Logic Masters Deutschland e.V.

Originally published as part of Sudokuvania: Digits of Despair.

Rules:

Sudoku - place digits from 1-9 into each cell without repeating in a row, column, or 3x3 box.

Killer cages - digits in a cage sum to the corner in its upper left corner.

Odd - The gray circles contain odd digits.

159 Column indexing - a digit in a red cell in column X indicates the column in which X is placed in its row. For example, a 4 in r3c1 indicates r3c4 is 1.

Snake - draw a one-cell-wide snake in the grid; the snake moves orthogonally and does not branch or touch itself, even diagonally.
The head and tail of the snake are the two gray circles in box 6. The snake does not enter cages; every digit on the snake is odd; and every red cell that indexes itself is on the snake.

Play the puzzle on Sudokupad

I hope you enjoy the puzzle! :-)