Modular Relations
(Published on 28. January 2024, 00:00 by TripleABattery)
Hello everyone! After a couple years of toying around with the idea of having a go at setting, I've finally decided to upload my first puzzle here. A big thank you to 'Missing a few cards' and 'FullDeck' for testing this puzzle. I really hope you enjoy. Any feedback is greatly appreciated.
Rules:
Place the digits 1-9 once each in every row, column and 3x3 box.
The grid is partially covered in fog. Placing a correct digit will clear fog in the surrounding cells, possibly revealing more clues. Guessing is not necessary.
A set of three adjacent digits on a turquoise line must have different remainders when divided by 3, i.e. they are each from one of the sets [1,4,7] , [2,5,8] and [3,6,9]. Lines do not overlap.
Digits in a cage sum to the number in the upper-leftmost corner of the cage.
Digits separated by a black dot are in a 1:2 ratio. Not all dots are necessarily given.
Digits separated by an X sum to 10. Digits separated by a V sum to 5. All Xs, Vs are given.
Rules:
Place the digits 1-9 once each in every row, column and 3x3 box.
The grid is partially covered in fog. Placing a correct digit will clear fog in the surrounding cells, possibly revealing more clues. Guessing is not necessary.
A set of three adjacent digits on a turquoise line must have different remainders when divided by 3, i.e. they are each from one of the sets [1,4,7] , [2,5,8] and [3,6,9]. Lines do not overlap.
Digits in a cage sum to the number in the upper-leftmost corner of the cage.
Digits separated by a black dot are in a 1:2 ratio. Not all dots are necessarily given.
Digits separated by an X sum to 10. Digits separated by a V sum to 5. All Xs, Vs are given.
Solution code: The digits in row 9 followed by the digits in column 9, from left to right and top to bottom respectively, without spaces or special characters.
Last changed on -
Solved by Fw1728, onbu, lmdemasi, by81996672, jalebc, Nylimb, LehanLehan, liushong, Myreque, redgecko, SKORP17, logik66, grrz, pepe74287, AvonD, maniacaljackal, tweak42, dipiz, agueybana, CrippledLamp, ... Tingo, shika, PrinnyDidi, saskia-daniela, zhangjinyang, goostephor, Raistlen, chanelaw, humaLautema, OhHeyGuysItsMax, PippoForte, Just me, zrbakhtiar, meowng, schnitzl, kangaroo, RadchenkoAleksandr
Comments
on 10. February 2024, 05:12 by Tingo
I was able to get started pretty quickly. I recall hitting a point that took me a while to break through. Once I managed that, it finished nicely. Thanks for setting and sharing. A good puzzle!
Last changed on 28. January 2024, 21:44
on 28. January 2024, 19:08 by grrz
A decent puzzle. I stuck for a while after filling cols 456, then run smoothly again
on 28. January 2024, 09:39 by Nylimb
Very nice first puzzle! Thanks.
