


'''simple docstring'''





import math






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: int ):






			"""simple docstring"""




			__A=	[True] * n
			__A=	False
			__A=	False
			__A=	True

			for i in range(3,int(n**0.5 + 1 ),2 ):
						__A=	i * 2
						while index < n:
									__A=	False
									__A=	index + i

			__A=	[2]

			for i in range(3,_SCREAMING_SNAKE_CASE,2 ):
						if is_prime[i]:
									primes.append(_SCREAMING_SNAKE_CASE )

			return primes






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: int = 9999_6666_3333 ):






			"""simple docstring"""




			__A=	math.floor(math.sqrt(_SCREAMING_SNAKE_CASE ) ) + 100
			__A=	prime_sieve(_SCREAMING_SNAKE_CASE )

			__A=	0
			__A=	0
			__A=	primes[prime_index]

			while (last_prime**2) <= limit:
						__A=	primes[prime_index + 1]

						__A=	last_prime**2
						__A=	next_prime**2

						# Get numbers divisible by lps(current)
						__A=	lower_bound + last_prime
						while upper_bound > current <= limit:
									matches_sum += current
									current += last_prime

						# Reset the upper_bound
						while (upper_bound - next_prime) > limit:
									upper_bound -= next_prime

						# Add the numbers divisible by ups(current)
						__A=	upper_bound - next_prime
						while current > lower_bound:
									matches_sum += current
									current -= next_prime

						# Remove the numbers divisible by both ups and lps
						__A=	0
						while upper_bound > current <= limit:
									if current <= lower_bound:
												# Increment the current number
												current += last_prime * next_prime
												continue

									if current > limit:
												break

									# Remove twice since it was added by both ups and lps
									matches_sum -= current * 2

									# Increment the current number
									current += last_prime * next_prime

						# Setup for next pair
						__A=	next_prime
						prime_index += 1

			return matches_sum


if __name__ == "__main__":
					print(solution())







'''simple docstring'''





import re

from filelock import FileLock


try:
					import nltk

					UpperCAmelCase__  			=				True
except (ImportError, ModuleNotFoundError):
					UpperCAmelCase__  			=				False

if NLTK_AVAILABLE:
					with FileLock('''.lock''') as lock:
										nltk.download('''punkt''', quiet=True)






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: str ):






			"""simple docstring"""




			re.sub('<n>','',_SCREAMING_SNAKE_CASE )  # remove pegasus newline char
			assert NLTK_AVAILABLE, "nltk must be installed to separate newlines between sentences. (pip install nltk)"
			return "\n".join(nltk.sent_tokenize(_SCREAMING_SNAKE_CASE ) )



