



"""simple docstring"""







import mpmath  # for roots of unity
import numpy as np






class       UpperCamelCase__			:

			"""simple docstring"""


			def __init__(      self						,	SCREAMING_SNAKE_CASE__=None						,	SCREAMING_SNAKE_CASE__=None		)      ->	Optional[Any]:
				# Input as list
				A__											=					list(poly_a or [0]		)[:]
				A__											=					list(poly_b or [0]		)[:]

				# Remove leading zero coefficients
				while self.polyA[-1] == 0:
					self.polyA.pop()
				A__											=					len(self.polyA		)

				while self.polyB[-1] == 0:
					self.polyB.pop()
				A__											=					len(self.polyB		)

				# Add 0 to make lengths equal a power of 2
				A__											=					int(
				    2 ** np.ceil(np.loga(len(self.polyA		) + len(self.polyB		) - 1		)		)		)

				while len(self.polyA		) < self.c_max_length:
					self.polyA.append(0		)
				while len(self.polyB		) < self.c_max_length:
					self.polyB.append(0		)
				# A complex root used for the fourier transform
				A__											=					complex(mpmath.root(x=1						,	n=self.c_max_length						,	k=1		)		)

				# The product
				A__											=					self.__multiply()


			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__		)      ->	Optional[int]:
				A__											=					[[x] for x in self.polyA] if which == "A" else [[x] for x in self.polyB]
				# Corner case
				if len(SCREAMING_SNAKE_CASE__		) <= 1:
					return dft[0]
				#
				A__											=					self.c_max_length // 2
				while next_ncol > 0:
					A__											=					[[] for i in range(SCREAMING_SNAKE_CASE__		)]
					A__											=					self.root**next_ncol

					# First half of next step
					A__											=					1
					for j in range(self.c_max_length // (next_ncol * 2)		):
						for i in range(SCREAMING_SNAKE_CASE__		):
							new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]		)
						current_root *= root
					# Second half of next step
					A__											=					1
					for j in range(self.c_max_length // (next_ncol * 2)		):
						for i in range(SCREAMING_SNAKE_CASE__		):
							new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]		)
						current_root *= root
					# Update
					A__											=					new_dft
					A__											=					next_ncol // 2
				return dft[0]


			def   snake_case__	(      self		)      ->	int:
				A__											=					self.__dft("A"		)
				A__											=					self.__dft("B"		)
				A__											=					[[dft_a[i] * dft_b[i] for i in range(self.c_max_length		)]]
				del dft_a
				del dft_b

				# Corner Case
				if len(inverce_c[0]		) <= 1:
					return inverce_c[0]
				# Inverse DFT
				A__											=					2
				while next_ncol <= self.c_max_length:
					A__											=					[[] for i in range(SCREAMING_SNAKE_CASE__		)]
					A__											=					self.root ** (next_ncol // 2)
					A__											=					1
					# First half of next step
					for j in range(self.c_max_length // next_ncol		):
						for i in range(next_ncol // 2		):
							# Even positions
							new_inverse_c[i].append(
							    (
							        inverce_c[i][j]
							        + inverce_c[i][j + self.c_max_length // next_ncol]
							    )
							    / 2		)
							# Odd positions
							new_inverse_c[i + next_ncol // 2].append(
							    (
							        inverce_c[i][j]
							        - inverce_c[i][j + self.c_max_length // next_ncol]
							    )
							    / (2 * current_root)		)
						current_root *= root
					# Update
					A__											=					new_inverse_c
					next_ncol *= 2
				# Unpack
				A__											=					[round(x[0].real						,	8		) + round(x[0].imag						,	8		) * 1J for x in inverce_c]

				# Remove leading 0's
				while inverce_c[-1] == 0:
					inverce_c.pop()
				return inverce_c







			def __str__(      self		)      ->	Optional[Any]:
				A__											=					"A = " + " + ".join(
				    f"""{coef}*x^{i}""" for coef, i in enumerate(self.polyA[: self.len_A]		)		)
				A__											=					"B = " + " + ".join(
				    f"""{coef}*x^{i}""" for coef, i in enumerate(self.polyB[: self.len_B]		)		)
				A__											=					"A*B = " + " + ".join(
				    f"""{coef}*x^{i}""" for coef, i in enumerate(self.product		)		)

				return f"""{a}\n{b}\n{c}"""


# Unit tests
if __name__ == "__main__":
			import doctest

			doctest.testmod()









"""simple docstring"""







from statistics import mean

import numpy as np

def       _lowerCamelCase				(							UpperCAmelCase_ :       list,	UpperCAmelCase_ :       list,	UpperCAmelCase_ :       list,	UpperCAmelCase_ :       int     )	-> list:






	"""simple docstring"""





	A__											=					0
	# Number of processes finished
	A__											=					0
	# Displays the finished process.
	# If it is 0, the performance is completed if it is 1, before the performance.
	A__											=					[0] * no_of_process
	# List to include calculation results
	A__											=					[0] * no_of_process

	# Sort by arrival time.
	A__											=					[burst_time[i] for i in np.argsort(UpperCAmelCase_     )]
	A__											=					[process_name[i] for i in np.argsort(UpperCAmelCase_     )]
	arrival_time.sort()

	while no_of_process > finished_process_count:
		A__											=					0
		while finished_process[i] == 1:
			i += 1
		if current_time < arrival_time[i]:
			A__											=					arrival_time[i]

		A__											=					0
		# Index showing the location of the process being performed
		A__											=					0
		# Saves the current response ratio.
		A__											=					0
		for i in range(0,	UpperCAmelCase_     ):
			if finished_process[i] == 0 and arrival_time[i] <= current_time:
				A__											=					(burst_time[i] + (current_time - arrival_time[i])) / burst_time[
				    i
				]
			if response_ratio < temp:
				A__											=					temp
				A__											=					i

        # Calculate the turn around time
		A__											=					current_time + burst_time[loc] - arrival_time[loc]
		current_time += burst_time[loc]
		# Indicates that the process has been performed.
		A__											=					1
		# Increase finished_process_count by 1
		finished_process_count += 1

	return turn_around_time

def       _lowerCamelCase				(							UpperCAmelCase_ :       list,	UpperCAmelCase_ :       list,	UpperCAmelCase_ :       list,	UpperCAmelCase_ :       int     )	-> list:






	"""simple docstring"""





	A__											=					[0] * no_of_process
	for i in range(0,	UpperCAmelCase_     ):
		A__											=					turn_around_time[i] - burst_time[i]
	return waiting_time


if __name__ == "__main__":
			UpperCamelCase     =							5
			UpperCamelCase     =							["""A""", """B""", """C""", """D""", """E"""]
			UpperCamelCase     =							[1, 2, 3, 4, 5]
			UpperCamelCase     =							[1, 2, 3, 4, 5]

			UpperCamelCase     =							calculate_turn_around_time(
			    process_name, arrival_time, burst_time, no_of_process
			)
			UpperCamelCase     =							calculate_waiting_time(
			    process_name, turn_around_time, burst_time, no_of_process
			)

			print("""Process name \tArrival time \tBurst time \tTurn around time \tWaiting time""")
			for i in range(0, no_of_process):
						print(
						    f'{process_name[i]}\t\t{arrival_time[i]}\t\t{burst_time[i]}\t\t'
						    f'{turn_around_time[i]}\t\t\t{waiting_time[i]}'
						)

			print(f'average waiting time : {mean(waiting_time):.5f}')
			print(f'average turn around time : {mean(turn_around_time):.5f}')




