Logic Masters Deutschland e.V.

Extraterrestrial Japanese Sums

(Published on 16. February 2023, 01:26 by 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.

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Rules:

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}.

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


Solved by 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, lerroyy, Paletron, tuturitu, Nick Smirnov, Nensche777
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Comments

on 8. June 2023, 00:09 by Piatato
Really lovely!

on 17. April 2023, 03:11 by wooferzfg
Lots of fun, thanks :)

on 15. March 2023, 08:23 by Statistica
Klasse. Ein 'ibagsches' Finale :-)

on 23. February 2023, 15:31 by cornuto
Ich liiiebe Japanische Summen in allen Varianten. Brillant.

on 19. February 2023, 19:46 by KNT
@ibag ;-)

on 19. February 2023, 14:22 by ibag
;-))

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

on 16. February 2023, 23:56 by Niverio
Fun puzzle, not that easy compared to the main course tbh ;)

on 16. February 2023, 18:41 by Jesper
Good fun, looking forward to the next JSCC :)

Last changed on 16. February 2023, 16:13

on 16. February 2023, 16:11 by KNT
@h5663454 Yes, any base is possible, but all clues are in the same base.

on 16. February 2023, 14:33 by 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.

on 16. February 2023, 12:41 by 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!

on 16. February 2023, 04:06 by KNT
@kjholt You never know... the alien might know base 10 :-)

on 16. February 2023, 04:03 by 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 ;)

on 16. February 2023, 04:02 by 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.

on 16. February 2023, 03:55 by RJBlarmo
Very nice puzzle, I found the beginning steps a bit tricky. Looking forward to the next Japanese Sum Cave puzzle!

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

Difficulty:4
Rating:100 %
Solved:33 times
Observed:3 times
ID:000CZ6

Alien

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