{"id":"pairs-leftovers-conservation","text":"`count_pairs_leftovers` guarantees the invariant `pairs * 2 + leftovers == len(nums)` — every element is accounted for exactly once as either paired or left over.","truth_value":"IN","source":"entries/2026/06/06/maximum-number-of-pairs-in-array-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"pairs-leftovers-conservation","truth_value":"IN","reason":"premise"}]}}