FA-41263 / Heap invariants / Member archive

Tournament inactive padding cannot use a finite incumbent priority · case 03

The bounded tournament padding certificate reports an incorrect champion.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

A tournament is built from m real leaves [id,key]. Round leaf capacity to the next power of two (empty capacity one) and append inactive None pads. Inactive pads always lose without numeric sentinel assumptions. Report capacity, padded leaves, champion id with arrival-order ties, match rounds, active-leaf indices, and key-comparison count m-1 for m>0.

Why this case matters

This isolates an internal heap representation or priority-structure invariant using deterministic finite records.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression certificate 1	`{"active_indices": [], "capacity": 1, "champion": "pad", "key_comparisons": 0, "leaves": [null], "rounds": 0}`	`{"active_indices": [], "capacity": 1, "champion": null, "key_comparisons": 0, "leaves": [null], "rounds": 0}`	Failed

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