{"schema_version":"ocme-public-explorer-results-v1","locale":"zh-Hant","filters":{"mko":"mko-finite-product-topology","page":"3"},"total":100,"page":3,"page_count":4,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0001","number":26751,"title":{"zh-Hant":"第 26751 題：有限乘積拓撲","en":"Question 26751: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c1c6399f2ba0677e8372e671aa489c545876a6d5f43a967773fffe5eabc8faea","derivation_sha256":"51929a6c8fdf9941785f101a38f2779fd1b54e017cd57f3a00a508e392a85324"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0002","number":26752,"title":{"zh-Hant":"第 26752 題：有限乘積拓撲","en":"Question 26752: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"be09c860b9161af9ad946930dcfd54336ef1fde2fa2fd2969a91bf6db0841b9d","derivation_sha256":"449d8aaf07f247bf6efcd3fb50de5963751f354f44d5418022188eabca9684fd"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0003","number":26753,"title":{"zh-Hant":"第 26753 題：有限乘積拓撲","en":"Question 26753: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1ba9599f18f15e913655b296067857c5dde37393fad5d4803b3c2fc360208055","derivation_sha256":"98a08801047ab224571e383611be8c8982671c18fc7b1d918e958f0f0ca2ede9"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0004","number":26754,"title":{"zh-Hant":"第 26754 題：有限乘積拓撲","en":"Question 26754: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"bb920400fcf3c8c99a894bc0520b3bcb7941163e1f6e7ea80efe278cda11454e","derivation_sha256":"c2d535f8e7c67e56d87fc7857a2653237c0c6dae0c3f0146356595b86b698ee4"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0005","number":26755,"title":{"zh-Hant":"第 26755 題：有限乘積拓撲","en":"Question 26755: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"40496733dcd2bb6fcaee010f49903bddefa3a1e7fdd6b00d2830f1a928ea885b","derivation_sha256":"bb873e4d8b2ea8203b6733042da44175d7fd591377aa0ff73a5f48a07660ce3b"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0006","number":26756,"title":{"zh-Hant":"第 26756 題：有限乘積拓撲","en":"Question 26756: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a9d54fe7b71d25ee1a1bc4bbcb66344d023ab8da66da4d8a39b1b27e0095a37d","derivation_sha256":"7a153fde1ff20283198855482dc235c5d9b505645fda471f2107aacb7a69387d"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0007","number":26757,"title":{"zh-Hant":"第 26757 題：有限乘積拓撲","en":"Question 26757: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e2896d1aca6f1d218f4d32d1e3ae73471edb49f7bca53e5988307e47164491d1","derivation_sha256":"7ad3724f1f9f794af6bf075d20640c8440c667b2a9246a8d132f59e055edc0e6"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0008","number":26758,"title":{"zh-Hant":"第 26758 題：有限乘積拓撲","en":"Question 26758: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e65e42b2cda9975604137f07a2fceea5d0e11aaa356a0cf244781be024965d39","derivation_sha256":"9e33f1291bfd08d48a7741ce6257d8a715456bf99129fa4b6f12f33f0b6196a7"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0009","number":26759,"title":{"zh-Hant":"第 26759 題：有限乘積拓撲","en":"Question 26759: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"230d0d81d27ac9c31c17316fcadb284c2c1172083a1ca12eefdb92baa9143138","derivation_sha256":"78cd808b6b3e0b7d40048366c88c1ec8695079ca4cadba3c773805563f0eda99"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0010","number":26760,"title":{"zh-Hant":"第 26760 題：有限乘積拓撲","en":"Question 26760: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"feb3c44862094a5bac76df6f026540c54c4477f3a2ba85e08784a0140381faf5","derivation_sha256":"1157fb8594b5e78206a28d0883db283d242a889273cc38ac8a5485fd12226c2b"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0011","number":26761,"title":{"zh-Hant":"第 26761 題：有限乘積拓撲","en":"Question 26761: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"3519fa2db45e48c88d2da6371ae94c03b7ba12f3570dffc330015fae95c53b35","derivation_sha256":"b2fa444be59116d82591e41a4141be1d299aca7261ebbac887cbeb8d3fe1e4fd"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0012","number":26762,"title":{"zh-Hant":"第 26762 題：有限乘積拓撲","en":"Question 26762: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b827d2bd3affc5209b4302e754aae5860808fcbe4d55b41acfcfc46d8e65d7ef","derivation_sha256":"2d76b3daccee8b1449a94dd8bbf0400ef688f8252e1a4b895465bb81d1c6957b"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0013","number":26763,"title":{"zh-Hant":"第 26763 題：有限乘積拓撲","en":"Question 26763: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d9cb879e732c0815cf0434aca9210b841837d6befc9f715c59b4e89ba8264b5a","derivation_sha256":"2ad59d7f9aa1158e15245cfdb43d51a3e49b0d5dfdaeb5f024f5910ee1e3b7fd"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0014","number":26764,"title":{"zh-Hant":"第 26764 題：有限乘積拓撲","en":"Question 26764: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"5c17e0cba5ef464c48bfe82ae249a69f3c6aef17c38b15937c06319113d4da75","derivation_sha256":"125229ba539fadb08d8460a9b14c38438da645661439222434182bde123c5c09"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0015","number":26765,"title":{"zh-Hant":"第 26765 題：有限乘積拓撲","en":"Question 26765: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e1d98682d9fb05af06b25c35efaaa0764315ea7771610fcbd1c4274f566dceb0","derivation_sha256":"ec7c3df2601c17d4e724ecd90584556d6a2525dd04f71de008f045967eb70cba"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0016","number":26766,"title":{"zh-Hant":"第 26766 題：有限乘積拓撲","en":"Question 26766: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"42c143962f5bebcf1933f818650495f168a190c53ec9ff58d65c9e304d64d41c","derivation_sha256":"472292816fe3820ef6b880cbbeeb7119495557657fabe8851cd8a8734c74ee2c"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0017","number":26767,"title":{"zh-Hant":"第 26767 題：有限乘積拓撲","en":"Question 26767: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"01a24b7ae9671a39a86929f9c233480ca49abcf364f621b8f0e9ccc8f6cff146","derivation_sha256":"a3883e739ec00d7f88df6827d89bf1b0ae3b2d94b0c5375ef8b6dc763d975eab"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0018","number":26768,"title":{"zh-Hant":"第 26768 題：有限乘積拓撲","en":"Question 26768: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"78eb3fd145bb0155839d8a00baaa39fe041938dae3d75066ac5a6e642191efb5","derivation_sha256":"338cdf3213202dea1108c9add04ed793cf6499a984607775e6c0d33e49e81077"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0019","number":26769,"title":{"zh-Hant":"第 26769 題：有限乘積拓撲","en":"Question 26769: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"955b536a27069fd734a1bb7e82a724cd8bc906c4ac50d930c76defe71b464bb1","derivation_sha256":"19e098f0ea604c239515617e81d8957a238069321596d0a6dd0d4297d9d3a3d1"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0020","number":26770,"title":{"zh-Hant":"第 26770 題：有限乘積拓撲","en":"Question 26770: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"edc59af7fae8d93ccf9d0369d7c026c231c362c05922b5a0e709a18eab1021b5","derivation_sha256":"6cd7b77f72c60c73b189a1e9aea976898d933a935dad3ab884ff799d65679164"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0021","number":26771,"title":{"zh-Hant":"第 26771 題：有限乘積拓撲","en":"Question 26771: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"14dec42c8cfc8f060f481d2a45b324bf5e2d12b99b5dcfa35b92092793509249","derivation_sha256":"c90c25dccea2929e510401fded86735e8ded70c2e2120ac4de3c3bbac8472d52"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0022","number":26772,"title":{"zh-Hant":"第 26772 題：有限乘積拓撲","en":"Question 26772: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"87057cfc2d39f9ae4a0de132a2b58cfd72b4c4f52ff3637378834fe099ce208e","derivation_sha256":"d1fecd4ca786d25ab138d081d9e473b66781f41468534cef685855c732c2fdad"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0023","number":26773,"title":{"zh-Hant":"第 26773 題：有限乘積拓撲","en":"Question 26773: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"8e887db2df9db60611b1f9f6374147550b58d284989c31ab1c41305a91ae8f8e","derivation_sha256":"4a892c7a5df15e35bd5842b804e134f31bf7a4b232dc4e17631c0d80f05ad7f1"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0024","number":26774,"title":{"zh-Hant":"第 26774 題：有限乘積拓撲","en":"Question 26774: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c66b97cb3f1235dfee5338c7516df38f653e1bb2d048a8271545a6d76ffe44fc","derivation_sha256":"3cec95ae794656b14c3b3b16121b58d6d4e65fb4587f3e18cec1e9890f5dab8e"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0025","number":26775,"title":{"zh-Hant":"第 26775 題：有限乘積拓撲","en":"Question 26775: The Entire Product Topology Contains Every Union of Basic Rectangles"},"family_id":"qf-mod48-product-rectangle-generation","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b5102dcb7735186003dcf33ec14c1e5b249a558a1d3f6bfac4215c333208f4f3","derivation_sha256":"94e659ec9924923571fc80db2dc515b6cc07aa691fff4f5f48f4fac6fea3b342"}]}