Logic Masters Deutschland e.V.

Equality Cages 118: Sum equally consecutive lines

(Eingestellt am 3. Januar 2024, 08:59 Uhr von gUBBLOR)

I thought it was about time for another easy Equality Cage puzzle. Unless I'm mistaken the Consecutive Sum Lines constraint was created by arbitrary, and while this puzzle should be easy enough to work as an introductory puzzle on its own, you could also check out A Winding Path. The previous and next puzzle in the series:
Equality Cages 117: Equality Chaos
Equality Cages 119: Friendly, hostile, and neutral cages

All my series:
Equality Cages
EquaLite Cages
Shifter Lines
Shifter Dots

Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.

Equality cages: Cages must have an equal number of low (1,2,3,4) and high (6,7,8,9) digits AND an equal number of even (2,4,6,8) and odd (1,3,7,9) digits. Equality cages can never contain 5. Digits may not repeat in a cage.

Kropki dots: A black dot between cells indicates cell values with a 2:1 ratio. A white dot between cells indicates cells with consecutive values. Not all dots are shown.

X: Adjacent cells connected with an X must sum to 10. Not all X's are shown.

Consecutive sum lines: Digits along consecutive sum lines within each box have sums that differ by 1. I.e. if a line has 1,2,3 on it in one box, and only 1 digit in another box that digit has to be either 5 or 7. If it's a 5 and it enters a third box (from the 5) with 2 digits on it, those would either have to be 2,4 or 1,5 (so it sums to 6), or 1,3 (so it sums to 4). Digits may repeat on lines.

Solve here:

Video featuring the puzzle:
Sudoku Sleuth

Lösungscode: Row 3 left to right and column 7 top to bottom - no spaces.

Zuletzt geändert am 9. März 2024, 18:42 Uhr

Gelöst von EFlatMinor, Hajuhn, Hailou, Numpus, Zandi, hige, Benji, ark29, Chelo, mcc, SKORP17, seeppp, Kversten, pepe74287, cornuto, achim-t, vlin, JSmoove1099, Jasura, permafrostyx, gumby, ValentinL, RichS, ... Phandor, jarebaer, diziet, seh_bas, Rummmp, NEWS, Tug, timww572, Uhu, chain.reader, drf93, Blaimi, PippoForte, atomvic, Maroet, humaLautema, yusuf17, duckling, Nebu, Madoka42, latters176, Pinevie
Komplette Liste


am 1. Mai 2024, 00:45 Uhr von chain.reader
Smooth solve from start to finish, not too easy, not too hard.

am 9. März 2024, 18:42 Uhr von gUBBLOR
Added links

am 9. Januar 2024, 06:05 Uhr von gUBBLOR
Added some links

am 8. Januar 2024, 13:36 Uhr von gUBBLOR
Added video link to the puzzle being solved

am 6. Januar 2024, 05:25 Uhr von Ganbatte
Fun, thank you

Zuletzt geändert am 5. Januar 2024, 01:34 Uhr

am 5. Januar 2024, 01:29 Uhr von Kirstein314
Potential spoilers below.

As arc said, you can derive how the line works. But in case that's not meant to be part of the puzzle: every time the line enters a box (even if it's entering the same box a second time) that counts as a different section for the consecutive sections rule. So that's two different sections on that x in box 9.

am 4. Januar 2024, 21:23 Uhr von fitzie
This is a solid two difficulty for me. fun puzzle.

Zuletzt geändert am 3. Januar 2024, 12:35 Uhr

am 3. Januar 2024, 12:34 Uhr von ark29
Really fun puzzle. Enjoyed it a lot. Might help to clarify how lines work when entering the same box multiple times like in box 9 (though it was not challenging to work out)

am 3. Januar 2024, 09:06 Uhr von EFlatMinor
Loved this one. Wonderful, easy exploration of ways that the equality cages and consecutive sum lines can interact. Very fun!

Bewertung:93 %
Gelöst:125 mal
Beobachtet:5 mal

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