{"id":"integer-accumulators-precision-safe","text":"Scalar streaming accumulators achieve exact results for all inputs within LeetCode's constraint bounds because Python's arbitrary-precision integers prevent overflow and the repo systematically chooses integer arithmetic over floating-point — but this precision guarantee breaks for any solution that introduces floating-point division into the accumulation chain.","truth_value":"OUT","source":"","source_url":"","source_hash":"","justifications":[{"type":"SL","antecedents":["o1-space-via-running-accumulators","integer-arithmetic-avoids-float-precision"],"outlist":["tax-float-division-imprecision"],"label":"Integer accumulators are precision-safe by Python's arbitrary-precision guarantee, gated on no float division in the accumulation path"}],"dependents":[],"metadata":{"source_type":"derived","_retracted":true},"created_at":"","updated_at":"2026-06-17T15:32:06+00:00","reviewed_at":"","verified_at":"","retracted_at":"2026-06-17T15:32:06+00:00","explanation":{"steps":[{"node":"integer-accumulators-precision-safe","truth_value":"OUT","reason":"SL justification invalid","failed_antecedents":[],"label":"Integer accumulators are precision-safe by Python's arbitrary-precision guarantee, gated on no float division in the accumulation path","violated_outlist":["tax-float-division-imprecision"]}]}}