





from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


UpperCamelCase__											= {
    "configuration_nllb_moe": [
        "NLLB_MOE_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "NllbMoeConfig",
    ]
}

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	UpperCamelCase__											= [
	    "NLLB_MOE_PRETRAINED_MODEL_ARCHIVE_LIST",
	    "NllbMoeForConditionalGeneration",
	    "NllbMoeModel",
	    "NllbMoePreTrainedModel",
	    "NllbMoeTop2Router",
	    "NllbMoeSparseMLP",
	]


if TYPE_CHECKING:
	from .configuration_nllb_moe import (
	    NLLB_MOE_PRETRAINED_CONFIG_ARCHIVE_MAP,
	    NllbMoeConfig,
	)

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_nllb_moe import (
		    NLLB_MOE_PRETRAINED_MODEL_ARCHIVE_LIST,
		    NllbMoeForConditionalGeneration,
		    NllbMoeModel,
		    NllbMoePreTrainedModel,
		    NllbMoeSparseMLP,
		    NllbMoeTopaRouter,
		)


else:
	import sys

	UpperCamelCase__											= _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)











import math





def     _UpperCamelCase     (a__   :int       ):






							"""simple docstring"""





							UpperCamelCase__				     =			[True] * n
							UpperCamelCase__				     =			False
							UpperCamelCase__				     =			False
							UpperCamelCase__				     =			True

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

							UpperCamelCase__				     =			[2]

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

							return primes





def     _UpperCamelCase     (a__   :int = 9999_6666_3333       ):






							"""simple docstring"""





							UpperCamelCase__				     =			math.floor(math.sqrt(a__       )       ) + 100
							UpperCamelCase__				     =			prime_sieve(a__       )

							UpperCamelCase__				     =			0
							UpperCamelCase__				     =			0
							UpperCamelCase__				     =			primes[prime_index]

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

														UpperCamelCase__				     =			last_prime**2
														UpperCamelCase__				     =			next_prime**2

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

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

							return matches_sum


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




