Logic Masters Deutschland e.V.

The Victoria Sandwich Is A Lie

(Published on 8. June 2022, 17:50 by fjam)

The Enrichment Center is required to remind you that you will be baked, and then there will be cake.
  • Normal Sudoku rules apply.
  • Clues outside the grid give the sum of digits sandwiched between a 1 and 9, starting from the first 1 or 9 in the respective row/column. However, these clues are lying and must be increased by X, where X is the digit nearest to the clue in the respective row/column.
  • The oval shapes are portals. Each portal has a partner, such that there are four pairs of portals which must be deduced. Pairs of portals contain identical digits.
  • When a row/column sandwich sum hits a portal, it travels through it and continues towards the 1 or 9 in the new row/column.
  • Digits in portals do not count towards sandwich sums and cannot be 1 or 9.
To help solvers visualize the rules, an example image is provided. This may be solved as a bonus classic Sudoku.

Sum continues travelling right towards 9 (started with 1).


Sum U-turns and travels right towards 9 (started with 1).


Sum starts after portal, so portal is ignored.


Sum includes extra 1 as it ends at the 9.

Solve example on F-Puzzles

Solve example on CTC webapp



As an extra clarification note for solvers, do not think of portals as having directional properties in this puzzle. For example, while a column sandwich continues as a column sandwich after a portal, whether it travels up or down is determined only by where the closing sandwich 'crust' digit is. As such, it is possible for two sandwich sums, one starting from 1 and one from 9, to enter the same portal from opposite directions, but then travel in the same direction on exiting if the 1 and 9 in the new row/column are on the same side of the destination portal.

The idea for a puzzle themed around the game Portal had been in mind for a while, but Playmaker6174's Portal Sum - Little Killer gave extra impetus to put this together. The webpage for that puzzle can be found here.

Solve on F-Puzzles

Solve on CTC webapp

Solution code: Row 1, Row 3

Last changed on on 24. December 2023, 21:13

Solved by Leonard Hal, DarthParadox, PrimeWeasel, Playmaker6174, Xenonetix, Andrewsarchus, Myxo, ClashCode, Chilly, Bellsita, Vebby, pkp, Jaych, halakani, wisty
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Comments

on 8. February 2023, 02:28 by Myxo
Amazing and insanely difficult puzzle.

on 27. November 2022, 14:48 by Andrewsarchus
Wonderfully Evil!

on 24. June 2022, 00:52 by Xenonetix
Very impressive setting for this puzzle, but insane solve. Always remember to add the digits to those clues, because that kept tripping me up!

on 15. June 2022, 22:43 by Playmaker6174
Absolutely brutal and insane, one needs to stay awake mostly all the time to keep track with what's going on, and I slowly but surely turned into a completely terrible solver and an angry person as well in the later half. Nevertheless, I'm glad that the portal idea inspired you to make such a wonderful puzzle :)

Last changed on 10. June 2022, 23:55

on 10. June 2022, 23:55 by PrimeWeasel
I did it!. That was exquisite and also pretty darn hard :) I was sure I had broken it, but I was still convinced that my logic was sound, and I made it through eventually. Lovely stuff

on 9. June 2022, 01:08 by Leonard Hal
This puzzle is so wonderful that I was deeply involved in it.
Thank you!

Difficulty:5
Rating:96 %
Solved:15 times
Observed:4 times
ID:000A61

Variant combination Online solving tool

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Solution code:

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