{"schema_version":"ocme-public-explorer-results-v1","locale":"en","filters":{"batch":"batch-20260923-real-number-rational-points","page":"1"},"total":100,"page":1,"page_count":4,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20260923-real-rational-closed-interval-0001","number":34851,"title":{"zh-Hant":"第 34851 題：閉區間中的有理點","en":"Question 34851: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"54e1ca56f4e77498909973fb2e07ec6c3c6116fec85c9c9bcd24402156ca13fd","derivation_sha256":"ed50d8be52c71be0ad5fcedd33343916338380244dc99b43cc2c2f201ddb757a"},{"question_id":"q-20260923-real-rational-closed-interval-0002","number":34852,"title":{"zh-Hant":"第 34852 題：閉區間中的有理點","en":"Question 34852: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0c5d5a7e536a3e6260e5efa88f8bd71a28aadc73b3e7891d1da34b6ba1cdeda5","derivation_sha256":"9fd3206cd4893cdf9aa8f1c79c20165cd09ff35f9183f666a5363cc6e1c90f27"},{"question_id":"q-20260923-real-rational-closed-interval-0003","number":34853,"title":{"zh-Hant":"第 34853 題：閉區間中的有理點","en":"Question 34853: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1c6e1fb804e9843e733b9b30c646ecd2afb5eff70b0f7e50c605d722de189199","derivation_sha256":"a4996f4d8ebb0c565721cba3147bdeae27d9ed15e40c0d63f289d14e2aed3f3e"},{"question_id":"q-20260923-real-rational-closed-interval-0004","number":34854,"title":{"zh-Hant":"第 34854 題：閉區間中的有理點","en":"Question 34854: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"3be315611bf0faf9116d96f293394df8e18640ff28a82637a0a03044bb50dec6","derivation_sha256":"0a6bd265d9a44f5e7908e8119a40ca766e6cdb3e5324c8376f136cbdb53fd226"},{"question_id":"q-20260923-real-rational-closed-interval-0005","number":34855,"title":{"zh-Hant":"第 34855 題：閉區間中的有理點","en":"Question 34855: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"7339ad6d73f8ddd0b1eef2ef13ff13257ca66feba00cb44743393039e0f85ad7","derivation_sha256":"0b7eb6f3724a2f8c220aa6af92689db0f3ce11b1fc05d4fe95af55d6c22a0c90"},{"question_id":"q-20260923-real-rational-closed-interval-0006","number":34856,"title":{"zh-Hant":"第 34856 題：閉區間中的有理點","en":"Question 34856: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"4b23d210ffdf107558325bfead9a4c97458a41b5d51a4fe2385623d011cbd787","derivation_sha256":"aabe8cc0769fb169c0be235cc798773badd7bc66f35a1eb3abbad634d5c0f427"},{"question_id":"q-20260923-real-rational-closed-interval-0007","number":34857,"title":{"zh-Hant":"第 34857 題：閉區間中的有理點","en":"Question 34857: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d5aef5a14332267e300f5eace286f943bc3beff2e5639b52b77002eb7a67eb37","derivation_sha256":"97ca459dadbc595d8a039a21d4d95d91061e33f103ff281ed480852c5c8f03cd"},{"question_id":"q-20260923-real-rational-closed-interval-0008","number":34858,"title":{"zh-Hant":"第 34858 題：閉區間中的有理點","en":"Question 34858: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d7d0cd52fbf9dd21f6e712c92c00b1cb75df9e03cc4d1bcde1013398aa833f6a","derivation_sha256":"447e61e0bf504996674fa352db69fc696547063ebc748e1e92b1844993db298b"},{"question_id":"q-20260923-real-rational-closed-interval-0009","number":34859,"title":{"zh-Hant":"第 34859 題：閉區間中的有理點","en":"Question 34859: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a3759793f7b43a4b83f9e6d07d3848ac23adea85f9f314665a0806783a86eceb","derivation_sha256":"328c58719a6cdb7a3191eca1dbe15c7e8fed62a5bbae76da68042a2707ed8daf"},{"question_id":"q-20260923-real-rational-closed-interval-0010","number":34860,"title":{"zh-Hant":"第 34860 題：閉區間中的有理點","en":"Question 34860: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"137bb7643c6dfe5ba329c12418e9973e956d8dc94a744138374964001ba2a359","derivation_sha256":"4e90de5fda5ccea9514e30ddfbc1f084e217ad641dbc14221c7286c699291148"},{"question_id":"q-20260923-real-rational-closed-interval-0011","number":34861,"title":{"zh-Hant":"第 34861 題：閉區間中的有理點","en":"Question 34861: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"4b0b1c8f0b0e6123bedba465f748a0e54d27dc855ca381a01b8921491fe5736c","derivation_sha256":"c6762a6bf1dcc9edb59da7261dfd53d33fadaf3fe894a6b0fa3732e37c393828"},{"question_id":"q-20260923-real-rational-closed-interval-0012","number":34862,"title":{"zh-Hant":"第 34862 題：閉區間中的有理點","en":"Question 34862: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0d9dc95ca9627a3f9c16c81e3c99d2a15420a3b4d7619928d69d8c238441ada3","derivation_sha256":"383693613c1bbde224068b343afd51150b902a22fdd3ad3031312921fdc839e9"},{"question_id":"q-20260923-real-rational-closed-interval-0013","number":34863,"title":{"zh-Hant":"第 34863 題：閉區間中的有理點","en":"Question 34863: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a0afb81794913e0bb2c44bf9793baf094f8dff6d476e635906f80817404e3772","derivation_sha256":"57197d321a4aaee1f058b0fe7a046aa63fd2af094fe1194afe437f4598fe5d21"},{"question_id":"q-20260923-real-rational-closed-interval-0014","number":34864,"title":{"zh-Hant":"第 34864 題：閉區間中的有理點","en":"Question 34864: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b9eef4d0fe2aea132c5fec62a771f06144df559643c895e1653a546fd7bf23b0","derivation_sha256":"e567a87814719ffcd35640a03b0ef1cf942bb3760e200a6b8625ca80df0558c7"},{"question_id":"q-20260923-real-rational-closed-interval-0015","number":34865,"title":{"zh-Hant":"第 34865 題：閉區間中的有理點","en":"Question 34865: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f5556e38e449adfd96c8eb3bdc4cb797ec68b5fed14302f9c8b7787f22ef1978","derivation_sha256":"bea79bb994ee17085224c35477a93d39c3ed3ee3db9dc6560ef87e37f222f7b4"},{"question_id":"q-20260923-real-rational-closed-interval-0016","number":34866,"title":{"zh-Hant":"第 34866 題：閉區間中的有理點","en":"Question 34866: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"2c2da379813373f44c4a865ae3acd7aef75aec8ad4ec0f8c2f55260314264585","derivation_sha256":"11463d5f9a7fe5a4670365cc9663ea7bcc947892ccafb28abe007948642803c8"},{"question_id":"q-20260923-real-rational-closed-interval-0017","number":34867,"title":{"zh-Hant":"第 34867 題：閉區間中的有理點","en":"Question 34867: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"7ebfed7e5eb1f86787a087428d2cd397aa60f1218bb8e04a1248e8f5904d97d3","derivation_sha256":"d5a2a267ea5093d18630226c9d640da011ee9601dc31b7d6330ace44107c67b2"},{"question_id":"q-20260923-real-rational-closed-interval-0018","number":34868,"title":{"zh-Hant":"第 34868 題：閉區間中的有理點","en":"Question 34868: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b9e245b78ae8cac7b1f7916ae876efe971a5275204db701ba541ed2242b82b80","derivation_sha256":"20c45ca553447639953ea7909a926937e63c521f0d80d0050aa3c948f23a5745"},{"question_id":"q-20260923-real-rational-closed-interval-0019","number":34869,"title":{"zh-Hant":"第 34869 題：閉區間中的有理點","en":"Question 34869: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6f8d569fee6433d6d3f47a898424aefd8c2dab98ae93ac77bcc50f9e03982ee0","derivation_sha256":"2061eff871a522ece15e930b92675459469ead5c804ef13719a7c3cfd63a4fee"},{"question_id":"q-20260923-real-rational-closed-interval-0020","number":34870,"title":{"zh-Hant":"第 34870 題：閉區間中的有理點","en":"Question 34870: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e2343901013fb428d75260f2387dbc070ba4c77326811255185b91e534834f08","derivation_sha256":"df1a71fac3be2838aaf8648620fdbc1f2561b501d568cb288c60eab760d7820a"},{"question_id":"q-20260923-real-rational-closed-interval-0021","number":34871,"title":{"zh-Hant":"第 34871 題：閉區間中的有理點","en":"Question 34871: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c0670742023c43cb2ca2bdc54d4586cf9e4c01d90d1578b7b900372c4e205e9e","derivation_sha256":"8b3d84787a3e1f4ea92379c1485a11086e5d2b840d594be9ea6de109d7492b42"},{"question_id":"q-20260923-real-rational-closed-interval-0022","number":34872,"title":{"zh-Hant":"第 34872 題：閉區間中的有理點","en":"Question 34872: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c7042455d1c73af3e596d621a303fb58dd62f7895fbb01c62926e1eb1f053863","derivation_sha256":"fb575a56d101bad2e8a887dbcd456ab493563be9ae6f9b7859c3fe541e348a5c"},{"question_id":"q-20260923-real-rational-closed-interval-0023","number":34873,"title":{"zh-Hant":"第 34873 題：閉區間中的有理點","en":"Question 34873: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1be94bfa6b1f06ecb08c29ac8dabc2d14ca344b904952baaeab00146443f2bdd","derivation_sha256":"1d8cbdf8258a4426df7ec37d358a79e1d47a5134cd8a80f522c7e3c27addd5b0"},{"question_id":"q-20260923-real-rational-closed-interval-0024","number":34874,"title":{"zh-Hant":"第 34874 題：閉區間中的有理點","en":"Question 34874: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"8bac0b74720cea3740982aeaeaf64c5401b2ddb95d251696f30f6c6851dcc294","derivation_sha256":"7c06538ca7397bd2c047055c0a3e63eb6458fa01608e5bc233cfa6f513022b50"},{"question_id":"q-20260923-real-rational-closed-interval-0025","number":34875,"title":{"zh-Hant":"第 34875 題：閉區間中的有理點","en":"Question 34875: A Rational Point in a Closed Interval"},"family_id":"qf-real-rational-closed-interval","batch_id":"batch-20260923-real-number-rational-points","mko_ids":["mko-real-number"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"dece1e3184d4f14e5e404a12a2dc8dacc8a9574ee3c95035476b1e67084e3e01","derivation_sha256":"056f9691b46c7c6db2d5ee70e8503747fa15fa06c044130873b763c6d7919630"}]}
