{"id":"loop-terminates-at-one","text":"The width search loop always terminates because `w = 1` divides every positive integer, serving as a universal fallback.","truth_value":"IN","source":"entries/2026/06/06/construct-the-rectangle-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"loop-terminates-at-one","truth_value":"IN","reason":"premise"}]}}