




"""simple docstring"""

import numpy as np




def    snake_case__						(							lowerCAmelCase :		List[Any]					,       lowerCAmelCase :		List[Any]="utf-8"					,       lowerCAmelCase :		List[Any]="surrogatepass"		):
					__snake_case        =						bin(int.from_bytes(text.encode(lowerCAmelCase					,       lowerCAmelCase		)					,       """big"""		)		)[2:]
					return bits.zfill(8 * ((len(lowerCAmelCase		) + 7) // 8)		)




def    snake_case__						(							lowerCAmelCase :		Tuple					,       lowerCAmelCase :		Any="utf-8"					,       lowerCAmelCase :		Union[str, Any]="surrogatepass"		):
					__snake_case        =						int(lowerCAmelCase					,       2		)
					return n.to_bytes((n.bit_length() + 7) // 8					,       """big"""		).decode(lowerCAmelCase					,       lowerCAmelCase		) or "\0"




def    snake_case__						(							lowerCAmelCase :		str					,       lowerCAmelCase :		Union[str, Any]		):
					if size_par + len(lowerCAmelCase		) <= 2**size_par - (len(lowerCAmelCase		) - 1):
										raise ValueError("""size of parity don't match with size of data"""		)

					__snake_case        =						[]
					__snake_case        =						[]
					__snake_case        =						[bin(lowerCAmelCase		)[2:] for x in range(1					,       size_par + len(lowerCAmelCase		) + 1		)]

					# sorted information data for the size of the output data
					__snake_case        =						[]
					# data position template + parity
					__snake_case        =						[]
					# parity bit counter
					__snake_case        =						0
					# counter position of data bits
					__snake_case        =						0

					for x in range(1					,       size_par + len(lowerCAmelCase		) + 1		):
										# Performs a template of bit positions - who should be given,
										# and who should be parity
										if qtd_bp < size_par:
															if (np.log(lowerCAmelCase		) / np.log(2		)).is_integer():
																				data_out_gab.append("""P"""		)
																				__snake_case        =						qtd_bp + 1
															else:
																				data_out_gab.append("""D"""		)
										else:
															data_out_gab.append("""D"""		)

										# Sorts the data to the new output size
										if data_out_gab[-1] == "D":
															data_ord.append(data[cont_data]		)
															cont_data += 1
										else:
															data_ord.append(lowerCAmelCase		)

    # Calculates parity
					__snake_case        =						0  # parity bit counter
					for bp in range(1					,       size_par + 1		):
										# Bit counter one for a given parity
										__snake_case        =						0
										# counter to control the loop reading
										__snake_case        =						0
										for x in data_ord:
															if x is not None:
																				try:
																									__snake_case        =						(bin_pos[cont_loop])[-1 * (bp)]
																				except IndexError:
																									__snake_case        =						"""0"""
																				if aux == "1" and x == "1":
																									cont_bo += 1
															cont_loop += 1
										parity.append(cont_bo % 2		)

										qtd_bp += 1

					# Mount the message
					__snake_case        =						0  # parity bit counter
					for x in range(0					,       size_par + len(lowerCAmelCase		)		):
										if data_ord[x] is None:
															data_out.append(str(parity[cont_bp]		)		)
															cont_bp += 1
										else:
															data_out.append(data_ord[x]		)

					return data_out




def    snake_case__						(							lowerCAmelCase :		int					,       lowerCAmelCase :		Dict		):
					__snake_case        =						[]
					# Parity bit counter
					__snake_case        =						0
					# Counter p data bit reading
					__snake_case        =						0
					# list of parity received
					__snake_case        =						[]
					__snake_case        =						[]

					for x in range(1					,       len(lowerCAmelCase		) + 1		):
										# Performs a template of bit positions - who should be given,
										#  and who should be parity
										if qtd_bp < size_par and (np.log(lowerCAmelCase		) / np.log(2		)).is_integer():
															data_out_gab.append("""P"""		)
															__snake_case        =						qtd_bp + 1
										else:
															data_out_gab.append("""D"""		)

										# Sorts the data to the new output size
										if data_out_gab[-1] == "D":
															data_output.append(data[cont_data]		)
										else:
															parity_received.append(data[cont_data]		)
										cont_data += 1

					# -----------calculates the parity with the data
					__snake_case        =						[]
					__snake_case        =						[]
					__snake_case        =						[bin(lowerCAmelCase		)[2:] for x in range(1					,       size_par + len(lowerCAmelCase		) + 1		)]

					#  sorted information data for the size of the output data
					__snake_case        =						[]
					# Data position feedback + parity
					__snake_case        =						[]
					# Parity bit counter
					__snake_case        =						0
					# Counter p data bit reading
					__snake_case        =						0

					for x in range(1					,       size_par + len(lowerCAmelCase		) + 1		):
										# Performs a template position of bits - who should be given,
										# and who should be parity
										if qtd_bp < size_par and (np.log(lowerCAmelCase		) / np.log(2		)).is_integer():
															data_out_gab.append("""P"""		)
															__snake_case        =						qtd_bp + 1
										else:
															data_out_gab.append("""D"""		)

										# Sorts the data to the new output size
										if data_out_gab[-1] == "D":
															data_ord.append(data_output[cont_data]		)
															cont_data += 1
										else:
															data_ord.append(lowerCAmelCase		)

    # Calculates parity
					__snake_case        =						0  # parity bit counter
					for bp in range(1					,       size_par + 1		):
										# Bit counter one for a certain parity
										__snake_case        =						0
										# Counter to control loop reading
										__snake_case        =						0
										for x in data_ord:
															if x is not None:
																				try:
																									__snake_case        =						(bin_pos[cont_loop])[-1 * (bp)]
																				except IndexError:
																									__snake_case        =						"""0"""
																				if aux == "1" and x == "1":
																									cont_bo += 1
															cont_loop += 1
										parity.append(str(cont_bo % 2		)		)

										qtd_bp += 1

					# Mount the message
					__snake_case        =						0  # Parity bit counter
					for x in range(0					,       size_par + len(lowerCAmelCase		)		):
										if data_ord[x] is None:
															data_out.append(str(parity[cont_bp]		)		)
															cont_bp += 1
										else:
															data_out.append(data_ord[x]		)

					__snake_case        =						parity_received == parity
					return data_output, ack








"""simple docstring"""

from __future__ import annotations




def    snake_case__						(							lowerCAmelCase :		list[int]		):
					__snake_case        =						[0] * len(lowerCAmelCase		)
					for i in range(1					,       len(lowerCAmelCase		)		):
										__snake_case        =						duration_times[i - 1] + waiting_times[i - 1]
					return waiting_times




def    snake_case__						(							lowerCAmelCase :		list[int]					,       lowerCAmelCase :		list[int]		):
					return [
					    duration_time + waiting_times[i]
					    for i, duration_time in enumerate(lowerCAmelCase		)
					]




def    snake_case__						(							lowerCAmelCase :		list[int]		):
					return sum(lowerCAmelCase		) / len(lowerCAmelCase		)




def    snake_case__						(							lowerCAmelCase :		list[int]		):
					return sum(lowerCAmelCase		) / len(lowerCAmelCase		)


if __name__ == "__main__":
		# process id's
		UpperCamelCase__			:     str			       =				[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
		UpperCamelCase__			:     Any			       =				[19, 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
		UpperCamelCase__			:     Optional[int]			       =				calculate_waiting_times(duration_times)
		UpperCamelCase__			:     Any			       =				calculate_turnaround_times(duration_times, waiting_times)

		# get the average times
		UpperCamelCase__			:     Optional[Any]			       =				calculate_average_waiting_time(waiting_times)
		UpperCamelCase__			:     Dict			       =				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}')


