

'''simple docstring'''






from __future__ import annotations

import math
from collections.abc import Callable


def 	_A  (					A__  ,       A__  ,       A__  ,       A__ = 100  ,       ):






 """simple docstring"""



 __lowercase													=				x_start
 __lowercase													=				fnc(A__   )
 __lowercase													=				0.0

 for _ in range(A__   ):
  # Approximates curve as a sequence of linear lines and sums their length
  __lowercase													=				(x_end - x_start) / steps + xa
  __lowercase													=				fnc(A__   )
  length += math.hypot(xa - xa  ,       fxa - fxa   )

  # Increment step
  __lowercase													=				xa
  __lowercase													=				fxa

 return length


if __name__ == "__main__":


 def 	_A  (					A__   ):






  """simple docstring"""



  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_0000:
  print(f'With {i} steps: {line_length(f, -10, 10, i)}')
  i *= 10




'''simple docstring'''






import random
from typing import Any


def 	_A  (					A__   ):






 """simple docstring"""



 for _ in range(len(A__   )   ):
  __lowercase													=				random.randint(0  ,       len(A__   ) - 1   )
  __lowercase													=				random.randint(0  ,       len(A__   ) - 1   )
  __lowercase						,			__lowercase													=				data[b], data[a]
 return data


if __name__ == "__main__":
 lowerCAmelCase__      		=			[0, 1, 2, 3, 4, 5, 6, 7]
 lowerCAmelCase__      		=			['''python''', '''says''', '''hello''', '''!''']
 print('''Fisher-Yates Shuffle:''')
 print('''List''', integers, strings)
 print('''FY Shuffle''', fisher_yates_shuffle(integers), fisher_yates_shuffle(strings))

