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Kummer binomial valuation: incoming carry inclusion · case 02
The exact kummer binomial valuation result violates the stated contract at incoming carry inclusion.
Case contract
Input [n,k,p], 0<=k<=n p prime; return exponent of p in binomial(n,k) via carries adding k and n-k. Bounds: n<2^39.
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 | 1 | 2 | Failed |
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