Logic Masters Deutschland e.V.

I owe a great debt of thanks to sujoyku, SamuPiano, and especially mellowrobinson for helping me puzzle out how to do that split pea loop based in Box 5. Coding is not my strong suit!

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Rules:

- Normal sudoku rules apply.

- Global entropy - every 2 by 2 box of cells contains at least one low digit (1, 2, or 3), one medium digit (4, 5, or 6), and one high digit (7, 8 or 9).

- Split Peas - The sum of digits in cells connecting two circles is equal to a concatenation of the digits in the circles, in some order. For instance, 3-346-1 could be a valid line, as 3+4+6=13=1 concatenated with 3.

- XV sums - digits connected by V sum to 5; digits connected by X sum to 10. No negative constraint.

- Ratio Kropki - digits connected by a black Kropki dot have a value ratio of 2:1. No negative constraint.

Hint 1:

Because there is only one circle in the loops centered at R4C4, the tens digits and ones digit are the same, so the sum of each loop is the same and is some multiple of 11.

Hint 2:

I recognize why that large split pea line surrounding Box 5 isn't strictly necessary, but I like how it looks.

Sudokupad

Puzzle: