Logic Masters Deutschland e.V.

Binary Sum Arrows

(Published on 29. June 2025, 14:48 by RockyRoer)

The Rules:

  1. Normal sudoku rules apply.
  2. Color the grid such that every odd cell is one color and every even cell is a different color.
  3. Arrows are NOT normal arrows, but contain "binary sums". Each cell along the arrow is a bit, starting with the most significant bit and going to the least significant. If a cells contents are odd, that put a 1 in that bit, and if a cells contents are even, that puts a zero in that bit. The digits in the bulb of the arrow are that sum expressed as a one or two-digit decimal number read from left-to- right or top-to-bottom.
    • Ex: A five cell arrow would have a 16's bit, an 8's bit, a 4's bit, a 2's bit, and a 1's bit. Cells with odd odd even even odd along that arrow would then give a binary sum of 16 + 8 + 0 + 0 + 1 = 25.

Example Puzzle:

Try the example on Sven's Sudokupad

The Puzzle:

Try it on Sven's Sudokupad

Try it on Sven's Sudokupad with helpful bit labels

Solution code: The digits on the column with the lowest binary sum, from top to bottom. In the example puzzle, that would be column 6 with a binary sum of 7, so 426351


Solved by SKORP17, Gramor, damo_89, marcmees, sze, Elliott810, wuc, sshrpe, Exigus, Joyofrandomness, brimmy, Franjo, efnenu, zeniko, butch02, killer_rectangle, Flinty, palpot, Malakree, autumnsky544, spookyripper, volleywolley, abihummel, juddimal, taco.bella, kriskos, tnop62830, UDM, smc15503, Crul, teuthida, abadx, zrbakhtiar, Galc127, Frank Puzzles
Full list

Comments

on 30. June 2025, 12:50 by Franjo
Bit for bit this is an amazing puzzle and a beautiful exercise using the binary number system. (I’m used to give 3* when most solvers give only two, but this time it’s the other way round…) Thank you very much for creating and sharing another one of your lovely math puzzles.

on 29. June 2025, 21:56 by sshrpe
Really great puzzle. Love what you did with this ruleset - only slightly mad that you did it so fast! ;)

on 29. June 2025, 20:47 by wuc
Great puzzle. Beeing used to binary representation helped me. Very smooth. Great fun. Great math exercise.

on 29. June 2025, 19:19 by Elliott810
Brilliant puzzle (and idea)! Thank you:)

on 29. June 2025, 18:58 by marcmees
Always intimidating rules, always smooth solve. Thanks

on 29. June 2025, 17:24 by damo_89
This is not as scary as the ruleset may suggest, do give it a go.

Difficulty:2
Rating:93 %
Solved:35 times
Observed:1 times
ID:000O0G

Math knowledge

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Solution code:

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