FA-15210 / Numerics / Member archive
Dyck word ranking: opening depth update · case 05
The exact dyck word ranking result violates the stated contract at opening depth update.
Case contract
Input balanced parentheses word with every prefix nonnegative; return zero-based lexicographic rank where opening precedes closing. Bounds: at most five opening parentheses.
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 | 7 | 1 | Failed |
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