






'''simple docstring'''

from __future__ import annotations

import math







def    lowercase__			(				__UpperCamelCase		,						__UpperCamelCase   )->			Any:
      UpperCamelCase      = u
      for i in range(1		,						a__   ):
            UpperCamelCase      = temp * (u - i)
      return temp







def    lowercase__			(				)->			str:
      UpperCamelCase      = int(input("""enter the numbers of values: """   )   )
      UpperCamelCase      = []
      for _ in range(a__   ):
            y.append([]   )
      for i in range(a__   ):
            for j in range(a__   ):
                  y[i].append(a__   )
                  UpperCamelCase      = 0

      print("""enter the values of parameters in a list: """   )
      UpperCamelCase      = list(map(a__		,						input().split()   )   )

      print("""enter the values of corresponding parameters: """   )
      for i in range(a__   ):
            UpperCamelCase      = float(input()   )

      UpperCamelCase      = int(input("""enter the value to interpolate: """   )   )
      UpperCamelCase      = (value - x[0]) / (x[1] - x[0])

      # for calculating forward difference table

      for i in range(1		,						a__   ):
            for j in range(n - i   ):
                  UpperCamelCase      = y[j + 1][i - 1] - y[j][i - 1]

      UpperCamelCase      = y[0][0]
      for i in range(1		,						a__   ):
            summ += (ucal(a__		,						a__   ) * y[0][i]) / math.factorial(a__   )

      print(F"the value at {value} is {summ}"   )


if __name__ == "__main__":
     main()








'''simple docstring'''

from timeit import timeit







def    lowercase__			(				__UpperCamelCase   )->			int:
      if number < 0:
            raise ValueError("""the value of input must not be negative"""   )
      UpperCamelCase      = 0
      while number:
            number &= number - 1
            result += 1
      return result







def    lowercase__			(				__UpperCamelCase   )->			int:
      if number < 0:
            raise ValueError("""the value of input must not be negative"""   )
      UpperCamelCase      = 0
      while number:
            if number % 2 == 1:
                  result += 1
            number >>= 1
      return result







def    lowercase__			(				)->			None:

      def do_benchmark(__UpperCamelCase   ) -> None:
            UpperCamelCase      = """import __main__ as z"""
            print(F"Benchmark when {number = }:"   )
            print(F"{get_set_bits_count_using_modulo_operator(__UpperCamelCase   ) = }"   )
            UpperCamelCase      = timeit("""z.get_set_bits_count_using_modulo_operator(25)"""		,						setup=__UpperCamelCase   )
            print(F"timeit() runs in {timing} seconds"   )
            print(F"{get_set_bits_count_using_brian_kernighans_algorithm(__UpperCamelCase   ) = }"   )
            UpperCamelCase      = timeit(
                """z.get_set_bits_count_using_brian_kernighans_algorithm(25)"""		,						setup=__UpperCamelCase		,						)
            print(F"timeit() runs in {timing} seconds"   )

      for number in (25, 37, 58, 0):
            do_benchmark(__UpperCamelCase   )
            print()


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     benchmark()
