"""simple docstring"""
from __future__ import annotations



class 					lowerCAmelCase_      :



				"""simple docstring"""

				def __init__(			self						,      lowerCAmelCase      ):






										"""simple docstring"""

										snake_case        =     TypeError(
										    'Matrices must be formed from a list of zero or more lists containing at '
										    'least one and the same number of values, each of which must be of type '
										    'int or float.'      )
										if len(lowerCAmelCase      ) != 0:
																snake_case        =     len(rows[0]      )
																if cols == 0:
																						raise error
																for row in rows:
																						if len(lowerCAmelCase      ) != cols:
																												raise error
																						for value in row:
																												if not isinstance(lowerCAmelCase						,      (int, float)      ):
																																		raise error
																snake_case        =     rows
										else:
																snake_case        =     []

				def 						snake_case	(			self      ):






										"""simple docstring"""

										return [[row[i] for row in self.rows] for i in range(len(self.rows[0]      )      )]

				@property
				def 						snake_case	(			self      ):






										"""simple docstring"""

										return len(self.rows      )

				@property
				def 						snake_case	(			self      ):






										"""simple docstring"""

										return len(self.rows[0]      )

				@property
				def 						snake_case	(			self      ):






										"""simple docstring"""

										return (self.num_rows, self.num_columns)

				@property
				def 						snake_case	(			self      ):






										"""simple docstring"""

										return self.order[0] == self.order[1]

				def 						snake_case	(			self      ):






										"""simple docstring"""

										snake_case        =     [
										    [0 if column_num != row_num else 1 for column_num in range(self.num_rows      )]
										    for row_num in range(self.num_rows      )
										]
										return Matrix(lowerCAmelCase      )

				def 						snake_case	(			self      ):






										"""simple docstring"""

										if not self.is_square:
																return 0
										if self.order == (0, 0):
																return 1
										if self.order == (1, 1):
																return int(self.rows[0][0]      )
										if self.order == (2, 2):
																return int(
																    (self.rows[0][0] * self.rows[1][1])
																    - (self.rows[0][1] * self.rows[1][0])      )
										else:
																return sum(
																    self.rows[0][column] * self.cofactors().rows[0][column]
																    for column in range(self.num_columns      )      )

				def 						snake_case	(			self      ):






										"""simple docstring"""

										return bool(self.determinant()      )

				def 						snake_case	(			self						,      lowerCAmelCase						,      lowerCAmelCase      ):






										"""simple docstring"""

										snake_case        =     [
										    [
										        self.rows[other_row][other_column]
										        for other_column in range(self.num_columns      )
										        if other_column != column
										    ]
										    for other_row in range(self.num_rows      )
										    if other_row != row
										]
										return Matrix(lowerCAmelCase      ).determinant()

				def 						snake_case	(			self						,      lowerCAmelCase						,      lowerCAmelCase      ):






										"""simple docstring"""

										if (row + column) % 2 == 0:
																return self.get_minor(lowerCAmelCase						,      lowerCAmelCase      )
										return -1 * self.get_minor(lowerCAmelCase						,      lowerCAmelCase      )

				def 						snake_case	(			self      ):






										"""simple docstring"""

										return Matrix(
										    [
										        [self.get_minor(lowerCAmelCase						,      lowerCAmelCase      ) for column in range(self.num_columns      )]
										        for row in range(self.num_rows      )
										    ]      )

				def 						snake_case	(			self      ):






										"""simple docstring"""

										return Matrix(
										    [
										        [
										            self.minors().rows[row][column]
										            if (row + column) % 2 == 0
										            else self.minors().rows[row][column] * -1
										            for column in range(self.minors().num_columns      )
										        ]
										        for row in range(self.minors().num_rows      )
										    ]      )

				def 						snake_case	(			self      ):






										"""simple docstring"""

										snake_case        =     [
										    [self.cofactors().rows[column][row] for column in range(self.num_columns      )]
										    for row in range(self.num_rows      )
										]
										return Matrix(lowerCAmelCase      )

				def 						snake_case	(			self      ):






										"""simple docstring"""

										snake_case        =     self.determinant()
										if not determinant:
																raise TypeError('Only matrices with a non-zero determinant have an inverse'      )
										return self.adjugate() * (1 / determinant)

				def __repr__(			self      ):






										"""simple docstring"""

										return str(self.rows      )

				def __str__(			self      ):






										"""simple docstring"""

										if self.num_rows == 0:
																return "[]"
										if self.num_rows == 1:
																return "[[" + ". ".join(str(self.rows[0]      )      ) + "]]"
										return (
										    "["
										    + "\n ".join(
										        [
										            '[' + '. '.join([str(lowerCAmelCase      ) for value in row]      ) + '.]'
										            for row in self.rows
										        ]      )
										    + "]"
										)

				def 						snake_case	(			self						,      lowerCAmelCase						,      lowerCAmelCase = None      ):






										"""simple docstring"""

										snake_case        =     TypeError('Row must be a list containing all ints and/or floats'      )
										if not isinstance(lowerCAmelCase						,      lowerCAmelCase      ):
																raise type_error
										for value in row:
																if not isinstance(lowerCAmelCase						,      (int, float)      ):
																						raise type_error
										if len(lowerCAmelCase      ) != self.num_columns:
																raise ValueError(
																    'Row must be equal in length to the other rows in the matrix'      )
										if position is None:
																self.rows.append(lowerCAmelCase      )
										else:
																snake_case        =     self.rows[0:position] + [row] + self.rows[position:]

				def 						snake_case	(			self						,      lowerCAmelCase						,      lowerCAmelCase = None      ):






										"""simple docstring"""

										snake_case        =     TypeError(
										    'Column must be a list containing all ints and/or floats'      )
										if not isinstance(lowerCAmelCase						,      lowerCAmelCase      ):
																raise type_error
										for value in column:
																if not isinstance(lowerCAmelCase						,      (int, float)      ):
																						raise type_error
										if len(lowerCAmelCase      ) != self.num_rows:
																raise ValueError(
																    'Column must be equal in length to the other columns in the matrix'      )
										if position is None:
																snake_case        =     [self.rows[i] + [column[i]] for i in range(self.num_rows      )]
										else:
																snake_case        =     [
																    self.rows[i][0:position] + [column[i]] + self.rows[i][position:]
																    for i in range(self.num_rows      )
																]

				def __eq__(			self						,      lowerCAmelCase      ):






										"""simple docstring"""

										if not isinstance(lowerCAmelCase						,      lowerCAmelCase      ):
																return NotImplemented
										return self.rows == other.rows

				def __ne__(			self						,      lowerCAmelCase      ):






										"""simple docstring"""

										return not self == other

				def __neg__(			self      ):






										"""simple docstring"""

										return self * -1

				def __add__(			self						,      lowerCAmelCase      ):






										"""simple docstring"""

										if self.order != other.order:
																raise ValueError('Addition requires matrices of the same order'      )
										return Matrix(
										    [
										        [self.rows[i][j] + other.rows[i][j] for j in range(self.num_columns      )]
										        for i in range(self.num_rows      )
										    ]      )

				def __sub__(			self						,      lowerCAmelCase      ):






										"""simple docstring"""

										if self.order != other.order:
																raise ValueError('Subtraction requires matrices of the same order'      )
										return Matrix(
										    [
										        [self.rows[i][j] - other.rows[i][j] for j in range(self.num_columns      )]
										        for i in range(self.num_rows      )
										    ]      )

				def __mul__(			self						,      lowerCAmelCase      ):






										"""simple docstring"""

										if isinstance(lowerCAmelCase						,      (int, float)      ):
																return Matrix(
																    [[int(element * other      ) for element in row] for row in self.rows]      )
										elif isinstance(lowerCAmelCase						,      lowerCAmelCase      ):
																if self.num_columns != other.num_rows:
																						raise ValueError(
																						    'The number of columns in the first matrix must '
																						    'be equal to the number of rows in the second'      )
																return Matrix(
																    [
																        [Matrix.dot_product(lowerCAmelCase						,      lowerCAmelCase      ) for column in other.columns()]
																        for row in self.rows
																    ]      )
										else:
																raise TypeError(
																    'A Matrix can only be multiplied by an int, float, or another matrix'      )

				def __pow__(			self						,      lowerCAmelCase      ):






										"""simple docstring"""

										if not isinstance(lowerCAmelCase						,      lowerCAmelCase      ):
																raise TypeError('A Matrix can only be raised to the power of an int'      )
										if not self.is_square:
																raise ValueError('Only square matrices can be raised to a power'      )
										if other == 0:
																return self.identity()
										if other < 0:
																if self.is_invertable():
																						return self.inverse() ** (-other)
																raise ValueError(
																    'Only invertable matrices can be raised to a negative power'      )
										snake_case        =     self
										for _ in range(other - 1      ):
																result *= self
										return result

				@classmethod
				def 						snake_case	(			cls						,      lowerCAmelCase						,      lowerCAmelCase      ):






										"""simple docstring"""

										return sum(row[i] * column[i] for i in range(len(lowerCAmelCase      )      )      )


if __name__ == "__main__":
					import doctest

					doctest.testmod()



"""simple docstring"""
import os





def 				lowerCAmelCase__      (     _UpperCamelCase    :			str = "matrix.txt"   )   ->			int:





						"""simple docstring"""






						with open(os.path.join(os.path.dirname(_UpperCamelCase   )	,     _UpperCamelCase   )   ) as in_file:
												snake_case        =     in_file.read()

						snake_case        =     [[int(_UpperCamelCase   ) for cell in row.split(','   )] for row in data.strip().splitlines()]
						snake_case        =     [[0 for cell in row] for row in grid]
						snake_case        =     len(grid[0]   )

						snake_case        =     [[0 for i in range(_UpperCamelCase   )] for j in range(_UpperCamelCase   )]
						snake_case        =     grid[0][0]
						for i in range(1	,     _UpperCamelCase   ):
												snake_case        =     grid[0][i] + dp[0][i - 1]
						for i in range(1	,     _UpperCamelCase   ):
												snake_case        =     grid[i][0] + dp[i - 1][0]

						for i in range(1	,     _UpperCamelCase   ):
												for j in range(1	,     _UpperCamelCase   ):
																		snake_case        =     grid[i][j] + min(dp[i - 1][j]	,     dp[i][j - 1]   )

						return dp[-1][-1]


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


