{"id":"streaming-and-mutation-jointly-minimize-footprint","text":"The dominant space-minimization strategy combines two complementary mechanisms at different granularities: single-pass streaming with scalar accumulators avoids materializing intermediate collections (algorithmic minimization), while in-place mutation avoids allocating separate output structures (structural minimization) — together achieving minimal total memory footprint.","truth_value":"IN","source":"","source_url":"","source_hash":"","justifications":[{"type":"SL","antecedents":["single-pass-streaming-dominant-shape","space-minimization-dual-strategy"],"outlist":[],"label":"Streaming avoids intermediate allocations and mutation avoids output allocations — orthogonal strategies that compose"}],"dependents":["resource-optimization-coordinated-across-pipeline"],"metadata":{"last_reviewed":"2026-06-07T22:02:22","review_result":"pass"},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"streaming-and-mutation-jointly-minimize-footprint","truth_value":"IN","reason":"SL justification valid","antecedents":["single-pass-streaming-dominant-shape","space-minimization-dual-strategy"],"label":"Streaming avoids intermediate allocations and mutation avoids output allocations — orthogonal strategies that compose"},{"node":"single-pass-streaming-dominant-shape","truth_value":"IN","reason":"SL justification valid","antecedents":["early-exit-optimizations-pervasive","o1-space-via-running-accumulators","extend-or-reset-canonical-consecutive-pattern"],"label":"these three patterns compose into a unified streaming shape — accumulators provide O(1) state, extend-or-reset handles consecutive-element logic, and early-exit bounds work to the minimum needed"},{"node":"early-exit-optimizations-pervasive","truth_value":"IN","reason":"SL justification valid","antecedents":["three-consecutive-odds-early-exit","path-crossing-early-exit","isomorphic-early-return","first-violation-sufficiency"],"label":"Early exit is the default control flow strategy, not an optimization afterthought"},{"node":"three-consecutive-odds-early-exit","truth_value":"IN","reason":"premise"},{"node":"path-crossing-early-exit","truth_value":"IN","reason":"premise"},{"node":"isomorphic-early-return","truth_value":"IN","reason":"premise"},{"node":"first-violation-sufficiency","truth_value":"IN","reason":"premise"},{"node":"o1-space-via-running-accumulators","truth_value":"IN","reason":"SL justification valid","antecedents":["highest-altitude-single-pass","longest-task-single-pass-o1-space","iterative-reversal-O1-space","min-tracking-pattern-shared"],"label":"Running accumulators trade re-traversal impossibility for constant memory across streaming-style problems"},{"node":"highest-altitude-single-pass","truth_value":"IN","reason":"premise"},{"node":"longest-task-single-pass-o1-space","truth_value":"IN","reason":"premise"},{"node":"iterative-reversal-O1-space","truth_value":"IN","reason":"premise"},{"node":"min-tracking-pattern-shared","truth_value":"IN","reason":"premise"},{"node":"extend-or-reset-canonical-consecutive-pattern","truth_value":"IN","reason":"SL justification valid","antecedents":["extend-or-reset-pattern","maxpower-eager-max-update","no-post-loop-fixup-needed"],"label":"Run-tracking with eager max avoids off-by-one errors that end-of-array special cases introduce"},{"node":"extend-or-reset-pattern","truth_value":"IN","reason":"premise"},{"node":"maxpower-eager-max-update","truth_value":"IN","reason":"premise"},{"node":"no-post-loop-fixup-needed","truth_value":"IN","reason":"premise"},{"node":"space-minimization-dual-strategy","truth_value":"IN","reason":"SL justification valid","antecedents":["o1-space-via-running-accumulators","in-place-mutation-with-return-convention"],"label":"Algorithmic and structural space reduction are independent and composable"},{"node":"in-place-mutation-with-return-convention","truth_value":"IN","reason":"SL justification valid","antecedents":["in-place-mutation-return-convention","in-place-sort-mutation-pattern","assign-cookies-mutates-inputs","fused-reverse-invert"],"label":"The mutate-and-return idiom matches LeetCode's expected interface pattern"},{"node":"in-place-mutation-return-convention","truth_value":"IN","reason":"premise"},{"node":"in-place-sort-mutation-pattern","truth_value":"IN","reason":"premise"},{"node":"assign-cookies-mutates-inputs","truth_value":"IN","reason":"premise"},{"node":"fused-reverse-invert","truth_value":"IN","reason":"premise"}]}}