
import math





def     _a					(						lowerCamelCase							):
 lowerCamelCase		:	Any							=      math.loga(math.sqrt(4 * positive_integer + 1							) / 2 + 1 / 2							)

 return exponent == int(lowerCamelCase							)





def     _a					(						lowerCamelCase = 1 / 1_2345							):
 lowerCamelCase		:	List[Any]							=      0
 lowerCamelCase		:	str							=      0

 lowerCamelCase		:	Any							=      3
 while True:
  lowerCamelCase		:	Optional[int]							=      (integer**2 - 1) / 4
  # if candidate is an integer, then there is a partition for k
  if partition_candidate == int(lowerCamelCase							):
   lowerCamelCase		:	Dict							=      int(lowerCamelCase							)
   total_partitions += 1
   if check_partition_perfect(lowerCamelCase							):
    perfect_partitions += 1
  if perfect_partitions > 0:
   if perfect_partitions / total_partitions < max_proportion:
    return int(lowerCamelCase							)
  integer += 1


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






from __future__ import annotations

import collections
import pprint
from pathlib import Path





def     _a					(						lowerCamelCase							):
 return "".join(sorted(lowerCamelCase							)							)





def     _a					(						lowerCamelCase							):
 return word_by_signature[signature(lowerCamelCase							)]


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

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

if __name__ == "__main__":
      _lowerCamelCase					   ={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))




