Lazy River (w/ Nordy)
(Eingestellt am 8. Februar 2024, 18:27 Uhr von mathpesto)
A collaboration by Nordy and Math Pesto.
Rules:
Within the main 9x9 grid, normal sudoku rules apply.
Region Sum Loop: Draw a single closed loop that moves orthogonally through the centers of cells, and does not branch, overlap, or intersect itself. The loop can move in and out of the main 9x9 grid except for the black cells. The loop acts as a region sum line: Digits on the loop have the same sum in each region the loop passes through. If the loop passes through a region multiple times, each individual segment sums separately. (Each 3x3 box is a region, and the cells outside the main 9x9 grid comprise a single region.)
Outside Clues: Numbers in cells outside the main 9x9 grid equal the number of loop cells in the corresponding row/column of the main grid (loop cells outside the grid are not counted).
Sweepers: A digit in a circle equals the number of loop cells in the (up to) 8 surrounding cells, plus itself if applicable.
Kropki: A white dot joins two consecutive digits, and a black dot joins two digits in a 1:2 ratio. The loop must go directly through every dot.
Not all circles or dots are necessarily given.
Lösungscode: Within in the main 9x9 grid, the digits on the loop in Row 1 followed by the digits on the loop in Row 5 (left to right)
Kommentare
am 28. September 2024, 11:16 Uhr von Christounet
Awesome. Thanks :)
am 9. September 2024, 22:58 Uhr von StephenR
Some interesting logic, thanks.
am 16. Februar 2024, 10:46 Uhr von Piatato
Fun!
am 16. Februar 2024, 04:14 Uhr von moonear
very natural and fun
am 11. Februar 2024, 02:22 Uhr von madhupt
Stunning puzzle! Starts off beautifully, gets harder but remains smooth throughout. A very very satisfying solve. Thanks for setting and sharing this.
am 10. Februar 2024, 16:10 Uhr von Niverio
Very enjoyable! The way the loop builds is very smooth.
am 10. Februar 2024, 04:06 Uhr von wand
loved it - many surprising loop interactions
am 9. Februar 2024, 12:37 Uhr von Snookerfan
Excellent puzzle! Lots of fun, thank you
am 9. Februar 2024, 09:37 Uhr von Bankey
Brutal, absorbing, and super fun! Thanks, @ mathpesto and Nordy :). Definitely a 5* for me; hats off to those who found it less.
am 9. Februar 2024, 00:13 Uhr von Myxo
Awesome puzzle! I enjoyed that a lot.
am 8. Februar 2024, 23:00 Uhr von KNT
great puzzle! Almost fell for the trap near the end :)
am 8. Februar 2024, 22:26 Uhr von bansalsaab
Brilliant as always. R4C11 :-)
am 8. Februar 2024, 20:39 Uhr von yttrio
Phenomenal puzzle! Loved working out how the loop had to work through various types of logic (going through the 6x6 definitely helped).
am 8. Februar 2024, 20:22 Uhr von mathpesto
clarified rules
am 8. Februar 2024, 19:40 Uhr von samuel1997
Absolutely brilliant!
