Parity Runs #4: Odd Island
(Eingestellt am 12. Juni 2020, 23:30 Uhr von Madmahogany)
This puzzle was inspired by this puzzle by Richard. The rules are slightly different from that puzzle, so I will explain them below, along with the rules of Parity Runs.
Normal Sudoku rules apply. The two numbers outside the grid represent the two longest runs of one parity (odd or even) in that row/column. Note that this is just the longest runs regardless of parity (that is, both the longest runs could be odd, for example). Essentially, the row/column is a string of 9 numbers, which can be split into runs of odds and evens. Considering the lengths of each of these runs, the two longest lengths are given outside the grid. For example, if the digits in the row were 145796832, this has runs of length 1,1,3,2,1,1, so the clue outside the grid would be "3 2".
Additionally, the finished grid has certain properties. All the odds in the grid form a single orthogonally connected region. 2x2 boxes are allowed in this region. Also, in the finished grid, all digit pairs exist as dominoes (which may or may not overlap) somewhere on the grid. Basically, if you were to take two digits out of 1-9, say 3 and 7, there will be at least one place on the grid where 3 and 7 are orthogonally adjacent (horizontal or vertical). Thus, all 36 distinct digit pairs must be present at least once somewhere in the grid (1-2, 1-3, ..., 7-9, 8-9)
Lastly, there are some Kropki clues in the grid. The black dot indicates that one of the two digits it connects is twice the other. The crosses indicate that the two cells do not follow any Kropki clues i.e. the two digits are non-consecutive and one digit is not twice of the other.
This is part of a series of puzzles I have in mind with this rule set. I was inspired by glum_hippo's Parity Party series when thinking about this rule set. If you want to do a puzzle with the same rule-set that is simpler, try this Introduction puzzle
Lösungscode: Row 3, followed by Row 9
Kommentare
am 7. September 2020, 21:22 Uhr von Madmahogany
Clarification of the rules
am 17. Juni 2020, 12:56 Uhr von Madmahogany
@SirWoezel Thank you!
am 17. Juni 2020, 12:21 Uhr von SirWoezel
Not as hard as I feared! Very nice too!
am 17. Juni 2020, 06:33 Uhr von Madmahogany
@bob Thank you! Glad you liked it
am 16. Juni 2020, 23:54 Uhr von bob
This was like three puzzles in one! I liked the "odd island" constraint...like the rivers in nurikabe.
am 14. Juni 2020, 14:53 Uhr von anu_chakravarti
Im really enjoying this series a lot!
am 14. Juni 2020, 06:42 Uhr von Nylimb
This had me very confused at the end. I narrowed it down to 3 possible solutions, and tested the solution codes until I found the right one, but I couldn't see what was wrong with my other solutions.
I started to write a comment describing my solutions, but then I noticed that the picture has a Kropki cross at the bottom left that's not in my printout of the puzzle. I guess this was fixed between the time I printed it and the time I entered my solution.
Anyway, I enjoyed the puzzle; the different types of clues worked well together.
@Nylimb Yes I had to make a change to the puzzle, as pointed out by cdwg2000. I'm glad you enjoyed the puzzle.
am 14. Juni 2020, 00:01 Uhr von Madmahogany
@Big Tiger Haha thank you
am 13. Juni 2020, 22:54 Uhr von Big Tiger
I sat for quite a while at the end wondering why I couldn't disambiguate the last ten squares - knew I wasn't crazy because others had solved it. THEN I remembered those Stupid Dominoes! LOL. Nice work.
am 13. Juni 2020, 19:42 Uhr von Madmahogany
Added sudoku tag
am 13. Juni 2020, 10:32 Uhr von xiao01wei
There are some clues outside the grid, and exactly 2 clues outside one row/column, the one indicate the max count of the consecutive odd numbers, and the other one indicate the max count of the consecutive even numbers(not in order)
@xiao01wei Actually it is not highest odd and even runs, rather it is just the two longest runs (could be both odd or both even)
am 13. Juni 2020, 09:06 Uhr von Madmahogany
Slight change to the condition wording
am 13. Juni 2020, 07:59 Uhr von Madmahogany
@Puzzle_Maestro Thank you for the tip
am 13. Juni 2020, 07:56 Uhr von Puzzle_Maestro
@Madmahogany As the puzzle author, you are able to do that yourself. Just click on 'edit' on the right hand side.
