



A__						:						List[Any]          =      [0.3_3, 0.4_4, 0.5_5, 0.4_4, 0.3_3]
A__						:						str          =      3
A__						:						str          =      5

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

# Machine Time
A__						:						List[str]          =      0


def     UpperCamelCase(						__UpperCamelCase							:	str				):
		global buffer_space, params_space, machine_time, K, m, t

		# Choosing Dynamical Systems (All)
		for key, value in enumerate(__UpperCamelCase				):
				# Evolution Parameter
				lowerCAmelCase_    :  Optional[int]             =				float(seed / value				)

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

				# Control Theory: Trajectory Change
				lowerCAmelCase_    :  List[Any]             =				(params_space[key] + e) % 1 + 3

				# Modification (Transition Function) - Jumps
				lowerCAmelCase_    :  Tuple             =				round(float(r * value * (1 - value)				)  ,10				)
				lowerCAmelCase_    :  Optional[int]             =				r  # Saving to Parameters Space

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

		# Machine Time
		machine_time += 1


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

		# PRNG (Xorshift by George Marsaglia)
		def xorshift(__UpperCamelCase							:	str  ,__UpperCamelCase							:	List[Any]				):
				x ^= y >> 13
				y ^= x << 17
				x ^= y >> 5
				return x

		# Choosing Dynamical Systems (Increment)
		lowerCAmelCase_    :  List[Any]             =				machine_time % m

		# Evolution (Time Length)
		for _ in range(0  ,__UpperCamelCase				):
				# Variables (Position + Parameters)
				lowerCAmelCase_    :  Tuple             =				params_space[key]
				lowerCAmelCase_    :  Tuple             =				buffer_space[key]

				# Modification (Transition Function) - Flow
				lowerCAmelCase_    :  Tuple             =				round(float(r * value * (1 - value)				)  ,10				)
				lowerCAmelCase_    :  int             =				(machine_time * 0.0_1 + r * 1.0_1) % 1 + 3

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

		# Machine Time
		machine_time += 1

		return xorshift(__UpperCamelCase  ,__UpperCamelCase				) % 0Xffff_ffff


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

		lowerCAmelCase_    :  int             =				K
		lowerCAmelCase_    :  List[Any]             =				[0] * m
		lowerCAmelCase_    :  Any             =				0


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

						# Pushing Data (Input)
						import random

						A__						:						Optional[int]          =      random.sample(range(0XFFFF_FFFF), 100)
						for chunk in message:
												push(chunk)

						# for controlling
						A__						:						Any          =      ''''''

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










from __future__ import annotations

A__						:						Tuple          =      '''Alexander Joslin'''


def     UpperCamelCase(						__UpperCamelCase							:	int				):

		if number <= 0:
				lowerCAmelCase_    :  str             =				f"""n must be greater than 0. Got n = {number}"""
				raise ValueError(__UpperCamelCase				)

		lowerCAmelCase_    :  str             =				[number + 1] * (number + 1)

		# starting position
		lowerCAmelCase_    :  List[Any]             =				0
		for i in range(1  ,__UpperCamelCase				):
				lowerCAmelCase_    :  int             =				min(table[i + 1]  ,table[i] + 1				)
				# check if out of bounds
				if i * 2 <= number:
						lowerCAmelCase_    :  Union[str, Any]             =				min(table[i * 2]  ,table[i] + 1				)
				# check if out of bounds
				if i * 3 <= number:
						lowerCAmelCase_    :  Union[str, Any]             =				min(table[i * 3]  ,table[i] + 1				)
		return table[number]


if __name__ == "__main__":
						import doctest

						doctest.testmod()





