Logic Masters Deutschland e.V.

- Wait, I thought you said that you'll be back in mid-April only...?
+ Well yes, but actually no.


For the following puzzle, I revisited again one of the ideas from one of my 6x6 packs in the past and then tried to make a cool puzzle out of it.

This is my first attempt with the 'extended' liar sum concept, I tried to make all the deductions fair and nice enough for this starter. The second one shall revolve around cryptic clues, but for now I hope you enjoy this first puzzle!



Rules:

- Normal Sudoku rules apply: every row, column and 3x3 box contains digits from 1 to 9 each once.

- An outside clue of a row/column gives the sum of the digits before digit 9 in its row/column, starting from that clue's respective direction. Some rows and columns have 2 outside clues in their ends.
For each of those rows/columns, one of the two outside clues must be true (gives a correct value) and the other one must be false (gives an incorrect value), which one is which is needed to be deduced.

- For a cell marked by a cage in the grid, the small number in that cage gives the sum of all digits before digit 9 in its row or column, starting from and including the cage cell itself.
But, it's required to deduce whether that cage cell only gives the correct sum in its row or column (i.e if a cage cell gives the correct sum in its row, it mustn't give that sum in its column and vice versa).

Inequality signs imply the greater than X / smaller than X relationship.

To demonstrate how the rules work, here's an example image. In this image, green stands for correct sum and red stands for incorrect sums for the respective types of clue.

Puzzle:

F-puzzle link

Penpa plus (alt. link)

CTC app (alt. link)

Good luck and have fun solving!