




import math

def lowercase    (  SCREAMING_SNAKE_CASE )			->							list:


			'''simple docstring'''







			SCREAMING_SNAKE_CASE_								=						[True] * n
			SCREAMING_SNAKE_CASE_								=						False
			SCREAMING_SNAKE_CASE_								=						False
			SCREAMING_SNAKE_CASE_								=						True

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

			SCREAMING_SNAKE_CASE_								=						[2]

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

			return primes

def lowercase    (  SCREAMING_SNAKE_CASE = 99_99_66_66_33_33 )			->							int:


			'''simple docstring'''







			SCREAMING_SNAKE_CASE_								=						math.floor(math.sqrt(SCREAMING_SNAKE_CASE ) ) + 1_00
			SCREAMING_SNAKE_CASE_								=						prime_sieve(SCREAMING_SNAKE_CASE )

			SCREAMING_SNAKE_CASE_								=						0
			SCREAMING_SNAKE_CASE_								=						0
			SCREAMING_SNAKE_CASE_								=						primes[prime_index]

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

						SCREAMING_SNAKE_CASE_								=						last_prime**2
						SCREAMING_SNAKE_CASE_								=						next_prime**2

						# Get numbers divisible by lps(current)
						SCREAMING_SNAKE_CASE_								=						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)
						SCREAMING_SNAKE_CASE_								=						upper_bound - next_prime
						while current > lower_bound:
									matches_sum += current
									current -= next_prime

						# Remove the numbers divisible by both ups and lps
						SCREAMING_SNAKE_CASE_								=						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
						SCREAMING_SNAKE_CASE_								=						next_prime
						prime_index += 1

			return matches_sum


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






def lowercase    (  SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )			->							Dict:


			'''simple docstring'''







			if index == r:
						for j in range(SCREAMING_SNAKE_CASE ):
									print(data[j]       ,    end=' ' )
						print(' ' )
						return
			#  When no more elements are there to put in data[]
			if i >= n:
						return
			# current is included, put next at next location
			SCREAMING_SNAKE_CASE_								=						arr[i]
			combination_util(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    index + 1       ,    SCREAMING_SNAKE_CASE       ,    i + 1 )
			# current is excluded, replace it with
			# next (Note that i+1 is passed, but
			# index is not changed)
			combination_util(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    i + 1 )
			# The main function that prints all combinations
			# of size r in arr[] of size n. This function
			# mainly uses combinationUtil()

def lowercase    (  SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )			->							Any:


			'''simple docstring'''







			SCREAMING_SNAKE_CASE_								=						[0] * r
			# Print all combination using temporary array 'data[]'
			combination_util(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    0       ,    SCREAMING_SNAKE_CASE       ,    0 )


if __name__ == "__main__":
				# Driver code to check the function above
				SCREAMING_SNAKE_CASE__     :     Dict		    =       [10, 20, 30, 40, 50]
				print_combination(arr, len(arr), 3)
				# This code is contributed by Ambuj sahu
