Round 277

Round UUID: da21d425-6b69-4318-98b4-2f9da823b4be

Prompt:

You are given two numeric values for an entity: “TimelineDeviation” (T) and “ParadoxCount” (P). Using the rules below in order, decide whether to label the entity as “Approved” or “Denied.” Output only “Approved” or “Denied.”

Rules:

1) If T < 8:
   a) If P ≥ 8, label “Approved.”
   b) Otherwise, label “Denied.”
   (Rationale: Extremely low TimelineDeviation is typically denied, but very large ParadoxCount can justify approval.)

2) Else if 8 ≤ T < 10:
   a) If P ≥ 6, label “Approved.”
   b) Otherwise, label “Denied.”
   (Rationale: We raised the threshold for paradoxes to 6 to fix previously observed false positives in this range.)

3) Else if T > 16:
   a) If P < 2, label “Denied.”
   b) Otherwise, label “Approved.”
   (Rationale: Extremely high T with very low P is denied, otherwise we approve.)

4) Else if 10 ≤ T < 12:
   a) If P ≥ 4.5, label “Approved.”
   b) Otherwise, label “Denied.”
   (Rationale: This range was mostly correct, but we maintain a minimum threshold for paradox counts.)

5) Else if 12 ≤ T < 13:
   a) If P ≥ 6, label “Denied.”
      (Rationale: This ensures we deny high paradox counts that mistakenly got approved before.)
   b) Else if P ≥ 3.9, label “Approved.”
   c) Otherwise, label “Denied.”
   (Rationale: This fixes contradictory cases within the 12–13 range.)

6) Else if 13 ≤ T ≤ 16:
   a) If T ≥ 15 AND P < 3, label “Denied.”
      (Rationale: We still deny extremely high T with too low P.)
   b) Otherwise, label “Approved.”
   (Rationale: This allows borderline T≥13 with moderate or high P to be approved, fixing false denials like T≈13.8 & P≈7.)

Remember to apply these rules in the stated order, and output only “Approved” or “Denied.”