Logic Masters Deutschland e.V.

The following puzzle is the second part of my previous Liar Sum Before 9 puzzle. In this one, I utilized the power of cryptic clues and turned the main concept into an interesting puzzle.

The puzzle may be challenging for those who aren't really familiar with the concept but after some initial works, it shall be more engaging and rewarding to you. For now, I hope you enjoy this one!


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).

- Each letter, as well as a question mark (?), in the grid represents a digit from 0-9. Different letters represent different digits. For the case of two-digit number, the first digit is never zero (0).
Red D in R6C5 just means that digit D has to be filled in R6C5.

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:

Penpa plus - CTC app (alt. link)

Good luck and have fun solving!