Logic Masters Deutschland e.V.

Cycle Thermo Killer

(Published on 7. October 2021, 06:01 by SirSchmoopy)

Links:

CTC

F-Puzzles

Standard Rules:

Normal Sudoku, killer, and thermo rules apply

Cycle Definitions:

Let a cycle be the horizontal path taken starting with a digit A in column X, then looking at digit B in Column A, then digit C in column B etc.

Let the order of a cycle be the number of unique digits contained in a cycle. For instance, the digits 1, 5, and 9 in a valid 1-5-9 puzzle are always contained in an order 2 cycle.

Cycle Rules:

Along with normal thermometer rules, the order of the cycles along thermometers also strictly increases starting from the bulb

Along with normal killer rules, the orders of cycles of cells inside a cage sum to the indicated amount. Orders cannot repeat within a cage.

Examples:

See below for a killer cage and thermo which are both valid under these constraints. Cycles are illustrated in red. Note that for the killer cage, the orders of the cycles aren't necessarily the same as the value of the digits, but the sum does add to the indicated amount (3+7 = 2+8 = 10)

Solution code: Row 2 + Row 3, no spaces (e.g. 123456789456789123)


Solved by Arashdeep Singh, cmb, Piatato, kaitoJD, twobear, starwarigami
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Comments

Last changed on 9. October 2021, 22:00

on 7. October 2021, 23:16 by cmb
Wow, what a ride.
Beautiful throughout.

[SirSchmoopy] - Thank you! I'm glad to hear you enjoyed it :)

Last changed on 9. October 2021, 21:59

on 7. October 2021, 21:29 by Arashdeep Singh
Very enjoyable as usual :)

[Sir Schmoopy] - Thank you so much for the kind feedback! I'm glad you've enjoyed this series of puzzles. i'm going to keep trying to make more of them in the hopes that they catch on, I haven't been able to get many solves yet, but I think there's some really neat logic this can allow for so i'm going to keep at it.

Difficulty:3
Rating:N/A
Solved:6 times
Observed:7 times
ID:0007U3

Variant combination Online solving tool

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Solution code:

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