{"id":"pivot-integer-closed-form-o1","text":"`find_pivot` reduces the problem to checking whether `n*(n+1)/2` is a perfect square, yielding O(1) time and space with no loops or recursion.","truth_value":"IN","source":"entries/2026/06/06/find-the-pivot-integer-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"pivot-integer-closed-form-o1","truth_value":"IN","reason":"premise"}]}}