Logic Masters Deutschland e.V.

This is part 3 of my 6x6 friendly cells trilogy.
Part 1: Moody friendship
Part 2: The amicable prodigy

Rules
Normal sudoku rules apply.
Cells separated by a knight's move cannot contain the same digit.
Construct a one-cell-wide snake of connected cells (orthogonally or diagonally), whose two endpoints are given as circles. The snake occupies half of the grid (its length is 18 cells). The snake cannot branch, but it may touch itself orthogonally and diagonally.
This snake is very sociable: it only lives in "friendly" cells.
A cell is "friendly" if it contains its row, column, or box number.

Play this puzzle on SudokuPad