"""simple docstring"""






def 						a_		(      lowerCamelCase      ,    lowerCamelCase ):

				# Check if the input is valid
				if not len(lowerCamelCase ) == len(lowerCamelCase ) == 3:
								raise ValueError('Please enter a valid equation.' )
				if equationa[0] == equationa[1] == equationa[0] == equationa[1] == 0:
								raise ValueError('Both a & b of two equations can\'t be zero.' )

				# Extract the coefficients
				UpperCAmelCase__   ,			UpperCAmelCase__   ,			UpperCAmelCase__    =							equationa
				UpperCAmelCase__   ,			UpperCAmelCase__   ,			UpperCAmelCase__    =							equationa

				# Calculate the determinants of the matrices
				UpperCAmelCase__    =							aa * ba - aa * ba
				UpperCAmelCase__    =							ca * ba - ca * ba
				UpperCAmelCase__    =							aa * ca - aa * ca

				# Check if the system of linear equations has a solution (using Cramer's rule)
				if determinant == 0:
								if determinant_x == determinant_y == 0:
												raise ValueError('Infinite solutions. (Consistent system)' )
								else:
												raise ValueError('No solution. (Inconsistent system)' )
				else:
								if determinant_x == determinant_y == 0:
												# Trivial solution (Inconsistent system)
												return (0.0, 0.0)
								else:
												UpperCAmelCase__    =							determinant_x / determinant
												UpperCAmelCase__    =							determinant_y / determinant
												# Non-Trivial Solution (Consistent system)
												return (x, y)




"""simple docstring"""






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

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

if __name__ == "__main__":
						lowerCAmelCase__						:						int		  =			{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))



