



"""simple docstring"""







from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload






class       UpperCamelCase__			:

			"""simple docstring"""


			def __init__(      self						,	SCREAMING_SNAKE_CASE__ = None		)      ->	None:
				if components is None:
					A__											=					[]
				A__											=					list(SCREAMING_SNAKE_CASE__		)


			def __len__(      self		)      ->	int:
				return len(self.__components		)


			def __str__(      self		)      ->	str:
				return "(" + ",".join(map(SCREAMING_SNAKE_CASE__						,	self.__components		)		) + ")"


			def __add__(      self						,	SCREAMING_SNAKE_CASE__		)      ->	Vector:
				A__											=					len(self		)
				if size == len(SCREAMING_SNAKE_CASE__		):
					A__											=					[self.__components[i] + other.component(SCREAMING_SNAKE_CASE__		) for i in range(SCREAMING_SNAKE_CASE__		)]
					return Vector(SCREAMING_SNAKE_CASE__		)
				else:
					raise Exception("must have the same size"		)


			def __sub__(      self						,	SCREAMING_SNAKE_CASE__		)      ->	Vector:
				A__											=					len(self		)
				if size == len(SCREAMING_SNAKE_CASE__		):
					A__											=					[self.__components[i] - other.component(SCREAMING_SNAKE_CASE__		) for i in range(SCREAMING_SNAKE_CASE__		)]
					return Vector(SCREAMING_SNAKE_CASE__		)
				else:  # error case
					raise Exception("must have the same size"		)


			@overload
			def __mul__(      self						,	SCREAMING_SNAKE_CASE__		)      ->	Vector:
				...


			@overload
			def __mul__(      self						,	SCREAMING_SNAKE_CASE__		)      ->	float:
				...


			def __mul__(      self						,	SCREAMING_SNAKE_CASE__		)      ->	float | Vector:
				if isinstance(SCREAMING_SNAKE_CASE__						,	(float, int)		):
					A__											=					[c * other for c in self.__components]
					return Vector(SCREAMING_SNAKE_CASE__		)
				elif isinstance(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		) and len(self		) == len(SCREAMING_SNAKE_CASE__		):
					A__											=					len(self		)
					A__											=					[self.__components[i] * other.component(SCREAMING_SNAKE_CASE__		) for i in range(SCREAMING_SNAKE_CASE__		)]
					return sum(SCREAMING_SNAKE_CASE__		)
				else:  # error case
					raise Exception("invalid operand!"		)


			def   snake_case__	(      self		)      ->	Vector:
				return Vector(self.__components		)


			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__		)      ->	float:
				if isinstance(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		) and -len(self.__components		) <= i < len(self.__components		):
					return self.__components[i]
				else:
					raise Exception("index out of range"		)


			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)      ->	None:
				assert -len(self.__components		) <= pos < len(self.__components		)
				A__											=					value


			def   snake_case__	(      self		)      ->	float:
				if len(self.__components		) == 0:
					raise Exception("Vector is empty"		)
				A__											=					[c**2 for c in self.__components]
				return math.sqrt(sum(SCREAMING_SNAKE_CASE__		)		)







			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__ = False		)      ->	float:
				A__											=					self * other
				A__											=					self.euclidean_length() * other.euclidean_length()
				if deg:
					return math.degrees(math.acos(num / den		)		)
				else:
					return math.acos(num / den		)



def       _lowerCamelCase				(							UpperCAmelCase_ :       int     )	-> Vector:






	"""simple docstring"""





	assert isinstance(UpperCAmelCase_,	UpperCAmelCase_     )
	return Vector([0] * dimension     )

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






	"""simple docstring"""





	assert isinstance(UpperCAmelCase_,	UpperCAmelCase_     ) and (isinstance(UpperCAmelCase_,	UpperCAmelCase_     ))
	A__											=					[0] * dimension
	A__											=					1
	return Vector(UpperCAmelCase_     )

def       _lowerCamelCase				(							UpperCAmelCase_ :       float,	UpperCAmelCase_ :       Vector,	UpperCAmelCase_ :       Vector     )	-> Vector:






	"""simple docstring"""





	assert (
	    isinstance(UpperCAmelCase_,	UpperCAmelCase_     )
	    and isinstance(UpperCAmelCase_,	UpperCAmelCase_     )
	    and (isinstance(UpperCAmelCase_,	(int, float)     ))
	)
	return x * scalar + y

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






	"""simple docstring"""





	random.seed(UpperCAmelCase_     )
	A__											=					[random.randint(UpperCAmelCase_,	UpperCAmelCase_     ) for _ in range(UpperCAmelCase_     )]
	return Vector(UpperCAmelCase_     )






class       UpperCamelCase__			:

			"""simple docstring"""


			def __init__(      self						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)      ->	None:
				A__											=					matrix
				A__											=					w
				A__											=					h


			def __str__(      self		)      ->	str:
				A__											=					""
				for i in range(self.__height		):
					ans += "|"
					for j in range(self.__width		):
						if j < self.__width - 1:
							ans += str(self.__matrix[i][j]		) + ","
						else:
							ans += str(self.__matrix[i][j]		) + "|\n"
				return ans


			def __add__(      self						,	SCREAMING_SNAKE_CASE__		)      ->	Matrix:
				if self.__width == other.width() and self.__height == other.height():
					A__											=					[]
					for i in range(self.__height		):
						A__											=					[
						    self.__matrix[i][j] + other.component(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)
						    for j in range(self.__width		)
						]
						matrix.append(SCREAMING_SNAKE_CASE__		)
					return Matrix(SCREAMING_SNAKE_CASE__						,	self.__width						,	self.__height		)
				else:
					raise Exception("matrix must have the same dimension!"		)


			def __sub__(      self						,	SCREAMING_SNAKE_CASE__		)      ->	Matrix:
				if self.__width == other.width() and self.__height == other.height():
					A__											=					[]
					for i in range(self.__height		):
						A__											=					[
						    self.__matrix[i][j] - other.component(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)
						    for j in range(self.__width		)
						]
						matrix.append(SCREAMING_SNAKE_CASE__		)
					return Matrix(SCREAMING_SNAKE_CASE__						,	self.__width						,	self.__height		)
				else:
					raise Exception("matrices must have the same dimension!"		)


			@overload
			def __mul__(      self						,	SCREAMING_SNAKE_CASE__		)      ->	Matrix:
				...


			@overload
			def __mul__(      self						,	SCREAMING_SNAKE_CASE__		)      ->	Vector:
				...


			def __mul__(      self						,	SCREAMING_SNAKE_CASE__		)      ->	Vector | Matrix:
				if isinstance(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		):  # matrix-vector
					if len(SCREAMING_SNAKE_CASE__		) == self.__width:
						A__											=					zero_vector(self.__height		)
						for i in range(self.__height		):
							A__											=					[
							    self.__matrix[i][j] * other.component(SCREAMING_SNAKE_CASE__		)
							    for j in range(self.__width		)
							]
							ans.change_component(SCREAMING_SNAKE_CASE__						,	sum(SCREAMING_SNAKE_CASE__		)		)
						return ans
					else:
						raise Exception(
						    "vector must have the same size as the "
						    "number of columns of the matrix!"		)
				elif isinstance(SCREAMING_SNAKE_CASE__						,	(int, float)		):  # matrix-scalar
					A__											=					[
					    [self.__matrix[i][j] * other for j in range(self.__width		)]
					    for i in range(self.__height		)
					]
					return Matrix(SCREAMING_SNAKE_CASE__						,	self.__width						,	self.__height		)
				return None


			def   snake_case__	(      self		)      ->	int:
				return self.__height


			def   snake_case__	(      self		)      ->	int:
				return self.__width


			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)      ->	float:
				if 0 <= x < self.__height and 0 <= y < self.__width:
					return self.__matrix[x][y]
				else:
					raise Exception("change_component: indices out of bounds"		)


			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)      ->	None:
				if 0 <= x < self.__height and 0 <= y < self.__width:
					A__											=					value
				else:
					raise Exception("change_component: indices out of bounds"		)


			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)      ->	float:
				if self.__height != self.__width:
					raise Exception("Matrix is not square"		)
				A__											=					self.__matrix[:x] + self.__matrix[x + 1 :]
				for i in range(len(SCREAMING_SNAKE_CASE__		)		):
					A__											=					minor[i][:y] + minor[i][y + 1 :]
				return Matrix(SCREAMING_SNAKE_CASE__						,	self.__width - 1						,	self.__height - 1		).determinant()


			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)      ->	float:
				if self.__height != self.__width:
					raise Exception("Matrix is not square"		)
				if 0 <= x < self.__height and 0 <= y < self.__width:
					return (-1) ** (x + y) * self.minor(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)
				else:
					raise Exception("Indices out of bounds"		)







			def   snake_case__	(      self		)      ->	float:
				if self.__height != self.__width:
					raise Exception("Matrix is not square"		)
				if self.__height < 1:
					raise Exception("Matrix has no element"		)
				elif self.__height == 1:
					return self.__matrix[0][0]
				elif self.__height == 2:
					return (
					    self.__matrix[0][0] * self.__matrix[1][1]
					    - self.__matrix[0][1] * self.__matrix[1][0]
					)
				else:
					A__											=					[
					    self.__matrix[0][y] * self.cofactor(0						,	SCREAMING_SNAKE_CASE__		) for y in range(self.__width		)
					]
					return sum(SCREAMING_SNAKE_CASE__		)



def       _lowerCamelCase				(							UpperCAmelCase_ :       int     )	-> Matrix:






	"""simple docstring"""





	A__											=					[[0] * n for _ in range(UpperCAmelCase_     )]
	return Matrix(UpperCAmelCase_,	UpperCAmelCase_,	UpperCAmelCase_     )




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






	"""simple docstring"""





	random.seed(UpperCAmelCase_     )
	A__											=					[
	    [random.randint(UpperCAmelCase_,	UpperCAmelCase_     ) for _ in range(UpperCAmelCase_     )] for _ in range(UpperCAmelCase_     )
	]
	return Matrix(UpperCAmelCase_,	UpperCAmelCase_,	UpperCAmelCase_     )









"""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}')




