{"id":"greedy-single-pass-virtual-state-pattern","text":"`min_operations` (array increasing) tracks a virtual `prev` value instead of mutating the input array, keeping the function pure while achieving O(n) time and O(1) space.","truth_value":"IN","source":"entries/2026/06/06/minimum-operations-to-make-the-array-increasing-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"greedy-single-pass-virtual-state-pattern","truth_value":"IN","reason":"premise"}]}}