






from ....utils import logging


a_							=    logging.get_logger(__name__)


class      lowercase__     (			_UpperCAmelCase	):

	def __init__(							self		,    __UpperCAmelCase		,    __UpperCAmelCase=None		,    __UpperCAmelCase=2048       )->					Optional[int]:







							'''simple docstring'''





							lowerCAmelCase__       =						config.__dict__
							lowerCAmelCase__       =						modal_hidden_size
							if num_labels:
													lowerCAmelCase__       =						num_labels














from collections import defaultdict
from math import ceil, sqrt


def        _a  (     UpperCamelCase_					:				int = 1_000_000    ,   UpperCamelCase_					:				int = 10   ) ->   int:
						"""simple docstring"""







						lowerCAmelCase__       =						defaultdict(UpperCamelCase_   )

						for outer_width in range(3    ,   (t_limit // 4) + 2   ):
												if outer_width * outer_width > t_limit:
																		lowerCAmelCase__       =						max(
																		    ceil(sqrt(outer_width * outer_width - t_limit   )   )    ,   1   )
												else:
																		lowerCAmelCase__       =						1

												hole_width_lower_bound += (outer_width - hole_width_lower_bound) % 2

												for hole_width in range(UpperCamelCase_    ,   outer_width - 1    ,   2   ):
																		count[outer_width * outer_width - hole_width * hole_width] += 1

						return sum(1 for n in count.values() if 1 <= n <= 10   )


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






