


'''simple docstring'''
from __future__ import annotations

import collections
import pprint
from pathlib import Path


def 			_lowercase       (				UpperCamelCase__       :					str			):
 return "".join(sorted(UpperCamelCase__			)			)


def 			_lowercase       (				UpperCamelCase__       :					str			):
 return word_by_signature[signature(UpperCamelCase__			)]


UpperCAmelCase_ :     str								=      Path(__file__).parent.joinpath('words.txt').read_text(encoding='utf-8')
UpperCAmelCase_ :     Tuple								=      sorted({word.strip().lower() for word in data.splitlines()})

UpperCAmelCase_ :     Tuple								=      collections.defaultdict(list)
for word in word_list:
 word_by_signature[signature(word)].append(word)

if __name__ == "__main__":
 UpperCAmelCase_ :     str								=      {word: anagram(word) for word in word_list if len(anagram(word)) > 1}

 with open('anagrams.txt', 'w') as file:
  file.write('all_anagrams = \n ')
  file.write(pprint.pformat(all_anagrams))










'''simple docstring'''
from collections import defaultdict
from math import ceil, sqrt


def 			_lowercase       (				UpperCamelCase__       :					int = 1000000,				UpperCamelCase__       :					int = 10			):
 __A  :		defaultdict       =			defaultdict(UpperCamelCase__			)

 for outer_width in range(3,				(t_limit // 4) + 2			):
  if outer_width * outer_width > t_limit:
   __A  :		Optional[int]       =			max(
       ceil(sqrt(outer_width * outer_width - t_limit			)			),				1			)
  else:
   __A  :		Optional[Any]       =			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() = }''')






