Round 304

Round UUID: 5dcac6eb-726a-4c01-862e-6032701983ea

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 ≤ 2.5   AND RiskScore ≥ 13                  → Approved   # extreme‑risk, ultra‑low‑PC carve‑out
3. Else if PC ≤ 3                                          → Denied     # general low‑PC block
4. Else if 6 ≤ PC < 7 AND RiskScore ≥ 10                  → Denied     # blocks high‑risk FP in the 6‑to‑7 PC band
5. Else if 3 < PC < 4  AND RiskScore ≥ 8                  → Approved   # tightened mid‑3 PC approval
6. Else if PC < 4      AND RiskScore < 4.5                → Denied     # low‑PC, low‑risk filter
7. Else if 4 ≤ PC < 5  AND RiskScore < 7                 → Denied     # blocks mid‑PC modest‑risk false positives
8. Else if 4 ≤ PC < 6  AND RiskScore < 4.5                → Denied     # tightened mid‑PC low‑risk filter
9. Else if 7 ≤ PC < 8  AND RiskScore ≥ 1.5               → Approved   # recover missed approvals in high‑PC band
10. Else if 6.5 ≤ PC < 8 AND RiskScore ≥ 3.5             → Approved   # remaining genuine approvals in that band
11. Else if RiskScore ≥ 7.5                               → Approved   # high‑risk override (threshold raised)
12. Else if PC ≥ 4     AND RiskScore ≥ 3.5                → Approved
13. Else                                                  → Denied

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