





def 							__snake_case							(    lowerCAmelCase_	)				->						int:

    if not grid or not grid[0]:
        raise TypeError('''The grid does not contain the appropriate information'''	)

    for cell_n in range(1 ,							len(grid[0]	)	):
        grid[0][cell_n] += grid[0][cell_n - 1]
    SCREAMING_SNAKE_CASE__											=			grid[0]

    for row_n in range(1 ,							len(lowerCAmelCase_	)	):
        SCREAMING_SNAKE_CASE__											=			grid[row_n]
        SCREAMING_SNAKE_CASE__											=			fill_row(lowerCAmelCase_ ,							lowerCAmelCase_	)
        SCREAMING_SNAKE_CASE__											=			grid[row_n]

    return grid[-1][-1]


def 							__snake_case							(    lowerCAmelCase_ ,							lowerCAmelCase_	)				->						list:
    current_row[0] += row_above[0]
    for cell_n in range(1 ,							len(lowerCAmelCase_	)	):
        current_row[cell_n] += min(current_row[cell_n - 1] ,							row_above[cell_n]	)

    return current_row


if __name__ == "__main__":
  import doctest

  doctest.testmod()






'''simple docstring'''



from collections import defaultdict

from graphs.minimum_spanning_tree_prims import prisms_algorithm as mst




def   lowercase__(			):

      """simple docstring"""






      SCREAMING_SNAKE_CASE					,    SCREAMING_SNAKE_CASE   :      str    					=						9, 14  # noqa: F841
      SCREAMING_SNAKE_CASE   :      Optional[Any]    					=						[
          [0, 1, 4],
          [0, 7, 8],
          [1, 2, 8],
          [7, 8, 7],
          [7, 6, 1],
          [2, 8, 2],
          [8, 6, 6],
          [2, 3, 7],
          [2, 5, 4],
          [6, 5, 2],
          [3, 5, 14],
          [3, 4, 9],
          [5, 4, 10],
          [1, 7, 11],
      ]

      SCREAMING_SNAKE_CASE   :      Optional[int]    					=						defaultdict(__UpperCamelCase    )
      for nodea, nodea, cost in edges:
            adjancency[nodea].append([nodea, cost]    )
            adjancency[nodea].append([nodea, cost]    )

      SCREAMING_SNAKE_CASE   :      Dict    					=						mst(__UpperCamelCase    )

      SCREAMING_SNAKE_CASE   :      Optional[int]    					=						[
          [7, 6, 1],
          [2, 8, 2],
          [6, 5, 2],
          [0, 1, 4],
          [2, 5, 4],
          [2, 3, 7],
          [0, 7, 8],
          [3, 4, 9],
      ]

      for answer in expected:
            SCREAMING_SNAKE_CASE   :      Any    					=						tuple(answer[:2]    )
            SCREAMING_SNAKE_CASE   :      List[Any]    					=						tuple(edge[::-1]    )
            assert edge in result or reverse in result


