{"schema_version":"ocme-public-explorer-results-v1","locale":"zh-Hant","filters":{"mko":"mko-clique-and-independent-set","page":"1"},"total":100,"page":1,"page_count":4,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0001","number":19501,"title":{"zh-Hant":"第 19501 題：Clique與獨立集","en":"Question 19501: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"7bd9b560f5658bad4f8204d4cee8e6fa162c453bbef7aba1c3ba82f9c0d9a742","derivation_sha256":"af9db0a1c63ae5137aa4091e159bed304e771655a5f7030d8d75d28ef4146e26"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0002","number":19502,"title":{"zh-Hant":"第 19502 題：Clique與獨立集","en":"Question 19502: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"fe2fbd975e294a2ea04a1e751da2f31c5090684337c1fadb634acf4f3a74455d","derivation_sha256":"57680d14e9a266f41a9f0c7c88ecfaea8437b184530d20dddd07f3fbc8af93ca"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0003","number":19503,"title":{"zh-Hant":"第 19503 題：Clique與獨立集","en":"Question 19503: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e259edab812defb5b05ffd99cb0feab89774afbc76fb54b26c36a262d2ce5bb8","derivation_sha256":"84520f78d76519c2891ef4ae3f47ad6ea4ec0b4c8b68eae6cf0e0698a51a8ea1"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0004","number":19504,"title":{"zh-Hant":"第 19504 題：Clique與獨立集","en":"Question 19504: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"273166648b6d936bf77d287b354b7eaa5c021496f12d401ef5e906bbef2b7fe1","derivation_sha256":"43b4eff8857ba8e5b834d73e54d780c3451275dd3406a60108a6b71c0e52735e"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0005","number":19505,"title":{"zh-Hant":"第 19505 題：Clique與獨立集","en":"Question 19505: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"485ab628ef07803ca96af4a8964bed8af591317f116ef931a09e05716358b71d","derivation_sha256":"7a46b1df86abfc371649a7baf6e75827d07c22c630c4b2caaa123b1e6a6ad9d6"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0006","number":19506,"title":{"zh-Hant":"第 19506 題：Clique與獨立集","en":"Question 19506: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"bc65980239f4a84cc4113e97968ea8cb7089375acae812aae75df1236b85b364","derivation_sha256":"75c1c64ddc185b4b7bcf3efb1d538ddad2b5a1e9a22dca60710e9e374e566bd1"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0007","number":19507,"title":{"zh-Hant":"第 19507 題：Clique與獨立集","en":"Question 19507: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1c76b2b9c478ec5d4d2aa85860122531e786fb63abecc0ce9097db9ad8257258","derivation_sha256":"dd87e9ad411ca85e16b5de0e8f4edd19c7175f389f008f474e66038c30dab941"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0008","number":19508,"title":{"zh-Hant":"第 19508 題：Clique與獨立集","en":"Question 19508: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f04255669ab1cfc0617c5314db01eccfd28ea49bda26a875b2cabad3175407f2","derivation_sha256":"c40d42b2a4fa61654e7c81ddbc60391e6346be4675f63ae8bd28f974a9f34af3"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0009","number":19509,"title":{"zh-Hant":"第 19509 題：Clique與獨立集","en":"Question 19509: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6ef12d72f6bff8b35647809b23bad172a9ab8d1cdb46da7d02a90618e33cb4e6","derivation_sha256":"28593209ca7e12d203bdd108851f2c45e599d98661c5a09ed88c8eb59f8046f4"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0010","number":19510,"title":{"zh-Hant":"第 19510 題：Clique與獨立集","en":"Question 19510: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"08bfba9f4fd38aa622f3b3e2a58f7b2eee88179bbce19f64f2cac96d8623eab5","derivation_sha256":"c5bdd7b63a0ae5ba45747fc6a3c5442b5abd583b353cb1714edd13aee4140f70"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0011","number":19511,"title":{"zh-Hant":"第 19511 題：Clique與獨立集","en":"Question 19511: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d9c97f1f509e5a558200c16a1b214a8d94d9e47c380ebdc98a23617e3b504194","derivation_sha256":"c35a17dc0483d4865fd4045488df3bca914822f5f1eec1a73db83f779342d584"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0012","number":19512,"title":{"zh-Hant":"第 19512 題：Clique與獨立集","en":"Question 19512: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"9b8646311631305bd41a0c6ab3fa934ccacb05812d2bb327ebd97193bd6a7d0e","derivation_sha256":"25a26aa6e5311ab218e2d3740742eeddfbb1a4ded58580e290cb40e66d50d352"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0013","number":19513,"title":{"zh-Hant":"第 19513 題：Clique與獨立集","en":"Question 19513: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"415cef16848f62550c5029ed8d7305aed34ef24a6d0d0afd0b5ef57af51c9db0","derivation_sha256":"d90503986a7ba63f02eaa6463b0dd47976159624dc0618615ee4b4303406ed27"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0014","number":19514,"title":{"zh-Hant":"第 19514 題：Clique與獨立集","en":"Question 19514: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"9193829050e6c106159f7742286fd8ce2a7d498285930daf3ec9dd0a6901d7e1","derivation_sha256":"2281116d6260b5a4123dcdf3d95b539fa38e6d265a9d79e2e02d19e1088ece72"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0015","number":19515,"title":{"zh-Hant":"第 19515 題：Clique與獨立集","en":"Question 19515: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f5101052c282a81953e37cdf08cf9f836610252675b8434331c0833a88b63fbd","derivation_sha256":"9b49220cb33f0c280d2e421014a84d3df86b6049d8895c25f05c3d2439dee2b5"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0016","number":19516,"title":{"zh-Hant":"第 19516 題：Clique與獨立集","en":"Question 19516: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"4dfb571756013b0f07eaa2fd3355088e2d5949e1225133c39267abe10f6e4e95","derivation_sha256":"ec7387f766156f999272cfa93426f4ddd344ccf3f4bf00bed41fd2dc02b2a2ec"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0017","number":19517,"title":{"zh-Hant":"第 19517 題：Clique與獨立集","en":"Question 19517: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f522a179dd194170a4e119c0ef134082e68e5ba3c371ca3b04f9450643278fb4","derivation_sha256":"52a37b16cb6052f94178abec9a2cc7d33fa1b2c90df4ceed8344b3049e750828"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0018","number":19518,"title":{"zh-Hant":"第 19518 題：Clique與獨立集","en":"Question 19518: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"7ec37e04e46ab85f7743f734f96afe6f9ea7953bd3690004abc68194fb4434ea","derivation_sha256":"61a367763ec35d5b76b528919d7e1493b8db30ec3f9eb493eef4bd7d0ed2c5ba"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0019","number":19519,"title":{"zh-Hant":"第 19519 題：Clique與獨立集","en":"Question 19519: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"83adf62650c756c651081c4ee3d8e6da39432090c96052f37405d7c1f6738e7b","derivation_sha256":"097205e9d9d31bccec8dd1a4a4fbc77c70d755ba5ce4d307f36107b470da6365"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0020","number":19520,"title":{"zh-Hant":"第 19520 題：Clique與獨立集","en":"Question 19520: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"9fbc526bb9e5d4dd320c9bd94cc043d650a2054d626afb883fef90bb65c37c67","derivation_sha256":"56d5007bd1c377c4e2ff298cff71d0d143637a48d8b359a69405f94c47c4b4af"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0021","number":19521,"title":{"zh-Hant":"第 19521 題：Clique與獨立集","en":"Question 19521: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"024ffeb1952e830dd23de43f3bf297e6bb8626444582aaebb1dd0cf9236ac8f5","derivation_sha256":"5100394aeaa52c2ddd40128a3dc5b323351501eab8299b181cc94fb0fa421546"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0022","number":19522,"title":{"zh-Hant":"第 19522 題：Clique與獨立集","en":"Question 19522: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"99306d6fcd40af5e3cf1752f786859ccbcc527418c4502aa88c2baad61db3368","derivation_sha256":"f9fd2e2333173fdffdf21ee93cf3d6bc85efefee64d31ec8c96529ad611b3f6b"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0023","number":19523,"title":{"zh-Hant":"第 19523 題：Clique與獨立集","en":"Question 19523: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b2477a9f6b25f0b82a5dc2e2367bf1200c17e9d3240e25ada837f870fef6377a","derivation_sha256":"b2af1046246b3a562c8816b4062611858c0c7556dacea30b3a549eb1297bdcf4"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0024","number":19524,"title":{"zh-Hant":"第 19524 題：Clique與獨立集","en":"Question 19524: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"5c828c81d76b06b272220dfabba7be9b704f16eacb41b1411f1cec4749786c2e","derivation_sha256":"a4d4d56809c9960b3ebb02034d0e50edcd6a4fd674d8b7463de1c5cabfec0535"},{"question_id":"q-20261014-advance-20261106-r02-clique-and-independent-set-0025","number":19525,"title":{"zh-Hant":"第 19525 題：Clique與獨立集","en":"Question 19525: Only a Valid Clique Size Certifies a Clique-Number Lower Bound"},"family_id":"qf-mod37-clique-clique-audit","batch_id":"batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations","mko_ids":["mko-clique-and-independent-set"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c20dd4e1abfac5ca0461464e3b864d89ec5d38eb245d5a2c36f9ee147c817e3f","derivation_sha256":"e3c032c2c204af97c78ced25cfb91df4f66e60ac554791256e4061a4abccd705"}]}