{"schema_version":"ocme-public-explorer-results-v1","locale":"en","filters":{"q":"q-20261015-advance-20261115-r04-linear-program-duality-0059"},"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-0059","number":25884,"title":{"zh-Hant":"第 25884 題：線性規劃對偶","en":"Question 25884: 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":"6eaacb8bce44f909056d95e171064489a52f7faa41a11b1cc310f3dd526f0045","derivation_sha256":"6cffbafb3b027c14ecbefadc483fc15165aec262787b6ed521c77a18b4f29cf4"}]}