Sum-Free Cages
by FullDeck
Heartburn
- Killer cages
- Thermometers
- Lines of set digits
- Sum-free cages
- Thermo
The brief
Normal sudoku rules apply. Digits on thermometers must increase from bulb to tip. Digits on purple lines are prime. Cages are sum-free modulo 10. That means that for any pair of numbers (including doubles) within the cage, the ones digit of their sum cannot be within the cage. For example, if 6 and 7 are in the cage, then neither 2, 3, nor 4 can be in the cage since 6 + 6 = 12, 6 + 7 = 13, and 7 + 7 = 14. Note that while the sum-free condition includes doubles, digits cannot repeat within a cage.