Logic Masters Deutschland e.V.

Lunch box

(Published on 18. August 2020, 11:18 by Qodec)

Inspired by Stacked Sandwiches Sudoku.

Rules:

  • Normal sudoku rules apply, i.e. each of the digits from 1 to 9 needs to appear exactly once in each row, column, and 3-by-3 box.
  • Arrows of the same color (white or black) pointing at each other in the same column or row indicate a 'sandwich'. The arrow cells are the boundaries of the sandwich and they must contain the sum of all the digits enclosed between the boundaries. Such a sum must have two digits, and each arrow cell contains one of those digits. For instance, the white arrows pointing at each other in row 2 enclose 3 cells. Examples of valid options for the 5 cells (-> arrow cell, enclosed 3 cells, <- arrow cell) are 1 3 4 5 2 because 3 + 4 + 5 = 12, or also 2 5 3 4 1 because the order does not matter, or 1 7 5 9 2 because 7 + 5 + 9 = 21. Remember though that the 1 and 2 of the 12 or 21 total in this example must always go into the cells containing the white arrows.

You can play this puzzle online using Penpa.

If you wonder what the given 6 does in a lunch box, I imagine it to be a little coffee cup.

Good luck!

Edit: I'm worried that the puzzle may be too hard if one of its core pieces of logic is missed, so below is a hint if you need one. Spoiler alert, obviously.

There's something odd about the three sandwiches in boxes 4 and 5.

Solution code: The 9 digits in column 7 from top to bottom, no spaces, for example: 391265478

Last changed on on 18. August 2020, 14:41

Solved by MumboJumbo, marcmees, NikolaZ, Jesper, boredduck, s4argans, Lebinque, udukos, polar, Statistica, DiMono, abed hawila, sandmoppe, Vebby, Mody, pandiani42, Playmaker6174, Megalobrainiac, Sewerin, fjam, Bellsita, Crusader175, Muhammad, Stevoid31, StephenR, Bobbobert, h5663454, XIAOYING
Full list

Comments

on 10. April 2024, 17:54 by StephenR
Ha, that was quite the workout, thanks. Always have the suspicion with puzzles like this that I missed some clever shortcut.

on 21. August 2022, 22:17 by Playmaker6174
Oh my god, what a sublime and astonishing setting, constantly challenging throughout and really push my arithmetic tricks to the limit ;)

Last changed on 16. September 2021, 12:52

on 16. September 2021, 09:20 by Vebby
Brilliant puzzle! Good challenge and fun to solve.

Penpa+ link with solution check and four-edge arrows for better visibility of numbers: https://git.io/JupbZ

@Vebby Thank you very much for that link!

on 9. October 2020, 15:54 by udukos
This was a lot of fun. Cool entry.

on 18. August 2020, 22:53 by Qodec
@marcmees That's good to hear, thank you! Very happy you enjoyed it!

on 18. August 2020, 22:48 by marcmees
Nice logical path. Thanks for the puzzle joy. The hint wasn't necessary.

on 18. August 2020, 14:41 by Qodec
Added hint.

on 18. August 2020, 11:59 by stephane.bura
:)

on 18. August 2020, 11:19 by Qodec
Fixed Penpa link.

Difficulty:5
Rating:96 %
Solved:28 times
Observed:8 times
ID:000451

Puzzle variant Arithmetic puzzle

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Solution code:

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