
class 		UpperCamelCase__  :
   def __init__(self			: Optional[int] ,    snake_case_			: int       ):
    __a			:  List[Any]		    =  n
    __a			:  Tuple		    =  [None] * self.n
    __a			:  List[Any]		    =  0  # index of the first element
    __a			:  List[str]		    =  0
    __a			:  Tuple		    =  0
   def __len__(self			: List[Any]       ):
    return self.size
   def 				lowerCAmelCase      (self			: Tuple       ):
    return self.size == 0
   def 				lowerCAmelCase      (self			: Dict       ):
    return False if self.is_empty() else self.array[self.front]
   def 				lowerCAmelCase      (self			: Optional[int] ,    snake_case_			: int       ):
    if self.size >= self.n:
     raise Exception('''QUEUE IS FULL'''       )

    __a			:  Tuple		    =  data
    __a			:  str		    =  (self.rear + 1) % self.n
    self.size += 1
    return self







   def 				lowerCAmelCase      (self			: Optional[int]       ):
    if self.size == 0:
     raise Exception('''UNDERFLOW'''       )

    __a			:  str		    =  self.array[self.front]
    __a			:  Union[str, Any]		    =  None
    __a			:  Tuple		    =  (self.front + 1) % self.n
    self.size -= 1
    return temp


def        __UpperCamelCase					(    lowerCAmelCase__							:    list[list[int | float]]  ):
 __a			:  int		    =  len(lowerCAmelCase__  )
 __a			:  Dict		    =  len(matrix[0]  )
 __a			:  Union[str, Any]		    =  min(lowerCAmelCase__  ,       lowerCAmelCase__  )

 for row in range(lowerCAmelCase__  ):
  # Check if diagonal element is not zero
  if matrix[row][row] != 0:
   # Eliminate all the elements below the diagonal
   for col in range(row + 1  ,       lowerCAmelCase__  ):
    __a			:  Dict		    =  matrix[col][row] / matrix[row][row]
    for i in range(lowerCAmelCase__  ,       lowerCAmelCase__  ):
     matrix[col][i] -= multiplier * matrix[row][i]
  else:
   # Find a non-zero diagonal element to swap rows
   __a			:  Optional[int]		    =  True
   for i in range(row + 1  ,       lowerCAmelCase__  ):
    if matrix[i][row] != 0:
     __a    ,	__a			:  Any		    =  matrix[i], matrix[row]
     __a			:  Union[str, Any]		    =  False
     break
   if reduce:
    rank -= 1
    for i in range(lowerCAmelCase__  ):
     __a			:  Optional[Any]		    =  matrix[i][rank]

            # Reduce the row pointer by one to stay on the same row
   row -= 1

 return rank


if __name__ == "__main__":
      import doctest

      doctest.testmod()
