Logic Masters Deutschland e.V.

Normal Sudoku rules apply.

Every cell is one of the four elements: water, fire, earth, or air. An equals sign between two cells indicates that those cells are the same element. The digit in a cell with a circle indicates the number of distinct elements present in the set of cells consisting of that cell and any orthogonally or diagonally adjacent cells (not all possible circles are necessarily given).

Element digit rules:
-The digit in a water cell must be 5 or less.
-The digit in a fire cell must be 5 or more.
-The digits in a pair of orthogonally adjacent earth cells must differ by 3 or less.
-The digits in a pair of orthogonally adjacent air cells must differ by 3 or more.

Element adjacency rules:
-A water cell and a fire cell may not be orthogonally adjacent.
-A water cell and an air cell may be orthogonally adjacent ONLY if the air cell is directly above the water cell.
-A fire cell must be orthogonally adjacent to at least one air cell, and to at least one other fire cell.
-All of the earth cells form a single orthogonally connected region.

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