{"id":"min-cuts-even-half-odd-full","text":"`min_cuts(n)` returns 0 for n=1, n//2 for even n, and n for odd n > 1 — even-numbered slices allow diameter reuse (each cut creates two boundaries) while odd-numbered slices cannot.","truth_value":"IN","source":"entries/2026/06/06/minimum-cuts-to-divide-a-circle-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"min-cuts-even-half-odd-full","truth_value":"IN","reason":"premise"}]}}