





def 							__snake_case							(    lowerCAmelCase_ = 1_0_0_0_0_0_0	)				->						int:
    SCREAMING_SNAKE_CASE__											=			set(range(3 ,							lowerCAmelCase_ ,							2	)	)
    primes.add(2	)
    for p in range(3 ,							lowerCAmelCase_ ,							2	):
        if p not in primes:
            continue
        primes.difference_update(set(range(p * p ,							lowerCAmelCase_ ,							lowerCAmelCase_	)	)	)

    SCREAMING_SNAKE_CASE__											=			[float(lowerCAmelCase_	) for n in range(limit + 1	)]

    for p in primes:
        for n in range(lowerCAmelCase_ ,							limit + 1 ,							lowerCAmelCase_	):
            phi[n] *= 1 - 1 / p

    return int(sum(phi[2:]	)	)


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




"""simple docstring"""

def lowerCAmelCase_   (					UpperCamelCase__						:			Union[str, Any]					, UpperCamelCase__						:			Union[str, Any]					, UpperCamelCase__						:			int			):






 """simple docstring"""







 if n == 0:
  return 1

 elif n % 2 == 1:
  return (binary_exponentiation(UpperCamelCase__					, n - 1					, UpperCamelCase__			) * a) % mod

 else:
  __lowercase						=						binary_exponentiation(UpperCamelCase__					, n / 2					, UpperCamelCase__			)
  return (b * b) % mod


# a prime number
UpperCAmelCase__					=701

UpperCAmelCase__					=10_0000_0000
UpperCAmelCase__					=10

# using binary exponentiation function, O(log(p)):
print((a / b) % p == (a * binary_exponentiation(b, p - 2, p)) % p)

print((a / b) % p == (a * b ** (p - 2)) % p)
