{"id":"frequency-sort-uses-composite-tuple-key","text":"The sort key `(freq[x], -x)` encodes both criteria in a single tuple, relying on Python's lexicographic tuple comparison rather than chaining separate sorts.","truth_value":"IN","source":"entries/2026/06/06/sort-array-by-increasing-frequency-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"frequency-sort-uses-composite-tuple-key","truth_value":"IN","reason":"premise"}]}}