{"id":"greedy-consecutive-triples-sufficiency","text":"After sorting descending, only consecutive triples need checking for the largest-perimeter-triangle problem; non-adjacent triples can never produce a larger valid perimeter than the first valid consecutive triple.","truth_value":"IN","source":"entries/2026/06/06/largest-perimeter-triangle-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"greedy-consecutive-triples-sufficiency","truth_value":"IN","reason":"premise"}]}}