Logic Masters Deutschland e.V.

Rules

• Divide the grid into two areas of orthogonally connected cells. One area is an Ice Walk, the other is a Lohkous.


• Ice Walk:
  • Draw a single closed loop that travels orthogonally through the centers of some cells in the Ice Walk area. The loop may not enter the Lohkous area.
  • Some icy cells must be located inside the grid. All icy cells are in the Ice Walk area.
  • The loop may cross itself on icy cells, but not on non-icy cells.
  • The loop may turn on non-icy cells, but not on icy cells.
  • A clue in the Ice Walk area must lie on a non-icy section the loop, and the sum of the numbers in that clue indicates how many cells make up that non-icy section. Icy cells visited by the loop act as delimiters between non-icy sections.


• Lohkous:
  • Divide the Lohkous area into regions of orthogonally connected cells, each containing exactly one clue. Regions may not enter the Ice Walk area.
  • Each vertical and each horizontal run of cells in a region must have a length equal to one of the numbers in that region's clue.
  • Each number in a Lohkous clue must be represented by at least one vertical or horizontal run of cells in that clue's region.


• A number N outside the grid indicates that there are exactly N icy cells in the corresponding row or column, and exactly N distinct Lohkous regions in the corresponding row of column.


• Each letter represents a different positive integer. A question mark may represent any positive integer, but numbers may not repeat in a given clue. For example, a "??" Lohkous clue must have 2 different lengths of runs in its region, a non-icy section of 4 cells cannot contain a "?/?/?" clue (minimum of 6) or a "B/?" clue with B=2 (the question mark would be another 2), etc.

Example Solution

Main Puzzle

• Penpa+
• SudokuPad