Round 306

Round UUID: adc2222a-9417-4cb7-a703-d682e614ce89

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   # ultra‑high‑risk, ultra‑stable carve‑out (tightened)
3.  Else if PC ≤ 3                                          → Denied     # blanket low‑PC block
4.  Else if 6 ≤ PC < 7 AND RiskScore ≥ 10                  → Denied     # extreme‑risk screen in 6‑to‑7 PC band
5.  Else if 6 ≤ PC < 7 AND RiskScore ≥ 5.5                 → Denied     # mid‑risk screen for the same band
6.  Else if 4 ≤ PC < 6 AND RiskScore < 4.5                 → Denied     # low‑risk filter for mid‑PC rows
7.  Else if 4.5 ≤ PC < 6 AND RiskScore ≥ 6.5               → Approved   # NEW: recovers genuine approvals in mid‑PC band
8.  Else if 3 < PC < 4 AND RiskScore ≥ 8                   → Approved
9.  Else if 6 ≤ PC < 7 AND RiskScore ≥ 2.5                 → Approved   # remaining genuine approvals in that band
10. Else if 7 ≤ PC < 8 AND RiskScore ≥ 1.5                 → Approved
11. Else if RiskScore ≥ 9                                   → Approved   # high‑risk override (stricter threshold)
12. Else                                                    → Denied

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