





import math





def lowerCAmelCase__(__snake_case							)       ->   list:







	'''simple docstring'''







	lowerCamelCase__              =	[True] * n
	lowerCamelCase__              =	False
	lowerCamelCase__              =	False
	lowerCamelCase__              =	True

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

	lowerCamelCase__              =	[2]

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

	return primes





def lowerCAmelCase__(__snake_case = 999966663333							)       ->   int:







	'''simple docstring'''







	lowerCamelCase__              =	math.floor(math.sqrt(__snake_case							)							) + 100
	lowerCamelCase__              =	prime_sieve(__snake_case							)

	lowerCamelCase__              =	0
	lowerCamelCase__              =	0
	lowerCamelCase__              =	primes[prime_index]

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

		lowerCamelCase__              =	last_prime**2
		lowerCamelCase__              =	next_prime**2

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

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

	return matches_sum


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










def lowerCAmelCase__(__snake_case							)       ->   int:







	'''simple docstring'''







	if not grid or not grid[0]:
		raise TypeError('''The grid does not contain the appropriate information'''							)

	for cell_n in range(1 ,len(grid[0]							)							):
		grid[0][cell_n] += grid[0][cell_n - 1]
	lowerCamelCase__              =	grid[0]

	for row_n in range(1 ,len(__snake_case							)							):
		lowerCamelCase__              =	grid[row_n]
		lowerCamelCase__              =	fill_row(__snake_case ,__snake_case							)
		lowerCamelCase__              =	grid[row_n]

	return grid[-1][-1]





def lowerCAmelCase__(__snake_case ,__snake_case							)       ->   list:







	'''simple docstring'''







	current_row[0] += row_above[0]
	for cell_n in range(1 ,len(__snake_case							)							):
		current_row[cell_n] += min(current_row[cell_n - 1] ,row_above[cell_n]							)

	return current_row


if __name__ == "__main__":
			import doctest

			doctest.testmod()



