Round 276

Round UUID: cf54ce2b-13fb-4847-ac0c-0792e688878c

Prompt:

You are given two numeric values for an entity: “TimelineDeviation” (T) and “ParadoxCount” (P). Following 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: Very large paradox counts can justify approval even when Timeline Deviation is below 8.)

2) Else if 8 ≤ T < 10:
   a) If P ≥ 5, label “Approved.”
   b) Otherwise, label “Denied.”
   (Rationale: Slightly higher paradox counts in this range justify approval, but we deny otherwise.)

3) Else if T > 16:
   a) If P < 2, label “Denied.”
   b) Otherwise, label “Approved.”
   (Rationale: We still deny extremely high timeline deviations when paradox counts are too low, but approve otherwise.)

4) Else if 10 ≤ T < 13:
   • Subdivide further:
     a) If 10 ≤ T < 12:
        – If P ≥ 4.5, label “Approved.”
        – Else, label “Denied.”
     b) If 12 ≤ T < 13:
        – If P ≥ 3.9, label “Approved.”
        – Else, label “Denied.”
   (Rationale: This refines the borderline zone where we had contradictory misclassifications. We require a slightly higher paradox count for T < 12 than for T ≥ 12 to fix earlier mistakes.)

5) Else if 13 ≤ T ≤ 16:
   a) If T ≥ 15 AND P < 3, label “Denied.”
      (Rationale: Denies extremely high deviation around 15 with insufficient paradox support.)
   b) Else if P ≥ 8, label “Approved.”
   c) Else if P ≥ 6, label “Denied.”
   d) Otherwise, label “Approved.”
   (Rationale: We allow large paradox counts (≥8) to justify approval. Moderate paradox counts (6–7.999) we deny in this mid-high T range. Everything else in 13–16 remains approved, aligning with previous success but fixing contradictory cases near T=14 and P≈6–8.)

Remember to apply these rules in the stated order to produce either “Approved” or “Denied.”