The Round Table of Neighbours
At a round table sit 2026 islanders, each a knight (always truthful) or a knave (always lying). Every one of them says: "My two neighbours are of different types (one knight and one knave)." How many of the 2026 are knights? Give a single integer.
Related problems & prerequisites
Worth solving first
- Knaves Never Stand Together 6.0/10
- The Spy Who Claimed to Be a Spy 5.9/10
- The Fork in the Road 5.0/10
Source: Round-table variant of a standard knights-and-knaves exercise; the period-3 recurrence is folklore. Statement written for AxiomIQ.