
from math import sqrt



def   __lowerCAmelCase    (				UpperCAmelCase__					:   int = 1_0_0_0_0_0_0							)	->     int:
							lowerCamelCase_					=       0
							lowerCamelCase_					=       0
							lowerCamelCase_					=       42

							while num_cuboids <= limit:
														max_cuboid_size += 1
														for sum_shortest_sides in range(2      ,					2 * max_cuboid_size + 1							):
																					if sqrt(sum_shortest_sides**2 + max_cuboid_size**2							).is_integer():
																												num_cuboids += (
																												    min(UpperCAmelCase__      ,					sum_shortest_sides // 2							)
																												    - max(1      ,					sum_shortest_sides - max_cuboid_size							)
																												    + 1
																												)

							return max_cuboid_size


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







import importlib.metadata
import operator
import re
import sys
from typing import Optional

from packaging import version


lowercase   =	{
    '''<''': operator.lt,
    '''<=''': operator.le,
    '''==''': operator.eq,
    '''!=''': operator.ne,
    '''>=''': operator.ge,
    '''>''': operator.gt,
}



def   __lowerCAmelCase    (				UpperCAmelCase__					:   Tuple      ,					UpperCAmelCase__					:   int      ,					UpperCAmelCase__					:   Optional[int]      ,					UpperCAmelCase__					:   Optional[int]      ,					UpperCAmelCase__					:   Optional[int]      ,					UpperCAmelCase__					:   int							)	->     Union[str, Any]:
							if got_ver is None or want_ver is None:
														raise ValueError(
														    F'''Unable to compare versions for {requirement}: need={want_ver} found={got_ver}. This is unusual. Consider'''
														    F''' reinstalling {pkg}.'''							)
							if not ops[op](version.parse(UpperCAmelCase__							)      ,					version.parse(UpperCAmelCase__							)							):
														raise ImportError(
														    F'''{requirement} is required for a normal functioning of this module, but found {pkg}=={got_ver}.{hint}'''							)



def   __lowerCAmelCase    (				UpperCAmelCase__					:   str      ,					UpperCAmelCase__					:   Optional[str] = None							)	->     None:
							lowerCamelCase_					=       F'''\n{hint}''' if hint is not None else """"""

							# non-versioned check
							if re.match(R"""^[\w_\-\d]+$"""      ,					UpperCAmelCase__							):
														lowerCamelCase_	, lowerCamelCase_	, lowerCamelCase_					=       requirement, None, None
							else:
														lowerCamelCase_					=       re.findall(R"""^([^!=<>\s]+)([\s!=<>]{1,2}.+)"""      ,					UpperCAmelCase__							)
														if not match:
																					raise ValueError(
																					    """requirement needs to be in the pip package format, .e.g., package_a==1.23, or package_b>=1.23, but"""
																					    F''' got {requirement}'''							)
														lowerCamelCase_	, lowerCamelCase_					=       match[0]
														lowerCamelCase_					=       want_full.split(""","""							)  # there could be multiple requirements
														lowerCamelCase_					=       {}
														for w in want_range:
																					lowerCamelCase_					=       re.findall(R"""^([\s!=<>]{1,2})(.+)"""      ,					UpperCAmelCase__							)
																					if not match:
																												raise ValueError(
																												    """requirement needs to be in the pip package format, .e.g., package_a==1.23, or package_b>=1.23,"""
																												    F''' but got {requirement}'''							)
																					lowerCamelCase_	, lowerCamelCase_					=       match[0]
																					lowerCamelCase_					=       want_ver
																					if op not in ops:
																												raise ValueError(F'''{requirement}: need one of {list(ops.keys()							)}, but got {op}'''							)

    # special case
							if pkg == "python":
														lowerCamelCase_					=       """.""".join([str(UpperCAmelCase__							) for x in sys.version_info[:3]]							)
														for op, want_ver in wanted.items():
																					_compare_versions(UpperCAmelCase__      ,					UpperCAmelCase__      ,					UpperCAmelCase__      ,					UpperCAmelCase__      ,					UpperCAmelCase__      ,					UpperCAmelCase__							)
														return

							# check if any version is installed
							try:
														lowerCamelCase_					=       importlib.metadata.version(UpperCAmelCase__							)
							except importlib.metadata.PackageNotFoundError:
														raise importlib.metadata.PackageNotFoundError(
														    F'''The \'{requirement}\' distribution was not found and is required by this application. {hint}'''							)

							# check that the right version is installed if version number or a range was provided
							if want_ver is not None:
														for op, want_ver in wanted.items():
																					_compare_versions(UpperCAmelCase__      ,					UpperCAmelCase__      ,					UpperCAmelCase__      ,					UpperCAmelCase__      ,					UpperCAmelCase__      ,					UpperCAmelCase__							)



def   __lowerCAmelCase    (				UpperCAmelCase__					:   List[str]							)	->     Dict:
							lowerCamelCase_					=       """Try: pip install transformers -U or pip install -e '.[dev]' if you're working with git main"""
							return require_version(UpperCAmelCase__      ,					UpperCAmelCase__							)





