

from __future__ import annotations

import collections
import pprint
from pathlib import Path







def 			A_      (    _UpperCAmelCase    ):
						return "".join(sorted(_UpperCAmelCase    )    )







def 			A_      (    _UpperCAmelCase    ):
						return word_by_signature[signature(_UpperCAmelCase    )]


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

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

if __name__ == "__main__":
						lowerCAmelCase							:  List[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))









import math
import sys







def 			A_      (    _UpperCAmelCase    ):
						if number != int(_UpperCAmelCase    ):
												raise ValueError("the value of input must be a natural number"    )
						if number < 0:
												raise ValueError("the value of input must not be a negative number"    )
						if number == 0:
												return 1
						SCREAMING_SNAKE_CASE_: List[str]  		=       [-1] * (number + 1)
						SCREAMING_SNAKE_CASE_: str  		=       0
						for i in range(1				,	number + 1    ):
												SCREAMING_SNAKE_CASE_: str  		=       sys.maxsize
												SCREAMING_SNAKE_CASE_: List[Any]  		=       int(math.sqrt(_UpperCAmelCase    )    )
												for j in range(1				,	root + 1    ):
																		SCREAMING_SNAKE_CASE_: List[str]  		=       1 + answers[i - (j**2)]
																		SCREAMING_SNAKE_CASE_: Optional[Any]  		=       min(_UpperCAmelCase				,	_UpperCAmelCase    )
												SCREAMING_SNAKE_CASE_: Dict  		=       answer
						return answers[number]


if __name__ == "__main__":
						import doctest

						doctest.testmod()






