Normal sudoku rules apply. Correctly placed digits clear fog from their own cell and possibly other cells – no guessing is necessary. The sum of the digits inside each cage is equal to the small number in the top left corner, and digits cannot repeat within a cage. Cage sums are in the left-most cell in the highest row reached by the cage, and all cage sums are given. Purple lines contain a non-repeating set of consecutive digits in any order. Lines do not branch or overlap.