{"schema_version":"ocme-public-explorer-results-v1","locale":"zh-Hant","filters":{"q":"q-20261015-advance-20261115-r04-linear-program-duality-0065"},"total":1,"page":1,"page_count":1,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261015-advance-20261115-r04-linear-program-duality-0065","number":25890,"title":{"zh-Hant":"第 25890 題：線性規劃對偶","en":"Question 25890: A Feasible Zero-Gap Pair Certifies Both Primal and Dual Optimality"},"family_id":"qf-mod46-lpdual-zero-gap-certificate","batch_id":"batch-20261015-advance-20261115-r04-linear-program-duality-foundations","mko_ids":["mko-linear-program-duality"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e5afb6702c1cb30fb452fd6fcd74d48aa592f7478178e91ab6eb37fe3ed8c2d2","derivation_sha256":"86cb381f4bc3ecb033f786672b0914968ba7ae40ad7115ac53d7d441e88d3164"}]}