Round 305

Round UUID: 99df0285-6365-40c4-93ab-ca54448edcd1

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   AND RiskScore ≥ 10                    → Approved   # high‑risk, low‑PC carve‑out (widened)
3.  Else if PC ≤ 3                                          → Denied
4.  Else if 6 ≤ PC < 7 AND RiskScore ≥ 10                  → Denied     # extreme‑risk filter in 6‑to‑7 band
5.  Else if 6 ≤ PC < 7 AND RiskScore ≥ 5.5                → Denied     # mid‑risk block for that band
6.  Else if 7 ≤ PC < 8 AND 5 ≤ RiskScore < 7              → Denied     # mid‑risk block for 7‑to‑8 band
7.  Else if 3 < PC < 4 AND RiskScore ≥ 8                   → Approved
8.  Else if PC < 4    AND RiskScore < 4.5                  → Denied
9.  Else if 4 ≤ PC < 5 AND RiskScore < 7                   → Denied
10. Else if 4 ≤ PC < 6 AND RiskScore < 4.5                → Denied
11. Else if 6 ≤ PC < 7 AND RiskScore ≥ 2.5                → Approved   # recovers genuine low‑risk approvals in that band
12. Else if 7 ≤ PC < 8 AND RiskScore ≥ 1.5                → Approved   # remaining genuine approvals in high‑PC band
13. Else if RiskScore ≥ 7.5                                → Approved
14. Else if PC ≥ 4    AND RiskScore ≥ 3.5                  → Approved
15. Else                                                    → Denied

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