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, ... kublai, Smartacus, Fustrate, taniabn, Uhu, flipout, psninn, 99jau99, Tingo, shika, PrinnyDidi, saskia-daniela, zhangjinyang, goostephor, Raistlen, chanelaw, humaLautema, OhHeyGuysItsMax, PippoForte
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.
