Logic Masters Deutschland e.V.

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

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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.