
"""simple docstring"""



from __future__ import annotations

import collections
import pprint
from pathlib import Path
def 					_UpperCAmelCase      ( __lowerCamelCase   :       str		)     ->					str:
  return "".join(sorted(__lowerCamelCase		)		)
def 					_UpperCAmelCase      ( __lowerCamelCase   :       str		)     ->					list[str]:
  return word_by_signature[signature(__lowerCamelCase		)]


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

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

if __name__ == "__main__":
 UpperCAmelCase__          = {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"""



def 					_UpperCAmelCase      ( __lowerCamelCase   :       int = 1_00_00_00		)     ->					int:
  _snake_case					     =       limit + 1
  _snake_case					     =       [0] * limit
  for first_term in range(1 ,					__lowerCamelCase		):
    for n in range(__lowerCamelCase ,					__lowerCamelCase ,					__lowerCamelCase		):
      _snake_case					     =       first_term + n / first_term
      if common_difference % 4:  # d must be divisble by 4
        continue
      else:
        common_difference /= 4
        if (
            first_term > common_difference
            and first_term < 4 * common_difference
        ):  # since x,y,z are positive integers
          frequency[n] += 1  # so z>0 and a>d ,also 4d<a

  _snake_case					     =       sum(1 for x in frequency[1:limit] if x == 10		)

  return count


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



