Normal sudoku rules apply. The grid is partially covered in fog; placing a correct digit will clear the fog in that cell and possibly elsewhere in the grid. Each of the following constraint types may contain no repeated digits anywhere in the puzzle. E.g., if a parity line contains a 5, then no other parity line cell in the puzzle may contain a 5: 1) Digits in a cage must sum to the total given; 2) Digits joined by an X sum to 10; 3) Adjacent digits along a red parity line (PR) must alternate between odd and even digits; 4) A purple renban line (RB) must contain a set of consecutive digits in any order; 5) A yellow nabner line (NB) must contain a set of nonconsecutive digits in any order; 6) Any set of three digits along an orange entropic line (ENT) line must contain one digit from each of the following sets: 123; 456; 789; 7) Any set of three digits along a teal modular line (MOD) must contain one digit from each of the following sets: 147; 258; 369; 8) Pairs of digits equidistant from the centre of a pink zipper line (ZIP) must sum to the digit in the centre of that line, notated by a small circle. Lines in the puzzle never intersect or share cells.