from __future__ import annotations


def    a__       (						__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    a__       (						__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    a__       (						__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 / 3_6_5   ,					number_of_years * 3_6_5 )


if __name__ == "__main__":
      import doctest

      doctest.testmod()



def    a__       (						__UpperCamelCase = 1_0_0_0 ):
      SCREAMING_SNAKE_CASE_      =     -1
      SCREAMING_SNAKE_CASE_      =     0
      for a in range(1   ,					n // 3 ):
            # Solving the two equations a**2+b**2=c**2 and a+b+c=N eliminating c
            SCREAMING_SNAKE_CASE_      =     (n * n - 2 * a * n) // (2 * n - 2 * a)
            SCREAMING_SNAKE_CASE_      =     n - a - b
            if c * c == (a * a + b * b):
                  SCREAMING_SNAKE_CASE_      =     a * b * c
                  if candidate >= product:
                        SCREAMING_SNAKE_CASE_      =     candidate
      return product


if __name__ == "__main__":
      print(f"{solution() = }")


