FA-15334 / Numerics / Member archive
Involution permutations: transposition first image · case 04
The exact involution permutations result violates the stated contract at transposition first image.
Case contract
Input 0<=n<=7; return lexicographically sorted permutations p of 0..n-1 satisfying p[p[i]]=i.
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, 0, 2, 2, 4], [0, 0, 2, 3, 2], [0, 0, 2, 3, 3], [0, 0, 2, 3, 4], [0, 1, 0, 1, 4], [0, 1, 0, 3, 1], [0, 1, 0, 3, 3], [0, 1, 0, 3, 4], [0, 1, 1, 0, 4], [0, 1, 1, 3, 0], [0, 1, 1, 3, 3], [0, 1, 1, 3, 4], [0, 1, 2, 0, 1], [0, 1, 2, 0, 2], [0, 1, 2, 0, 4], [0, 1, 2, 1, 0], [0, 1, 2, 1, 2], [0, 1, 2, 1, 4], [0, 1, 2, 2, 0], [0, 1, 2, 2, 1], [0, 1, 2, 2, 4], [0, 1, 2, 3, 0], [0, 1, 2, 3, 1], [0, 1, 2, 3, 2], [0, 1, 2, 3, 3], [0, 1, 2, 3, 4]] | [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 1, 4, 3, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 0, 4, 3, 2], [2, 1, 0, 3, 4], [2, 1, 0, 4, 3], [2, 3, 0, 1, 4], [2, 4, 0, 3, 1], [3, 1, 2, 0, 4], [3, 1, 4, 0, 2], [3, 2, 1, 0, 4], [3, 4, 2, 0, 1], [4, 1, 2, 3, 0], [4, 1, 3, 2, 0], [4, 2, 1, 3, 0], [4, 3, 2, 1, 0]] | Failed |
MEMBER ARCHIVE
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