from __future__ import annotations

from decimal import Decimal

from numpy import array







def      _a					(   lowercase__	:      list[list[float]]			):







     '''simple docstring'''


     SCREAMING_SNAKE_CASE__					:					Optional[int]      =		Decimal

     # Check if the provided matrix has 2 rows and 2 columns
     # since this implementation only works for 2x2 matrices
     if len(lowercase__			) == 2 and len(matrix[0]			) == 2 and len(matrix[1]			) == 2:
          # Calculate the determinant of the matrix
          SCREAMING_SNAKE_CASE__					:					Optional[Any]      =		float(
              d(matrix[0][0]			) * d(matrix[1][1]			) - d(matrix[1][0]			) * d(matrix[0][1]			)			)
          if determinant == 0:
               raise ValueError('This matrix has no inverse.'			)

          # Creates a copy of the matrix with swapped positions of the elements
          SCREAMING_SNAKE_CASE__					:					List[str]      =		[[0.0, 0.0], [0.0, 0.0]]
          SCREAMING_SNAKE_CASE__      ,				SCREAMING_SNAKE_CASE__					:					Union[str, Any]      =		matrix[1][1], matrix[0][0]
          SCREAMING_SNAKE_CASE__      ,				SCREAMING_SNAKE_CASE__					:					Optional[Any]      =		-matrix[1][0], -matrix[0][1]

          # Calculate the inverse of the matrix
          return [
              [(float(d(lowercase__			)			) / determinant) or 0.0 for n in row] for row in swapped_matrix
          ]
     elif (
         len(lowercase__			) == 3
         and len(matrix[0]			) == 3
         and len(matrix[1]			) == 3
         and len(matrix[2]			) == 3
     ):
          # Calculate the determinant of the matrix using Sarrus rule
          SCREAMING_SNAKE_CASE__					:					Optional[Any]      =		float(
              (
                  (d(matrix[0][0]			) * d(matrix[1][1]			) * d(matrix[2][2]			))
                  + (d(matrix[0][1]			) * d(matrix[1][2]			) * d(matrix[2][0]			))
                  + (d(matrix[0][2]			) * d(matrix[1][0]			) * d(matrix[2][1]			))
              )
              - (
                  (d(matrix[0][2]			) * d(matrix[1][1]			) * d(matrix[2][0]			))
                  + (d(matrix[0][1]			) * d(matrix[1][0]			) * d(matrix[2][2]			))
                  + (d(matrix[0][0]			) * d(matrix[1][2]			) * d(matrix[2][1]			))
              )			)
          if determinant == 0:
               raise ValueError('This matrix has no inverse.'			)

          # Creating cofactor matrix
          SCREAMING_SNAKE_CASE__					:					Optional[int]      =		[
              [d(0.0			), d(0.0			), d(0.0			)],
              [d(0.0			), d(0.0			), d(0.0			)],
              [d(0.0			), d(0.0			), d(0.0			)],
          ]
          SCREAMING_SNAKE_CASE__					:					Dict      =		(d(matrix[1][1]			) * d(matrix[2][2]			)) - (
              d(matrix[1][2]			) * d(matrix[2][1]			)
          )
          SCREAMING_SNAKE_CASE__					:					List[Any]      =		-(
              (d(matrix[1][0]			) * d(matrix[2][2]			)) - (d(matrix[1][2]			) * d(matrix[2][0]			))
          )
          SCREAMING_SNAKE_CASE__					:					Optional[Any]      =		(d(matrix[1][0]			) * d(matrix[2][1]			)) - (
              d(matrix[1][1]			) * d(matrix[2][0]			)
          )
          SCREAMING_SNAKE_CASE__					:					Dict      =		-(
              (d(matrix[0][1]			) * d(matrix[2][2]			)) - (d(matrix[0][2]			) * d(matrix[2][1]			))
          )
          SCREAMING_SNAKE_CASE__					:					Dict      =		(d(matrix[0][0]			) * d(matrix[2][2]			)) - (
              d(matrix[0][2]			) * d(matrix[2][0]			)
          )
          SCREAMING_SNAKE_CASE__					:					Optional[Any]      =		-(
              (d(matrix[0][0]			) * d(matrix[2][1]			)) - (d(matrix[0][1]			) * d(matrix[2][0]			))
          )
          SCREAMING_SNAKE_CASE__					:					int      =		(d(matrix[0][1]			) * d(matrix[1][2]			)) - (
              d(matrix[0][2]			) * d(matrix[1][1]			)
          )
          SCREAMING_SNAKE_CASE__					:					Optional[int]      =		-(
              (d(matrix[0][0]			) * d(matrix[1][2]			)) - (d(matrix[0][2]			) * d(matrix[1][0]			))
          )
          SCREAMING_SNAKE_CASE__					:					Any      =		(d(matrix[0][0]			) * d(matrix[1][1]			)) - (
              d(matrix[0][1]			) * d(matrix[1][0]			)
          )

          # Transpose the cofactor matrix (Adjoint matrix)
          SCREAMING_SNAKE_CASE__					:					Tuple      =		array(lowercase__			)
          for i in range(3			):
               for j in range(3			):
                    SCREAMING_SNAKE_CASE__					:					Optional[Any]      =		cofactor_matrix[j][i]

        # Inverse of the matrix using the formula (1/determinant) * adjoint matrix
          SCREAMING_SNAKE_CASE__					:					int      =		array(lowercase__			)
          for i in range(3			):
               for j in range(3			):
                    inverse_matrix[i][j] /= d(lowercase__			)

        # Calculate the inverse of the matrix
          return [[float(d(lowercase__			)			) or 0.0 for n in row] for row in inverse_matrix]
     raise ValueError('Please provide a matrix of size 2x2 or 3x3.'			)










from __future__ import annotations

_UpperCAmelCase							:			Tuple        =							"""#"""

class   lowerCAmelCase				:
 def __init__( self    : Optional[Any]      )     ->      None:
     lowerCamelCase__       : dict   					=						{}
 def 	A_      ( self    : Optional[int]     ,	UpperCAmelCase    : str      )     ->      None:
     lowerCamelCase__       : int   					=						self._trie
     for char in text:
         if char not in trie:
             lowerCamelCase__       : Tuple   					=						{}
         lowerCamelCase__       : Dict   					=						trie[char]
     lowerCamelCase__       : Optional[int]   					=						True
 def 	A_      ( self    : Optional[int]     ,	UpperCAmelCase    : str      )     ->      tuple | list:
     lowerCamelCase__       : Tuple   					=						self._trie
     for char in prefix:
         if char in trie:
             lowerCamelCase__       : List[Any]   					=						trie[char]
         else:
             return []
     return self._elements(UpperCAmelCase      )







 def 	A_      ( self    : List[str]     ,	UpperCAmelCase    : dict      )     ->      tuple:
     lowerCamelCase__       : Optional[Any]   					=						[]
     for c, v in d.items():
         lowerCamelCase__       : Optional[Any]   					=						[' '] if c == END else [(c + s) for s in self._elements(UpperCAmelCase      )]
         result.extend(UpperCAmelCase      )
     return tuple(UpperCAmelCase      )


_UpperCAmelCase							:			str        =							Trie()
_UpperCAmelCase							:			Tuple        =							("""depart""", """detergent""", """daring""", """dog""", """deer""", """deal""")
for word in words:
    trie.insert_word(word)


def 			SCREAMING_SNAKE_CASE (			_UpperCAmelCase					)     ->	tuple:
    lowerCamelCase__       : str   					=						trie.find_word(_UpperCAmelCase					)
    return tuple(string + word for word in suffixes					)


def 			SCREAMING_SNAKE_CASE (			)     ->	None:
    print(autocomplete_using_trie('de'					)					)


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()





