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Continued fraction convergents: denominator recurrence · case 03
The exact continued fraction convergents result violates the stated contract at denominator recurrence.
Case contract
Input nonempty coefficients with positive terms after first; return every convergent as [numerator,positive denominator].
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 | [[3, 4]] | [[3, 1]] | Failed |
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