Logic Masters Deutschland e.V.

In December 2023, I participated to the Secret Satan event on Discord. With permission of my "victim" Tob Snibbob (aka. majorprofanity), I am sharing here the gift I made for them. This is the main puzzle that was hidden and revealed after solving the first one. This one is probably a bit more challenging because it is bigger and has some extra rules (knapp daneben, build your own kakuro). Beware I also changed the rule about the 0 for this puzzle. I would advise you to solve the first one before doing this one, to get acquainted with the mechanics of the first ruleset, which will still be useful here. The rules are long because I had to describe how the jigsaw is built, but they should be very clear once you take a look at the example. I hope you enjoy !

The puzzle :

Play on Penpa

Note for solving notation : to place the kakuro cells in the grid in Penpa, go to the menu "Shape/Special 1/Kakuro"; and to place the number clues, use the "Number/Corner marks icon"

Rules :

Special Kakuro grid :

- some Kakuro clue cells have been removed from the grid. Each missing Kakuro clue cell is part of a 2x2 tile that is shown around the grid. Place each tile once in some white cells of the large grid of the puzzle, so that the grid forms a valid Kakuro grid, following all the rules below.

- the bottom right 4 tiles are special tiles made for the border of the grid, where the dash clue "-" has to go next to the border (because it obviously can not have a valid Kakuro sum clue).

- there are no other Kakuro clue cell to be placed in the grid

- all remaining white cells must be orthogonally connected.

- R5C8 (cage) has to remain a white cell (it cannot be a grey kakuro clue cell)

- R8C7 is a kakuro clue cell, it is part of one of the tiles that has to be placed, to be determined by the solver.

Kakuro :

- In each white cell of the grid, place some digits from 0-9, so that no digit repeats in a "word" (i.e. an horizontal or vertical block of white cells situated between 2 grey cells, or between a grey cell and the border of the grid).

- The numbers in grey cells indicate the sum of digits in the corresponding "word" (bottom left clue for a vertical "word", top right clue for an horizontal "word")

- a precision : if the real sum is 0, there must be a 0 in a white cell next to the clue cell.

Knapp daneben :

All the kakuro sum clues are given off-by-one, i.e. one too large or one too small.

S-cells :

Some cells in the grid are S-cells and contain 2 digits. A "word" may contain exactly one S-cell or none. There can be several S-cells in a row/column, as long as they are all in different "words". For the purpose of the kakuro sums, both digits are added to the sum.

Loop :

- Draw an oriented closed loop, joining the centers of some orthogonally connected white cells. The orientation of the loop has to be discovered.

- The loop has to pass through every S-cells.

- One of the digits in an S-Cell indicates the distance to the next S-Cell on the loop.

- The loop has to pass through all cells with a 0, including S-Cells containing a 0.

Example puzzle :

Play on Penpa (answer check)