FA-41324 / Heap invariants / Member archive

Skew heap subtree weight includes the node and both disjoint child subtrees · case 04

The bounded skew heavy certificate certificate reports an incorrect subtree sizes.

Member previewVariant 4 · 3 implementations · 7 checks per implementation

Case contract

A skew-heap amortized certificate supplies nodes [id,left_size,right_size] with nonnegative subtree sizes. A right edge is heavy when right_size exceeds half the complete subtree size (1+left+right). Report heavy ids, light right ids, complete sizes, heavy potential, right-path charged light visits, and potential change between before and after certificates. Path ids refer to before nodes; this is a stipulated accounting model.

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 2	`{"heavy": [], "light_right": [], "light_visits": 1, "potential": 0, "potential_delta": 0, "subtree_sizes": [0]}`	`{"heavy": [], "light_right": [], "light_visits": 1, "potential": 0, "potential_delta": 0, "subtree_sizes": [1]}`	Failed

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