Logic Masters Deutschland e.V.

MULTIVERSE.

Normal 9x9 sudoku rules apply.

Draw a 1-cell wide loop that moves strictly orthogonally and doesn't branch or intersect itself. The loop doesn't touch itself, not even diagonally.

The loop acts as a german whispers line. Neighbouring digits on the loop must have a difference of at least 5.

A digit in a circle indicates how many times that digit must appear in circles. 

The circled digits also indicate how many of the up to 8 surrounding cells are on the loop.

Circles are never on the loop.

Digits separated by a white dot are consecutive.

Digits separated by a black dot have a 1:2 ratio.