FA-15319 / Numerics / Member archive
Involution permutations: complete assignment terminal · case 04
The exact involution permutations result violates the stated contract at complete assignment terminal.
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, 1, 2, -1], [0, 1, 3, 2], [0, 2, 1, -1], [0, 3, -1, 1], [1, 0, 2, -1], [1, 0, 3, 2], [2, 1, 0, -1], [2, 3, 0, 1], [3, 1, -1, 0], [3, 2, 1, 0]] | [[0, 1, 2, 3], [0, 1, 3, 2], [0, 2, 1, 3], [0, 3, 2, 1], [1, 0, 2, 3], [1, 0, 3, 2], [2, 1, 0, 3], [2, 3, 0, 1], [3, 1, 2, 0], [3, 2, 1, 0]] | Failed |
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