





def 							__snake_case							(    lowerCAmelCase_	)				->						int:
    SCREAMING_SNAKE_CASE__											=			0
    while num > 0:
        digit_sum += num % 1_0
        num //= 1_0
    return digit_sum


def 							__snake_case							(    lowerCAmelCase_ = 1_0_0	)				->						int:
    SCREAMING_SNAKE_CASE__											=			1
    SCREAMING_SNAKE_CASE__											=			2

    for i in range(2 ,							max_n + 1	):
        SCREAMING_SNAKE_CASE__											=			pre_numerator
        SCREAMING_SNAKE_CASE__											=			2 * i // 3 if i % 3 == 0 else 1
        SCREAMING_SNAKE_CASE__											=			cur_numerator
        SCREAMING_SNAKE_CASE__											=			e_cont * pre_numerator + temp

    return sum_digits(lowerCAmelCase_	)


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








from math import pow, sqrt





def    __lowerCAmelCase   (    *__snake_case							):
     __lowerCAmelCase             =       len(__snake_case							) > 0 and all(value > 0.0 for value in values							)
     return result





def    __lowerCAmelCase   (    __snake_case       ,			__snake_case							):
     return (
         round(sqrt(molar_mass_a / molar_mass_a							)       ,			6							)
         if validate(__snake_case       ,			__snake_case							)
         else ValueError("Input Error: Molar mass values must greater than 0."							)
     )





def    __lowerCAmelCase   (    __snake_case       ,			__snake_case       ,			__snake_case							):
     return (
         round(effusion_rate * sqrt(molar_mass_a / molar_mass_a							)       ,			6							)
         if validate(__snake_case       ,			__snake_case       ,			__snake_case							)
         else ValueError(
             "Input Error: Molar mass and effusion rate values must greater than 0."							)
     )





def    __lowerCAmelCase   (    __snake_case       ,			__snake_case       ,			__snake_case							):
     return (
         round(effusion_rate / sqrt(molar_mass_a / molar_mass_a							)       ,			6							)
         if validate(__snake_case       ,			__snake_case       ,			__snake_case							)
         else ValueError(
             "Input Error: Molar mass and effusion rate values must greater than 0."							)
     )





def    __lowerCAmelCase   (    __snake_case       ,			__snake_case       ,			__snake_case							):
     return (
         round(molar_mass / pow(effusion_rate_a / effusion_rate_a       ,			2							)       ,			6							)
         if validate(__snake_case       ,			__snake_case       ,			__snake_case							)
         else ValueError(
             "Input Error: Molar mass and effusion rate values must greater than 0."							)
     )





def    __lowerCAmelCase   (    __snake_case       ,			__snake_case       ,			__snake_case							):
     return (
         round(pow(effusion_rate_a / effusion_rate_a       ,			2							) / molar_mass       ,			6							)
         if validate(__snake_case       ,			__snake_case       ,			__snake_case							)
         else ValueError(
             "Input Error: Molar mass and effusion rate values must greater than 0."							)
     )






