Logic Masters Deutschland e.V.

Doppelgängers

(Published on 11. March 2025, 05:00 by Will Power)

Normal Sudoku rules apply. The four Doppelgängers (3x3 pink regions) look the same, but NONE OF THEM ARE CLONES (have all nine numbers in the same locations as one another). ARROWS- Numbers on arrows sum to the number in the arrow's circle. KROPKI PAIRS- Numbers with a white dot between them are consecutive. Numbers with a black dot between them are in a ratio of 2:1. Not all possible dots are given. KILLER CAGES- Numbers in cages sum to the number in the top left corner of the cage.

F-Puzzles

Solve on CTC

Solution code: Column 9.

Last changed on -
Solved by FireTruckFuel, TroublesomeOrca, HighEagle, starfall, Greg, xrrx, flaemmchen, pseudoku, Snuggles, thomamas, Ungesundheit, Iluvsodah, jalebc, zrbakhtiar, Smartacus, Dreamy4Vada, jgarber, xocolatl, ... Roberto, imagle, Nonio7, pepe74287, yusuf17, DerRiese, BlackApolloX, Tiffanatisk, atheeromar, drifting, radium, HakabaRemi, hasti2c, Jastucreudo, Spooof, frosto, Saskia11, CSStead, Ragna, ParaNox
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Comments

on 24. April 2025, 07:25 by atheeromar
CTC Link with solution:
https://sudokupad.app/ibwjp2k3fh

on 12. March 2025, 20:50 by KingIsulgard
11:53 You can just ignore the doppelganger rule, I didn't need it and it just adds unnecessary mental load.

on 11. March 2025, 11:42 by sandbo00
Thanks for the puzzle! Here is a link with solution checking: https://sudokupad.app/111tnay4wo

Last changed on 11. March 2025, 09:56

on 11. March 2025, 06:11 by FireTruckFuel
Seeing only 3 possible positions for the digit 9 in the colored boxes helped me deduce that SOME digits MAY be in the same position. Ultimately there was enough disambiguating logic that I didn't need to use this line of the rules at all. Lovely puzzle, possibly 1 star.

@FireTruckFuel You are correct. The rules state that none of the pink boxes has ALL NINE the same. The rule name for NONE of the cells are the same is called DISJOINT GROUPS or DISJOINT SETS. Peace to you. -Will Power

Difficulty:1
Rating:88 %
Solved:138 times
Observed:6 times
ID:000MCX
Variant combination Online solving tool
Sudoku, Consecutive Pairs (Variant), Ratio Pairs (Variant), Killer (Variant), Arrows (Variant)

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Solution code:

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