Logic Masters Deutschland e.V.

I always wanted to set a killer sudoku where none of the cages or cage totals are given...

Rules

Normal sudoku rules apply. Place a pentomino (ie: an orthogonally connected set of 5 cells) within each of the non-shaded sudoku boxes such that:

• Each pentomino has a different shape (regardless of rotation or reflection).
• The number of sides/edges in the perimeter of each pentomino is at least 2 greater than the number of the sudoku box containing it (eg: a T pentomino has 8 sides/edges, so can only live in boxes 2-6).
• The digits in each pentomino sum to a total which is even, unique across the grid (ie: no 2 pentominoes have the same sum), and a multiple of the box number containing it.

The two extra areas are intended for note taking. You should clear these before checking your solution.

Please leave a comment if you enjoy this puzzle.