






from __future__ import annotations

from math import ceil, floor, sqrt





def 					snake_case	(  lowerCamelCase = 2_000_000       ):




	'''simple docstring'''







	__lowercase   							=	[0]
	__lowercase   							=	42

	for idx in range(1					,	ceil(sqrt(target * 2       ) * 1.1       )       ):
		triangle_numbers.append(triangle_numbers[-1] + idx       )

	# we want this to be as close as possible to target
	__lowercase   							=	0
	# the area corresponding to the grid that gives the product closest to target
	__lowercase   							=	0
	# an estimate of b, using the quadratic formula
	__lowercase   							=	42
	# the largest integer less than b_estimate
	__lowercase   							=	42
	# the largest integer less than b_estimate
	__lowercase   							=	42
	# the triangle number corresponding to b_floor
	__lowercase   							=	42
	# the triangle number corresponding to b_ceil
	__lowercase   							=	42

	for idx_a, triangle_a in enumerate(triangle_numbers[1:]					,	1       ):
		__lowercase   							=	(-1 + sqrt(1 + 8 * target / triangle_a       )) / 2
		__lowercase   							=	floor(lowerCamelCase       )
		__lowercase   							=	ceil(lowerCamelCase       )
		__lowercase   							=	triangle_numbers[b_floor]
		__lowercase   							=	triangle_numbers[b_ceil]

		if abs(target - triangle_b_first_guess * triangle_a       ) < abs(
		    target - best_product       ):
			__lowercase   							=	triangle_b_first_guess * triangle_a
			__lowercase   							=	idx_a * b_floor

		if abs(target - triangle_b_second_guess * triangle_a       ) < abs(
		    target - best_product       ):
			__lowercase   							=	triangle_b_second_guess * triangle_a
			__lowercase   							=	idx_a * b_ceil

	return area


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



"""simple docstring"""
import argparse
import importlib
from pathlib import Path


# Test all the extensions added in the setup
SCREAMING_SNAKE_CASE_					     =	[
    '''kernels/rwkv/wkv_cuda.cu''',
    '''kernels/rwkv/wkv_op.cpp''',
    '''kernels/deformable_detr/ms_deform_attn.h''',
    '''kernels/deformable_detr/cuda/ms_deform_im2col_cuda.cuh''',
    '''models/graphormer/algos_graphormer.pyx''',
]

def  lowercase     (_lowerCAmelCase						):
						# Test all the extensions added in the setup
						for file in FILES_TO_FIND:
												if not (transformers_path / file).exists():
																		return False
						return True


if __name__ == "__main__":
			SCREAMING_SNAKE_CASE_					     =	argparse.ArgumentParser()
			parser.add_argument('''--check_lib''', action='''store_true''', help='''Whether to check the build or the actual package.''')
			SCREAMING_SNAKE_CASE_					     =	parser.parse_args()
			if args.check_lib:
						SCREAMING_SNAKE_CASE_					     =	importlib.import_module('''transformers''')
						SCREAMING_SNAKE_CASE_					     =	Path(transformers_module.__file__).parent
			else:
						SCREAMING_SNAKE_CASE_					     =	Path.cwd() / '''build/lib/transformers'''
			if not test_custom_files_are_present(transformers_path):
						raise ValueError('''The built release does not contain the custom files. Fix this before going further!''')
