelCase__   :      str			    =			binary_search_insertion(UpperCamelCase							,     UpperCamelCase )
							lowerCamelCase__   :      Any			    =			False
							for i in range(len(UpperCamelCase ) - 1 ):
														if result[i] == collection[-1] and has_last_odd_item:
																					lowerCamelCase__   :      Any			    =			True
														lowerCamelCase__   :      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:
																					lowerCamelCase__   :      List[str]			    =			result[: i + 2] + binary_search_insertion(result[i + 2 :]							,     UpperCamelCase )
														else:
																					lowerCamelCase__   :      Dict			    =			result[: i + 1] + binary_search_insertion(result[i + 1 :]							,     UpperCamelCase )

							return result


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

