'''simple docstring'''




from __future__ import annotations

class 	_lowercase:



   """simple docstring"""





   def __init__(				self:     Union[str, Any]      ,a:     str      ,a:     str						):
    __UpperCAmelCase								=       text, pattern
    __UpperCAmelCase								=       len(_a						), len(_a						)





   def       snake_case						(				self:     Optional[int]      ,a:     str						):

    for i in range(self.patLen - 1      ,-1      ,-1						):
     if char == self.pattern[i]:
      return i
    return -1





   def       snake_case						(				self:     Tuple      ,a:     int						):

    for i in range(self.patLen - 1      ,-1      ,-1						):
     if self.pattern[i] != self.text[current_pos + i]:
      return current_pos + i
    return -1





   def       snake_case						(				self:     str						):
    # searches pattern in text and returns index positions
    __UpperCAmelCase								=       []
    for i in range(self.textLen - self.patLen + 1						):
     __UpperCAmelCase								=       self.mismatch_in_text(_a						)
     if mismatch_index == -1:
      positions.append(_a						)
     else:
      __UpperCAmelCase								=       self.match_in_pattern(self.text[mismatch_index]						)
      __UpperCAmelCase								=       (
          mismatch_index - match_index
      )  # shifting index lgtm [py/multiple-definition]
    return positions




_UpperCamelCase					:		Dict							      =		'ABAABA'
_UpperCamelCase					:		Dict							      =		'AB'
_UpperCamelCase					:		List[str]							      =		BoyerMooreSearch(text, pattern)
_UpperCamelCase					:		Optional[Any]							      =		bms.bad_character_heuristic()

if len(positions) == 0:
     print('No match found')
else:
     print('Pattern found in following positions: ')
     print(positions)








'''simple docstring'''





def 			a_	(				_lowerCAmelCase			,_lowerCAmelCase			) -> tuple[float, float]:

  # 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
  __lowerCamelCase			,__lowerCamelCase			,__lowerCamelCase			:			Union[str, Any]       			=					equationa
  __lowerCamelCase			,__lowerCamelCase			,__lowerCamelCase			:			Any       			=					equationa

  # Calculate the determinants of the matrices
  __lowerCamelCase			:			Union[str, Any]       			=					aa * ba - aa * ba
  __lowerCamelCase			:			Dict       			=					ca * ba - ca * ba
  __lowerCamelCase			:			List[str]       			=					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:
      __lowerCamelCase			:			Tuple       			=					determinant_x / determinant
      __lowerCamelCase			:			Union[str, Any]       			=					determinant_y / determinant
      # Non-Trivial Solution (Consistent system)
      return (x, y)






