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Polynomial long division: quotient degree displacement · case 03
The exact polynomial long division result violates the stated contract at quotient degree displacement.
Case contract
Input [A,B] integer ascending coefficients, B nonzero canonical; return rational quotient/remainder coefficient pairs; zero polynomial is []. Bounds: len(A)<=4 and 1<=len(B)<=4.
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 | null | [[[-3, 4], [-1, 2]], [[-7, 4]]] | Failed |
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