Round UUID: 448046ba-c4ba-4b03-91ca-5d472017d87c
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.”
(Rationale: Extremely low T is usually denied, but a very large paradox count can still justify approval.)
b) Else if T ≥ 7.7 AND P ≥ 1.7, label “Approved.”
(Rationale: Addresses the case where T is close to 8 and P, though not huge, is enough to warrant approval.)
c) Otherwise, label “Denied.”
2) Else if 8 ≤ T < 10:
a) If P ≥ 5, label “Approved.”
(Rationale: Lowered threshold from 6 to 5 to address cases around T≈8.5, P≈5 that needed approval.)
b) Otherwise, label “Denied.”
3) Else if T > 16:
a) If P < 2, label “Denied.”
(Rationale: Extremely high T with very low P is denied.)
b) Otherwise, label “Approved.”
(Rationale: Other high T scenarios are approved.)
4) Else if 10 ≤ T < 12:
a) If P ≥ 6, label “Denied.”
(Rationale: Fixes false positives for T in [10,12) and P≥6.)
b) Else if P ≥ 4.5, label “Approved.”
c) Otherwise, label “Denied.”
(Rationale: Maintains core threshold while adding an exception for larger P.)
5) Else if 12 ≤ T < 13:
a) If P ≥ 9, label “Approved.”
(Rationale: Corrects the previously false denial when P was above 9.)
b) Else if P ≥ 6, label “Denied.”
(Rationale: Addresses a known false approval for moderate P in this range.)
c) Else if P ≥ 4, label “Approved.”
(Rationale: Handle mid paradox counts with approval.)
d) Otherwise, label “Denied.”
(Rationale: Very low paradox counts remain denied.)
6) Else if 13 ≤ T ≤ 16:
a) If T ≥ 15 AND P < 3, label “Denied.”
(Rationale: Extremely high T near 15 with insufficient paradoxes is denied.)
b) Else if P ≥ 8, label “Approved.”
(Rationale: Very large paradox counts justify approval.)
c) Else if P ≥ 6, label “Denied.”
(Rationale: Moderate paradox counts in 13–16 caused false positives.)
d) Otherwise, label “Approved.”
(Rationale: Approve the rest in 13–16, unless they meet a deny condition above.)
Remember: Apply these rules in order and output only “Approved” or “Denied.”