{"id":"tickets-k-must-be-positive","text":"`time_to_buy_tickets` assumes `tickets[k] >= 1`; if `tickets[k]` were 0, the expression `tickets[k] - 1` becomes -1, causing incorrect negative contributions from `min` for post-k elements.","truth_value":"IN","source":"entries/2026/06/06/time-needed-to-buy-tickets-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"tickets-k-must-be-positive","truth_value":"IN","reason":"premise"}]}}