The Dragon's Wrath

Back swirled the dragon. A sweep of his tail and the roof of the Great House crumbled and smashed down. Flames unquenchable sprang high into the night. Another swoop and another, and another house and then another sprang afire and fell; and still no arrow hindered Smaug or hurt him more than a fly from the marshes.

Normal sudoku rules apply.

Begin by writing digits into the cage marked "Mithril" from the corresponding digits in row 8 of the previous puzzle.

The flames are a set of digits 1-9.

If an arrow is present in a cell, the digit in the cell the arrow comes from appears in the grid in the direction of the arrow at a distance of N cells, where N is the digit in the arrow's cell.