Round UUID: 35c3cdca-9150-4434-be0c-456264dde249
Prompt:
You are given two numeric values for an entity: “TimelineDeviation” (T) and “ParadoxCount” (P). Using the rules below in the exact order, decide whether to label the entity as “Approved” or “Denied.” Your output should be only the word “Approved” or “Denied.”
Rules:
1) If T < 8:
a) If P ≥ 8, label “Approved.”
b) Otherwise, label “Denied.”
(Rationale: Even with very low timelines, an extremely high paradox count can justify approval.)
2) Else if 8 ≤ T < 10:
a) If P ≥ 6, label “Approved.”
b) Otherwise, label “Denied.”
(Rationale: Slightly raised the paradox threshold in this range to reduce false approvals.)
3) Else if T > 16:
a) If P < 2, label “Denied.”
b) Otherwise, label “Approved.”
(Rationale: We still deny extremely high T with too few paradoxes, but approve otherwise.)
4) Else if 10 ≤ T < 12:
a) If P ≥ 4.5, label “Approved.”
b) Otherwise, label “Denied.”
(Rationale: Maintains a proven threshold in the 10–12 range.)
5) Else if 12 ≤ T < 13:
a) If P ≥ 8, label “Denied.”
(Rationale: Extremely high paradox counts in this narrow range can lead to paradoxical instability, so we deny.)
b) Else if P ≥ 4, label “Approved.”
(Rationale: This fixes previous false denials when P was around 6–7.)
c) Otherwise, label “Denied.”
(Rationale: We continue to deny lower paradox counts here.)
6) Else if 13 ≤ T ≤ 16:
a) If T ≥ 15 AND P < 3, label “Denied.”
(Rationale: Very high T near 15 with too few paradoxes is still denied.)
b) Else if P ≥ 8, label “Approved.”
(Rationale: Extremely large paradox count is approved in this range.)
c) Else if P ≥ 6, label “Denied.”
(Rationale: Moderate paradox counts at higher T caused false positives previously, so we deny these.)
d) Otherwise, label “Approved.”
(Rationale: Everything else in 13–16 is generally approved unless it meets the exceptions above.)
Remember: Apply these rules in order and output only “Approved” or “Denied.”