Logic Masters Deutschland e.V.

Olympic Rings

(Published on 11. August 2012, 12:37 by kiwijam)

Short Instructions:

Draw five loops, one in each of the five grids. The rules governing the grids are (left to right): Black Pearl, Country Road, Bahnhöfe, Yajilin, and Masyu. Adjacent loops must cross each other at exactly two points.

Full Instructions:

Each of the five 9x9 grids will contain a single closed loop. The loops are made of vertical and horizontal line segments, joining the centres of adjacent cells. A loop will never touch or cross itself.

There are 4 shaded sections (of size 3x3) where the larger grids overlap. In each overlap section the two loops must cross each other exactly twice. In a cell where a crossing occurs both loops pass straight through, one horizontal and one vertical. Therefore there will be 8 of these "+" shapes overall. Two different loops cannot touch in any other cells.

Clues in overlap regions are used by both grids.

Black Pearl [as seen in 2008 USPC, by Adam R. Wood] (Blue grid):
The loop must turn 90 degrees at every cell containing a number. This number gives the length of both straight lines leaving the cell (until they next turn).
Some cells can be empty.

Country Road (Yellow grid):
The loop can pass through each thick-edged region at most once. A number in a region gives the length of the loop within that region. The colour of a line is not important, only the thickness.
Some cells can be empty, but two adjacent empty cells cannot have a thick edge between them.

Bahnhöfe (Black grid):
The loop passes through each number in order (1,2,3,4,5,6). It passes straight through each number without turning.
All cells must be filled: either with the Bahnhöfe loop, or the Country Road loop (only in the yellow overlap), or the Yajilin loop or a black square (only in the green overlap).

Yajilin (Green grid):
Blacken some of the empty cells and draw a loop through the other cells. Black cells cannot share an edge. The clues give the number of black cells in that corresponding direction. None of the loops can go through the black cells or the clue cells.
All cells must be filled: either with a clue cell, a black cell, the Yajilin loop, the Bahnhöfe loop (only in the black overlap), or the Masyu loop (only in the red overlap).

Masyu (Red grid):
The loop passes through every circle. It goes straight through each white circle, but must turn in at least one of the adjacent cells. It turns at each black circle, but must not turn in the adjacent cells.
Some cells can be empty.

Here is an example of what a 3x3 overlap region might look like (if one of the grids is Yajilin):

Solution code: For the four marked rows, from top to bottom, enter the lengths of all horizontal lines (ignore 0s, the minimum will be 1 and the maximum possible is 8).

Last changed on on 20. August 2012, 01:30

Solved by ch1983, rubbeng, pokerke, saskia-daniela, RALehrer, matter, r45, rob, pin7guin, Statistica, dm_litv, Luigi, Laje6, mathezwerg, AnnaTh, Mody, Thomster, ffricke, CHalb, joyal, Toastbrot, moss, pirx, ... Saskia, flaemmchen, pwahs, usp, PRW, sandmoppe, tuace, Joe Average, Babsi, ildiko, darksida, Matt, nicole1303, Uhu, derwolf23, jessica6, amitsowani, Dandelo, uvo, misko, FzFeather, polar, Echatsum
Full list

Comments

on 21. October 2012, 10:58 by pin7guin
@ManuH: Dann les es halt als "von 1 bis 8".

on 21. October 2012, 10:35 by ManuH
Danke für dieses tolle Rätsel. Beim Lösungscode ist aber zwischen 0 und 9 gemeint.

Last changed on 20. October 2012, 19:05

on 20. October 2012, 19:04 by Mody
@ManuH

genau

on 1. September 2012, 15:47 by Alex
just beautiful!

on 20. August 2012, 01:34 by kiwijam
A BIG Dankeschön to pin7guin for translating the instructions into Deutsche.

on 20. August 2012, 01:30 by kiwijam
Deleted request for translation help.

on 20. August 2012, 01:26 by kiwijam
Adding German instructions!

on 19. August 2012, 00:31 by ibag
Tolle Kombination!

on 14. August 2012, 19:54 by CHalb
Very good and a splendid start as an author here in the portal! Not only three of my absolute favourite puzzletypes and two new ones I've never seen before (which I like, too) but each of the 5 parts is really well done.

The Bahnhöfe I could solve quite easily because of something Dandelo has written some time ago somewhere else :-).

on 14. August 2012, 16:25 by Toastbrot
@pin7guin
Dran gedacht habe ich und geprüft habe ich auch zweimal, aber der Fehler liegt trotzdem genau daran, weil ich Tomaten auf den Augen habe. :-(
Danke für den Hinweis.

on 14. August 2012, 14:44 by pin7guin
@Toastbrot: Lothar, hast Du daran gedacht, dass man bei Country Roads jedes Gebiet HÖCHSTENS 1x betreten darf?

on 13. August 2012, 18:34 by Mody
Ganz großartiges Rätsel :)

on 13. August 2012, 15:07 by AnnaTh
"Bahnhöfe" were the hardest (for me)! Except for that it was great fun :-)

on 13. August 2012, 00:15 by kiwijam
Thank you all, I'm glad you enjoy my first puzzle.

Country Roads: I like the rule that there can be empty regions, even if the solution does not have any. The logic is easier if you start from the 'correct' corner of the Country Roads...

on 12. August 2012, 22:28 by Statistica
Very nice! Thank You!

on 12. August 2012, 21:16 by pin7guin
Great puzzle! The Country Roads are a little bit mean...

on 12. August 2012, 19:53 by rob
@Modesty: The rules don't require the loop to visit every room for the Country Road, and it's solvable those rules.

on 12. August 2012, 15:31 by Mody
Country roads:
Can there be regions without loup-segments (only empty cells)?

on 11. August 2012, 21:08 by pokerke
Fantastic combination of 5 very nice puzzles! Worth a gold medal in modern pentapuzzle!

on 11. August 2012, 15:46 by ch1983
Fantastic puzzle!

Last changed on 13. August 2012, 00:03

on 11. August 2012, 12:46 by kiwijam
I have added English text to the German page, so it is not blank.

Difficulty:3
Rating:96 %
Solved:66 times
Observed:7 times
ID:0001H2

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