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Balanced odd radix encoding: unsigned residue extraction · case 05

The exact balanced odd radix encoding result violates the stated contract at unsigned residue extraction.

Member previewVariant 5 · 3 implementations · 8 checks per implementation

Case contract

Input [integer, odd radix>=3]; return least-significant-first balanced digits between -(base//2) and base//2, zero=[0]. Bounds: |integer|<=100 and radix<=9.

Why this case matters

Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
explicit oracle 0	`[0, 0, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]`	`[0, 0, 1, -1, -1]`	Failed

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This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

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