Activated Cage Totals
(Published on 8. November 2024, 14:41 by RockyRoer)
The Rules:
- [Sudoku] Normal sudoku rules apply - fill every row, column and box with the digits from 1-9 once each.
- [Active Cells] Every cell that is in the x'th position into its row or column where x is the digit on the border is considered an active cell. Examples:
- If R3C1 is 5, then R3C5 is an active cell.
- If R1C1 is 7, then both R7c1 and R1c7 are active cells.
In this puzzle, every active cell has an activation product which is x times y, where y is the value in the active cell and x is the value of the cell on the border which activated that cell. Examples:
- If R3C1 is 5, and R3C5 is 8, then the activation value is 40.
- If R3C1 is 1, then R3C1 is an active cell, and its activation value is 1.
- [Killer] In cages, digits cannot repeat, and must sum to totals that must be deduced. Every cage contains at least one active cell, and the cage's total is equal to that cell's activation value. If a cage contains more than one active cell, each active cell in that cage must produce the same activation values.
Note: Active cells outside of cages are meaningless, and may or may not contain contradictory activation values.
The Puzzle:
Try it on Sven's Sudoku Pad.
Solution code: The active cells in rows 1 2 and 3. (?? digits)
Solved by pms_headache, SKORP17, Morolian, marcmees, bansalsaab, TripleABattery, akamchinjir, GertVonnegut, Paletron, Andrewsarchus, Nebuzaradan, misko, mluciano98
Comments
on 9. November 2024, 17:01 by TripleABattery
Incredible puzzle! Had me stumped for a while, since I had misinterpreted the rules slightly but after I resolved that, the solve was consistently very enjoyable :))
on 8. November 2024, 23:59 by bansalsaab
That was a hard one to start with but once you get the hang of the ruleset, it flowed nicely
on 8. November 2024, 22:13 by marcmees
Very beautiful. Great logic till the end. Never at loss. Thanks
on 8. November 2024, 19:36 by Morolian
It's a wonderful and ingenious puzzle. I really enjoy it!
on 8. November 2024, 17:05 by pms_headache
That was tricky right down to getting the solution code right. Crazy logic. Really enjoyed it.