Logic Masters Deutschland e.V.

This is a harder Slingshot puzzle. If you're not familiar with this ruleset, consider trying another one is this series first.

Thank you for your amazing response to these puzzles.

Normal Sudoku rules apply.

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.

Furthermore, if the arrow is black, it creates a virtual killer cage from the arrow cell to the projected digit's cell. The sum of the digits in the cage is the product of the arrow cell's digit and the projected digit.

Penpa-Edit link for this puzzle to play it online.
The cell at the "tail" of an arrow in the Penpa grid is the one on the side of the arrow.
Killer slinghots are marked with a black shogi piece.