FA-14503 / Numerics / Member archive
Farey successor sequence: neighbor recurrence · case 03
The exact farey successor sequence result violates the stated contract at neighbor recurrence.
Case contract
Input order n>=1; return all reduced fractions in [0,1] with denominator<=n, increasing. Bounds: 1<=n<=24.
Why this case matters
Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit oracle 0 | [[0, 1], [1, 4], [1, 5], [2, 9], [3, 14], [2, 9]] | [[0, 1], [1, 4], [1, 3], [1, 2], [2, 3], [3, 4], [1, 1]] | Failed |
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