Knightscicles
(Published on 16. January 2022, 20:32 by SirSchmoopy)
Special thanks to cornish-john from the CTC discord server for helping to test this.
Links:
- Anti-knight: Digits cannot repeat when separated by a single chess knight's move.
- Thermo: Along thermometers, digits increase starting from the bulb
- Killer: Digits in cages sum to the indicated amount (if given). Digits cannot repeat within cages.
Cycle Definitions:
- Let a cycle be the horizontal path of cells along a single row in the grid created by starting with a cell in column X with digit A, then the cell in column A with digit B, then the cell in column B with digit C, etc. until reaching a cell with digit X which points back to the start of the cycle
- Let the order of a cycle be the number of unique cells contained in a cycle.
Cycle Rules:
- Cyclometers: In addition to normal thermo rules, the order of the cycles strictly increase along a thermometer.
- Cycle killers: In addition to normal killer rules, the order of cycles within a cage equals the cages total (so in single cell cages, the order of the cell's cycle is equal to its digit). Orders of cycles cannot repeat within a cage.
Examples:
For a specific example, in a standard 1-5-9 Sudoku, All digits in column 1 are part of an order 2 cycle (with the exception of the 1 in column 1 which is an order 1 cycle), as the digit points to the column in the row which contains the 1, and that cell with the 1 then points back to column 1 where you began, creating an order 2 cycle.
You can also see one of my previous puzzles for a walkthrough of a 6x6 which may help familiarize yourself with the concept of cycles.
Solution code: Row 1+ Row 7 (18 digits, no spaces)
Comments
on 22. April 2024, 20:43 by Fractl
Pretty hard but satisfying solve! I loved it.
on 29. January 2022, 18:00 by Arashdeep Singh
Just found that there is a new cycle puzzle by you and it was amazing. Had a lot of fun solving it.
