{"id":"sum-substitution-avoids-float-precision","text":"`distinctAverages` compares sums instead of averages to determine distinctness, exploiting the fact that dividing by a constant preserves distinctness — this eliminates floating-point precision issues entirely.","truth_value":"IN","source":"entries/2026/06/06/number-of-distinct-averages-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":["integer-arithmetic-avoids-float-precision"],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"sum-substitution-avoids-float-precision","truth_value":"IN","reason":"premise"}]}}