FA-94423 / Exam timetabling constraints / Member archive
Same-period clashes included in proximity cost · case 03
Clashing pairs add 32 to the soft cost.
Case contract
enrol [student, exam] rows (may repeat) and exam periods. For each student, each pair of distinct exams d = 1..5 periods apart costs 2^(5-d). Return [total, number of students, total/students as a reduced fraction string].
Why this case matters
The Carter proximity cost is the standard exam-timetabling quality measure; each piece has a known implementation pitfall.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression: proximity window 1 | [111, 4, "111/4"] | [79, 4, "79/4"] | Failed |
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