






from __future__ import annotations






def 					lowerCamelCase__					(_UpperCAmelCase				,							_UpperCAmelCase				,							_UpperCAmelCase):
			if days_between_payments <= 0:
						raise ValueError('days_between_payments must be > 0')
			if daily_interest_rate < 0:
						raise ValueError('daily_interest_rate must be >= 0')
			if principal <= 0:
						raise ValueError('principal must be > 0')
			return principal * daily_interest_rate * days_between_payments






def 					lowerCamelCase__					(_UpperCAmelCase				,							_UpperCAmelCase				,							_UpperCAmelCase				,							):
			if number_of_compounding_periods <= 0:
						raise ValueError('number_of_compounding_periods must be > 0')
			if nominal_annual_interest_rate_percentage < 0:
						raise ValueError('nominal_annual_interest_rate_percentage must be >= 0')
			if principal <= 0:
						raise ValueError('principal must be > 0')

			return principal * (
			    (1 + nominal_annual_interest_rate_percentage) ** number_of_compounding_periods
			    - 1
			)






def 					lowerCamelCase__					(_UpperCAmelCase				,							_UpperCAmelCase				,							_UpperCAmelCase				,							):
			if number_of_years <= 0:
						raise ValueError('number_of_years must be > 0')
			if nominal_annual_percentage_rate < 0:
						raise ValueError('nominal_annual_percentage_rate must be >= 0')
			if principal <= 0:
						raise ValueError('principal must be > 0')

			return compound_interest(
			    _UpperCAmelCase				,							nominal_annual_percentage_rate / 365				,							number_of_years * 365)


if __name__ == "__main__":
				import doctest

				doctest.testmod()





from __future__ import annotations

from random import choice






def _lowerCamelCase  (		snake_case  ):
							return choice(snake_case  )






def _lowerCamelCase  (		snake_case     , snake_case  ):
							_lowerCAmelCase							=							random_pivot(snake_case  )

							# partition based on pivot
							# linear time
							_lowerCAmelCase							=							[e for e in lst if e < pivot]
							_lowerCAmelCase							=							[e for e in lst if e > pivot]

							# if we get lucky, pivot might be the element we want.
							# we can easily see this:
							# small (elements smaller than k)
							# + pivot (kth element)
							# + big (elements larger than k)
							if len(snake_case  ) == k - 1:
														return pivot
							# pivot is in elements bigger than k
							elif len(snake_case  ) < k - 1:
														return kth_number(snake_case     , k - len(snake_case  ) - 1  )
							# pivot is in elements smaller than k
							else:
														return kth_number(snake_case     , snake_case  )


if __name__ == "__main__":
				import doctest

				doctest.testmod()






