Round 303

Round UUID: 02d7b97a-a457-4fec-ad1d-b13095b43329

Prompt:

Task: Decide whether the request should be Approved or Denied.

Variables supplied per row
• TimelineDeviation  (TD) – real number
• ParadoxCount      (PC) – real number

Derived value
RiskScore = TD − PC   (real number, no rounding)

Apply the following rules IN THE EXACT ORDER SHOWN (the first rule that matches determines the output):
1. If PC ≥ 8                                            → Approved
2. Else if PC ≤ 3                                       → Denied
3. Else if 3 < PC < 4   AND RiskScore ≥ 4.2            → Approved   # recovers mid‑3 PC true positives
4. Else if PC < 4       AND RiskScore < 4.5            → Denied     # low‑PC, low‑risk filter
5. Else if 4 ≤ PC < 5   AND RiskScore < 7              → Denied     # blocks mid‑PC modest‑risk false positives
6. Else if 4 ≤ PC < 6   AND RiskScore < 4.5            → Denied     # tightened mid‑PC low‑risk filter
7. Else if 6 ≤ PC < 8   AND RiskScore ≥ 3.0            → Approved   # approve genuine high‑risk in that band
8. Else if RiskScore ≥ 6.5                             → Approved
9. Else if PC ≥ 4       AND RiskScore ≥ 3.5            → Approved
10. Else                                               → Denied

Output format: reply with exactly one word
   Approved
or
   Denied
(no extra characters, explanations or whitespace).