{ "final_fa23": { "items": 86, "notes": [ "Exclude pledge. Normal second parameter is variance; geometric counts trials from one. Q5.3b tight cycle lower bound corrected to max(3,c). Q8.2 prime field larger than degrees specified. Balls/bin sampling explicitly independent uniform. Markov diagrams verified on blank pages20\u201321. Composite estimator/MSE and six transition boxes count once each." ], "included": [ { "id": "2.1a", "source_parts": [ "2.1a" ], "repairs": [] }, { "id": "2.1b", "source_parts": [ "2.1b" ], "repairs": [] }, { "id": "2.1c", "source_parts": [ "2.1c" ], "repairs": [] }, { "id": "2.2a", "source_parts": [ "2.2a" ], "repairs": [] }, { "id": "2.2b", "source_parts": [ "2.2b" ], "repairs": [] }, { "id": "3.1", "source_parts": [ "3.1" ], "repairs": [] }, { "id": "3.2", "source_parts": [ "3.2" ], "repairs": [] }, { "id": "4.1", "source_parts": [ "4.1" ], "repairs": [] }, { "id": "4.2", "source_parts": [ "4.2" ], "repairs": [] }, { "id": "4.3", "source_parts": [ "4.3" ], "repairs": [] }, { "id": "5.1", "source_parts": [ "5.1" ], "repairs": [] }, { "id": "5.2a", "source_parts": [ "5.2a" ], "repairs": [] }, { "id": "5.2b", "source_parts": [ "5.2b" ], "repairs": [] }, { "id": "5.2c", "source_parts": [ "5.2c" ], "repairs": [] }, { "id": "5.3a", "source_parts": [ "5.3a" ], "repairs": [] }, { "id": "5.3b", "source_parts": [ "5.3b" ], "repairs": [ "Include minimum length three of a simple cycle; 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Withhold Q10.4\u20136: arbitrary infinite coefficient lists do not define functions at all x without convergence/topology rules; the stated functional equivalence and finite-field evaluation are undefined. No model result used to decide this. Q6.5 uses an iff zero-divisor criterion and excludes N=1. Q13.2 corrects the source geometric >= versus > off-by-one with explicit trial support. Grids and basketball arrows visually checked, blank pages 10 and 21. Composite code/transition blanks exact-match." ], "included": [ { "id": "2.1a", "source_parts": [ "2.1a" ], "repairs": [] }, { "id": "2.1b", "source_parts": [ "2.1b" ], "repairs": [] }, { "id": "2.1c", "source_parts": [ "2.1c" ], "repairs": [] }, { "id": "2.2a", "source_parts": [ "2.2a" ], "repairs": [] }, { "id": "2.2b", "source_parts": [ "2.2b" ], "repairs": [] }, { "id": "2.2c", "source_parts": [ "2.2c" ], "repairs": [] }, { "id": "2.3", "source_parts": [ "2.3" ], "repairs": [] }, { "id": "3.2", "source_parts": [ "3.2" ], "repairs": [] }, { "id": "3.3a", "source_parts": [ "3.3a" ], "repairs": [] }, { "id": "3.3b", "source_parts": [ "3.3b" ], "repairs": [] }, { "id": "4.1a", "source_parts": [ "4.1a" ], "repairs": [] }, { "id": "4.1b", "source_parts": [ "4.1b" ], "repairs": [] }, { "id": "4.2a", "source_parts": [ "4.2a" ], "repairs": [] }, { "id": "4.2b", "source_parts": [ "4.2b" ], "repairs": [] }, { "id": "5.1a", "source_parts": [ "5.1a" ], "repairs": [] }, { "id": "5.1b", "source_parts": [ "5.1b" ], "repairs": [] }, { "id": "5.1c", "source_parts": [ "5.1c" ], "repairs": [] }, { "id": "5.2a", "source_parts": [ "5.2a" ], "repairs": [] }, { "id": "5.2b", "source_parts": [ "5.2b" ], "repairs": [] }, { "id": "5.3", "source_parts": [ "5.3" ], "repairs": [] }, { "id": "6.1", "source_parts": [ "6.1" ], "repairs": [] }, { "id": "6.2", "source_parts": [ "6.2" ], "repairs": [] }, { "id": "6.3", "source_parts": [ "6.3" ], "repairs": [] }, { "id": "6.4a", "source_parts": [ "6.4a" ], "repairs": [] }, { "id": "6.4b", "source_parts": [ "6.4b" ], "repairs": [] }, { "id": "6.4c", "source_parts": [ "6.4c" ], "repairs": [] }, { "id": "6.4d", "source_parts": [ "6.4d" ], "repairs": [] }, { "id": "6.4e", "source_parts": [ "6.4e" ], "repairs": [] }, { "id": "6.4f", "source_parts": [ "6.4f" ], "repairs": [] }, { "id": "6.5", "source_parts": [ "6.5" ], "repairs": [ "Exclude N=1 and strengthen to iff: the original one-way implication also permits vacuously true distractors." ] }, { "id": "6.6", "source_parts": [ "6.6" ], "repairs": [] }, { "id": "7.1", "source_parts": [ "7.1" ], "repairs": [] }, { "id": "7.2a", "source_parts": [ "7.2a" ], "repairs": [] }, { "id": "7.2b", "source_parts": [ "7.2b" ], "repairs": [] }, { "id": "7.3a", "source_parts": [ "7.3a" ], "repairs": [] }, { "id": "7.3b", "source_parts": [ "7.3b" ], "repairs": [] }, { "id": "7.3c", "source_parts": [ "7.3c" ], "repairs": [] }, { "id": "8.1", "source_parts": [ "8.1" ], "repairs": [] }, { "id": "8.2", "source_parts": [ "8.2" ], "repairs": [] }, { "id": "8.3a", "source_parts": [ "8.3a" ], "repairs": [] }, { "id": "8.3b", "source_parts": [ "8.3b" ], "repairs": [] }, { "id": "8.4", "source_parts": [ "8.4" ], "repairs": [] }, { "id": "9.1", "source_parts": [ "9.1" ], "repairs": [] }, { "id": "9.2", "source_parts": [ "9.2" ], "repairs": [] }, { "id": "9.3", "source_parts": [ "9.3" ], "repairs": [] }, { "id": "10.1", "source_parts": [ "10.1" ], "repairs": [] }, { "id": "10.2", "source_parts": [ "10.2" ], "repairs": [] }, { "id": "10.3", "source_parts": [ "10.3" ], "repairs": [] }, { "id": "11.1", "source_parts": [ "11.1", "11.2", "11.3", "11.4" ], "repairs": [] }, { "id": "12.1a", "source_parts": [ "12.1a" ], "repairs": [] }, { "id": "12.1b", "source_parts": [ "12.1b" ], "repairs": [] }, { "id": "12.1c", "source_parts": [ "12.1c" ], "repairs": [] }, { "id": "12.1d", "source_parts": [ "12.1d" ], "repairs": [] }, { "id": "12.2a", "source_parts": [ "12.2a" ], "repairs": [] }, { "id": "12.2bi", "source_parts": [ "12.2bi" ], "repairs": [] }, { "id": "12.2bii", "source_parts": [ "12.2bii" ], "repairs": [] }, { "id": "12.2biii", "source_parts": [ "12.2biii" ], "repairs": [] }, { "id": "12.3a", "source_parts": [ "12.3a" ], "repairs": [] }, { "id": "12.3b", "source_parts": [ "12.3b" ], "repairs": [] }, { "id": "12.3c", "source_parts": [ "12.3c" ], "repairs": [] }, { "id": "12.4a", "source_parts": [ "12.4a" ], "repairs": [] }, { "id": "12.4b", "source_parts": [ "12.4b" ], "repairs": [] }, { "id": "13.1a", "source_parts": [ "13.1a" ], "repairs": [] }, { "id": "13.1b", "source_parts": [ "13.1b" ], "repairs": [] }, { "id": "13.2", "source_parts": [ "13.2" ], "repairs": [ "Correct official 1/p key: >= retains a possible zero residual; 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Q6 uses n>=8 to retain intended eight-color result and corrects expectation index to n\u22121. Q10 path/cycle orientations explicit. Q12 CLT is an approximation, not a rigorous upper bound; Chebyshev question specifies direct two-sided application. Q14 count independent of lifetimes explicit. Q21 independent uniform allocations, n>=4. Grouped marginal and expectation answer boxes scored once each." ], "included": [ { "id": "2.1", "source_parts": [ "2.1" ], "repairs": [] }, { "id": "2.2", "source_parts": [ "2.2" ], "repairs": [] }, { "id": "2.3", "source_parts": [ "2.3" ], "repairs": [] }, { "id": "2.4", "source_parts": [ "2.4" ], "repairs": [] }, { "id": "2.5", "source_parts": [ "2.5" ], "repairs": [] }, { "id": "2.6", "source_parts": [ "2.6" ], "repairs": [] }, { "id": "3.1", "source_parts": [ "3.1" ], "repairs": [] }, { "id": "3.2a", "source_parts": [ "3.2a" ], "repairs": [] }, { "id": "3.2b", "source_parts": [ "3.2b" ], "repairs": [] }, { "id": "4.1", "source_parts": [ "4.1" ], "repairs": [] }, { "id": "4.2", "source_parts": [ "4.2" ], "repairs": [] }, { "id": "4.3", "source_parts": [ "4.3" ], "repairs": [] }, { "id": "5.1", "source_parts": [ "5.1" ], "repairs": [] }, { "id": "6.1", "source_parts": [ "6.1" ], "repairs": [ "Use n>=8 rather than n>=7 consistently with Q6.3 intended answer." ] }, { "id": "6.2", "source_parts": [ "6.2" ], "repairs": [] }, { "id": "6.3a", "source_parts": [ "6.3a" ], "repairs": [ "At n=7 the source answer8 is not minimal; 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Native alternatives retained. Q12 grid is fully defined as a cycle; illustrative drawing adds no data. Q14 directed diagram visually checked on blank page17. Q13 makes Poisson arrival-process assumption explicit: mean spacing and informal independent arrivals alone do not specify a Poisson process. Q9 statements preserve available moment information. Grouped CLT parameters scored jointly." ], "included": [ { "id": "1.a", "source_parts": [ "1.a" ], "repairs": [] }, { "id": "1.b", "source_parts": [ "1.b" ], "repairs": [] }, { "id": "1.c", "source_parts": [ "1.c" ], "repairs": [] }, { "id": "1.d", "source_parts": [ "1.d" ], "repairs": [] }, { "id": "1.e", "source_parts": [ "1.e" ], "repairs": [] }, { "id": "1.f", "source_parts": [ "1.f" ], "repairs": [] }, { "id": "1.g", "source_parts": [ "1.g" ], "repairs": [] }, { "id": "1.h", "source_parts": [ "1.h" ], "repairs": [] }, { "id": "1.i", "source_parts": [ "1.i" ], "repairs": [] }, { "id": "1.j1", "source_parts": [ "1.j1" ], "repairs": [] }, { "id": "1.j2", "source_parts": [ "1.j2" ], "repairs": [] }, { "id": "1.j3", "source_parts": [ "1.j3" ], "repairs": [] }, { "id": "2.a", "source_parts": [ "2.a" ], "repairs": [] }, { "id": "2.b", "source_parts": [ "2.b" ], "repairs": [] }, { "id": "2.c", "source_parts": [ "2.c" ], "repairs": [] }, { "id": "2.d", "source_parts": [ "2.d" ], "repairs": [] }, { "id": "3.a", "source_parts": [ "3.a" ], "repairs": [] }, { "id": "3.b", "source_parts": [ "3.b" ], "repairs": [] }, { "id": "4.a", "source_parts": [ "4.a" ], "repairs": [] }, { "id": "4.b", "source_parts": [ "4.b" ], "repairs": [] }, { "id": "5.a", "source_parts": [ "5.a" ], "repairs": [] }, { "id": "5.b", "source_parts": [ "5.b" ], "repairs": [] }, { "id": "6.a", "source_parts": [ "6.a" ], "repairs": [] }, { "id": "6.b", "source_parts": [ "6.b" ], "repairs": [] }, { "id": "6.c", "source_parts": [ "6.c" ], "repairs": [] }, { "id": "7.1", "source_parts": [ "7.1" ], "repairs": [] }, { "id": "8.a", "source_parts": [ "8.a" ], "repairs": [] }, { "id": "8.b", "source_parts": [ "8.b" ], "repairs": [] }, { "id": "8.c", "source_parts": [ "8.c" ], "repairs": [] }, { "id": "8.d", "source_parts": [ "8.d" ], "repairs": [] }, { "id": "9.1", "source_parts": [ "9.1" ], "repairs": [] }, { "id": "9.2", "source_parts": [ "9.2" ], "repairs": [] }, { "id": "9.3", "source_parts": [ "9.3" ], "repairs": [] }, { "id": "9.4", "source_parts": [ "9.4" ], "repairs": [] }, { "id": "9.5", "source_parts": [ "9.5" ], "repairs": [] }, { "id": "9.6", "source_parts": [ "9.6" ], "repairs": [] }, { "id": "9.7", "source_parts": [ "9.7" ], "repairs": [] }, { "id": "9.8", "source_parts": [ "9.8" ], "repairs": [] }, { "id": "10.1", "source_parts": [ "10.a", "10.b" ], "repairs": [] }, { "id": "11.a", "source_parts": [ "11.a" ], "repairs": [] }, { "id": "11.b", "source_parts": [ "11.b" ], "repairs": [] }, { "id": "11.c", "source_parts": [ "11.c" ], "repairs": [] }, { "id": "11.d", "source_parts": [ "11.d" ], "repairs": [] }, { "id": "11.e", "source_parts": [ "11.e" ], "repairs": [] }, { "id": "11.f", "source_parts": [ "11.f" ], "repairs": [] }, { "id": "12.a", "source_parts": [ "12.a" ], "repairs": [] }, { "id": "12.b", "source_parts": [ "12.b" ], "repairs": [] }, { "id": "12.c", "source_parts": [ "12.c" ], "repairs": [] }, { "id": "12.d", "source_parts": [ "12.d" ], "repairs": [] }, { "id": "12.e", "source_parts": [ "12.e" ], "repairs": [] }, { "id": "12.f", "source_parts": [ "12.f" ], "repairs": [] }, { "id": "13.a", "source_parts": [ "13.a" ], "repairs": [ "Specify homogeneous Poisson arrivals; average spacing alone is insufficient." ] }, { "id": "13.b", "source_parts": [ "13.b" ], "repairs": [] }, { "id": "13.c", "source_parts": [ "13.c" ], "repairs": [] }, { "id": "13.d", "source_parts": [ "13.d" ], "repairs": [] }, { "id": "13.e", "source_parts": [ "13.e" ], "repairs": [] }, { "id": "13.f", "source_parts": [ "13.f" ], "repairs": [] }, { "id": "13.g", "source_parts": [ "13.g" ], "repairs": [] }, { "id": "14.a", "source_parts": [ "14.a" ], "repairs": [] }, { "id": "14.b", "source_parts": [ "14.b" ], "repairs": [] }, { "id": "14.c", "source_parts": [ "14.c" ], "repairs": [] }, { "id": "14.d", "source_parts": [ "14.d" ], "repairs": [] }, { "id": "14.e", "source_parts": [ "14.e" ], "repairs": [] } ], "not_scored": [] }, "final_sp25": { "items": 107, "notes": [ "Exclude pledge. Course-context birthday warmup retained with its original cross-exam clue, separately tagged. Source drawing of the pepper chain visually checked on blank page 21. Tree drawings represented by edge sets. Geometric support uses trials 1,2,...; normal variance convention standard. Q13.1 clips the union bound at 1; Q13.5b/c correct an incomplete printed sharp lower bound by considering both B and its complement. Finite second moments and positive regression variance explicit. Some degenerate graph/algebra domains clarified." ], "included": [ { "id": "2.1", "source_parts": [ "2.1" ], "repairs": [] }, { "id": "3.1a", "source_parts": [ "3.1a" ], "repairs": [] }, { "id": "3.1b", "source_parts": [ "3.1b" ], "repairs": [] }, { "id": "3.1c", "source_parts": [ "3.1c" ], "repairs": [] }, { "id": "3.2ai", "source_parts": [ "3.2ai" ], "repairs": [] }, { "id": "3.2aii", "source_parts": [ "3.2aii" ], "repairs": [] }, { "id": "3.2aiii", "source_parts": [ "3.2aiii" ], "repairs": [] }, { "id": "3.2b", "source_parts": [ "3.2b" ], "repairs": [] }, { "id": "4.1", "source_parts": [ "4.1" ], "repairs": [] }, { "id": "4.2a", "source_parts": [ "4.2a" ], "repairs": [] }, { "id": "4.2b", "source_parts": [ "4.2b" ], "repairs": [] }, { "id": "4.2c", "source_parts": [ "4.2c" ], "repairs": [] }, { "id": "5.1", "source_parts": [ "5.1" ], "repairs": [ "Fix day-count convention; original grading accepted n and n\u22121." ] }, { "id": "5.2", "source_parts": [ "5.2" ], "repairs": [] }, { "id": "5.3", "source_parts": [ "5.3" ], "repairs": [] }, { "id": "5.4a", "source_parts": [ "5.4a" ], "repairs": [] }, { "id": "5.4b", "source_parts": [ "5.4b" ], "repairs": [] }, { "id": "6.1", "source_parts": [ "6.1" ], "repairs": [ "State connectedness required by the Euler formula used in the key." ] }, { "id": "6.2a", "source_parts": [ "6.2a" ], "repairs": [] }, { "id": "6.2b", "source_parts": [ "6.2b" ], "repairs": [ "Specify connected embedding and simple facial cycles, required for the source triangulation argument." ] }, { "id": "6.3", "source_parts": [ "6.3" ], "repairs": [] }, { "id": "6.4", "source_parts": [ "6.4" ], "repairs": [] }, { "id": "6.5", "source_parts": [ "6.5" ], "repairs": [ "Exclude the one-vertex tree." ] }, { "id": "6.6", "source_parts": [ "6.6" ], "repairs": [] }, { "id": "6.7", "source_parts": [ "6.7" ], "repairs": [] }, { "id": "6.8", "source_parts": [ "6.8" ], "repairs": [] }, { "id": "6.9a", "source_parts": [ "6.9a" ], "repairs": [ "Ask universal attainable bound; 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source unqualified union bound is not the lowest upper bound when a+b>1." ] }, { "id": "13.2", "source_parts": [ "13.2" ], "repairs": [] }, { "id": "13.3", "source_parts": [ "13.3" ], "repairs": [] }, { "id": "13.4", "source_parts": [ "13.4" ], "repairs": [] }, { "id": "13.5a", "source_parts": [ "13.5a" ], "repairs": [] }, { "id": "13.5b", "source_parts": [ "13.5b" ], "repairs": [ "Correct incomplete source lower bound: intersections forced outside B must also be counted." ] }, { "id": "13.5c", "source_parts": [ "13.5c" ], "repairs": [ "Extend source argument to cover the omitted complement region." ] }, { "id": "14.1", "source_parts": [ "14.1" ], "repairs": [] }, { "id": "14.2", "source_parts": [ "14.2" ], "repairs": [] }, { "id": "15.1", "source_parts": [ "15.1" ], "repairs": [] }, { "id": "15.2a", "source_parts": [ "15.2a" ], "repairs": [] }, { "id": "15.2b", "source_parts": [ "15.2b" ], "repairs": [] }, { "id": "16.1", "source_parts": [ "16.1" ], "repairs": [] }, { "id": "16.2", "source_parts": [ "16.2" ], "repairs": [] }, { "id": "16.3", "source_parts": [ "16.3" ], "repairs": [ "State independent sampling assumed in source solution." ] }, { "id": "17.1", "source_parts": [ "17.1" ], "repairs": [] }, { "id": "17.2a", "source_parts": [ "17.2a" ], "repairs": [] }, { "id": "17.2b", "source_parts": [ "17.2b" ], "repairs": [] }, { "id": "18.1", "source_parts": [ "18.1" ], "repairs": [] }, { "id": "18.2", "source_parts": [ "18.2" ], "repairs": [] }, { "id": "18.3", "source_parts": [ "18.3" ], "repairs": [] }, { "id": "18.4", "source_parts": [ "18.4" ], "repairs": [] }, { "id": "19.1", "source_parts": [ "19.1" ], "repairs": [] }, { "id": "19.2", "source_parts": [ "19.2" ], "repairs": [] }, { "id": "19.3", "source_parts": [ "19.3" ], "repairs": [] }, { "id": "19.4a", "source_parts": [ "19.4a" ], "repairs": [] }, { "id": "19.4b", "source_parts": [ "19.4b" ], "repairs": [] }, { "id": "19.4c", "source_parts": [ "19.4c" ], "repairs": [] }, { "id": "19.4d", "source_parts": [ "19.4d" ], "repairs": [] }, { "id": "20.1a", "source_parts": [ "20.1a" ], "repairs": [] }, { "id": "20.1b", "source_parts": [ "20.1b" ], "repairs": [] }, { "id": "20.1c", "source_parts": [ "20.1c" ], "repairs": [ "Conditioning event must have positive probability." ] }, { "id": "20.2a", "source_parts": [ "20.2a" ], "repairs": [] }, { "id": "20.2b", "source_parts": [ "20.2b" ], "repairs": [] }, { "id": "20.3a", "source_parts": [ "20.3a" ], "repairs": [] }, { "id": "20.3b", "source_parts": [ "20.3b" ], "repairs": [] }, { "id": "21.1a", "source_parts": [ "21.1a" ], "repairs": [] }, { "id": "21.1b", "source_parts": [ "21.1b" ], "repairs": [] }, { "id": "21.1c", "source_parts": [ "21.1c" ], "repairs": [] }, { "id": "21.2a", "source_parts": [ "21.2a" ], "repairs": [] }, { "id": "21.2b", "source_parts": [ "21.2b" ], "repairs": [] } ], "not_scored": [ { "source_part": "1", "status": "excluded", "reason": "Administrative pledge." } ] }, "final_su25": { "items": 91, "notes": [ "Exclude pledge Q1 and classroom self-reference Q2. Original page 11 complements and page 15 lattice diagram visually checked. Q8.1 fixes degree ambiguity to at most 3 (officially 100 and 125 both accepted). Q8.3a asks maximum supported message length. Q9.6 fixes starting checkpoint and distinguishes traversal directions. Q15 composite moment boxes scored jointly. Q16.2c no continuity correction, explicitly an approximation. Q18 requires independent arrivals. Finite second moments assumed in variance proof." ], "included": [ { "id": "3.1", "source_parts": [ "3.1" ], "repairs": [] }, { "id": "3.2", "source_parts": [ "3.2" ], "repairs": [] }, { "id": "3.3", "source_parts": [ "3.3" ], "repairs": [] }, { "id": "3.4", "source_parts": [ "3.4" ], "repairs": [] }, { "id": "3.5", "source_parts": [ "3.5" ], "repairs": [] }, { "id": "3.6", "source_parts": [ "3.6" ], "repairs": [] }, { "id": "4.1", "source_parts": [ "4.1" ], "repairs": [] }, { "id": "4.2", "source_parts": [ "4.2" ], "repairs": [] }, { "id": "5.1", "source_parts": [ "5.1" ], "repairs": [] }, { "id": "5.2", "source_parts": [ "5.2" ], "repairs": [] }, { "id": "5.3", "source_parts": [ "5.3" ], "repairs": [] }, { "id": "5.4a", "source_parts": [ "5.4a" ], "repairs": [ "Require positive dimension to exclude a single vertex." ] }, { "id": "5.4b", "source_parts": [ "5.4b" ], "repairs": [] }, { "id": "5.4c", "source_parts": [ "5.4c" ], "repairs": [] }, { "id": "6.1", "source_parts": [ "6.1" ], "repairs": [] }, { "id": "6.2", "source_parts": [ "6.2" ], "repairs": [] }, { "id": "6.3", "source_parts": [ "6.3" ], "repairs": [] }, { "id": "6.4", "source_parts": [ "6.4" ], "repairs": [] }, { "id": "7.1a", "source_parts": [ "7.1a" ], "repairs": [] }, { "id": "7.1b", "source_parts": [ "7.1b" ], "repairs": [] }, { "id": "7.2a", "source_parts": [ "7.2a" ], "repairs": [] }, { "id": "7.2b", "source_parts": [ "7.2b" ], "repairs": [] }, { "id": "7.3a", "source_parts": [ "7.3a" ], "repairs": [] }, { "id": "7.3b", "source_parts": [ "7.3b" ], "repairs": [] }, { "id": "8.1", "source_parts": [ "8.1" ], "repairs": [ "Resolve source degree ambiguity as at most three; original grading accepted both strict and non-strict interpretations." ] }, { "id": "8.2a", "source_parts": [ "8.2a" ], "repairs": [] }, { "id": "8.2b", "source_parts": [ "8.2b" ], "repairs": [] }, { "id": "8.3a", "source_parts": [ "8.3a" ], "repairs": [ "Ask maximum length; shorter messages also meet the stated guarantee." ] }, { "id": "8.3b", "source_parts": [ "8.3b" ], "repairs": [ "Specify minimal locator to exclude padding roots." ] }, { "id": "9.1", "source_parts": [ "9.1" ], "repairs": [] }, { "id": "9.2", "source_parts": [ "9.2" ], "repairs": [] }, { "id": "9.3", "source_parts": [ "9.3" ], "repairs": [] }, { "id": "9.4", "source_parts": [ "9.4" ], "repairs": [] }, { "id": "9.5", "source_parts": [ "9.5" ], "repairs": [] }, { "id": "9.6", "source_parts": [ "9.6" ], "repairs": [ "Fix the starting checkpoint and distinguish reverse traversal, matching the source\u2019s intended count." ] }, { "id": "9.7", "source_parts": [ "9.7" ], "repairs": [] }, { "id": "10.1", "source_parts": [ "10.1" ], "repairs": [] }, { "id": "10.2", "source_parts": [ "10.2" ], "repairs": [] }, { "id": "10.3", "source_parts": [ "10.3" ], "repairs": [] }, { "id": "10.4", "source_parts": [ "10.4" ], "repairs": [] }, { "id": "10.5", "source_parts": [ "10.5" ], "repairs": [] }, { "id": "10.6", "source_parts": [ "10.6" ], "repairs": [] }, { "id": "11.1", "source_parts": [ "11.1" ], "repairs": [] }, { "id": "11.2", "source_parts": [ "11.2" ], "repairs": [] }, { "id": "11.3", "source_parts": [ "11.3" ], "repairs": [] }, { "id": "11.4", "source_parts": [ "11.4" ], "repairs": [] }, { "id": "11.5", "source_parts": [ "11.5" ], "repairs": [] }, { "id": "11.6", "source_parts": [ "11.6" ], "repairs": [] }, { "id": "11.7", "source_parts": [ "11.7" ], "repairs": [] }, { "id": "12.1", "source_parts": [ "12.1" ], "repairs": [] }, { "id": "12.2a", "source_parts": [ "12.2a" ], "repairs": [] }, { "id": "12.2b", "source_parts": [ "12.2b" ], "repairs": [] }, { "id": "12.3", "source_parts": [ "12.3" ], "repairs": [] }, { "id": "13.1", "source_parts": [ "13.1" ], "repairs": [] }, { "id": "13.2", "source_parts": [ "13.2" ], "repairs": [] }, { "id": "13.3", "source_parts": [ "13.3" ], "repairs": [] }, { "id": "13.4a", "source_parts": [ "13.4a" ], "repairs": [] }, { "id": "13.4b", "source_parts": [ "13.4b" ], "repairs": [] }, { "id": "13.4c", "source_parts": [ "13.4c" ], "repairs": [] }, { "id": "13.4d", "source_parts": [ "13.4d" ], "repairs": [] }, { "id": "14.1", "source_parts": [ "14.1" ], "repairs": [] }, { "id": "14.2", "source_parts": [ "14.2" ], "repairs": [] }, { "id": "15.1a", "source_parts": [ "15.1a.EX", "15.1a.EY", "15.1a.VarY", "15.1a.Cov" ], "repairs": [] }, { "id": "15.1b", "source_parts": [ "15.1b" ], "repairs": [] }, { "id": "15.1c", "source_parts": [ "15.1c" ], "repairs": [] }, { "id": "15.1d", "source_parts": [ "15.1d.EX", "15.1d.EY", "15.1d.VarY", "15.1d.Cov" ], "repairs": [] }, { "id": "15.1e", "source_parts": [ "15.1e.EX", "15.1e.EY", "15.1e.VarY", "15.1e.Cov" ], "repairs": [] }, { "id": "16.1a", "source_parts": [ "16.1a" ], "repairs": [] }, { "id": "16.1b", "source_parts": [ "16.1b" ], "repairs": [] }, { "id": "16.1c", "source_parts": [ "16.1c" ], "repairs": [] }, { "id": "16.2a", "source_parts": [ "16.2a" ], "repairs": [] }, { "id": "16.2b", "source_parts": [ "16.2b" ], "repairs": [] }, { "id": "16.2c", "source_parts": [ "16.2c" ], "repairs": [ "Explicitly request no continuity correction; this is a tail approximation, not an exact probability." ] }, { "id": "17.1", "source_parts": [ "17.1" ], "repairs": [] }, { "id": "17.2", "source_parts": [ "17.2" ], "repairs": [] }, { "id": "17.3", "source_parts": [ "17.3.c", "17.3.expected" ], "repairs": [] }, { "id": "17.4", "source_parts": [ "17.4.c", "17.4.expected" ], "repairs": [] }, { "id": "17.5", "source_parts": [ "17.5" ], "repairs": [] }, { "id": "18.1a", "source_parts": [ "18.1a" ], "repairs": [ "State independence, required for the source formulas." ] }, { "id": "18.1b", "source_parts": [ "18.1b" ], "repairs": [] }, { "id": "18.1c", "source_parts": [ "18.1c" ], "repairs": [] }, { "id": "18.1d", "source_parts": [ "18.1d" ], "repairs": [] }, { "id": "18.2a", "source_parts": [ "18.2a" ], "repairs": [ "State independence explicitly." ] }, { "id": "18.2b", "source_parts": [ "18.2b" ], "repairs": [] }, { "id": "18.2c", "source_parts": [ "18.2c" ], "repairs": [] }, { "id": "19.1", "source_parts": [ "19.1" ], "repairs": [] }, { "id": "20.1", "source_parts": [ "20.1" ], "repairs": [] }, { "id": "20.2", "source_parts": [ "20.2" ], "repairs": [] }, { "id": "20.3", "source_parts": [ "20.3" ], "repairs": [] }, { "id": "20.4", "source_parts": [ "20.4" ], "repairs": [] }, { "id": "20.5", "source_parts": [ "20.5" ], "repairs": [] } ], "not_scored": [ { "source_part": "1", "status": "excluded", "reason": "Administrative pledge." }, { "source_part": "2", "status": "withheld", "reason": "Self-reference to unavailable classroom responses." } ] }, "midterm_fa23": { "items": 62, "notes": [ "Exclude pledge Q1. Withhold self-referential classroom-answer gcd warmup Q2 from mathematical benchmark. Q3 ratios require nonzero denominator. Q9.2c uses unit group of size q(q\u22121), not the whole residue set mistakenly referenced in solution prose. Q10.2 means for each fixed i a possibly different a exists; no single a\u22601 can satisfy every distinct prime exponent. Q10.3 uses the published corrected question, ungraded on original exam. Q12 division assumes dividend degree at least divisor degree. Grouped Q13 blanks use exact tuple scoring." ], "included": [ { "id": "3.1a", "source_parts": [ "3.1a" ], "repairs": [] }, { "id": "3.1b", "source_parts": [ "3.1b" ], "repairs": [] }, { "id": "3.2", "source_parts": [ "3.2" ], "repairs": [] }, { "id": "3.3", "source_parts": [ "3.3" ], "repairs": [] }, { "id": "3.4", "source_parts": [ "3.4" ], "repairs": [] }, { "id": "3.5", "source_parts": [ "3.5" ], "repairs": [] }, { "id": "4.1", "source_parts": [ "4.1" ], "repairs": [] }, { "id": "4.2", "source_parts": [ "4.2" ], "repairs": [] }, { "id": "4.3", "source_parts": [ "4.3" ], "repairs": [] }, { "id": "5.1", "source_parts": [ "5.1" ], "repairs": [] }, { "id": "5.2", "source_parts": [ "5.2" ], "repairs": [] }, { "id": "6.1", "source_parts": [ "6.1" ], "repairs": [] }, { "id": "6.2", "source_parts": [ "6.2" ], "repairs": [] }, { "id": "6.3", "source_parts": [ "6.3" ], "repairs": [] }, { "id": "6.4", "source_parts": [ "6.4" ], "repairs": [] }, { "id": "7.1", "source_parts": [ "7.1" ], "repairs": [] }, { "id": "7.2", "source_parts": [ "7.2" ], "repairs": [] }, { "id": "7.3a", "source_parts": [ "7.3a" ], "repairs": [] }, { "id": "7.3b", "source_parts": [ "7.3b" ], "repairs": [] }, { "id": "7.3c", "source_parts": [ "7.3c" ], "repairs": [] }, { "id": "7.4", "source_parts": [ "7.4" ], "repairs": [] }, { "id": "7.5", "source_parts": [ "7.5" ], "repairs": [] }, { "id": "7.6", "source_parts": [ "7.6" ], "repairs": [] }, { "id": "8.1a", "source_parts": [ "8.1a" ], "repairs": [] }, { "id": "8.1b", "source_parts": [ "8.1b" ], "repairs": [] }, { "id": "8.1c", "source_parts": [ "8.1c" ], "repairs": [] }, { "id": "8.1di", "source_parts": [ "8.1di" ], "repairs": [] }, { "id": "8.1dii", "source_parts": [ "8.1dii" ], "repairs": [] }, { "id": "8.1diii", "source_parts": [ "8.1diii" ], "repairs": [] }, { "id": "8.2", "source_parts": [ "8.2" ], "repairs": [] }, { "id": "9.1", "source_parts": [ "9.1" ], "repairs": [] }, { "id": "9.2a", "source_parts": [ "9.2a" ], "repairs": [] }, { "id": "9.2b", "source_parts": [ "9.2b" ], "repairs": [] }, { "id": "9.2c", "source_parts": [ "9.2c" ], "repairs": [ "Use an explicit exponent >1 and the correct unit-group cardinality." ] }, { "id": "9.3", "source_parts": [ "9.3" ], "repairs": [] }, { "id": "9.4a", "source_parts": [ "9.4a" ], "repairs": [] }, { "id": "9.4b", "source_parts": [ "9.4b" ], "repairs": [] }, { "id": "9.4c", "source_parts": [ "9.4c" ], "repairs": [] }, { "id": "9.5", "source_parts": [ "9.5" ], "repairs": [] }, { "id": "9.6a", "source_parts": [ "9.6a" ], "repairs": [ "Remove irrelevant x\u22600 restriction; original arbitrary a could otherwise exclude the purported first k." ] }, { "id": "9.6b", "source_parts": [ "9.6b" ], "repairs": [] }, { "id": "10.1", "source_parts": [ "10.1" ], "repairs": [ "Require n>=1; n=0 makes the claim false." ] }, { "id": "10.2", "source_parts": [ "10.2" ], "repairs": [ "Clarify quantifiers: a may depend on i." ] }, { "id": "10.3", "source_parts": [ "10.3" ], "repairs": [ "Use corrected published modulus p; original exam typo caused this part to be ungraded." ] }, { "id": "11.1", "source_parts": [ "11.1" ], "repairs": [] }, { "id": "12.1", "source_parts": [ "12.1" ], "repairs": [] }, { "id": "12.2a", "source_parts": [ "12.2a" ], "repairs": [] }, { "id": "12.2bi", "source_parts": [ "12.2bi" ], "repairs": [ "Specify dP>=dQ, required for the nonzero quotient degree formula." ] }, { "id": "12.2bii", "source_parts": [ "12.2bii" ], "repairs": [] }, { "id": "12.2biii", "source_parts": [ "12.2biii" ], "repairs": [] }, { "id": "12.2biv", "source_parts": [ "12.2biv" ], "repairs": [] }, { "id": "12.3a", "source_parts": [ "12.3a" ], "repairs": [] }, { "id": "12.3b", "source_parts": [ "12.3b" ], "repairs": [] }, { "id": "13.1", "source_parts": [ "13.1a", "13.1b", "13.1c", "13.1d", "13.1e", "13.1f", "13.1g", "13.1h" ], "repairs": [] }, { "id": "13.2", "source_parts": [ "13.2a", "13.2b", "13.2c", "13.2d", "13.2e", "13.2f" ], "repairs": [] }, { "id": "14.1", "source_parts": [ "14.1" ], "repairs": [] }, { "id": "14.2", "source_parts": [ "14.2" ], "repairs": [] }, { "id": "14.3", "source_parts": [ "14.3" ], "repairs": [] }, { "id": "14.4", "source_parts": [ "14.4" ], "repairs": [] }, { "id": "14.5", "source_parts": [ "14.5" ], "repairs": [] }, { "id": "14.6", "source_parts": [ "14.6" ], "repairs": [] }, { "id": "15.1", "source_parts": [ "15.1" ], "repairs": [] } ], "not_scored": [ { "source_part": "1", "status": "excluded", "reason": "Administrative pledge." }, { "source_part": "2", "status": "withheld", "reason": "Self-referential gcd of unavailable classroom answers." } ] }, "midterm_fa24": { "items": 72, "notes": [ "Q1 pledge excluded. Q2 self-referential student-answer conjunction is unresolved without actual class responses, so withheld rather than assuming a student answered False. Q7.1g assumes at least two vertices; Q7.5 makes n-vertex premise explicit. Q12.3 distinct abscissas and Q14.7 distinct roots explicit. All polynomials treated formally." ], "included": [ { "id": "3.1a", "source_parts": [ "3.1a" ], "repairs": [] }, { "id": "3.1b", "source_parts": [ "3.1b" ], "repairs": [] }, { "id": "3.1c", "source_parts": [ "3.1c" ], "repairs": [] }, { "id": "3.2a", "source_parts": [ "3.2a" ], "repairs": [] }, { "id": "3.2b", "source_parts": [ "3.2b" ], "repairs": [] }, { "id": "4.1", "source_parts": [ "4.1" ], "repairs": [] }, { "id": "4.2", "source_parts": [ "4.2" ], "repairs": [] }, { "id": "5.1", "source_parts": [ "5.1" ], "repairs": [] }, { "id": "6.1a", "source_parts": [ "6.1a" ], "repairs": [] }, { "id": "6.1b", "source_parts": [ "6.1b" ], "repairs": [] }, { "id": "6.1c", "source_parts": [ "6.1c" ], "repairs": [] }, { "id": "6.2", "source_parts": [ "6.2" ], "repairs": [] }, { "id": "6.3", "source_parts": [ "6.3" ], "repairs": [] }, { "id": "6.4", "source_parts": [ "6.4" ], "repairs": [] }, { "id": "6.5", "source_parts": [ "6.5" ], "repairs": [] }, { "id": "7.1a", "source_parts": [ "7.1a" ], "repairs": [] }, { "id": "7.1b", "source_parts": [ "7.1b" ], "repairs": [] }, { "id": "7.1c", "source_parts": [ "7.1c" ], "repairs": [] }, { "id": "7.1d", "source_parts": [ "7.1d" ], "repairs": [] }, { "id": "7.1e", "source_parts": [ "7.1e" ], "repairs": [] }, { "id": "7.1f", "source_parts": [ "7.1f" ], "repairs": [] }, { "id": "7.1g", "source_parts": [ "7.1g" ], "repairs": [ "Require at least two vertices to exclude the one-vertex tree." ] }, { "id": "7.1h", "source_parts": [ "7.1h" ], "repairs": [] }, { "id": "7.2", "source_parts": [ "7.2" ], "repairs": [] }, { "id": "7.3", "source_parts": [ "7.3" ], "repairs": [] }, { "id": "7.4", "source_parts": [ "7.4" ], "repairs": [] }, { "id": "7.5", "source_parts": [ "7.5" ], "repairs": [ "Make n-vertex premise explicit; source omitted it in the local sentence." ] }, { "id": "8.1", "source_parts": [ "8.1" ], "repairs": [] }, { "id": "8.2", "source_parts": [ "8.2" ], "repairs": [] }, { "id": "9.1a", "source_parts": [ "9.1a" ], "repairs": [] }, { "id": "9.1b", "source_parts": [ "9.1b" ], "repairs": [] }, { "id": "9.2a", "source_parts": [ "9.2a" ], "repairs": [] }, { "id": "9.2b", "source_parts": [ "9.2b" ], "repairs": [] }, { "id": "9.2c", "source_parts": [ "9.2c" ], "repairs": [] }, { "id": "10.1", "source_parts": [ "10.1" ], "repairs": [] }, { "id": "10.2", "source_parts": [ "10.2" ], "repairs": [] }, { "id": "10.3", "source_parts": [ "10.3" ], "repairs": [] }, { "id": "10.4", "source_parts": [ "10.4" ], "repairs": [] }, { "id": "11.1", "source_parts": [ "11.1" ], "repairs": [] }, { "id": "11.2", "source_parts": [ "11.2" ], "repairs": [] }, { "id": "11.3", "source_parts": [ "11.3" ], "repairs": [] }, { "id": "11.4", "source_parts": [ "11.4" ], "repairs": [] }, { "id": "11.5a", "source_parts": [ "11.5a" ], "repairs": [] }, { "id": "11.5b", "source_parts": [ "11.5b" ], "repairs": [] }, { "id": "11.5c", "source_parts": [ "11.5c" ], "repairs": [] }, { "id": "12.1", "source_parts": [ "12.1" ], "repairs": [] }, { "id": "12.2", "source_parts": [ "12.2a", "12.2b", "12.2c" ], "repairs": [] }, { "id": "12.3", "source_parts": [ "12.3" ], "repairs": [ "Specify distinct x-coordinates." ] }, { "id": "12.4a", "source_parts": [ "12.4a" ], "repairs": [] }, { "id": "12.4b", "source_parts": [ "12.4b" ], "repairs": [] }, { "id": "13.1a", "source_parts": [ "13.1a" ], "repairs": [] }, { "id": "13.1b", "source_parts": [ "13.1b" ], "repairs": [] }, { "id": "13.1c", "source_parts": [ "13.1c" ], "repairs": [] }, { "id": "13.2a", "source_parts": [ "13.2a" ], "repairs": [] }, { "id": "13.2bi", "source_parts": [ "13.2bi" ], "repairs": [] }, { "id": "13.2bii", "source_parts": [ "13.2bii" ], "repairs": [] }, { "id": "13.2biii", "source_parts": [ "13.2biii" ], "repairs": [] }, { "id": "14.1", "source_parts": [ "14.1" ], "repairs": [] }, { "id": "14.2", "source_parts": [ "14.2" ], "repairs": [] }, { "id": "14.3", "source_parts": [ "14.3" ], "repairs": [] }, { "id": "14.4", "source_parts": [ "14.4" ], "repairs": [] }, { "id": "14.5", "source_parts": [ "14.5" ], "repairs": [] }, { "id": "14.6", "source_parts": [ "14.6" ], "repairs": [] }, { "id": "14.7", "source_parts": [ "14.7" ], "repairs": [ "Require distinct roots so different exponent tuples give distinct formal polynomials." ] }, { "id": "15.1a", "source_parts": [ "15.1a" ], "repairs": [] }, { "id": "15.1b", "source_parts": [ "15.1b" ], "repairs": [] }, { "id": "15.2", "source_parts": [ "15.2" ], "repairs": [] }, { "id": "15.3a", "source_parts": [ "15.3a" ], "repairs": [] }, { "id": "15.3b", "source_parts": [ "15.3b" ], "repairs": [] }, { "id": "15.3c", "source_parts": [ "15.3c" ], "repairs": [] }, { "id": "15.4", "source_parts": [ "15.4" ], "repairs": [] }, { "id": "15.5", "source_parts": [ "15.5" ], "repairs": [] } ], "not_scored": [ { "source_part": "1", "status": "excluded", "reason": "Administrative pledge." }, { "source_part": "2", "status": "withheld", "reason": "Self-referential conjunction of unavailable classroom answers." } ] }, "midterm_fa25": { "items": 43, "notes": [ "Exclude Q13 ungraded drawing and administrative identification. Q6 numbering restarts: ids 6.4\u20136.6 denote the three later Euler subparts. Diagram transcribed from original page 8 and visually checked. Composite answers preserve the requested witness/proof." ], "included": [ { "id": "1.1", "source_parts": [ "1.1" ], "repairs": [] }, { "id": "1.2", "source_parts": [ "1.2" ], "repairs": [] }, { "id": "1.3", "source_parts": [ "1.3" ], "repairs": [] }, { "id": "2.1", "source_parts": [ "2.1" ], "repairs": [] }, { "id": "2.2", "source_parts": [ "2.2" ], "repairs": [] }, { "id": "2.3", "source_parts": [ "2.3" ], "repairs": [] }, { "id": "3.1", "source_parts": [ "3.1" ], "repairs": [] }, { "id": "3.2", "source_parts": [ "3.2" ], "repairs": [] }, { "id": "4.1a", "source_parts": [ "4.1a" ], "repairs": [] }, { "id": "4.1b", "source_parts": [ "4.1b" ], "repairs": [] }, { "id": "4.2", "source_parts": [ "4.2" ], "repairs": [] }, { "id": "4.3", "source_parts": [ "4.3" ], "repairs": [] }, { "id": "4.4", "source_parts": [ "4.4" ], "repairs": [] }, { "id": "5.1", "source_parts": [ "5.1" ], "repairs": [] }, { "id": "5.2", "source_parts": [ "5.2" ], "repairs": [] }, { "id": "5.3", "source_parts": [ "5.3" ], "repairs": [] }, { "id": "5.4", "source_parts": [ "5.4" ], "repairs": [] }, { "id": "6.1", "source_parts": [ "6.1" ], "repairs": [] }, { "id": "6.2", "source_parts": [ "6.2" ], "repairs": [] }, { "id": "6.3", "source_parts": [ "6.3" ], "repairs": [] }, { "id": "6.4", "source_parts": [ "6.Euler.1" ], "repairs": [] }, { "id": "6.5", "source_parts": [ "6.Euler.2" ], "repairs": [] }, { "id": "6.6", "source_parts": [ "6.Euler.3" ], "repairs": [] }, { "id": "7.1", "source_parts": [ "7.1" ], "repairs": [] }, { "id": "8.1", "source_parts": [ "8.1" ], "repairs": [] }, { "id": "8.2", "source_parts": [ "8.2" ], "repairs": [] }, { "id": "8.3", "source_parts": [ "8.3" ], "repairs": [] }, { "id": "8.4", "source_parts": [ "8.4" ], "repairs": [] }, { "id": "8.5", "source_parts": [ "8.5" ], "repairs": [] }, { "id": "8.6", "source_parts": [ "8.6" ], "repairs": [] }, { "id": "8.7", "source_parts": [ "8.7" ], "repairs": [] }, { "id": "9.1", "source_parts": [ "9.1" ], "repairs": [] }, { "id": "10.1a", "source_parts": [ "10.1a" ], "repairs": [] }, { "id": "10.1b", "source_parts": [ "10.1b" ], "repairs": [] }, { "id": "10.2", "source_parts": [ "10.2" ], "repairs": [] }, { "id": "10.3", "source_parts": [ "10.3" ], "repairs": [] }, { "id": "10.4", "source_parts": [ "10.4" ], "repairs": [ "Specify distinct x-coordinates, needed for independent constraints." ] }, { "id": "11.1", "source_parts": [ "11.1a", "11.1b", "11.1c", "11.1d", "11.1e" ], "repairs": [] }, { "id": "11.2", "source_parts": [ "11.2" ], "repairs": [] }, { "id": "12.1", "source_parts": [ "12.1" ], "repairs": [] }, { "id": "12.2", "source_parts": [ "12.2" ], "repairs": [] }, { "id": "12.3", "source_parts": [ "12.3" ], "repairs": [] }, { "id": "12.4", "source_parts": [ "12.4" ], "repairs": [] } ], "not_scored": [ { "source_part": "13", "status": "excluded", "reason": "Ungraded drawing; not a mathematical task." } ] }, "midterm_sp23": { "items": 68, "notes": [ "Exclude Q1 pledge and Q2 self-referential classroom product. Clarify nonempty logical domain, nonempty subset in pigeonhole proof, distinct primes/coordinates, minimal error locator. Q11.4 asks for a guaranteed divisor, not the invalid universal claim that pq is the largest possible. All repairs precede inference." ], "included": [ { "id": "3.1", "source_parts": [ "3.1" ], "repairs": [] }, { "id": "3.2", "source_parts": [ "3.2" ], "repairs": [] }, { "id": "3.3", "source_parts": [ "3.3" ], "repairs": [] }, { "id": "3.4a", "source_parts": [ "3.4a" ], "repairs": [] }, { "id": "3.4b", "source_parts": [ "3.4b" ], "repairs": [] }, { "id": "4.1", "source_parts": [ "4.1" ], "repairs": [] }, { "id": "4.2", "source_parts": [ "4.2" ], "repairs": [ "Require nonempty subset explicitly, as intended by the supplied proof." ] }, { "id": "5.1", "source_parts": [ "5.1" ], "repairs": [] }, { "id": "5.2", "source_parts": [ "5.2" ], "repairs": [] }, { "id": "6.1", "source_parts": [ "6.1" ], "repairs": [] }, { "id": "7.1", "source_parts": [ "7.1" ], "repairs": [] }, { "id": "7.2", "source_parts": [ "7.2" ], "repairs": [] }, { "id": "7.3", "source_parts": [ "7.3" ], "repairs": [] }, { "id": "7.4", "source_parts": [ "7.4" ], "repairs": [] }, { "id": "7.5", "source_parts": [ "7.5" ], "repairs": [] }, { "id": "8.1", "source_parts": [ "8.1" ], "repairs": [] }, { "id": "8.2", "source_parts": [ "8.2" ], "repairs": [] }, { "id": "8.3", "source_parts": [ "8.3" ], "repairs": [] }, { "id": "8.4", "source_parts": [ "8.4" ], "repairs": [] }, { "id": "8.5a", "source_parts": [ "8.5a" ], "repairs": [] }, { "id": "8.5b", "source_parts": [ "8.5b" ], "repairs": [] }, { "id": "8.5c", "source_parts": [ "8.5c" ], "repairs": [] }, { "id": "8.5d", "source_parts": [ "8.5d" ], "repairs": [] }, { "id": "8.6", "source_parts": [ "8.6" ], "repairs": [] }, { "id": "8.7", "source_parts": [ "8.7" ], "repairs": [] }, { "id": "8.8", "source_parts": [ "8.8" ], "repairs": [] }, { "id": "8.9", "source_parts": [ "8.9" ], "repairs": [] }, { "id": "9.1a", "source_parts": [ "9.1a" ], "repairs": [] }, { "id": "9.1b", "source_parts": [ "9.1b" ], "repairs": [] }, { "id": "9.2a", "source_parts": [ "9.2a" ], "repairs": [] }, { "id": "9.2b", "source_parts": [ "9.2b" ], "repairs": [] }, { "id": "9.3", "source_parts": [ "9.3" ], "repairs": [] }, { "id": "10.1", "source_parts": [ "10.1" ], "repairs": [] }, { "id": "10.2", "source_parts": [ "10.2" ], "repairs": [] }, { "id": "10.3a", "source_parts": [ "10.3a" ], "repairs": [] }, { "id": "10.3b", "source_parts": [ "10.3b" ], "repairs": [] }, { "id": "10.4", "source_parts": [ "10.4" ], "repairs": [] }, { "id": "10.5", "source_parts": [ "10.5" ], "repairs": [ "Specify finite residue domain and distinct primes." ] }, { "id": "11.1", "source_parts": [ "11.1" ], "repairs": [] }, { "id": "11.2a", "source_parts": [ "11.2a" ], "repairs": [] }, { "id": "11.2b", "source_parts": [ "11.2b" ], "repairs": [] }, { "id": "11.3", "source_parts": [ "11.3" ], "repairs": [] }, { "id": "11.4", "source_parts": [ "11.4" ], "repairs": [ "Ask guaranteed divisor among alternatives. Original largest-divisor wording can fail: e.g. p=3,q=5 gives an extra universal factor 2." ] }, { "id": "11.5a", "source_parts": [ "11.5a" ], "repairs": [] }, { "id": "11.5b", "source_parts": [ "11.5b" ], "repairs": [] }, { "id": "12.1", "source_parts": [ "12.1" ], "repairs": [] }, { "id": "12.2", "source_parts": [ "12.2" ], "repairs": [] }, { "id": "12.3", "source_parts": [ "12.3" ], "repairs": [] }, { "id": "13.1", "source_parts": [ "13.1" ], "repairs": [] }, { "id": "13.2", "source_parts": [ "13.2" ], "repairs": [ "Distinct x-coordinates explicitly required." ] }, { "id": "13.3a", "source_parts": [ "13.3a" ], "repairs": [] }, { "id": "13.3bi", "source_parts": [ "13.3bi" ], "repairs": [] }, { "id": "13.3bii", "source_parts": [ "13.3bii" ], "repairs": [] }, { "id": "13.3c", "source_parts": [ "13.3c" ], "repairs": [] }, { "id": "14.1", "source_parts": [ "14.1" ], "repairs": [] }, { "id": "14.2", "source_parts": [ "14.2" ], "repairs": [ "Specify minimal error locator, excluding arbitrary extra roots from padding." ] }, { "id": "14.3", "source_parts": [ "14.3" ], "repairs": [] }, { "id": "14.4", "source_parts": [ "14.4" ], "repairs": [] }, { "id": "15.1", "source_parts": [ "15.1" ], "repairs": [] }, { "id": "15.2", "source_parts": [ "15.2" ], "repairs": [] }, { "id": "15.3a", "source_parts": [ "15.3a" ], "repairs": [] }, { "id": "15.3b", "source_parts": [ "15.3b" ], "repairs": [] }, { "id": "16.1", "source_parts": [ "16.1" ], "repairs": [] }, { "id": "16.2", "source_parts": [ "16.2" ], "repairs": [] }, { "id": "16.3", "source_parts": [ "16.3" ], "repairs": [] }, { "id": "16.4", "source_parts": [ "16.4" ], "repairs": [] }, { "id": "16.5a", "source_parts": [ "16.5a" ], "repairs": [] }, { "id": "16.5b", "source_parts": [ "16.5b" ], "repairs": [] } ], "not_scored": [ { "source_part": "1", "status": "excluded", "reason": "Administrative pledge." }, { "source_part": "2", "status": "withheld", "reason": "Self-referential product of unavailable classroom answers." } ] }, "midterm_sp24": { "items": 42, "notes": [ "Graphs on blank exam page 7 visually transcribed. Native 5-option Q1 and 6-option Q4c preserved. Q5 combines selected proof line with requested explanation. Q9 uses degree at most two, allows hint coordinates 0 and 1 as later subparts do, and excludes physical treasure-location queries in error detection. Q9e repeats original hints, never the solved polynomial." ], "included": [ { "id": "1.1", "source_parts": [ "1.1" ], "repairs": [] }, { "id": "2.1", "source_parts": [ "2.1" ], "repairs": [] }, { "id": "2.2", "source_parts": [ "2.2" ], "repairs": [] }, { "id": "2.3", "source_parts": [ "2.3" ], "repairs": [] }, { "id": "2.4", "source_parts": [ "2.4" ], "repairs": [] }, { "id": "2.5", "source_parts": [ "2.5" ], "repairs": [] }, { "id": "2.6", "source_parts": [ "2.6" ], "repairs": [] }, { "id": "3.1", "source_parts": [ "3.1" ], "repairs": [] }, { "id": "3.2", "source_parts": [ "3.2" ], "repairs": [] }, { "id": "3.3", "source_parts": [ "3.3" ], "repairs": [] }, { "id": "3.4", "source_parts": [ "3.4" ], "repairs": [] }, { "id": "3.5", "source_parts": [ "3.5" ], "repairs": [] }, { "id": "4.a", "source_parts": [ "4.a" ], "repairs": [] }, { "id": "4.b", "source_parts": [ "4.b" ], "repairs": [] }, { "id": "4.c", "source_parts": [ "4.c" ], "repairs": [] }, { "id": "4.d", "source_parts": [ "4.d" ], "repairs": [] }, { "id": "5.a", "source_parts": [ "5.a" ], "repairs": [] }, { "id": "5.b", "source_parts": [ "5.b" ], "repairs": [] }, { "id": "6.a", "source_parts": [ "6.a" ], "repairs": [] }, { "id": "6.b", "source_parts": [ "6.b" ], "repairs": [] }, { "id": "7.a", "source_parts": [ "7.a" ], "repairs": [] }, { "id": "7.b", "source_parts": [ "7.b" ], "repairs": [] }, { "id": "7.c", "source_parts": [ "7.c" ], "repairs": [] }, { "id": "7.d", "source_parts": [ "7.d" ], "repairs": [] }, { "id": "8.ai", "source_parts": [ "8.ai" ], "repairs": [] }, { "id": "8.aii", "source_parts": [ "8.aii" ], "repairs": [] }, { "id": "8.aiii", "source_parts": [ "8.aiii" ], "repairs": [] }, { "id": "8.aiv", "source_parts": [ "8.aiv" ], "repairs": [] }, { "id": "8.av", "source_parts": [ "8.av" ], "repairs": [] }, { "id": "8.avi", "source_parts": [ "8.avi" ], "repairs": [] }, { "id": "8.b", "source_parts": [ "8.b" ], "repairs": [] }, { "id": "9.a", "source_parts": [ "9.a" ], "repairs": [ "Use degree at most 2 to match the source\u2019s interpolation/counting convention." ] }, { "id": "9.b", "source_parts": [ "9.b" ], "repairs": [] }, { "id": "9.c", "source_parts": [ "9.c" ], "repairs": [] }, { "id": "9.d", "source_parts": [ "9.d" ], "repairs": [ "Allow coordinates 0 and 1, used by source despite its earlier k>=2 restriction." ] }, { "id": "9.e", "source_parts": [ "9.e" ], "repairs": [] }, { "id": "9.f", "source_parts": [ "9.f" ], "repairs": [ "Disallow physical location checks; source accepted an alternative three-hint strategy using extra observations." ] }, { "id": "9.g", "source_parts": [ "9.g" ], "repairs": [] }, { "id": "10.a", "source_parts": [ "10.a" ], "repairs": [] }, { "id": "10.b", "source_parts": [ "10.b" ], "repairs": [] }, { "id": "10.c", "source_parts": [ "10.c" ], "repairs": [] }, { "id": "10.d", "source_parts": [ "10.d" ], "repairs": [] } ], "not_scored": [] }, "midterm_sp25": { "items": 62, "notes": [ "Exclude Q1 pledge. Retain the non-mathematical TA warmup, with the original cross-question clue supplied; analyze separately from mathematics. Girth bound assumes a cycle exists. Q9.6c uses residue classes, avoiding the printed range excluding zero. Necklace equivalence is rotation only. Diagram-free exam." ], "included": [ { "id": "2.1", "source_parts": [ "2.1" ], "repairs": [ "Supply original Q9.3 cross-question clue to avoid testing unavailable course attendance context." ] }, { "id": "3.1a", "source_parts": [ "3.1a" ], "repairs": [] }, { "id": "3.1b", "source_parts": [ "3.1b" ], "repairs": [] }, { "id": "3.1c", "source_parts": [ "3.1c" ], "repairs": [] }, { "id": "3.1d", "source_parts": [ "3.1d" ], "repairs": [] }, { "id": "3.2a", "source_parts": [ "3.2a" ], "repairs": [] }, { "id": "3.2b", "source_parts": [ "3.2b" ], "repairs": [] }, { "id": "3.2c", "source_parts": [ "3.2c" ], "repairs": [] }, { "id": "3.2d", "source_parts": [ "3.2d" ], "repairs": [] }, { "id": "4.1", "source_parts": [ "4.1" ], "repairs": [] }, { "id": "4.2", "source_parts": [ "4.2" ], "repairs": [ "Use the intended common-gcd definition explicitly, consistent with the official grading note." ] }, { "id": "5.1", "source_parts": [ "5.1" ], "repairs": [] }, { "id": "6.1", "source_parts": [ "6.1" ], "repairs": [] }, { "id": "6.2", "source_parts": [ "6.2" ], "repairs": [] }, { "id": "6.3", "source_parts": [ "6.3" ], "repairs": [] }, { "id": "6.4", "source_parts": [ "6.4" ], "repairs": [] }, { "id": "6.5a", "source_parts": [ "6.5a" ], "repairs": [] }, { "id": "6.5b", "source_parts": [ "6.5b" ], "repairs": [] }, { "id": "6.5c", "source_parts": [ "6.5c" ], "repairs": [] }, { "id": "7.1a", "source_parts": [ "7.1a" ], "repairs": [] }, { "id": "7.1b", "source_parts": [ "7.1b" ], "repairs": [ "Require a cycle; without it a tiny tree can violate the stated girth bound for arbitrarily large g." ] }, { "id": "7.1c", "source_parts": [ "7.1c" ], "repairs": [] }, { "id": "7.2a", "source_parts": [ "7.2a" ], "repairs": [] }, { "id": "7.2b", "source_parts": [ "7.2b" ], "repairs": [] }, { "id": "7.3a", "source_parts": [ "7.3a" ], "repairs": [] }, { "id": "7.3b", "source_parts": [ "7.3b" ], "repairs": [] }, { "id": "7.3c", "source_parts": [ "7.3c" ], "repairs": [] }, { "id": "7.3d", "source_parts": [ "7.3d" ], "repairs": [] }, { "id": "7.3e", "source_parts": [ "7.3e" ], "repairs": [] }, { "id": "7.3f", "source_parts": [ "7.3f" ], "repairs": [] }, { "id": "7.3g", "source_parts": [ "7.3g" ], "repairs": [] }, { "id": "8.1", "source_parts": [ "8.1" ], "repairs": [] }, { "id": "9.1", "source_parts": [ "9.1" ], "repairs": [] }, { "id": "9.2", "source_parts": [ "9.2" ], "repairs": [] }, { "id": "9.3", "source_parts": [ "9.3" ], "repairs": [] }, { "id": "9.4", "source_parts": [ "9.4" ], "repairs": [] }, { "id": "9.5a", "source_parts": [ "9.5a" ], "repairs": [] }, { "id": "9.5b", "source_parts": [ "9.5b" ], "repairs": [] }, { "id": "9.5c", "source_parts": [ "9.5c" ], "repairs": [] }, { "id": "9.6a", "source_parts": [ "9.6a" ], "repairs": [] }, { "id": "9.6b", "source_parts": [ "9.6b" ], "repairs": [ "State a nonzero explicitly, needed for Fermat exponent reduction." ] }, { "id": "9.6c", "source_parts": [ "9.6c" ], "repairs": [] }, { "id": "9.6d", "source_parts": [ "9.6d" ], "repairs": [] }, { "id": "9.6e", "source_parts": [ "9.6e" ], "repairs": [] }, { "id": "10.1", "source_parts": [ "10.1a", "10.1b", "10.1c" ], "repairs": [] }, { "id": "10.2a", "source_parts": [ "10.2a" ], "repairs": [] }, { "id": "10.2b", "source_parts": [ "10.2b" ], "repairs": [] }, { "id": "10.3", "source_parts": [ "10.3" ], "repairs": [] }, { "id": "10.4a", "source_parts": [ "10.4a" ], "repairs": [ "Quantify sufficiently large prime as p>2d to permit disjoint root sets." ] }, { "id": "10.4b", "source_parts": [ "10.4b" ], "repairs": [] }, { "id": "10.4c", "source_parts": [ "10.4c" ], "repairs": [] }, { "id": "10.4d", "source_parts": [ "10.4d" ], "repairs": [] }, { "id": "10.5", "source_parts": [ "10.5" ], "repairs": [] }, { "id": "10.6a", "source_parts": [ "10.6a" ], "repairs": [] }, { "id": "10.6b", "source_parts": [ "10.6b" ], "repairs": [] }, { "id": "11.1", "source_parts": [ "11.1" ], "repairs": [] }, { "id": "12.1", "source_parts": [ "12.1" ], "repairs": [] }, { "id": "12.2", "source_parts": [ "12.2" ], "repairs": [] }, { "id": "12.3", "source_parts": [ "12.3" ], "repairs": [] }, { "id": "12.4", "source_parts": [ "12.4" ], "repairs": [] }, { "id": "12.5", "source_parts": [ "12.5" ], "repairs": [] }, { "id": "12.6", "source_parts": [ "12.6" ], "repairs": [ "Explicitly identify rotations only, consistent with the source answer." ] } ], "not_scored": [ { "source_part": "1", "status": "excluded", "reason": "Administrative pledge." } ] }, "midterm_su25": { "items": 71, "notes": [ "Exclude Q1 pledge. Correct official recurrence arithmetic: S3=9,S4=14,S5=25,S6=57; requested bound c=1 is unchanged. RSA smallest exponent explicitly requires e>1. Polynomial minimum questions explicitly assume equal degrees to repair the printed answer. Error locator uses the minimal locator; packet rate ignores integrality as a rate bound. These repairs precede inference." ], "included": [ { "id": "2.1a", "source_parts": [ "2.1a" ], "repairs": [] }, { "id": "2.1b", "source_parts": [ "2.1b" ], "repairs": [] }, { "id": "2.1c", "source_parts": [ "2.1c" ], "repairs": [] }, { "id": "2.1d", "source_parts": [ "2.1d" ], "repairs": [] }, { "id": "2.2a", "source_parts": [ "2.2a" ], "repairs": [] }, { "id": "2.2b", "source_parts": [ "2.2b" ], "repairs": [] }, { "id": "2.3", "source_parts": [ "2.3" ], "repairs": [] }, { "id": "3.1", "source_parts": [ "3.1" ], "repairs": [] }, { "id": "3.2a", "source_parts": [ "3.2a" ], "repairs": [] }, { "id": "3.2b", "source_parts": [ "3.2b" ], "repairs": [] }, { "id": "4.1a", "source_parts": [ "4.1a" ], "repairs": [] }, { "id": "4.1b", "source_parts": [ "4.1b" ], "repairs": [] }, { "id": "4.1c", "source_parts": [ "4.1c" ], "repairs": [ "Official intermediate terms miscomputed; reference bound remains 1." ] }, { "id": "4.2", "source_parts": [ "4.2" ], "repairs": [] }, { "id": "5.1a", "source_parts": [ "5.1a" ], "repairs": [] }, { "id": "5.1b", "source_parts": [ "5.1b" ], "repairs": [] }, { "id": "5.1c", "source_parts": [ "5.1c" ], "repairs": [] }, { "id": "5.2", "source_parts": [ "5.2" ], "repairs": [] }, { "id": "5.3", "source_parts": [ "5.3" ], "repairs": [] }, { "id": "5.4", "source_parts": [ "5.4" ], "repairs": [] }, { "id": "5.5", "source_parts": [ "5.5" ], "repairs": [] }, { "id": "5.6", "source_parts": [ "5.6" ], "repairs": [] }, { "id": "5.7", "source_parts": [ "5.7" ], "repairs": [] }, { "id": "6.1a", "source_parts": [ "6.1a" ], "repairs": [] }, { "id": "6.1b", "source_parts": [ "6.1b" ], "repairs": [] }, { "id": "6.1c", "source_parts": [ "6.1c" ], "repairs": [] }, { "id": "6.1d", "source_parts": [ "6.1d" ], "repairs": [] }, { "id": "6.1e", "source_parts": [ "6.1e" ], "repairs": [] }, { "id": "6.1f", "source_parts": [ "6.1f" ], "repairs": [] }, { "id": "6.2", "source_parts": [ "6.2" ], "repairs": [] }, { "id": "6.3a", "source_parts": [ "6.3a" ], "repairs": [] }, { "id": "6.3b", "source_parts": [ "6.3b" ], "repairs": [] }, { "id": "6.4a", "source_parts": [ "6.4a" ], "repairs": [] }, { "id": "6.4b", "source_parts": [ "6.4b" ], "repairs": [] }, { "id": "6.5", "source_parts": [ "6.5" ], "repairs": [] }, { "id": "7.1", "source_parts": [ "7.1" ], "repairs": [] }, { "id": "7.2", "source_parts": [ "7.2" ], "repairs": [] }, { "id": "8.1", "source_parts": [ "8.1" ], "repairs": [] }, { "id": "8.2", "source_parts": [ "8.2" ], "repairs": [] }, { "id": "8.3", "source_parts": [ "8.3" ], "repairs": [] }, { "id": "8.4", "source_parts": [ "8.4" ], "repairs": [] }, { "id": "8.5", "source_parts": [ "8.5" ], "repairs": [] }, { "id": "8.6", "source_parts": [ "8.6" ], "repairs": [] }, { "id": "8.7", "source_parts": [ "8.7" ], "repairs": [] }, { "id": "8.8a", "source_parts": [ "8.8a" ], "repairs": [ "Require e>1 explicitly; without it, exponent 1 is mathematically invertible." ] }, { "id": "8.8b", "source_parts": [ "8.8b" ], "repairs": [] }, { "id": "9.1", "source_parts": [ "9.1" ], "repairs": [] }, { "id": "9.2", "source_parts": [ "9.2" ], "repairs": [] }, { "id": "9.3a", "source_parts": [ "9.3a" ], "repairs": [] }, { "id": "9.3b", "source_parts": [ "9.3b" ], "repairs": [] }, { "id": "9.3c", "source_parts": [ "9.3c" ], "repairs": [] }, { "id": "9.3d", "source_parts": [ "9.3d" ], "repairs": [] }, { "id": "10.1a", "source_parts": [ "10.1a" ], "repairs": [] }, { "id": "10.1b", "source_parts": [ "10.1b" ], "repairs": [ "Equal degrees added: with unequal degrees the printed reference 0 is false." ] }, { "id": "10.1c", "source_parts": [ "10.1c" ], "repairs": [] }, { "id": "10.1d", "source_parts": [ "10.1d" ], "repairs": [ "Equal degrees added: degree-one versus constant polynomials necessarily agree once." ] }, { "id": "10.2a", "source_parts": [ "10.2a" ], "repairs": [] }, { "id": "10.2b", "source_parts": [ "10.2b" ], "repairs": [] }, { "id": "10.2c", "source_parts": [ "10.2c" ], "repairs": [] }, { "id": "10.3", "source_parts": [ "10.3" ], "repairs": [] }, { "id": "11.1a", "source_parts": [ "11.1a" ], "repairs": [] }, { "id": "11.1b", "source_parts": [ "11.1b" ], "repairs": [] }, { "id": "11.1c", "source_parts": [ "11.1c" ], "repairs": [ "Specify minimal locator; padded Berlekamp\u2013Welch locators need not have exactly the actual error count as degree." ] }, { "id": "11.1d", "source_parts": [ "11.1d" ], "repairs": [ "Specify minimal locator rather than a padded degree-k locator." ] }, { "id": "11.2", "source_parts": [ "11.2" ], "repairs": [ "Continuous rate bound; floor-dependent finite block rounding is not being tested." ] }, { "id": "12.1", "source_parts": [ "12.1" ], "repairs": [] }, { "id": "12.2", "source_parts": [ "12.2" ], "repairs": [] }, { "id": "12.3", "source_parts": [ "12.3" ], "repairs": [] }, { "id": "12.4", "source_parts": [ "12.4" ], "repairs": [] }, { "id": "12.5", "source_parts": [ "12.5" ], "repairs": [] }, { "id": "12.6", "source_parts": [ "12.6" ], "repairs": [] } ], "not_scored": [ { "source_part": "1", "status": "excluded", "reason": "Administrative pledge." } ] } }