


"""simple docstring"""
from ..utils import DummyObject, requires_backends





class        __A       (metaclass=snake_case__):





							'''simple docstring'''

							__lowercase:						Union[str, Any]							 =      ["""keras_nlp"""]



							def __init__(			self							: Dict						,    *UpperCAmelCase_							: List[str]						,    **UpperCAmelCase_							: Any    )   ->Tuple:



														"""simple docstring"""



														requires_backends(self						,    ["""keras_nlp"""]    )







"""simple docstring"""
from collections import defaultdict
from math import gcd







def   _a			( _SCREAMING_SNAKE_CASE = 1_500_000			)      ->			int:
							snake_case_          =						defaultdict(_SCREAMING_SNAKE_CASE			)
							snake_case_          =						2
							while 2 * euclid_m * (euclid_m + 1) <= limit:
														for euclid_n in range((euclid_m % 2) + 1			,	_SCREAMING_SNAKE_CASE			,	2			):
																					if gcd(_SCREAMING_SNAKE_CASE			,	_SCREAMING_SNAKE_CASE			) > 1:
																												continue
																					snake_case_          =						2 * euclid_m * (euclid_m + euclid_n)
																					for perimeter in range(_SCREAMING_SNAKE_CASE			,	limit + 1			,	_SCREAMING_SNAKE_CASE			):
																												frequencies[perimeter] += 1
														euclid_m += 1
							return sum(1 for frequency in frequencies.values() if frequency == 1			)


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



