Fire Photon Torpedoes!
- Kropki dots
- XV and number dots
- Renban lines
- Odd and even cells
The brief
Normal Sudoku rules apply. Numbers on blue lines are in a ratio of 2:1 with their neighbors on the line. Numbers with a black dot between them are in a ratio of 2:1. Numbers on purple lines are a set of non-repeating consecutive numbers in any order. Numbers with a V between them sum to 5. Numbers on gray circles are odd.