Sum-Free Cages

by FullDeck

0:00

by FullDeck · Heartburn

CASE 1156

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.

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