Logic Masters Deutschland e.V.

Marco Polo (Loop Deconstruction)

(Published on 6. June 2023, 09:00 by Agent)

I thought it'd be interesting to set a Chaos Deconstruction puzzle where the empty celle must be traversed by a loop. The ruleset is inspired mainly by Kakuro Loop, this puzzle was extremely fun and the moment I registered my solve, I knew I wanted to do something similar. I hope you'll enjoy the puzzle!

Rules

  • Place some digits from 1 to 9 in the grid such that no repeating digits occur in any row or column.

  • Draw a single closed loop (without intersections or crossings) through the center of some cells in the grid. Cells visited by the loop do not contain digits.

  • Divide cells not visited by the loop into regions of size N that contain the digits 1 to N once each. Two regions cannot touch orthogonally, but may touch diagonally.

  • Cells with arrows must contain a digit indicating the number of cells visited by the loop in the indicated direction.

Example Puzzle (10x10)

Main Puzzle: Marco Polo (15x15)

Solution code: Row 14 (from left to right) then column 13 (from top to bottom). Use L for a turn of the loop and I for a straight segment of the loop. 30 characters total.

Last changed on on 7. June 2023, 02:59

Solved by Gryllulus, Tom-dz, Piatato, di_amo_nd, Snookerfan, KNT, MicroStudy, Grausbert, Jorrr2, h5663454, Tilberg, tuturitu, widjo, RJBlarmo, karlmortenlunna, kamkam, Jaych, jkuo7, Jesper, Franjo, zuzanina, ... Lavender Gooms, Martijn314, lerroyy, Niverio, Paletron, zakkai, heliosfant, redgecko, SterlingWest, zzw, wullemuus, BeeBoi, jay bhayani, moss, teff, Uhu, StephenR, Puzpensu, han233ing, puzzler05
Full list

Comments

Last changed on 31. August 2024, 00:15

on 31. August 2024, 00:14 by StephenR
Absolutely fiendish. Loop puzzles are not intuitive for me and I found the start and end very difficult. But worth persevering with Agent puzzles as you know there will always be some very elegant logic.

on 12. March 2024, 19:17 by wullemuus
Great, great puzzle!

In my first attempt I used the SudokuPad Version- but the solution check showed errors esp. in the right side of the puzzle. So I had to restart in Penpa. This time my original solution worked ... .

on 29. February 2024, 09:57 by zzw
Awesome puzzle! Super clean all the way through, great interactions.

on 7. January 2024, 12:28 by heliosfant
Thanks for this amazing puzzle. The south-east part is pretty evil ... but nothing compared to the solution code.

on 1. December 2023, 19:50 by lerroyy
Great puzzle, very nice how everything fits together!

on 23. July 2023, 19:36 by samuel1997
It is brutally hard and yet fantastic puzzle, especially the end of the puzzle got me few times and makes me think I broke the puzzle though.

on 2. July 2023, 05:41 by Agent
Thanks everyone for the nice comments!

on 30. June 2023, 14:40 by Silverstep
I used a lot of parity tricks, which... is probably unintended? This feels too easy for a 5-starer, but I guess it has 50 solvers, so the rating got inflated a bit. 43 minutes.

on 20. June 2023, 10:52 by Christounet
Enjoyed the trip around this grid very much ! Although my exploration of the south east part of the world took a bit long longer than expected :) Thanks to the tour operator !

on 11. June 2023, 23:44 by Ratfinkz
Lovely and smooth! Solved in a Collab,thank you.

on 11. June 2023, 23:43 by Myxo
Beautiful and smooth!

Last changed on 11. June 2023, 16:08

on 11. June 2023, 16:07 by Calvinball
I adored every minute (of which there were many) that I spent solving this puzzle.

Thanks for taking your time to set this!

on 11. June 2023, 00:25 by MaizeGator
Extraordinarily smooth puzzle! I think I made the same mistake that some others made towards the end that derailed me a little bit but I still loved this puzzle very much.

on 8. June 2023, 20:44 by ONeill
Fun puzzle, thank you :)

on 8. June 2023, 19:27 by Elliptical
What a tour de force! Well done.

Last changed on 7. June 2023, 22:19

on 7. June 2023, 22:18 by bansalsaab
Ending was bit trickier than i expected. Solution code probably could be smaller after such a beast :-)

Last changed on 7. June 2023, 22:31

on 7. June 2023, 17:58 by peacherwu2
The ending is quite tricky, taking me more than half of the time...

on 7. June 2023, 09:15 by Jesper
Great puzzle! Super smooth and quite approachable.

on 7. June 2023, 03:16 by RJBlarmo
Very nice puzzle! Might want to clarify that the example uses 1 to 6 only.

on 6. June 2023, 16:20 by Jorrr2
Very nice puzzle! The ending confused me (also due to a mistake) so it took me a lot of time. I don't think it is 5 stars difficulty but still 4,5 stars for me.

on 6. June 2023, 15:58 by Grausbert
Awesome puzzle! Maybe add to the text for the solution-code that the numbers are to be added as well. That wasn't really clear for me at first.

on 6. June 2023, 15:26 by MicroStudy
great loop, great regions, what more can you ask for really

on 6. June 2023, 15:10 by KNT
good fun, thanks!

on 6. June 2023, 15:06 by Snookerfan
Great puzzle! Smooth and very interesting throughout. Thank you

on 6. June 2023, 12:27 by Piatato
Awesome! Very smooth and fun throughout!

Difficulty:5
Rating:98 %
Solved:90 times
Observed:6 times
ID:000E2V

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Solution code:

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