Logic Masters Deutschland e.V.

StaGKs on StaGKs

(Eingestellt am 25. März 2021, 03:06 Uhr von fritzdis)

Regarding the weird title: this is one of several loosely associated "Stacks on Stacks" puzzles I made. I attempted later to tie them together in a coherent way, but the result was unsatisfying. This puzzle, however, absolutely stands on its own.

Normal sudoku rules apply.

Digits along an arrow must sum to the digit in the connected circle.

Symbols outside the grid are "Giant Kropki" clues for the indicated diagonals. Black clues point to "ratio diagonals". Light grey clues point to "consecutive diagonals". It is important to note that these descriptions do NOT apply to diagonally adjacent cells, but to the diagonal as a whole as follows:

  • The group of digits along a ratio diagonal, reduced down to unique values and rearranged in ascending order, forms one continuous sequence of 1:2 ratios.
  • The group of digits along a consecutive diagonal, reduced down to unique values and rearranged in ascending order, forms one continuous consecutive sequence.

F-Puzzles link: https://f-puzzles.com/?id=yhsjyxb8


Giant Kropki examples and clarification

Here are some valid and invalid examples. Green cells are valid. Red cells are invalid. Further clarification is provided below.

For ratio diagonals, the following groups of digits satisfy the ratio requirements:

  • 3:6
  • 1:2
  • 2:4
  • 4:8
  • 1:2:4
  • 2:4:8
  • 1:2:4:8
For any particular ratio diagonal, the unique digits on the diagonal must fully match one of these groups of digits. Duplicate digits are allowed. Order of the digits along the diagonal is irrelevant.

In the examples above, the 1/4/8/4 diagonal is invalid because the 1 does not form a 1:2 ratio with any other digit on the diagonal. The 4/2/6/3/2/1 diagonal is invalid because although each digit is in a 1:2 ratio with another digit on the diagonal, there is no single continuous sequence of the digits with this property.

For consecutive diagonals, there are many valid groups of digits. The key idea is that there can be no "gap" of digits. Again, duplicate digits are no issue. The example invalid diagonal is invalid because it has no 7. Even though 9 is consecutive to 8 and 6 is consecutive to 5, the digits 5, 6, 8, and 9 do not form a single continuous consecutive sequence.

Lösungscode: 18 digit code: column 9 then row 8

Zuletzt geändert am 27. März 2021, 01:52 Uhr

Gelöst von Elliott810, Cowbear, Mark Sweep, EliasKar, Polycarp, PulverizingPancake, PixelPlucker, argl, bakpao, SKORP17
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Kommentare

am 28. März 2021, 09:04 Uhr von fritzdis
@argl
Glad you liked it! It's a new variant inspired by a comment on the CtC discord.

am 28. März 2021, 08:55 Uhr von argl
Really enjoyed this, hadn't done this variant before and thought it was really awesome how the Kropki diags interacted with the rest of the clues throughout the solve

am 27. März 2021, 17:50 Uhr von Polycarp
Excellent rule set idea. Perfectly implemented.

am 27. März 2021, 01:52 Uhr von fritzdis
Minor edit

am 27. März 2021, 01:48 Uhr von fritzdis
Further clarification

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