Logic Masters Deutschland e.V.

Introduction:

This puzzle is about lines alternating between different groups of digits. There are 4 lines tangling into a network, each represented by a color. However, due to increasing price of pigment, I decided to remove all colors from this puzzle. Now you have to figure out which line goes where! Have fun and feel free to leave a comment below. >:)

Click or tap the following image to play!

Rules:

1. Standard Sudoku rules apply: Fill the grid so that every row, column, and box contains digit 1-9 exactly once.

2. Network of Lines: Draw 4 distinct lines (connecting centers of cells) along the gray network such that:

(1) Every segment of the network belongs to exactly one line.

(2) Each line connects exactly 2 of the network's 8 endpoints.

(3) Lines may share cells, but no line may pass the same cell more than once.

3. Line Constraints: Each of the 4 lines corresponds to one of the following alternating rules. (In other words, there is a bijection between the 4 lines and the 4 rules.) The solver must determine which line follows which rule. (However, it is allowed if a line coincidently satisfies a rule other than the one it corresponds to. There is no negative constraints.)

(Line A) Alternates between Large (6,7,8,9) and Small (1,2,3,4) digits. Digit 5 cannot appear on this line.

(Line B) Alternates between Odd (1,3,5,7,9) and Even (2,4,6,8) digits. This line must not enter row 9.

(Line C) Alternates between Prime (2,3,5,7) and Composite (4,6,8,9) digits. Digit 1 cannnot appear on this line.

(Line D) Alternates between "Funny" and "Not-Funny" digits. Exatly one digit from 1 to 9 is "Funny" (to be deduced by the solver), and other digits are "Not-Funny".