FA-14413 / Numerics / Member archive
Bounded diophantine: box membership · case 03
The exact bounded diophantine result violates the stated contract at box membership.
Case contract
Input [a,b,c,L], positive a,b and nonnegative L; lexicographically ordered nonnegative solutions a*u+b*v=c with u,v<=L.
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, -2], [1, -3], [2, -4]] | [] | Failed |
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This record includes three runnable implementations, regression fixtures, execution results, and source hashes.
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