




SCREAMING_SNAKE_CASE:    Optional[Any]											=   [0.33, 0.44, 0.55, 0.44, 0.33]
SCREAMING_SNAKE_CASE:    int											=   3
SCREAMING_SNAKE_CASE:    str											=   5

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

# Machine Time
SCREAMING_SNAKE_CASE:    str											=   0


def 				_a       (				lowerCAmelCase   )->  int:
		global buffer_space, params_space, machine_time, K, m, t

		# Choosing Dynamical Systems (All)
		for key, value in enumerate(lowerCAmelCase   ):
				# Evolution Parameter
				SCREAMING_SNAKE_CASE_							=       float(seed / value   )

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

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

				# Modification (Transition Function) - Jumps
				SCREAMING_SNAKE_CASE_							=       round(float(r * value * (1 - value)   )						,	10   )
				SCREAMING_SNAKE_CASE_							=       r  # Saving to Parameters Space

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

		# Machine Time
		machine_time += 1


def 				_a       (				)->  int:
		global buffer_space, params_space, machine_time, K, m, t

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

		# Choosing Dynamical Systems (Increment)
		SCREAMING_SNAKE_CASE_							=       machine_time % m

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

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

		# Choosing Chaotic Data
		SCREAMING_SNAKE_CASE_							=       int(buffer_space[(key + 2) % m] * (10**10)   )
		SCREAMING_SNAKE_CASE_							=       int(buffer_space[(key - 2) % m] * (10**10)   )

		# Machine Time
		machine_time += 1

		return xorshift(lowerCAmelCase						,	lowerCAmelCase   ) % 0xFFFF_FFFF


def 				_a       (				)->  Optional[Any]:
		global buffer_space, params_space, machine_time, K, m, t

		SCREAMING_SNAKE_CASE_							=       K
		SCREAMING_SNAKE_CASE_							=       [0] * m
		SCREAMING_SNAKE_CASE_							=       0


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

						# Pushing Data (Input)
						import random

						SCREAMING_SNAKE_CASE:    List[Any]											=   random.sample(range(0xff_ff_ff_ff), 1_0_0)
						for chunk in message:
												push(chunk)

						# for controlling
						SCREAMING_SNAKE_CASE:    List[str]											=   ''''''

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





from __future__ import annotations


def 				_a       (				lowerCAmelCase   )->  list[int]:
		if not list_of_ints:
				return []

		if min(lowerCAmelCase   ) < 0:
				raise ValueError('All numbers must be positive'   )

		SCREAMING_SNAKE_CASE_							=       max(len(bin(lowerCAmelCase   )[2:]   ) for x in list_of_ints   )
		return _msd_radix_sort(lowerCAmelCase						,	lowerCAmelCase   )


def 				_a       (				lowerCAmelCase						,	lowerCAmelCase   )->  list[int]:
		if bit_position == 0 or len(lowerCAmelCase   ) in [0, 1]:
				return list_of_ints

		SCREAMING_SNAKE_CASE_							=       []
		SCREAMING_SNAKE_CASE_							=       []
		# Split numbers based on bit at bit_position from the right
		for number in list_of_ints:
				if (number >> (bit_position - 1)) & 1:
						# number has a one at bit bit_position
						ones.append(lowerCAmelCase   )
				else:
						# number has a zero at bit bit_position
						zeros.append(lowerCAmelCase   )

    # recursively split both lists further
		SCREAMING_SNAKE_CASE_							=       _msd_radix_sort(lowerCAmelCase						,	bit_position - 1   )
		SCREAMING_SNAKE_CASE_							=       _msd_radix_sort(lowerCAmelCase						,	bit_position - 1   )

		# recombine lists
		SCREAMING_SNAKE_CASE_							=       zeros
		res.extend(lowerCAmelCase   )

		return res


def 				_a       (				lowerCAmelCase   )->  Dict:
		SCREAMING_SNAKE_CASE_							=       len(lowerCAmelCase   )
		if not list_of_ints or length == 1:
				return

		if min(lowerCAmelCase   ) < 0:
				raise ValueError('All numbers must be positive'   )

		SCREAMING_SNAKE_CASE_							=       max(len(bin(lowerCAmelCase   )[2:]   ) for x in list_of_ints   )
		_msd_radix_sort_inplace(lowerCAmelCase						,	lowerCAmelCase						,	0						,	lowerCAmelCase   )


def 				_a       (				lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase   )->  Optional[int]:
		if bit_position == 0 or end_index - begin_index <= 1:
				return

		bit_position -= 1

		SCREAMING_SNAKE_CASE_							=       begin_index
		SCREAMING_SNAKE_CASE_							=       end_index - 1
		while i <= j:
				SCREAMING_SNAKE_CASE_							=       False
				if not (list_of_ints[i] >> bit_position) & 1:
						# found zero at the beginning
						i += 1
						SCREAMING_SNAKE_CASE_							=       True
				if (list_of_ints[j] >> bit_position) & 1:
						# found one at the end
						j -= 1
						SCREAMING_SNAKE_CASE_							=       True

				if changed:
						continue

				SCREAMING_SNAKE_CASE_			,							SCREAMING_SNAKE_CASE_							=       list_of_ints[j], list_of_ints[i]
				j -= 1
				if j != i:
						i += 1

		_msd_radix_sort_inplace(lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase   )
		_msd_radix_sort_inplace(lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase   )


if __name__ == "__main__":
						import doctest

						doctest.testmod()