{"id":"queue-order-irrelevance","text":"The correctness of `countStudents` relies on the insight that queue rotation changes when a student eats but not whether they eat; any student of the matching type will eventually rotate to the front.","truth_value":"IN","source":"entries/2026/06/06/number-of-students-unable-to-eat-lunch-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"queue-order-irrelevance","truth_value":"IN","reason":"premise"}]}}