FA-14292 / Numerical aggregation / Member archive

Capped weight effective size: The denominator squares total weight instead of summing squares. · case 02

The reduction disagrees with its explicit aggregation oracle.

Member previewVariant 2 · 3 implementations · 9 checks per implementation

Case contract

For nonnegative integer importance weights and positive integer cap, clip each weight to cap, then return Kish effective size (sum clipped weights)**2/sum squared clipped weights as exact Fraction string. Negative weight, invalid cap, or zero total yields None.

Why this case matters

Exact bounded examples isolate a reduction defect without floating-point or external-service effects.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
regression 1	`"1"`	`"18/7"`	Failed

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