Logic Masters Deutschland e.V.

A slightly twisted rule with some interesting implications. I had thought it was new, but it was kindly pointed out to me that there is prior art: two puzzles by SudokuExplorer here and here, and an SVS puzzle by Richard here.

Normal Sudoku rules apply: place a number from 1 to 9 into each cell so that every row, column and box contains each number exactly once.

Cycle Sums: Some clues are given outside the grid. For each clue, number the cells in its row/column from 1 to 9, starting with the cell nearest the clue. Starting from the first cell, go to the Xth cell, where X is the number in the first cell, then go to the Yth cell, where Y is the number in the Xth cell, and so on, until you end up back at the first cell. The clue indicates the sum of the digits in the cells visited in this way.

Some examples of fulfilled clues are supplied in a separate grid. These are not related to the puzzle.