Joker Sudoku
(Published on 31. May 2020, 16:26 by stimim)
Source:
https://blog.stimim.tw/puzzles/joker-sudoku
Rules
- Basic Sudoku rules applied.
- Digits in a cage don't repeat.
- Digits of the cells in a cage sums to the value on the top left corner of the cage.
- Clues outside the grid equals to the sum of the digits of cells along the indicated diagonal. Digits can repeat along these diagonals.
- One of the digits from 1~9 is Joker, when considering the clues of (3) and (4), the Joker never represents itself.
- E.g, if Joker is 1, it always means another digit in 2~9 instead.
- And Jokers can represent different digits in different equations.
- Digits in clues are also digits. So rules also apply to them unless otherwise specified.
- e.g. if 6 is Joker, and there is a "16" cage, then the "actual sum" of this cage is 10 + x, where 1 <= x <= 9 but not 6
- following the previous example, by rule 2, we can't put 1 or 6 in the cage. (rule 2 is applied without replacing joker)
Solution code: Digits in row 5, no spaces.
Last changed on on 3. June 2020, 18:21
Solved by Madmahogany, bob, NikolaZ, zorant
Comments
on 3. June 2020, 18:21 by stimim
Fix html syntax
on 3. June 2020, 18:19 by stimim
Add an example to rule 6.
on 2. June 2020, 23:19 by Madmahogany
Took me a while to wrap my head around the possibilities, but was a very satisfying finish. Thank you!
Last changed on 2. June 2020, 14:30on 2. June 2020, 14:22 by stimim
Yes, that is correct. It also implies that the "26" cage can't contain 2 or 6 in its cells.
-- edit --
Oops, you were using little killer clue as example, so the "no repeating digits" rule doesn't apply. But if "26" clue is from a killer sudoku cage, then we can't put 2 or 6 in the cells of the cage.
on 2. June 2020, 01:59 by stimim
Yes, it means 33. But we can't write 33 directly, because it would violate rule 2. Rule 6 makes the rules apply to digits in clues as well.
on 1. June 2020, 21:02 by Madmahogany
What is the "32+1" clue? Is that just to be taken as 33?