




"""simple docstring"""




a_            =   [0.33, 0.44, 0.55, 0.44, 0.33]
a_            =   3
a_            =   5

# Buffer Space (with Parameters Space)
a_            =   []
a_            =   []

# Machine Time
a_            =   0







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

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

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

						# Control Theory: Trajectory Change
						__lowercase	:       Union[str, Any]				=   (params_space[key] + e) % 1 + 3

						# Modification (Transition Function) - Jumps
						__lowercase	:       Any				=   round(float(r * value * (1 - value)					)					,							10					)
						__lowercase	:       Tuple				=   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					,							__UpperCamelCase					):
						x ^= y >> 13
						y ^= x << 17
						x ^= y >> 5
						return x

			# Choosing Dynamical Systems (Increment)
			__lowercase	:       Union[str, Any]				=   machine_time % m

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

						# Modification (Transition Function) - Flow
						__lowercase	:       Dict				=   round(float(r * value * (1 - value)					)					,							10					)
						__lowercase	:       Optional[Any]				=   (machine_time * 0.01 + r * 1.01) % 1 + 3

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

			__lowercase	:       Tuple				=   K
			__lowercase	:       List[Any]				=   [0] * m
			__lowercase	:       Optional[int]				=   0


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

			# Pushing Data (Input)
			import random

			a_            =   random.sample(range(0xF_F_F_F_F_F_F_F), 1_0_0)
			for chunk in message:
						push(chunk)

			# for controlling
			a_            =   ''

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









"""simple docstring"""




from __future__ import annotations







def       __UpperCAmelCase      (				__UpperCamelCase					):
			__lowercase	:       List[Any]				=   [0] * len(__UpperCamelCase					)
			for i in range(1					,							len(__UpperCamelCase					)					):
						__lowercase	:       Optional[Any]				=   duration_times[i - 1] + waiting_times[i - 1]
			return waiting_times







def       __UpperCAmelCase      (				__UpperCamelCase					,							__UpperCamelCase					):
			return [
			    duration_time + waiting_times[i]
			    for i, duration_time in enumerate(__UpperCamelCase					)
			]







def       __UpperCAmelCase      (				__UpperCamelCase					):
			return sum(__UpperCamelCase					) / len(__UpperCamelCase					)







def       __UpperCAmelCase      (				__UpperCamelCase					):
			return sum(__UpperCamelCase					) / len(__UpperCamelCase					)


if __name__ == "__main__":
			# process id's
			a_            =   [1, 2, 3]

			# ensure that we actually have processes
			if len(processes) == 0:
						print('Zero amount of processes')
						raise SystemExit(0)

			# duration time of all processes
			a_            =   [1_9, 8, 9]

			# ensure we can match each id to a duration time
			if len(duration_times) != len(processes):
						print('Unable to match all id\'s with their duration time')
						raise SystemExit(0)

			# get the waiting times and the turnaround times
			a_            =   calculate_waiting_times(duration_times)
			a_            =   calculate_turnaround_times(duration_times, waiting_times)

			# get the average times
			a_            =   calculate_average_waiting_time(waiting_times)
			a_            =   calculate_average_turnaround_time(turnaround_times)

			# print all the results
			print('Process ID\tDuration Time\tWaiting Time\tTurnaround Time')
			for i, process in enumerate(processes):
						print(
						    F"{process}\t\t{duration_times[i]}\t\t{waiting_times[i]}\t\t"
						    F"{turnaround_times[i]}"
						)
			print(F"Average waiting time = {average_waiting_time}")
			print(F"Average turn around time = {average_turnaround_time}")



