Normal sudoku rules apply. Cells separated by an X must contain digits summing to 10. Cells separated by a V must contain digits summing to 5. Not all possible Xs and Vs are given. Any set of three sequential cells along an orange "Entropic" line must contain a low digit (123), a middle digit (456) and a high digit (789). Digits may repeat on lines if allowed by other rules. Digits placed on a purple line must be a set of consecutive, non-repeating digits (in any order).