Logic Masters Deutschland e.V.

Venn Diagram Loops

I and yttrio made a collab with interesting ruleset. Hope you enjoy it!

Rules:

-Normal Sudoku rules apply: place the digits 1-9 in every row, column, and 3x3 box.

-Draw three one-cell-wide loops in the grid that travel orthogonally and do not branch.

-Each loop is not allowed to touch itself, not even diagonally.

-Each loop must share exactly one cell with each of the other two loops.

-One loop must act as a Renban line. The loop contains a set of consecutive, non-repeating digits in any order.

-One loop must act as a German Whispers line. Adjacent digits on the loop must have a difference of at least 5.

-One loop must act as a region sum line. Box borders divide the loop into segments with the same sum.

-Cells separated by a gray dot have either a difference or ratio equal to the number in the dot. For example, a dot with a 3 means that the two cells either have a difference of 3 or a ratio of 3:1.

-Exactly one loop must pass through the center of each dot. That is, each dot has exactly one loop that occupies both cells connected by that dot.

-If a loop passes through the center of a dot, that same loop may not pass through the center of another dot with the same number.

CTC