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Modulo Cages: A Sudoku with a lot of maths

11 Aug 2024 · 1,230 views

Killer XV
29:09

Case notes

Today's Video:

I had this puzzle open to solve for a while, and I am glad I solved it. If you're not a gifted mathematician it may take a while to get going, but once you do it's a smooth solve.

Link to Play:

Modulo Cages by wuc https://tinyurl.com/SudokuSleuthModuloCages

Rules:

Standard sudoku rules apply: The digits 1 through 9 appear in every row, column, and box.

Modulo Cages: Digits in cages have to be congruent modulo the given number n in their top left corner. This means, that all these numbers, when you divide each of them by n, the leftover piece - the remainder- is the same for all digits in the cage.

E.g. Digits in a n=2 cage could be 1,7,9 because all these numbers have the same remainder 1 when divided by 2. Digits in a n=6 cage could be 2, 8 because they both have the remainder 2 when divided by 6.

Digits CAN repeat in these Modulo Cages.

XV-Dominos: Cells separated by an X must sum to 10. Cells separated by a V must sum to 5. Not all Xs and Vs are necessarily given (no negative constraint).

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