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Pair"},"path":"/data/question-derivations/questions/q-20261007-advance-20261009-r03-function-limit-0042.json","sha256":"91ff70b64af545f071d79bcbb7b8976f4b017c08dd050105ab70156495bf0385","source_question_sha256":"b05597a39b4cd438776562942ce0e08c4ac4df9b51d4abbdc79d354abf61fd87","revision_id":"review-20261026-004-p7"},{"question_id":"q-20261007-advance-20261009-r03-function-limit-0043","number":3918,"pilot_number":"R0006-03918","family_id":"qf-density-limit-center-versus-limit","batch_id":"batch-20261007-advance-20261009-r03-function-limit-foundations","title":{"zh-Hant":"第 3918 題：明示點值與去心極限成對","en":"Question 3918: Ordered Center-Value and Punctured-Limit 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Pair"},"path":"/data/question-derivations/questions/q-20261007-advance-20261009-r03-function-limit-0046.json","sha256":"a82f9745fc6650c95d67e3c36963191f9e01fdcd184a9bebd26c0aa9b1ae72db","source_question_sha256":"09884597a92abd3936941f48401b9a7d064a2ed14dfdcb11a694cac15b511282","revision_id":"review-20261026-004-p7"},{"question_id":"q-20261007-advance-20261009-r03-function-limit-0047","number":3922,"pilot_number":"R0006-03922","family_id":"qf-density-limit-center-versus-limit","batch_id":"batch-20261007-advance-20261009-r03-function-limit-foundations","title":{"zh-Hant":"第 3922 題：明示點值與去心極限成對","en":"Question 3922: Ordered Center-Value and Punctured-Limit 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Magnitude"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r02-integer-0042.json","sha256":"8322a98db153828dd3a6c6e2dcb198d14c8118e7a607dff7709626c47687d38f","source_question_sha256":"0248351c40c9039a47405427b8bf302391e3acd87a70cea69c9b135f0f00cb6d","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r02-integer-0043","number":6193,"pilot_number":"R0011-06193","family_id":"qf-density13-integer-two-step-displacement","batch_id":"batch-20261009-advance-20261013-r02-integer-foundations","title":{"zh-Hant":"第 6193 題：兩步的終點、淨移與步量","en":"Question 6193: Endpoint, Net Displacement, and Step Magnitude"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r02-integer-0043.json","sha256":"e1c7657ee42ea513aad58c0974fac7f7d5ab7b10a3cf3c2df8a333e397f57f55","source_question_sha256":"747d4f1ed5275d39cfc606c42ab8b6cbd3d92fe756663fcaf7a6591b54716db1","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r02-integer-0044","number":6194,"pilot_number":"R0011-06194","family_id":"qf-density13-integer-two-step-displacement","batch_id":"batch-20261009-advance-20261013-r02-integer-foundations","title":{"zh-Hant":"第 6194 題：兩步的終點、淨移與步量","en":"Question 6194: Endpoint, Net Displacement, and Step Magnitude"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r02-integer-0044.json","sha256":"e4d6601524588f67117188454a0feefcb76d2fad4d8fd3383bca503d6745bdff","source_question_sha256":"701a237b6f5ddce4e5bc71b7fdac079e47925e05af985b7395cc1bd60b196b1b","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r02-integer-0045","number":6195,"pilot_number":"R0011-06195","family_id":"qf-density13-integer-two-step-displacement","batch_id":"batch-20261009-advance-20261013-r02-integer-foundations","title":{"zh-Hant":"第 6195 題：兩步的終點、淨移與步量","en":"Question 6195: Endpoint, Net Displacement, and Step 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Magnitude"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r02-integer-0046.json","sha256":"c76dd82473c221fff957c7aec657a05548034dcc62322e239b26faa3a19f1cc7","source_question_sha256":"554699c2800ef65dc4ea6119c2b33493c1fbe19ee7b6b523bf9805edd65669ec","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r02-integer-0047","number":6197,"pilot_number":"R0011-06197","family_id":"qf-density13-integer-two-step-displacement","batch_id":"batch-20261009-advance-20261013-r02-integer-foundations","title":{"zh-Hant":"第 6197 題：兩步的終點、淨移與步量","en":"Question 6197: Endpoint, Net Displacement, and Step 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Magnitude"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r02-integer-0048.json","sha256":"117c9fed4da4454e55f7fe7403daade01386f36e06ca7c9ad9480d3538c58564","source_question_sha256":"b12f982cf311c53a15ff86acf595b6cb701f8f3337d2e88786b2a066debf8ac5","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r02-integer-0049","number":6199,"pilot_number":"R0011-06199","family_id":"qf-density13-integer-two-step-displacement","batch_id":"batch-20261009-advance-20261013-r02-integer-foundations","title":{"zh-Hant":"第 6199 題：兩步的終點、淨移與步量","en":"Question 6199: Endpoint, Net Displacement, and Step Magnitude"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r02-integer-0049.json","sha256":"493bbbaaa0e3cd43fd6340dda01e240edd473225cd8a6ee825cbcb4ced9229dd","source_question_sha256":"60f3b63d523d6a4508002d8ffb5b9e05de26c0a8103f546b1b3461867f326b5a","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r02-integer-0050","number":6200,"pilot_number":"R0011-06200","family_id":"qf-density13-integer-two-step-displacement","batch_id":"batch-20261009-advance-20261013-r02-integer-foundations","title":{"zh-Hant":"第 6200 題：兩步的終點、淨移與步量","en":"Question 6200: Endpoint, Net Displacement, and Step 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Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0078.json","sha256":"44045066461e563ecaeb5876a79fe2b6561f055993efb443462ecbb349ebb8a7","source_question_sha256":"e5be7f10b3f31714fe167da0c197f8d7bd4648b876802780ca31775327449021","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0079","number":6304,"pilot_number":"R0011-06304","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6304 題：候選斜邊的正性與平方殘差","en":"Question 6304: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0079.json","sha256":"ffa814538eed385a093a0712a5c02b267690c54ed94af7d7966df4e8b484c153","source_question_sha256":"f907d5bd205077cbb3181472ae7559d4046b482297c0c7803a90c0d37f685775","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0080","number":6305,"pilot_number":"R0011-06305","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6305 題：候選斜邊的正性與平方殘差","en":"Question 6305: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0080.json","sha256":"55c69853611be3ca476bd3ef4c005691e1d96c9b5c94eb3a8ee8fb542401f331","source_question_sha256":"2e4c4029b272728774cf8b479e5d5e03f500b2213bc1a751c0fabe08f680b3a6","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0081","number":6306,"pilot_number":"R0011-06306","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6306 題：候選斜邊的正性與平方殘差","en":"Question 6306: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0081.json","sha256":"8597e5a634f35f23dc59f9853a3186b787f714739c268f9cb37ad4adb86d591b","source_question_sha256":"d9baabbefc19ff856a9d9ac2900840ac51ed2bdf59603909c66a2f6cafae87c1","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0082","number":6307,"pilot_number":"R0011-06307","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6307 題：候選斜邊的正性與平方殘差","en":"Question 6307: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0082.json","sha256":"ffe0beef9f1f10d3c43e4c54606b677f2243695c39ffb1c70da5a964c811a0ab","source_question_sha256":"5192718a0d8e237a5d7aeb49b1c3d4b71ebbaeda21c26768b4077ca14abb8f81","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0083","number":6308,"pilot_number":"R0011-06308","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6308 題：候選斜邊的正性與平方殘差","en":"Question 6308: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0083.json","sha256":"b487560b202e3322d6e8887fda177edd1054109a7db0e84ad61e858e1304da4a","source_question_sha256":"f24e9625cf014e16bd2bb508c0116c109c0286601ade6ede5e3d0ba918668f02","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0084","number":6309,"pilot_number":"R0011-06309","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6309 題：候選斜邊的正性與平方殘差","en":"Question 6309: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0084.json","sha256":"6ade573956968c7f5624b0719f30c0d59ac93316f59ee713520cd446ab56e2cd","source_question_sha256":"4c22c39796b006c31f51e2a54effdcf4152645c1eb27661cfab083095a1670bb","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0085","number":6310,"pilot_number":"R0011-06310","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6310 題：候選斜邊的正性與平方殘差","en":"Question 6310: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0085.json","sha256":"a0a35113d24e68be9e992f32b5a3e2ef105d3c28932993c42e44cedaff2930c2","source_question_sha256":"e87ce6ffc3c6035ea91ed3be1f55f260f9da26d0ccb044ef315fae4c2114da44","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0086","number":6311,"pilot_number":"R0011-06311","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6311 題：候選斜邊的正性與平方殘差","en":"Question 6311: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0086.json","sha256":"9c4f2da99eea542115d66d56bd6c81036a65edcf6201435dc3df3765cdb179fe","source_question_sha256":"a84526268f1b98e51608d4d30c9b3dee95998df7ee1f2749df33018ef97a3f43","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0087","number":6312,"pilot_number":"R0011-06312","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6312 題：候選斜邊的正性與平方殘差","en":"Question 6312: Hypotenuse Sign and Square 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Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0088.json","sha256":"e92e375fa5380562ec9370751398f385c7b3a43d3719129a39399b238f98a702","source_question_sha256":"f2f4716533c137fa1318b2d5c4da04404ca97fd8e336ddb688631ca456cd7785","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0089","number":6314,"pilot_number":"R0011-06314","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6314 題：候選斜邊的正性與平方殘差","en":"Question 6314: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0089.json","sha256":"a06f0bf44c49afa7f06e3a7e78bf41921185f1b7ad6f6ab62dc55a91c33aceee","source_question_sha256":"5e59395e4f9f737f4713065d24fb3e255d530e703e01da8e829c08ce2b4d1ae8","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0090","number":6315,"pilot_number":"R0011-06315","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6315 題：候選斜邊的正性與平方殘差","en":"Question 6315: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0090.json","sha256":"27fdecac406e51636211997115bd897ab30c423e8ae6ece1c9ad33b357bb416f","source_question_sha256":"8691b44d41be57239d5c6086087b232e31014bc4a8e9080e771124dfc7cfa555","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0091","number":6316,"pilot_number":"R0011-06316","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6316 題：候選斜邊的正性與平方殘差","en":"Question 6316: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0091.json","sha256":"d5f39ba67d48e44956e948f075b8ca858a406a1a4169e3706bb431e0353c350a","source_question_sha256":"3c98445a820d2d672927445df33f931fe4756290d74e1ac0209b42dfc50f0216","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0092","number":6317,"pilot_number":"R0011-06317","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6317 題：候選斜邊的正性與平方殘差","en":"Question 6317: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0092.json","sha256":"66dc567bdaf8483f8262fe85676718fac4b29aee79fcd92aec65a57af42cc2e8","source_question_sha256":"45d2b23e21689ada7a72ccc57d7383dc5416c4365a11861cb24d277c5f741086","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0093","number":6318,"pilot_number":"R0011-06318","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6318 題：候選斜邊的正性與平方殘差","en":"Question 6318: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0093.json","sha256":"6094f8187c017d6ebf326449359fcdf1794543779e072ecd2ee9590b73f00403","source_question_sha256":"5c8e7508b25e6390a1c0ae9fce4634215cd10e3bd0c0ba080d82ad1a29bef39e","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0094","number":6319,"pilot_number":"R0011-06319","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6319 題：候選斜邊的正性與平方殘差","en":"Question 6319: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0094.json","sha256":"2aff59933e1c4f854d22d4b1f1c46e7253da5e0fcd20cc6b7e9cb8edc7da8ecf","source_question_sha256":"1345837fb06eec9f5d4515e23c1e79cbca9d82a52aaa0c833c4c1763db921d41","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0095","number":6320,"pilot_number":"R0011-06320","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6320 題：候選斜邊的正性與平方殘差","en":"Question 6320: Hypotenuse Sign and Square Residual"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r01-pythagorean-theorem-0095.json","sha256":"029f80ddbc1ac1a39cb8cae41c7891d71d66d332a01c9e1ed8fc5f2840beb212","source_question_sha256":"e5d8c70013e5caa1bc175ac7a8065663c7c4947c182a2d802e6d4155f0af71f8","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r01-pythagorean-theorem-0096","number":6321,"pilot_number":"R0011-06321","family_id":"qf-density13-pythagorean-candidate-residual","batch_id":"batch-20261009-advance-20261013-r01-pythagorean-theorem-foundations","title":{"zh-Hant":"第 6321 題：候選斜邊的正性與平方殘差","en":"Question 6321: Hypotenuse Sign and Square 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Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0058.json","sha256":"3a67bcfb02125263717873600400f4689d2930ed0d6fe8a819f3ce613c5afa15","source_question_sha256":"fdd7c3754ee5df9ad6b554a636b31bf170d1689c94d016a0e9941d6da9eb9d3a","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0059","number":6409,"pilot_number":"R0011-06409","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6409 題：有理除法資格與回乘","en":"Question 6409: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0059.json","sha256":"39c4f591857c80cba9588871cbc1f5224f2ee111541ef87c521519543e66d5a2","source_question_sha256":"76831bfa1afb151bc70680830801d3e124fde7086c5500fd97c8f60255a8ff77","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0060","number":6410,"pilot_number":"R0011-06410","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6410 題：有理除法資格與回乘","en":"Question 6410: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0060.json","sha256":"80c6ee837cf7d6e6f598d12ed80cee75f9bc0f16bf24111898c7417d4078729a","source_question_sha256":"96fd03971b09a4ebc11ee5256b39ffeeb5e86e27814ceb4253820905e707967a","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0061","number":6411,"pilot_number":"R0011-06411","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6411 題：有理除法資格與回乘","en":"Question 6411: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0061.json","sha256":"93c331ce830eda523db52b95d883505fea705f732073714536c40543588ce7e4","source_question_sha256":"87a1ca264f1b5c37b7d4fb72b890e3cf8324914e8784d2473dffa5ba60d970c2","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0062","number":6412,"pilot_number":"R0011-06412","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6412 題：有理除法資格與回乘","en":"Question 6412: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0062.json","sha256":"482704e36c4979b112c33bc50d93b4ad1c0a0aa577335df3ff15c064f0833d89","source_question_sha256":"7d441327895554595d53df8a33ab52a2a243f4cd30f49935c339cd15471acb0f","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0063","number":6413,"pilot_number":"R0011-06413","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6413 題：有理除法資格與回乘","en":"Question 6413: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0063.json","sha256":"6203ffe7e6a5004ab336e06ea9745e5c38b2597428f286ea8392c1237485a539","source_question_sha256":"b65487bcb3ae5de2a5cef82b5733d7470cbffd317e71b45c48595469789bd3a8","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0064","number":6414,"pilot_number":"R0011-06414","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6414 題：有理除法資格與回乘","en":"Question 6414: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0064.json","sha256":"a7f0982fe2af02d62cb3a80605370828a273a864218981909738a52f3a7bbcd3","source_question_sha256":"cf834b5d8a10ce0868fb6c50cfc1b27567b0f16c50f96345dd907cc9bbcadd88","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0065","number":6415,"pilot_number":"R0011-06415","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6415 題：有理除法資格與回乘","en":"Question 6415: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0065.json","sha256":"066ae9fb1b1a83d0d43c1ec5ae17f366fb56ccb00ef0141aeb122017ef1152a7","source_question_sha256":"2d9732416ae2fad776d78159a61409e6c18af5b2504403400b8b1b9dd4cc86eb","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0066","number":6416,"pilot_number":"R0011-06416","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6416 題：有理除法資格與回乘","en":"Question 6416: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0066.json","sha256":"a7df9721bf8253dc1a70bf9a640a41af8aa6e97c14d62b2ac058616e56c0056b","source_question_sha256":"1bd97b4550a176b275f2d5b19cd0db205571e18e8c43748ac4afafd707cdcca4","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0067","number":6417,"pilot_number":"R0011-06417","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6417 題：有理除法資格與回乘","en":"Question 6417: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0067.json","sha256":"3af23fd2abd3e43b3531185c986dfba7952b6b1e05d7d31932041952df55d63c","source_question_sha256":"d344b642240ada2eadcb120e18ce675512e81a12f7a66b94942426962fa5b718","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0068","number":6418,"pilot_number":"R0011-06418","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6418 題：有理除法資格與回乘","en":"Question 6418: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0068.json","sha256":"d5c9c3ef7a91f8db99f2b7e7a90f6d24187258f97ae5824698463c5644401f9e","source_question_sha256":"9002b54900d23a2b523a74e5f544b7e2565f7692943929ea2a534798346b96b6","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0069","number":6419,"pilot_number":"R0011-06419","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6419 題：有理除法資格與回乘","en":"Question 6419: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0069.json","sha256":"6f4098edf94467d268439fee97468de1403a5b271d5a74dd04c2bbc3ea617ed2","source_question_sha256":"2305a408f6f5b8cd85f331b8fc51975895d7cd8bf992241aea9af802795827b1","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0070","number":6420,"pilot_number":"R0011-06420","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6420 題：有理除法資格與回乘","en":"Question 6420: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0070.json","sha256":"95dbf3940554dbd1bff607aa78307518785327770705283796f68664852b8771","source_question_sha256":"eb0a517f101fe03ff4ecb9f99af5a9a15dee389a5b159d5e2232f0edf6bf05c1","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0071","number":6421,"pilot_number":"R0011-06421","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6421 題：有理除法資格與回乘","en":"Question 6421: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0071.json","sha256":"0679405ed8201b6046c795a812824f5a3346c156390df4d6e21fca1048dd5ccc","source_question_sha256":"f682899d239210321dee48645f2c6854e4cefd8bbe08d4dbdd9b7b293a51f6a8","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0072","number":6422,"pilot_number":"R0011-06422","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6422 題：有理除法資格與回乘","en":"Question 6422: Rational Division Eligibility and Multiplication Back"},"path":"/data/question-derivations/questions/q-20261009-advance-20261013-r03-rational-number-0072.json","sha256":"41150efc13cc4a454486bed8328fe49e66109f60ec157fc85c550ccae4c3a6a3","source_question_sha256":"dbf6b205289877b9fb14076a1f5f95f476ca5f942c75f3bac5b29acc31d9f3d0","revision_id":"review-20261026-005-p12"},{"question_id":"q-20261009-advance-20261013-r03-rational-number-0073","number":6423,"pilot_number":"R0011-06423","family_id":"qf-density13-rational-division-guard","batch_id":"batch-20261009-advance-20261013-r03-rational-number-foundations","title":{"zh-Hant":"第 6423 題：有理除法資格與回乘","en":"Question 6423: Rational Division Eligibility and Multiplication 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Conflated"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r01-boundary-value-problem-0080.json","sha256":"954ecb0e2a3b66affd48b0861692e434d212cb37b959601a0488ad9a0336e733","source_question_sha256":"35f5a6129bec09b3970cecc129113e809bb74f8d27a513bba23935de3462ee5e","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r01-boundary-value-problem-0081","number":11781,"pilot_number":"R0022-11781","family_id":"qf-mod25-bvp-obligation-separation","batch_id":"batch-20261013-advance-20261025-r01-boundary-value-problem-foundations","title":{"zh-Hant":"第 11781 題：邊界值問題","en":"Question 11781: Interior Pass and Boundary Pass Must Not Be 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Conflated"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r01-boundary-value-problem-0082.json","sha256":"66e765f944948e1e024730760a0e1de5caf18476011015beb86218b3c3100cb1","source_question_sha256":"ba7975830ed78f6b75d222bfe920bff55187c1f5aa4b42fc93a41c9db49fcc13","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r01-boundary-value-problem-0083","number":11783,"pilot_number":"R0022-11783","family_id":"qf-mod25-bvp-obligation-separation","batch_id":"batch-20261013-advance-20261025-r01-boundary-value-problem-foundations","title":{"zh-Hant":"第 11783 題：邊界值問題","en":"Question 11783: Interior Pass and Boundary Pass Must Not Be Conflated"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r01-boundary-value-problem-0083.json","sha256":"3dce0bccb0f6f06d56322b796870eb66f68899ebf6a252cc98f193ff4aee182b","source_question_sha256":"1b1ed6f114a1fef6b2a530a13744ef1cb79deb9c8c7751098f70c3afaa882068","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r01-boundary-value-problem-0084","number":11784,"pilot_number":"R0022-11784","family_id":"qf-mod25-bvp-obligation-separation","batch_id":"batch-20261013-advance-20261025-r01-boundary-value-problem-foundations","title":{"zh-Hant":"第 11784 題：邊界值問題","en":"Question 11784: Interior Pass and Boundary Pass Must Not Be Conflated"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r01-boundary-value-problem-0084.json","sha256":"5ef948f8dca2167b93cb45d72f72891aeec6b4391bcee80250f97a6c48eda421","source_question_sha256":"8f19f862a165278c035553cbc7277b9685c649ebb79f51d61ffec3de5de4cb0f","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r01-boundary-value-problem-0085","number":11785,"pilot_number":"R0022-11785","family_id":"qf-mod25-bvp-obligation-separation","batch_id":"batch-20261013-advance-20261025-r01-boundary-value-problem-foundations","title":{"zh-Hant":"第 11785 題：邊界值問題","en":"Question 11785: Interior Pass and Boundary Pass Must Not Be Conflated"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r01-boundary-value-problem-0085.json","sha256":"931537a03fffad5273fc05126fcbb1be992b7684e0b70180b938e4e1ad9534d8","source_question_sha256":"bb07ca84bf0cb668753331bc7b2c65d4a35994c0d8a205abe93d5144877663b3","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r01-boundary-value-problem-0086","number":11786,"pilot_number":"R0022-11786","family_id":"qf-mod25-bvp-obligation-separation","batch_id":"batch-20261013-advance-20261025-r01-boundary-value-problem-foundations","title":{"zh-Hant":"第 11786 題：邊界值問題","en":"Question 11786: Interior Pass and Boundary Pass Must Not Be Conflated"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r01-boundary-value-problem-0086.json","sha256":"ce924e8e84ef9087d40da4e89b2e7ed2f1ef5810e54a70d3a451f3866fc06458","source_question_sha256":"0056c878a9d248f2810dd7b04a36439ff0254a7829971699415d01936523fc80","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r01-boundary-value-problem-0087","number":11787,"pilot_number":"R0022-11787","family_id":"qf-mod25-bvp-obligation-separation","batch_id":"batch-20261013-advance-20261025-r01-boundary-value-problem-foundations","title":{"zh-Hant":"第 11787 題：邊界值問題","en":"Question 11787: Interior Pass and Boundary Pass Must Not Be Conflated"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r01-boundary-value-problem-0087.json","sha256":"eb26042822824393b849bf26568aecf31bda43862ec16b99181e92405189c046","source_question_sha256":"9feed45d25d51c311b19d3d411cd2bb281c6c73d9b03c586ffb64222687514e1","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r01-boundary-value-problem-0088","number":11788,"pilot_number":"R0022-11788","family_id":"qf-mod25-bvp-obligation-separation","batch_id":"batch-20261013-advance-20261025-r01-boundary-value-problem-foundations","title":{"zh-Hant":"第 11788 題：邊界值問題","en":"Question 11788: Interior Pass and Boundary Pass Must Not Be Conflated"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r01-boundary-value-problem-0088.json","sha256":"47bbb0847c265b96479999cceeff5fde9790be6d37a605cc527342e0eed17fb6","source_question_sha256":"9b6949c6400ccaa23e0441fa350a8a223d5efaee162e5c1e991fc4c950085276","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r01-boundary-value-problem-0089","number":11789,"pilot_number":"R0022-11789","family_id":"qf-mod25-bvp-obligation-separation","batch_id":"batch-20261013-advance-20261025-r01-boundary-value-problem-foundations","title":{"zh-Hant":"第 11789 題：邊界值問題","en":"Question 11789: Interior Pass and Boundary Pass Must Not Be 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Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0031.json","sha256":"95a6b67f74a0b2340d09159f06d0acd15c01c7b60dfda4bde4c0dbd3516cddca","source_question_sha256":"65be5fa7217a19f4394a5d5a2b3a5a125cbb927fd20f36072f16574e4589eef3","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0032","number":11907,"pilot_number":"R0022-11907","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11907 題：凸最佳化問題","en":"Question 11907: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0032.json","sha256":"8f8871a9620a905c17a8466a140cb85f1cd69a045ffbcce4dde22ba37dd32330","source_question_sha256":"3bc079fdf3cb8633756f2984ccbe444de1ff9ccf3566fcfd45912bef6045f6e4","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0033","number":11908,"pilot_number":"R0022-11908","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11908 題：凸最佳化問題","en":"Question 11908: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0033.json","sha256":"2de84501fba6a29371a959b9f63ec35eaa10db09297402fa95e84354e007699a","source_question_sha256":"12c5bfb621b8cc4997f1c99ddf6cd9efbc61aa04e70eb7d3acaeb79f535ef418","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0034","number":11909,"pilot_number":"R0022-11909","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11909 題：凸最佳化問題","en":"Question 11909: Feasibility Alone Supplies No 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Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0035.json","sha256":"599eaa5f4e1b510a2906602042277d355bbab73d230457c8e01e3f72b54329f4","source_question_sha256":"2c7a37276f5ae13503cff745cf1b2bb8c56c0d16be6f4fa6f566b2ebedd9746c","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0036","number":11911,"pilot_number":"R0022-11911","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11911 題：凸最佳化問題","en":"Question 11911: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0036.json","sha256":"9f840a9da43128e1cca496d57fb3582708356f27fe2ab9a33baa969335f20a52","source_question_sha256":"5dbeeff2cf934b22794a39900f92951b5739e84325c50c4a4c14b2a47a6d132d","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0037","number":11912,"pilot_number":"R0022-11912","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11912 題：凸最佳化問題","en":"Question 11912: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0037.json","sha256":"bffb989d53827fa8fe9513873b58392d7b3e74018240ca52b8226aad844e5a7d","source_question_sha256":"43587a64b7682d36d9dfa805043425fc7dd1a58bfc88ece45e307da5f95d05ea","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0038","number":11913,"pilot_number":"R0022-11913","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11913 題：凸最佳化問題","en":"Question 11913: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0038.json","sha256":"9593005f70451aacd5ebbf9fa54288fff738fb8e19ad219402c4497eff0add17","source_question_sha256":"af89ce133bdf56bebfe39e8fc12480f304f2a76ab5c07193eaec792c8fb8d24a","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0039","number":11914,"pilot_number":"R0022-11914","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11914 題：凸最佳化問題","en":"Question 11914: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0039.json","sha256":"d8ec842b584518934627286e9a4cdcbd6d9df1acc34d8e34d8624b41fc9f6c64","source_question_sha256":"fa2e3e4485334b4bf853d801c15f9c71910659c23a78516b5e1c8425a3ed37b0","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0040","number":11915,"pilot_number":"R0022-11915","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11915 題：凸最佳化問題","en":"Question 11915: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0040.json","sha256":"098ebb4bf4d245a2b6a51cfbe395963ca3748c61ed5c9da1fa3c33a4f79ca82e","source_question_sha256":"db23add2755ac849456fe1da29adb050eb9694498b3ac6fce71c250cd22c1235","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0041","number":11916,"pilot_number":"R0022-11916","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11916 題：凸最佳化問題","en":"Question 11916: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0041.json","sha256":"cbee726cd246bc670f29e8d6e47a66160de6622bf243b3ed359b4936be14bad0","source_question_sha256":"107a0e43718847f4c219af407017eca88a146b59aa6e7f0218c7603f0b0b9339","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0042","number":11917,"pilot_number":"R0022-11917","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11917 題：凸最佳化問題","en":"Question 11917: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0042.json","sha256":"49a41b239ffc5cc08d4c7da3af1e0cab52fbe1d721f77c8c77ca4dc281f3b3d6","source_question_sha256":"144f7eb3a8983f891a10348b9b9d72d7dba767c198b67610bd2b882ea230f9cb","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0043","number":11918,"pilot_number":"R0022-11918","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11918 題：凸最佳化問題","en":"Question 11918: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0043.json","sha256":"afbffa92e5db21886cbb7c4edf6f3c8d417ee8c4aa74d31baea05321b0db7118","source_question_sha256":"0e3f9cbcdc5d4c61d83119500e8e17858ca96f055351ea2486813446f51cbc2f","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0044","number":11919,"pilot_number":"R0022-11919","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11919 題：凸最佳化問題","en":"Question 11919: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0044.json","sha256":"8bd2ab029e811301698a189e465574b3cd1942ca0eccb031bc0ca4be77f5fede","source_question_sha256":"f39938b219f52da964d58584fc16898e25233da9e47e405dbd5b2ce63a90f9f1","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0045","number":11920,"pilot_number":"R0022-11920","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11920 題：凸最佳化問題","en":"Question 11920: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0045.json","sha256":"093869a01e7022a933893ba87123cfd0b0b949ac63b337cab186a3cfa5817c22","source_question_sha256":"b3a5adb25e038db09e229c1866cbefcb7966686b4602c856c50c71d641a3fca8","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0046","number":11921,"pilot_number":"R0022-11921","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11921 題：凸最佳化問題","en":"Question 11921: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0046.json","sha256":"f767adb2bed79052be0c0584e8ce17b266a1c16876a15a049f35203ed460e78e","source_question_sha256":"ca86dd0cd7a348ae1471bde0acd8240c871dd2bbbbcf05a3fd18455879ba0408","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0047","number":11922,"pilot_number":"R0022-11922","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11922 題：凸最佳化問題","en":"Question 11922: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0047.json","sha256":"eff1ceea14ebddd08c79f03ccf971bae14186fca634a9fc4abb7862c99c4d57e","source_question_sha256":"1f1bbedcc06d2d48c574b69e654f62fa437d8753fb80535e425b1d274e8735d8","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0048","number":11923,"pilot_number":"R0022-11923","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11923 題：凸最佳化問題","en":"Question 11923: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0048.json","sha256":"a80f1488f446c8877a25ab7a118aae24a56120a6debd9ac9705e3b94492c1c6f","source_question_sha256":"51e8cdbf345be39e3c6f35c09fadab3261779c721c5e53621e651741a1897a6e","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0049","number":11924,"pilot_number":"R0022-11924","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11924 題：凸最佳化問題","en":"Question 11924: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0049.json","sha256":"d1fbe9522d4d3a63557d7a4fbdc20051f99cadb1fae055745d6c878f66f971e0","source_question_sha256":"b070376475add98319e9cff0f56312daaf641303b273972895bee801c74c79a5","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0050","number":11925,"pilot_number":"R0022-11925","family_id":"qf-mod25-convexopt-feasible-point-audit","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11925 題：凸最佳化問題","en":"Question 11925: Feasibility Alone Supplies No Optimum"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0050.json","sha256":"6f7aeaae14987834218cfc7a191e6531638395b28e524d9f004a7f9c01f780b8","source_question_sha256":"5eb976c01d1d3f8836580d8b5b278be43e33fd0794b72b67d417b730bfe1355e","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0051","number":11926,"pilot_number":"R0022-11926","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11926 題：凸最佳化問題","en":"Question 11926: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0051.json","sha256":"d004ae86bad4f3be887bb352e592a2523eb8d63b4efe1fb747131ac387fb3e38","source_question_sha256":"c91cc144f4094c7e971d7a7186d68e3ec2468af714648f6a803553f6dcdb2c9e","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0052","number":11927,"pilot_number":"R0022-11927","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11927 題：凸最佳化問題","en":"Question 11927: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0052.json","sha256":"d273b072382e01e985dd77abd7328dbfd3772ed209ef298d04ef4adcdf7127b6","source_question_sha256":"24c70c22451af8e05ebf215b2c47a3247ea33e48ab3d8c38b0a43fac7319de39","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0053","number":11928,"pilot_number":"R0022-11928","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11928 題：凸最佳化問題","en":"Question 11928: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0053.json","sha256":"175963aac2e8e4299e4e30de289efe1e01e3e81e255156ae6fe373cadc8118ff","source_question_sha256":"133517413d624f4ee04dd6467bc14afbd451080c8be811e2aecfa0676de19aad","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0054","number":11929,"pilot_number":"R0022-11929","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11929 題：凸最佳化問題","en":"Question 11929: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0054.json","sha256":"d9128b249f8dc1832a8741f1554b7cb1f430449c89cefb4bf28c0f945d56adff","source_question_sha256":"bf81427e708819793d73c9358abdf4fedec1f5aea6daacd97182be011aaff19f","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0055","number":11930,"pilot_number":"R0022-11930","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11930 題：凸最佳化問題","en":"Question 11930: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0055.json","sha256":"1b5e7e767037e30d7b5c90e379bd203d58df56f7d2c8e32767471ef589441706","source_question_sha256":"63ad10ecb9a09dba6870fff096d4e9f5d7ceaebbfa0188625afdd76bddd4da72","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0056","number":11931,"pilot_number":"R0022-11931","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11931 題：凸最佳化問題","en":"Question 11931: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0056.json","sha256":"dc1e7a8083f86001f6b36712bc6e79a535b41d432c44e8de5b94d885afb891eb","source_question_sha256":"3d73778f818cc9ccac516a821556a9fc815fd905cb37389e4f5a87434530f27e","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0057","number":11932,"pilot_number":"R0022-11932","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11932 題：凸最佳化問題","en":"Question 11932: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0057.json","sha256":"5a9e9b9419f825c6ab774a6c16bf241b129da8c59ab9bd4cb33223f150ef4fd7","source_question_sha256":"872664b6fba33128e3141d64a343467ac7878b62bb6d80eb86fbd0df10c081d0","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0058","number":11933,"pilot_number":"R0022-11933","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11933 題：凸最佳化問題","en":"Question 11933: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0058.json","sha256":"5a79afd64a9c4213ab713d09b8bf46d74dee12697569015199b05557c330c341","source_question_sha256":"febbdad23295b209dd08a72b372de6cdcf66691844c281166cb28733299f485b","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0059","number":11934,"pilot_number":"R0022-11934","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11934 題：凸最佳化問題","en":"Question 11934: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0059.json","sha256":"12256ef2b44334c9da5d6a591009fd813d4b5023bbec9672d6687fe88b113ec1","source_question_sha256":"6310630b06fb289d3d34f8e201eecbb5a0bb687c888f8db8e5326e8e86e2571f","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0060","number":11935,"pilot_number":"R0022-11935","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11935 題：凸最佳化問題","en":"Question 11935: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0060.json","sha256":"8fdf861dea9c9c48e075b3284a3d99641e97542d4cebc25bc6f2ba4a8d2cc396","source_question_sha256":"965033d88690601927097501459f5123ce05bb345c6b696ed1e52ceb35848982","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0061","number":11936,"pilot_number":"R0022-11936","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11936 題：凸最佳化問題","en":"Question 11936: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0061.json","sha256":"beaeda450e7d616f1628ea45e9669b5596035a335e2549e67469aa6453137e15","source_question_sha256":"ccdd70d1e37849222db1de3ffc0a45cdacb41b7fabb4702df921ddfdc040736c","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0062","number":11937,"pilot_number":"R0022-11937","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11937 題：凸最佳化問題","en":"Question 11937: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0062.json","sha256":"ca31386c1e9754d6569d3fe2329fd39d7adf68b641b3678dd484db705fb7e9a6","source_question_sha256":"649a6b44a55830642422292a2ff1d398c545795787da4b138f4dc105fe523e45","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0063","number":11938,"pilot_number":"R0022-11938","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11938 題：凸最佳化問題","en":"Question 11938: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0063.json","sha256":"43a59f89533490c1dd030c68e613c60780e44f3077675c2d1afa2c7ee3fc383c","source_question_sha256":"af05d52ba9b02919d2fae2b1fcfbd9a864b3a234221175faf70033260d3d19e0","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0064","number":11939,"pilot_number":"R0022-11939","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11939 題：凸最佳化問題","en":"Question 11939: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0064.json","sha256":"1abb377e5622787252fff8df07a0db95e178185724ef6d064f8ddf1726a78eab","source_question_sha256":"6b2ab6a43e00b54ecf0e030a2fa8583c921b26fe412cc1d3dda67d48b3bc6a94","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0065","number":11940,"pilot_number":"R0022-11940","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11940 題：凸最佳化問題","en":"Question 11940: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0065.json","sha256":"5d2f340cf59fa023b3730fb2bcbea4b0f6d3d299ae33bd10baa546339aa83ab9","source_question_sha256":"4a464a970352878b1aab89018bdfe51590aa78ade5607a4637f327a63d353575","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0066","number":11941,"pilot_number":"R0022-11941","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11941 題：凸最佳化問題","en":"Question 11941: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0066.json","sha256":"041e84e5466acf9013844805f6896e571c21a8917c0377179a4559861c7b4d25","source_question_sha256":"222c9d9efe995c780435974563d8664a57c07990562c06fb980896f5f875ef48","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0067","number":11942,"pilot_number":"R0022-11942","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11942 題：凸最佳化問題","en":"Question 11942: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0067.json","sha256":"804a4c902765d7c8f6d74450379b32ccac1e3301803c0880274917deeee27504","source_question_sha256":"8cf94d17b3db0544f5ac79c45bba70ac8d9402f1a3b3098c940912e94808328e","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0068","number":11943,"pilot_number":"R0022-11943","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11943 題：凸最佳化問題","en":"Question 11943: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0068.json","sha256":"d5bc17dcc3b9d06c59486a5aa6ccc8b5065f9e0db230122596bd31248fc54d12","source_question_sha256":"87feeb2205803e03617023f7c98fdb294446ba245de0f99a6ed2f5cd9b0f6f7f","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0069","number":11944,"pilot_number":"R0022-11944","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11944 題：凸最佳化問題","en":"Question 11944: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0069.json","sha256":"4dca06706d2064d9243640461dc8861203da2ac61a2202aa0ed31b6c162b712c","source_question_sha256":"e3c5b4ebba89840d4076f99d16151ac24f1417bbb4ffee6f6e2b559c5f206ce8","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0070","number":11945,"pilot_number":"R0022-11945","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11945 題：凸最佳化問題","en":"Question 11945: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0070.json","sha256":"1eb7f0adc0c35862df31056a08edcf02d44ba78bdc5fa243371f8b1707efda83","source_question_sha256":"ec012e99a80d306ed3f81dc4b15258f4958ab87ca3e295e8fcca8eeebf8e44e5","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0071","number":11946,"pilot_number":"R0022-11946","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11946 題：凸最佳化問題","en":"Question 11946: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0071.json","sha256":"95ac3b09e27db9e91d2e8935c304ea67b5bedc778012cfb6ef503293dca496c0","source_question_sha256":"fcaf6ebd9a75a800778938f11d90260787d4b332da0f174db9bc4e7274a6a7ef","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0072","number":11947,"pilot_number":"R0022-11947","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11947 題：凸最佳化問題","en":"Question 11947: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0072.json","sha256":"b1907c790e0d658a2f0dc570462feca14cba937e855129e3ad5940a86638d613","source_question_sha256":"becc611d154b77389ed6b53ec999b2b794eec1472b8a9758994e0f7b15d30533","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0073","number":11948,"pilot_number":"R0022-11948","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11948 題：凸最佳化問題","en":"Question 11948: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0073.json","sha256":"f5349f434aaa62b4179e05b191a123ec5a18800e0dc6a5e0a265d1c440ffb0d9","source_question_sha256":"8ed61f67a97fc7f5f41352a173a0976f6331aa08785935825a3068dfab332c4f","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0074","number":11949,"pilot_number":"R0022-11949","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11949 題：凸最佳化問題","en":"Question 11949: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0074.json","sha256":"16421d5809cc295c032254ad36f03898531ab8a24b1725e5dc7885f25bf68163","source_question_sha256":"54c5f28746952c1487f6cce71d53295ccd10415d6f75da43af087d8cc7a17f7a","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0075","number":11950,"pilot_number":"R0022-11950","family_id":"qf-mod25-convexopt-objective-at-feasible-point","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11950 題：凸最佳化問題","en":"Question 11950: Evaluate the Polynomial while Separately Reporting Feasibility"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0075.json","sha256":"54800c41b8261e20c91fa4e79ffb5b49aee3a1537e78e33b68fe848b96f9a65f","source_question_sha256":"d48b2c691864f9fd2bc45c99f5944aeb89707eb4a04aa3639fb6b42fdf65a90a","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0076","number":11951,"pilot_number":"R0022-11951","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11951 題：凸最佳化問題","en":"Question 11951: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0076.json","sha256":"1708750c7cf48ca3a9793bd401b87f30ac61b9f9fd326b0c62a2644337f06792","source_question_sha256":"ea3648122dfd14c18cc460d82c4e7ccb781062436f63c55731168a64a7666691","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0077","number":11952,"pilot_number":"R0022-11952","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11952 題：凸最佳化問題","en":"Question 11952: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0077.json","sha256":"52f4b6f1f35abf5bd52e7a193c0224adb4f6331958afa565e064b9c2da5975e1","source_question_sha256":"69e7d8e609f8c9cec12dfeb9c922470ba5aa3f86498e037ab43d96089bd31cfd","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0078","number":11953,"pilot_number":"R0022-11953","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11953 題：凸最佳化問題","en":"Question 11953: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0078.json","sha256":"d8852b9e3f5f8f635c647e0e038cdbde1eecf49413c3f749d774c5e1d87fbfd7","source_question_sha256":"c5c1ad80ed0699bf0a9501b1eb57123cda2fe59ea22b0d1dab207eff08c18a63","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0079","number":11954,"pilot_number":"R0022-11954","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11954 題：凸最佳化問題","en":"Question 11954: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0079.json","sha256":"c5240bdacdaf50820fe4c30e78b2624a33e35099de10ec50d4051440dfff021f","source_question_sha256":"b576190f971f27771acb6a7b2536fea35a05d35f2b5f98559b9b0c926e74e42b","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0080","number":11955,"pilot_number":"R0022-11955","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11955 題：凸最佳化問題","en":"Question 11955: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0080.json","sha256":"c52c303397e7a22c2f6f203cba7f0e980860c51d7b016548d9e333bee2b3c03d","source_question_sha256":"f40a12f25dbd7583125275d39ed4f781bc5edc38d2c2cfdeb8b64cca554510b8","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0081","number":11956,"pilot_number":"R0022-11956","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11956 題：凸最佳化問題","en":"Question 11956: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0081.json","sha256":"d8e344dacf00a1717f8af4ce8cbd2d4531d05e65f4cabef67347c8a26daf00db","source_question_sha256":"93062a4d5d48551e3c7ec3274eba59e470252d6768d668183ad90c0259e30835","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0082","number":11957,"pilot_number":"R0022-11957","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11957 題：凸最佳化問題","en":"Question 11957: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0082.json","sha256":"7683a9e8ccf5cfb024268c01e39e33b0d9f506fea6fc82e337318db73ecc95e7","source_question_sha256":"2bee8d1d1ed50c0bf3ea900b575b5b2db8cf55d87fec82ffd5683092659a57f2","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0083","number":11958,"pilot_number":"R0022-11958","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11958 題：凸最佳化問題","en":"Question 11958: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0083.json","sha256":"4aee12ab4b9792d8cc83afde39ee8636a42578ee5f38e3e4d00f668956fca087","source_question_sha256":"7b0837be5200a0f56d3e17af25c574da0207837aa5022afea2525aafd5020eab","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0084","number":11959,"pilot_number":"R0022-11959","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11959 題：凸最佳化問題","en":"Question 11959: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0084.json","sha256":"86e2bbb8a011d19ee989937edad7146896486f1ab9c8a3be235e7d4764519bb9","source_question_sha256":"3a46c76979be4672958be320b5b37dc1edccf6f9aa3206f64e0939d3c1b5f30e","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0085","number":11960,"pilot_number":"R0022-11960","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11960 題：凸最佳化問題","en":"Question 11960: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0085.json","sha256":"5b0687ddae430531470c2e29190ee08d8d4e9d86c20deceb6dcf63747eb71d47","source_question_sha256":"80878debe6b7845e31459a41e1a52e943d6351cae0c1127ee29dc0fee5b8c888","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0086","number":11961,"pilot_number":"R0022-11961","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11961 題：凸最佳化問題","en":"Question 11961: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0086.json","sha256":"7c62c9c601c0745044733a2b2e145dae69fff835a3d4edbceda7982e310dba1c","source_question_sha256":"4572497b3450fcf79fda61c7fe762d69886bda1936ef4958110815d88599868a","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0087","number":11962,"pilot_number":"R0022-11962","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11962 題：凸最佳化問題","en":"Question 11962: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0087.json","sha256":"3613426407a23b197ce4e8ef0f1ead5459f69fa0ea2ba6eae297ec2e784d01c6","source_question_sha256":"672e3ea9c81b79270dc258d64260f20d7cb5461c34b95103c97b7f4ff5fd7d63","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0088","number":11963,"pilot_number":"R0022-11963","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11963 題：凸最佳化問題","en":"Question 11963: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0088.json","sha256":"d230ad8f71b2c012257423b4f99d9091ca361fd80658bc13e3f0e4a1635e7e32","source_question_sha256":"2719b6de8c288b8d8e68d0abf322857b0064c49940202c5ce8555044c14d3928","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0089","number":11964,"pilot_number":"R0022-11964","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11964 題：凸最佳化問題","en":"Question 11964: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0089.json","sha256":"fe7eaf3d8a87e197aaf6b3f2c6c191f8db5f3f24132245e96b3caf2ecea76f57","source_question_sha256":"ba397318dd5406b5b13ecdf888b83788749115db99af8ee99bb19d762ccada46","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0090","number":11965,"pilot_number":"R0022-11965","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11965 題：凸最佳化問題","en":"Question 11965: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0090.json","sha256":"3e9ac43cbf656892df71bff8dae124eed79b941666fd8fb22db8056f4a6fe858","source_question_sha256":"a41b4e0f5df545fa7a2aee0eae5baafaac476981f55fd38f1f425be78125bc15","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0091","number":11966,"pilot_number":"R0022-11966","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11966 題：凸最佳化問題","en":"Question 11966: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0091.json","sha256":"c1bf16f618e5dd050fbb4a054b7c84973e937ccca71ae034d11c2d0a7e47b2c1","source_question_sha256":"d23d8eab31c3be53e4d06cb88b39647b1c40e8668e57ae0d4fafc2e511489fb8","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0092","number":11967,"pilot_number":"R0022-11967","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11967 題：凸最佳化問題","en":"Question 11967: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0092.json","sha256":"277e55c926dee34d1f3087deeb1d9c926e7ed0564533c5bbf85d7e6148ffb186","source_question_sha256":"69fe6ad2a392b94dd81b937f378e2172d4875f5c14eeeeff3f217bd6591fdc32","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0093","number":11968,"pilot_number":"R0022-11968","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11968 題：凸最佳化問題","en":"Question 11968: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0093.json","sha256":"70e25edfa8e34203d38d069be3d3d7b2f8862df62586e1856bf3af979dce1940","source_question_sha256":"89df9ec580945514d47cb04fdcb1f7b5c44bb5b017687f6763f116bc2f759ba2","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0094","number":11969,"pilot_number":"R0022-11969","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11969 題：凸最佳化問題","en":"Question 11969: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0094.json","sha256":"4799b3921c56714398af06e9d0e2b5f182db0eaaf1521a4e6c033b443b31da21","source_question_sha256":"95dc8a40af78b4165c92ffb903cfc9d714904fc878389dcf817957982095f118","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0095","number":11970,"pilot_number":"R0022-11970","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11970 題：凸最佳化問題","en":"Question 11970: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0095.json","sha256":"a9ba9a7df53590ea0369e94dd91a0d8c9fb4ea8d12d67732e0038f41b3dc66e4","source_question_sha256":"c51c1ff24acd1de76b2e8f037dd4f24ed9f1fe4e33c2ad34f61cd4cf3a09e0c0","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0096","number":11971,"pilot_number":"R0022-11971","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11971 題：凸最佳化問題","en":"Question 11971: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0096.json","sha256":"789423c17191006d680f069a81274913ca7c51ec6b5ad7deea7b7fe0536b76c3","source_question_sha256":"2d936782304ec4ab58e36f02441d14d883d19deece5105626591df8386e329be","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0097","number":11972,"pilot_number":"R0022-11972","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11972 題：凸最佳化問題","en":"Question 11972: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0097.json","sha256":"9d4653263f83a67b4fbff0579dba8517ef021e1b68c2ec44af690a0b104a45ae","source_question_sha256":"4ae66021e8c8f6cb7943a498112f9514a0e29884c4a9c1cc63ec7b806dcda4dd","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0098","number":11973,"pilot_number":"R0022-11973","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11973 題：凸最佳化問題","en":"Question 11973: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0098.json","sha256":"71fa0fa57e4146e3d4fe5087cddb5340710d51968aa9cf4ae7a9fbf7253e3f19","source_question_sha256":"db12fa7ec6e8f6ebc9dc3935784e06e16364a01255b07147056cfbe1de3b6e47","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0099","number":11974,"pilot_number":"R0022-11974","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11974 題：凸最佳化問題","en":"Question 11974: Compare Only Two Eligible Candidates, Not the Whole Problem"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0099.json","sha256":"db7a464ee15d994d9707d43bc6b9eef6e21e0b6f8eaf94fc0a95177c9a3720df","source_question_sha256":"712d0d34fd170bd5772e4b5ff7f2f683d80079a7a67b9beb5656eabfe9148bd8","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0100","number":11975,"pilot_number":"R0022-11975","family_id":"qf-mod25-convexopt-pairwise-feasible-comparison","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11975 題：凸最佳化問題","en":"Question 11975: Compare Only Two Eligible Candidates, Not the Whole 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Qualification"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0001.json","sha256":"906d10bce350b035abff66da2723fb85a51738c233d7135555329c6f05dc59b0","source_question_sha256":"661c4c6beb23e4d0d77783bcb4872298c23851039d1a7f6767bfb5309c920b93","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0002","number":11977,"pilot_number":"R0022-11977","family_id":"qf-mod25-convexopt-problem-qualification","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11977 題：凸最佳化問題","en":"Question 11977: Separate a Quadratic Objective Certificate from Feasible-Interval Qualification"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0002.json","sha256":"944e299ffb912cec59c3704305d80170aad319a89544fc0c49f5eaaef78ce9f5","source_question_sha256":"182cf4135072e7f83e7d6981b201c53ede850ee240af81b6c97894cd37c75510","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0003","number":11978,"pilot_number":"R0022-11978","family_id":"qf-mod25-convexopt-problem-qualification","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11978 題：凸最佳化問題","en":"Question 11978: Separate a Quadratic Objective Certificate from Feasible-Interval Qualification"},"path":"/data/question-derivations/questions/q-20261013-advance-20261025-r03-convex-optimization-problem-0003.json","sha256":"5fad92c3aaa3e12dfad8d294b71f1e1dce1226288e170bd11d9f9518bac4d1e2","source_question_sha256":"625ef78c3da23538df485165a1e9ff687b54bd289db8f38c266ace65178b08a1","revision_id":"review-20261026-006-p23"},{"question_id":"q-20261013-advance-20261025-r03-convex-optimization-problem-0004","number":11979,"pilot_number":"R0022-11979","family_id":"qf-mod25-convexopt-problem-qualification","batch_id":"batch-20261013-advance-20261025-r03-convex-optimization-problem-foundations","title":{"zh-Hant":"第 11979 題：凸最佳化問題","en":"Question 11979: Separate a Quadratic Objective Certificate from Feasible-Interval 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Self-Inner-Product"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r03-inner-product-induced-norm-0019.json","sha256":"9f7344e0527985ce0b199f59914a9c60de10a6df9e0fae93e2903988f102d641","source_question_sha256":"6a3895964df8e931f5317439a464176237fb2f59b0ea4765dc0b4136fddffacd","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r03-inner-product-induced-norm-0020","number":14595,"pilot_number":"R0028-14595","family_id":"qf-mod29-innernorm-square","batch_id":"batch-20261014-advance-20261029-r03-inner-product-induced-norm-foundations","title":{"zh-Hant":"第 14595 題：內積誘導範數","en":"Question 14595: Use the Nonnegative Exact Root of the Same Self-Inner-Product"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r03-inner-product-induced-norm-0020.json","sha256":"5b05084d3ea80489aefba6a2bb889af3d7493d2a00f17020cfe752563ae6415c","source_question_sha256":"8e267cbb124d3c962a55ac80b7874ad71b4e54c1d73ff8509e6b2aa1bd36c009","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r03-inner-product-induced-norm-0021","number":14596,"pilot_number":"R0028-14596","family_id":"qf-mod29-innernorm-square","batch_id":"batch-20261014-advance-20261029-r03-inner-product-induced-norm-foundations","title":{"zh-Hant":"第 14596 題：內積誘導範數","en":"Question 14596: Use the Nonnegative Exact Root of the Same Self-Inner-Product"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r03-inner-product-induced-norm-0021.json","sha256":"13dbf248defcf13cb0215fe198c6aedb7c63104636dc7baee1f61a19a31ce106","source_question_sha256":"80bbdf398d9cc87290975fdbdab84aec7a5eb76706683514930e1971b75ad3aa","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r03-inner-product-induced-norm-0022","number":14597,"pilot_number":"R0028-14597","family_id":"qf-mod29-innernorm-square","batch_id":"batch-20261014-advance-20261029-r03-inner-product-induced-norm-foundations","title":{"zh-Hant":"第 14597 題：內積誘導範數","en":"Question 14597: Use the Nonnegative Exact Root of the Same 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Self-Inner-Product"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r03-inner-product-induced-norm-0023.json","sha256":"419b572b2d3eac5f86f01c1e980ab4523cd6e1c6c49eaa80d8570cc4ee7e23a0","source_question_sha256":"073c0e8ac18998d193ed7a462edc26996aa4a33406b5f71ae755f88460eafa32","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r03-inner-product-induced-norm-0024","number":14599,"pilot_number":"R0028-14599","family_id":"qf-mod29-innernorm-square","batch_id":"batch-20261014-advance-20261029-r03-inner-product-induced-norm-foundations","title":{"zh-Hant":"第 14599 題：內積誘導範數","en":"Question 14599: Use the Nonnegative Exact Root of the Same 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Flag"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r01-finite-integral-domain-0051.json","sha256":"0508d8400af88060433e211e53888e851e3ae830b6c114730b89796fad3de7b5","source_question_sha256":"1d655efe41c87da3a86d1ec32e0d7a3d231b095eeafaa2cd69e2e6fe84a6233d","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r01-finite-integral-domain-0052","number":14602,"pilot_number":"R0028-14602","family_id":"qf-mod29-integraldomain-cancellation","batch_id":"batch-20261014-advance-20261029-r01-finite-integral-domain-foundations","title":{"zh-Hant":"第 14602 題：有限整環","en":"Question 14602: Nonzero Cancellation Has an Implication, Not an Equality Premise Flag"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r01-finite-integral-domain-0052.json","sha256":"e59a8f0ea6deb8bd8cd46b166187566fe60a9d6827f7395f7e34fe0ab0f338a6","source_question_sha256":"bcf929928b182bd0375a308a47bd33eb88c0d7c98b9fb2585b9e97316e82e2b9","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r01-finite-integral-domain-0053","number":14603,"pilot_number":"R0028-14603","family_id":"qf-mod29-integraldomain-cancellation","batch_id":"batch-20261014-advance-20261029-r01-finite-integral-domain-foundations","title":{"zh-Hant":"第 14603 題：有限整環","en":"Question 14603: Nonzero Cancellation Has an Implication, Not an Equality Premise Flag"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r01-finite-integral-domain-0053.json","sha256":"d964e3ae6037fee54dd319c9bf26ec07465fbf0a5ec6b0ed9497096bc3c4c35b","source_question_sha256":"6e8fa24e7333e842484175c7cb1e56a778cdeb287f7a8c98c037289f747b42ac","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r01-finite-integral-domain-0054","number":14604,"pilot_number":"R0028-14604","family_id":"qf-mod29-integraldomain-cancellation","batch_id":"batch-20261014-advance-20261029-r01-finite-integral-domain-foundations","title":{"zh-Hant":"第 14604 題：有限整環","en":"Question 14604: Nonzero Cancellation Has an Implication, Not an Equality Premise Flag"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r01-finite-integral-domain-0054.json","sha256":"68086fd37a17bfb6ced996dcd064485c29d4ec68e127ea72d710bba56551fab7","source_question_sha256":"84cd1cf84a5d317167369d398c354752840d9ad91685f1c9ca262a99e7a7b9e3","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r01-finite-integral-domain-0055","number":14605,"pilot_number":"R0028-14605","family_id":"qf-mod29-integraldomain-cancellation","batch_id":"batch-20261014-advance-20261029-r01-finite-integral-domain-foundations","title":{"zh-Hant":"第 14605 題：有限整環","en":"Question 14605: Nonzero Cancellation Has an Implication, Not an Equality Premise Flag"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r01-finite-integral-domain-0055.json","sha256":"5db9e1575d70351693064e18377c09bd701f809acf3146f1f687794047a7f6d4","source_question_sha256":"011431967e7684e72aed7417119a563868ec5007356a4bebec14d980121fe8ed","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r01-finite-integral-domain-0056","number":14606,"pilot_number":"R0028-14606","family_id":"qf-mod29-integraldomain-cancellation","batch_id":"batch-20261014-advance-20261029-r01-finite-integral-domain-foundations","title":{"zh-Hant":"第 14606 題：有限整環","en":"Question 14606: Nonzero Cancellation Has an Implication, Not an Equality Premise Flag"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r01-finite-integral-domain-0056.json","sha256":"a9968ef7e163de2934d0ed01faeb5cb78879a92bab7262876516b25ea8762590","source_question_sha256":"c920a4e112b2c09717b9bf52bfea0e14586aae3d61db8eeff9cab201d224c6a1","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r01-finite-integral-domain-0057","number":14607,"pilot_number":"R0028-14607","family_id":"qf-mod29-integraldomain-cancellation","batch_id":"batch-20261014-advance-20261029-r01-finite-integral-domain-foundations","title":{"zh-Hant":"第 14607 題：有限整環","en":"Question 14607: Nonzero Cancellation Has an Implication, Not an Equality Premise Flag"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r01-finite-integral-domain-0057.json","sha256":"a9a437bd48192c5636654a9f50c1ca1f3bc3b5a42df0677547048cf3cd297759","source_question_sha256":"cc43adf7de2a516c32b1733b97ec82851518f54740e6a5914c2e8473d996c75f","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r01-finite-integral-domain-0058","number":14608,"pilot_number":"R0028-14608","family_id":"qf-mod29-integraldomain-cancellation","batch_id":"batch-20261014-advance-20261029-r01-finite-integral-domain-foundations","title":{"zh-Hant":"第 14608 題：有限整環","en":"Question 14608: Nonzero Cancellation Has an Implication, Not an Equality Premise Flag"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r01-finite-integral-domain-0058.json","sha256":"5b6a5c7082f247110a5bd7cd01ff895cad1ab9f9b5a30bcdc5cac6626bbec468","source_question_sha256":"156dea458277231d4ffc53be6e387cec65d865b21bc5738ae2bf8e64babcbe55","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r01-finite-integral-domain-0059","number":14609,"pilot_number":"R0028-14609","family_id":"qf-mod29-integraldomain-cancellation","batch_id":"batch-20261014-advance-20261029-r01-finite-integral-domain-foundations","title":{"zh-Hant":"第 14609 題：有限整環","en":"Question 14609: Nonzero Cancellation Has an Implication, Not an Equality Premise Flag"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r01-finite-integral-domain-0059.json","sha256":"806843f2486d2a736717e44df5816e668b9f3706af48655fec4d51a93befa36b","source_question_sha256":"7764cbfaabb7bfff9a81904a52dab898d1140afd63d03b9d46d45d09387dec34","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r01-finite-integral-domain-0060","number":14610,"pilot_number":"R0028-14610","family_id":"qf-mod29-integraldomain-cancellation","batch_id":"batch-20261014-advance-20261029-r01-finite-integral-domain-foundations","title":{"zh-Hant":"第 14610 題：有限整環","en":"Question 14610: Nonzero Cancellation Has an Implication, Not an Equality Premise Flag"},"path":"/data/question-derivations/questions/q-20261014-advance-20261029-r01-finite-integral-domain-0060.json","sha256":"94dddb0d92b046e92416e5808ecbbdb0dd16474ea1637f40897eee75dbb4211d","source_question_sha256":"26052543549f68163c63f08cda985e5a111ebdbfa751a4199e8b6f54ce96c510","revision_id":"review-20261026-007-p29"},{"question_id":"q-20261014-advance-20261029-r01-finite-integral-domain-0061","number":14611,"pilot_number":"R0028-14611","family_id":"qf-mod29-integraldomain-cancellation","batch_id":"batch-20261014-advance-20261029-r01-finite-integral-domain-foundations","title":{"zh-Hant":"第 14611 題：有限整環","en":"Question 14611: Nonzero Cancellation Has an Implication, Not an Equality Premise 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Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0001.json","sha256":"0121f92cc360cdf19f200aed93d89aab593920736bf504f0f72925d2b3dcaf39","source_question_sha256":"69e9e35ef519df11bf01204390d1425a70abe879b890ea0aab18236ac8cacdc8","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0002","number":16627,"pilot_number":"R0032-16627","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16627 題：Euler φ函數","en":"Question 16627: Use Every Representative from 1 through n, Including the n=1 Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0002.json","sha256":"dae58c775f192fd9bed3f7ca47cf5a3d8ec21446b7aa4dd6adb0718567e6cb4c","source_question_sha256":"827c4a25b48a87b22a32ec621c06a16eb5259c1df275745bb319e1bb739f507a","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0003","number":16628,"pilot_number":"R0032-16628","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16628 題：Euler φ函數","en":"Question 16628: Use Every Representative from 1 through n, Including the n=1 Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0003.json","sha256":"7176f534da6524db08ee5405c1a5718213aae81faf598b04c6b83c52c2664ca9","source_question_sha256":"d9fab8bd0a53a2c832d0b65b5c39e478e481b252b52898c8434a197e56e92d2a","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0004","number":16629,"pilot_number":"R0032-16629","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16629 題：Euler φ函數","en":"Question 16629: Use Every Representative from 1 through n, Including the n=1 Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0004.json","sha256":"02693fa10f2343cc3d042e21bde62753c4303cd0f4d5edd41104ec694a84ab23","source_question_sha256":"4f8bdd261eb9cb3a57f2d1e3dc32c4b605f7ac8c34374cc0e50d8a91b2331c50","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0005","number":16630,"pilot_number":"R0032-16630","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16630 題：Euler φ函數","en":"Question 16630: Use Every Representative from 1 through n, Including the n=1 Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0005.json","sha256":"9386f98933e7df223defd791ea7cb5de5a5f586689f2dac088345fc4a3302037","source_question_sha256":"4471b05ebe7f3145c2fa70e08f36619bb172ca7af20640ed41e4e1f5ed9b5482","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0006","number":16631,"pilot_number":"R0032-16631","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16631 題：Euler φ函數","en":"Question 16631: Use Every Representative from 1 through n, Including the n=1 Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0006.json","sha256":"c5450a41299f34cb40e8e2a1706f10a72f277a587ad18caeea029ebb99d66d8b","source_question_sha256":"090926b664b7c284b5d62e60afccf711953d58bf8fca90742b6e386b14bc131b","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0007","number":16632,"pilot_number":"R0032-16632","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16632 題：Euler φ函數","en":"Question 16632: Use Every Representative from 1 through n, Including the n=1 Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0007.json","sha256":"4e76a1bc479d628017eaf118d8e5e89f0beb373014c0b3a950a8942ef17ecdd1","source_question_sha256":"e517b8bc7886423dad9fafee477ff4baf0044e8968265c383f4d764e84b6c67c","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0008","number":16633,"pilot_number":"R0032-16633","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16633 題：Euler φ函數","en":"Question 16633: Use Every Representative from 1 through n, Including the n=1 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Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0009.json","sha256":"33b4a6b34cf5bc9bab9b34a73d66db6185ff2696da1f1c08e44dd2e16f73b9e0","source_question_sha256":"d814a3e339b95e31f485b4b33c15907948ffe6cbaa04899375ad5ef48ef8464a","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0010","number":16635,"pilot_number":"R0032-16635","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16635 題：Euler φ函數","en":"Question 16635: Use Every Representative from 1 through n, Including the n=1 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Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0014.json","sha256":"b2531f3b4531b3736729005e216e71153b5086196e0ac1d029bcb0f8a8c1b2e1","source_question_sha256":"e54a0c4001a4a3831368e30006af929a91628e9d6235ebdf496190b0c35a2e0f","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0015","number":16640,"pilot_number":"R0032-16640","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16640 題：Euler φ函數","en":"Question 16640: Use Every Representative from 1 through n, Including the n=1 Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0015.json","sha256":"57a68be8e243798e84fab4e467729c4dafa4bd32f18b68fa0cf54a3ad3fd3cb2","source_question_sha256":"ec34c35aa8b18ca9deb70aac7df0144e1885af41f912677216fad8dc7f218542","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0016","number":16641,"pilot_number":"R0032-16641","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16641 題：Euler φ函數","en":"Question 16641: Use Every Representative from 1 through n, Including the n=1 Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0016.json","sha256":"56dff00b8424b7acbbc21b942ac730b6ca5f7135bc1e913775a50e4fce543b74","source_question_sha256":"4caf587f743f3239db09ccbeee96d6cbcac7f439db506ff525d1fe5d0e2192de","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0017","number":16642,"pilot_number":"R0032-16642","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16642 題：Euler φ函數","en":"Question 16642: Use Every Representative from 1 through n, Including the n=1 Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0017.json","sha256":"945771536ee28fac2e3ba1d8e321e4bc4311e82e6b0f46131e0f89c9d3f01627","source_question_sha256":"0d2538419ce10fab96fe059ba0155db18b1f7d9c9b34ee42e44288d7eb515c8d","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0018","number":16643,"pilot_number":"R0032-16643","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16643 題：Euler φ函數","en":"Question 16643: Use Every Representative from 1 through n, Including the n=1 Convention"},"path":"/data/question-derivations/questions/q-20261014-advance-20261101-r06-euler-totient-function-0018.json","sha256":"100103094eb45204790d4b6d495534396f279012410b898b7150c44e0c507bfc","source_question_sha256":"adcb096ed037ca12d4b9379e7d8ee4303364ebda2b0195e0f750ad52b0167ad2","revision_id":"review-20261026-007-p33"},{"question_id":"q-20261014-advance-20261101-r06-euler-totient-function-0019","number":16644,"pilot_number":"R0032-16644","family_id":"qf-mod32-totient-coprime-residues","batch_id":"batch-20261014-advance-20261101-r06-euler-totient-function-foundations","title":{"zh-Hant":"第 16644 題：Euler φ函數","en":"Question 16644: Use Every Representative from 1 through n, Including the n=1 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Limit"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0021.json","sha256":"1645fab72440f323b75823676413504e82ee3fada8f1279da89b5512cdb8c7b7","source_question_sha256":"dfecaa9f3d59d3f99c3f9db18110ca0a15650d94ff5b3c3f12f0e525c739ab72","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0022","number":17747,"pilot_number":"R0034-17747","family_id":"qf-mod34-series-partial-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17747 題：無窮級數","en":"Question 17747: A Finite Partial Sum Is Not an Infinite-Series Limit"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0022.json","sha256":"b5ed157a04d6e3aa83a077e5029b4db18a7639dbe65a216ace1a8391caaa28dc","source_question_sha256":"68204f1a141a7c597334cc1727f3c30f0add0c1ddced7dbd3f4152b3418672a2","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0023","number":17748,"pilot_number":"R0034-17748","family_id":"qf-mod34-series-partial-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17748 題：無窮級數","en":"Question 17748: A Finite Partial Sum Is Not an Infinite-Series Limit"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0023.json","sha256":"016f8af845123c8d5a7d187cb3470f5f19a94bd6bdb63d38908b9b09449ff997","source_question_sha256":"0c88d5a73c6b3a19f08566a6d93d8bbc8a476a0c1ea1a634f96ca52e47a39dc2","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0024","number":17749,"pilot_number":"R0034-17749","family_id":"qf-mod34-series-partial-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17749 題：無窮級數","en":"Question 17749: A Finite Partial Sum Is Not an Infinite-Series Limit"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0024.json","sha256":"692c4f55747a0b3eb5bc071dc7e5b90559c8fb934ec9ddc0b02c815b6192163e","source_question_sha256":"bb647629c652680e5041e8bb7a74a9776ebb7dcf968e8674f0eec15d495b1295","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0025","number":17750,"pilot_number":"R0034-17750","family_id":"qf-mod34-series-partial-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17750 題：無窮級數","en":"Question 17750: A Finite Partial Sum Is Not an Infinite-Series Limit"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0025.json","sha256":"2816dd8b02a127267313116f3d37a34559912b2a8a4ffff2407f561bce2ae7e4","source_question_sha256":"ce8ac6ace532970b8b89a57fc79745a90f70703eeb085db564f3c6543c377310","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0051","number":17751,"pilot_number":"R0034-17751","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17751 題：無窮級數","en":"Question 17751: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0051.json","sha256":"c23e506fedddf708a81ce92799ffec704d75a118bf11fa36056dbb85d9d3d9b2","source_question_sha256":"cfee8d0caae66a8f2e4d74b45bce610af6c40003ee8ecd9c618301f7795ae2d3","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0052","number":17752,"pilot_number":"R0034-17752","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17752 題：無窮級數","en":"Question 17752: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0052.json","sha256":"615a00f6fe9b5741e0c32252657d1d2b78278e7b6aba132c072d16862a902dfa","source_question_sha256":"5233ac49efd00313325f1177a2f70ce08e336dd446353a66662358beb908962d","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0053","number":17753,"pilot_number":"R0034-17753","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17753 題：無窮級數","en":"Question 17753: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0053.json","sha256":"6b906e110ce53876ad14c35d92c4cf316e42f8ce57ebd48e1577a78a6d5c2e70","source_question_sha256":"646226343a3328a5cf4d9b277b5e248b5130ec5f1c080928ba3a173c8466de71","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0054","number":17754,"pilot_number":"R0034-17754","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17754 題：無窮級數","en":"Question 17754: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0054.json","sha256":"86e7d7bd9acd814cb21acea9c8a3ab9c28d007c318086e839e5e2b082a099012","source_question_sha256":"a9c597a72091270dbccd255b939b84bbc9724e6cb4079f4b67c364eec3ef58a4","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0055","number":17755,"pilot_number":"R0034-17755","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17755 題：無窮級數","en":"Question 17755: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0055.json","sha256":"bdc45e15408e2f5dfedf4066259a7e92eae0cadc6df99cc127777821505102ee","source_question_sha256":"7f8b6bb3ee837d65771c33e94b9e0ba43e6db6a4894f7b9fecada375549e1794","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0056","number":17756,"pilot_number":"R0034-17756","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17756 題：無窮級數","en":"Question 17756: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0056.json","sha256":"11d5e3748fa2bf3fc65ac19c0434c3ca78ea914b848b3724c301700598a437dd","source_question_sha256":"bd35d00a4a85e025d701bfdef75f48107bb09e9cab8335691d4a0feb6adc63bd","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0057","number":17757,"pilot_number":"R0034-17757","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17757 題：無窮級數","en":"Question 17757: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0057.json","sha256":"e3c88d3d9210b8496a7fda1ad4e4febc305a2814d39adf2b75c46fe47922927a","source_question_sha256":"650ab70f4ee80a169e2737795e5785dc0951cd501bf4cd724b50a112375c25ed","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0058","number":17758,"pilot_number":"R0034-17758","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17758 題：無窮級數","en":"Question 17758: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0058.json","sha256":"c144a1e1ccb7b8fb5fb7cd97cede304de41927d19a98de5efe6b70e5d6697557","source_question_sha256":"9e35e6f132bd35a1798ba4095ae6b45870adfc32af95a1e013da6bbf14772e7e","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0059","number":17759,"pilot_number":"R0034-17759","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17759 題：無窮級數","en":"Question 17759: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0059.json","sha256":"1b6c15346525d88dee66eaf05a6cb7dc50ce406217cdaa0b52db317a3d550ef2","source_question_sha256":"608eeb9ffc4a09fe4835187ef1f3db5177c4b9a6bad215878e048af3be44e0b1","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0060","number":17760,"pilot_number":"R0034-17760","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17760 題：無窮級數","en":"Question 17760: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0060.json","sha256":"cb9b5e8724dc7182fa36b04ac737b084307d635c23c115eedda981a549f0297d","source_question_sha256":"0aafa5f84c3966fdc5ffb48406f77112dbbe87f1a4e374818d445cf70a330d86","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0061","number":17761,"pilot_number":"R0034-17761","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17761 題：無窮級數","en":"Question 17761: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0061.json","sha256":"4e44ac329bd56b79a6ce3e91536dbe092dc51d513dadf8a967c0bd2121941de2","source_question_sha256":"ef11622375e8a06846ef8aaaa6cd1c204de316fc7fdd8dd2cccd73964552ebc0","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0062","number":17762,"pilot_number":"R0034-17762","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17762 題：無窮級數","en":"Question 17762: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0062.json","sha256":"6f6d8ccf2731553f8f63287dc98e5a85d98d4cc2142d948441511b223bccdf20","source_question_sha256":"c9607681fce56c9a3757a5c9d0e6c756274dd0385bca2a6fe9702905d5f1d3e2","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0063","number":17763,"pilot_number":"R0034-17763","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17763 題：無窮級數","en":"Question 17763: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0063.json","sha256":"67f5a29a6875ecd1a167f3b48fb444d4ae598f692b1f0172a0be34f9d8f7f246","source_question_sha256":"d327215aec9281a684b8ca4c64f80c3422255533d99fd594f0036a6fb156d9f2","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0064","number":17764,"pilot_number":"R0034-17764","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17764 題：無窮級數","en":"Question 17764: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0064.json","sha256":"52110dc1a3b720eb460337cba74b4500730d3b10d7fd0124742e41ba161762ca","source_question_sha256":"1c5b26d98a3287e15a7c6d0d8d05a5f8080747eb799810104bc8eef6f5d7b6bc","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0065","number":17765,"pilot_number":"R0034-17765","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17765 題：無窮級數","en":"Question 17765: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0065.json","sha256":"a0569a7d560f1274afc313a42cd1cef0b1ac31928a31668ad8fbf3d4ac779b80","source_question_sha256":"eb08be13d334c15dbf4d08bda64365bc1b8315bddb7b18e4c0856386f5dbc6ff","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0066","number":17766,"pilot_number":"R0034-17766","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17766 題：無窮級數","en":"Question 17766: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0066.json","sha256":"1cb7a1a29f04c4659f28b270aa0c0d16b4ef0c22357060e64bdd2d553f183782","source_question_sha256":"c35f415ca45e3bf1245b3b336fe6c5caeae5fae9fec0810f80955683657098ac","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0067","number":17767,"pilot_number":"R0034-17767","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17767 題：無窮級數","en":"Question 17767: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0067.json","sha256":"fce4ae5342a9e407daa47ce9c3475e7dc340c26118405b670a3b90a3de452f1f","source_question_sha256":"a5987efd6e07ece66398ed375e3657003e4e59a30ee9b4fcd03640179377bbc8","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0068","number":17768,"pilot_number":"R0034-17768","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17768 題：無窮級數","en":"Question 17768: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0068.json","sha256":"c22115c633b1369db2b4dd15d59264165ea79187e4c5f122b3906b23ca00ada0","source_question_sha256":"1dc091f10549be0a4472dda6ee1628713ee28a94e787d5b05c1e844a0cc56e82","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0069","number":17769,"pilot_number":"R0034-17769","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17769 題：無窮級數","en":"Question 17769: Retain Both the Telescoping Remainder and the Source Ratio Text"},"path":"/data/question-derivations/questions/q-20261014-advance-20261103-r03-infinite-series-0069.json","sha256":"82a814f4b505b4683cc18d639be1cbe9391e1edcbc68b3ae1f1013fc514d3eb2","source_question_sha256":"6cb4af4a7e22d9b27865507ed7e5aa6804ef46dee3cac195413600adc1bb871e","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261103-r03-infinite-series-0070","number":17770,"pilot_number":"R0034-17770","family_id":"qf-mod34-series-telescoping-sum","batch_id":"batch-20261014-advance-20261103-r03-infinite-series-foundations","title":{"zh-Hant":"第 17770 題：無窮級數","en":"Question 17770: Retain Both the Telescoping Remainder and the Source Ratio 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Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0026.json","sha256":"945f1816612095e410c15064832d63dbcdfd2f51a0da4817bd8aa8cdace2f01b","source_question_sha256":"ecedbfe32b719e7bf4f6c8879ea0ebcc2855e7bf6913cf7e8188996cd8f3d241","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0027","number":17927,"pilot_number":"R0034-17927","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17927 題：絕對收斂","en":"Question 17927: Conditional Convergence Needs Both Convergence and Absolute 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Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0028.json","sha256":"73b8648b2e86f79d498dbe1059dfb8efc60ec48d4f7fad4e9da8af477861c3c8","source_question_sha256":"3666fd6a8508555a5bd8b9233d7b281e8ef7b5912542f94a9b68d2aefd26d648","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0029","number":17929,"pilot_number":"R0034-17929","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17929 題：絕對收斂","en":"Question 17929: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0029.json","sha256":"ed88e2b8a3e52c4ca11335a33a1aaad004ab6a033f537fc89b51d5e134e93ded","source_question_sha256":"63d351f56d9f5c02b9522b271b12802b9bc01aa949eaa8a5082efb2d6826a736","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0030","number":17930,"pilot_number":"R0034-17930","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17930 題：絕對收斂","en":"Question 17930: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0030.json","sha256":"ef652d166ddc19a66b45092e5eb01606e2c76c6b043ac30053acf96431833fd6","source_question_sha256":"769174f583cb40adab34fe55845df3c9e0eb103ddbb5113007b0079cfe02c04a","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0031","number":17931,"pilot_number":"R0034-17931","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17931 題：絕對收斂","en":"Question 17931: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0031.json","sha256":"b994101f9b5c3f60b8790a523cb610dd799fb332a48f5686ec1c5a4fdd5a2f3c","source_question_sha256":"3f188817fc0578228bd4f98f5cd6705fb3b7d1c33eaec6962e952d9791878694","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0032","number":17932,"pilot_number":"R0034-17932","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17932 題：絕對收斂","en":"Question 17932: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0032.json","sha256":"83905616a437d8ac5a699d1b1b6bd6e2a07b3613fe4fa2abe1ab7a98cb8ddbef","source_question_sha256":"73834f872890c08a83835f33e9e4cb29e57eec6a41f97a8efb435f176eb08685","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0033","number":17933,"pilot_number":"R0034-17933","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17933 題：絕對收斂","en":"Question 17933: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0033.json","sha256":"7dd4ebe13d3745b0d09b19683508fa2883a36d0f075c14c55ae74552d79db2bc","source_question_sha256":"671273651f65d6d4e1ffda302070670bd84775dc7eb9ea1e355b771600efb899","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0034","number":17934,"pilot_number":"R0034-17934","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17934 題：絕對收斂","en":"Question 17934: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0034.json","sha256":"f2b417cf3660ce82965cd115ee44dc90d02c2f4bd34af78e092887d42d5c4795","source_question_sha256":"67d322b89b52769ac1a100b199b9fdc3e508a1d8c811c38fd24218e7892af09b","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0035","number":17935,"pilot_number":"R0034-17935","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17935 題：絕對收斂","en":"Question 17935: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0035.json","sha256":"4655936f294566df7b8e4406ee80e726dca373fc6fc87ab02fc22f2fb86f0298","source_question_sha256":"26e02556489d1fdad5719e180dd84b000babcc2488253d4b7fef0cedd568ef96","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0036","number":17936,"pilot_number":"R0034-17936","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17936 題：絕對收斂","en":"Question 17936: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0036.json","sha256":"dcb3d6edaf6b9b10a42bea405d30936b3a3ce40b1e3b0b24d7e827bee5446004","source_question_sha256":"9413ce704ea014e67134c08eb0e4c47ee3d3f3161a0043599e8a6312e29095fc","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0037","number":17937,"pilot_number":"R0034-17937","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17937 題：絕對收斂","en":"Question 17937: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0037.json","sha256":"82800c9efb337406bfa8df92c1ee94cfef186cf34a754d78c34ecfefcf4600eb","source_question_sha256":"39a94650546562b7e4e639ad05f52f1980ea82eb520915d72601a26baf5b8c55","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0038","number":17938,"pilot_number":"R0034-17938","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17938 題：絕對收斂","en":"Question 17938: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0038.json","sha256":"5986d127adce1950c58835c906b3b1fd9ebd5e64457592089df9f7d0d6844626","source_question_sha256":"803725ae7ec880a4c899b1fbee4cab52c7101fe334201379f025e98038fba138","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0039","number":17939,"pilot_number":"R0034-17939","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17939 題：絕對收斂","en":"Question 17939: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0039.json","sha256":"d2d8f5b5e98f5cf831f347ae78fdba95b97bfa0f4dab5cc4db2a036131d83fdb","source_question_sha256":"6968464f1f69109d8d0400d9022c8938bd6789f38b90cb0a3ad8ba1226ccd0ea","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0040","number":17940,"pilot_number":"R0034-17940","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17940 題：絕對收斂","en":"Question 17940: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0040.json","sha256":"0178f0fb42a3c33bcaf401fc903a10319998f95ae8fa00b2a1a09e00cb015d1a","source_question_sha256":"07f47063bf02e2a3303c5b7ec77791ab8f922525e16881b9033bf8a297845e11","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0041","number":17941,"pilot_number":"R0034-17941","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17941 題：絕對收斂","en":"Question 17941: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0041.json","sha256":"d1f2a72add7271d9ed57b635b745aa0381be3f3e23a18e4671356f44ddf189de","source_question_sha256":"0e64ff89e44979b61e7cd83f820e6c81456858e6115ff76a33799b8e980ed52d","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0042","number":17942,"pilot_number":"R0034-17942","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17942 題：絕對收斂","en":"Question 17942: Conditional Convergence Needs Both Convergence and Absolute Divergence"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r03-absolute-convergence-of-series-0042.json","sha256":"f2541921200f9abe6cd163c8b593f6efae40e69ebe9fac039ed2e21770f98eb6","source_question_sha256":"fcaa078e2ac75df903405f53cefbdae87dd218735a51068bfe3b2a72b5d14a3d","revision_id":"review-20261026-008-p35"},{"question_id":"q-20261014-advance-20261104-r03-absolute-convergence-of-series-0043","number":17943,"pilot_number":"R0034-17943","family_id":"qf-mod35-absseries-conditional-alternating","batch_id":"batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations","title":{"zh-Hant":"第 17943 題：絕對收斂","en":"Question 17943: Conditional Convergence Needs Both Convergence and Absolute 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Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0079.json","sha256":"f641cf3eb7807dd47d4e8b5e33f0124584e242b3ef4919215e97ba6b1bb9b084","source_question_sha256":"8b326d623e974cfcc079688684be840101c8c9703891233c06a82b9440a1db84","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0080","number":18005,"pilot_number":"R0035-18005","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18005 題：中國剩餘定理","en":"Question 18005: A Noncoprime System Can Be Compatible or Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0080.json","sha256":"ab5969771a4830776fae4f9e1b3ee58e962e282f28c4be42f509df45f977f842","source_question_sha256":"a2c247f2ef57bc97af90f867093599aa54da1eb404392d2fbfadf70c7eec4bd5","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0081","number":18006,"pilot_number":"R0035-18006","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18006 題：中國剩餘定理","en":"Question 18006: A Noncoprime System Can Be Compatible or Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0081.json","sha256":"53b785b9becde824418c9b56e4166611ab1d51d8363add7cde6ed109542a8d27","source_question_sha256":"91296f103d1245e2d26c9f8094919281f1532fcb31108a0e976de9407cfbaa71","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0082","number":18007,"pilot_number":"R0035-18007","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18007 題：中國剩餘定理","en":"Question 18007: A Noncoprime System Can Be Compatible or Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0082.json","sha256":"ad5fe6e1f679f3f3d6eb9816d126caee99ec1af7e08079819447bcbcd1f009d3","source_question_sha256":"ab4115fed973a77e207fbd64e0852100f51b290fb3c2c2ad058a904ad3f35264","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0083","number":18008,"pilot_number":"R0035-18008","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18008 題：中國剩餘定理","en":"Question 18008: A Noncoprime System Can Be Compatible or Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0083.json","sha256":"220b04bf578abc6a7e4a92812112e8875a0cca0ee0a1cbf075f3d90710d30435","source_question_sha256":"7bfea98f4079cee983d103babb4353509537ef5163a0a27031c21d894fbdd7ae","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0084","number":18009,"pilot_number":"R0035-18009","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18009 題：中國剩餘定理","en":"Question 18009: A Noncoprime System Can Be Compatible or Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0084.json","sha256":"21da861da3343912c42e1cbc16ea7ab566bf65c9e850a3074ba33dc17595f960","source_question_sha256":"a4b00877c8a038f9e426ffc539dab1d2e63eacf6ec44d74052d9366eaf86ff95","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0085","number":18010,"pilot_number":"R0035-18010","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18010 題：中國剩餘定理","en":"Question 18010: A Noncoprime System Can Be Compatible or Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0085.json","sha256":"056f2461c6b91df7c20af84d5a3cad0209660a21c5569617ecbc35cadb496ff1","source_question_sha256":"cda944122df2d4b7508fc5732e2eea8e5ebf562a7d09baed6eaba720e94fd76b","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0086","number":18011,"pilot_number":"R0035-18011","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18011 題：中國剩餘定理","en":"Question 18011: A Noncoprime System Can Be Compatible or Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0086.json","sha256":"91d67f6d34c18c5c6008f305bf518143400b66c6bae021f55a93e340234c02ca","source_question_sha256":"149cc8648f3280847a0a2a65ca00138134ecd7082ef20f32d55563eb0a08daf0","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0087","number":18012,"pilot_number":"R0035-18012","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18012 題：中國剩餘定理","en":"Question 18012: A Noncoprime System Can Be Compatible or Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0087.json","sha256":"fbb5d0ce7a53feee4d4fe8bc1854b50a425c62d151086a217ce60c67c1a7998d","source_question_sha256":"cc776880b60766975bec3af041c9b0dc08ea0d786b74120e8b327a5fdc6bb38e","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0088","number":18013,"pilot_number":"R0035-18013","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18013 題：中國剩餘定理","en":"Question 18013: A Noncoprime System Can Be Compatible or Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0088.json","sha256":"1d58cf6be5b065b8f767ae7ac9d5402a1c30a8b54e45f41f97eebe28cfc05b70","source_question_sha256":"b444bbe2d8c249fe2c195fb1e9ebdce4cf4bac26067579df15ba48ffa997909e","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0089","number":18014,"pilot_number":"R0035-18014","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18014 題：中國剩餘定理","en":"Question 18014: A Noncoprime System Can Be Compatible or 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Incompatible"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r05-chinese-remainder-theorem-0090.json","sha256":"f8582a0bf26e6059ff4fb80aa0af27d3dcc423d14e0272bb9e9d2aad90857e7d","source_question_sha256":"5091c9bb9c3c51c54d219185f3fd34eeaae50f180fde3cdf55e5ff0164fce7e7","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r05-chinese-remainder-theorem-0091","number":18016,"pilot_number":"R0035-18016","family_id":"qf-mod35-crt-noncoprime-boundary","batch_id":"batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations","title":{"zh-Hant":"第 18016 題：中國剩餘定理","en":"Question 18016: A Noncoprime System Can Be Compatible or 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Number"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r07-lp-convergence-0037.json","sha256":"d1a6c56d9bec57d4bace0a4f2d0b6b69ca6cee991cfcd065ce871a9e760db87f","source_question_sha256":"b13a5124a1dc966296ddf15bf292d19fd476bac3d4087f10869a0819f9672a08","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r07-lp-convergence-0038","number":18213,"pilot_number":"R0035-18213","family_id":"qf-mod35-lp-epsilon-witness","batch_id":"batch-20261014-advance-20261104-r07-lp-convergence-foundations","title":{"zh-Hant":"第 18213 題：Lp收斂","en":"Question 18213: Epsilon Bounds the Moment, Not the p-th-Root Norm by the Same Number"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r07-lp-convergence-0038.json","sha256":"40a69a118a2e9f4855d083aa82627ce6b917dd297c7b17263fa32b9e040c4ff0","source_question_sha256":"4f5aa7ecc4545049c41d8072fb350a06e15cfc1ba78e545671c9d89bfabb26bc","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r07-lp-convergence-0039","number":18214,"pilot_number":"R0035-18214","family_id":"qf-mod35-lp-epsilon-witness","batch_id":"batch-20261014-advance-20261104-r07-lp-convergence-foundations","title":{"zh-Hant":"第 18214 題：Lp收斂","en":"Question 18214: Epsilon Bounds the Moment, Not the p-th-Root Norm by the Same 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Number"},"path":"/data/question-derivations/questions/q-20261014-advance-20261104-r07-lp-convergence-0041.json","sha256":"d9905d7bb8186d5ca7e4c7f0fa5a6fcc5688c39b4d2068bef123bedbd9c01c23","source_question_sha256":"0414be617fd21c8d32fbabdd3ccd898b741664f536373925bf3885f7b65adfa5","revision_id":"review-20261026-008-p36"},{"question_id":"q-20261014-advance-20261104-r07-lp-convergence-0042","number":18217,"pilot_number":"R0035-18217","family_id":"qf-mod35-lp-epsilon-witness","batch_id":"batch-20261014-advance-20261104-r07-lp-convergence-foundations","title":{"zh-Hant":"第 18217 題：Lp收斂","en":"Question 18217: Epsilon Bounds the Moment, Not the p-th-Root Norm by the Same 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Chain"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r02-higher-order-derivative-0001.json","sha256":"ba195a0c24eb39ecf372639b6487044472adc44af493d900fd0fd45acc4ab877","source_question_sha256":"1b94351548db7e92bdce63983c9baabc1d3f03891f86c9353c225e7f25200872","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0002","number":23027,"pilot_number":"R0045-23027","family_id":"qf-mod42-higher-order-qualification","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","title":{"zh-Hant":"第 23027 題：高階導數","en":"Question 23027: Order Zero Is the Original Function; Later Orders Need the Recursive Chain"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r02-higher-order-derivative-0002.json","sha256":"2fbcb882c9b6fcbda57207daa01fe6de981e2ecd2d4682553247c2f7aba12950","source_question_sha256":"9c37d95495fc75fc0bfe06fa499b10f1b9be1e2024d0773601e511c3e1df4bb8","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0003","number":23028,"pilot_number":"R0045-23028","family_id":"qf-mod42-higher-order-qualification","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","title":{"zh-Hant":"第 23028 題：高階導數","en":"Question 23028: Order Zero Is the Original Function; Later Orders Need the Recursive 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Chain"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r02-higher-order-derivative-0009.json","sha256":"34841c002639e4be64b28e5441a862b3b4bede05e02b9456cb46c3ddf8ad91dc","source_question_sha256":"770fbc209d43f593085c7dc3db9dd2de7655e8b7068325db29e46a30c16f1d4c","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0010","number":23035,"pilot_number":"R0045-23035","family_id":"qf-mod42-higher-order-qualification","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","title":{"zh-Hant":"第 23035 題：高階導數","en":"Question 23035: Order Zero Is the Original Function; Later Orders Need the Recursive Chain"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r02-higher-order-derivative-0010.json","sha256":"a2af1ff9fb67160b4444edd5dd1c94ad93e38f4b8c9a249e7c32015505377805","source_question_sha256":"77ad952797776f4cdd2db0d7c08d9f3b1075ff94bb08b6c3d158ae54c394b2e8","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0011","number":23036,"pilot_number":"R0045-23036","family_id":"qf-mod42-higher-order-qualification","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","title":{"zh-Hant":"第 23036 題：高階導數","en":"Question 23036: Order Zero Is the Original Function; Later Orders Need the Recursive 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Chain"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r02-higher-order-derivative-0012.json","sha256":"2be7092cd4854302f5148f5a498223c6f43353345546c392d4988bab08b27eda","source_question_sha256":"c08acaaa6d27b70fab1ada4cb48889c6b0caab3eb5ba757c25664eafa940ccf8","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0013","number":23038,"pilot_number":"R0045-23038","family_id":"qf-mod42-higher-order-qualification","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","title":{"zh-Hant":"第 23038 題：高階導數","en":"Question 23038: Order Zero Is the Original Function; Later Orders Need the Recursive Chain"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r02-higher-order-derivative-0013.json","sha256":"741009fe5e4b0e86b9b8b2227422de424bc9bc42e54e8b7b59b4867cff085c1a","source_question_sha256":"e7c1437c9905060da3d4188c0e154ae6326d3bd53c11e43ab53eb6e915bcad1d","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0014","number":23039,"pilot_number":"R0045-23039","family_id":"qf-mod42-higher-order-qualification","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","title":{"zh-Hant":"第 23039 題：高階導數","en":"Question 23039: Order Zero Is the Original Function; Later Orders Need the Recursive 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Multivalued"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0016.json","sha256":"737018e6e738d5bc8d1c33391518d6a16d876e37e164c1c7bb94cff5cd94fca1","source_question_sha256":"77d66b5625713de9058c95a985bbbbfd6b1e0f4ab109f591cd91c64f6f2a6e30","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0017","number":23292,"pilot_number":"R0045-23292","family_id":"qf-mod42-nfa-qualification","batch_id":"batch-20261014-advance-20261111-r07-nondeterministic-finite-automaton-foundations","title":{"zh-Hant":"第 23292 題：非確定有限自動機","en":"Question 23292: An Epsilon-NFA Relation May Be Empty, Partial or Multivalued"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0017.json","sha256":"164090aa1d551f50f1ae40667a3ee7c2ff49a90f6e415883d51556920dd57d2b","source_question_sha256":"3ae839d4c2662d35c0530a69ac09d6db4c58328086d6c4483f3530dd84cd5b44","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0018","number":23293,"pilot_number":"R0045-23293","family_id":"qf-mod42-nfa-qualification","batch_id":"batch-20261014-advance-20261111-r07-nondeterministic-finite-automaton-foundations","title":{"zh-Hant":"第 23293 題：非確定有限自動機","en":"Question 23293: An Epsilon-NFA Relation May Be Empty, Partial or 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Multivalued"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0020.json","sha256":"d88c103609e328a8e3c04f5b3d748a4a3d23b6e6d8fe484c348a8720ff8151fc","source_question_sha256":"888247f607f38b8e9346576c34ff2c43949bd0041a0df3aa14793301eca4cc8d","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0021","number":23296,"pilot_number":"R0045-23296","family_id":"qf-mod42-nfa-qualification","batch_id":"batch-20261014-advance-20261111-r07-nondeterministic-finite-automaton-foundations","title":{"zh-Hant":"第 23296 題：非確定有限自動機","en":"Question 23296: An Epsilon-NFA Relation May Be Empty, Partial or 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Multivalued"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0022.json","sha256":"fc41c8bdd31251c178c8a79ddb3eab0106ee64a7466839f1bed1aa0735d64e03","source_question_sha256":"aa3f462fd1641d9d443789b0d9f53ce80d999cc17639c0dc4f7e5864be39fe79","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0023","number":23298,"pilot_number":"R0045-23298","family_id":"qf-mod42-nfa-qualification","batch_id":"batch-20261014-advance-20261111-r07-nondeterministic-finite-automaton-foundations","title":{"zh-Hant":"第 23298 題：非確定有限自動機","en":"Question 23298: An Epsilon-NFA Relation May Be Empty, Partial or Multivalued"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0023.json","sha256":"225d287f54a4cbd32a2edf23828574c0a5d84ccdfbdf52bc153080046741fb23","source_question_sha256":"97045c3ff2c3dcb7f979a63a99079e14f203796edf8448514710a4f9fc57dd22","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0024","number":23299,"pilot_number":"R0045-23299","family_id":"qf-mod42-nfa-qualification","batch_id":"batch-20261014-advance-20261111-r07-nondeterministic-finite-automaton-foundations","title":{"zh-Hant":"第 23299 題：非確定有限自動機","en":"Question 23299: An Epsilon-NFA Relation May Be Empty, Partial or 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Multivalued"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r07-nondeterministic-finite-automaton-0025.json","sha256":"835115ab5dccf2c240b3d864985735abfbe181633bdb4411d69c8ad79f094e32","source_question_sha256":"5f6c341ef41a6a5c5befedc3f3919797a3707d4551b432917361add55dba90a3","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0076","number":23301,"pilot_number":"R0045-23301","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23301 題：二次剩餘","en":"Question 23301: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0076.json","sha256":"283cf78bd91e3f611ae52ed0891e470c778ee2d0efbf4f6892a94f295030adf3","source_question_sha256":"46c6ab13904af88162a10e532336b3d983c75eb0772e869414ef8b6c4840daa7","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0077","number":23302,"pilot_number":"R0045-23302","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23302 題：二次剩餘","en":"Question 23302: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0077.json","sha256":"978ce187d52a5d8f7b3e1d67a896e0b74c6e71ce662553b0cb5384a3dc9024e1","source_question_sha256":"5302f9b2dcbd8bd1009e2b02976cbc31abad79890f2a4ed479232e1ad65e77ee","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0078","number":23303,"pilot_number":"R0045-23303","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23303 題：二次剩餘","en":"Question 23303: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0078.json","sha256":"d3183a0f230ec9e1b0605d3c08226b007188fdd952d0f35179502a293da2102d","source_question_sha256":"85b6a4bf67b6f3915f1a2cfb795ed51453dd31ab80c77b90bd79c5386bc79958","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0079","number":23304,"pilot_number":"R0045-23304","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23304 題：二次剩餘","en":"Question 23304: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0079.json","sha256":"041050a1f9be6307fb97c0c998545f249ed17fba897d73dcc3ae006b7be6710c","source_question_sha256":"c9ff70dfc4ffe1021f5f3039cf5306843bd4c1025f388ddcd0c2909917184968","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0080","number":23305,"pilot_number":"R0045-23305","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23305 題：二次剩餘","en":"Question 23305: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0080.json","sha256":"6441e619160680274f65261a28bb6c3f42b0d35a46a50bd5b0c9e2582b1d0190","source_question_sha256":"e6bb8d7e73865f90f8309c55f4a480c7dcf43a98388fa98ed7c24ce5e5c0c351","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0081","number":23306,"pilot_number":"R0045-23306","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23306 題：二次剩餘","en":"Question 23306: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0081.json","sha256":"101045f7c4b0564f1871eee3ef97933b49a23de2f3e1259d89dbb09e758a2492","source_question_sha256":"209e2357f519e9b1a69afc4b81e038efe779aba4a16a3952380fb8809a55e1eb","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0082","number":23307,"pilot_number":"R0045-23307","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23307 題：二次剩餘","en":"Question 23307: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0082.json","sha256":"a7c84114dd20a419c4a9ca0a510b9d684958c431ff41cac1c5d889f0a7de78bb","source_question_sha256":"ccee2f6bb9c70f60795ecb3dcae6a75c1f3b88bd50404de6011a77dc4dca2ae6","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0083","number":23308,"pilot_number":"R0045-23308","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23308 題：二次剩餘","en":"Question 23308: Zero, Modulus Two and Composite Moduli Need Separate 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Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0084.json","sha256":"7e86885b8cd85ccee501628abceb5557e5f54725ff945cf6ed46111248753c8b","source_question_sha256":"f625537aa83c73a65b98737208418f424d560aa8b9c1ca43b9e1e1798d907d4b","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0085","number":23310,"pilot_number":"R0045-23310","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23310 題：二次剩餘","en":"Question 23310: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0085.json","sha256":"2f8328724e187d26e7897b89339686f7b631b13ca356beae19ab487456b66e4d","source_question_sha256":"f4e6c23cf5cc7621e45b4eebb325a3c83eb685bd07a30338e796c6b34072331f","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0086","number":23311,"pilot_number":"R0045-23311","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23311 題：二次剩餘","en":"Question 23311: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0086.json","sha256":"9c682c3653c962f045f041b262bd5a0c01b7f7e4a98465b4f37d48b7a5dcb4aa","source_question_sha256":"3afc5545f2912168b1557816acbe03697b32d00e57633e19f8ce756b389d459b","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0087","number":23312,"pilot_number":"R0045-23312","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23312 題：二次剩餘","en":"Question 23312: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0087.json","sha256":"92068b04c3145fdff12e58863a6472cf00dd61a07f3d272ac033a7b4c89333a0","source_question_sha256":"57517bf3796d038f38aa4152855317e889990bd3f1ea9538cfc0d3668b64e85f","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0088","number":23313,"pilot_number":"R0045-23313","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23313 題：二次剩餘","en":"Question 23313: Zero, Modulus Two and Composite Moduli Need Separate Conventions"},"path":"/data/question-derivations/questions/q-20261014-advance-20261111-r06-quadratic-residue-0088.json","sha256":"761f0b935b8c48f6c2bd6c2c60b0e024d9a062485095cca05303f69122552049","source_question_sha256":"968507af95355ef35d5677509e257a9802351981a8e9776af2d6048c1beb8f0b","revision_id":"review-20261026-009-p46"},{"question_id":"q-20261014-advance-20261111-r06-quadratic-residue-0089","number":23314,"pilot_number":"R0045-23314","family_id":"qf-mod42-quadratic-domain-boundary","batch_id":"batch-20261014-advance-20261111-r06-quadratic-residue-foundations","title":{"zh-Hant":"第 23314 題：二次剩餘","en":"Question 23314: Zero, Modulus Two and Composite Moduli Need Separate 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Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0081.json","sha256":"2ee976c5da8df9c4bf17224a3fc33746e1a3eff36bdb89ef6fec6f5668e0d2cd","source_question_sha256":"0d6ad10e3f8171ffffcf0ec9eadbb8f47b77b40d8c4a9543d6c9c3d6c491141e","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0082","number":24107,"pilot_number":"R0047-24107","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24107 題：Euler二次剩餘判準","en":"Question 24107: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0082.json","sha256":"7b0c68952392e149d39443c52191ab7468dbb4850086f73053a4b4993e2e4d7d","source_question_sha256":"a2baa5a0ffc34d739ef56e54102f668f89ab929f66e28a264f3389514b5d679a","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0083","number":24108,"pilot_number":"R0047-24108","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24108 題：Euler二次剩餘判準","en":"Question 24108: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0083.json","sha256":"934214a6fe28f07fac97dbfb37fadea78372d529669f083fa58e40b01254c70a","source_question_sha256":"3fda9fba7912d466ee1d985e1abe1f86ccb7c322d49bc9b520d99a034b30a5a6","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0084","number":24109,"pilot_number":"R0047-24109","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24109 題：Euler二次剩餘判準","en":"Question 24109: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0084.json","sha256":"257b9d7a38f93574259949fae2bb32e31bb32f2bb6af52fb076a7b9686cd5aa6","source_question_sha256":"ea110cc37b5091fa55737aa9bfbaa1ff081db998e4594c03c0ea09fd7226da1c","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0085","number":24110,"pilot_number":"R0047-24110","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24110 題：Euler二次剩餘判準","en":"Question 24110: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0085.json","sha256":"27897abd940d0c6f5661fc28012d087c099789ec68331651f30544bf011eaefb","source_question_sha256":"6570578bb868a0cc97304f6eef92393ec97cd6348062dc7afe4425729d5a66b5","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0086","number":24111,"pilot_number":"R0047-24111","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24111 題：Euler二次剩餘判準","en":"Question 24111: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0086.json","sha256":"231a0cd2ec9aa390de36895fc0f4c0852143fc8b78336f4136402f44f158a52e","source_question_sha256":"17b5e7bebb9b598bd1473050d7ba238e6401183b07138b877fab3ef0c8ea8c88","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0087","number":24112,"pilot_number":"R0047-24112","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24112 題：Euler二次剩餘判準","en":"Question 24112: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0087.json","sha256":"2fbdbc9a16d02d4db1ce68036d18560b468256ac8ea3fed2da515b723b5d1324","source_question_sha256":"249d2369f2d295dcd7217664617af21d32602828f8ca5859215ac070fb6260d3","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0088","number":24113,"pilot_number":"R0047-24113","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24113 題：Euler二次剩餘判準","en":"Question 24113: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0088.json","sha256":"9585090988db0e968772d08e615ddad32a221d745a79ad28b089f65d10f68b01","source_question_sha256":"ce8cbad7d6e13a6a6de3d5daf5b714300e16f2cc046beee716a2973c78b5417c","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0089","number":24114,"pilot_number":"R0047-24114","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24114 題：Euler二次剩餘判準","en":"Question 24114: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0089.json","sha256":"3cf0cbccf8ac472b77e32275433ecd213863efb6f20f7bb7bdcc3f1c674d5817","source_question_sha256":"b56756bedd8f07f2a951cb784bf16b5e35211b6b2dac07afd99d5e2715c1ca82","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0090","number":24115,"pilot_number":"R0047-24115","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24115 題：Euler二次剩餘判準","en":"Question 24115: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0090.json","sha256":"aac465e8c9d1098abc179b8077769d2c10757ab38ee66a417c8df6cc579dff2a","source_question_sha256":"cfeea8b22c5cabd21d7473e9313b888c247c3a762608bea789ad03b7aea055ec","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0091","number":24116,"pilot_number":"R0047-24116","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24116 題：Euler二次剩餘判準","en":"Question 24116: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0091.json","sha256":"0ce87ec6d6eb47ad0ad9edb5b3fbf92cc6cf1de63c04aa8c3e365aebbbd2c8b9","source_question_sha256":"a349949ce3785800cbc942700a6aa4367e4a452254b53956f32a24fe33439ec5","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0092","number":24117,"pilot_number":"R0047-24117","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24117 題：Euler二次剩餘判準","en":"Question 24117: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0092.json","sha256":"1122c7b549ffbbf939d52ba976866513efc81733cc6c8b35ba2430bddb88bcfb","source_question_sha256":"116fe577f4e8d2b543bf02703e288bdcbd0d82ee099f25cb5032cac8b6d45eab","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0093","number":24118,"pilot_number":"R0047-24118","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24118 題：Euler二次剩餘判準","en":"Question 24118: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0093.json","sha256":"cfd1f22c9644c51eb8069c1901c2e9329ff529bfa4b7962c6ddea7ab6c6b3e16","source_question_sha256":"8dd4e64e554294c1549d7f98ed3b542041509cd5c326e88b5c9cac4a7aa8a211","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0094","number":24119,"pilot_number":"R0047-24119","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24119 題：Euler二次剩餘判準","en":"Question 24119: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0094.json","sha256":"65836562c68dd0983d7ae90d9e665f08465f1567c7dddb660eb87a02c20c6a92","source_question_sha256":"cf50a3619c01c59df16ec87bac9f74c3e3887e9bbdab7748e507c30440e984a6","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0095","number":24120,"pilot_number":"R0047-24120","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24120 題：Euler二次剩餘判準","en":"Question 24120: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0095.json","sha256":"18e3da1eb74b03215c8a533fd19d915985099e7e0e78589956bcd1e6f521fd72","source_question_sha256":"87bf73fc89d1424838b9e9223d3bb75c2c4cf204dc59f04239b5dfd308fa7f6b","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0096","number":24121,"pilot_number":"R0047-24121","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24121 題：Euler二次剩餘判準","en":"Question 24121: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0096.json","sha256":"075700022cea7fdc685a8ec029f9ba47e9af76384e002a7383043a8ecc2a0efc","source_question_sha256":"e0113f7302fe8a6302179a6c00dd33afee2592bb8b382e7a9463a2ec8ccb2694","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0097","number":24122,"pilot_number":"R0047-24122","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24122 題：Euler二次剩餘判準","en":"Question 24122: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0097.json","sha256":"641bf50e1539d459f966f04fd546b11bf7d1f76b46486d912840b3948a7e9fd6","source_question_sha256":"30c4efe1c2f3c1049ff785b0b32078992758002de495505bf71766b9493baece","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0098","number":24123,"pilot_number":"R0047-24123","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24123 題：Euler二次剩餘判準","en":"Question 24123: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0098.json","sha256":"7eb4ef04623e61bcd3d5a5fffb63e16f799f25f5fbf611c67c4b1ac92c0a7462","source_question_sha256":"6c74ff2eca425c0a9b7ddab9ff496848bbf5f1c89a7abc1d78860d1ff68f1bb6","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0099","number":24124,"pilot_number":"R0047-24124","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24124 題：Euler二次剩餘判準","en":"Question 24124: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0099.json","sha256":"53ca0abe6eeae71e393c1032cb87c3055c8427eaf6244d91a8db1fd9209e93cf","source_question_sha256":"cf4e00a13d7c92b08716b1001fd9b23bfea6c34e2e19ee2c3f9d0e6600706b23","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0100","number":24125,"pilot_number":"R0047-24125","family_id":"qf-mod44-eulercrit-domain-boundary","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24125 題：Euler二次剩餘判準","en":"Question 24125: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0100.json","sha256":"80b10df1618425d4eff141eab4a2188d16ccc884bf2e376d198faa3cc44ae98e","source_question_sha256":"bac759dff90c8235bc55dc5eba139e6a717ab85ff826c7f7ed169621765be786","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0001","number":24126,"pilot_number":"R0047-24126","family_id":"qf-mod44-eulercrit-domain-qualification","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24126 題：Euler二次剩餘判準","en":"Question 24126: Qualify Odd Primality and the Normalized Nonzero Class 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Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0057.json","sha256":"56417b7c571756bd91c0d6708f286591df780e53ac2dae4f27e959e5f4c7c13d","source_question_sha256":"e684c15d7c516a6b0e8e0b8f074760e36b5f4ef61a4b37ddcc2f9de0de440b84","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0058","number":24183,"pilot_number":"R0047-24183","family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24183 題：Euler二次剩餘判準","en":"Question 24183: Residues Give Plus One and Nonresidues Minus One under the Qualified 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Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0061.json","sha256":"3a18dd6f94ec612154e89d3ed15195750725517a9ff8b4778b312e6d3839c594","source_question_sha256":"7687e5005d3ec89b2b5a4ea0e00d584eff388d54bf10b23e3a14219485d1a70c","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0062","number":24187,"pilot_number":"R0047-24187","family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24187 題：Euler二次剩餘判準","en":"Question 24187: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"path":"/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0062.json","sha256":"8074020effa31b7a0defb225f7d28cbeaeceb9124101f5411ad5a1049e1c20fc","source_question_sha256":"1e69d2a90ca93fe095f5aa3182c9213626c9ba3b3b25d160c977f562aa8ea207","revision_id":"review-20261026-009-p48"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0063","number":24188,"pilot_number":"R0047-24188","family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","title":{"zh-Hant":"第 24188 題：Euler二次剩餘判準","en":"Question 24188: Residues Give Plus One and Nonresidues Minus One under the Qualified 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Row"},"path":"/data/question-derivations/questions/q-20261015-advance-20261114-r05-estimator-mean-squared-error-0066.json","sha256":"89f08c3f1fe13fc307d0761d315452ddb16506a65c400a7b5cb3220db33f22f8","source_question_sha256":"fa911bf58e33ce778551758c451e52fab9d0f036b420d2eedf2f2010c6c926a8","revision_id":"review-20261026-010-p50"},{"question_id":"q-20261015-advance-20261114-r05-estimator-mean-squared-error-0067","number":25192,"pilot_number":"R0049-25192","family_id":"qf-mod45-mse-zero-iff-almost-sure","batch_id":"batch-20261015-advance-20261114-r05-estimator-mean-squared-error-foundations","title":{"zh-Hant":"第 25192 題：估計量均方誤差","en":"Question 25192: Zero MSE Means Equality to Theta Almost Surely, Not at Every Zero-Mass 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Row"},"path":"/data/question-derivations/questions/q-20261015-advance-20261114-r05-estimator-mean-squared-error-0068.json","sha256":"79d799a74ebbe5ae6ccddf6c9d9dc351885be7d1dd97f0220b4911c005571632","source_question_sha256":"c8786178878ae4a8eb136412670fdcfa82746e2dbe6ce3d66d9e1d78e77a788d","revision_id":"review-20261026-010-p50"},{"question_id":"q-20261015-advance-20261114-r05-estimator-mean-squared-error-0069","number":25194,"pilot_number":"R0049-25194","family_id":"qf-mod45-mse-zero-iff-almost-sure","batch_id":"batch-20261015-advance-20261114-r05-estimator-mean-squared-error-foundations","title":{"zh-Hant":"第 25194 題：估計量均方誤差","en":"Question 25194: Zero MSE Means Equality to Theta Almost Surely, Not at Every Zero-Mass Row"},"path":"/data/question-derivations/questions/q-20261015-advance-20261114-r05-estimator-mean-squared-error-0069.json","sha256":"ccb936fbe086744f210c70c40ee4ef04cec7028137dcde2f8d9d90e3427f2344","source_question_sha256":"5ce06feaab6de457c1899ed369c973f9f8d1d5cd50f1aa5e93f0b875d11ffb03","revision_id":"review-20261026-010-p50"},{"question_id":"q-20261015-advance-20261114-r05-estimator-mean-squared-error-0070","number":25195,"pilot_number":"R0049-25195","family_id":"qf-mod45-mse-zero-iff-almost-sure","batch_id":"batch-20261015-advance-20261114-r05-estimator-mean-squared-error-foundations","title":{"zh-Hant":"第 25195 題：估計量均方誤差","en":"Question 25195: Zero MSE Means Equality to Theta Almost Surely, Not at Every Zero-Mass Row"},"path":"/data/question-derivations/questions/q-20261015-advance-20261114-r05-estimator-mean-squared-error-0070.json","sha256":"89e9bbdb6ecfe3e35620a7ec47d38034ad8e3570f03eb5af20287d64cc0313c4","source_question_sha256":"8b8356e9410e5580efca2fe92707d5334572028f84726f327424689193e2355b","revision_id":"review-20261026-010-p50"},{"question_id":"q-20261015-advance-20261114-r05-estimator-mean-squared-error-0071","number":25196,"pilot_number":"R0049-25196","family_id":"qf-mod45-mse-zero-iff-almost-sure","batch_id":"batch-20261015-advance-20261114-r05-estimator-mean-squared-error-foundations","title":{"zh-Hant":"第 25196 題：估計量均方誤差","en":"Question 25196: Zero MSE Means Equality to Theta Almost Surely, Not at Every Zero-Mass Row"},"path":"/data/question-derivations/questions/q-20261015-advance-20261114-r05-estimator-mean-squared-error-0071.json","sha256":"f723237cfe7870730405bcda3a7814abe84b2c3058640de0604eba1ac69f6c8d","source_question_sha256":"f3adaad0c8726ac9b2c8ee1a61139c8ae0151eacb1510decd8185974b57f1296","revision_id":"review-20261026-010-p50"},{"question_id":"q-20261015-advance-20261114-r05-estimator-mean-squared-error-0072","number":25197,"pilot_number":"R0049-25197","family_id":"qf-mod45-mse-zero-iff-almost-sure","batch_id":"batch-20261015-advance-20261114-r05-estimator-mean-squared-error-foundations","title":{"zh-Hant":"第 25197 題：估計量均方誤差","en":"Question 25197: Zero MSE Means Equality to Theta Almost Surely, Not at Every Zero-Mass Row"},"path":"/data/question-derivations/questions/q-20261015-advance-20261114-r05-estimator-mean-squared-error-0072.json","sha256":"9b69fcd0c4270cb89d74e887982d921d54c24bc27d52c845e13247df032aba2d","source_question_sha256":"4a3f004730bdc899bda14ea972f35f91cd8cfc44fdd34b7010e4d6c02d790470","revision_id":"review-20261026-010-p50"},{"question_id":"q-20261015-advance-20261114-r05-estimator-mean-squared-error-0073","number":25198,"pilot_number":"R0049-25198","family_id":"qf-mod45-mse-zero-iff-almost-sure","batch_id":"batch-20261015-advance-20261114-r05-estimator-mean-squared-error-foundations","title":{"zh-Hant":"第 25198 題：估計量均方誤差","en":"Question 25198: Zero MSE Means Equality to Theta Almost Surely, Not at Every Zero-Mass 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Row"},"path":"/data/question-derivations/questions/q-20261015-advance-20261114-r05-estimator-mean-squared-error-0074.json","sha256":"ee8cf7e9d9b805d9467bdb732eacf4ece48ae1bd62a38979ba2c196e0a99bfb1","source_question_sha256":"788519aeafecba87604573e34de98f67747e91a709d7ba3922c498d10908e31d","revision_id":"review-20261026-010-p50"},{"question_id":"q-20261015-advance-20261114-r05-estimator-mean-squared-error-0075","number":25200,"pilot_number":"R0049-25200","family_id":"qf-mod45-mse-zero-iff-almost-sure","batch_id":"batch-20261015-advance-20261114-r05-estimator-mean-squared-error-foundations","title":{"zh-Hant":"第 25200 題：估計量均方誤差","en":"Question 25200: Zero MSE Means Equality to Theta Almost Surely, Not at Every Zero-Mass 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Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0078.json","sha256":"30549977d25f433dd097615c711c977588007cc8b218f19d8ed2a2992dcecb4e","source_question_sha256":"8faf8f48626f992fc427156438b9f3294767d96acc8bffc5d765f4f683bcc4bf","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0079","number":27404,"pilot_number":"R0053-27404","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27404 題：整數p進賦值","en":"Question 27404: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0079.json","sha256":"4fe4ed5bc1d4e1abd9c625780f048335e23ca248b438db84deee88d7d774f8fe","source_question_sha256":"995ac5ab3c5c888638ec44d84b6f400048ef30908da19fb27c11379d9ea1a949","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0080","number":27405,"pilot_number":"R0053-27405","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27405 題：整數p進賦值","en":"Question 27405: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0080.json","sha256":"10605bb772325f149e9f62d7ea7a32a8785e3465786a6d0cee499a9f5d1240d5","source_question_sha256":"36a3fa3db85864243d6799bbfb2f72a04d0460bdd702e2dcabf1b00147117427","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0081","number":27406,"pilot_number":"R0053-27406","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27406 題：整數p進賦值","en":"Question 27406: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0081.json","sha256":"e7f568d115c3d1a77dc01826b7fd0cb9fa4ef807a128de05d31d323f7442b133","source_question_sha256":"fbf5dadac8db39ad9b5b801b1b8dcac1d07d97e71bec5dce6e0a0cbb521517fe","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0082","number":27407,"pilot_number":"R0053-27407","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27407 題：整數p進賦值","en":"Question 27407: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0082.json","sha256":"64c3b72165a36a2114b63b78e7345a6dfe6f214b9005939f53f69e930d31c703","source_question_sha256":"cd08d58f2384aa099ce99c1de24a181692c85e867c07a83e488751f5c66f7560","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0083","number":27408,"pilot_number":"R0053-27408","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27408 題：整數p進賦值","en":"Question 27408: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0083.json","sha256":"6d1df7eda44cb5454814d80c22c209eb7eab69733d553d387c91c20b8f4c78ca","source_question_sha256":"94951d657c5ab31d71befb403046ff9acaffb6e4024aae875c9dd86ce1fbf6bf","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0084","number":27409,"pilot_number":"R0053-27409","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27409 題：整數p進賦值","en":"Question 27409: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0084.json","sha256":"cec65167cd40f02280097e735298ec56aa42b44467f2515a0601e3d6ae2da62b","source_question_sha256":"e1b413e227d1d198b1d9f693153164326719907d1aa99c4c211dcb6761a12604","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0085","number":27410,"pilot_number":"R0053-27410","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27410 題：整數p進賦值","en":"Question 27410: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0085.json","sha256":"10112bb1e48550fe315c7a202cbecb9738ed8836b73ca7d01edec6f636b090e3","source_question_sha256":"888c881d9cdd08ca711a2a0d5ebecca46fef4d3ce6457243c42cd62c3c332df7","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0086","number":27411,"pilot_number":"R0053-27411","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27411 題：整數p進賦值","en":"Question 27411: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0086.json","sha256":"1eb57f4dbb7e604543487d1fede3b06d8a84d86df63b7a9a8e22e69c0dcb9ccd","source_question_sha256":"81018a7901441d21c4bf35970cc1c9aa6f544459b771f00d43766407782efffc","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0087","number":27412,"pilot_number":"R0053-27412","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27412 題：整數p進賦值","en":"Question 27412: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0087.json","sha256":"69d2349bc364af61cb3ce131b06252f308b155f449bbe60d7f595021ce9b1211","source_question_sha256":"5f435e294c3b250f0c33b08fa2b83ebc7ad8a4d01aac8bcfb2c8b66d456f7f68","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0088","number":27413,"pilot_number":"R0053-27413","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27413 題：整數p進賦值","en":"Question 27413: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0088.json","sha256":"002f0259bd631d7fd8ad5fb99306fb5cb479db1951f84fda9fdb3ce06589ae57","source_question_sha256":"2c2fd26fd43d9c3484c6e86edfccefa97548fa19568b7d0e547ccd1e3ac99f83","revision_id":"review-20261026-010-p54"},{"question_id":"q-20261015-advance-20261118-r05-p-adic-valuation-integers-0089","number":27414,"pilot_number":"R0053-27414","family_id":"qf-mod49-pval-boundary","batch_id":"batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations","title":{"zh-Hant":"第 27414 題：整數p進賦值","en":"Question 27414: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct 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Counterexamples"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0092.json","sha256":"fd748387f28cb64239e3531bde5d645e7a4d0cdb401207ad4a9d7bb48121ee05","source_question_sha256":"2d5b58e10572dc8970075ba1b31871a85f38e5e965908c66f5dee28f505002b6","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0093","number":27693,"pilot_number":"R0054-27693","family_id":"qf-mod49-slln-scope-boundary","batch_id":"batch-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-foundations","title":{"zh-Hant":"第 27693 題：有限值IID強大數律","en":"Question 27693: Outside-Scope Inputs Are Not General Strong-Law Counterexamples"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0093.json","sha256":"417386fcea07bfda923a30f60829d631e4f6c83f36533d44df27ea1a19d42111","source_question_sha256":"def272b63aec531e836f13c0bd8a0a07c218f332021d93aafcac702a2178b461","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0094","number":27694,"pilot_number":"R0054-27694","family_id":"qf-mod49-slln-scope-boundary","batch_id":"batch-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-foundations","title":{"zh-Hant":"第 27694 題：有限值IID強大數律","en":"Question 27694: Outside-Scope Inputs Are Not General Strong-Law Counterexamples"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0094.json","sha256":"a75cd5ebfa3fadcc6ecd42cfff0d73e2efc4175311b0ffb72feab9df8a89937b","source_question_sha256":"d65eb61077ffd10ad0209112ec6dd376cce7873b77e44e906601a3e3378c41ba","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0095","number":27695,"pilot_number":"R0054-27695","family_id":"qf-mod49-slln-scope-boundary","batch_id":"batch-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-foundations","title":{"zh-Hant":"第 27695 題：有限值IID強大數律","en":"Question 27695: Outside-Scope Inputs Are Not General Strong-Law Counterexamples"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0095.json","sha256":"0d75360e15d6035d2f1c7c1619ca8bbf2ca6620261685ddef6dbd7e83103fd9f","source_question_sha256":"0e745399fde9428b6cd70da46fd6f8d2f0f17a582af0ef76368a1bc4f84333db","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0096","number":27696,"pilot_number":"R0054-27696","family_id":"qf-mod49-slln-scope-boundary","batch_id":"batch-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-foundations","title":{"zh-Hant":"第 27696 題：有限值IID強大數律","en":"Question 27696: Outside-Scope Inputs Are Not General Strong-Law Counterexamples"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0096.json","sha256":"58845853fd1e87328121527cd339493214f96d7d8141a371d5a8c21c724ce90e","source_question_sha256":"ad39894e07e409a442fe8a297843ad45d1d6229e59de05d4a1aad9a6a25c2446","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0097","number":27697,"pilot_number":"R0054-27697","family_id":"qf-mod49-slln-scope-boundary","batch_id":"batch-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-foundations","title":{"zh-Hant":"第 27697 題：有限值IID強大數律","en":"Question 27697: Outside-Scope Inputs Are Not General Strong-Law Counterexamples"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0097.json","sha256":"0a5d505c52dde55d0f4af0c8562d150d32a9fea34edd0d1818c1ac07f7faf1f9","source_question_sha256":"503f4042ab2288a3d51abd577c45da34ed3229a2e8d662f117656f54789fdccd","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0098","number":27698,"pilot_number":"R0054-27698","family_id":"qf-mod49-slln-scope-boundary","batch_id":"batch-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-foundations","title":{"zh-Hant":"第 27698 題：有限值IID強大數律","en":"Question 27698: Outside-Scope Inputs Are Not General Strong-Law Counterexamples"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0098.json","sha256":"8fa6026f54e64641526b115ae56427e8ee81415ef3a5423c8420cfb52d5d79ce","source_question_sha256":"8cee5fcff6f3d13d9032750580828499f2cbb405e2534ac13b9a4ced3cc77f2d","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0099","number":27699,"pilot_number":"R0054-27699","family_id":"qf-mod49-slln-scope-boundary","batch_id":"batch-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-foundations","title":{"zh-Hant":"第 27699 題：有限值IID強大數律","en":"Question 27699: Outside-Scope Inputs Are Not General Strong-Law Counterexamples"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0099.json","sha256":"d9cc8fb1a67fee9d1e03afdf2b00779c1dd13547a11ba2d7a6453d19446f0464","source_question_sha256":"2e4ae5f01996ac3c641db4ceece0853af0d0a34086b23bb6041ffee221b6755c","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0100","number":27700,"pilot_number":"R0054-27700","family_id":"qf-mod49-slln-scope-boundary","batch_id":"batch-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-foundations","title":{"zh-Hant":"第 27700 題：有限值IID強大數律","en":"Question 27700: Outside-Scope Inputs Are Not General Strong-Law Counterexamples"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r02-strong-law-large-numbers-finite-valued-iid-0100.json","sha256":"0821323413e5a49dc6a69d09c3202022624f521ca8b343cd60a5403e58e97ef8","source_question_sha256":"bfbe4359bd12511a6cf2354223d6ffbdadcb9e62789975e21652354f71896927","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0076","number":27701,"pilot_number":"R0054-27701","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27701 題：Wilson定理","en":"Question 27701: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0076.json","sha256":"5aaa1f492f658498bc265cabd819527db669232c91f3a2736341ef65f2778cb9","source_question_sha256":"104edd4716a16d5d8af3588be25b9e65ac70bd19141faea9e3007e64bd73c330","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0077","number":27702,"pilot_number":"R0054-27702","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27702 題：Wilson定理","en":"Question 27702: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0077.json","sha256":"b6efc7d3076205616996ba99b076e4fa960f67f60b53b8e0f6efcc4b70caef11","source_question_sha256":"92678dfa2e9d3de734af63066fc7754249f34598cc8ada7672c43cc137a9f6aa","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0078","number":27703,"pilot_number":"R0054-27703","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27703 題：Wilson定理","en":"Question 27703: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0078.json","sha256":"277e3e30c8bfffd045a30aa23e688909c7e8a9c4075050df1627c73232f8a28d","source_question_sha256":"3784c172e1ca97d4e761728fef01f05530d8dd51428a4701c3a84ca9557a9655","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0079","number":27704,"pilot_number":"R0054-27704","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27704 題：Wilson定理","en":"Question 27704: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0079.json","sha256":"2c3b614ea46775cfc7ced5b519d444361caf2fc19e8de43d3d98d7b1769b115d","source_question_sha256":"731e29e43dd1493684ac042eb668ea77c051dcff0abcf909a462ed96d146de9b","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0080","number":27705,"pilot_number":"R0054-27705","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27705 題：Wilson定理","en":"Question 27705: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0080.json","sha256":"28c84a2f2f6d9e52a2778cbd95bb1415f2e6be2762e4605c046d4ba59e5c65a4","source_question_sha256":"ee1e79c918c6eea2ef15b8a3b9145f26d5bc1e843ba6c90b0b4294563b4f6ac7","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0081","number":27706,"pilot_number":"R0054-27706","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27706 題：Wilson定理","en":"Question 27706: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0081.json","sha256":"b5adfcf82f7c8f3d7c8c8740070e6286939c8b446d6b07f5a6fc0073fe4da5ec","source_question_sha256":"1b05063093428eb53b676fc54c0fbc62c0315d305ea8923edd8145e11f4d2c1e","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0082","number":27707,"pilot_number":"R0054-27707","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27707 題：Wilson定理","en":"Question 27707: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0082.json","sha256":"d70b1b966e7b5fd1562b9d03706a11fe537fa648ba348789a212c16f42f594f7","source_question_sha256":"e4b418eaaa838c0f4a9309a948a15e8b164213771fb4d3f1669f7314296c6850","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0083","number":27708,"pilot_number":"R0054-27708","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27708 題：Wilson定理","en":"Question 27708: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0083.json","sha256":"09449d94e5e42f901b0ac2ac240b089c78ff8019de36fe0ba2454eca66e6b0ab","source_question_sha256":"d5bb03e96a805799ed3e9e5e8de9e34ef399f523f451ddf3272e24cf7f86268f","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0084","number":27709,"pilot_number":"R0054-27709","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27709 題：Wilson定理","en":"Question 27709: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0084.json","sha256":"ee18bdd0b842b5145d884b23c9a96d415735154d16056cf521942f656e3e4a53","source_question_sha256":"2beedeb9d56404edd43c1156103cc7e40ac9dbe26ce7483b6cb2a49c281a998a","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0085","number":27710,"pilot_number":"R0054-27710","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27710 題：Wilson定理","en":"Question 27710: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0085.json","sha256":"9a842288f990aacfceed0b91c102a99a2fce3f65697f2418238d9919a7bee29e","source_question_sha256":"40bf2897de447bf05f7caba565a6a771f1210d700d22d914826ec55049bc2b75","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0086","number":27711,"pilot_number":"R0054-27711","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27711 題：Wilson定理","en":"Question 27711: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0086.json","sha256":"713e7dc361e3989d822ade34c884ba3d8a0a21b7769b765b431cb7edaf86c100","source_question_sha256":"12e06aaa9a03503b74a0db03f5d48def5a531789e6f6e7a5de06bbab855b9e54","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0087","number":27712,"pilot_number":"R0054-27712","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27712 題：Wilson定理","en":"Question 27712: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0087.json","sha256":"197f3bba27258e8f29e33d830461b1541301ba15f2b7b2fd1b53528b988b9227","source_question_sha256":"721701c1d09cd5997a902d22578360383aaea8c8e108e725fee79c7a2e530f8c","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0088","number":27713,"pilot_number":"R0054-27713","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27713 題：Wilson定理","en":"Question 27713: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0088.json","sha256":"941879db2d9b5a23a4782fff7b67eeb14cf8610234557af8f5e8ebe003da194a","source_question_sha256":"2941fea468674d19dcf312694b2a8218f03237c14acbbeed85d14ac6a8318165","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0089","number":27714,"pilot_number":"R0054-27714","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27714 題：Wilson定理","en":"Question 27714: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0089.json","sha256":"fa53a3a00808440e07d194cd20cc258cc49d1478ffae8a20ae10fddd4b60b51f","source_question_sha256":"2b6005f23d39fda01e0782e75376dfd2eb8a9d3897e3e4f3c16e300f0713ea89","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0090","number":27715,"pilot_number":"R0054-27715","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27715 題：Wilson定理","en":"Question 27715: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0090.json","sha256":"8df99833e11592e9809286f2153257ec964e58f1757da112913e6b3a1474bcd6","source_question_sha256":"3515a37d38d43364afa7d5ca558868f5589ee6404ac4009db33262e6ad870e78","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0091","number":27716,"pilot_number":"R0054-27716","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27716 題：Wilson定理","en":"Question 27716: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0091.json","sha256":"07aaa1f652bd6856cbb4b0bc9a1446e4ffca964d170f1ea1d71642ccb606a956","source_question_sha256":"7f3c728274649d991858070e3bcd2814e163ac096df2f33dbf3f463625272da1","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0092","number":27717,"pilot_number":"R0054-27717","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27717 題：Wilson定理","en":"Question 27717: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0092.json","sha256":"17954afa10352f768995cb648332c914ecb80c35a702384185c814d0a5eea6b8","source_question_sha256":"4ac71e70eb5cff54d2cbebc194a7430c10628804a3064e7050ee1e801de84a8b","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0093","number":27718,"pilot_number":"R0054-27718","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27718 題：Wilson定理","en":"Question 27718: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0093.json","sha256":"3f7e1c2178a68656f6ceed598ec6e797d57592332eb8ac5165811809a49ea817","source_question_sha256":"5add793bd9bd57725ca9ea9a790a8430046b7f2200e6972c26fdc568d868471b","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0094","number":27719,"pilot_number":"R0054-27719","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27719 題：Wilson定理","en":"Question 27719: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0094.json","sha256":"d6bde33a07af96be7f05c1ec82613bde9a524fe2ed884d6a19ad6f9ece3f1430","source_question_sha256":"88c99669ed29f8922e02d80ec8c9e9cd40fc74d723a1675c75e3db0b148a2279","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0095","number":27720,"pilot_number":"R0054-27720","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27720 題：Wilson定理","en":"Question 27720: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0095.json","sha256":"db67db725a9167302b89ea4025e003e12c8955dafa9681df34a1ffd3f6091d87","source_question_sha256":"65be23541b480cad796296589bf68cf5cb4ea84140e8ea95e7c3a0dfb953b6c3","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0096","number":27721,"pilot_number":"R0054-27721","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27721 題：Wilson定理","en":"Question 27721: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0096.json","sha256":"1084c46750815e55533026169e64f4855910a44ed4d6e1d849d71192f2cb5dc1","source_question_sha256":"04a484305b8333a33e1c88eef79a594f3de79fbd86e489666b52069f531429c7","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0097","number":27722,"pilot_number":"R0054-27722","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27722 題：Wilson定理","en":"Question 27722: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0097.json","sha256":"19f5ec28807689fb5485ae090a93ec77c82733bc2f2dfc9d2c01119b19a2b881","source_question_sha256":"9622639eae2bd4b6f4aa1620782b91f35e6c378422ec2121dcc889cc1a09e875","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0098","number":27723,"pilot_number":"R0054-27723","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27723 題：Wilson定理","en":"Question 27723: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0098.json","sha256":"8b938deeb6a9b47e2bfbaf3a2e4eea142ee319c9d896d3ebebf44f2dbbbce014","source_question_sha256":"424ac99855af63af50cf3da276b82fc05031f19d86ef911ebb7ec09c52d2060b","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0099","number":27724,"pilot_number":"R0054-27724","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27724 題：Wilson定理","en":"Question 27724: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0099.json","sha256":"8b855012638c0366c5890bfbf6a805b69c3eb83cbcac9f1a8b16f00d2d1e065a","source_question_sha256":"8374537e183ab9fddbfb656620e4674971746b8fb04d81297cb93a9d166c88c2","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0100","number":27725,"pilot_number":"R0054-27725","family_id":"qf-mod49-wilson-boundary","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27725 題：Wilson定理","en":"Question 27725: Wilson Domain, Finite Testing, Fermat Comparison and the p=2 Exception Stay Separate"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0100.json","sha256":"6d1d8567543ec41ecbd65e1f39af09b367ec691a14c98eb4b4a6d6036d159f1b","source_question_sha256":"0a9934517116a1f6aed3acd34d94fd0275b63ae29f200df0da0735cb2da3125b","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0051","number":27726,"pilot_number":"R0054-27726","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27726 題：Wilson定理","en":"Question 27726: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0051.json","sha256":"bed081e7b0a7ece35b6fcf157fe8b933860915baf432eebf418d9e658c6d0780","source_question_sha256":"15a4e19f65222aa48923b02c6df67f4f13d0604e3f4b57fb52f20482254cc764","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0052","number":27727,"pilot_number":"R0054-27727","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27727 題：Wilson定理","en":"Question 27727: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0052.json","sha256":"ecebf3bd2bef515876057b8643e52c513428d6cdc54c2523b7c827d523cf321a","source_question_sha256":"b41041fcf3489a1c984a5c056ebeae9e33defbbe57291adff13542bb4a31ccf8","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0053","number":27728,"pilot_number":"R0054-27728","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27728 題：Wilson定理","en":"Question 27728: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0053.json","sha256":"8ec2447cf8cca93ddbf44b31ef824af6ee43e912c928f28548c457d386587007","source_question_sha256":"87ba84699d299c52955895cc11cc4cc29a1913b73b1ed40b0ae447c8c68e7899","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0054","number":27729,"pilot_number":"R0054-27729","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27729 題：Wilson定理","en":"Question 27729: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0054.json","sha256":"c8b41967c65d757fdfcced39185ffe20fb97a4bebb2620dcf27934d97a6df98b","source_question_sha256":"93e9933f502dcbf70671c11f32d92cb2316d21f153521aa9d9cd24183e8966c9","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0055","number":27730,"pilot_number":"R0054-27730","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27730 題：Wilson定理","en":"Question 27730: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0055.json","sha256":"0c104de52ea4eefe3c7393327ba71366229d3f9c96aa31bf0312ff83b7409e18","source_question_sha256":"e6f7321b02224e73ed614b2f7ca8362ca1ffe40233f95d85efee4f89ddb1ee18","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0056","number":27731,"pilot_number":"R0054-27731","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27731 題：Wilson定理","en":"Question 27731: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0056.json","sha256":"063820ec27b0dbf5e735cf54df2afb63e16e5d5d3fc258800afaf449b8e64db2","source_question_sha256":"de5c8e3172cc9af3ad7612cb5f5dc3353a301f0c37f992820fd10e2b04daad09","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0057","number":27732,"pilot_number":"R0054-27732","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27732 題：Wilson定理","en":"Question 27732: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0057.json","sha256":"b2e3cfb58a909b074aabee8abb85cb06cd4b9a7b6fc7eba92514e3dde5577df6","source_question_sha256":"f7242c980974baea26d2ee79e6642d9bf0371bd27610deada1dff37f3caa70f0","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0058","number":27733,"pilot_number":"R0054-27733","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27733 題：Wilson定理","en":"Question 27733: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0058.json","sha256":"0ca841b3c660c9e5e9ee2fd8d006407d60ab9e199091701fd197b6a02e9ed4d6","source_question_sha256":"66680e1f50a35b91f3246acdf1604ddaac0ca958e43f84dda27f00cb01e386f1","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0059","number":27734,"pilot_number":"R0054-27734","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27734 題：Wilson定理","en":"Question 27734: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0059.json","sha256":"b4ee50bae813692840dac6ee86e521176bb3cab75a79e7968b971874c7c24f98","source_question_sha256":"3ecc65b3327982dc89860f68d53a670f1acf75df8bb85c138644463f9f506bfd","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0060","number":27735,"pilot_number":"R0054-27735","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27735 題：Wilson定理","en":"Question 27735: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0060.json","sha256":"2e011635db9f44a4f80484a324831948dff97097a67538b6205253afc687c37f","source_question_sha256":"c50aacf19f644c817f0666095cc195032615d2872e01315c52530165111aad31","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0061","number":27736,"pilot_number":"R0054-27736","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27736 題：Wilson定理","en":"Question 27736: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0061.json","sha256":"5876180a395e6a1abde5ceca65552dfdd84aeeefd6d08d8ba766fd980d88f991","source_question_sha256":"676e4ba4055840c91345e27a5cb786d52362094e8c87f1c010aac41ae51e3fca","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0062","number":27737,"pilot_number":"R0054-27737","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27737 題：Wilson定理","en":"Question 27737: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0062.json","sha256":"a51cac91286fa6204a04a220107353a651c26a630440f189e382c421fab3ae35","source_question_sha256":"49cfcbef171f6ac640ad4cc8ec0d612eebd0a9305921846c0cc65b8367811530","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0063","number":27738,"pilot_number":"R0054-27738","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27738 題：Wilson定理","en":"Question 27738: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0063.json","sha256":"ea4814956dc088f0e7bf58091b5dbcba7bca0ddd0f0a085f5970f3fb312045b4","source_question_sha256":"e1c28a41f61ecd180ffd8619ee9f8a06698ba5c025f70bf194df2352f7ac2d16","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0064","number":27739,"pilot_number":"R0054-27739","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27739 題：Wilson定理","en":"Question 27739: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0064.json","sha256":"604758a5f9d2f419d9b1f8b4fb080273a6964e0878b2a80453cf5a93b4d9d47c","source_question_sha256":"cfa2f12bb6ec15a7641e4e9c5557209591d910ebfaa57d78522c4d8cca74ddb0","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0065","number":27740,"pilot_number":"R0054-27740","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27740 題：Wilson定理","en":"Question 27740: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0065.json","sha256":"bd9d0b350060a1e64908343b96db7a77c66c1147c560e8bc3ef4f7895044bdba","source_question_sha256":"4c3af05a71706345e0e5def4b4a151170d39c9745e0bf0e7f9293b8bd74c3fd8","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0066","number":27741,"pilot_number":"R0054-27741","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27741 題：Wilson定理","en":"Question 27741: A Composite Factorial Computation Is an Instance, Not the Converse Proof"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0066.json","sha256":"c5899892569bd7d457da962473a49b50a7ebb86aa8f78f77c28b541ccd45b734","source_question_sha256":"2fb198e58d85a530a63382cfbb71f6915f2d092881eb288e9992b83693b3bda3","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0067","number":27742,"pilot_number":"R0054-27742","family_id":"qf-mod49-wilson-composite-instance","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27742 題：Wilson定理","en":"Question 27742: A Composite Factorial Computation Is an Instance, Not the Converse 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Case"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0027.json","sha256":"8a829e702bb4e8415b0ed1baff94ca4b8f9ad072e15c004597e5d5ad2af01522","source_question_sha256":"d12d290327fbe2944f13a8bbb644c3beffcfcd8854001c47c68f97a66b98b2d9","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0028","number":27778,"pilot_number":"R0054-27778","family_id":"qf-mod49-wilson-prime-inverse-pairing","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27778 題：Wilson定理","en":"Question 27778: All Nonzero Prime Residues Pair with Inverses, with a Special p=2 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Case"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0029.json","sha256":"9a73645b7fa91fc08b0ee1ffe3fc8adf374e0099502b4d4f8b72bb4ce6809755","source_question_sha256":"0ef78b541b9caee28ca0f3c89acbb53e3abf98f7a50bbe00e62cb8c9ef266eea","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0030","number":27780,"pilot_number":"R0054-27780","family_id":"qf-mod49-wilson-prime-inverse-pairing","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27780 題：Wilson定理","en":"Question 27780: All Nonzero Prime Residues Pair with Inverses, with a Special p=2 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Case"},"path":"/data/question-derivations/questions/q-20261015-advance-20261118-r04-wilson-theorem-0045.json","sha256":"b6fdb10c6dd11e862f85071004a895ccbf1ad965cb461b995078a6260f8a2f14","source_question_sha256":"6c46df0f139a763f95e6e918574e61ecb258e6b890066591e9ff75ebcbb92ead","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-advance-20261118-r04-wilson-theorem-0046","number":27796,"pilot_number":"R0054-27796","family_id":"qf-mod49-wilson-prime-inverse-pairing","batch_id":"batch-20261015-advance-20261118-r04-wilson-theorem-foundations","title":{"zh-Hant":"第 27796 題：Wilson定理","en":"Question 27796: All Nonzero Prime Residues Pair with Inverses, with a Special p=2 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KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0087.json","sha256":"671aa845148fd8414e53121c9b833836786c1e5695697d2082bc22534317f600","source_question_sha256":"69c284fe695fe4f5f28d147522c6b311714e218198d75ece92525222a4e8b772","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0088","number":27913,"pilot_number":"R0054-27913","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27913 題：Lagrange乘子條件","en":"Question 27913: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0088.json","sha256":"fa4704e426243309f3ace71eed28f62e5b158716c42ec18c4ade49aacdf8c633","source_question_sha256":"8cf183e63fa9be35c308fd4384426a19739bff439527de670f6aac718cf18a72","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0089","number":27914,"pilot_number":"R0054-27914","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27914 題：Lagrange乘子條件","en":"Question 27914: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0089.json","sha256":"48414075f378ede7ef8241473efc3d74c62dafae466a57e327711d7674834c05","source_question_sha256":"f85b030117b30692c939688c480a6f113e03ecb9dae3272997940081094fe4b2","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0090","number":27915,"pilot_number":"R0054-27915","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27915 題：Lagrange乘子條件","en":"Question 27915: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0090.json","sha256":"29bf7dcf2f91c197729c7dc9dffc155736ab92da6ceaff7df84f6492749e5b4f","source_question_sha256":"399c6354298c6e48f94649337c2c40cf8f577092a424c1be425c072d107bee4d","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0091","number":27916,"pilot_number":"R0054-27916","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27916 題：Lagrange乘子條件","en":"Question 27916: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0091.json","sha256":"e3845adb9672fdf51e4c6156d6d0c850747ac0b0cab6eb691453b7c83230bdb8","source_question_sha256":"18b23c34468e2128a97e92cb3b0f7430d975f063e0af2ae12435066e018f9ae7","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0092","number":27917,"pilot_number":"R0054-27917","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27917 題：Lagrange乘子條件","en":"Question 27917: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0092.json","sha256":"d91787c110ed3660337ed599de49d17fb0be3d8f1969f18bd66005b985b83d3b","source_question_sha256":"79592785e9c208168b2dec9017b75cf0dee1365f09422f0c9d25c69cd6bd2a5b","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0093","number":27918,"pilot_number":"R0054-27918","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27918 題：Lagrange乘子條件","en":"Question 27918: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0093.json","sha256":"808e341bad033449301d3c8378abff132fccf78472abd7f43e3ce10c7f225f3d","source_question_sha256":"ed5f0381c5688dc53cec7535cb662686f73a098f09f84a9f1e09a4376b01c713","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0094","number":27919,"pilot_number":"R0054-27919","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27919 題：Lagrange乘子條件","en":"Question 27919: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0094.json","sha256":"9574dee4dd22b0706aabec5e45fe91c8ef196968a28f75a4f43cccf7fc2a9eb1","source_question_sha256":"54c07d4dd3b759ebe3f40a73f8683e97a33a3bb515b5102861822b67e042ac43","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0095","number":27920,"pilot_number":"R0054-27920","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27920 題：Lagrange乘子條件","en":"Question 27920: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0095.json","sha256":"6e1e368092ffc0c9118d7acbed18339180e356b10a263e0cd4e86aba7ace99af","source_question_sha256":"5248e01902422f22182767114554d41bf897141dae78e48851f7e5ac68372e24","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0096","number":27921,"pilot_number":"R0054-27921","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27921 題：Lagrange乘子條件","en":"Question 27921: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0096.json","sha256":"91482a5099987686c2da696d630734f83c31ce5c5cb86cd915c7c62ef6a61e2a","source_question_sha256":"59ab1121861219ca43e75921f522a3b368d42a8a6143d562a62f411cb6176a38","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0097","number":27922,"pilot_number":"R0054-27922","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27922 題：Lagrange乘子條件","en":"Question 27922: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0097.json","sha256":"d0c15ed31f5d2aada18f95c4312203f86f2b54672544a96a19dbaf9cfdabff99","source_question_sha256":"09c7965ba4076a2dccaabbcc371ebce9703f550b0612397b93f30986edf6062b","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0098","number":27923,"pilot_number":"R0054-27923","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27923 題：Lagrange乘子條件","en":"Question 27923: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0098.json","sha256":"5ecad92054ea4c4186015562c2069df1165953fa25f5cc4e1f26246b53b942e0","source_question_sha256":"6b754624c855aadfc089d69ed8dffe6f76f5ad0edd36173718ee80b156456e60","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0099","number":27924,"pilot_number":"R0054-27924","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27924 題：Lagrange乘子條件","en":"Question 27924: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0099.json","sha256":"3b3f8902cfdcaa596a2a4d9f51211e78f14c64cf55a87d29cd26b666fca0675b","source_question_sha256":"05eea3d790c9622b7690d5e816cffb93de01c47121de4ab246769d6c63a4e311","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0100","number":27925,"pilot_number":"R0054-27925","family_id":"qf-mod50-lagrange-boundary","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27925 題：Lagrange乘子條件","en":"Question 27925: Regular Equality Conditions Are Necessary, Not Sufficient, and Not Inequality KKT"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0100.json","sha256":"9b3c40b0ee183ae97265d4100c13cd535aac40bb2d937bff3ee5cac38ea0dfb7","source_question_sha256":"a3274f0709138afb7d10151fd40c4af8a3e49619ed7e7e16e2ac100e26364623","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0026","number":27926,"pilot_number":"R0054-27926","family_id":"qf-mod50-lagrange-multiplier-residual","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27926 題：Lagrange乘子條件","en":"Question 27926: The Multiplier Equation Uses a Fixed Positive-Sign Convention"},"path":"/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0026.json","sha256":"808fdc0e076e474281a4e864a9695ca73764a32356aac641c70f51d2f4b96643","source_question_sha256":"1d6ef735d0770e7e0007443ee7d9c792a894d94dea88038e0a037d3375695389","revision_id":"review-20261026-010-p55"},{"question_id":"q-20261015-pulse-20261119-r04-0027","number":27927,"pilot_number":"R0054-27927","family_id":"qf-mod50-lagrange-multiplier-residual","batch_id":"batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations","title":{"zh-Hant":"第 27927 題：Lagrange乘子條件","en":"Question 27927: The Multiplier Equation Uses a Fixed Positive-Sign 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Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0005.json","sha256":"92e0f615fe8b21e7daed1462408da86d218014c4b1502c45a28e708112e9d067","source_question_sha256":"f54d6bd411d7df72d92add14efa3ba04b03cc03debe5dddd4bc1e9f44d125991","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0006","number":29156,"pilot_number":"R0057-29156","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29156 題：有限離散PMF","en":"Question 29156: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0006.json","sha256":"af11584ad82c0c001086be707c1fd00624aa8dcab1e20b0f7ada0f497827cdd6","source_question_sha256":"a59342836153a8dd215103fb58e10da0b848171c69a719feaac57e6d2f1025e7","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0007","number":29157,"pilot_number":"R0057-29157","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29157 題：有限離散PMF","en":"Question 29157: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0007.json","sha256":"57b09b5a56765d298741b6a5593e7289a229a02c67aed925458c6b839f7a84f6","source_question_sha256":"511a63fcf686b69b673fb884f0f9c663bedd21774b3ea69f2c485b864f87e253","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0008","number":29158,"pilot_number":"R0057-29158","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29158 題：有限離散PMF","en":"Question 29158: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0008.json","sha256":"6b37f507b7a824024b79208039df71f9ec8daa05b7d9f2690664ddaae2635f70","source_question_sha256":"7cef5835ccf8dcac8013c624c76c965ff137c1711b739b55ea052b66ddf33201","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0009","number":29159,"pilot_number":"R0057-29159","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29159 題：有限離散PMF","en":"Question 29159: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0009.json","sha256":"23f853aaf2d43d274f94990c367bf3beca9623f0a52b642f690ce3ed8bb40f2e","source_question_sha256":"7f919f834fbbd7460bad62c4bd52301fb1219500f9f4ae452d2b410c85049e09","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0010","number":29160,"pilot_number":"R0057-29160","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29160 題：有限離散PMF","en":"Question 29160: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0010.json","sha256":"e0c2dca85ef7914b3b3c8c60d002649568aabb4947f83d0d85e04bf4cbc815bd","source_question_sha256":"071fa853948b23439eccfb7b2f577713b6ea5003ec5ad74036f9b1c8d460f577","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0011","number":29161,"pilot_number":"R0057-29161","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29161 題：有限離散PMF","en":"Question 29161: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0011.json","sha256":"22d73fb9f959a9bc8f90cc910439df46851a4e4e67a28ea81f7f4fb082d7c7e3","source_question_sha256":"aae924979fe95974658982f527b526b971f62a878abb49ae33ca58ff2dd69107","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0012","number":29162,"pilot_number":"R0057-29162","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29162 題：有限離散PMF","en":"Question 29162: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0012.json","sha256":"ad9d220eb5dcefabd5e1ccf032856d3232713828a266d92a83b91846a26f6346","source_question_sha256":"7e480344edfcda30ee1c142746a47f63575f9ee9b47cb9b75aaf7f3c57655bd5","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0013","number":29163,"pilot_number":"R0057-29163","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29163 題：有限離散PMF","en":"Question 29163: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0013.json","sha256":"d349efa1e98ed3573805bd390d06d102e3a73af7750810f7ab79973b30f9baab","source_question_sha256":"280d91121c274867c977ef005f8e55feb0d4028560571de634554b160781229b","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0014","number":29164,"pilot_number":"R0057-29164","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29164 題：有限離散PMF","en":"Question 29164: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0014.json","sha256":"afe650d4fc41ce636326f7ad6ec77e6fd4490b8a15921517032621084347e8ad","source_question_sha256":"b9965759618386f1760f04d1b1e42d4f41679d2cf766da1ee4e671b9b332e131","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0015","number":29165,"pilot_number":"R0057-29165","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29165 題：有限離散PMF","en":"Question 29165: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0015.json","sha256":"c432b9a1d0d4c9188ef66b8134c82ffdb4cc349d3a974ee0096e6c11f5b4a59a","source_question_sha256":"b7a20ca3d29acdc522fb1c8e7d5a5f028ef180d2d5990925f94e58df1b084878","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0016","number":29166,"pilot_number":"R0057-29166","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29166 題：有限離散PMF","en":"Question 29166: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0016.json","sha256":"29165fb4f074df1eff9a0771f4840ac2e43442adbf240e7ed01f7680fc029515","source_question_sha256":"1ba04f9fbff51fd12acd483cb491e01aa5d2b58186cd4e42698a17c7745e9535","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0017","number":29167,"pilot_number":"R0057-29167","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29167 題：有限離散PMF","en":"Question 29167: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0017.json","sha256":"a8886026065cb7670c3a1bcdff02da9604063591df701c116d29e870dfa68e67","source_question_sha256":"ef2cbadfbd2f96579da468eba6a04abab40983981192859d68ea0a3843dd1da2","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0018","number":29168,"pilot_number":"R0057-29168","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29168 題：有限離散PMF","en":"Question 29168: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0018.json","sha256":"fbe83f0f180df4739410635aef94e6f43231672ca2602dfdc30b0496103176f2","source_question_sha256":"b7b9af28792f7a62a5aec83395bb4d5b1d91f48635f6882e126859cf05d6e08e","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0019","number":29169,"pilot_number":"R0057-29169","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29169 題：有限離散PMF","en":"Question 29169: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0019.json","sha256":"78edf46708d5117fab4c763a20bb9a5aaffbb0afb0507bb6db752cb302ea7861","source_question_sha256":"3f2b4987d6ce35fdda1a3221ccd6ecd02f1e52b7d9737e918aff77192cedd453","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0020","number":29170,"pilot_number":"R0057-29170","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29170 題：有限離散PMF","en":"Question 29170: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0020.json","sha256":"afa21e705b3ff8bc29a73cedb401ab43b54c943ce6389bef9d5f063335509683","source_question_sha256":"1500178f961e38697944ebaed4df5c28d1296a0314f50f023128e9ef5fb1bb71","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0021","number":29171,"pilot_number":"R0057-29171","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29171 題：有限離散PMF","en":"Question 29171: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0021.json","sha256":"8aafb5012faa955ce9800fe25d7cd4be97a90c8ae89eb98475f5104466051437","source_question_sha256":"4deaefa6288f946714ac0532e3154a6ba8281348c09f3f8588ec547bdee0be99","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0022","number":29172,"pilot_number":"R0057-29172","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29172 題：有限離散PMF","en":"Question 29172: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0022.json","sha256":"48356936c14d0a420b5bb58bced61dac65c5091c6a21b0c938c64784c2670b75","source_question_sha256":"b4c6e4225eab59bf3daea59a7e868c7e3c27b49a5d5ffcbc157276876daab9cf","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0023","number":29173,"pilot_number":"R0057-29173","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29173 題：有限離散PMF","en":"Question 29173: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0023.json","sha256":"fb5a56ce7200bd7d04271f3f089ed3ee11ec4a710519534ff99ad411bfa6f21b","source_question_sha256":"a997be77059ee384f6ffbed98b4fa1fe27b5da2bd6c23a6cd074efcd16962bce","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0024","number":29174,"pilot_number":"R0057-29174","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29174 題：有限離散PMF","en":"Question 29174: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0024.json","sha256":"c807a528f714c7d3949beb38966762b442000c0f591cc6b1dac7afd99d22ba58","source_question_sha256":"b254e8a02b531729895630c1e78d7d044c6d966131c2239bced95f654653208a","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0025","number":29175,"pilot_number":"R0057-29175","family_id":"qf-str22-distribution-pmf-qualification","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29175 題：有限離散PMF","en":"Question 29175: Exact Normalization and Nonnegativity before PMF Use"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0025.json","sha256":"8256a81496c2c5b86798e67cf7eaeb956963437ea5e6e57f6daa23ae39bf018a","source_question_sha256":"4adfc94f0a56f05d9e82855a2adcf35b541c4c9c40c53dc7ef8817e1d24d9da4","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0076","number":29176,"pilot_number":"R0057-29176","family_id":"qf-str22-distribution-pushforward","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29176 題：有限離散PMF","en":"Question 29176: Merge All Masses with a Common Image"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0076.json","sha256":"390750cf7122624c8fafcc1a7aca222637a3aacaabe77c4d7e4ff48852be0060","source_question_sha256":"91520c3a78d720ba273e611bf5fd68f653dd14500629cfc889cc37dcbc933892","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0077","number":29177,"pilot_number":"R0057-29177","family_id":"qf-str22-distribution-pushforward","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29177 題：有限離散PMF","en":"Question 29177: Merge All Masses with a Common Image"},"path":"/data/question-derivations/questions/q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0077.json","sha256":"b24c284018438d4d62aa0d5c7146b8478be35c9f8442e9193b6a04be3be7e731","source_question_sha256":"9ab2c4cf79a84bb560a919555ce920e27fdf2f05f9892d2b9cd8ec1ff1af68a0","revision_id":"review-20261026-011-p58"},{"question_id":"q-20261013-advance-20261022-r07-finite-discrete-probability-distribution-0078","number":29178,"pilot_number":"R0057-29178","family_id":"qf-str22-distribution-pushforward","batch_id":"batch-20261013-advance-20261022-r07-finite-discrete-probability-distribution-foundations","title":{"zh-Hant":"第 29178 題：有限離散PMF","en":"Question 29178: Merge All Masses with a Common 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Positivity"},"path":"/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0070.json","sha256":"7cb6c2dd5a229fb9e172d16fc7a6d234d0fb0481689af89b8be253ecdd35f9f1","source_question_sha256":"595c0599652186fbf7616846aeaf9833693eb2df8b205054948bc79c38945bde","revision_id":"review-20261026-011-p61"},{"question_id":"q-20261010-advance-20261014-r07-circle-0071","number":30521,"pilot_number":"R0060-30521","family_id":"qf-density14-circle-radius-scale-witness","batch_id":"batch-20261010-advance-20261014-r07-circle-foundations","title":{"zh-Hant":"第 30521 題：半徑參數的尺度見證","en":"Question 30521: Radius-Parameter Scaling and 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