
"""simple docstring"""


import os






def    _snake_case					(		snake_case__ :  str = "input.txt"  ):

	with open(os.path.join(os.path.dirname(snake_case__  )						,   snake_case__  )  ) as input_file:
		A     = [
		    [int(snake_case__  ) for element in line.split(','  )]
		    for line in input_file.readlines()
		]

	A     = len(snake_case__  )
	A     = len(matrix[0]  )

	A     = [[-1 for _ in range(snake_case__  )] for _ in range(snake_case__  )]
	for i in range(snake_case__  ):
		A     = matrix[i][0]

	for j in range(1						,   snake_case__  ):
		for i in range(snake_case__  ):
			A     = minimal_path_sums[i][j - 1] + matrix[i][j]

		for i in range(1						,   snake_case__  ):
			A     = min(
			    minimal_path_sums[i][j]						,   minimal_path_sums[i - 1][j] + matrix[i][j]  )

		for i in range(rows - 2						,   -1						,   -1  ):
			A     = min(
			    minimal_path_sums[i][j]						,   minimal_path_sums[i + 1][j] + matrix[i][j]  )

	return min(minimal_path_sums_row[-1] for minimal_path_sums_row in minimal_path_sums  )


if __name__ == "__main__":
		print(F"""{solution() = }""")







from __future__ import annotations






class 						lowercase_   :






      '''simple docstring'''




      def __init__( self :		List[str]					,   __UpperCAmelCase :		int    )       ->None:




       """simple docstring"""


       a						    = order

       # a_{0} ... a_{k}
       a						    = [1.0] + [0.0] * order
       # b_{0} ... b_{k}
       a						    = [1.0] + [0.0] * order

       # x[n-1] ... x[n-k]
       a						    = [0.0] * self.order
       # y[n-1] ... y[n-k]
       a						    = [0.0] * self.order







      def  __lowerCAmelCase   ( self :		Union[str, Any]					,   __UpperCAmelCase :		list[float]					,   __UpperCAmelCase :		list[float]    )       ->None:




       """simple docstring"""


       if len(__UpperCAmelCase    ) < self.order:
        a						    = [1.0, *a_coeffs]

       if len(__UpperCAmelCase    ) != self.order + 1:
        a						    = (
            F"""Expected a_coeffs to have {self.order + 1} elements """
            F"""for {self.order}-order filter, got {len(__UpperCAmelCase    )}"""
        )
        raise ValueError(__UpperCAmelCase    )

       if len(__UpperCAmelCase    ) != self.order + 1:
        a						    = (
            F"""Expected b_coeffs to have {self.order + 1} elements """
            F"""for {self.order}-order filter, got {len(__UpperCAmelCase    )}"""
        )
        raise ValueError(__UpperCAmelCase    )

       a						    = a_coeffs
       a						    = b_coeffs







      def  __lowerCAmelCase   ( self :		Any					,   __UpperCAmelCase :		float    )       ->float:




       """simple docstring"""


       a						    = 0.0

       # Start at index 1 and do index 0 at the end.
       for i in range(1					,   self.order + 1    ):
        result += (
            self.b_coeffs[i] * self.input_history[i - 1]
            - self.a_coeffs[i] * self.output_history[i - 1]
        )

       a						    = (result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

       a						    = self.input_history[:-1]
       a						    = self.output_history[:-1]

       a						    = sample
       a						    = result

       return result


