Round UUID: 67e7e643-e67e-49a6-a19c-9869f00abd0f
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 TimelineDeviation is usually denied, but a very large ParadoxCount justifies approval.)
b) Otherwise, label “Denied.”
(Rationale: Remove the old T≥7.7 exception that incorrectly approved some borderline cases.)
2) Else if 8 ≤ T < 10:
a) If P ≥ 5, label “Approved.”
(Rationale: Slightly lowering the threshold in this range helps approve needed cases like T≈8.5, P≈5.)
b) Otherwise, label “Denied.”
(Rationale: Consistency for moderate T with insufficient paradoxes.)
3) Else if T > 16:
a) If P < 3, label “Denied.”
(Rationale: Extremely high T with too few paradoxes is denied.)
b) Else if P ≥ 8, label “Approved.”
(Rationale: Very large paradox counts can justify approval above T=16.)
c) Otherwise, label “Denied.”
(Rationale: Middle-range paradoxes in T>16 saw incorrect approvals, so they are now denied.)
4) Else if 10 ≤ T < 12:
a) If P ≥ 4.5, label “Approved.”
(Rationale: Expanded approval in this range fixes missed approvals for T≈10–12 and P≥4.5.)
b) Otherwise, label “Denied.”
(Rationale: Lower paradox counts here generally do not justify approval.)
5) Else if 12 ≤ T < 13:
a) If P ≥ 9, label “Approved.”
(Rationale: Extremely high paradox count is approved even if T<13.)
b) Else if P ≥ 7, label “Denied.”
(Rationale: Prevent false positives when T≈12–13 and P≥7 but <9.)
c) Else if P ≥ 4, label “Approved.”
(Rationale: Fixes previous missed approvals around P≈6–7.)
d) Otherwise, label “Denied.”
(Rationale: Very low paradox counts remain denied.)
6) Else if 13 ≤ T ≤ 16:
a) If P < 3, label “Denied.”
(Rationale: Fixes the false approval when T≈13 and P≈2.8.)
b) Else if P ≥ 8, label “Approved.”
(Rationale: Very large paradox count is approved.)
c) Else if P ≥ 6, label “Denied.”
(Rationale: Addresses moderate paradox counts in 13–16 that previously caused false positives.)
d) Otherwise, label “Approved.”
(Rationale: Approve the remainder of T in [13,16], unless a deny condition is met.)
Remember: Apply the above rules in order and output only “Approved” or “Denied.”