Logic Masters Deutschland e.V.

Extraterrestrial Japanese Sums

(Eingestellt am 16. Februar 2023, 01:26 Uhr von KNT)

This is a standard cryptic Japanese Sums puzzle using an unknown number base. For anyone that has been solving from my Japanese Cave series, the upcoming entry uses this concept to a much more extreme degree. I find number base puzzles very fun, so I decided to build a more approachable one for those less acquainted with the concept. I have listed this as 4 stars difficulty, but to anyone with experience with alien puzzles this should feel much more like 3.



Enter digits from 1 to 9 into some cells such that no digit repeats in a row or column and leave the other cells empty. Clues outside the grid are Japanese sum clues, i.e. they give the sum of connected digits in the respective row or column in the correct order. Single digits are also given. For any row or column, either all or no clues are given.

The clues have been given by an extraterrestrial, who uses an unknown number base. Same letters mean same "digits", different letters mean different "digits". It can be played here.

A refresher for those maybe not familiar with number bases: the numbers we use are in base 10, as, for example, 37 = 3*10+7. The number 37 in base 8, however, would be the value 3*8+7=31. For any base N, a digit is defined then as any value in the set {0,1,2,...,N-1}.

Lösungscode: The marked row followed by the marked column, S for empty cell

Gelöst von Xendari, polar, RJBlarmo, Koalagator2, ONeill, Lara Croft, Jesper, Niverio, h5663454, jkuo7, Vebby, ClashCode, kjholt, AnnaTh, ibag, Elliptical, Alex, ascension, cornuto, zuzanina, Statistica, Agent, marcmees, Jaych, wooferzfg, ffricke, akamchinjir, Piatato
Komplette Liste


am 8. Juni 2023, 00:09 Uhr von Piatato
Really lovely!

am 17. April 2023, 03:11 Uhr von wooferzfg
Lots of fun, thanks :)

am 15. März 2023, 08:23 Uhr von Statistica
Klasse. Ein 'ibagsches' Finale :-)

am 23. Februar 2023, 15:31 Uhr von cornuto
Ich liiiebe Japanische Summen in allen Varianten. Brillant.

am 19. Februar 2023, 19:46 Uhr von KNT
@ibag ;-)

am 19. Februar 2023, 14:22 Uhr von ibag

am 18. Februar 2023, 09:06 Uhr von AnnaTh
Loved that one! Although the E.T.s are always a big (but fun) challenge for me.

am 16. Februar 2023, 23:56 Uhr von Niverio
Fun puzzle, not that easy compared to the main course tbh ;)

am 16. Februar 2023, 18:41 Uhr von Jesper
Good fun, looking forward to the next JSCC :)

Zuletzt geändert am 16. Februar 2023, 16:13 Uhr

am 16. Februar 2023, 16:11 Uhr von KNT
@h5663454 Yes, any base is possible, but all clues are in the same base.

Zuletzt geändert am 17. Februar 2023, 09:05 Uhr

am 16. Februar 2023, 16:10 Uhr von h5663454
I'm not quite sure, is it possible that the base has a value greater than 10?


Oh... this is definitely a huge challenge for me like never before...


More than 100 minutes... This should be the first time I challenge a question type that I am completely unfamiliar with.
Hmm... I mean alphabetically encrypted Japanese sums. Looks like I need to take some time to catch up...

I have to say that almost 3/4 of the time, I was guessing the base number of the hints, and it took only a little time to complete the filling of the entire board.

am 16. Februar 2023, 14:33 Uhr von Lara Croft
I like these aliens a lot. But although having solved already a number of those puzzles it took me some time to make my brain stop thinking the terrestrial way and to realize all possibilities.

am 16. Februar 2023, 12:41 Uhr von ONeill
Great puzzle, not as difficult as I thought I’d find it. This gives me a bit more confidence for the next in the series, thanks!

am 16. Februar 2023, 04:06 Uhr von KNT
@kjholt You never know... the alien might know base 10 :-)

am 16. Februar 2023, 04:03 Uhr von kjholt
I wondered when this might come out and I'm glad there's an approachable one first since I probably won't even be able to do this one. Nice touch with the message in the cipher... Funny that the alien knows English but not base-10 ;)

am 16. Februar 2023, 04:02 Uhr von KNT
@RJBlarmo As is the nature with many puzzles of this type... a brunt of the difficulty typically is related to determining the relevant number base. There are a couple different ways to determine it for this puzzle, but I agree none of them are trivial.

am 16. Februar 2023, 03:55 Uhr von RJBlarmo
Very nice puzzle, I found the beginning steps a bit tricky. Looking forward to the next Japanese Sum Cave puzzle!

am 16. Februar 2023, 01:33 Uhr von Xendari
Beautiful construction! Although, I fear for the difficulty of the next JSSCC considering the time this took me to solve :P

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