Logic Masters Deutschland e.V.

Schrödinger 302: Schrödinger's Octopus

(Published on 5. May 2024, 11:45 by ViKingPrime)


PUZZLE:




RULES:

"Normal" Schrödinger and abnormal Octopus rules apply
...hereafter referred to as 'Squidönger' Cells.

(i.e. place the digits 0 through 9 once each in every row, column and box;
two of the digits will have to share a Squidönger Cell;
each row, column and box contains exactly one Squidönger Cell;
the value of a cell is the sum of the digits it contains
).

(i.e. draw 4 lines that must not cross or overlap anywhere except R5C5, where they all intersect;
pass through R5C5 in a straight line, otherwise are free to meander as they see fit, no symmetry required;
visit exactly 2 cells on the edge of the grid, which are the beginning and end of the line;
all be the same length, per no. of cells passed through
).

There are 4 different lines:
Region Sum - box borders divide the line into segments with the same sum;
Renban - values along the line form a set of consecutive, non-repeating values in any order;
Nabner - values along the line form a set of non-consecutive, non-repeating values in any order
(e.g. if a cell of value 3 appears on the line, then values of 2 and 4 cannot appear);
German Whisper: adjacent values along the line must differ by at least five [5].

In addition, white dots separate two cells of consecutive value and black dots separate two cells where one is double the value of the other [1:2];
digits within a cage must sum to the number in the top-left corner and must not repeat.


INTRODUCTION:

Setting this puzzle almost broke me... I hope all the hardwork shines through though, as I hear it's a lot more enjoyable to solve.

Here are some puzzles from other setters using a similar constraint:
"Killer Octopus" by ThePedallingPianist
"TENtacles" by Marty Sears

Have fun!



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The Schrödinger Series

Starter: Intermediate: Advanced:


Solution code: The digits along Row 8 (including the Schrödinger cell, smaller digit first), left-to-right.

Last changed on on 9. September 2024, 17:18

Solved by h5663454, SKORP17, SudokuHero, nuzzopa, bansalsaab, 85392, matzrh, emoney13, Slink, gdc, Lizzy01, palpot, ThePedallingPianist, marty_sears, Ratfinkz, peacherwu2, Christounet, QuiltyAsCharged, sorryimLate, MagnusJosefsson, flyjim, Sewerin, lmdemasi, roflsalot, KyubiBoy, Vodakhan , ZornsLemon, Mr_tn
Full list

Comments

on 9. September 2024, 17:00 by ViKingPrime
Added to series.

on 14. May 2024, 09:14 by MagnusJosefsson
Fantastic! Very fun and fresh puzzle with somre really great logic!

on 10. May 2024, 09:38 by Christounet
Wonderful ! So many intricate and very nice deductions ! Loved it. Thanks :)

on 9. May 2024, 01:59 by Ratfinkz
Beautiful puzzle very nicely set

on 9. May 2024, 01:57 by marty_sears
Beautiful, mindbending, massively intricate. Everything we expect from a VKP puzzle. Brilliant new addition to the octopus genre

on 7. May 2024, 15:46 by Lizzy01
Very nice!

on 7. May 2024, 07:12 by gdc
Very nice puzzle. Had to immediately solve this when I saw it features octopus rules, S-cells and nabner lines. Quite challenging but also very fair.

on 6. May 2024, 12:27 by ViKingPrime
Updated difficulty.

on 5. May 2024, 18:48 by SudokuHero
Probably my favorite of your puzzles so far. That was absolutely remarkable.

Difficulty:5
Rating:97 %
Solved:28 times
Observed:7 times
ID:000HYV

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