Logic Masters Deutschland e.V.

Puzzle link: Solve in SudokuPad



Rules:
Latin square: Place the digits 1- 9 in every row and column.

Fill the grid with 10 worms! A worm is a continuous 1 cell wide orthogonally connected area at least 3 cells long. Worms can touch and twist and turn however they like; however, they cannot branch or cross themselves or other worms. All the cells in the grid are part of a worm, except our little green Sqwormy in R2C8.

Adjacent pairs of digits on a worm's path sum to a number that cannot repeat anywhere else on itself. Worm centers are marked by blue rectangles and the digit(s) in them are the worms length. If a worm is even number of cells long, the sum of its 2 central digits are its length. Example: if a worm is 7 cells long, central digit is 7(4th position from either end). If a worm is 10 cells long, 2 central digits sum to 10(5th and 6th position from either end).

Global entropy: Every 2x2 region in the grid must contain at least one low(123), middle(456), and high(789) digit.

Digit in grey circle counts all cells that are part of the same worm in up/down/left/right directions excluding the cell itself. Cells not part of that worm block the vision.

X-sums: clues outside the grid indicate the sum of the first X digits in that row or column, where X is the first digit in that direction.