Logic Masters Deutschland e.V.

Rules:

·Dual-Property Lines:

The four lines forming the "2025" shape each satisfy exactly two of the following four properties:
(a) Coprime Line

Adjacent digits on the line must be coprime. The digit 1 is coprime with any digit.
(b) Region Sum Line

Each segment of the line within a box sums to the same value.
· For lines that pass through the same box multiple times, each pass is a separate segment.
(c) Renban Line

Digits on the line form a set of consecutive numbers in any order.
(d) Zipper Line

Digits equidistant from the two ends of the line sum to the same value.
· For lines of odd length, the middle cell equals this sum.
· For closed-loop lines, one cell must serve as the reference cell, acting as both ends of the zipper.
Each pair of orthogonally adjacent lines shares only one property, and these shared properties are all different.

·Local Extremes:

Cells marked with ● are strictly greater or less than all orthogonally adjacent neighbours.

Hint: