






"""simple docstring"""







from __future__ import annotations

import math
from collections.abc import Callable


def      UpperCamelCase       ( _A  ,				_A  ,				_A  ,				_A = 100  ,				)     ->       float:
				lowercase    :      Optional[Any]       = x_start
				lowercase    :      str       = fnc(_A )
				lowercase    :      Union[str, Any]       = 0.0

				for _ in range(_A ):
								# Approximates curve as a sequence of linear lines and sums their length
								lowercase    :      Union[str, Any]       = (x_end - x_start) / steps + xa
								lowercase    :      Union[str, Any]       = fnc(_A )
								length += math.hypot(xa - xa  ,				fxa - fxa )

								# Increment step
								lowercase    :      Any       = xa
								lowercase    :      str       = fxa

				return length


if __name__ == "__main__":


				def      UpperCamelCase       ( _A )     ->       Tuple:
								return math.sin(10 * x )

				print('f(x) = sin(10 * x)')
				print('The length of the curve from x = -10 to x = 10 is:')
				_lowerCAmelCase            =	10
				while i <= 10_00_00:
								print(F'With {i} steps: {line_length(f, -10, 10, i)}')
								i *= 10








"""simple docstring"""







def      UpperCamelCase       ( _A  ,				_A )     ->       None:
				lowercase    :      List[Any]       = len(_A )
				print("""The following activities are selected:""" )

				# The first activity is always selected
				lowercase    :      Optional[int]       = 0
				print(_A  ,				end=""",""" )

				# Consider rest of the activities
				for j in range(_A ):
								# If this activity has start time greater than
								# or equal to the finish time of previously
								# selected activity, then select it
								if start[j] >= finish[i]:
												print(_A  ,				end=""",""" )
												lowercase    :      str       = j


if __name__ == "__main__":
				import doctest

				doctest.testmod()

				_lowerCAmelCase            =	[1, 3, 0, 5, 8, 5]
				_lowerCAmelCase            =	[2, 4, 6, 7, 9, 9]
				print_max_activities(start, finish)
