The Mechanism · Gated-generation receipt

gen-briefly-explain-merge-sort-and-one-common-misconception-abou-4da6

stable pending witness
2026-05-29 06:11:52 UTC · anthropic/claude-sonnet-4-5

Prompt

Briefly explain merge sort and one common misconception about it.
65 chars

Generation

# Merge Sort **How it works:** Merge sort is a divide-and-conquer algorithm that recursively splits an array in half until each piece contains one element, then merges those pieces back together in sorted order. The merging process compares elements from two sorted subarrays and combines them into a larger sorted array. **Time complexity:** O(n log n) in all cases (best, average, and worst) ## Common Misconception **"Merge sort is always the best choice because it's O(n log n)"** While merge sort has excellent time complexity, it requires **O(n) extra space** for the temporary arrays used during merging. This makes it less suitable for: - Memory-constrained environments - Situations where in-place sorting is required - Nearly-sorted data (where insertion sort would be faster in practice) Algorithms like quicksort (average O(n log n), in-place) or heapsort (worst-case O(n log n), in-place) may be better choices depending on the context.
20 tokens in · 238 tokens out · 6174 ms · $0.0036

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
6181.6 ms
Base LLM
6174.2 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0036

Trail

06:11:52 received prompt_chars=65 verifiers=['scripture_anchors', 'theology_doctrine']
06:11:52 red_gate decision=pass reason=no disqualifying input patterns detected
06:11:59 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=20 tokens_out=238 latency_ms=6174.2 cost_usd=0.0036
06:11:59 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:11:59 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:11:59 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:11:59 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:11:59 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:11:59 signed hash_algo=sha256 hash=sha256:a6a1f8c447bdff0118fe1b64ff0da1d12e3077d92a0c7733b1928ea0cf049645

Content hash

sha256:a6a1f8c447bdff0118fe1b64ff0da1d12e3077d92a0c7733b1928ea0cf049645

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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