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"cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q05", "number": 5, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "담보는 거래 대상의 값어치를 보장한다는 뜻이다. 교환 대상의 값어치가 같아야 계약이 체결된다는 설명은 없다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q06", "number": 6, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "보증의 대가를 지급하는 주채무자는 채권자와 보증인 사이에 체결되는 보증 계약의 당사자가 아니다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q07", "number": 7, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "보증은 담보 기능을 수행하므로 주채무가 이행되어 소멸하면 보증 채무도 소멸한다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q08", "number": 8, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "연대 보증 특약이 없다면, 병은 을에게 강제 집행 대상 재산이 있음을 증명하여 보증 채무의 이행을 거절할 수 있다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q09", "number": 9, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "‘규정하고’는 내용을 정하여 명시한다는 뜻이므로, 잘못을 고친다는 뜻의 ‘바로잡고’로 바꿀 수 없다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q10", "number": 10, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 4, "status": "correct", "answer": 5, "explanation": "띠의 두께가 얇을수록 반응 완료 시간이 짧아져 휨이 빨리 완료된다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q11", "number": 11, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "온도를 내리면 선형 열팽창 계수가 큰 물질이 더 많이 수축하므로 그 물질 쪽으로 휜다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q12", "number": 12, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "온도 변화량이 커지면 두 띠 모두 더 심하게 휘므로 최대 이동 거리에 도달했을 때의 곡률도 커진다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q13", "number": 13, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "ⓐ는 계산이나 실험으로 값을 얻는 의미이고, ⓑ는 원래의 상태나 장소로 돌아오는 의미이다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q14", "number": 14, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "롱게네스는 자율적인 선택을 하려면 신체가 있고 살아 있어야 한다고 본다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q15", "number": 15, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "[A]는 두 전제의 ‘의식’이 실재성을 함의하는 방식이 서로 달라 결론이 도출되지 않는다고 설명한다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q16", "number": 16, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "스트로슨은 자아에 대한 인식과 자기의식이 경험에 의존한다고 본다. 선택지는 의존 관계를 반대로 서술했다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q17", "number": 17, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "칸트 이전의 유력한 견해는 ‘생각하는 나’인 영혼의 지속으로 인격의 동일성을 설명하므로 갑의 주장을 받아들이지 않는다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q18", "number": 18, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "자라는 호랑이가 자신을 ‘산중 지키는 중 생원’이라고 밝힌 뒤에 자신의 정체를 밝혔다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q19", "number": 19, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 7, "status": "incorrect", "answer": 5, "explanation": "산중에서는 자라의 호칭을 통해 호랑이의 지위가 확인되고, 고개에서는 호랑이가 다른 존재와 비교하며 자신의 위험을 부정한다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q20", "number": 20, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "ⓒ의 자라와 ⓕ의 호랑이는 각각 상대의 말이나 행동으로 생긴 위기 상황에서 놀라는 반응을 보인다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q21", "number": 21, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "자라가 ‘동의보감’을 떠올리는 것은 위기를 벗어나기 위한 대응이다. 명예욕을 숨기는 위선에 대한 비판으로 보기 어렵다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q22", "number": 22, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "(나)와 (다)는 ‘끝났기로서니’, ‘좋아하면’ 등의 가정적 표현으로 대상의 속성을 드러낸다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q23", "number": 23, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "발자국 소리가 들리지 않는다는 표현은 부재와 암울함을 나타낸다. 감시자의 눈을 피해 다닌다는 내용은 없다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q24", "number": 24, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "incorrect", "answer": 3, "explanation": "잊혀진 목소리가 다른 목소리의 끝을 찾아든다는 표현을 그 끝에 닿지 못한 상태로 해석할 수 없다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q25", "number": 25, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "correct", "answer": 4, "explanation": "흰 구름과 장대비를 겪는 과정은 감이 익어 가는 과정과 연결되어 의미 있는 경험으로 제시된다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q26", "number": 26, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 9, "status": "correct", "answer": 2, "explanation": "‘좋은 소리’는 듣기 좋고 글로 쓰이며 도리에 합당한 소리이다. 상반된 특성들의 균형을 뜻하지 않는다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q27", "number": 27, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "허명두는 온 씨에게 맞서 질문하고 위협을 받아친다. 관심을 다른 곳으로 돌리는 데 성공한 모습은 없다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q28", "number": 28, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "incorrect", "answer": 2, "explanation": "외부 기업의 주택 매입 소문을 듣고 온 씨가 허명두를 찾아왔으므로, 대화 내용이 퍼진 ⓐ가 ⓑ보다 나중이다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q29", "number": 29, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 11, "status": "incorrect", "answer": 3, "explanation": "주민들은 농사를 통해 자립의 터전을 마련했지만, 경제적으로 부족한 부분이 있어 관광지 개발의 실리를 고려한다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q30", "number": 30, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 11, "status": "correct", "answer": 3, "explanation": "허명두는 외부 자본이 주민의 안정을 위협한다는 온 씨의 생각을 인정한다. 변화의 원인을 달리 본다는 설명은 맞지 않는다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q31", "number": 31, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 12, "status": "correct", "answer": 2, "explanation": "(가)는 유사한 문장 구조를 짝지으면서 추위와 더운 방, 위엄과 우스운 몰골 등을 대비하여 괴로운 처지를 드러낸다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q32", "number": 32, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 12, "status": "correct", "answer": 4, "explanation": "이 부사는 보고를 통해 화자의 방문을 알았다. 옛 인연으로 화자를 알아보았다는 설명은 근거가 없다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q33", "number": 33, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 12, "status": "correct", "answer": 1, "explanation": "ⓐ는 여러 시름을 적어 실을 끝까지 풀고 멀리 떠나보내는 방패연이다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q34", "number": 34, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 12, "status": "correct", "answer": 3, "explanation": "(다)의 화자는 연줄을 길게 대어 먼 곳의 임을 ‘낚아’ 오려 한다. 자신이 임에게 가려 한다는 해석은 맞지 않는다.", "abstain_reason": null, "time_seconds": 11.184117647058823, "usage": { "input_tokens": 1449.9117647058824, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 266.02941176470586, "reasoning_output_tokens": 202.14705882352942 }, "estimated_cost_usd": 0.005560117647058823, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q35", "number": 35, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 13, "status": "correct", "answer": 2, "explanation": "전문가의 견해를 인용한 부분은 없다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q36", "number": 36, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 13, "status": "correct", "answer": 5, "explanation": "[자료 3]은 북방계 식물의 희귀 식물 해당 여부를 보여 주며, ㉢에서 활용되었다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q37", "number": 37, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "학생 3은 보고서 작성에 도움이 된다는 점에서 발표 정보의 유용성을 평가한다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q38", "number": 38, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "(가)의 진행자와 (나)의 학생 1 모두 나머지 두 참여자에게 발언을 요청한다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q39", "number": 39, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "㉡은 상대의 발언이 아니라 방송을 보고 몰랐던 사실을 체감했음을 드러낸다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q40", "number": 40, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "학생 3의 경제적 안정에 관한 의견은 (다)에서 부정적 관점을 반박하는 근거로 사용된다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q41", "number": 41, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "영상 제작과 웹툰 창작에 미치는 영향을 구분하고, 두 산업의 수익성도 설명한다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q42", "number": 42, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "창의적 각색을 위한 노력은 초고에도 있다. 새로 추가한 것은 질 좋은 웹툰 창작을 위한 노력이다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q43", "number": 43, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 16, "status": "correct", "answer": 3, "explanation": "불안을 명시하고, 자기 수용이라는 태도와 심리적 안정이라는 긍정적 변화를 제시한다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q44", "number": 44, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 16, "status": "correct", "answer": 2, "explanation": "초고는 완벽주의적 자기 제시 성향의 문제점을 설명하지만 장점은 설명하지 않는다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q45", "number": 45, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 16, "status": "correct", "answer": 5, "explanation": "ㄱ-2와 ㄴ은 불안이 정서 조절의 실패에서 비롯되었다는 근거를 제공하지 않는다.", "abstain_reason": null, "time_seconds": 8.617181818181818, "usage": { "input_tokens": 2237.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 225.72727272727272, "reasoning_output_tokens": 166.9090909090909 }, "estimated_cost_usd": 0.006731454545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q35", "number": 35, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "두 소리의 연쇄를 나타내는 합용 병서는 24자 외의 자모이다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q36", "number": 36, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 17, "status": "correct", "answer": 2, "explanation": "합용 병서에서 된소리를 나타내는 부분은 현대의 ‘ㄸ’과 형식은 다르지만 내용은 같다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q37", "number": 37, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 17, "status": "correct", "answer": 4, "explanation": "‘온갖’은 관형사이고 ‘-시-’는 높임을 나타낸다. ‘길어지다’는 한 자리, ‘하다’는 두 자리 서술어이다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q38", "number": 38, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 18, "status": "correct", "answer": 4, "explanation": "두 ‘그건’은 각각 앞서 말한 간식 준비의 어려움과 업무 분담 내용을 가리킨다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q39", "number": 39, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 18, "status": "correct", "answer": 1, "explanation": "‘시작되다’는 명사에서, ‘낮추다’는 형용사에서 접미사로 파생된 동사이다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q40", "number": 40, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "(나)는 책을 놓친 상황에서 느낀 아쉬움을 그림으로 표현했다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q41", "number": 41, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "‘동동’이 연장을 건의하려는 것은 재신청 불가 기간이 아니라 도서 수령 기간이다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q42", "number": 42, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 19, "status": "correct", "answer": 5, "explanation": "달력은 수령 기간의 계산 방법을 보여 주며, 수령 시간을 안내하지 않는다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q43", "number": 43, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "‘-어요’는 예상과 달랐던 경험을 전달하며, 문자 발송 주체에게 응답을 요구하지 않는다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q44", "number": 44, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 20, "status": "correct", "answer": 4, "explanation": "다겸은 혜정의 요청에 따라 공유 화면을 아래로 내렸으며, 공유 권한을 넘기지 않았다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q45", "number": 45, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 20, "status": "correct", "answer": 3, "explanation": "상세 정보는 아래로 펼치는 방식이 아니라 ‘더 보기’를 통해 새 창에 제시했다.", "abstain_reason": null, "time_seconds": 11.762, "usage": { "input_tokens": 2236.090909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 293.8181818181818, "reasoning_output_tokens": 234.45454545454547 }, "estimated_cost_usd": 0.007410363636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q01", "number": 1, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "9^(1/4)=√3이므로 주어진 값은 √3×3^(-1/2)=1이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q02", "number": 2, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "주어진 극한은 f′(1)이며, f′(x)=9x²+4이므로 값은 13이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q03", "number": 3, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "2Σa_k=1+2+3+4=10이므로 Σa_k=5이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q04", "number": 4, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "x=1에서 연속이려면 3−2=1−3+a이어야 하므로 a=3이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q05", "number": 5, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "곱의 미분법으로 f′(1)=(2−1−2)+3(4−1)=8이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q06", "number": 6, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "b=a³이고 b/a=√3이므로 a=3^(1/4), b=3^(3/4)이다. 따라서 log₉(ab)=log₉3=1/2이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q07", "number": 7, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "두 곡선은 x=0에서 만나므로 넓이는 ∫₀²(6/5)x² dx=16/5이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q08", "number": 8, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "cosθ<0이고 sinθ=−3cosθ이므로 sinθ>0이다. sin²θ+cos²θ=1에서 sinθ=3√10/10이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "f′(x)=3(x−a)(x+3a)이고 f(a)<4이므로 접점은 x=−3a이다. 4+27a³=5에서 a=1/3이므로 f(2)=14이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "AB=BC에서 A의 y좌표는 2이고, 삼각형 넓이에서 OB=4이다. a⁴=4이므로 a×OB=4√2=2^(5/2)이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "ㄱ의 위치는 13/3이고, ㄴ은 속도가 항상 양수이므로 거짓이다. ㄷ의 이동 거리는 11/6+7/6=3이므로 ㄱ, ㄷ이 옳다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "correct", "answer": 2, "explanation": "공비를 r이라 하면 두 합의 비에서 r³=2이다. 7a₁=3이므로 a₁₀=8a₁=24/7이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "접선은 l: y=−2x−4, m: y=−4x+10이며 교점의 x좌표는 7이다. 넓이는 (1/2)×14×7=49이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "CE=3, EG=√6이고 삼각형 CEG의 외접원 반지름은 4√15/5이다. 따라서 GH=2R sin∠HCG=2×(4√15/5)×(4/5)=32√15/25이다.", "abstain_reason": null, "time_seconds": 8.002227272727273, "usage": { "input_tokens": 1679.0454545454545, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 232.1818181818182, "reasoning_output_tokens": 158.95454545454547 }, "estimated_cost_usd": 0.0056799090909090905, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "h′=g−f의 부호를 조사하면 극값이 하나인 조건은 04일 때만 음의 구간에서 극값이 추가된다. 따라서 k=4이고 h(3)=7/2이므로 k+h(3)=15/2이다.", "abstain_reason": null, "time_seconds": 5.692409090909091, "usage": { "input_tokens": 1676.2272727272727, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 182.63636363636363, "reasoning_output_tokens": 110.81818181818181 }, "estimated_cost_usd": 0.02589409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "a₂=1²×1+1=2이고 a₃=2²×2+1=9이다.", "abstain_reason": null, "time_seconds": 5.692409090909091, "usage": { "input_tokens": 1676.2272727272727, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 182.63636363636363, "reasoning_output_tokens": 110.81818181818181 }, "estimated_cost_usd": 0.02589409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "F(x)=x⁴−x²+4이므로 F(2)=16이다.", "abstain_reason": null, "time_seconds": 5.692409090909091, "usage": { "input_tokens": 1676.2272727272727, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 182.63636363636363, "reasoning_output_tokens": 110.81818181818181 }, "estimated_cost_usd": 0.02589409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "sin∠BAC=4/5이므로 넓이는 (1/2)×5×6×(4/5)=12이다.", "abstain_reason": null, "time_seconds": 5.692409090909091, "usage": { "input_tokens": 1676.2272727272727, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 182.63636363636363, "reasoning_output_tokens": 110.81818181818181 }, "estimated_cost_usd": 0.02589409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "주어진 다항식은 구간에서 최댓값 12, 최솟값 −15를 갖는다. 따라서 절댓값의 최댓값인 15가 k의 최솟값이다.", "abstain_reason": null, "time_seconds": 5.692409090909091, "usage": { "input_tokens": 1676.2272727272727, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 182.63636363636363, "reasoning_output_tokens": 110.81818181818181 }, "estimated_cost_usd": 0.02589409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "correct", "answer": 130, "explanation": "합의 차를 구하면 f(n)=n/3이고 n=2를 대입하면 p=10이다. q=7+10+(3+5+7+9+11)=52이므로 pq/f(12)=130이다.", "abstain_reason": null, "time_seconds": 5.692409090909091, "usage": { "input_tokens": 1676.2272727272727, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 182.63636363636363, "reasoning_output_tokens": 110.81818181818181 }, "estimated_cost_usd": 0.02589409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "correct", "answer": 65, "explanation": "극한 조건에서 f(x)=cx(x−2)(x−r)이며, 음의 극한을 갖는 자연수가 두 개라는 조건으로 t=2, 30이므로 cosθ<0이고, sinθ+3cosθ=0에서 sinθ>0이다. 따라서 sinθ=3/√10이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "수평 접선 조건 f'(x)=0과 접선 y=5 조건을 함께 적용하면 a=1/3이다. 이에 f(2)=14이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "점근선은 y=−2이므로 AB=BC에서 A의 y좌표는 2이다. 삼각형 넓이로 x_A=4를 얻어 a⁴=4이며, a·OB=4a=2^{5/2}이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "ㄱ과 ㄷ은 참이고 ㄴ은 거짓이다. 따라서 ㄱ, ㄷ을 고른 ③이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "correct", "answer": 2, "explanation": "등비수열의 두 합 조건을 비교하면 공비의 세제곱은 2이다. 첫째항은 3/7이므로 a₁₀=24/7이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "두 접선은 y=−2x−4, y=−4x+10이다. y축과 두 직선이 만드는 삼각형의 넓이는 49이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "삼각형 CEG의 변의 길이는 3, √6, 2√6이고 넓이는 3√15/4이다. 외접반지름과 ∠HCG=∠BAC을 이용하면 GH=32√15/25이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "h'(x)의 부호를 구간별로 보면 a가 1보다 크고 4 이하일 때 극값은 하나뿐이며, 가능한 a의 최댓값은 4이다. 이때 h(3)=7/2이므로 k+h(3)=15/2이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "a₂=1²·a₁+1=2이고, a₃=2²·a₂+1=9이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "F(2)−F(0)=∫₀²(4x³−2x)dx=12이다. F(0)=4이므로 F(2)=16이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "cos∠BAC=−3/5이므로 sin∠BAC=4/5이다. 넓이는 (1/2)·5·6·(4/5)=12이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "구간의 끝점과 도함수가 0인 점에서 함수값을 비교하면 최댓값은 12, 최솟값은 −15이다. 따라서 최소 k는 15이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "incorrect", "answer": 52, "explanation": "합의 식을 차분하면 a_{n+1}+2a_n=n이다. a₂=10이고, 요구한 합은 a₁+a₂+3+5+7+9+11=52이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "correct", "answer": 65, "explanation": "조건을 만족하는 삼차함수는 f(x)=(3/14)x(x−2)(x−11/3)이고 전환점은 t=2이다. 따라서 g(−5)=−f(−5)=65이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q22", "number": 22, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 457, "source_page": 8, "status": "correct", "answer": 457, "explanation": "A=(63/4,7/4), B=(7/2,63/2)이 주어진 곡선과 중점 조건을 만족한다. ab=441/16이므로 p+q=16+441=457이다.", "abstain_reason": null, "time_seconds": 3.7804090909090906, "usage": { "input_tokens": 1647.590909090909, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 446.6363636363636, "reasoning_output_tokens": 376.6363636363636 }, "estimated_cost_usd": 0.00038807727272727275, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q23", "number": 23, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 9, "status": "correct", "answer": 3, "explanation": "각 자리마다 네 문자 중 하나를 고르므로 경우의 수는 4³=64입니다.", "abstain_reason": null, "time_seconds": 8.624875, "usage": { "input_tokens": 2980.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 780.125, "reasoning_output_tokens": 703.5 }, "estimated_cost_usd": 0.000688075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q24", "number": 24, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "P(A∩B)=P(A)P(B|A)=1/10이므로, 합집합 공식에서 P(B)=7/10입니다.", "abstain_reason": null, "time_seconds": 8.624875, "usage": { "input_tokens": 2980.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 780.125, "reasoning_output_tokens": 703.5 }, "estimated_cost_usd": 0.000688075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q25", "number": 25, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 10, "status": "correct", "answer": 2, "explanation": "전체 쌍은 45개입니다. 같은 색인 쌍 20개와 숫자가 같은 쌍 4개가 유리하므로 확률은 24/45=8/15입니다.", "abstain_reason": null, "time_seconds": 8.624875, "usage": { "input_tokens": 2980.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 780.125, "reasoning_output_tokens": 703.5 }, "estimated_cost_usd": 0.000688075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q26", "number": 26, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "신뢰구간의 반폭은 2.58×5/6=2.15입니다. 하한이 1.2이므로 상한 a는 1.2+2×2.15=5.5입니다.", "abstain_reason": null, "time_seconds": 8.624875, "usage": { "input_tokens": 2980.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 780.125, "reasoning_output_tokens": 703.5 }, "estimated_cost_usd": 0.000688075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q27", "number": 27, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 11, "status": "correct", "answer": 4, "explanation": "확률의 합에서 a=1/6이고, V(X)=5/4입니다. 따라서 V(X/a)=V(X)/a²=45입니다.", "abstain_reason": null, "time_seconds": 8.624875, "usage": { "input_tokens": 2980.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 780.125, "reasoning_output_tokens": 703.5 }, "estimated_cost_usd": 0.000688075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q28", "number": 28, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 11, "status": "correct", "answer": 2, "explanation": "전체 공 수가 홀수인 결과는 640개입니다. 그중 상자 3의 공이 상자 2보다 하나 많은 결과는 120개이므로 조건부 확률은 120/640=3/16입니다.", "abstain_reason": null, "time_seconds": 8.624875, "usage": { "input_tokens": 2980.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 780.125, "reasoning_output_tokens": 703.5 }, "estimated_cost_usd": 0.000688075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q29", "number": 29, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 977, "source_page": 12, "status": "correct", "answer": 977, "explanation": "기댓값 조건에서 a=4이며 X의 표준편차는 60입니다. 표준화하면 z=2이고, 표의 값으로 P(X≤4920)≈0.5+0.477=0.977이므로 1000k=977입니다.", "abstain_reason": null, "time_seconds": 8.624875, "usage": { "input_tokens": 2980.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 780.125, "reasoning_output_tokens": 703.5 }, "estimated_cost_usd": 0.000688075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q30", "number": 30, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 262, "source_page": 12, "status": "correct", "answer": 262, "explanation": "공이 두 개인 주머니가 하나인 경우는 112가지입니다. 두 개인 주머니가 둘이면 이웃 주머니를 비우는 조건을 적용해 150가지이므로 합계는 262가지입니다.", "abstain_reason": null, "time_seconds": 8.624875, "usage": { "input_tokens": 2980.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 780.125, "reasoning_output_tokens": 703.5 }, "estimated_cost_usd": 0.000688075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q23", "number": 23, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": " tan(6x)/(2x) \u0010\u0010\u0010\u0010\u0010\u0010\u0010\u0010 sin\u0006u/u\u0010\u0010\u0010\u0010\u0010\u0010\u0010\u0010 3.", "abstain_reason": null, "time_seconds": 12.7865, "usage": { "input_tokens": 2979.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1181.5, "reasoning_output_tokens": 1076.375 }, "estimated_cost_usd": 0.0008886625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q24", "number": 24, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 13, "status": "correct", "answer": 4, "explanation": "\u0010\u0010\u0010\u0010\u0010\u0010 sin x-sin^3 x=sin x cos^2 x. \u0010\u0010\u0010\u0010\u0010\u0010\u0010\u0010 u=sin x\u0010\u0010\u0010\u0010\u0010\u0010 \u0010\u0010\u0010\u0010\u0010\u0010 integral_0^1 sqrt(u)du=2/3.", "abstain_reason": null, "time_seconds": 12.7865, "usage": { "input_tokens": 2979.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1181.5, "reasoning_output_tokens": 1076.375 }, "estimated_cost_usd": 0.0008886625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q25", "number": 25, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 14, "status": "correct", "answer": 3, "explanation": "\u0010\u0010\u0010\u0010\u0010\u0010\u0010\u0010 a_n/n\u0010\u0010\u0010\u0010\u0010\u0010 5\u0010\u0010\u0010\u0010\u0010\u0010\u0010\u0010 분자와 분모를 n^2으로 나누면 극한은 25/10=5/2.", "abstain_reason": null, "time_seconds": 12.7865, "usage": { "input_tokens": 2979.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1181.5, "reasoning_output_tokens": 1076.375 }, "estimated_cost_usd": 0.0008886625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q26", "number": 26, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "\u0010\u0010\u0010\u0010 단면 넓이는 (sqrt3/4)(x+x ln x)입니다. 이를 1부터 2까지 적분하면 sqrt3(3+8 ln 2)/16입니다.", "abstain_reason": null, "time_seconds": 12.7865, "usage": { "input_tokens": 2979.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1181.5, "reasoning_output_tokens": 1076.375 }, "estimated_cost_usd": 0.0008886625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q27", "number": 27, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "\u0010\u0010\u0010\u0010 직선과의 교점 조건은 e^(4t)=e여서 t=1/4입니다. 그때 dy/dx=(3π−2)/(π+6)입니다.", "abstain_reason": null, "time_seconds": 12.7865, "usage": { "input_tokens": 2979.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1181.5, "reasoning_output_tokens": 1076.375 }, "estimated_cost_usd": 0.0008886625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q28", "number": 28, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "t=s^3/(1+s)는 증가하고 양끝 t에 대응하는 s는 1, 3입니다. 치환과 부분적분으로 적분값은 157/12+ln 2입니다.", "abstain_reason": null, "time_seconds": 12.7865, "usage": { "input_tokens": 2979.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1181.5, "reasoning_output_tokens": 1076.375 }, "estimated_cost_usd": 0.0008886625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q29", "number": 29, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 97, "source_page": 16, "status": "abstained", "answer": null, "explanation": "수열의 조건을 정확히 해석하고 필요 조건을 확정하지 못했습니다.", "abstain_reason": "uncertain", "time_seconds": 12.7865, "usage": { "input_tokens": 2979.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1181.5, "reasoning_output_tokens": 1076.375 }, "estimated_cost_usd": 0.0008886625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q30", "number": 30, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 11, "source_page": 16, "status": "abstained", "answer": null, "explanation": "불연속점과 해당 교점 개수를 확정하지 못해 답을 신뢰성 있게 계산할 수 없습니다.", "abstain_reason": "uncertain", "time_seconds": 12.7865, "usage": { "input_tokens": 2979.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1181.5, "reasoning_output_tokens": 1076.375 }, "estimated_cost_usd": 0.0008886625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q23", "number": 23, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "두 벡터의 합은 (3, 0)이므로 모든 성분의 합은 3이다.", "abstain_reason": null, "time_seconds": 12.914625, "usage": { "input_tokens": 2978.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1387.5, "reasoning_output_tokens": 1305.25 }, "estimated_cost_usd": 0.0009915625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q24", "number": 24, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 17, "status": "correct", "answer": 1, "explanation": "포물선의 초점은 (5, 0), 준선은 x=-1이므로 둘 사이의 거리는 6이다.", "abstain_reason": null, "time_seconds": 12.914625, "usage": { "input_tokens": 2978.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1387.5, "reasoning_output_tokens": 1305.25 }, "estimated_cost_usd": 0.0009915625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q25", "number": 25, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 18, "status": "correct", "answer": 5, "explanation": "대칭점은 B=(-3,-3/2,-2), C=(-3,3/2,2)이다. BC의 길이는 √(3²+4²)=5이다.", "abstain_reason": null, "time_seconds": 12.914625, "usage": { "input_tokens": 2978.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1387.5, "reasoning_output_tokens": 1305.25 }, "estimated_cost_usd": 0.0009915625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q26", "number": 26, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 18, "status": "correct", "answer": 2, "explanation": "접선과 y축의 교점은 P=(0,a/√2)이고, 두 초점까지의 거리는 a/√2와 3a/√2이다. 두 거리의 곱이 8이므로 a=4√3/3이다.", "abstain_reason": null, "time_seconds": 12.914625, "usage": { "input_tokens": 2978.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1387.5, "reasoning_output_tokens": 1305.25 }, "estimated_cost_usd": 0.0009915625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q27", "number": 27, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "AB가 밑면 원의 지름이므로 반지름은 5/2이다. 조건에서 밑면 삼각형 ABH의 넓이는 5이고, 사각형 넓이가 그 4배가 되도록 하면 원기둥의 높이는 √21이다.", "abstain_reason": null, "time_seconds": 12.914625, "usage": { "input_tokens": 2978.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1387.5, "reasoning_output_tokens": 1305.25 }, "estimated_cost_usd": 0.0009915625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q28", "number": 28, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "좌표를 두면 구의 반지름은 2√3/3이고, 조건을 만족하는 점들의 원의 반지름은 1이다. 그 원의 평면과 ABC의 법선 사이의 코사인 절댓값은 1/4이므로 정사영 넓이는 π/4이다.", "abstain_reason": null, "time_seconds": 12.914625, "usage": { "input_tokens": 2978.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1387.5, "reasoning_output_tokens": 1305.25 }, "estimated_cost_usd": 0.0009915625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q29", "number": 29, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 360, "source_page": 20, "status": "correct", "answer": 360, "explanation": "타원에서 A,H가 중심에 대해 대칭이므로 AB+BH는 장축의 길이와 같고, 둘레 조건으로 p=9이다. 넓이 조건에서 t=√(x/p)=1/3이므로 HF²=4p²(1+t²)=360이다.", "abstain_reason": null, "time_seconds": 12.914625, "usage": { "input_tokens": 2978.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1387.5, "reasoning_output_tokens": 1305.25 }, "estimated_cost_usd": 0.0009915625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q30", "number": 30, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 221, "source_page": 20, "status": "correct", "answer": 221, "explanation": "원 위 조건과 주어진 벡터식을 결합하면 |PQ|=14이다. 좌표를 풀면 |PA·QB|=196/25이므로 p+q=25+196=221이다.", "abstain_reason": null, "time_seconds": 12.914625, "usage": { "input_tokens": 2978.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1387.5, "reasoning_output_tokens": 1305.25 }, "estimated_cost_usd": 0.0009915625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q01", "number": 1, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "수면에 도움이 되는 Nightly Journey 앱을 소개하고 사용을 권한다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q02", "number": 2, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 실내 암벽 등반이 문제 해결 능력을 키운다고 말한다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q03", "number": 3, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "큰 자세를 취하면 불안감이 완화된다는 것이 핵심이다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q04", "number": 4, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "대화에서는 탁자 주변에 의자 세 개가 있다고 하지만 그림에는 두 개만 보인다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q05", "number": 5, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 오늘 오후에 재료 배송을 확인하겠다고 한다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q06", "number": 6, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "중간 크기 난방기 70달러와 가죽 슬리퍼 두 켤레 20달러를 합하면 90달러다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q07", "number": 7, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 티 클럽 시간과 겹치는 이른 업무 회의가 있다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q08", "number": 8, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "장소, 날짜, 상품, 신청 방법은 언급되지만 후원 기관은 나오지 않는다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q09", "number": 9, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "개인이 아니라 팀으로 신청해야 한다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q10", "number": 10, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "예산 안에서 세 개 이상이고, 세라믹 손잡이에 선물 상자가 없는 D 모델이 조건에 맞는다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q11", "number": 11, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "운전 중인 상대에게 조심하라고 답하는 것이 자연스럽다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q12", "number": 12, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "직행 버스가 있는 로즈메리 놀이공원을 선택하겠다는 응답이 적절하다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q13", "number": 13, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "고객이 부품만 필요하다고 했으므로 교체 부품을 보내겠다는 답이 알맞다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q14", "number": 14, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "함께 요리하면 딸이 다양한 음식을 먹게 되길 바란다는 반응이 적절하다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q15", "number": 15, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "역사 유적지를 자전거로 직접 방문하자고 제안하는 내용이다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q16", "number": 16, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "빠르게 자라는 식물을 과학 실험에 활용하는 사례들이 중심이다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q17", "number": 17, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "대본에 언급된 식물은 대나무, 상추, 해바라기, 완두콩이다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q18", "number": 18, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "새로운 동아리를 만들 제안서를 제출하도록 권하는 글이다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q19", "number": 19, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "집을 찾기 전에는 혼란스러웠고, 찾은 뒤에는 기뻐했다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q20", "number": 20, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "작사가들이 가사를 통해 언어와 문학에 기여한 바를 인정해야 한다는 주장이다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q21", "number": 21, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "디지털 플랫폼이 지리적으로 떨어진 곳에서 일할 수 있게 하여 공간적 유연성을 높였다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q22", "number": 22, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "스포츠 산업에서는 협력과 경쟁의 균형을 신중히 관리해야 한다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q23", "number": 23, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "대중교통은 속도만큼 운행 빈도도 중요하다는 글이다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q24", "number": 24, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 3, "status": "incorrect", "answer": 1, "explanation": "문화 상업화의 경제적 이점과 그에 따르는 위험을 함께 다룬다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q25", "number": 25, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "덜 자주 항목에서 이메일은 43%로 가장 높고, 두 번째는 전화 통화 41%다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q26", "number": 26, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "Borden Award는 1952년, Morrison Award는 그다음 해에 받았다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q27", "number": 27, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "선정되는 학교 종소리는 네 개가 아니라 세 개다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q28", "number": 28, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "안내문에 패스는 온라인으로만 구매할 수 있다고 적혀 있다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q29", "number": 29, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "주어인 ‘The package’에 맞는 동사가 필요하므로 ‘being’은 ‘is’로 고쳐야 한다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q30", "number": 30, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "문맥상 선수들은 경쟁 우위를 포기하는 것이 아니라 얻으려 한다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q31", "number": 31, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "수급 정보를 비밀로 한 이유는 기업의 수익성에 핵심이기 때문이다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q32", "number": 32, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "글쓰기는 즉각적 반응이 없으므로 독자의 반응을 미리 예상해야 한다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q33", "number": 33, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "이용자들이 설계 과정에서 의견을 낼 기회를 얻으면 만족도가 높아진다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q34", "number": 34, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "합리적으로 선택하지 않을 일을 법이 금지한다면 자유의 제약으로 볼 수 없다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q35", "number": 35, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "목공 수업 등록은 자기 돌봄 시간을 확보하려는 글의 흐름과 무관하다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q36", "number": 36, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "반복 과정을 정의한 뒤 시계의 사례를 들고, 더 긴 시간 규모의 사례를 덧붙이는 순서다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q37", "number": 37, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 5, "explanation": "인지과학에서 철학의 역할을 제시한 뒤 철학과 신경과학의 협력, 경험적 보완을 설명한다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement", "official_status": "correct", "accepted_answers": [ 4, 5 ], "benchmark_adjusted": false }, { "id": "2026-english-english-q38", "number": 38, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 7, "status": "incorrect", "answer": 3, "explanation": "이야기가 정체성에 뿌리내린다는 문장은 이야기를 형성한다는 설명 뒤, 구체적 예시 앞에 어울린다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q39", "number": 39, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 7, "status": "incorrect", "answer": 2, "explanation": "아바타의 신체 공간이 게임 현실을 인식하는 통로라는 설명 뒤에 차이를 덧붙이는 것이 자연스럽다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q40", "number": 40, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "incorrect", "answer": 4, "explanation": "외부 자금 의존으로 불안정한 상황에서도 공연 예술은 관객에게 다가간다는 요약이다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q41", "number": 41, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 8, "status": "correct", "answer": 2, "explanation": "복식사 자료의 공백을 시각 예술의 자료가 메운다는 내용이다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q42", "number": 42, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "정보가 없으면 전시가 원래 의도를 어색하게 모방할 가능성이 커지므로 ‘unlikely’는 부적절하다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q43", "number": 43, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "미아가 독서 모임 제안을 받아들이고, 도서관에서 책을 고른 뒤, 첫 모임을 한다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q44", "number": 44, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 8, "status": "correct", "answer": 3, "explanation": "(c)의 ‘her’는 미아가 아니라 책을 건네준 사서를 가리킨다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q45", "number": 45, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "미아는 처음에 독서 모임을 거절했고 설득 후에야 동의했다.", "abstain_reason": null, "time_seconds": 1.3342444444444443, "usage": { "input_tokens": 1960.6666666666667, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 118.73333333333333, "reasoning_output_tokens": 65.37777777777778 }, "estimated_cost_usd": 0.0002554333333333333, "measurement_basis": "Group request duration and usage divided equally; 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"2026-english-english-q20", "2026-english-english-q21", "2026-english-english-q22", "2026-english-english-q23", "2026-english-english-q24", "2026-english-english-q25", "2026-english-english-q26", "2026-english-english-q27", "2026-english-english-q28", "2026-english-english-q29", "2026-english-english-q30", "2026-english-english-q31", "2026-english-english-q32", "2026-english-english-q33", "2026-english-english-q34", "2026-english-english-q35", "2026-english-english-q36", "2026-english-english-q37", "2026-english-english-q38", "2026-english-english-q39", "2026-english-english-q40", "2026-english-english-q41", "2026-english-english-q42", "2026-english-english-q43", "2026-english-english-q44", "2026-english-english-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 44, "incorrect": 1, "abstained": 0, "errors": 0, "pending": 0, "score": 97, "max_score": 100, "accuracy": 97.77777777777777, "abstention_rate": 0, "attempt_accuracy": 97.77777777777777, "wall_time_seconds": 71.278, "solver_time_seconds": 71.278, "usage": { "input_tokens": 203198.0000000002, "cached_input_tokens": 97148.00000000006, "cache_write_input_tokens": 102598.00000000001, "output_tokens": 10952, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.5297269000000002, "adjusted_correct": 0 }, "official_summary": { "total_questions": 45, "correct": 44, "incorrect": 1, "abstained": 0, "errors": 0, "pending": 0, "score": 97, "max_score": 100, "accuracy": 97.77777777777777, "abstention_rate": 0, "attempt_accuracy": 97.77777777777777, "wall_time_seconds": 71.278, "solver_time_seconds": 71.278, "usage": { "input_tokens": 203198.0000000002, "cached_input_tokens": 97148.00000000006, "cache_write_input_tokens": 102598.00000000001, "output_tokens": 10952, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.5297269000000002 } } ], "questions": [ { "id": "2026-korean-common-q01", "number": 1, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "단순 관점은 글 읽기 경험과 말소리 듣기 경험이 모두 필요하다고 하며 선후를 두지 않는다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q02", "number": 2, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "단순 관점은 해독과 언어 이해가 의미 이해로 이어지는 사고 과정은 설명하지 않는다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q03", "number": 3, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "B는 해독이 부족해 글로 읽을 때 중심 내용을 파악하지 못했으므로, 글 읽기 경험으로 파악하게 되었다는 해석은 부적절하다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q04", "number": 4, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "(가)는 문리·체계적·역사적 해석 방법을 구분해 제시하고, (나)는 보증 계약의 규범 내용을 열거한다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q05", "number": 5, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "유상 계약에서 담보는 값어치를 보장한다는 의미이지, 교환 대상의 값어치가 일치해야 계약이 체결된다는 뜻이 아니다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q06", "number": 6, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "보증 계약의 당사자는 채권자와 보증인이므로, 대가를 지급할 주채무자는 보증 계약의 당사자가 아니다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q07", "number": 7, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "보증은 담보 기능을 하므로 주채무가 소멸하면 보증 채무도 소멸한다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q08", "number": 8, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "연대 보증 특약이 없으면 보증인은 주채무자의 강제 집행 대상 재산을 증명해 이행을 거절할 수 있다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q09", "number": 9, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "incorrect", "answer": 3, "explanation": "'파기하고'는 계약을 무효로 한다는 뜻이어서 '깨뜨리고'와 바꿔 쓰기에 부적절하다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q10", "number": 10, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 4, "status": "correct", "answer": 5, "explanation": "반응 완료 시간은 띠의 두께가 얇을수록 짧다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q11", "number": 11, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "온도를 내리면 계수가 큰 쪽이 더 수축하므로 계수가 큰 물질 쪽으로 휜다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q12", "number": 12, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "온도 변화가 클수록 더 휘므로 T2일 때 힘이 소멸되는 시점의 곡률이 더 크다. 나머지는 b의 휨이 더 크다는 점과 길이·두께가 같다는 조건에 어긋난다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q13", "number": 13, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "ⓐ는 계산하여 구한다는 뜻이고 ⓑ는 원래 상태나 자리로 되돌아간다는 뜻으로, 두 쌍 모두 ①이 같은 의미이다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q14", "number": 14, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 5, "status": "incorrect", "answer": 4, "explanation": "스트로슨은 신체를 매개로 대상이 경험된다는 것을 과학적 사실이라고 본다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q15", "number": 15, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "[A]는 두 전제에 쓰인 '의식'의 의미가 실재성과 관련하여 다르다는 점을 지적한다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q16", "number": 16, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "스트로슨은 자아에 대한 인식이 경험적 인식에서 추상화된다고 보므로 순서가 반대로 서술되어 있다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q17", "number": 17, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "incorrect", "answer": 2, "explanation": "스트로슨은 인격을 의식과 신체의 복합체로 보므로, 신체 없는 존재에게 인격을 귀속할 수 없다는 을의 입장은 옳지 않다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q18", "number": 18, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "호랑이가 먼저 자라에게 인사하며 자신의 정체를 밝혔다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q19", "number": 19, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 7, "status": "incorrect", "answer": 5, "explanation": "㉠에서는 자라가 '호 생원'이라 부르는 말로 호랑이의 지위가 확인된다. ㉡에서는 호랑이가 도리랑귀신과 비교되며 위엄을 잃는다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q20", "number": 20, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "ⓒ는 자라가, ⓕ는 호랑이가 상대의 말과 행동 때문에 위기를 맞아 보인 반응이다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q21", "number": 21, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "호랑이가 자라를 먹으려는 상황은 속내를 지식으로 숨기는 위선이 아니라 노골적인 탐욕이므로 위선 비판으로 보기 어렵다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q22", "number": 22, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "(나)와 (다)는 '~면', '~라면' 같은 가정적 표현으로 대상의 속성을 드러낸다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q23", "number": 23, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "(가)의 '사방을 둘러보'는 행동은 감시를 피해 다니는 모습이 아니라 그리운 존재의 부재를 확인하는 것이다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q24", "number": 24, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "correct", "answer": 4, "explanation": "㉣은 바름에 합당한 소리이므로 '바른 것 같으면서 삿된 것'과 연결하는 것은 부적절하다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q25", "number": 25, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "correct", "answer": 4, "explanation": "화자는 감나무가 때론 흰 구름을, 때론 장대비를 만나며 자라는 과정을 의미 있게 본다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q26", "number": 26, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 9, "status": "correct", "answer": 2, "explanation": "(다)는 소리의 상반된 특성이 균형을 이룬다고 하지 않고, 듣기 좋고 글로 쓰이며 바름에 합당해야 좋은 소리라고 한다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q27", "number": 27, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "온 씨의 공격적 태도에 허명두는 에둘러 말한 것이 아니라 증오를 드러내며 맞섰다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q28", "number": 28, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "온 씨가 ⓑ 소문을 듣고 허명두를 찾아가 확인한 내용을 ⓐ 이야기로 퍼뜨렸다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q29", "number": 29, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 11, "status": "correct", "answer": 1, "explanation": "독가촌은 고속도로와 접속하는 교통 요충지가 되어 각광받게 된 곳이다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q30", "number": 30, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 11, "status": "correct", "answer": 3, "explanation": "㉢은 온 씨의 주장을 옳다고 헤아리는 대목이며, 변화의 원인을 달리 보아 왜곡된 시선을 드러낸다는 설명은 부적절하다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q31", "number": 31, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 12, "status": "correct", "answer": 2, "explanation": "(가)는 대구와 대조를 함께 써서 화자의 괴로운 처지를 드러낸다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q32", "number": 32, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 12, "status": "correct", "answer": 4, "explanation": "㉣에는 화자가 옛 인연이 있었기에 좋은 술을 얻었다는 근거가 없다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q33", "number": 33, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 12, "status": "correct", "answer": 1, "explanation": "ⓐ 방패연은 근심을 적어 실을 끝까지 풀어 멀리 날려 보내는 대상이다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q34", "number": 34, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 12, "status": "correct", "answer": 3, "explanation": "(다)의 화자는 연줄로 임을 낚아 올리려는 것이지 연줄의 힘을 빌려 임에게 가려는 것이 아니다.", "abstain_reason": null, "time_seconds": 3.497323529411765, "usage": { "input_tokens": 1494.6764705882354, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6764705882354, "output_tokens": 481.11764705882354, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.010298114705882353, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q35", "number": 35, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 13, "status": "correct", "answer": 2, "explanation": "발표자는 전문가의 견해를 인용하지 않았다. 따라서 ②는 적절하지 않다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q36", "number": 36, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 13, "status": "correct", "answer": 5, "explanation": "[자료3]은 풍혈지에서 발견된 북방계 식물 목록에 희귀 식물 여부를 표시한 자료이고, ㉢에서 활용되었다. 나머지 선택지는 자료의 내용과 맞지 않는다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q37", "number": 37, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "학생3은 발표에서 알게 된 풍혈지 정보가 보고서 작성에 도움이 되겠다고 보았다. 이는 정보를 유용성 측면에서 평가한 것이다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q38", "number": 38, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "(나)에서도 학생1이 나머지 두 명에게 생각을 말해 보라고 요청한다. 따라서 (가)만 그렇다는 설명은 적절하지 않다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q39", "number": 39, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "㉡에서 학생2는 상대 발언이 아니라 방송을 보고 체감했다고 말한다. 따라서 상대 발언을 통해 알게 되었다는 설명은 적절하지 않다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q40", "number": 40, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 15, "status": "incorrect", "answer": 1, "explanation": "학생3이 언급한 ○○○의 세계적 인기가 (다)에서 '전 세계 시청 순위 1위' 작품으로 제시된다. 이것이 웹툰 영상화 유행을 긍정하는 필자의 관점을 뒷받침한다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q41", "number": 41, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "(다)는 웹툰 영상화 유행의 영향을 영상 산업(흥행 실패 부담 감소, 다양화)과 웹툰 산업(창작 안정, 2차 저작물 수익)으로 나누어 서술한다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q42", "number": 42, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "학생3의 의견은 관점, 발전 방안, 전망을 추가하라는 것이다. 영상업계의 노력에 관한 내용을 추가한 것은 이를 반영한 것이 아니다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q43", "number": 43, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 16, "status": "correct", "answer": 3, "explanation": "③은 완벽한 모습을 보이려다 생기는 불안을 정서적 어려움으로 명시한다. 이어 자기 수용이라는 태도와 심리적 안정이라는 긍정적 변화를 함께 제시한다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q44", "number": 44, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 16, "status": "correct", "answer": 2, "explanation": "초고에는 완벽주의적 자기 제시 성향의 장단점을 설명한 부분이 없다. 따라서 ②는 반영되지 않았다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q45", "number": 45, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 16, "status": "correct", "answer": 5, "explanation": "ㄱ-2와 ㄷ은 걷기가 긴장을 완화해 불안을 줄인다는 내용이다. '정서 조절의 실패에서 비롯된 불안'을 해소한다는 활용은 자료에 없는 내용이다.", "abstain_reason": null, "time_seconds": 4.154909090909091, "usage": { "input_tokens": 3790.090909090909, "cached_input_tokens": 1560.7272727272727, "cache_write_input_tokens": 2029.090909090909, "output_tokens": 619.0909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.014240863636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q35", "number": 35, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "한글 자모 24자 중 자음자는 각각 하나의 소리를 나타낸다. 두 소리의 연쇄를 나타내는 것은 어울러 쓴 글자이므로 ③이 적절하지 않다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q36", "number": 36, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 17, "status": "correct", "answer": 2, "explanation": "15세기 합용 병서 'ㅼ'은 현대 'ㄸ'과 같은 된소리를 나타낸다. 형식은 달라도 내용은 같으므로 '형식과 내용이 모두 달랐다'는 ②는 적절하지 않다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q37", "number": 37, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 17, "status": "correct", "answer": 4, "explanation": "④는 관형사 '온갖', 선어말 어미 '-시-', 한 자리 서술어 '길어진'과 두 자리 서술어 '하셨다'를 모두 갖춘다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q38", "number": 38, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 18, "status": "correct", "answer": 4, "explanation": "㉦ '그건'과 ㉧ '그건'은 모두 앞에서 이미 말한 간식 분담 이야기를 가리킨다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q39", "number": 39, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 18, "status": "correct", "answer": 1, "explanation": "'시작되자'의 '-되-'와 '낮췄다'의 '-추-'는 어근에 결합해 어근과 품사가 다른 동사를 파생한다. 나머지 선택지는 접미사 종류, 조사 기능, 어미 기능 설명이 틀렸다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q40", "number": 40, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "(나)는 아쉬워하는 너구리 그림으로 상황에서 느낀 감정을 보충한다. (가)에는 날짜·시간 표시가 없고, (나)는 전체 공개다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q41", "number": 41, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "동동이 건의하려는 것은 재신청 불가 기간이 아니라 도서 수령 기간의 연장이다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q42", "number": 42, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 19, "status": "correct", "answer": 5, "explanation": "카드 4의 달력은 '수신일로부터 3업무일'이라는 수령 기간을 보여 준다. 수령 시간에 대한 내용이 아니다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q43", "number": 43, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "ⓑ의 '-어요'는 수령할 수 있다는 문자를 받고 놀란 마음을 드러내는 반문이다. 문자 발송 주체의 응답을 요구하는 것이 아니다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q44", "number": 44, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 20, "status": "correct", "answer": 4, "explanation": "화면 공유는 다겸이 이미 하고 있었다. 혜정의 요청에 따라 권한을 넘긴 것이 아니다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q45", "number": 45, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 20, "status": "correct", "answer": 3, "explanation": "(나)에서는 '더 보기'를 눌러 새 창에서 상세 내용을 확인하게 했다. 아래로 펼치는 기능을 활용한 것이 아니다.", "abstain_reason": null, "time_seconds": 5.343181818181818, "usage": { "input_tokens": 1756.5454545454545, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.2727272727273, "output_tokens": 667.3636363636364, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012674345454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q01", "number": 1, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "9^{1/4}=3^{1/2}이므로 3^{1/2}×3^{-1/2}=1이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q02", "number": 2, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "주어진 극한은 f'(1)이다. f'(x)=9x²+4이므로 f'(1)=13이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q03", "number": 3, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "2Σa_k−Σk=0에서 Σk=10이므로 Σa_k=5이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q04", "number": 4, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "x=1에서 연속이려면 1=1−3+a여야 하므로 a=3이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q05", "number": 5, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "곱의 미분법으로 f'(1)=(2−1−2)+3·(4−1)=−1+9=8이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q06", "number": 6, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "b=a³이고 b/a=√3이므로 a²=√3이다. 따라서 ab=a⁴=3이고 log₉3=1/2이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q07", "number": 7, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "넓이는 ∫₀²(6/5)x²dx=(6/5)(8/3)=16/5이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q08", "number": 8, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "tanθ=−3이고 cos(π−θ)=−cosθ>0에서 cosθ<0이므로 sinθ>0이다. 따라서 sinθ=3/√10=3√10/10이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "f'(x)=3(x+3a)(x−a)이다. 극솟값 f(a)는 음수 계수라 5가 될 수 없으므로 극댓값 f(−3a)=27a³+4=5에서 a=1/3이다. 따라서 f(2)=14이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "A=(p,a^p−2), C=(p,−2)이다. AB=BC=2에서 a^p=4이고, 삼각형 AOC의 넓이는 ½·4·p=8이므로 p=4, a=√2이다. 따라서 a·OB=4√2=2^{5/2}이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "ㄱ은 참이다(13/3). ㄴ은 k=3일 때 v=t²−3t+4>0이라 방향이 바뀌지 않으므로 거짓이다. ㄷ은 11/6+7/6=3이므로 참이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "correct", "answer": 2, "explanation": "공비를 r이라 하면 r³=2이고 a₁(1+2+4)=3에서 a₁=3/7이다. 따라서 a₁₀=a₁·r⁹=(3/7)·8=24/7이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "l: y=−2x−4, m: y=−4x+10이다. 두 직선은 x=7에서 만나고 y축 위의 두 점 사이 거리는 14이므로 넓이는 ½·14·7=49이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "AC=5, AE=AG=2, CG²=24에서 cos∠GAC=1/4이므로 GE=√6이다. 삼각형 CGE의 외접원 반지름은 R=12/√15이고, GH=2R·sin∠BAC=2R·4/5=32√15/25이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "h'=g−f의 부호 변화를 조사하면 극값이 오직 하나이려면 a≤4이므로 k=4이다. 이때 h(3)=1/6+10/3=7/2이므로 k+h(3)=15/2이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "a₂=1·1+1=2이고 a₃=4·2+1=9이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "F(x)=x⁴−x²+C이고 F(0)=4에서 C=4이므로 F(2)=16−4+4=16이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "sin A=4/5이므로 넓이는 ½·5·6·(4/5)=12이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "g(x)=2x³+3x²−12x−8에서 g(−2)=12, g(1)=−15, g(2)=−4이다. 구간에서 |g|의 최댓값이 15이므로 k의 최솟값은 15이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "correct", "answer": 130, "explanation": "f(n)=n/3이므로 f(12)=4이고 a₂=10이다. 2a_{2k+1}+a_{2k+2}=2k+1이므로 합은 7+10+35=52이다. 따라서 10×52/4=130이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "correct", "answer": 65, "explanation": "f=kx(x−2)(x−c)이고 조건 (나)를 따져 t=2, c=11/3, k=3/14를 얻는다(g(−1)=3, −7g(1)/2=2). 따라서 g(−5)=−f(−5)=65이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q22", "number": 22, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 457, "source_page": 8, "status": "correct", "answer": 457, "explanation": "조건을 풀면 b=7/4, a=63/4, B=(7/2, 63/2)이다. 따라서 ab=441/16이므로 p+q=16+441=457이다.", "abstain_reason": null, "time_seconds": 3.5055454545454547, "usage": { "input_tokens": 3473.7272727272725, "cached_input_tokens": 1501.3636363636363, "cache_write_input_tokens": 1856.8636363636363, "output_tokens": 526.7272727272727, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.012843977272727274, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q23", "number": 23, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 9, "status": "correct", "answer": 3, "explanation": "중복순열이므로 4³=64입니다.", "abstain_reason": null, "time_seconds": 4.25175, "usage": { "input_tokens": 4956, "cached_input_tokens": 2204.875, "cache_write_input_tokens": 2498.5, "output_tokens": 602.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0162354875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q24", "number": 24, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "P(A∩B)=2/5·1/4=1/10입니다. P(B)=P(A∪B)−P(A)+P(A∩B)=1−2/5+1/10=7/10입니다.", "abstain_reason": null, "time_seconds": 4.25175, "usage": { "input_tokens": 4956, "cached_input_tokens": 2204.875, "cache_write_input_tokens": 2498.5, "output_tokens": 602.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0162354875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q25", "number": 25, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 10, "status": "correct", "answer": 2, "explanation": "전체 경우는 C(10,2)=45입니다. 같은 색은 10+10=20이고, 같은 수(2, 3, 4, 5)는 모두 색이 달라 4쌍이 따로 있습니다. 따라서 24/45=8/15입니다.", "abstain_reason": null, "time_seconds": 4.25175, "usage": { "input_tokens": 4956, "cached_input_tokens": 2204.875, "cache_write_input_tokens": 2498.5, "output_tokens": 602.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0162354875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q26", "number": 26, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "신뢰구간의 반폭은 2.58×5/6=2.15입니다. 표본평균은 1.2+2.15=3.35이므로 a=3.35+2.15=5.5입니다.", "abstain_reason": null, "time_seconds": 4.25175, "usage": { "input_tokens": 4956, "cached_input_tokens": 2204.875, "cache_write_input_tokens": 2498.5, "output_tokens": 602.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0162354875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q27", "number": 27, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 11, "status": "correct", "answer": 4, "explanation": "확률의 합이 1이므로 a=1/6이고 1/a=6입니다. E(X)=5/2, E(X²)=15/2이므로 V(X)=5/4입니다. 따라서 V(6X)=36×5/4=45입니다.", "abstain_reason": null, "time_seconds": 4.25175, "usage": { "input_tokens": 4956, "cached_input_tokens": 2204.875, "cache_write_input_tokens": 2498.5, "output_tokens": 602.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0162354875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q28", "number": 28, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 11, "status": "correct", "answer": 2, "explanation": "공의 총합이 홀수인 경우는 전체 6⁴ 중 640가지입니다(눈이 1, 3, 4, 5인 횟수가 홀수인 경우). 조건을 만족하는 경우는 (홀수 눈 1회, 6이 3회)에서 4×3=12, (홀수 눈 2회, 4가 1회, 6이 1회)에서 12×9=108로 합계 120가지입니다. 따라서 120/640=3/16입니다.", "abstain_reason": null, "time_seconds": 4.25175, "usage": { "input_tokens": 4956, "cached_input_tokens": 2204.875, "cache_write_input_tokens": 2498.5, "output_tokens": 602.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0162354875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q29", "number": 29, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 977, "source_page": 12, "status": "correct", "answer": 977, "explanation": "한 번의 시행에서 기록한 수가 3일 확률은 p=1/8+a/32입니다. E(X)=19200p=4800에서 p=1/4이고 a=4입니다. 분산은 19200·(1/4)(3/4)=3600이라 σ=60이고, 4800+120은 평균+2σ입니다. 따라서 k=0.5+0.477=0.977이고 1000k=977입니다.", "abstain_reason": null, "time_seconds": 4.25175, "usage": { "input_tokens": 4956, "cached_input_tokens": 2204.875, "cache_write_input_tokens": 2498.5, "output_tokens": 602.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0162354875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q30", "number": 30, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 262, "source_page": 12, "status": "correct", "answer": 262, "explanation": "(1개 주머니, 2개 주머니)=(6,1) 또는 (4,2)입니다. 빈 주머니로 나뉜 칸에서 2개짜리는 단독 칸이어야 합니다. (6,1): 4×C(8,2)=112, (4,2): C(5,2)×C(6,2)=150이므로 합계 262입니다.", "abstain_reason": null, "time_seconds": 4.25175, "usage": { "input_tokens": 4956, "cached_input_tokens": 2204.875, "cache_write_input_tokens": 2498.5, "output_tokens": 602.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0162354875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q23", "number": 23, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "lim tan6x/(2x) = (6x)/(2x) = 3 이다.", "abstain_reason": null, "time_seconds": 9.581125, "usage": { "input_tokens": 5636.25, "cached_input_tokens": 2207, "cache_write_input_tokens": 3174.625, "output_tokens": 1293.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0256375875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q24", "number": 24, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 13, "status": "correct", "answer": 4, "explanation": "sinx − sin³x = sinx·cos²x 이므로 적분은 ∫₀^{π/2} cosx·√(sinx) dx = 2/3 이다.", "abstain_reason": null, "time_seconds": 9.581125, "usage": { "input_tokens": 5636.25, "cached_input_tokens": 2207, "cache_write_input_tokens": 3174.625, "output_tokens": 1293.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0256375875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q25", "number": 25, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 14, "status": "correct", "answer": 3, "explanation": "a_n/n → 5 이므로 분자는 약 25n², 분모는 약 5n²+5n² = 10n² 이다. 따라서 극한값은 5/2 이다.", "abstain_reason": null, "time_seconds": 9.581125, "usage": { "input_tokens": 5636.25, "cached_input_tokens": 2207, "cache_write_input_tokens": 3174.625, "output_tokens": 1293.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0256375875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q26", "number": 26, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "단면의 넓이는 (√3/4)(x + x ln x) 이다. ∫₁²(x + x ln x)dx = 3/4 + 2ln2 이므로 부피는 √3(3+8ln2)/16 이다.", "abstain_reason": null, "time_seconds": 9.581125, "usage": { "input_tokens": 5636.25, "cached_input_tokens": 2207, "cache_write_input_tokens": 3174.625, "output_tokens": 1293.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0256375875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q27", "number": 27, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "y = 3x−5e 에 대입하면 −5e^{4t} = −5e 이므로 t = 1/4 이다. 이때 dx/dt ∝ 6+π, dy/dt ∝ 3π−2 이므로 기울기는 (3π−2)/(π+6) 이다.", "abstain_reason": null, "time_seconds": 9.581125, "usage": { "input_tokens": 5636.25, "cached_input_tokens": 2207, "cache_write_input_tokens": 3174.625, "output_tokens": 1293.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0256375875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q28", "number": 28, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "f'(s) = s²/(1+s) 이므로 t = s·f'(s) = s³/(1+s) 이다. t가 1/2에서 27/4로 갈 때 s는 1에서 3이다. 역함수 적분으로 81/4 − 1/2 − ∫₁³ s³/(1+s) ds = 157/12 + ln2 이다.", "abstain_reason": null, "time_seconds": 9.581125, "usage": { "input_tokens": 5636.25, "cached_input_tokens": 2207, "cache_write_input_tokens": 3174.625, "output_tokens": 1293.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0256375875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q29", "number": 29, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 97, "source_page": 16, "status": "correct", "answer": 97, "explanation": "a_n = n·a₁ 이고 등비 조건에서 1/a₁ = 4 이므로 a₁ = 1/4 이다. 부등식에서 k = 2, b_n = 3^{4−n} 이다. a₂·Σb_{2n} = (1/2)(81/8) = 81/16 이므로 p+q = 97 이다.", "abstain_reason": null, "time_seconds": 9.581125, "usage": { "input_tokens": 5636.25, "cached_input_tokens": 2207, "cache_write_input_tokens": 3174.625, "output_tokens": 1293.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0256375875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q30", "number": 30, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 11, "source_page": 16, "status": "correct", "answer": 11, "explanation": "f는 기함수이고 불연속점은 a = 0 과 접하는 경우 b 이다. a = 0 에서 g(0) = 1 이고 오른쪽 극한은 3 이다. b는 ln b = −2b 를 만족하므로 (ln b/b)² = 4 이고 g(b) = 2 이다. 따라서 1·3 + 2·4 = 11 이다.", "abstain_reason": null, "time_seconds": 9.581125, "usage": { "input_tokens": 5636.25, "cached_input_tokens": 2207, "cache_write_input_tokens": 3174.625, "output_tokens": 1293.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0256375875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q23", "number": 23, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "a+b=(3,0)이므로 모든 성분의 합은 3입니다.", "abstain_reason": null, "time_seconds": 11.85125, "usage": { "input_tokens": 5952.375, "cached_input_tokens": 2206.75, "cache_write_input_tokens": 3491, "output_tokens": 1588.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.030065750000000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q24", "number": 24, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 17, "status": "correct", "answer": 1, "explanation": "y²=12(x-2)에서 4p=12이므로 p=3입니다. 초점과 준선 사이의 거리는 2p=6입니다.", "abstain_reason": null, "time_seconds": 11.85125, "usage": { "input_tokens": 5952.375, "cached_input_tokens": 2206.75, "cache_write_input_tokens": 3491, "output_tokens": 1588.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.030065750000000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q25", "number": 25, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 18, "status": "correct", "answer": 5, "explanation": "B=(-3,-3/2,-2), C=(-3,3/2,2)이므로 BC=√(0+9+16)=5입니다.", "abstain_reason": null, "time_seconds": 11.85125, "usage": { "input_tokens": 5952.375, "cached_input_tokens": 2206.75, "cache_write_input_tokens": 3491, "output_tokens": 1588.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.030065750000000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q26", "number": 26, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 18, "status": "correct", "answer": 2, "explanation": "쌍곡선은 y²-x²=a²이고 초점은 (0,±√2a)입니다. 접선이 y축과 만나는 점은 P(0,a/√2)이므로 PF·PF'=3a²/2=8입니다. 따라서 a=4√3/3입니다.", "abstain_reason": null, "time_seconds": 11.85125, "usage": { "input_tokens": 5952.375, "cached_input_tokens": 2206.75, "cache_write_input_tokens": 3491, "output_tokens": 1588.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.030065750000000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q27", "number": 27, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "조건에서 ABCD는 AB∥CD인 등변사다리꼴이고, H는 AB로부터 거리 2인 위치에 있습니다. 삼각형 ABH의 넓이는 5이므로 ABCD의 넓이는 20입니다. 사다리꼴의 높이를 √(4+h²)로 두면 4√(4+h²)=20이고, h=√21입니다.", "abstain_reason": null, "time_seconds": 11.85125, "usage": { "input_tokens": 5952.375, "cached_input_tokens": 2206.75, "cache_write_input_tokens": 3491, "output_tokens": 1588.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.030065750000000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q28", "number": 28, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "H는 CD의 중점이고 삼각형 ABH는 한 변이 4인 정삼각형입니다. 구의 반지름은 2√3/3, AG=4√3/3입니다. 접점들이 이루는 원의 반지름은 1이고, 그 평면과 평면 ABC가 이루는 각의 코사인은 1/4이므로 정사영의 넓이는 π/4입니다.", "abstain_reason": null, "time_seconds": 11.85125, "usage": { "input_tokens": 5952.375, "cached_input_tokens": 2206.75, "cache_write_input_tokens": 3491, "output_tokens": 1588.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.030065750000000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q29", "number": 29, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 360, "source_page": 20, "status": "correct", "answer": 360, "explanation": "A와 H가 대칭이므로 HB+AB=2a이고, 둘레는 AH+2a=4p입니다. 4p=p+27에서 p=9입니다. 넓이 조건에서 A의 x좌표는 1, y=6이므로 k²=HF²=18²+6²=360입니다.", "abstain_reason": null, "time_seconds": 11.85125, "usage": { "input_tokens": 5952.375, "cached_input_tokens": 2206.75, "cache_write_input_tokens": 3491, "output_tokens": 1588.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.030065750000000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q30", "number": 30, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 221, "source_page": 20, "status": "correct", "answer": 221, "explanation": "주어진 식에서 OP⊥BQ가 나옵니다. R²=50, PB=14에서 cosθ_P=-0.96이고, Q는 각 2θ 위치에 있습니다. 좌표로 계산하면 |PA·QB|=7.84=196/25이므로 p+q=221입니다.", "abstain_reason": null, "time_seconds": 11.85125, "usage": { "input_tokens": 5952.375, "cached_input_tokens": 2206.75, "cache_write_input_tokens": 3491, "output_tokens": 1588.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.030065750000000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q01", "number": 1, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "남자는 수면을 돕는 앱 Nightly Journey를 소개하고 있다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q02", "number": 2, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 실내 암벽 등반이 문제 해결 능력 향상에 도움이 된다고 말한다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q03", "number": 3, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "큰 포즈를 취하면 불안감이 완화된다는 것이 요지이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q04", "number": 4, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "대화에서는 테이블 주변에 의자가 세 개라고 했는데 그림에는 의자가 두 개뿐이다. 따라서 ⑤가 일치하지 않는다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q05", "number": 5, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 오후에 재료 배송을 확인하겠다고 말한다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q06", "number": 6, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "히터 $70과 가죽 슬리퍼 2켤레 $20을 더하면 $90이고, 쿠폰은 사용할 수 없다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q07", "number": 7, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "차 모임과 겹치는 이른 비즈니스 미팅이 있어서 참석하지 못한다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q08", "number": 8, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "장소, 날짜, 상품, 신청 방법은 언급되었지만 후원 기관은 언급되지 않았다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q09", "number": 9, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "개인이 아니라 팀으로 신청해야 한다고 했으므로 ④가 일치하지 않는다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q10", "number": 10, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "$10 이하, 나무 손잡이 제외, 칼 3개 이상, 선물 상자 없음의 조건을 모두 만족하는 것은 D이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q11", "number": 11, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "딸을 돌봐 달라는 부탁에 승낙하며 운전 조심을 당부하는 ①이 알맞다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q12", "number": 12, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "직행 버스가 있는 Rosemary Amusement Park를 고르겠다는 ②가 알맞다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q13", "number": 13, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "여자가 부품만 필요하다고 했으므로 교체 부품을 바로 보내겠다는 ②가 알맞다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q14", "number": 14, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "함께 요리하자는 제안에 좋은 생각이라며 딸이 다양한 음식을 먹기를 바란다는 ③이 알맞다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q15", "number": 15, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "Olivia는 각 장소를 자전거로 직접 방문하자고 제안하려 한다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q16", "number": 16, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "과학 실험에 적합한 빨리 자라는 식물들을 소개하는 내용이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q17", "number": 17, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "bamboo, lettuce, sunflowers, peas는 언급되었고 corn은 언급되지 않았다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q18", "number": 18, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "새 동아리 개설 제안서를 이번 주 말까지 제출하라고 독려하는 글이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q19", "number": 19, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "길을 몰라 당황하던 Sophie가 익숙한 벽화를 보고 기뻐하게 되었다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q20", "number": 20, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "작사가들이 언어와 문학에 기여한 바를 인정해야 한다고 주장한다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q21", "number": 21, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "디지털 플랫폼 덕분에 일이 특정 장소에 덜 묶이게 되었다는 뜻이므로 공간적 유연성이 높아졌다는 ②이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q22", "number": 22, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "스포츠 산업에서는 협력과 경쟁 사이의 균형 잡힌 접근이 필요하다는 것이 요지이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q23", "number": 23, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "대중교통에서는 속도보다 운행 빈도가 중요하다는 내용이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q24", "number": 24, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "문화와 엔터테인먼트가 결합한 culturtainment의 경제적 이점과 문화적 본질 훼손 위험을 다루므로 ②가 알맞다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q25", "number": 25, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "Less Often 범주에서 이메일(43)이 가장 높고 전화 통화(41)가 두 번째이므로 ④는 도표와 맞지 않는다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q26", "number": 26, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "Borden Award는 1952년이지만 Morrison Award는 그 이듬해(1953년)에 받았다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q27", "number": 27, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "선정되는 학교 종소리는 네 개가 아니라 세 개이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q28", "number": 28, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "패스는 온라인으로만 구매할 수 있다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q29", "number": 29, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "문장의 주어 The package ... 뒤에 본동사가 필요하므로 being은 is가 되어야 한다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q30", "number": 30, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "경쟁에서 이기려고 유리한 점을 취한다는 문맥이므로 abandon은 gain 등이 되어야 한다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q31", "number": 31, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "정보가 수익성의 핵심이어서 비밀리에 운영했다는 흐름이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q32", "number": 32, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "글쓴이는 부재하는 독자의 반응을 예상해야 한다는 의미이며, 이는 가상 대화의 두 부분을 상상한다는 말과 연결된다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q33", "number": 33, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "설계 과정에서 사용자의 의견을 구했을 때 만족도가 높아진다는 흐름이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q34", "number": 34, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "합리적 존재가 선택하지 않을 것을 법이 금지하면 그 법은 자유에 대한 제약으로 이해된다는 뜻이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q35", "number": 35, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "자기 관리를 우선순위에 두지 못하는 문제를 다루는 글인데, 수업 등록 순서를 말하는 ④는 흐름과 무관하다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q36", "number": 36, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "주어진 글에 시계는 반복적 과정이라는 내용이 있고, (C)의 일반 설명 뒤에 (A)의 초 예시, 그 뒤에 (B)의 또 다른 예시가 이어진다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q37", "number": 37, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 7, "status": "incorrect", "answer": 3, "explanation": "(B)의 신경과학과의 협업 → (C)의 인지과학과 비경험적 접근 → (A)의 경험적 보완 필요 순서로 이어진다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement", "official_status": "incorrect", "accepted_answers": [ 4, 5 ], "benchmark_adjusted": false }, { "id": "2026-english-english-q38", "number": 38, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 5, "explanation": "내면 서사가 정체성에 깊이 뿌리내린다는 문장 뒤에 정치적 이념 사례가 이어지므로 ⑤가 알맞다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q39", "number": 39, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "현실에서도 지각에는 행동이 필요하다는 문장 뒤에서 '차이'를 설명하는 문장이 이어진다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q40", "number": 40, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "공연예술은 재정적 어려움 속에서도 이를 가치 있게 여기는 관객을 확보한다는 요약이므로 challenges / secure가 알맞다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q41", "number": 41, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 8, "status": "correct", "answer": 2, "explanation": "현존하는 의복 증거의 공백을 회화·조각 등 시각 자료가 채운다는 내용이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q42", "number": 42, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "예술 자료가 없다면 복식 전시가 어색한 모방이 될 가능성이 높다는 문맥이므로 unlikely는 likely가 되어야 한다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q43", "number": 43, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "(A) 이후 아빠의 제안과 Mia의 동의 (D), 도서관에서 책 고르기 (C), 첫 독서 모임 (B) 순서이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q44", "number": 44, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 8, "status": "correct", "answer": 3, "explanation": "(c) her는 사서이고 나머지는 Mia이다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q45", "number": 45, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "Mia는 처음에 고개를 저으며 시간이 없다고 거절했으므로 처음부터 환영했다는 설명은 틀리다.", "abstain_reason": null, "time_seconds": 1.5839555555555558, "usage": { "input_tokens": 4515.511111111111, "cached_input_tokens": 2158.8444444444444, "cache_write_input_tokens": 2279.9555555555557, "output_tokens": 243.37777777777777, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.011771708888888888, "measurement_basis": "Group request duration and usage divided equally; 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"2026-math-probability-q25", "2026-math-probability-q26", "2026-math-probability-q27", "2026-math-probability-q28", "2026-math-probability-q29", "2026-math-probability-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 109.39699999999996, "solver_time_seconds": 109.39699999999996, "usage": { "input_tokens": 53910, "cached_input_tokens": 1305.9999999999998, "cache_write_input_tokens": 48050, "output_tokens": 12617.999999999998, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.6299846999999998, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 109.39699999999996, "solver_time_seconds": 109.39699999999996, "usage": { "input_tokens": 53910, "cached_input_tokens": 1305.9999999999998, "cache_write_input_tokens": 48050, "output_tokens": 12617.999999999998, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.6299846999999998 } }, { "id": "2026-math-calculus", "title": "2026학년도 수학 · 미적분", "subject": "math", "track": "calculus", "question_ids": [ "2026-math-common-q01", "2026-math-common-q02", "2026-math-common-q03", "2026-math-common-q04", "2026-math-common-q05", "2026-math-common-q06", "2026-math-common-q07", "2026-math-common-q08", "2026-math-common-q09", "2026-math-common-q10", "2026-math-common-q11", "2026-math-common-q12", "2026-math-common-q13", "2026-math-common-q14", "2026-math-common-q15", "2026-math-common-q16", "2026-math-common-q17", "2026-math-common-q18", "2026-math-common-q19", "2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-calculus-q23", "2026-math-calculus-q24", "2026-math-calculus-q25", "2026-math-calculus-q26", "2026-math-calculus-q27", "2026-math-calculus-q28", "2026-math-calculus-q29", "2026-math-calculus-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 124.78900000000002, "solver_time_seconds": 124.78900000000002, "usage": { "input_tokens": 53942, "cached_input_tokens": 1305.9999999999998, "cache_write_input_tokens": 48066, "output_tokens": 14831.999999999998, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.6723857999999999, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 124.78900000000002, "solver_time_seconds": 124.78900000000002, "usage": { "input_tokens": 53942, "cached_input_tokens": 1305.9999999999998, "cache_write_input_tokens": 48066, "output_tokens": 14831.999999999998, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.6723857999999999 } }, { "id": "2026-math-geometry", "title": "2026학년도 수학 · 기하", "subject": "math", "track": "geometry", "question_ids": [ "2026-math-common-q01", "2026-math-common-q02", "2026-math-common-q03", "2026-math-common-q04", "2026-math-common-q05", "2026-math-common-q06", "2026-math-common-q07", "2026-math-common-q08", "2026-math-common-q09", "2026-math-common-q10", "2026-math-common-q11", "2026-math-common-q12", "2026-math-common-q13", "2026-math-common-q14", "2026-math-common-q15", "2026-math-common-q16", "2026-math-common-q17", "2026-math-common-q18", "2026-math-common-q19", "2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-geometry-q23", "2026-math-geometry-q24", "2026-math-geometry-q25", "2026-math-geometry-q26", "2026-math-geometry-q27", "2026-math-geometry-q28", "2026-math-geometry-q29", "2026-math-geometry-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 118.98099999999991, "solver_time_seconds": 118.98099999999991, "usage": { "input_tokens": 53941, "cached_input_tokens": 1305.9999999999998, "cache_write_input_tokens": 48065, "output_tokens": 13578.999999999998, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.6487803000000002, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 118.98099999999991, "solver_time_seconds": 118.98099999999991, "usage": { "input_tokens": 53941, "cached_input_tokens": 1305.9999999999998, "cache_write_input_tokens": 48065, "output_tokens": 13578.999999999998, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.6487803000000002 } }, { "id": "2026-english-english", "title": "2026학년도 영어", "subject": "english", "track": "english", "question_ids": [ "2026-english-english-q01", "2026-english-english-q02", "2026-english-english-q03", "2026-english-english-q04", "2026-english-english-q05", "2026-english-english-q06", "2026-english-english-q07", "2026-english-english-q08", "2026-english-english-q09", "2026-english-english-q10", "2026-english-english-q11", "2026-english-english-q12", "2026-english-english-q13", "2026-english-english-q14", "2026-english-english-q15", "2026-english-english-q16", "2026-english-english-q17", "2026-english-english-q18", "2026-english-english-q19", "2026-english-english-q20", "2026-english-english-q21", "2026-english-english-q22", "2026-english-english-q23", "2026-english-english-q24", "2026-english-english-q25", "2026-english-english-q26", "2026-english-english-q27", "2026-english-english-q28", "2026-english-english-q29", "2026-english-english-q30", "2026-english-english-q31", "2026-english-english-q32", "2026-english-english-q33", "2026-english-english-q34", "2026-english-english-q35", "2026-english-english-q36", "2026-english-english-q37", "2026-english-english-q38", "2026-english-english-q39", "2026-english-english-q40", "2026-english-english-q41", "2026-english-english-q42", "2026-english-english-q43", "2026-english-english-q44", "2026-english-english-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 45, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 60.973999999999954, "solver_time_seconds": 60.973999999999954, "usage": { "input_tokens": 99938.00000000006, "cached_input_tokens": 652.9999999999998, "cache_write_input_tokens": 95837.00000000001, "output_tokens": 5956.000000000002, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.8824771999999994, "adjusted_correct": 1 }, "official_summary": { "total_questions": 45, "correct": 44, "incorrect": 1, "abstained": 0, "errors": 0, "pending": 0, "score": 97, "max_score": 100, "accuracy": 97.77777777777777, "abstention_rate": 0, "attempt_accuracy": 97.77777777777777, "wall_time_seconds": 60.973999999999954, "solver_time_seconds": 60.973999999999954, "usage": { "input_tokens": 99938.00000000006, "cached_input_tokens": 652.9999999999998, "cache_write_input_tokens": 95837.00000000001, "output_tokens": 5956.000000000002, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.8824771999999994 } } ], "questions": [ { "id": "2026-korean-common-q01", "number": 1, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "단순 관점은 해독 발달에 글 읽기 경험과 말소리 듣기 경험이 모두 필요하다고 본다. 말소리 듣기보다 독서 경험이 먼저라는 선후 관계는 글에 없다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q02", "number": 2, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "글은 단순 관점이 의미를 이해하기까지 머릿속에서 어떤 과정을 거치는지 설명하지 않는다고 밝힌다. 따라서 이 점을 지적하는 ⑤가 적절한 비판이다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q03", "number": 3, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "B는 활동 자료를 글로 읽을 때 중심 내용을 파악하지 못했다. 그러므로 글 읽기 경험을 통해 중심 내용을 파악하게 되었다는 해석은 맞지 않는다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q04", "number": 4, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "(가)는 문리 해석, 체계적 해석, 역사적 해석을 구분해 제시한다. (나)는 보증 계약에 관한 규범의 주요 내용을 차례로 늘어놓는다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q05", "number": 5, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "교환 대상의 값어치가 일치해야 계약이 체결된다는 내용은 (가)에 없다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q06", "number": 6, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "보증 계약의 당사자는 채권자와 보증인이다. 보증인에게 대가를 주기로 한 주채무자는 보증 계약의 당사자가 아니므로 보증 계약은 여전히 유상 계약이 아니다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q07", "number": 7, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "주채무가 실현되어 소멸하면 보증 채무도 함께 소멸한다. 따라서 연대 보증인도 더 이상 이행할 의무가 없다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q08", "number": 8, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "연대 보증 특약이 없는 보증인은 주채무자에게 강제 집행 대상 재산이 있음을 증명하면 이행을 거절할 수 있다. 따라서 병이 지급을 거절할 수 없다는 진술은 틀리다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q09", "number": 9, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "ⓔ '규정하고'는 내용을 정하여 밝힌다는 뜻이다. 잘못을 고친다는 뜻의 '바로잡고'로 바꿔 쓸 수 없다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q10", "number": 10, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 4, "status": "correct", "answer": 5, "explanation": "반응 완료 시간은 띠가 얇을수록 짧다. 따라서 띠가 얇을수록 휨이 빨리 완료된다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q11", "number": 11, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "온도를 내리면 선형 열팽창 계수가 큰 물질이 더 많이 수축한다. 그래서 띠는 계수가 작은 쪽이 아니라 큰 쪽으로 휜다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q12", "number": 12, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "힘이 소멸하는 시점은 최대 곡률에 도달한 때이다. 온도 변화량이 클수록 띠가 더 휘므로 T2로 올렸을 때 a와 b 모두 그 곡률이 더 크다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q13", "number": 13, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "ⓐ는 계산의 결과로 값을 얻는다는 뜻이므로 '근사치를 얻었다'와 같다. ⓑ는 원래 상태로 되돌아온다는 뜻이므로 '고향으로 돌아왔다'와 같다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q14", "number": 14, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "롱게네스는 자율성이 시공간적 세계 안에서 스스로 선택하는 것이라고 본다. 그러려면 신체가 있고 살아 있어야 한다고 했다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q15", "number": 15, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "[A]는 두 전제를 잇는 '의식'이라는 개념이 실재성과 관련해 서로 다른 의미를 가진다고 설명한다. 그래서 결론이 도출되지 않는다는 것이므로 ①에 대한 답을 찾을 수 있다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q16", "number": 16, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "스트로슨은 자아에 대한 인식이 경험적 인식들로부터 추상화된다고 본다. 경험적 인식이 자아 인식에 의존한다는 진술은 이를 거꾸로 말한 것이다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q17", "number": 17, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "칸트 이전의 유력한 견해는 '생각하는 나'인 영혼이 시간 속에 지속한다는 것으로 인격의 동일성을 설명했다. 따라서 그것만으로는 동일성이 보장되지 않는다는 갑의 입장은 이 견해에서 옳지 않다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q18", "number": 18, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "자신의 정체를 먼저 밝힌 쪽은 '이 산중 지키는 호 생원'이라고 한 호랑이다. 자라는 호랑이가 명색을 물은 뒤에 별주부라고 밝혔다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q19", "number": 19, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 7, "status": "correct", "answer": 4, "explanation": "㉠은 자라가 '호 생원'을 부른 자신의 행위로 위험에 빠진 공간이다. ㉡은 자라가 위기를 벗어나려고 지어낸 내력 속에서 언급한 공간이다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q20", "number": 20, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "ⓒ는 잡아먹겠다는 호랑이의 말에 자라가 보인 반응이다. ⓕ는 자라에게 물린 호랑이의 반응이므로 둘 다 상대의 말이나 행동으로 생긴 위기에서 서로 다른 주체가 보인 반응이다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q21", "number": 21, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "호랑이의 탐식을 생각하며 자라가 '동의보감'을 떠올리는 장면이다. 이를 명약을 탐하는 속내를 지식으로 숨기는 위선적 인간에 대한 비판으로 보기는 어렵다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q22", "number": 22, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "(나)는 '~라면'과 같은 가정적 표현으로 감의 속성을 드러낸다. (다)는 '좋아하면 아름다운 소리', '게을리하지 않는다면' 같은 가정으로 대상의 속성을 드러낸다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q23", "number": 23, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "'밤을 지키는' 이는 화자가 찾는 함께하던 존재이다. 그 발자국 소리가 들리지 않는다는 것은 상실을 뜻하며, 그의 눈을 피해 다닌다는 해석은 틀리다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q24", "number": 24, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "correct", "answer": 4, "explanation": "㉣ '좋은 소리'는 남이 듣기 좋고 글로 쓰였으며 바름에 합당한 소리로 정의된다. 바른 것 같으면서 삿된 것일 수 있는 대상이 아니다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q25", "number": 25, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "correct", "answer": 4, "explanation": "화자는 땡감이 자라는 동안 흰 구름을 이고 장대비를 맞아 보는 일을 유의미하게 여긴다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q26", "number": 26, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 9, "status": "correct", "answer": 2, "explanation": "(다)에서 좋은 소리는 상반된 특성들이 균형을 이룬 소리가 아니다. 듣기 좋고 글로 쓰였으며 바름에 합당한 소리이다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q27", "number": 27, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "[A]에서 허명두는 협박에 맞서 증오를 억누르며 대응한다. 에둘러 말해 온 씨의 관심을 다른 데로 돌리는 장면은 없다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q28", "number": 28, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "온 씨는 ⓑ 소문을 듣고 허명두를 찾아가 만났다. 이후 퍼뜨린 ⓐ 이야기에는 그 만남에서 확인한 내용이 담겨 있다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q29", "number": 29, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 11, "status": "correct", "answer": 1, "explanation": "독가촌은 고속도로와 이어질 교통 요충지가 되고 관광지 조건을 갖추면서 하루아침에 각광을 받게 되었다. 이후 외부 기업 측의 주택 매입 요청이 있었다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q30", "number": 30, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 11, "status": "correct", "answer": 3, "explanation": "㉢ 뒤에서 허명두는 온 씨의 주장이 옳다고 인정한다. 변화의 원인을 다르게 본다는 서술은 근거가 없다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q31", "number": 31, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 12, "status": "correct", "answer": 2, "explanation": "(가)는 '여러 달 주리다가'와 '여러 날 칩떨다가'의 대구, '고맙단 이 잠깐이오 원수는 대대로다'의 대조를 함께 쓴다. 이를 통해 어사로서 겪는 괴로운 처지를 드러낸다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q32", "number": 32, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 12, "status": "correct", "answer": 4, "explanation": "'너 언제 날 알더냐'는 부사와 화자 사이에 옛 인연이 없었음을 뜻한다. 부사는 화자가 술을 즐긴다는 말을 듣고 미리 술을 준비한 것이다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q33", "number": 33, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 12, "status": "correct", "answer": 1, "explanation": "ⓐ 방패연에는 여러 시름을 적었다. 화자는 실 한 꾸리를 끝까지 풀어 이 연을 멀리 떠나보내려 한다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q34", "number": 34, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 12, "status": "correct", "answer": 3, "explanation": "(다)의 화자는 연줄을 길게 대어 먼 데 임을 자기 쪽으로 '낚아 올까' 한다. 임에게 가려 한다는 해석은 틀리다.", "abstain_reason": null, "time_seconds": 3.976029411764706, "usage": { "input_tokens": 1494.5882352941176, "cached_input_tokens": 0, "cache_write_input_tokens": 1404.7941176470588, "output_tokens": 405.2647058823529, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019337944117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q35", "number": 35, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 13, "status": "correct", "answer": 2, "explanation": "발표자는 전문가의 견해를 인용하지 않습니다. 대신 개념 설명, 지난 수업 경험 환기, 청중과의 질의응답, 청중에게 관심을 당부하는 마무리는 모두 나타납니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q36", "number": 36, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 13, "status": "correct", "answer": 5, "explanation": "[자료3]은 풍혈지에서 발견된 북방계 식물 목록에 희귀 식물 해당 여부를 표시한 자료이므로 ⓒ의 설명과 맞습니다. [자료2]는 다른 군이 아니라 같은 군 전체의 평균 기온과 비교한 자료입니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q37", "number": 37, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "학생3은 발표에서 들은 풍혈지 설명이 자기 보고서에 도움이 되겠다고 했으므로, 정보를 유용성 측면에서 평가한 것입니다. 학생1은 풍혈지가 해발 고도가 낮은 곳에 있다는 내용을 잘못 이해했지만, 학생2는 발표 내용을 정확히 이해했습니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q38", "number": 38, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "(나)에서도 학생1이 나머지 두 명에게 방송을 봤는지, 원인을 어떻게 생각하는지 물으며 발언을 요청합니다. 따라서 ①의 '(나)와 달리'라는 설명은 맞지 않습니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q39", "number": 39, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "㉡에서 학생2는 웹툰 영상화의 유행을 방송을 보고 체감했다고 말합니다. 상대방의 발언을 통해 알게 된 것이 아니므로 ②의 설명은 맞지 않습니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q40", "number": 40, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "학생3은 전문가2가 말한 추가 수익 창출 기회를 언급하며, 창작자가 경제적 안정을 얻어 좋은 작품에 전념할 수 있다고 했습니다. (다)의 3문단은 이 의견을 활용해 부정적 관점을 반박합니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q41", "number": 41, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "(다)는 웹툰 영상화가 미치는 영향을 영상 산업과 웹툰 산업으로 나누어 서술합니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q42", "number": 42, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "고쳐 쓴 글에 추가된 것은 웹툰 창작과 창의적 각색을 위한 노력입니다. 영상업계의 노력에 관한 내용을 새로 추가한 것은 아닙니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q43", "number": 43, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 16, "status": "correct", "answer": 3, "explanation": "③은 정서적 어려움인 불안, 이를 완화하는 태도인 자기 수용, 그로 인한 긍정적 변화인 심리적 안정을 모두 담고 있습니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q44", "number": 44, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 16, "status": "correct", "answer": 2, "explanation": "초고에는 완벽주의적 자기 제시 성향의 장단점을 설명하는 내용이 없습니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q45", "number": 45, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 16, "status": "correct", "answer": 5, "explanation": "초고에서 불안은 완벽주의적 자기 제시 성향에서 비롯된 것이지 정서 조절의 실패에서 비롯된 것이 아닙니다. 따라서 ⑤의 활용 방안은 적절하지 않습니다.", "abstain_reason": null, "time_seconds": 3.1764545454545456, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 307.45454545454544, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.018600245454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q35", "number": 35, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "한글 24자모 가운데 자음자는 각각 하나의 소리를 나타냅니다. 두 소리의 연쇄인 이중 모음을 나타내는 것은 'ㅛ' 같은 모음자뿐이므로 ③이 틀렸습니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q36", "number": 36, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 17, "status": "correct", "answer": 2, "explanation": "'ㅺ'이 된소리 [k']를 나타냈듯이 'ㅴ'의 'ㅼ'도 된소리 [t']를 나타냈습니다. 따라서 현대 'ㄸ'과 형식은 다르지만 내용은 같으므로 ②가 틀렸습니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q37", "number": 37, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 17, "status": "correct", "answer": 4, "explanation": "④에는 관형사 '온갖', 높임 선어말 어미 '-시-'가 있습니다. 또 자릿수가 하나인 '길어지다'와 둘인 '하다'가 모두 들어 있습니다. ⑤의 '다셨다'에서 '시'는 어간 '다시-'의 일부이므로 높임 표현이 아닙니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q38", "number": 38, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 18, "status": "correct", "answer": 4, "explanation": "㉦ '그건'은 앞에서 말한 간식 준비의 어려움을, ㉧ '그건'은 앞에서 말한 분담 문제를 가리킵니다. 둘 다 앞에서 이미 이야기한 내용을 가리키므로 ④가 맞습니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q39", "number": 39, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 18, "status": "correct", "answer": 1, "explanation": "'시작되다'는 명사 '시작'에 '-되-'가 붙어 동사가 되었습니다. '낮추다'는 형용사 '낮-'에 '-추-'가 붙어 동사가 되었으므로 둘 다 어근과 다른 품사의 단어를 파생했습니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q40", "number": 40, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "(나)에는 좌절한 감정을 나타내는 그림이 글의 정보를 보완하고 있습니다. (가)에는 그런 그림이 없으므로 ②가 맞습니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q41", "number": 41, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "'동동'은 재신청 불가 기간이 아니라 수령 기간을 10업무일 정도로 늘려 달라고 건의할 계획을 밝혔습니다. 따라서 ④가 틀렸습니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q42", "number": 42, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 19, "status": "correct", "answer": 5, "explanation": "카드 4의 달력 이미지는 '수신일+3업무일'이라는 수령 기간을 보여 줍니다. 수령 시간에 대한 내용이 아니므로 ⑤가 틀렸습니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q43", "number": 43, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "ⓑ의 '아니겠어요?'는 응답을 요구하는 질문이 아닙니다. 뜻밖의 상황에 대한 놀라움을 드러내는 수사적 표현이므로 ②가 틀렸습니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q44", "number": 44, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 20, "status": "correct", "answer": 4, "explanation": "혜정은 공유 화면을 아래로 내려 달라고 요청했습니다. 다겸이 화면 공유 권한을 넘긴 내용은 없으므로 ④가 틀렸습니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q45", "number": 45, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 20, "status": "correct", "answer": 3, "explanation": "공간의 제약을 극복하는 방법으로 대화에서는 '더 보기'를 눌러 새 창에서 보여 주기로 했습니다. (나)도 그렇게 구성되어 있으므로 상세 내용을 아래로 펼친다는 ③이 틀렸습니다.", "abstain_reason": null, "time_seconds": 3.677636363636364, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 371.90909090909093, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019411145454545455, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q01", "number": 1, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "9^(1/4)=3^(1/2)이므로 3^(1/2)×3^(-1/2)=1입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q02", "number": 2, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "주어진 극한은 f'(1)입니다. f'(x)=9x^2+4이므로 f'(1)=13입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q03", "number": 3, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "2Σa_k-(1+2+3+4)=0이므로 2Σa_k=10이고 Σa_k=5입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q04", "number": 4, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "x=1에서 연속이려면 3·1-2=1-3+a여야 하므로 a=3입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q05", "number": 5, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "f'(x)=(2x^2-x-2)+(x+2)(4x-1)이므로 f'(1)=-1+9=8입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q06", "number": 6, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "b=a^3이므로 log_3(a^2)=1/2이고 log_3 a=1/4입니다. 따라서 log_9(ab)=log_3(a^4)/2=1/2입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q07", "number": 7, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "넓이는 ∫0^2 (6/5)x^2 dx=(6/5)(8/3)=16/5입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q08", "number": 8, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "cos(π-θ)>0이므로 cosθ<0입니다. tanθ=-3이므로 sinθ>0이고 sinθ=3√10/10입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "f'(x)=3(x+3a)(x-a)이므로 극댓값은 f(-3a)=27a^3+4입니다. 이것이 5이므로 a=1/3이고, f(2)=8+4-2+4=14입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "A의 x좌표를 t라 하면 AB=BC에서 a^t-2=2이므로 a^t=4입니다. 삼각형 AOC의 넓이는 (1/2)·4·t=8이므로 t=4이고 a=√2입니다. 따라서 a×OB=4√2=2^(5/2)입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "ㄱ: k=0이면 위치는 1/3+4=13/3이므로 참입니다. ㄴ: k=3이면 v(t)=t^2-3t+4의 판별식이 음수라 v(t)>0이므로 방향이 바뀌지 않아 거짓입니다. ㄷ: k=5이면 v=(t-1)(t-4)이고 움직인 거리는 11/6+7/6=3이므로 참입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "correct", "answer": 2, "explanation": "공비를 r, q=r^3이라 하면 2a_1(1+q+q^2)=a_1q(1+q+q^2)이므로 q=2입니다. a_1·2·7=6에서 a_1=3/7이고, a_10=a_1q^3=24/7입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "접선 l은 y=-2x-4입니다. g'(1)=f(1)-f'(1)=-6+2=-4이므로 접선 m은 y=-4x+10입니다. 두 직선은 x=7에서 만나므로 넓이는 14·7/2=49입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "AG=AE=2, AC=5, CG=2√6에서 cos∠CAG=1/4이고 EG=√6입니다. 이를 이용하면 원 CEG의 지름은 2R=CG/sin∠CEG=8√3/√5입니다. 따라서 GH=2R·sin∠BAC=(8√3/√5)(4/5)=32√15/25입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "h'(x)=g(x)-f(x)는 x≥1에서 항상 한 번 부호가 바뀝니다. x<-1에서 x^2+ax+a가 부호를 바꾸지 않으려면 a≤4이므로 k=4입니다. 이때 h(3)=1/6+10/3=7/2이므로 k+h(3)=15/2입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "a_2=1·1+1=2이고, a_3=4·2+1=9입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "F(x)=x^4-x^2+4이므로 F(2)=16-4+4=16입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "sin(∠BAC)=4/5이므로 넓이는 (1/2)·5·6·(4/5)=12입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "[-2,2]에서 f(x)=2x^3+3x^2-12x-8의 최댓값은 f(-2)=12, 최솟값은 f(1)=-15입니다. 따라서 k≥15이고 최솟값은 15입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "correct", "answer": 130, "explanation": "(가)는 n/3이므로 f(12)=4입니다. n=2를 대입하면 a_2=10이므로 p=10입니다. 2a_n+a_{n+1}=n을 이용하면 q=7+10+Σ_{k=1}^{5}(2k+1)=52이므로 pq/f(12)=520/4=130입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "correct", "answer": 65, "explanation": "조건 (가)에서 f(0)=f(2)=0이고, 연속성에서 f(t)=0이므로 f(x)=cx(x-2)(x-β)입니다. 조건 (나)를 분석하면 t=2, 3<β≤4이고 집합은 {2,3}이어야 합니다. 3c(1+β)=3, (7/2)c(β-1)=2를 풀면 β=11/3, c=3/14이므로 g(-5)=-f(-5)=65입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q22", "number": 22, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 457, "source_page": 8, "status": "correct", "answer": 457, "explanation": "B=(7/2, 63/2), A=(63/4, 7/4)로 두면 중점 조건을 만족합니다. 또 b=log_16(128)=7/4이고, 대칭점 (7/4, 63/4)가 직선 OB(기울기 9) 위에 있어 모든 조건이 성립합니다. 따라서 ab=441/16이고 p+q=457입니다.", "abstain_reason": null, "time_seconds": 3.240727272727273, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 390.6818181818182, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019174913636363637, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q23", "number": 23, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 9, "status": "correct", "answer": 3, "explanation": "중복순열이므로 경우의 수는 4^3=64입니다.", "abstain_reason": null, "time_seconds": 4.762625, "usage": { "input_tokens": 2374.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.125, "output_tokens": 502.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.026017075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q24", "number": 24, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "P(A∩B)=2/5×1/4=1/10입니다. 1=2/5+P(B)-1/10이므로 P(B)=7/10입니다.", "abstain_reason": null, "time_seconds": 4.762625, "usage": { "input_tokens": 2374.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.125, "output_tokens": 502.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.026017075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q25", "number": 25, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 10, "status": "correct", "answer": 2, "explanation": "전체 경우는 C(10,2)=45입니다. 같은 색인 경우는 10+10=20, 수가 같은 경우는 2,3,4,5의 4가지이고 둘이 겹치지 않으므로 확률은 24/45=8/15입니다.", "abstain_reason": null, "time_seconds": 4.762625, "usage": { "input_tokens": 2374.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.125, "output_tokens": 502.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.026017075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q26", "number": 26, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "신뢰구간의 길이는 2×2.58×5/6=4.3입니다. 따라서 a=1.2+4.3=5.5입니다.", "abstain_reason": null, "time_seconds": 4.762625, "usage": { "input_tokens": 2374.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.125, "output_tokens": 502.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.026017075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q27", "number": 27, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 11, "status": "correct", "answer": 4, "explanation": "확률의 합이 1이므로 a=1/6입니다. E(X)=5/2, E(X²)=15/2이므로 V(X)=5/4이고, V(6X)=36×5/4=45입니다.", "abstain_reason": null, "time_seconds": 4.762625, "usage": { "input_tokens": 2374.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.125, "output_tokens": 502.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.026017075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q28", "number": 28, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 11, "status": "correct", "answer": 2, "explanation": "한 번에 넣는 공의 개수는 k가 홀수이면 3개, k=2이면 2개, k=4이면 3개, k=6이면 4개입니다. 공의 총합이 홀수인 경우는 640가지이고, 그중 3번 상자가 2번 상자보다 1개 많은 경우는 12+108=120가지이므로 확률은 120/640=3/16입니다.", "abstain_reason": null, "time_seconds": 4.762625, "usage": { "input_tokens": 2374.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.125, "output_tokens": 502.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.026017075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q29", "number": 29, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 977, "source_page": 12, "status": "correct", "answer": 977, "explanation": "한 번의 시행에서 3을 기록할 확률은 p=(2+a/2)/16이고 19200p=4800에서 a=4입니다. X의 표준편차는 √(19200×1/4×3/4)=60이므로 P(X≤4920)=P(Z≤2)=0.977입니다.", "abstain_reason": null, "time_seconds": 4.762625, "usage": { "input_tokens": 2374.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.125, "output_tokens": 502.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.026017075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q30", "number": 30, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 262, "source_page": 12, "status": "correct", "answer": 262, "explanation": "공이 1개인 주머니가 6개이고 2개인 주머니가 1개인 경우는 112가지입니다. 공이 1개인 주머니가 4개이고 2개인 주머니가 2개인 경우는 0과 1을 먼저 나열한 뒤 2를 넣을 수 있는 자리를 세어 150가지이므로 합은 262입니다.", "abstain_reason": null, "time_seconds": 4.762625, "usage": { "input_tokens": 2374.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.125, "output_tokens": 502.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.026017075, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q23", "number": 23, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "x→0일 때 tan 6x/(2x) → 6x/(2x) = 3입니다.", "abstain_reason": null, "time_seconds": 6.686625, "usage": { "input_tokens": 2378.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.125, "output_tokens": 779.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.03131721249999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q24", "number": 24, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 13, "status": "correct", "answer": 4, "explanation": "[0, π/2]에서 cos x ≥ 0이므로 √(sin x − sin³x) = √(sin x)·cos x입니다. 따라서 적분값은 [(2/3)sin^{3/2}x]를 0부터 π/2까지 계산한 2/3입니다.", "abstain_reason": null, "time_seconds": 6.686625, "usage": { "input_tokens": 2378.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.125, "output_tokens": 779.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.03131721249999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q25", "number": 25, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 14, "status": "correct", "answer": 3, "explanation": "주어진 부등식의 양 끝을 n으로 나누면 모두 5로 수렴하므로, 조임정리에 의해 a_n/n → 5입니다. 따라서 극한은 25/(5+5) = 5/2입니다.", "abstain_reason": null, "time_seconds": 6.686625, "usage": { "input_tokens": 2378.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.125, "output_tokens": 779.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.03131721249999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q26", "number": 26, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "한 변의 길이가 y인 정삼각형의 넓이는 (√3/4)(x + x ln x)입니다. 이를 1부터 2까지 적분하면 (√3/4)(3/2 + 2ln2 − 3/4) = √3(3 + 8ln2)/16입니다.", "abstain_reason": null, "time_seconds": 6.686625, "usage": { "input_tokens": 2378.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.125, "output_tokens": 779.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.03131721249999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q27", "number": 27, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "직선의 식에 대입하면 −5e^{4t} = −5e이므로 t = 1/4입니다. 이때 dx/dt = e(6+π), dy/dt = e(3π−2)이므로 접선의 기울기는 (3π−2)/(π+6)입니다.", "abstain_reason": null, "time_seconds": 6.686625, "usage": { "input_tokens": 2378.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.125, "output_tokens": 779.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.03131721249999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q28", "number": 28, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "f'(x) = x²/(1+x)이므로 두 점 사이의 거리는 t = s·f'(s) = s³/(1+s)이고, g는 이 함수의 역함수입니다. h(1) = 1/2, h(3) = 27/4이므로 역함수 적분 공식에 의해 81/4 − 1/2 − (20/3 − ln2) = 157/12 + ln2입니다.", "abstain_reason": null, "time_seconds": 6.686625, "usage": { "input_tokens": 2378.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.125, "output_tokens": 779.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.03131721249999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q29", "number": 29, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 97, "source_page": 16, "status": "correct", "answer": 97, "explanation": "a_n = an으로 놓고 등비중항 조건을 풀면 a = 1/4이고, b_{k+1}, b_{k+2}, b_{k+3}은 3, 1, 1/3(공비 1/3)입니다. Σ1/(a_n a_{n+1}) = 16이므로 부등식은 0 < 3^{k+2}/2 − 16 < 30이 되어 k = 2, b_1 = 27입니다. 따라서 Σb_{2n} = 81/8이고 a_2 = 1/2이므로 값은 81/16, p+q = 97입니다.", "abstain_reason": null, "time_seconds": 6.686625, "usage": { "input_tokens": 2378.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.125, "output_tokens": 779.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.03131721249999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q30", "number": 30, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 11, "source_page": 16, "status": "correct", "answer": 11, "explanation": "f⁻¹(x)는 |x| ≤ 1에서 (5x − x³)/2, x > 1에서 e^{x−1}+1인 증가 홀함수입니다. 교점 개수를 분석하면 m ≤ 0에서 1, 0 < m < b에서 3, m = b에서 2, m > b에서 1이므로 불연속점은 a = 0, b = v/2(단, ve^v = 2)입니다. ln b = −v이므로 (ln b/b)² = 4이고, 구하는 값은 1×3 + 2×4 = 11입니다.", "abstain_reason": null, "time_seconds": 6.686625, "usage": { "input_tokens": 2378.875, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.125, "output_tokens": 779.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.03131721249999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q23", "number": 23, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "a+b=(3,0)이므로 성분의 합은 3입니다.", "abstain_reason": null, "time_seconds": 5.960625, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 623, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.028366525, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q24", "number": 24, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 17, "status": "correct", "answer": 1, "explanation": "4p=12에서 p=3입니다. 초점과 준선 사이의 거리는 2p=6입니다.", "abstain_reason": null, "time_seconds": 5.960625, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 623, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.028366525, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q25", "number": 25, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 18, "status": "correct", "answer": 5, "explanation": "B(-3,-3/2,-2), C(-3,3/2,2)입니다. 따라서 BC=√(0+9+16)=5입니다.", "abstain_reason": null, "time_seconds": 5.960625, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 623, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.028366525, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q26", "number": 26, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 18, "status": "correct", "answer": 2, "explanation": "접선은 x-√2y=-a이므로 P(0,a/√2)이고, 초점은 (0,±√2a)입니다. PF×PF'=(a/√2)(3a/√2)=3a²/2=8에서 a=4√3/3입니다.", "abstain_reason": null, "time_seconds": 5.960625, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 623, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.028366525, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q27", "number": 27, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "AD=BC이므로 CD를 밑면에 정사영하면 AB와 평행한 등변사다리꼴이 되고, CD와 AB 사이의 평면 거리는 2입니다. 사각형 넓이는 4√(4+h²), 삼각형 ABH 넓이는 5이므로 4√(4+h²)=20에서 h=√21입니다.", "abstain_reason": null, "time_seconds": 5.960625, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 623, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.028366525, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q28", "number": 28, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "조건에서 H는 CD의 중점이고, 좌표를 잡으면 구 S의 반지름은 2√3/3, AG=4√3/3입니다. T는 A에서 구에 그은 접점들이 이루는 반지름 1인 수평 원이고, 이 원의 평면과 평면 ABC가 이루는 각의 cos값이 1/4이므로 정사영 넓이는 π/4입니다.", "abstain_reason": null, "time_seconds": 5.960625, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 623, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.028366525, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q29", "number": 29, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 360, "source_page": 20, "status": "correct", "answer": 360, "explanation": "타원의 대칭성에 의해 둘레는 AH+2a=4p이므로 4p=p+27에서 p=9입니다. 넓이 조건 (x+9)·6√x=60에서 A(1,6), H(-9,6)이므로 k²=18²+6²=360입니다.", "abstain_reason": null, "time_seconds": 5.960625, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 623, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.028366525, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q30", "number": 30, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 221, "source_page": 20, "status": "correct", "answer": 221, "explanation": "원의 중심을 원점으로 두면 주어진 조건은 P·Q=P·B와 같고, |PB|=14에서 P·B=-48입니다. Q는 직선 OP에 대한 B의 대칭점이므로 B·Q=50cos2θ=1054/25입니다. 따라서 PA·QB=-50+1054/25=-196/25이고, 그 절댓값이 196/25이므로 p+q=221입니다.", "abstain_reason": null, "time_seconds": 5.960625, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 623, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.028366525, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q01", "number": 1, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "남자는 잠을 잘 자도록 돕는 앱 Nightly Journey를 소개하고 써 보라고 권합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q02", "number": 2, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 실내 암벽 등반이 문제 해결 능력을 길러 준다고 말합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q03", "number": 3, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "남자는 큰 포즈를 취하면 불안감이 줄어든다고 말합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q04", "number": 4, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "대화에서는 탁자 주위에 의자가 세 개 있다고 했는데, 그림 속 의자는 세 개가 아닙니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q05", "number": 5, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 파이 재료 배송을 오늘 오후에 확인하겠다고 말합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q06", "number": 6, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "중형 히터 70달러에 가죽 슬리퍼 두 켤레 20달러를 더하면 90달러이고, 쿠폰은 쓸 수 없습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q07", "number": 7, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 티 클럽과 시간이 겹치는 이른 비즈니스 미팅이 있다고 말합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q08", "number": 8, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "장소, 날짜, 상품, 신청 방법은 나오지만 후원 기관은 나오지 않습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q09", "number": 9, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "개인이 아니라 팀으로 신청해야 한다고 했습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q10", "number": 10, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "10달러 이하, 나무 손잡이 제외, 칼 3개 이상, 선물 상자 없음의 조건을 모두 만족하는 것은 D입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q11", "number": 11, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 10분 뒤 도착하고 남자 가족은 30분 뒤 떠나므로, 아이를 봐 주겠다며 운전 조심하라고 하는 답이 맞습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q12", "number": 12, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 직행 버스가 있는 곳을 고르겠다고 했으므로, 그 장소를 고르겠다는 답이 맞습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q13", "number": 13, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "여자는 의자 키트 전체가 필요 없다고 했으므로, 교체 부품만 바로 보내 주겠다는 답이 맞습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q14", "number": 14, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "딸과 함께 식사를 준비해 보라는 제안에 좋은 생각이라며 딸이 여러 음식을 먹어 보길 바란다는 답이 맞습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q15", "number": 15, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "Olivia는 각 장소에 직접 자전거를 타고 가 보자고 제안하려 합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q16", "number": 16, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "빨리 자라서 과학 실험에 쓰이는 식물들을 소개하는 내용입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q17", "number": 17, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "대나무, 상추, 해바라기, 완두콩은 나오지만 옥수수는 나오지 않습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q18", "number": 18, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "새로 만들고 싶은 동아리 제안서를 이번 주까지 제출하라고 독려하는 글입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q19", "number": 19, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "처음에는 길을 몰라 혼란스러워하다가 어릴 적 살던 집을 찾고 기뻐합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q20", "number": 20, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "작사가들이 언어와 문학에 기여한 바를 인정해야 한다고 주장합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q21", "number": 21, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "디지털 플랫폼 덕분에 일이 특정 장소에 묶이지 않게 되어 공간적 유연성이 커졌다는 뜻입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q22", "number": 22, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "스포츠 산업에서는 협력과 경쟁을 균형 있게 함께 추구해야 한다는 요지입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q23", "number": 23, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "대중교통에서는 속도보다 운행 빈도가 중요하다는 내용입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q24", "number": 24, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "컬처테인먼트의 경제적 이익과 본래 메시지(정체성) 사이의 균형을 다룬 글이므로 'Cash or Soul?'이 제목으로 맞습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q25", "number": 25, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "Less Often 항목에서 이메일은 43%로 두 번째가 아니라 가장 높습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q26", "number": 26, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "Morrison Award는 1952년이 아니라 그 이듬해인 1953년에 받았습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q27", "number": 27, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "학생 투표로 선정되는 종소리는 네 개가 아니라 세 개입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q28", "number": 28, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "패스는 온라인으로만 구매할 수 있다고 되어 있습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q29", "number": 29, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "주어 'The package'에 대한 본동사가 필요하므로 being이 아니라 is가 되어야 합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q30", "number": 30, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "경쟁 우위를 버리는(abandon) 것이 아니라 얻기(gain) 위해서라는 뜻이어야 합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q31", "number": 31, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "수급 정보가 수익성의 핵심이었기 때문에 회사들이 비밀리에 운영했다는 흐름입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q32", "number": 32, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "글에는 즉각적인 피드백이 없으므로, 작가는 그 자리에 없는 독자의 반응을 예상하며 가상 대화의 양쪽을 상상해야 합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q33", "number": 33, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "사용자들을 설계 과정에 참여시켜 의견을 들으면 새 건물에 대한 만족도가 높아진다는 흐름입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q34", "number": 34, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "법이 어차피 합리적으로 선택하지 않을 행동만 금지한다면, 그 법을 자유에 대한 제약으로 볼 수 없습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q35", "number": 35, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "목공 수업을 먼저 신청하라는 문장은 자기 관리의 우선순위라는 글의 흐름과 관계가 없습니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q36", "number": 36, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "(C) 시계는 반복 과정이라는 일반 설명, (A) 예외처럼 보이는 양초도 반복 과정, (B) 방사성 탄소 연대 측정도 같은 경우 순서입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q37", "number": 37, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 4, "explanation": "(C) 철학은 비경험적 접근이라는 설명, (A) 그래서 경험적 연구의 보완이 필요하다는 내용, (B) 철학과 신경과학의 협력 필요성 순서입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement", "official_status": "incorrect", "accepted_answers": [ 4, 5 ], "benchmark_adjusted": true }, { "id": "2026-english-english-q38", "number": 38, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 5, "explanation": "내러티브가 정체성에 뿌리내린다는 문장 뒤에, 정치적 이념(정체성)과 관련된 예시가 이어져야 합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q39", "number": 39, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "'현실에서처럼 지각에는 행동이 필요하다'는 문장 뒤에, 차이점은 아바타를 통해서만 행동할 수 있다는 점이라는 문장이 와야 합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q40", "number": 40, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "외부 자금에 의존해 재정적 어려움(challenges)을 겪지만, 공연 예술은 여전히 관객을 확보(secure)합니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q41", "number": 41, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 8, "status": "correct", "answer": 2, "explanation": "남아 있는 의복이 적어 생기는 의복사의 공백을 시각 자료가 채워 준다는 내용입니다.", "abstain_reason": null, "time_seconds": 1.3549777777777776, "usage": { "input_tokens": 2220.8444444444444, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.711111111111, "output_tokens": 132.35555555555555, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.019610604444444443, "measurement_basis": "Group request duration and usage divided equally; 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"adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 226.05700000000007, "solver_time_seconds": 226.05700000000007, "usage": { "input_tokens": 53944.99999999999, "cached_input_tokens": 1305.9999999999998, "cache_write_input_tokens": 48068.999999999985, "output_tokens": 54797.00000000001, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.03748235999999999 } }, { "id": "2026-math-geometry", "title": "2026학년도 수학 · 기하", "subject": "math", "track": "geometry", "question_ids": [ "2026-math-common-q01", "2026-math-common-q02", "2026-math-common-q03", "2026-math-common-q04", "2026-math-common-q05", "2026-math-common-q06", "2026-math-common-q07", "2026-math-common-q08", "2026-math-common-q09", "2026-math-common-q10", "2026-math-common-q11", "2026-math-common-q12", "2026-math-common-q13", "2026-math-common-q14", "2026-math-common-q15", "2026-math-common-q16", "2026-math-common-q17", "2026-math-common-q18", "2026-math-common-q19", "2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-geometry-q23", "2026-math-geometry-q24", "2026-math-geometry-q25", "2026-math-geometry-q26", "2026-math-geometry-q27", "2026-math-geometry-q28", "2026-math-geometry-q29", "2026-math-geometry-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 214.5840000000001, "solver_time_seconds": 214.5840000000001, "usage": { "input_tokens": 53945.99999999999, "cached_input_tokens": 1305.9999999999998, "cache_write_input_tokens": 48069.999999999985, "output_tokens": 51464.00000000001, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 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"2026-english-english-q11", "2026-english-english-q12", "2026-english-english-q13", "2026-english-english-q14", "2026-english-english-q15", "2026-english-english-q16", "2026-english-english-q17", "2026-english-english-q18", "2026-english-english-q19", "2026-english-english-q20", "2026-english-english-q21", "2026-english-english-q22", "2026-english-english-q23", "2026-english-english-q24", "2026-english-english-q25", "2026-english-english-q26", "2026-english-english-q27", "2026-english-english-q28", "2026-english-english-q29", "2026-english-english-q30", "2026-english-english-q31", "2026-english-english-q32", "2026-english-english-q33", "2026-english-english-q34", "2026-english-english-q35", "2026-english-english-q36", "2026-english-english-q37", "2026-english-english-q38", "2026-english-english-q39", "2026-english-english-q40", "2026-english-english-q41", "2026-english-english-q42", "2026-english-english-q43", "2026-english-english-q44", "2026-english-english-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 42, "incorrect": 3, "abstained": 0, "errors": 0, "pending": 0, "score": 92, "max_score": 100, "accuracy": 93.33333333333333, "abstention_rate": 0, "attempt_accuracy": 93.33333333333333, "wall_time_seconds": 74.25200000000005, "solver_time_seconds": 74.25200000000005, "usage": { "input_tokens": 99941.00000000004, "cached_input_tokens": 652.9999999999998, "cache_write_input_tokens": 95840.00000000009, "output_tokens": 16119.000000000013, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.027578829999999985, "adjusted_correct": 1 }, "official_summary": { "total_questions": 45, "correct": 41, "incorrect": 4, "abstained": 0, "errors": 0, "pending": 0, "score": 89, "max_score": 100, "accuracy": 91.11111111111111, "abstention_rate": 0, "attempt_accuracy": 91.11111111111111, "wall_time_seconds": 74.25200000000005, "solver_time_seconds": 74.25200000000005, "usage": { "input_tokens": 99941.00000000004, "cached_input_tokens": 652.9999999999998, "cache_write_input_tokens": 95840.00000000009, "output_tokens": 16119.000000000013, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.027578829999999985 } } ], "questions": [ { "id": "2026-korean-common-q01", "number": 1, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "지문은 말소리 듣기 경험이 해독 발달 전에도 언어 이해를 발달시킨다고 보므로, 말소리 듣기에 앞서 독서 경험이 필요하다는 ③은 지문과 어긋난다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q02", "number": 2, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "지문은 단순 관점이 해독과 언어 이해가 글의 의미 이해에 이르는 사고 과정을 설명하지 않는다고 명시한다. 따라서 이 점을 비판한 ⑤가 적절하다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q03", "number": 3, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "단순 관점에 따르면 해독이 발달되지 않은 학생 B는 글 읽기 경험을 통해 언어 이해를 발달시킬 수 없으므로, ④의 기대는 지문 논리와 맞지 않는다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q04", "number": 4, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "(가)는 법조문 해석 방법(문리·체계적·역사적 해석)을 구분해 제시하고, (나)는 보증 계약 관련 규범의 주요 내용을 열거하고 있으므로 ①이 적절하다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q05", "number": 5, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "(가)는 유상 계약의 담보가 값어치를 보장하는 의미라고만 할 뿐, 교환 대상의 값어치가 일치해야 계약이 체결된다고 말하지 않는다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q06", "number": 6, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "보증 계약은 채권자와 보증인 사이의 계약이며, 주채무자는 그 당사자가 아니다. 따라서 주채무자가 대가를 지급하기로 한 별도 계약이 있어도 보증 계약의 무상성은 유지된다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q07", "number": 7, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "주채무가 소멸하면 보증 채무도 당연히 소멸하므로, 채권이 실현되면 보증인이 더 이상 이행할 의무가 없다는 ⑤가 옳다. ③은 일반 보증인의 권리이며 연대 보증인은 이를 포기한다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q08", "number": 8, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "병은 일반 보증인이므로 을에게 강제 집행 대상 재산이 있음을 증명하면 지급을 거절할 수 있다. 따라서 ③의 '거절할 수 없다'는 틀린 설명이다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q09", "number": 9, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "ⓔ '규정하고'는 법령 등으로 정한다는 뜻이므로 '바로잡고'와 바꿔 쓸 수 없다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q10", "number": 10, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 4, "status": "correct", "answer": 5, "explanation": "지문에서 띠의 두께가 얇을수록 반응 완료 시간이 짧다고 했으므로 ⑤가 일치한다. 나머지는 열팽창 계수, 액추에이터의 원리 등에 대한 지문 내용과 어긋난다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q11", "number": 11, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "온도를 내리면 열팽창 계수가 큰 층이 더 수축하므로 띠는 계수가 큰 쪽으로 휜다. 따라서 작은 물질 쪽으로 휜다는 ③은 추론으로 옳지 않다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q12", "number": 12, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "온도 변화량이 클수록 최대 곡률이 커지므로 T0에서 T2로 올렸을 때 힘이 소멸되는 시점의 곡률이 더 크다. 나머지는 b의 휨 민감도가 a보다 크다는 조건과 맞지 않는다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q13", "number": 13, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "ⓐ '얻다'는 구하여 가지다는 뜻이고, ⓑ '돌아오다'는 본래 있던 곳이나 상태로 되돌아온다는 뜻이다. ①은 두 쓰임 모두 이 의미에 가장 가깝다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q14", "number": 14, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "롱게네스는 인간이 시공간적 세계에서 경험하며 스스로 선택하는 존재이고, 그러려면 살아 있는 신체가 필요하다고 본다. 따라서 ⑤가 지문과 일치한다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q15", "number": 15, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "[A]는 '의식'이 두 전제에서 실재성의 함의가 다르다는 점을 설명하므로, 두 전제를 연결하는 개념의 실재성 함의 차이를 묻는 ①이 적절하다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q16", "number": 16, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "스트로슨은 자아에 대한 인식이 경험적 인식으로부터 추상화된다고 보므로, 경험적 인식이 자아 인식에 의존한다는 ②는 입장을 뒤집은 것이다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q17", "number": 17, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "칸트 이전의 견해는 '생각하는 나'의 단일한 지속이 인격 동일성을 보장한다고 보았다. 따라서 이와 반대되는 갑의 입장을 옳지 않다고 평가한 ③이 적절하다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q18", "number": 18, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "중모리·아니리에서 호랑이가 먼저 자신의 명색을 밝히고, 그 뒤에 자라가 자신의 정체를 밝힌다. 따라서 자라가 먼저 밝혔다는 ②는 적절하지 않다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q19", "number": 19, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 7, "status": "abstained", "answer": null, "explanation": "㉠~㉤에 해당하는 공간 표지가 입력 이미지에서 명확히 확인되지 않아 각 선택지를 검증할 수 없다.", "abstain_reason": "uncertain", "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q20", "number": 20, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "ⓒ는 자라가, ⓕ는 호랑이가 상대의 말이나 행동으로 생긴 위기 상황에서 보인 반응이다. 두 주체가 다르다는 점에서 ③이 가장 적절하다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q21", "number": 21, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 7, "status": "abstained", "answer": null, "explanation": "선택지 여러 개가 현실 요소의 중첩과 과장이라는 감상 기준에 부합해 보여 하나의 부적절한 설명을 확정하기 어렵다.", "abstain_reason": "uncertain", "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q22", "number": 22, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "(나)는 '어찌 ~바람뿐이랴', '~라면' 등 가정·반어 표현을, (다)는 '만약 ~면' 식 가정 표현으로 대상의 속성을 드러낸다. 나머지 선택지는 지문과 맞지 않는다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q23", "number": 23, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "incorrect", "answer": 5, "explanation": "(나)의 '등불을 밝힐 것'은 밝음에 대한 전망이고, (가)의 '빛나는 때'도 빛에 대한 소망이다. 따라서 두 표현이 '밤'이 나타날 것이라는 인식을 드러낸다는 ⑤는 잘못이다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q24", "number": 24, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "incorrect", "answer": 3, "explanation": "지문에서 '잦아드는'은 '외마디 소리(㉡)'를 수식하고, '흩어지는 소리'는 (다)의 개념이므로 ㉠·㉡을 잘못 짝지은 ③이 부적절하다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q25", "number": 25, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "abstained", "answer": null, "explanation": "선택지 대부분이 시의 장면과 부분적으로만 맞아 확정적인 정답을 고르기 어렵다.", "abstain_reason": "uncertain", "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q26", "number": 26, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 9, "status": "abstained", "answer": null, "explanation": "여러 선택지가 (다)의 내용과 대체로 부합해 부적절한 설명을 하나로 확정하기 어렵다.", "abstain_reason": "uncertain", "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q27", "number": 27, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "허명두는 온 씨의 공격에 에둘러 말하거나 관심을 돌리지 않고, 협박해 보라며 직접 응대한다. 따라서 ⑤는 [A]와 맞지 않는다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q28", "number": 28, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "ⓐ 이야기를 처음 퍼뜨린 인물이 ⓑ 소문과 관련해 확인한 내용이 ⓐ에 반영되어 있다는 ⑤가 지문과 부합한다. 나머지는 선후 관계나 인과 관계가 맞지 않는다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q29", "number": 29, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 11, "status": "correct", "answer": 1, "explanation": "독가촌은 고속도로와 접속될 교통 요충지라는 점이 알려지면서 외부 사람들의 관심을 받게 되었다. 나머지 선택지는 지문의 내용과 어긋난다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q30", "number": 30, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 11, "status": "abstained", "answer": null, "explanation": "각 선택지가 보기의 세 가지 서술 방식(일반화, 주관화, 상대 생각 헤아리기)에 모두 부합해 보여 부적절한 것을 확정할 수 없다.", "abstain_reason": "uncertain", "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q31", "number": 31, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 12, "status": "correct", "answer": 2, "explanation": "(가)는 '대구'와 '대조' 표현(가슴에 열/냉수, 얼음물 등)을 활용해 화자의 괴로운 처지를 드러낸다. 나머지 선택지는 (가)와 (나)의 표현 방식과 맞지 않는다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q32", "number": 32, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 12, "status": "abstained", "answer": null, "explanation": "㉠~㉤의 각 해설이 지문 내용과 대체로 부합해 부적절한 설명을 확정할 근거가 부족하다.", "abstain_reason": "uncertain", "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q33", "number": 33, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 12, "status": "correct", "answer": 1, "explanation": "ⓐ(방패연)는 마지막 전송으로 멀리 날려 보내지는 대상이다. ③은 바람이 한창일 때 띄운다는 점과, ⑤는 개인의 소망이라는 점과 맞지 않는다.", "abstain_reason": null, "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q34", "number": 34, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 12, "status": "abstained", "answer": null, "explanation": "선택지 대부분이 보기의 설명과 부합해 보여 부적절한 해석을 하나로 확정하기 어렵다.", "abstain_reason": "uncertain", "time_seconds": 11.110411764705884, "usage": { "input_tokens": 1494.6176470588234, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.6176470588234, "output_tokens": 2601.0588235294117, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0015868244117647058, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q35", "number": 35, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 13, "status": "correct", "answer": 2, "explanation": "발표자는 전문가의 견해를 인용하지 않고 자료와 청중 질문·응답을 활용합니다. 따라서 ②가 적절하지 않습니다.", "abstain_reason": null, "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q36", "number": 36, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 13, "status": "correct", "answer": 5, "explanation": "[자료3]의 표에서 회귀 식물(○)에 해당하는 북방계 식물을 확인할 수 있으며, 이는 ㉢에 활용되었습니다. ③은 군 간 비교가 아니라 풍혈지 군과 군 전체의 비교이고, ④는 북방계 식물과 회귀 식물의 기온 비교가 아니므로 틀렸습니다.", "abstain_reason": null, "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q37", "number": 37, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "학생3은 발표 내용이 지역 보고서 작성에 도움이 된다고 하여 정보의 유용성을 평가하고 있습니다. 나머지 선택지는 학생들의 반응과 맞지 않습니다.", "abstain_reason": null, "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q38", "number": 38, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "(가)에서 진행자가 전문가들에게 발언을 요청하는 것처럼, (나)의 학생1도 학생2와 학생3에게 '너희들 생각은 어때?'라고 의견을 요청합니다. 따라서 '(나)와 달리'라는 설명이 틀렸습니다.", "abstain_reason": null, "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q39", "number": 39, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "㉡은 학생2가 방송을 보고 유행을 체감했다는 말로, 상대의 발언을 통해 알게 된 것이 아닙니다. 나머지 ㉠, ㉢, ㉣, ㉤의 설명은 대화 흐름과 맞습니다.", "abstain_reason": null, "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q40", "number": 40, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 15, "status": "incorrect", "answer": 2, "explanation": "(가)의 전문가1이 말한 영상 산업 성장을 (나)의 학생2가 언급하며 웹툰 플랫폼의 해외 진출 영향을 주장했고, 이는 (다)에서 OTT 플랫폼 활성화라는 원인 분석으로 이어집니다. 나머지 선택지는 연결이 맞지 않습니다.", "abstain_reason": null, "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q41", "number": 41, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "(다)는 영상 산업과 웹툰 산업을 나누어 각각의 이익과 특징을 서술하고 있습니다. 따라서 산업별로 구분하여 서술하는 방식이 쓰였습니다.", "abstain_reason": null, "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q42", "number": 42, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "학생3의 의견은 입장 제시와 전망 추가이며, 수정본에도 이 내용들이 반영되었습니다. 그러나 '영상업계의 노력' 내용은 학생3의 의견에 없고 수정된 4문단에도 추가되지 않았습니다.", "abstain_reason": null, "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q43", "number": 43, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 16, "status": "correct", "answer": 3, "explanation": "[A]는 불안이라는 정서적 어려움을 명시하고, 완화하는 태도와 긍정적 변화를 제시해야 합니다. ③은 불안, 자기 수용, 심리적 안정을 모두 담고 있고 본문과도 일관됩니다. ⑤는 본문이 강조한 무조건적 자기 수용과 충돌합니다.", "abstain_reason": null, "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q44", "number": 44, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 16, "status": "correct", "answer": 2, "explanation": "초고는 개념, 일반적 특성, 사례나 특징, 특정 시기에 나타나는 이유를 다루지만 완벽주의적 자기 제시 성향의 장점은 다루지 않습니다. 따라서 장단점을 설명하겠다는 계획이 초고에 맞지 않습니다.", "abstain_reason": null, "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q45", "number": 45, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 16, "status": "abstained", "answer": null, "explanation": "각 선택지의 자료와 문단 대응을 검토했으나 명확히 틀린 항목을 확정하지 못했습니다. 추측으로 답하지 않기 위해 기권합니다.", "abstain_reason": "uncertain", "time_seconds": 12.280727272727272, "usage": { "input_tokens": 1760.3636363636363, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.4545454545455, "output_tokens": 3011.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018378545454545451, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q35", "number": 35, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "지문은 'ㅛ'처럼 두 소리의 연쇄를 나타내는 것은 이중 모음이라고 설명하며, 자음자 중에 그런 예가 있다는 내용은 없다. 따라서 ③이 적절하지 않다.", "abstain_reason": null, "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q36", "number": 36, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 17, "status": "abstained", "answer": null, "explanation": "자료의 일부 표기와 선택지 문장이 해상도상 명확히 읽히지 않아 확신할 수 없다.", "abstain_reason": "uncertain", "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q37", "number": 37, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 17, "status": "abstained", "answer": null, "explanation": "여러 선택지(②, ④ 등)가 관형사, 선어말 어미 높임, 자릿수 조건을 모두 충족하는 것으로 보여 정답을 하나로 특정하기 어렵다.", "abstain_reason": "uncertain", "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q38", "number": 38, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 18, "status": "incorrect", "answer": 1, "explanation": "㉢ '거기'는 발화 현장이 아닌 과거의 운동장을 가리키므로 현재 담화 장소가 아니다. 따라서 ①이 적절하지 않다.", "abstain_reason": null, "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q39", "number": 39, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 18, "status": "correct", "answer": 1, "explanation": "'시작되자'는 명사 '시작'에 '-되다'가, '낮췄다'는 형용사 '낮다'에 '-추-'가 결합해 품사가 바뀌었으므로 ①이 적절하다. ②는 '빼앗겼다'가 피동이고, ③은 '말리는'이 사동이며, ④는 '미술관이랑'이 접속 조사이고, ⑤는 '만나'가 연결 어미라 모두 부적절하다.", "abstain_reason": null, "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q40", "number": 40, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "(나)에는 고양이 그림처럼 안타까운 감정을 보여 주는 그림이 활용되어 있고 (가)에는 없다. ①, ④, ⑤는 두 자료 모두에 해당하지 않거나 (가)에만 해당하며, ③은 (가)에 게시 날짜·시간이 없어 부적절하다.", "abstain_reason": null, "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q41", "number": 41, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "'동동'은 수령 기간을 10업무일로 늘려 달라고 건의하려는 것이므로 '재신청 불가 기간 연장'이라는 설명은 부적절하다. 나머지 발화는 대화 내용과 대체로 부합한다.", "abstain_reason": null, "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q42", "number": 42, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 19, "status": "correct", "answer": 5, "explanation": "카드 4의 달력 이미지는 '수신일로부터 3업무일'이라는 수령 기간과 업무일 계산을 보여 주는 것이지 수령 시간을 나타내지 않는다. 나머지 계획은 카드 이미지와 (가), (나)의 내용에 부합한다.", "abstain_reason": null, "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q43", "number": 43, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "ⓑ는 도서관 문자가 오늘 내로 수령하라는 뜻인지 되묻는 반문이며, 신청 도서 수령 가능 여부에 대한 응답을 발송 주체가 요구하는 문장이 아니다. ⓐ, ⓒ, ⓓ, ⓔ는 각 어미와 문맥에 부합한다.", "abstain_reason": null, "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q44", "number": 44, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 20, "status": "correct", "answer": 4, "explanation": "대화에는 혜정의 요청으로 다겸이 화면 공유 권한을 넘겼다는 내용이 없다. 다겸은 화면 공유를 하고 있을 뿐이므로 ④가 적절하지 않다.", "abstain_reason": null, "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q45", "number": 45, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 20, "status": "correct", "answer": 3, "explanation": "(나)의 '더 보기'는 상세 내용을 아래로 펼치는 것이 아니라 새 창에서 제시하는 기능이다. 따라서 ③의 설명이 (나)와 맞지 않는다.", "abstain_reason": null, "time_seconds": 13.239909090909093, "usage": { "input_tokens": 1756.4545454545455, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499.1818181818182, "output_tokens": 2994.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018174936363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q01", "number": 1, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "9^(1/4)×3^(-1/2)=3^(1/2)×3^(-1/2)=1.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q02", "number": 2, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "f'(x)=9x²+4이므로 f'(1)=13.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q03", "number": 3, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "Σ(2a_k−k)=0에서 2Σa_k=Σk=10이므로 Σa_k=5.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q04", "number": 4, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "x=1에서 연속이어야 하므로 3·1−2=1²−3·1+a에서 a=3.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q05", "number": 5, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "f'(x)=(2x²−x−2)+(x+2)(4x−1)이고 f'(1)=−1+9=8.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q06", "number": 6, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "b=a³이고 b/a=a²=√3이므로 a⁴=3, ab=a⁴=3, log₉3=1/2.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q07", "number": 7, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "두 곡선의 차는 (6/5)x²이므로 넓이는 ∫₀²(6/5)x²dx=16/5.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q08", "number": 8, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "sinθ+3cosθ=0이면 tanθ=−1/3이고, cos(π−θ)>0이므로 cosθ<0, 따라서 sinθ=3/√10=3√10/10.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "f'(x)=3(x+3a)(x−a)이므로 극값 f(a)=−5a³+4, f(−3a)=27a³+4 중 5가 되는 경우는 a=1/3뿐이고, f(2)=14이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "점근선 y=−2와 만나는 점 C, AB=BC 조건에서 A=(s,2), a^s=4이다. 삼각형 AOC의 넓이 2s=8이므로 s=4, a=√2, |OB|=4, a×|OB|=4√2=2^(5/2).", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "ㄱ: x(1)=1/3+4=13/3 참. ㄴ: 판별식 9−16<0이라 v>0이 항상 성립하여 방향 전환 없음 거짓. ㄷ: v=(t−1)(t−4)이고 거리=11/6+7/6=3 참.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "correct", "answer": 2, "explanation": "S=a₁+a₄+a₇=3이고 a₄+a₇+a₁₀=r³S=6이므로 r³=2, a=3/7이다. a₁₀=ar⁹=(3/7)·8=24/7.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "l: y=−2x−4, g'(1)=−4이므로 m: y=−4x+10이다. 두 직선과 y축의 삼각형은 밑변 14, 높이 7이므로 넓이는 49이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "점 C,E,G의 외접원 반지름은 R=√9.6=4√15/5이다. ∠HCG=∠BAC이므로 GH=2R·sin∠BAC=2R·(4/5)=32√15/25이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "h'=g−f의 부호 변화가 하나인 a의 범위는 (0,4]이므로 k=4이다. h(3)=∫₀³(g−f)dt=7/2이고 k+h(3)=15/2이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "a₂=1²·a₁+1=2, a₃=2²·a₂+1=9이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "F(x)=x⁴−x²+C이고 F(0)=4이므로 C=4이다. F(2)=16−4+4=16이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "cos(∠BAC)=−3/5이므로 sin(∠BAC)=4/5이다. 넓이는 (1/2)·5·6·(4/5)=12이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "p(x)=2x³+3x²−12x−8의 [−2,2]에서 최댓값은 p(−2)=12, 최솟값은 p(1)=−15이다. 따라서 k≥15이고 최솟값은 15이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "correct", "answer": 130, "explanation": "(가)=n/3, (나)=a₂=10, (다)=a₁+a₂+Σ(2k+1)=52이다. f(12)=4이므로 p×q/f(12)=10×52/4=130이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "correct", "answer": 65, "explanation": "f(0)=f(2)=0, f(t)=0에서 t=2, f(x)=(3/14)x(x−2)(x−11/3)이 조건을 만족한다. g(−5)=−f(−5)=65이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q22", "number": 22, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 457, "source_page": 8, "status": "correct", "answer": 457, "explanation": "A'=(b,a)가 직선 OB 위에 있으므로 B=2(b,a)로 두면 A=(63/4,7/4), B=(7/2,63/2)이다. ab=441/16이므로 p=16, q=441, p+q=457이다.", "abstain_reason": null, "time_seconds": 5.555454545454546, "usage": { "input_tokens": 1586.9545454545455, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.9545454545455, "output_tokens": 1345.5454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0009729922727272727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q23", "number": 23, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 9, "status": "correct", "answer": 3, "explanation": "중복을 허락해 4개 문자에서 3개를 택해 일렬로 나열하면 4³=64가지이다.", "abstain_reason": null, "time_seconds": 6.3, "usage": { "input_tokens": 2375.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.375, "output_tokens": 1477.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00117324125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q24", "number": 24, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "P(A∩B)=P(A)P(B|A)=2/5·1/4=1/10이고, P(A∪B)=1이므로 P(B)=1−2/5+1/10=7/10이다.", "abstain_reason": null, "time_seconds": 6.3, "usage": { "input_tokens": 2375.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.375, "output_tokens": 1477.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00117324125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q25", "number": 25, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 10, "status": "correct", "answer": 2, "explanation": "전체 경우는 C(10,2)=45이다. 같은 색은 10+10=20가지, 다른 색이면서 같은 수인 경우는 2,3,4,5 네 가지이므로 전체 24가지이고, 24/45=8/15이다.", "abstain_reason": null, "time_seconds": 6.3, "usage": { "input_tokens": 2375.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.375, "output_tokens": 1477.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00117324125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q26", "number": 26, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "신뢰구간 길이는 2×2.58×5/√36=4.3이므로 구간 [1.2, a]에서 a=1.2+4.3=5.5이다.", "abstain_reason": null, "time_seconds": 6.3, "usage": { "input_tokens": 2375.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.375, "output_tokens": 1477.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00117324125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q27", "number": 27, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 11, "status": "correct", "answer": 4, "explanation": "확률의 합이 1이므로 a=1/6이다. E(X)=5/2, E(X²)=15/2이므로 V(X)=5/4이고, V(X/a)=36·5/4=45이다.", "abstain_reason": null, "time_seconds": 6.3, "usage": { "input_tokens": 2375.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.375, "output_tokens": 1477.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00117324125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q28", "number": 28, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 11, "status": "correct", "answer": 2, "explanation": "홀수 경우 1,3,5에, 짝수 경우 약수 상자에 공을 넣는다. 조건 3번=2번+1은 홀수 횟수=짝수(2 또는 4)횟수+1로 정리되고, 전체 공 수가 홀수인 조건으로 나누면 (1/108+1/12)/(40/81)=3/16이다.", "abstain_reason": null, "time_seconds": 6.3, "usage": { "input_tokens": 2375.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.375, "output_tokens": 1477.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00117324125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q29", "number": 29, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 977, "source_page": 12, "status": "correct", "answer": 977, "explanation": "한 번 시행에서 기록값이 3일 확률은 (a/6)(5/16)+(1−a/6)(1/8)=1/4이므로 a=4이다. X~B(19200,1/4)이므로 E=4800, σ=60이고, P(X≤4920)≈0.5+0.477=0.977이므로 k=0.977이다.", "abstain_reason": null, "time_seconds": 6.3, "usage": { "input_tokens": 2375.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.375, "output_tokens": 1477.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00117324125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q30", "number": 30, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 262, "source_page": 12, "status": "correct", "answer": 262, "explanation": "1개 주머니 수가 6개인 경우(2개 주머니 1개)는 112가지, 4개인 경우(2개 주머니 2개)는 150가지이다. 2개 들어 있는 주머니의 이웃은 비어 있어야 하며, 두 경우를 합하면 262가지이다.", "abstain_reason": null, "time_seconds": 6.3, "usage": { "input_tokens": 2375.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.375, "output_tokens": 1477.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00117324125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q23", "number": 23, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "lim(x→0) tan6x/(2x) = (6x)/(2x) 극한이므로 6/2 = 3이다.", "abstain_reason": null, "time_seconds": 12.979625, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 3149.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00200956625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q24", "number": 24, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 13, "status": "correct", "answer": 4, "explanation": "sin x − sin³x = sin x·cos²x이고 0≤x≤π/2에서 cos x≥0이므로 적분은 ∫₀^{π/2} √(sin x)·cos x dx이다. u=sin x로 치환하면 ∫₀¹ u^{1/2} du = 2/3이다.", "abstain_reason": null, "time_seconds": 12.979625, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 3149.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00200956625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q25", "number": 25, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 14, "status": "correct", "answer": 3, "explanation": "부등식의 양변을 n으로 나누어 squeeze하면 a_n/n → 5이다. 따라서 분자는 (a_n+2)²/n² → 25, 분모는 (n·a_n+5n²−2)/n² → 10이고, 극한값은 25/10 = 5/2이다.", "abstain_reason": null, "time_seconds": 12.979625, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 3149.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00200956625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q26", "number": 26, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "x축에 수직인 단면은 한 변이 y=√(x+x ln x)인 정삼각형이므로 넓이는 (√3/4)(x+x ln x)이다. ∫₁²(x+x ln x)dx = 3/4 + 2ln2이고 부피는 (√3/4)(3/4+2ln2) = √3(3+8ln2)/16이다.", "abstain_reason": null, "time_seconds": 12.979625, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 3149.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00200956625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q27", "number": 27, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "y−3x = −5e^{4t}이므로 y=3x−5e을 만나는 조건은 e^{4t}=e, 즉 t=1/4이다. 이때 dx/dt = e(6+π), dy/dt = e(3π−2)이므로 기울기는 (3π−2)/(π+6)이다.", "abstain_reason": null, "time_seconds": 12.979625, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 3149.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00200956625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q28", "number": 28, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "f'(s)=s²/(1+s)이고, 접선의 y절편 b에 대해 (0,f(s))와 (0,b) 사이 거리는 s f'(s)=s³/(1+s)=D(s)이다. g는 D의 역함수이므로 ∫_{1/2}^{27/4} g dt = [sD(s)]₁³ − ∫₁³ D ds = 79/4 − (20/3 − ln2) = 157/12 + ln2이다.", "abstain_reason": null, "time_seconds": 12.979625, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 3149.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00200956625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q29", "number": 29, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 97, "source_page": 16, "status": "correct", "answer": 97, "explanation": "조건에서 1/a−1, 1/(2a)−1, 1/(3a)−1이 등비이므로 a=1/4이고 공비는 1/3이다. 부등식으로 k=2가 정해지며 Σb_n = 81/2, Σ1/(a_n a_{n+1}) = 16이다. a₂·Σb_{2n} = (1/2)(81/8) = 81/16이므로 p+q = 16+81 = 97이다.", "abstain_reason": null, "time_seconds": 12.979625, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 3149.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00200956625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q30", "number": 30, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 11, "source_page": 16, "status": "correct", "answer": 11, "explanation": "조건으로 h=f⁻¹은 |x|≤1에서 x(5−x²)/2, x>1에서 e^{x−1}+1, x<−1에서 −(e^{−x−1}+1)이다. 직선의 교점 개수 g(m)은 m=0에서 1→(0+)에서 3으로 불연속이고, m=b=W(2)/2(v e^v=2의 해 v의 절반)에서 g=2로 불연속이다. 이때 ln b=−v이므로 (ln b/b)²=4이고, 답은 1·3+2·4=11이다.", "abstain_reason": null, "time_seconds": 12.979625, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 3149.375, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00200956625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q23", "number": 23, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "a+b=(4-1, 1-1)=(3,0)이므로 성분의 합은 3+0=3이다.", "abstain_reason": null, "time_seconds": 11.5455, "usage": { "input_tokens": 2379.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.375, "output_tokens": 2732.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018012787500000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q24", "number": 24, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 17, "status": "correct", "answer": 1, "explanation": "y²=12(x-2)에서 4p=12, p=3이다. 초점과 준선 사이의 거리는 2p=6이다.", "abstain_reason": null, "time_seconds": 11.5455, "usage": { "input_tokens": 2379.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.375, "output_tokens": 2732.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018012787500000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q25", "number": 25, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 18, "status": "correct", "answer": 5, "explanation": "A(3,-3/2,-2)를 yz평면에 대칭이동하면 B(-3,-3/2,-2), 원점에 대칭이동하면 C(-3,3/2,2)이다. BC=(0,3,4)이므로 길이는 5이다.", "abstain_reason": null, "time_seconds": 11.5455, "usage": { "input_tokens": 2379.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.375, "output_tokens": 2732.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018012787500000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q26", "number": 26, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 18, "status": "correct", "answer": 2, "explanation": "접선은 √2y−x=a이므로 y축과의 교점은 P(0,a/√2)이다. c=√2a에서 PF=a/√2, PF'=3a/√2이고, 길이의 곱 3a²/2=8에서 a=4√3/3이다.", "abstain_reason": null, "time_seconds": 11.5455, "usage": { "input_tokens": 2379.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.375, "output_tokens": 2732.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018012787500000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q27", "number": 27, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "AB가 지름이므로 CD∥AB이고 ABCD는 등변사다리꼴이다. 넓이 조건으로부터 h²=R²(R²−1)sin²θ를 얻고 R=5/2, |sinθ|=4/5를 대입하면 h²=21이다.", "abstain_reason": null, "time_seconds": 11.5455, "usage": { "input_tokens": 2379.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.375, "output_tokens": 2732.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018012787500000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q28", "number": 28, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "좌표를 세우면 G=(0,2,2√3/3), 구의 반지름 r=2√3/3이다. ∠APG=π/2 조건으로 얻은 원 T는 평면 z=√3 위의 반지름 1인 원이며, ABC 평면 법선과 z축 사이 cos값이 1/4이므로 정사영 넓이는 π/4이다.", "abstain_reason": null, "time_seconds": 11.5455, "usage": { "input_tokens": 2379.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.375, "output_tokens": 2732.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018012787500000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q29", "number": 29, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 360, "source_page": 20, "status": "correct", "answer": 360, "explanation": "AH=AF이고 타원의 대칭성으로 A,H 대칭을 쓰면 삼각형 둘레는 2·AH+2a=4p이므로 p=9이다. 넓이 조건으로 A=(1,6), H=(-9,6)을 얻고 HF²=18²+6²=360이다.", "abstain_reason": null, "time_seconds": 11.5455, "usage": { "input_tokens": 2379.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.375, "output_tokens": 2732.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018012787500000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q30", "number": 30, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 221, "source_page": 20, "status": "correct", "answer": 221, "explanation": "조건을 정리하면 P·Q=−P·A이고, |PB|=14에서 P·A=48이다. 이로부터 |PA·QB|=196/25이므로 q/p=196/25이고 p+q=25+196=221이다.", "abstain_reason": null, "time_seconds": 11.5455, "usage": { "input_tokens": 2379.125, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.375, "output_tokens": 2732.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0018012787500000002, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q01", "number": 1, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "남자는 Nightly Journey 앱을 소개하며 잘 자도록 도와주는 앱을 홍보하고 있습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q02", "number": 2, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 실내 암벽 등반이 문제 해결 능력 향상에 도움이 된다고 말합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q03", "number": 3, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "남자는 큰 포즈를 취하면 불안감을 완화할 수 있다고 조언합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q04", "number": 4, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "incorrect", "answer": 2, "explanation": "대화에서 말하는 분홍색(하트 무늬) 티셔츠와 달리 그림 속 아이의 셔츠는 다이아몬드 무늬로 보여 ②가 불일치합니다. 다른 내용은 그림과 일치합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q05", "number": 5, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "남자가 재료 배송 확인을 잊지 말라고 하자 여자는 오늘 오후에 하겠다고 답합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q06", "number": 6, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "중간 크기 히터 $70과 가죽 슬리퍼 2켤레 $20을 합하면 $90이며, 쿠폰은 사용할 수 없습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q07", "number": 7, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 Morning Tea Club와 겹치는 이른 업무 회의(비즈니스 미팅)가 있다고 말합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q08", "number": 8, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "장소(Pinenut Park), 날짜, 상품(100달러 상품권), 신청 방법(온라인 등록)은 언급되지만 후원 기관은 언급되지 않습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q09", "number": 9, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "방송에서는 참가 신청을 개인이 아닌 팀 단위로 해야 한다고 했으므로 ④가 일치하지 않습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q10", "number": 10, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "10달러 이하, 나무 손잡이 제외, 칼 3개 이상 조건에 맞는 것은 C와 D이며, 선물 상자를 원하지 않으므로 D를 고릅니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q11", "number": 11, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자가 운전 중에 아이를 봐 달라고 부탁하는 상황이므로, 승낙하면서 운전 조심하라는 ①이 가장 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q12", "number": 12, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "직행버스가 있는 Rosemary Amusement Park로 가겠다는 여자의 결정에 대해 좋다고 호응하는 ②가 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q13", "number": 13, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "여자는 전체 키트가 필요 없고 손상된 부품만 필요하다고 했으므로, 부품을 즉시 보내주겠다는 ②가 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q14", "number": 14, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "남자가 함께 요리하면 자녀의 식습관이 좋아진다고 했으므로, 좋은 생각이며 딸도 다양한 음식을 먹게 되기를 바란다는 ③이 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q15", "number": 15, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "인터넷으로는 정보가 부족하므로 직접 자전거를 타고 각 장소를 방문하자고 제안하는 ③이 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q16", "number": 16, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "대화 전체는 과학 실험에 적합한 빨리 자라는 식물들을 소개하고 있습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q17", "number": 17, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "대화에서 언급된 식물은 bamboo, lettuce, sunflowers, peas이며 corn은 언급되지 않았습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q18", "number": 18, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "글쓴이는 학생들에게 동아리 개설 제안서를 사무실에 제출해 달라고 요청하고 있습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q19", "number": 19, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "Sophie는 처음에 불확실해 하며 당황했지만, 집을 찾은 뒤 밝게 웃으며 기뻐합니다. 따라서 confused → pleased가 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q20", "number": 20, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "글쓴이는 작사가들이 언어와 문학에 기여한 바를 문학계가 인정해야 한다고 주장합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q21", "number": 21, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "made work less sticky는 일이 특정 장소에 덜 묶이게 되었다는 뜻이므로, 사업 수행의 공간적 유연성을 높였다는 ②가 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q22", "number": 22, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "글 전체는 스포츠 산업에서 협력(coopetition)과 경쟁 사이의 균형 잡힌 관리가 필요하다는 내용입니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q23", "number": 23, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "글은 속도만큼 빈도(frequency)가 중요하며, 대중교통에서 빈도의 가치를 인식해야 한다고 주장합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q24", "number": 24, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "글은 문화와 엔터테인먼트 결합의 경제적 이익과, 문화의 동질화·의미 상실 위험 사이의 균형을 다룹니다. 이를 가장 잘 담은 제목은 ②입니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q25", "number": 25, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "Less Often에서 이메일(43%)이 가장 높고 화상채팅 등은 그보다 낮으므로, 이메일이 두 번째로 높다는 ④가 일치하지 않습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q26", "number": 26, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "Borden Award는 1952년, Morrison Award는 그 다음 해인 1953년에 받았으므로 둘 다 1952년이라는 ③이 일치하지 않습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q27", "number": 27, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "선정은 학생 투표로 세 개를 고르는 방식이므로, 네 개가 선정된다는 ④가 일치하지 않습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q28", "number": 28, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "안내문에 따르면 이 패스는 온라인으로만 구매할 수 있으므로 ④가 일치합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q29", "number": 29, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "주어 the package 뒤의 동사 자리에 being을 쓸 수 없고 is로 고쳐야 하므로 ②가 어법상 틀렸습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q30", "number": 30, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "문맥상 경쟁 우위를 얻기 위해(gain/keep) 반칙을 피하려는 것이므로, abandon(포기하다)은 문맥에 맞지 않습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q31", "number": 31, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "곡물 무역 회사들은 수급 정보를 이용해 이익을 얻었으므로, 정보가 그들의 수익성(profitability)의 핵심이었다는 ①이 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q32", "number": 32, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "독자가 부재하는 상황에서 독자의 반응을 예상해야 하므로 ⑤가 가장 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q33", "number": 33, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "사용자가 설계 과정에 자문을 받았다면 건물에 더 만족할 가능성이 높으므로 ④가 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q34", "number": 34, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "incorrect", "answer": 1, "explanation": "합리적인 사람이 어차피 선택하지 않을 행위를 금지하는 법은 인간의 자유를 합리적으로 제한한다고 볼 수 없으므로 ①이 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q35", "number": 35, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "④는 목공 수업을 디자인 수업보다 먼저 신청해야 한다는 내용으로, 자기 돌봄의 중요성과 흐름이 맞지 않습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q36", "number": 36, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "(C)는 시계가 반복 과정이라는 일반 설명이고, (A)는 Indeed로 이를 이어받아 촛불 예를 들며, (B)는 another로 또 다른 예를 추가하므로 (C)-(A)-(B)가 자연스럽습니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q37", "number": 37, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 4, "explanation": "(C)가 철학의 비경험적 특성을 말한 뒤, (A)의 This means가 그 결과를 설명하고, (B)가 However로 철학자의 한계와 협업 필요성을 언급하므로 (C)-(A)-(B)가 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement", "official_status": "incorrect", "accepted_answers": [ 4, 5 ], "benchmark_adjusted": true }, { "id": "2026-english-english-q38", "number": 38, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 5, "explanation": "주어진 문장의 these internal narratives가 가리키는 내용은 ⑤ 앞뒤의 정치적 이념과 연결된 narratives 설명과 자연스럽게 이어집니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q39", "number": 39, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 7, "status": "incorrect", "answer": 1, "explanation": "① 위치에서 The difference 문장이 게임 속 행동이 아바타의 신체 공간을 통해서만 탐구된다는 차이를 설명하고, 뒤의 The avatar's bodily space 문장과 자연스럽게 이어집니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q40", "number": 40, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "외부 자금에 의존해 재정적 도전(challenges)이 생기지만, 공연예술은 열정적인 관객을 여전히 확보(secure)한다는 흐름이 가장 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q41", "number": 41, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 8, "status": "correct", "answer": 2, "explanation": "글은 역사적 복식 자료가 부족한 문제를 시각 자료로 메울 수 있다는 내용이므로 ②가 제목으로 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q42", "number": 42, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "예술 작품에 담긴 정보가 없다면 역사적 복식 전시가 원작의 의도를 어색하게 모방하게 될 것이므로, unlikely가 아니라 likely가 되어야 합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q43", "number": 43, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "(D)는 Sam의 가족 독서 모임 제안에 대한 Mia의 반응이고, (C)는 Mia가 그 모임을 위한 책을 고르는 장면, (B)는 첫 모임 장면이므로 (D)-(C)-(B)가 적절합니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q44", "number": 44, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 8, "status": "correct", "answer": 3, "explanation": "(c)의 her는 도서관 사서를 가리키고, (a), (b), (d), (e)는 모두 Mia 또는 Mia의 가족 관련 대상을 가리킵니다.", "abstain_reason": null, "time_seconds": 1.6500444444444444, "usage": { "input_tokens": 2220.911111111111, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.777777777778, "output_tokens": 358.2, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0006128628888888889, "measurement_basis": "Group request duration and usage divided equally; 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48065, "output_tokens": 18946.000000000007, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 1.9066016000000003 } }, { "id": "2026-english-english", "title": "2026학년도 영어", "subject": "english", "track": "english", "question_ids": [ "2026-english-english-q01", "2026-english-english-q02", "2026-english-english-q03", "2026-english-english-q04", "2026-english-english-q05", "2026-english-english-q06", "2026-english-english-q07", "2026-english-english-q08", "2026-english-english-q09", "2026-english-english-q10", "2026-english-english-q11", "2026-english-english-q12", "2026-english-english-q13", "2026-english-english-q14", "2026-english-english-q15", "2026-english-english-q16", "2026-english-english-q17", "2026-english-english-q18", "2026-english-english-q19", "2026-english-english-q20", "2026-english-english-q21", "2026-english-english-q22", "2026-english-english-q23", "2026-english-english-q24", "2026-english-english-q25", "2026-english-english-q26", "2026-english-english-q27", "2026-english-english-q28", "2026-english-english-q29", "2026-english-english-q30", "2026-english-english-q31", "2026-english-english-q32", "2026-english-english-q33", "2026-english-english-q34", "2026-english-english-q35", "2026-english-english-q36", "2026-english-english-q37", "2026-english-english-q38", "2026-english-english-q39", "2026-english-english-q40", "2026-english-english-q41", "2026-english-english-q42", "2026-english-english-q43", "2026-english-english-q44", "2026-english-english-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 45, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 69.01500000000001, "solver_time_seconds": 69.01500000000001, "usage": { "input_tokens": 99937.00000000006, "cached_input_tokens": 652.9999999999998, "cache_write_input_tokens": 95836.00000000003, "output_tokens": 5768.000000000004, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 2.2043113500000007, "adjusted_correct": 1 }, "official_summary": { "total_questions": 45, "correct": 44, "incorrect": 1, "abstained": 0, "errors": 0, "pending": 0, "score": 97, "max_score": 100, "accuracy": 97.77777777777777, "abstention_rate": 0, "attempt_accuracy": 97.77777777777777, "wall_time_seconds": 69.01500000000001, "solver_time_seconds": 69.01500000000001, "usage": { "input_tokens": 99937.00000000006, "cached_input_tokens": 652.9999999999998, "cache_write_input_tokens": 95836.00000000003, "output_tokens": 5768.000000000004, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 2.2043113500000007 } } ], "questions": [ { "id": "2026-korean-common-q01", "number": 1, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "단순 관점은 해독 발달 전에도 구어 의사소통 경험으로 언어 이해가 발달한다고 보므로, 말소리 듣기 경험에 앞서 독서 경험이 필요하다는 진술은 불일치.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q02", "number": 2, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "마지막 문단에서 단순 관점은 글자 인식부터 의미 이해까지 독자의 머릿속 작용 과정을 설명하지 않는다고 했으므로 ⑤가 비판으로 적절.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q03", "number": 3, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "학생 B는 해독이 부족하여 글로 읽을 때 중심 내용을 파악하지 못했으므로 글 읽기 경험으로 중심 내용을 파악하게 되었다는 ④는 부적절.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q04", "number": 4, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "(가)는 문리·체계적·역사적 해석을 구분해 제시하고, (나)는 민법·특별법 등 보증 계약 관련 규범의 주요 내용을 열거함.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q05", "number": 5, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "유상 계약에서 담보는 거래 대상의 값어치를 보장한다는 의미일 뿐, 교환 대상의 값어치가 일치해야 계약이 체결된다는 내용은 없음.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q06", "number": 6, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "유상 계약은 당사자가 서로 대가를 주고받는 계약인데, 보증 계약의 당사자는 채권자와 보증인이고 대가를 지급하는 주채무자는 당사자가 아니므로 유상 계약이 아님.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q07", "number": 7, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "보증은 담보 기능을 하므로 주채무가 소멸하면 보증 채무도 소멸함. 연대 보증인도 주채무가 실현되면 보증 채무 이행 의무가 없음.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q08", "number": 8, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "연대 보증 특약이 없는 보증인은 주채무자에게 강제 집행 대상 재산이 있음을 증명하면 이행을 거절할 수 있으므로 ③은 부적절.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q09", "number": 9, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "'규정하고'는 '정하고'의 의미이므로 '바로잡고'로 바꿔 쓸 수 없음.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q10", "number": 10, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 4, "status": "correct", "answer": 5, "explanation": "반응 완료 시간은 띠의 두께가 얇을수록 짧다고 했으므로 ⑤가 일치. 부피도 변하고, 계수는 변화율/온도 변화량이며, 액추에이터는 열을 기계적 동작으로 변환함.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q11", "number": 11, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "온도를 내리면 선형 열팽창 계수가 큰 물질이 더 수축하므로 띠는 계수가 큰 물질 쪽으로 휨. ③은 반대로 추론함.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q12", "number": 12, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "힘이 소멸되는 시점은 최대 곡률에 도달했을 때이며 온도 변화가 클수록 더 휘므로 T2까지 올리면 a, b 모두 그 시점의 곡률이 더 큼. b가 계수 차이가 커서 더 휘고 두께가 같아 반응 완료 시간은 같음.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q13", "number": 13, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "ⓐ는 계산·측정으로 값을 얻다, ⓑ는 원래 상태(곳)로 되돌아오다의 의미이며, '근사치를 얻었다'와 '고향으로 돌아왔다'가 이에 해당함.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q14", "number": 14, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "롱게네스는 자율성이 시공간 세계를 살아가는 동안의 선택을 뜻하며 그러려면 신체가 있고 살아 있어야 한다고 함. ④는 '의식'이 아니라 '신체'를 매개로 함.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q15", "number": 15, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "[A]는 두 전제의 '의식'이 실재함을 함의하는지 여부에서 다르다고 지적하므로 ①의 질문에 답할 수 있음.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q16", "number": 16, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "스트로슨은 자아에 대한 인식이 경험적 인식들로부터 추상화된다고 보므로, 경험적 인식이 자아 인식에 의존한다는 ②는 반대로 서술됨.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q17", "number": 17, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "칸트 이전의 유력한 견해는 '생각하는 나'인 영혼의 지속이 인격의 동일성을 설명한다고 보므로, 지속만으로 보장되지 않는다는 갑의 입장은 옳지 않다고 봄.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q18", "number": 18, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "호랑이가 먼저 '나는 이 산중 지키는 호 생원'이라 밝힌 뒤 자라가 '자라 새끼'라고 정체를 밝혔으므로 자라가 먼저 밝혔다는 ②는 부적절.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q19", "number": 19, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 7, "status": "correct", "answer": 4, "explanation": "㉠ 산중은 자라가 호 생원을 불러 스스로 위험에 빠진 공간이고, ㉡ 수궁은 자라가 호랑이 쓸개 이야기를 꾸며 위험에서 벗어나려 언급한 공간임.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q20", "number": 20, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "ⓒ는 호랑이가 입가심하겠다는 말에 자라가, ⓕ는 자라가 아랫도리를 물자 호랑이가 보인 반응으로, 각기 다른 주체가 상대로 인한 위기에서 보인 반응임.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q21", "number": 21, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "자라가 '동의보감'을 떠올린 것은 호랑이가 약으로 먹으려 드는 상황을 한탄한 것이지, 지식을 내세워 속내를 숨기는 위선적 인간 비판으로 보기 어려움.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q22", "number": 22, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "(나)는 '그리움 날로 자라면', '등불을 밝힐 것이라면' 등, (다)는 '바람이 불면', '좋아하면' 등 가정적 표현으로 대상의 속성을 드러냄.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q23", "number": 23, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "'밤을 지키는' 발자국 소리가 들리지 않는 것은 함께할 이가 없는 연대 상실의 상황이지, 그 눈을 피해 다니는 것이 아님.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q24", "number": 24, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "correct", "answer": 4, "explanation": "㉣ 좋은 소리는 바름에 합당한 소리이므로 글쓴이가 삿된 것일 수 있다고 보는 대상이 아님.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q25", "number": 25, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "correct", "answer": 4, "explanation": "땡감이 커 가며 흰 구름을 이고 장대비를 맞는 것은 그리움·기다림이 익어 가는 과정으로 화자는 이를 유의미하게 여김.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q26", "number": 26, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 9, "status": "correct", "answer": 2, "explanation": "좋은 소리는 듣기 좋고 글로 쓰이며 바름에 합당한 것이지, 상반된 특성들이 균형을 이루는 것이 아님.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q27", "number": 27, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "허명두는 협박은 무섭지 않으니 해볼 대로 해보라며 직접 맞섰지, 에둘러 말해 관심을 돌리지 않음.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q28", "number": 28, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "ⓐ는 온 씨가 집 매입 소문(ⓑ)을 듣고 허명두를 찾아가 '역시 그러셨구만'이라며 확인한 내용을 바탕으로 퍼뜨린 이야기임.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q29", "number": 29, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 11, "status": "correct", "answer": 1, "explanation": "독가촌은 고속도로와 접속될 교통 요충지가 되어 하루아침에 각광받는 지대로 변했다고 서술됨.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q30", "number": 30, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 11, "status": "correct", "answer": 3, "explanation": "㉢에서 허명두는 온 씨의 주장이 옳다고 인정할 뿐, 변화의 원인을 달리 보는 왜곡된 시선은 드러나지 않음.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q31", "number": 31, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 12, "status": "correct", "answer": 2, "explanation": "(가)는 '여러 달 주리다가…/여러 날 칩떨다가…'의 대구와 주림·장한 음식, 추위·더운 방의 대조로 괴로운 처지를 드러냄.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q32", "number": 32, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 12, "status": "correct", "answer": 4, "explanation": "'너 언제 날 알더냐'는 부사가 화자를 알지 못했을 것이라는 뜻으로, 옛 인연으로 알아보았다는 생각과 반대됨.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q33", "number": 33, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 12, "status": "correct", "answer": 1, "explanation": "ⓐ 방패연은 실 한 얼레를 끝까지 풀어 띄우고 마지막 전송하는, 시름을 담아 멀리 떠나보내려는 대상임.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q34", "number": 34, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 12, "status": "correct", "answer": 3, "explanation": "(다)의 화자는 연줄의 힘으로 먼 데 임을 낚아 오려 하는 것이지 화자가 임에게 가려는 것이 아님.", "abstain_reason": null, "time_seconds": 5.7325, "usage": { "input_tokens": 1494.5588235294117, "cached_input_tokens": 19.205882352941178, "cache_write_input_tokens": 1385.5588235294117, "output_tokens": 490.05882352941177, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05218480441176471, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q35", "number": 35, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 13, "status": "correct", "answer": 2, "explanation": "발표에서 전문가의 견해를 인용하는 부분은 없다. 개념 설명, 지난 수업 경험 환기, 청중 질문·답변, 마무리에서 바라는 바 언급은 모두 나타난다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q36", "number": 36, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 13, "status": "correct", "answer": 5, "explanation": "[자료3]은 풍혈지에서 발견된 북방계 식물 중 산림청 지정 희귀 식물 여부를 표시한 목록으로 ㉢에 활용되었다. [자료2]는 같은 군 내 풍혈지와 군 전체 기온 비교이므로 ③④는 부적절하다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q37", "number": 37, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "학생3은 발표 내용이 보고서 작성에 도움이 되겠다며 유용성 측면에서 평가하고 있다. 학생1은 풍혈지가 해발 고도 낮은 곳이라는 점을 잘못 이해했지만 학생2는 정확히 이해했으므로 ④는 틀리다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q38", "number": 38, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "(나)에서도 학생1이 '너희는 어떻게 생각해?', '너희들 생각은 어때?'라며 나머지 두 명에게 발언을 요청하므로 (가)만의 특징이 아니다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q39", "number": 39, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "㉡은 방송을 보고 유행을 체감했다는 말이지, 상대의 발언을 통해 몰랐던 사실을 알게 된 것이 아니다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q40", "number": 40, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "전문가2의 추가 수익 창출 발언을 학생3이 언급하며 창작자의 경제적 안정이 좋은 웹툰 창작으로 이어진다고 한 의견이, (다)에서 다양성 저해라는 상반된 관점을 반박하는 내용(창작자가 경제적 안정을 얻어 작품성 높이는 노력)으로 제시되었다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q41", "number": 41, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "(다)는 웹툰 영상화 유행의 영향을 영상 제작 측면, 웹툰 창작 측면, 영상 산업과 웹툰 산업의 수익성으로 구분하여 서술하고 있다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q42", "number": 42, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "고쳐 쓴 4문단에 추가된 것은 '질 좋은 웹툰 창작'이라는 웹툰 창작 측면의 노력이지 영상업계의 노력이 아니다. 흥행 실패 삭제, 문장 위치 변경, 입장 제시, 향후 위상 추가는 모두 반영되었다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q43", "number": 43, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 16, "status": "correct", "answer": 3, "explanation": "완벽한 모습을 보이고 싶은 마음이 불안으로 이어진다는 정서적 어려움, 자기 자신을 있는 그대로 수용하는 태도, 심리적 안정이라는 긍정적 변화가 모두 담겨 있고 글의 흐름과도 일치한다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q44", "number": 44, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 16, "status": "correct", "answer": 2, "explanation": "초고는 완벽주의적 자기 제시 성향의 문제점(불안, 회피적 행동)만 다루고 장점은 설명하지 않았다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q45", "number": 45, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 16, "status": "correct", "answer": 5, "explanation": "초고의 불안은 완벽주의적 자기 제시 성향에서 비롯된 것이지 정서 조절의 실패에서 비롯된 것이 아니며, ㄷ도 그런 내용을 말하지 않는다. 나머지는 자료와 초고의 해당 문단에 부합한다.", "abstain_reason": null, "time_seconds": 5.614272727272727, "usage": { "input_tokens": 1760.2727272727273, "cached_input_tokens": 0, "cache_write_input_tokens": 1560.3636363636363, "output_tokens": 544.2727272727273, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0572727, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q35", "number": 35, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "24자모는 각각 하나의 소리를 나타내며, 두 소리의 연쇄(이중 모음)를 나타내는 것은 모음자 'ㅛ' 등이지 자음자에는 없다. 'ㅆ', 'ㅺ' 등은 24자 밖의 어울러 쓴 자모이다.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q36", "number": 36, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 17, "status": "correct", "answer": 2, "explanation": "15세기 'ㅼ'은 'ㅺ'처럼 된소리 [t']를 나타냈으므로 현대 국어 'ㄸ'과 형식은 다르지만 내용(된소리)은 같다. 따라서 '형식과 내용이 모두 달랐다'는 설명은 부적절하다.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q37", "number": 37, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 17, "status": "correct", "answer": 4, "explanation": "④는 관형사 '온갖'이 관형어로 쓰였고, '하셨다'에 선어말 어미 '-시-'가 있으며, '길어지다'(한 자리)와 '하다'(두 자리)를 포함한다. ①은 '모시다'가 세 자리, ②는 한 자리 서술어 없음, ③은 관형사 없음, ⑤는 높임 선어말 어미 없음.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q38", "number": 38, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 18, "status": "correct", "answer": 4, "explanation": "㉦ '그건'과 ㉩ '그건'은 모두 앞서 정원이 말한 '간식 준비를 나눠 맡자'는 내용을 가리킨다. ㉢은 작년 운동장, ㉤·㉥은 상대 학교, ㉧은 동의, ㉪은 곤란함을 나타내므로 다른 선지는 부적절하다.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q39", "number": 39, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 18, "status": "correct", "answer": 1, "explanation": "'시작되다'는 명사 '시작'에 '-되-'가, '낮추다'는 형용사 '낮-'에 사동 접미사 '-추-'가 붙어 각각 동사를 파생했으므로 어근과 다른 품사가 되었다. '빼앗기다'는 피동, '말리다'는 사동, '친구랑'은 부사어이나 '미술관이랑'은 접속 조사, '만나'는 연결 어미이다.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q40", "number": 40, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "(나)에는 책을 놓쳐 안타까워하는 감정을 보완하는 우는 동물 그림이 있으나 (가)에는 없다. (가)는 게시 날짜가 없고 (나)는 '전체 공개'이며 (가)에는 수용자 반응 기호가 없다.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q41", "number": 41, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "'동동'은 수령 기간을 10업무일 정도로 늘려 달라고 건의하겠다고 했지, 재신청 불가 기간 연장에 대한 계획을 밝힌 것이 아니다.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q42", "number": 42, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 19, "status": "correct", "answer": 5, "explanation": "'카드 4'의 달력 이미지는 '수신일로부터 3업무일'이라는 수령 기간(기한) 계산을 보여 주는 것이지 수령 시간(09:00~18:00)을 제시한 것이 아니다.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q43", "number": 43, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "ⓑ의 '-어요'는 '~것이 아니겠어요?'로 글쓴이가 독자에게 자신의 경험을 전달하는 표현이지, 문자 발송 주체가 응답을 요구하는 것을 나타내지 않는다.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q44", "number": 44, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 20, "status": "correct", "answer": 4, "explanation": "혜정은 다겸에게 공유 화면을 아래로 내려 달라고 요청했을 뿐이며, 다겸이 화면 공유 권한을 넘긴 장면은 없다.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q45", "number": 45, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 20, "status": "correct", "answer": 3, "explanation": "(나)에서 단맛의 비밀과 소화제 원리는 '더 보기'를 클릭해 새 창에서 확인하도록 구성되었지, 상세 내용을 아래로 펼치는 기능을 활용한 것이 아니다.", "abstain_reason": null, "time_seconds": 6.949363636363636, "usage": { "input_tokens": 1756.2727272727273, "cached_input_tokens": 59.36363636363637, "cache_write_input_tokens": 1499, "output_tokens": 582.4545454545455, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05900865909090909, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q01", "number": 1, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "9^(1/4)=3^(1/2)이므로 3^(1/2)×3^(-1/2)=1.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q02", "number": 2, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "극한값은 f'(1)이고 f'(x)=9x²+4이므로 f'(1)=13.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q03", "number": 3, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "2Σa_k − (1+2+3+4)=0이므로 Σa_k=5.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q04", "number": 4, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "x=1에서 연속이려면 3−2=1−3+a, a=3.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q05", "number": 5, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "f'(x)=(2x²−x−2)+(x+2)(4x−1), f'(1)=−1+9=8.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q06", "number": 6, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "b=a³, log₃a²=1/2이므로 a=3^(1/4), b=3^(3/4), ab=3, log₉3=1/2.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q07", "number": 7, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "∫₀²(6/5)x²dx=(6/5)(8/3)=16/5.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q08", "number": 8, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "cosθ<0, tanθ=−3이므로 cosθ=−1/√10, sinθ=3/√10=3√10/10.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "f'(x)=3(x+3a)(x−a), 극값 f(a)=4−5a³<5이므로 f(−3a)=27a³+4=5, a=1/3. f(2)=8+4−2+4=14.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "A(p,a^p−2), B(p,0), C(p,−2). AB=BC→a^p=4, 넓이 2p=8→p=4, a=√2. a×OB=4√2=2^(5/2).", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "ㄱ: ∫₀¹(t²+4)dt=13/3 참. ㄴ: t²−3t+4>0 항상이므로 방향 안 바뀜, 거짓. ㄷ: v=(t−1)(t−4), 거리=11/6+7/6=3 참.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "correct", "answer": 2, "explanation": "r³=2, a₁(1+2+4)=3→a₁=3/7, a₁₀=a₁r⁹=(3/7)·8=24/7.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "l: y=−2x−4, g'(1)=−4이므로 m: y=−4x+10. 교점 (7,−18), y절편 −4, 10. 넓이=(1/2)·14·7=49.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "AC=5, AG=2, CG=2√6에서 cos∠ACG=3√6/8, sin=√10/8. 삼각형 CEG에서 EG=√6, 외접원 반지름 R=4√15/5. GH=2R·sin∠BAC=2·(4√15/5)·(4/5)=32√15/25.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "h'(x)=g−f는 x≥1에서 항상 한 번 부호가 바뀌고, x<−1에서 x²+ax+a가 부호 변화 없으려면 a≤4이므로 k=4. h(3)=1/6+∫₁³(−t²+5t−4)dt=7/2, 합 15/2.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "a₂=1·1+1=2, a₃=4·2+1=9.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "F(x)=x⁴−x²+4, F(2)=16−4+4=16.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "sinA=4/5, 넓이=(1/2)·5·6·(4/5)=12.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "g'(x)=6(x+2)(x−1), [−2,2]에서 최대 g(−2)=12, 최소 g(1)=−15이므로 k≥15.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "correct", "answer": 130, "explanation": "(가)=n/3, 2a_n+a_{n+1}=n. n=2 대입하면 a₂=10. 합=17+Σ(2k+1)(k=1~5)=17+35=52. 10×52/4=130.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "correct", "answer": 65, "explanation": "(가)에서 f(0)=f(2)=0, f(x)=cx(x−2)(x−r). 조건 (나)의 집합이 두 자연수가 되려면 t=2, r∈(3,4]이고 {3c(1+r),(7/2)c(r−1)}={2,3}에서 r=11/3, c=3/14. g(−5)=−f(−5)=65.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q22", "number": 22, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 457, "source_page": 8, "status": "correct", "answer": 457, "explanation": "16^b=8a+2, 4^s=4u+2 비교하면 B=(2b,2a)로 A'의 2배점이 되어 직선 OB 위에 있음. a+2b=77/4, 2a+b=133/4에서 a=63/4, b=7/4, ab=441/16, p+q=457.", "abstain_reason": null, "time_seconds": 5.54390909090909, "usage": { "input_tokens": 1586.8636363636363, "cached_input_tokens": 29.681818181818183, "cache_write_input_tokens": 1441.8636363636363, "output_tokens": 520.5909090909091, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.05481917045454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q23", "number": 23, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 9, "status": "correct", "answer": 3, "explanation": "중복순열 4Π3 = 4^3 = 64.", "abstain_reason": null, "time_seconds": 6.472125, "usage": { "input_tokens": 2375, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.25, "output_tokens": 574.5, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.06836059374999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q24", "number": 24, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "P(A∩B)=P(A)P(B|A)=1/10이고 P(A∪B)=1이므로 P(B)=1-2/5+1/10=7/10.", "abstain_reason": null, "time_seconds": 6.472125, "usage": { "input_tokens": 2375, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.25, "output_tokens": 574.5, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.06836059374999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q25", "number": 25, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 10, "status": "correct", "answer": 2, "explanation": "전체 C(10,2)=45, 같은 색 20가지, 같은 수(2,3,4,5) 4가지로 배반이므로 24/45=8/15.", "abstain_reason": null, "time_seconds": 6.472125, "usage": { "input_tokens": 2375, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.25, "output_tokens": 574.5, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.06836059374999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q26", "number": 26, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "신뢰구간 길이는 2×2.58×5/6=4.3이므로 a=1.2+4.3=5.5.", "abstain_reason": null, "time_seconds": 6.472125, "usage": { "input_tokens": 2375, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.25, "output_tokens": 574.5, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.06836059374999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q27", "number": 27, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 11, "status": "correct", "answer": 4, "explanation": "확률합 10/12이므로 a=1/6. E(X)=5/2, E(X²)=15/2, V(X)=5/4, V(6X)=36×5/4=45.", "abstain_reason": null, "time_seconds": 6.472125, "usage": { "input_tokens": 2375, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.25, "output_tokens": 574.5, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.06836059374999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q28", "number": 28, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 11, "status": "correct", "answer": 2, "explanation": "홀수·4는 공 3개(홀수 개), 2·6은 공 2,4개(짝수 개)이므로 합이 홀수인 경우 640/1296. 3번상자-2번상자=1이면서 합이 홀수인 경우는 (홀수1회,6 3회) 12가지와 (홀수2회,4 1회,6 1회) 108가지로 120가지. 120/640=3/16.", "abstain_reason": null, "time_seconds": 6.472125, "usage": { "input_tokens": 2375, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.25, "output_tokens": 574.5, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.06836059374999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q29", "number": 29, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 977, "source_page": 12, "status": "correct", "answer": 977, "explanation": "기록이 3일 확률 p=(a/6)(5/16)+((6-a)/6)(1/8)=(a+4)/32, E(X)=4800에서 p=1/4, a=4. σ=√(19200·1/4·3/4)=60이므로 P(X≤4920)=P(Z≤2)=0.977.", "abstain_reason": null, "time_seconds": 6.472125, "usage": { "input_tokens": 2375, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.25, "output_tokens": 574.5, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.06836059374999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q30", "number": 30, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 262, "source_page": 12, "status": "correct", "answer": 262, "explanation": "1개 주머니 6개·2개 주머니 1개인 경우: 끝 28×2 + 안쪽 8×7=112가지. 1개 주머니 4개·2개 주머니 2개인 경우: 양끝 15, 한쪽 끝 45×2, 둘 다 안쪽 45로 150가지. 합 262.", "abstain_reason": null, "time_seconds": 6.472125, "usage": { "input_tokens": 2375, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2041.25, "output_tokens": 574.5, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.06836059374999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q23", "number": 23, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "lim tan6x/(2x) = 6/2 = 3.", "abstain_reason": null, "time_seconds": 11.542375, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 1082.125, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.09372635625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q24", "number": 24, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 13, "status": "correct", "answer": 4, "explanation": "√(sinx−sin³x)=√(sinx)·cosx 이므로 u=sinx 치환하면 ∫₀¹√u du = 2/3.", "abstain_reason": null, "time_seconds": 11.542375, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 1082.125, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.09372635625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q25", "number": 25, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 14, "status": "correct", "answer": 3, "explanation": "a_n/n → 5 이므로 극한은 25n²/(5n²+5n²) = 5/2.", "abstain_reason": null, "time_seconds": 11.542375, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 1082.125, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.09372635625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q26", "number": 26, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "단면 넓이 (√3/4)(x+x ln x), ∫₁²(x+x ln x)dx = 3/2 + (2ln2 − 3/4) = 3/4 + 2ln2 이므로 부피는 √3(3+8ln2)/16.", "abstain_reason": null, "time_seconds": 11.542375, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 1082.125, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.09372635625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q27", "number": 27, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "y−3x = −5e^{4t} = −5e 에서 t=1/4. dx/dt = e(6+π), dy/dt = e(3π−2) 이므로 기울기 (3π−2)/(π+6).", "abstain_reason": null, "time_seconds": 11.542375, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 1082.125, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.09372635625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q28", "number": 28, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "f'(x)=x²/(1+x), 거리 t = s·f'(s) = s³/(1+s). s=1→t=1/2, s=3→t=27/4 이고 ∫g dt = [st]₁³ − ∫₁³ s³/(1+s) ds = 81/4−1/2−(20/3−ln2) = 157/12+ln2.", "abstain_reason": null, "time_seconds": 11.542375, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 1082.125, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.09372635625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q29", "number": 29, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 97, "source_page": 16, "status": "correct", "answer": 97, "explanation": "a_n=na, 등비 조건에서 1/a=4, a=1/4, 공비 1/3, b_{k+1}=3. Σ1/(a_n a_{n+1})=16, Σb_n=3^{k+2}/2 이므로 32<3^{k+2}<92 → k=2, b₁=27. Σb_{2n}=81/8, a₂=1/2 → 81/16, p+q=97.", "abstain_reason": null, "time_seconds": 11.542375, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 1082.125, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.09372635625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q30", "number": 30, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 11, "source_page": 16, "status": "correct", "answer": 11, "explanation": "f⁻¹는 기함수 h(x)=x(5−x²)/2 (|x|≤1), sgn(x)(e^{|x|−1}+1) (|x|>1). 직선 y=m(x−1)과의 교점 수는 m≤0: 1, 0b: 1 (b는 접선 기울기, b=v/2, ve^v=2). a=0, g(0)=1, 우극한 3, g(b)=2, ln b/b = −2 이므로 3+2·4=11.", "abstain_reason": null, "time_seconds": 11.542375, "usage": { "input_tokens": 2379, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043.25, "output_tokens": 1082.125, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.09372635625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q23", "number": 23, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "a+b=(3,0)이므로 성분의 합은 3.", "abstain_reason": null, "time_seconds": 10.17225, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 936.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.08757248125000001, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q24", "number": 24, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 17, "status": "correct", "answer": 1, "explanation": "y²=12(x-2)는 y²=4·3·(x-2)이므로 p=3, 초점과 준선 사이 거리는 2p=6.", "abstain_reason": null, "time_seconds": 10.17225, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 936.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.08757248125000001, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q25", "number": 25, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 18, "status": "correct", "answer": 5, "explanation": "B(-3,-3/2,-2), C(-3,3/2,2)이므로 BC=√(0+9+16)=5.", "abstain_reason": null, "time_seconds": 10.17225, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 936.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.08757248125000001, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q26", "number": 26, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 18, "status": "correct", "answer": 2, "explanation": "초점은 (0,±√2a), 접선 x/a-√2y/a=-1의 y절편은 a/√2이므로 PF·PF'=(a/√2)(3a/√2)=3a²/2=8, a=4√3/3.", "abstain_reason": null, "time_seconds": 10.17225, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 936.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.08757248125000001, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q27", "number": 27, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "AD=BC에서 CD∥AB인 등변사다리꼴이 되고 H는 AB에서 거리 2인 점이므로 △ABH=5, 사다리꼴 넓이 4√(4+h²)=20에서 h²=21.", "abstain_reason": null, "time_seconds": 10.17225, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 936.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.08757248125000001, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q28", "number": 28, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "H는 CD의 중점이고 △ABH는 한 변 4인 정삼각형, 구의 반지름 2√3/3, AG=4√3/3이므로 T는 반지름 1인 원이며 그 평면(AG에 수직)과 평면 ABC가 이루는 각의 코사인이 1/4이므로 정사영 넓이는 π/4.", "abstain_reason": null, "time_seconds": 10.17225, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 936.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.08757248125000001, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q29", "number": 29, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 360, "source_page": 20, "status": "correct", "answer": 360, "explanation": "F가 타원의 꼭짓점이고 A,H가 대칭이므로 AB+HB=2a=3p-x₀, 둘레=4p=p+27에서 p=9; 넓이 조건에서 A(1,6), H(-9,6)이므로 HF²=18²+6²=360.", "abstain_reason": null, "time_seconds": 10.17225, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 936.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.08757248125000001, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q30", "number": 30, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 221, "source_page": 20, "status": "correct", "answer": 221, "explanation": "PA+PB=2PO를 이용하면 조건은 P·Q=-48(원점 O 기준)이 되어 Q는 B를 직선 OP에 대해 대칭이동한 점; P=(-24√2/5,7√2/5), Q=(527√2/125,-336√2/125)로 PA·QB=-196/25, 따라서 p+q=221.", "abstain_reason": null, "time_seconds": 10.17225, "usage": { "input_tokens": 2378.75, "cached_input_tokens": 81.625, "cache_write_input_tokens": 2043, "output_tokens": 936.625, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.08757248125000001, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q01", "number": 1, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "남자는 숙면을 돕는 앱 Nightly Journey를 소개하고 사용을 권한다.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q02", "number": 2, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 실내 암벽 등반이 문제 해결 능력 향상에 도움이 된다고 말한다.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q03", "number": 3, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "Making a big pose can relieve your anxiety가 요지.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q04", "number": 4, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "대화에서는 테이블 주변 의자가 세 개라 했으나 그림에는 두 개.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q05", "number": 5, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 재료 배송 확인을 오후에 하겠다고 함.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q06", "number": 6, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "중형 히터 $70 + 가죽 슬리퍼 2켤레 $20 = $90, 쿠폰 사용 불가.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q07", "number": 7, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "이른 비즈니스 미팅이 티 클럽과 겹침.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q08", "number": 8, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "장소, 날짜, 상품, 신청 방법은 언급되었으나 후원 기관은 언급 없음.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q09", "number": 9, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "개인이 아닌 팀으로 신청해야 한다고 함.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q10", "number": 10, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "$10 이하, 나무 손잡이 제외, 칼 3개 이상, 선물 상자 없음 → D.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q11", "number": 11, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "도착할 때까지 딸을 봐달라는 요청에 승낙하며 운전 조심하라는 응답이 적절.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q12", "number": 12, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "직행 버스가 있는 곳을 고르겠다고 했으므로 Rosemary를 선택하겠다는 응답.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q13", "number": 13, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "전체 키트는 필요 없다고 했으므로 교체 부품만 보내주겠다는 응답.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q14", "number": 14, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "주말에 함께 식사 준비를 해보라는 제안에 동의하는 응답.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q15", "number": 15, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "Olivia는 자전거로 직접 각 장소를 방문하자고 제안하려 함.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q16", "number": 16, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "빠르게 자라 과학 실험에 적합한 식물들을 소개.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q17", "number": 17, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "bamboo, lettuce, sunflowers, peas 언급; corn은 없음.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q18", "number": 18, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "새 동아리 개설 제안서를 제출하라고 독려하는 글.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q19", "number": 19, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "길을 몰라 혼란스러워하다가 익숙한 벽화를 보고 미소 지음: confused → pleased.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q20", "number": 20, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "작사가들의 언어·문학 기여가 인정되어야 한다는 주장.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q21", "number": 21, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "디지털 플랫폼이 일과 특정 장소의 연결을 끊어 공간적 유연성을 높였다는 의미.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q22", "number": 22, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "스포츠 산업에서 협력과 경쟁을 동시에 균형 있게 추구해야 한다는 요지.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q23", "number": 23, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "대중교통에서는 속도보다 빈도(frequency)가 중요하다는 내용.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q24", "number": 24, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "culturtainment의 경제적 이익과 본래 메시지 상실 위험 사이의 긴장을 다룸.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q25", "number": 25, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "Less Often에서 emailing(43)은 두 번째가 아니라 가장 높음.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q26", "number": 26, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "Borden Award는 1952년, Morrison Award는 그 이듬해 수상.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q27", "number": 27, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "학생 투표로 선정되는 종소리는 네 개가 아니라 세 개.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q28", "number": 28, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "The pass can be purchased only online.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q29", "number": 29, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "문장의 본동사가 없으므로 being → is가 되어야 함.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q30", "number": 30, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "가능한 한 많은 반칙을 저질러 경쟁 우위를 얻으려는 것이므로 abandon → gain.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q31", "number": 31, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "수급 정보가 수익(profitability)의 핵심이라 비밀리에 운영함.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q32", "number": 32, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "글쓰기는 즉각적 피드백이 없으므로 부재한 독자의 반응을 예상해야 함.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q33", "number": 33, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "설계 과정에서 사용자 의견을 들으면 더 만족한다는 내용.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q34", "number": 34, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "이성적으로 선택하지 않을 일을 금지하는 법은 자유의 제약으로 볼 수 없음.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q35", "number": 35, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "목공 수업을 디자인 수업보다 먼저 등록하라는 문장은 자기 관리 우선순위 흐름과 무관.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q36", "number": 36, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "(C) 반복 과정의 예 → (A) 반복 없는 시계는 거의 없음(양초) → (B) 방사성 탄소 연대측정도 마찬가지.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q37", "number": 37, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 4, "explanation": "(C) 인지과학에서 철학의 역할과 비경험적 특성 → (A) 경험적 보완 필요 → (B) 철학과 신경과학 협력.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement", "official_status": "incorrect", "accepted_answers": [ 4, 5 ], "benchmark_adjusted": true }, { "id": "2026-english-english-q38", "number": 38, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 5, "explanation": "대학 졸업생 예시 뒤, 정체성(정치 이념) 예시 앞에 '정체성에 뿌리내린다'는 문장이 들어감.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q39", "number": 39, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "'현실처럼 지각에는 행동이 필요하다' 뒤에 '차이점은 아바타를 통해서만'이 이어지고, 이후 플레이어가 지각 영역을 확장함.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q40", "number": 40, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "외부 자금 의존으로 경제적 어려움(challenges)을 겪지만 경험을 중시하는 관객을 확보(secure)함.", "abstain_reason": null, "time_seconds": 1.5336666666666667, "usage": { "input_tokens": 2220.822222222222, "cached_input_tokens": 14.511111111111111, "cache_write_input_tokens": 2129.688888888889, "output_tokens": 128.17777777777778, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.048984696666666674, "measurement_basis": "Group request duration and usage divided equally; 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"2026-math-common-q21", "2026-math-common-q22", "2026-math-probability-q23", "2026-math-probability-q24", "2026-math-probability-q25", "2026-math-probability-q26", "2026-math-probability-q27", "2026-math-probability-q28", "2026-math-probability-q29", "2026-math-probability-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 24, "incorrect": 3, "abstained": 3, "errors": 0, "pending": 0, "score": 81, "max_score": 100, "accuracy": 80, "abstention_rate": 10, "attempt_accuracy": 88.88888888888889, "wall_time_seconds": 1086.2350000000001, "solver_time_seconds": 1086.2350000000001, "usage": { "input_tokens": 33985.000000000015, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 210787.99999999997, "reasoning_output_tokens": 208019.00000000003 }, "estimated_cost_usd": 0.2631410999999998, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 24, "incorrect": 3, "abstained": 3, "errors": 0, "pending": 0, "score": 81, 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"2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-calculus-q23", "2026-math-calculus-q24", "2026-math-calculus-q25", "2026-math-calculus-q26", "2026-math-calculus-q27", "2026-math-calculus-q28", "2026-math-calculus-q29", "2026-math-calculus-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 23, "incorrect": 4, "abstained": 3, "errors": 0, "pending": 0, "score": 77, "max_score": 100, "accuracy": 76.66666666666667, "abstention_rate": 10, "attempt_accuracy": 85.18518518518519, "wall_time_seconds": 1247.2219999999995, "solver_time_seconds": 1247.2219999999995, "usage": { "input_tokens": 33995.000000000015, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 246015.99999999997, "reasoning_output_tokens": 243484.00000000003 }, "estimated_cost_usd": 0.30541769999999985, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 23, "incorrect": 4, "abstained": 3, "errors": 0, "pending": 0, 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"2026-math-common-q19", "2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-geometry-q23", "2026-math-geometry-q24", "2026-math-geometry-q25", "2026-math-geometry-q26", "2026-math-geometry-q27", "2026-math-geometry-q28", "2026-math-geometry-q29", "2026-math-geometry-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 23, "incorrect": 4, "abstained": 3, "errors": 0, "pending": 0, "score": 77, "max_score": 100, "accuracy": 76.66666666666667, "abstention_rate": 10, "attempt_accuracy": 85.18518518518519, "wall_time_seconds": 1522.9860000000003, "solver_time_seconds": 1522.9860000000003, "usage": { "input_tokens": 39043.000000000015, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 301693, "reasoning_output_tokens": 298899 }, "estimated_cost_usd": 0.37374449999999976, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 23, "incorrect": 4, "abstained": 3, "errors": 0, "pending": 0, 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"2026-english-english-q17", "2026-english-english-q18", "2026-english-english-q19", "2026-english-english-q20", "2026-english-english-q21", "2026-english-english-q22", "2026-english-english-q23", "2026-english-english-q24", "2026-english-english-q25", "2026-english-english-q26", "2026-english-english-q27", "2026-english-english-q28", "2026-english-english-q29", "2026-english-english-q30", "2026-english-english-q31", "2026-english-english-q32", "2026-english-english-q33", "2026-english-english-q34", "2026-english-english-q35", "2026-english-english-q36", "2026-english-english-q37", "2026-english-english-q38", "2026-english-english-q39", "2026-english-english-q40", "2026-english-english-q41", "2026-english-english-q42", "2026-english-english-q43", "2026-english-english-q44", "2026-english-english-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 45, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 142.0699999999999, "solver_time_seconds": 142.0699999999999, "usage": { "input_tokens": 28110.000000000015, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 25347.999999999985, "reasoning_output_tokens": 22274.00000000001 }, "estimated_cost_usd": 0.03885060000000002, "adjusted_correct": 1 }, "official_summary": { "total_questions": 45, "correct": 44, "incorrect": 1, "abstained": 0, "errors": 0, "pending": 0, "score": 97, "max_score": 100, "accuracy": 97.77777777777777, "abstention_rate": 0, "attempt_accuracy": 97.77777777777777, "wall_time_seconds": 142.0699999999999, "solver_time_seconds": 142.0699999999999, "usage": { "input_tokens": 28110.000000000015, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 25347.999999999985, "reasoning_output_tokens": 22274.00000000001 }, "estimated_cost_usd": 0.03885060000000002 } } ], "questions": [ { "id": "2026-korean-common-q01", "number": 1, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "단순 관점이 아니라 다수의 관점에서 해독 발달에 듣기 경험이 중요하다고 했을 뿐, 독해 능력 발달을 위해 만 3세 이전 듣기 경험이 앞서야 한다는 내용은 없다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q02", "number": 2, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "단순 관점은 해독과 언어 이해를 바탕으로 의미 이해에 이르는 사고 과정을 설명하지 않는다는 비판이 마지막 문단에 제시되어 있다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q03", "number": 3, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 1, "status": "incorrect", "answer": 3, "explanation": "A는 해독은 충분하지만 언어 이해가 부족한 사례이므로, 언어 이해가 구어 의사소통이 아닌 글 읽기 경험을 통해 발달될 수 있다고 보았다는 진술은 글의 내용과 맞지 않는다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q04", "number": 4, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "(가)는 문리·체계적·역사적 해석 등 법조문 해석 방법을 구분해 제시하고, (나)는 보증 계약에 관한 주요 개념과 법적 규제 내용을 설명하고 있다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q05", "number": 5, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "유상 계약에서 담보는 거래 대상의 가치 차이를 보장하는 의미로 해석되지만, 교환 대상 사이의 가치가 일치해야 계약이 체결된다는 내용은 글에 없다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q06", "number": 6, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "보증 계약은 보증인에게만 채무를 발생시키므로 유상 계약이 아니며, 대가 지급 의무자는 보증 계약의 당사자가 아닌 주채무자이기 때문이다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q07", "number": 7, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "incorrect", "answer": 2, "explanation": "현대 보증인은 '보증인 보호를 위한 특별법'의 적용 대상으로 설명되므로, 제2조의 규정에 해당한다는 진술이 가장 적절하다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q08", "number": 8, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 3, "status": "incorrect", "answer": 1, "explanation": "주채무자의 예금에 대한 채권자의 상계나 보증 책임에 관한 글의 법리를 종합할 때, 갑의 예금이 보증과 무관하게 채권자에게 귀속된다는 진술은 적절하지 않다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q09", "number": 9, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "incorrect", "answer": 1, "explanation": "㉠은 '구성하는'의 의미인데 '이로운'으로 바꾸면 문맥에 맞지 않는다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q10", "number": 10, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 4, "status": "correct", "answer": 5, "explanation": "반응 원료 시간은 띠의 두께가 얇을수록 짧아지므로, 띠가 얇을수록 끝이 빠르게 움직인다는 내용은 글과 일치한다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q11", "number": 11, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "온도를 올릴 때는 선형 열팽창 계수가 작은 P층 쪽으로 휘지만, 온도를 내릴 때는 팽창 계수가 큰 Q층 쪽으로 휘므로 ③은 적절하지 않다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q12", "number": 12, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 4, "status": "incorrect", "answer": 2, "explanation": "T0에서 T1으로 올릴 때 b는 휘지만 a는 아직 평평하므로, a의 곡률 반지름이 b보다 작다는 진술은 옳지 않다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q13", "number": 13, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 4, "status": "incorrect", "answer": 3, "explanation": "㉠은 '돌아오다'의 의미이고, ㉡은 문맥상 '돌다'의 의미로 쓰인 예를 바르게 짝지은 것은 ③이다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q14", "number": 14, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 5, "status": "incorrect", "answer": 4, "explanation": "스트로슨은 시간과 신체의 제약 안에서 신체를 매개로 대상을 경험하는 것이 피할 수 없는 경험적 사실이라고 보았다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q15", "number": 15, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "incorrect", "answer": 5, "explanation": "[A] 뒤에서 두 전제에 등장하는 '의식'의 의미 차이를 설명하므로, 두 전제가 어떻게 구분되는지 묻는 질문에 답할 수 있다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q16", "number": 16, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "incorrect", "answer": 4, "explanation": "롱게네스는 인격을 도덕적 존재이자 자율성을 지닌 존재로 간주하는 칸트의 견해를 잘못이라고 비판했으므로, 둘 모두가 이를 수용한다는 진술은 적절하지 않다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q17", "number": 17, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "칸트는 '생각하는 나'의 지속만으로는 영혼의 실체나 인격의 동일성을 보장할 수 없다고 보았으므로 갑의 입장은 칸트의 견해에 부합한다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q18", "number": 18, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 7, "status": "incorrect", "answer": 5, "explanation": "작품에서 호랑이가 낭패감을 느끼고 자신이 예절을 행한 것이라고 생각했다는 내용은 확인되지 않는다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q19", "number": 19, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 7, "status": "correct", "answer": 4, "explanation": "㉣은 자라가 자신의 행위로 위험에 빠진 공간이고, ㉤은 그 위험에서 벗어나고자 하는 공간이라는 설명이 문맥에 가장 부합한다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q20", "number": 20, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "incorrect", "answer": 5, "explanation": "㉤과 ㉥은 동일한 주체가 상대의 예상 밖 제안에 대해 보인 반응이라는 설명이 가장 적절하다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q21", "number": 21, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "자라가 '동의보감'을 떠올린 데서 현실의 의지를 우회 속 상황에 종합하여 위선적 인간에 대한 비판을 드러낸다는 감상은 작품의 설명 방식과 부합하지 않는다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q22", "number": 22, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "incorrect", "answer": 4, "explanation": "(가)와 (다)는 모두 은유적 표현을 통해 주체의 태도 변화 과정을 보여 주고 있다는 설명이 가장 적절하다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q23", "number": 23, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "incorrect", "answer": 5, "explanation": "(가)에서 '빛나는 빛'을 위해 소금을 뿌리거나 새벽까지 감돌이 움직이는 것은 행동과 소망을 함께 갈망 있게 하려는 의식의 작용을 드러낸다는 감상은 적절하지 않다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q24", "number": 24, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "incorrect", "answer": 2, "explanation": "㉡은 좋은 소리로부터 멀리 떨어진 내일들도 그리워하는 소리가 있다는 설명은 ㉡의 의미와 맞지 않는다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q25", "number": 25, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "incorrect", "answer": 3, "explanation": "화자는 ㉡의 존재가 나무의 시련을 닮았다가 할순간에 떠난 것을 보며 자신의 사랑이 끝났음을 떠올리고 있다는 설명이 (나)의 흐름과 가장 부합한다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q26", "number": 26, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 9, "status": "incorrect", "answer": 1, "explanation": "(다)는 만물이 소리 나는 이치를 밝히며 소리를 화두로 본질을 말하고 있다는 감상은 글의 중심 내용과 어긋난다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q27", "number": 27, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "incorrect", "answer": 3, "explanation": "온 씨가 허명두와 대화하며 상대에 대한 자신의 심적 갈등을 확인하고자 했다는 내용은 [A]의 흐름과 맞지 않는다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q28", "number": 28, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "incorrect", "answer": 2, "explanation": "㉠가 처음 전개된 지점이 ㉡가 처음 시작된 지점보다 앞선다는 설명이 서사 전개상 가장 적절하다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q29", "number": 29, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 11, "status": "correct", "answer": 1, "explanation": "고등독자가 연결된 이후 새로운 사람들의 관심을 받게 되었다는 설명이 '독자층'에 대한 이해로 가장 적절하다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q30", "number": 30, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 11, "status": "incorrect", "answer": 5, "explanation": "㉤을 통해 현실의 변화를 인식하면서도 과거의 연을 그리워하는 인물의 자기중심적 태도가 드러난다는 설명은 <보기>의 서술자 초점화 방식과 부합하지 않는다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q31", "number": 31, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 12, "status": "correct", "answer": 2, "explanation": "(가)는 대구와 대조 표현을 함께 사용하여 화자의 괴로운 처지를 드러내고 있다는 설명이 가장 적절하다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q32", "number": 32, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 12, "status": "correct", "answer": 4, "explanation": "㉣은 이 부사에 대한 평가로, 좋은 숲을 얻은 것을 그가 얻은 인의에 의한 것이라고 말하려 했다는 설명은 문맥과 맞지 않는다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q33", "number": 33, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 12, "status": "correct", "answer": 1, "explanation": "㉠은 간직하지 못하고 떠나 보낸 대상이라는 이해가 가장 적절하다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q34", "number": 34, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 12, "status": "correct", "answer": 3, "explanation": "(다)에서 임이 웃어 그름에 걸치는 것을 보고 화자가 임의 마음에 거리감을 두려는 것은 임에 대한 예의를 보여 준다는 감상은 적절하지 않다.", "abstain_reason": null, "time_seconds": 10.390529411764707, "usage": { "input_tokens": 416.1764705882353, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1810.235294117647, "reasoning_output_tokens": 1730.3529411764705 }, "estimated_cost_usd": 0.002297135294117647, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q35", "number": 35, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 13, "status": "correct", "answer": 2, "explanation": "발표자는 풍혈지의 개념을 설명하고 청중과 공유한 경험을 환기하며 마무리하지만, 전문가의 견해를 직접 인용한 부분은 나타나지 않는다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q36", "number": 36, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 13, "status": "correct", "answer": 5, "explanation": "[자료3]은 풍혈지에서 발견된 북방계 식물 목록과 산림청 지정 희귀 식물 여부를 표시한 자료로, ㉤에 활용하였다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q37", "number": 37, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "학생3은 발표에서 얻은 풍혈지 정보가 지역 보고서 작성에 도움이 된다고 평가하므로, 정보의 유용성 측면에서 평가한 반응이다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q38", "number": 38, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 14, "status": "incorrect", "answer": 2, "explanation": "(가)의 두 전문가도 특정 집단을 대표하기보다는 영상 분야 전문가로 참여해 각자의 견해를 밝히고 있으므로 ②가 적절하지 않다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q39", "number": 39, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 15, "status": "incorrect", "answer": 1, "explanation": "㉠은 대화를 시작하는 첫 발화로, 다른 참여자들의 앞선 발언 내용을 종합한 것이 아니다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q40", "number": 40, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 15, "status": "incorrect", "answer": 4, "explanation": "(다)는 전문가2가 언급한 기술 발달을 웹툰 영상화 유행의 원인으로 제시하며, 이를 학생3이 언급한 의견과 연결해 필자의 관점을 뒷받침한다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q41", "number": 41, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "(다)는 웹툰 영상화 유행의 영향을 영상 산업과 웹툰 산업으로 구분해 서술하고 있으므로 ④가 적절하다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q42", "number": 42, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "수정된 글에는 영상 제작의 노력이 아니라 웹툰 작품과 창의적 상상력을 위한 노력이 추가되었으므로 ④가 적절하지 않다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q43", "number": 43, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 16, "status": "incorrect", "answer": 1, "explanation": "[A]에는 완벽주의적 자기 제시 성향을 완화하기 위한 긍정적 평가와 심리적 안정감의 관련성을 밝히는 내용이 들어가야 한다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q44", "number": 44, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 16, "status": "correct", "answer": 2, "explanation": "초고는 완벽주의적 자기 제시 성향의 장단점을 설명하지 않고, 부정적 영향과 대처 방안을 중심으로 서술하고 있다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q45", "number": 45, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 16, "status": "correct", "answer": 5, "explanation": "ㄱ-2와 ㄷ은 걱정이 불안 해소에 효과가 있다는 내용을 뒷받침하지 않으므로, 5문단 보강 방안으로 적절하지 않다.", "abstain_reason": null, "time_seconds": 25.695636363636364, "usage": { "input_tokens": 471, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4562.545454545455, "reasoning_output_tokens": 4482.636363636364 }, "estimated_cost_usd": 0.005616354545454546, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q35", "number": 35, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "24자모 중 자음자는 각각 하나의 소리를 나타내는 것이 원칙이고, 이중 모음의 연쇄는 모음자에서 나타난다. 따라서 자음자가 두 소리의 연쇄를 나타낸다는 ③은 적절하지 않다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q36", "number": 36, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 17, "status": "incorrect", "answer": 1, "explanation": "15세기 국어의 'ㆆ'는 현대 국어의 'ㅎ'과 다른 별개의 문자이고, 소멸된 자음이다. 이를 'ㅎ'과 형식이 같다고 설명한 ①이 적절하지 않다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q37", "number": 37, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 17, "status": "incorrect", "answer": 3, "explanation": "관형사가 관형어로 쓰이고, 선어말 어미를 포함한 용언과 자릿수가 다른 서술어가 함께 있는 문장은 ③이다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q38", "number": 38, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 18, "status": "correct", "answer": 4, "explanation": "㉥ ‘거기랑’과 ㉦ ‘그런’은 앞선 대화에서 이미 언급된 장소와 내용을 가리키는 지시 표현이다. 따라서 ④가 적절하다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q39", "number": 39, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 18, "status": "correct", "answer": 1, "explanation": "‘시작되자’의 ‘-되-’와 ‘쳤다’의 ‘-었-’은 모두 어근에 결합하여 서술어의 어간을 이루는 요소로 분석될 수 있다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q40", "number": 40, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "incorrect", "answer": 1, "explanation": "(가)는 도서관 알림 메시지로 신청 절차 등 수용자가 직접 활용할 수 있는 방법을 제시하지만, (나)는 개인의 경험을 서술한다. 따라서 ①이 가장 적절하다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q41", "number": 41, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "동훈은 옷잎의 생각을 연결 짓기보다 자신이 수령 마감일을 놓친 경험을 제시하며 반납 기간에 대한 의문을 드러낸다. 따라서 ④가 적절하지 않다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q42", "number": 42, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 19, "status": "incorrect", "answer": 4, "explanation": "카드 4는 수령 기간과 시간 등 유의 사항을 홈페이지에서 확인하라는 내용을 담고 있을 뿐, 도서관에서 이용 방법을 확인해야 한다는 내용은 아니다. 따라서 ④가 적절하지 않다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q43", "number": 43, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "incorrect", "answer": 4, "explanation": "‘이거’는 카드 뉴스에서 유의 사항을 강조하는 표현으로, 인내가 필요함을 나타낸다는 설명은 문맥과 맞지 않다. 따라서 ④가 적절하지 않다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q44", "number": 44, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 20, "status": "incorrect", "answer": 1, "explanation": "㉠은 회의실 접속을 위한 ID와 암호에 관한 정보이고, 이를 장소의 정보로 설명한 ①은 적절하지 않다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q45", "number": 45, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 20, "status": "incorrect", "answer": 1, "explanation": "‘전통 음료 한 모금’이라는 제목은 서현이 제안한 표현으로, 서현과 도윤의 대화를 반영해 관련 행위를 연상시키는 문자 언어를 제시한 것으로 볼 수 있다. 따라서 ①이 적절하지 않다.", "abstain_reason": null, "time_seconds": 85.3589090909091, "usage": { "input_tokens": 1410, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 16067.454545454546, "reasoning_output_tokens": 15980.727272727272 }, "estimated_cost_usd": 0.01970394545454545, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q01", "number": 1, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "incorrect", "answer": 4, "explanation": "9^(1/2)×3^(1/2)=3×√3=3√3이므로 ④이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q02", "number": 2, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "incorrect", "answer": 1, "explanation": "f(x)=3x^3-2x+1로 보면 f'(x)=9x^2-2이므로 f'(1)=7이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q03", "number": 3, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 1, "status": "incorrect", "answer": 3, "explanation": "∑(2a_k-1)=0이면 2∑a_k-6=0이므로 ∑a_k=3이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q04", "number": 4, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "x=1에서 좌극한은 1, 우극한은 1-3+a=a-2이므로 a-2=1에서 a=3이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q05", "number": 5, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "f'(x)=(2x^2-x-2)+(x+2)(4x-1)이므로 f'(1)=-1+9=8이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q06", "number": 6, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "b=a^3, b/a=√3에서 a^2=√3, ab=3이므로 log_9 ab=log_9 3=1/2이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q07", "number": 7, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "교점 x=0부터 x=2까지 넓이는 ∫_0^2 (6/5 x^2) dx=16/5이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q08", "number": 8, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "sinθ=-3cosθ이고 cosθ<0이므로 sinθ>0이다. tan^2θ=9에서 sinθ=3√10/10이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "접점에서 f'(x)=0인 x=-3a, a 중 f(-3a)=5를 만족하면 a=1/3이고 f(2)=14이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "C가 점근선 y=-2 위에 있어 접선이 하나일 때 AB=BC와 넓이 8에서 t=4, a=√2이므로 a×OB=4√2=2^(5/2)이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "ㄱ: k=0일 때 위치 13/3으로 참. ㄴ: k=3이면 v(t)>0이라 거짓. ㄷ: k=5일 때 거리 3으로 참. 따라서 ㄱ, ㄷ이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "abstained", "answer": null, "explanation": "주어진 등비수열 조건으로 방정식을 세워도 보기와 정확히 맞는 값을 얻지 못해 기권한다.", "abstain_reason": "uncertain", "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "l: y=-2x-4, m: y=-4x+10의 교점 (7,-18)과 y축으로 둘러싸인 삼각형 넓이는 1/2×14×7=49이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "원의 반지름 R=4√15/5이고 ∠HCG=∠BAC이므로 GH=2R sin(∠BAC)=2R×4/5=32√15/25이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "h'(x)의 부호 변화를 분석하면 극값이 하나가 되는 a의 최댓값 k=4이고 h(3)=7/2이므로 k+h(3)=15/2이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "a2=1^2×1+1=2, a3=2^2×2+1=9이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "F(x)=x^4-x^2+C에서 F(0)=4이므로 C=4이고 F(2)=16-4+4=16이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "sin(∠BAC)=4/5이므로 넓이는 1/2×5×6×4/5=12이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "f(x)=2x^3+3x^2-12x-8의 [-2,2]에서 최대 절댓값은 f(1)=-15의 절댓값 15이므로 k의 최솟값은 15이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "correct", "answer": 130, "explanation": "a2=10이고 2a_{2k+1}+a_{2k+2}=2k+1이므로 주어진 합은 7+10+∑(2k+1)=52이다. (가)=n/3이므로 p×q/f(12)=10×52/4=130이다.", "abstain_reason": null, "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "abstained", "answer": null, "explanation": "조건 (나)의 자연수 m 집합 해석이 모호하고 g(-5)까지 이르는 계산이 확실하지 않아 기권한다.", "abstain_reason": "uncertain", "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q22", "number": 22, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 457, "source_page": 8, "status": "abstained", "answer": null, "explanation": "지수·로그 방정식이 복잡하고 a×b의 유리수 값을 정확히 구하지 못해 기권한다.", "abstain_reason": "uncertain", "time_seconds": 44.657590909090914, "usage": { "input_tokens": 1314.409090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 8694.636363636364, "reasoning_output_tokens": 8605.09090909091 }, "estimated_cost_usd": 0.010827886363636362, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q23", "number": 23, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 9, "status": "correct", "answer": 3, "explanation": "중복을 허락하여 4개 문자 중 3개를 일렬로 나열하는 경우의 수는 4^3=64이다. 따라서 ③.", "abstain_reason": null, "time_seconds": 12.971, "usage": { "input_tokens": 633.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2438.25, "reasoning_output_tokens": 2338.375 }, "estimated_cost_usd": 0.00311595, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q24", "number": 24, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "P(A∩B)=P(A)P(B|A)=2/5×1/4=1/10이고, P(A∪B)=P(A)+P(B)-P(A∩B)이므로 P(B)=1-2/5+1/10=7/10이다. 따라서 ①.", "abstain_reason": null, "time_seconds": 12.971, "usage": { "input_tokens": 633.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2438.25, "reasoning_output_tokens": 2338.375 }, "estimated_cost_usd": 0.00311595, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q25", "number": 25, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 10, "status": "correct", "answer": 2, "explanation": "전체 경우는 C(10,2)=45이다. 같은 색인 경우 20가지, 같은 수인 경우 4가지이므로 확률은 (20+4)/45=8/15이다. 따라서 ②.", "abstain_reason": null, "time_seconds": 12.971, "usage": { "input_tokens": 633.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2438.25, "reasoning_output_tokens": 2338.375 }, "estimated_cost_usd": 0.00311595, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q26", "number": 26, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "신뢰구간의 길이는 2×2.58×5/√36=4.3이므로 a=1.2+4.3=5.5이다. 따라서 ⑤.", "abstain_reason": null, "time_seconds": 12.971, "usage": { "input_tokens": 633.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2438.25, "reasoning_output_tokens": 2338.375 }, "estimated_cost_usd": 0.00311595, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q27", "number": 27, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 11, "status": "correct", "answer": 4, "explanation": "확률의 합이 1이므로 (1+1+3+5)/12+a=1에서 a=1/6이다. E(X)=5/2, E(X^2)=15/2이므로 V(X)=5/4이고, V((1/a)X)=6^2×5/4=45이다. 따라서 ④.", "abstain_reason": null, "time_seconds": 12.971, "usage": { "input_tokens": 633.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2438.25, "reasoning_output_tokens": 2338.375 }, "estimated_cost_usd": 0.00311595, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q28", "number": 28, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 11, "status": "correct", "answer": 2, "explanation": "전체 공의 합이 홀수일 조건은 홀수 시행 횟수 o와 4가 적힌 상자에 공을 넣는 횟수 b의 합이 홀수인 것이다. 3번 상자의 공 개수가 2번 상자보다 1개 많을 경우는 (o,c)=(1,3) 또는 (2,1)이고, 조건부확률은 (5/54)/(40/81)=3/16이다. 따라서 ②.", "abstain_reason": null, "time_seconds": 12.971, "usage": { "input_tokens": 633.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2438.25, "reasoning_output_tokens": 2338.375 }, "estimated_cost_usd": 0.00311595, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q29", "number": 29, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 977, "source_page": 12, "status": "correct", "answer": 977, "explanation": "한 번 시행에서 기록된 수가 3일 확률은 p=(a+4)/32이고, E(X)=19200p=4800에서 a=4, p=1/4이다. 표준편차가 60이므로 P(X≤4920)≈P(Z≤2)=0.5+0.477=0.977이고, 1000k=977이다.", "abstain_reason": null, "time_seconds": 12.971, "usage": { "input_tokens": 633.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2438.25, "reasoning_output_tokens": 2338.375 }, "estimated_cost_usd": 0.00311595, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q30", "number": 30, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 262, "source_page": 12, "status": "correct", "answer": 262, "explanation": "1개가 든 주머니가 4개이면 2개가 든 주머니는 2개이고, 6개이면 1개이다. 각 경우의 수를 세면 150과 112이므로 합은 262이다.", "abstain_reason": null, "time_seconds": 12.971, "usage": { "input_tokens": 633.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2438.25, "reasoning_output_tokens": 2338.375 }, "estimated_cost_usd": 0.00311595, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q23", "number": 23, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "tan(6x)/(2x) → (6x)/(2x)=3 as x→0.", "abstain_reason": null, "time_seconds": 33.094375, "usage": { "input_tokens": 634.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 6841.75, "reasoning_output_tokens": 6771.5 }, "estimated_cost_usd": 0.008400524999999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q24", "number": 24, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 13, "status": "correct", "answer": 4, "explanation": "√(sin x−sin^3 x)=cos x√(sin x). Let u=sin x, integral ∫0^1 u^{1/2}du=2/3.", "abstain_reason": null, "time_seconds": 33.094375, "usage": { "input_tokens": 634.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 6841.75, "reasoning_output_tokens": 6771.5 }, "estimated_cost_usd": 0.008400524999999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q25", "number": 25, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 14, "status": "correct", "answer": 3, "explanation": "The squeeze forces a_n=5n+O(1/n); evaluating the limit gives 5/2.", "abstain_reason": null, "time_seconds": 33.094375, "usage": { "input_tokens": 634.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 6841.75, "reasoning_output_tokens": 6771.5 }, "estimated_cost_usd": 0.008400524999999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q26", "number": 26, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "y^2=x+x ln x. Volume=√3/4∫_1^2(x+x ln x)dx=√3(3+8ln2)/16.", "abstain_reason": null, "time_seconds": 33.094375, "usage": { "input_tokens": 634.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 6841.75, "reasoning_output_tokens": 6771.5 }, "estimated_cost_usd": 0.008400524999999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q27", "number": 27, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "Intersection with y=3x−5e gives e^{4t}=e, so t=1/4. Slope dy/dx=(3π−2)/(π+6).", "abstain_reason": null, "time_seconds": 33.094375, "usage": { "input_tokens": 634.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 6841.75, "reasoning_output_tokens": 6771.5 }, "estimated_cost_usd": 0.008400524999999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q28", "number": 28, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "t=s^3/(s+1). ∫_{1/2}^{27/4}g(t)dt =∫_{s=1}^{3}s h'(s)ds=157/12+ln2.", "abstain_reason": null, "time_seconds": 33.094375, "usage": { "input_tokens": 634.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 6841.75, "reasoning_output_tokens": 6771.5 }, "estimated_cost_usd": 0.008400524999999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q29", "number": 29, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 97, "source_page": 16, "status": "correct", "answer": 97, "explanation": "a_n=n/4, b_n=3^{4−n} with k=2. Then a_2∑b_{2n}=(1/2)(81/8)=81/16, so p+q=16+81=97.", "abstain_reason": null, "time_seconds": 33.094375, "usage": { "input_tokens": 634.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 6841.75, "reasoning_output_tokens": 6771.5 }, "estimated_cost_usd": 0.008400524999999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q30", "number": 30, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 11, "source_page": 16, "status": "incorrect", "answer": 24, "explanation": "Using the inverse conditions and tangent slopes from (1,0), the discontinuities occur at a=−2 and b≈0.426; evaluating the given expression yields 24.", "abstain_reason": null, "time_seconds": 33.094375, "usage": { "input_tokens": 634.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 6841.75, "reasoning_output_tokens": 6771.5 }, "estimated_cost_usd": 0.008400524999999999, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q23", "number": 23, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "a+b=(3,0)이므로 모든 성분의 합은 3+0=3이다.", "abstain_reason": null, "time_seconds": 67.564875, "usage": { "input_tokens": 1265.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 13801.375, "reasoning_output_tokens": 13698.375 }, "estimated_cost_usd": 0.016941375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q24", "number": 24, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 17, "status": "correct", "answer": 1, "explanation": "y^2=12(x-2)에서 4p=12이므로 p=3. 초점은 (5,0), 준선은 x=-1이므로 거리는 6이다.", "abstain_reason": null, "time_seconds": 67.564875, "usage": { "input_tokens": 1265.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 13801.375, "reasoning_output_tokens": 13698.375 }, "estimated_cost_usd": 0.016941375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q25", "number": 25, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 18, "status": "correct", "answer": 5, "explanation": "B=(-3,-3/2,-2), C=(-3,3/2,2)이므로 BC=sqrt(0+9+16)=5.", "abstain_reason": null, "time_seconds": 67.564875, "usage": { "input_tokens": 1265.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 13801.375, "reasoning_output_tokens": 13698.375 }, "estimated_cost_usd": 0.016941375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q26", "number": 26, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 18, "status": "correct", "answer": 2, "explanation": "쌍곡선 y^2-x^2=a^2의 점 (a,√2a)에서 접선은 y-√2a=(1/√2)(x-a). y축 교점 P=(0,a/√2). PF×PF'=(a/√2)(3a/√2)=3a^2/2=8이므로 a=4√3/3.", "abstain_reason": null, "time_seconds": 67.564875, "usage": { "input_tokens": 1265.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 13801.375, "reasoning_output_tokens": 13698.375 }, "estimated_cost_usd": 0.016941375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q27", "number": 27, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "조건을 만족하는 사각형 ABCD는 등변사다리꼴이고 AB=5, CD=3. 삼각형 ABH의 넓이는 5, 사각형 ABCD의 넓이는 20이다. 높이를 sqrt(4+h^2)라 하면 4√(4+h^2)=20이므로 h^2=21, h=√21.", "abstain_reason": null, "time_seconds": 67.564875, "usage": { "input_tokens": 1265.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 13801.375, "reasoning_output_tokens": 13698.375 }, "estimated_cost_usd": 0.016941375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q28", "number": 28, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "좌표를 설정하면 G=(0,2,2√3/3)이고 구 S의 반지름은 2√3/3이다. ∠APG=π/2인 점은 AG를 지름으로 하는 구와 S의 교선인 원이고 반지름은 1. 평면 ABC와의 각의 코사인이 1/4이므로 정사영 넓이는 π/4.", "abstain_reason": null, "time_seconds": 67.564875, "usage": { "input_tokens": 1265.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 13801.375, "reasoning_output_tokens": 13698.375 }, "estimated_cost_usd": 0.016941375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q29", "number": 29, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 360, "source_page": 20, "status": "correct", "answer": 360, "explanation": "포물선 y^2=4px에서 A=(x,y), H=(-p,y)라 하자. 타원 성질에 의해 삼각형 AHB의 둘레는 (x+p)+2α=p+27, 넓이는 1/2(x+p)y=2p+12. 이를 풀면 p=9, x=1, y=6. HF^2=(2p)^2+y^2=18^2+6^2=360.", "abstain_reason": null, "time_seconds": 67.564875, "usage": { "input_tokens": 1265.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 13801.375, "reasoning_output_tokens": 13698.375 }, "estimated_cost_usd": 0.016941375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q30", "number": 30, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 221, "source_page": 20, "status": "incorrect", "answer": 421, "explanation": "주어진 식을 정리하면 2a·q+|q|^2=|b|^2=196 (a=PA, b=PB, q=PQ). |PB|=14, AB=10√2이므로 |PA|=2. 좌표계산으로 Q를 구하면 a·QB=-392/29이므로 |PA·QB|=392/29. 따라서 p+q=421.", "abstain_reason": null, "time_seconds": 67.564875, "usage": { "input_tokens": 1265.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 13801.375, "reasoning_output_tokens": 13698.375 }, "estimated_cost_usd": 0.016941375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q01", "number": 1, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "남자는 숙면을 돕는 앱 Nightly Journey의 기능을 소개하고 있으므로, 잠을 잘 자게 도와주는 앱을 소개하려는 목적이다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q02", "number": 2, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 실내 암벽 등반이 문제 해결 능력 향상에 도움이 된다고 말한다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q03", "number": 3, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "남자는 큰 포즈를 취하면 불안감을 완화할 수 있다고 조언한다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q04", "number": 4, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "대화에서 식탁 주위에 세 개의 의자가 있다고 했지만 그림에는 세 개가 아닌 것으로 보이므로 일치하지 않는다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q05", "number": 5, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "남자가 파이 반죽 재료 배송을 확인해 달라고 했고 여자가 오후에 하겠다고 했으므로 재료 배송 확인하기가 적절하다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q06", "number": 6, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "중형 전기히터 70달러와 가죽 슬리퍼 두 켤레 20달러를 합하면 90달러이고, 쿠폰은 사용할 수 없다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q07", "number": 7, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 이른 비즈니스 미팅이 티 클럽과 겹친다고 말한다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q08", "number": 8, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "장소, 날짜, 상품, 신청 방법은 언급되었지만 후원 기관은 언급되지 않았다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q09", "number": 9, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "개인이 아니라 팀으로 신청해야 한다고 했으므로 개인별로 신청해야 한다는 내용은 일치하지 않는다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q10", "number": 10, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "10달러 이하, 나무 손잡이 제외, 3개 이상, 선물 상자 없음 조건을 모두 만족하는 것은 D 세트이다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q11", "number": 11, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자가 도착할 때까지 딸을 돌봐 달라고 했으므로 남자는 운전 조심하라며 승낙하는 응답이 적절하다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q12", "number": 12, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 직행 버스가 있는 곳을 선택하겠다고 했고 남자가 Rosemary Amusement Park만 직행 버스가 있다고 했으므로 그곳을 선택하겠다는 응답이 적절하다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q13", "number": 13, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "여자는 전체 키트가 아니라 손상된 다리 부분만 필요하다고 했으므로 교체 부품을 보내주겠다는 응답이 적절하다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q14", "number": 14, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "남자가 함께 요리 준비를 하면 새로운 음식에 관심을 갖게 된다고 조언하자, 여자는 좋은 생각이라며 딸이 다양한 음식을 시도하길 바란다고 응답한다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q15", "number": 15, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "Olivia는 인터넷 정보만으로는 부족하므로 직접 자전거를 타고 모든 장소를 방문하자고 제안하는 것이 적절하다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q16", "number": 16, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "여자는 과학 실험에 적합한 빠르게 자라는 식물들을 소개하고 있으므로 주제는 과학 실험에 사용되는 빠르게 자라는 식물이다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q17", "number": 17, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "대나무, 상추, 해바라기, 완두콩은 언급되었지만 옥수수는 언급되지 않았다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q18", "number": 18, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "Amanda Clark은 학생들에게 새로운 동아리 개설 제안서를 제출하도록 독려하고 있다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q19", "number": 19, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "Sophie는 처음에는 혼란스러워하다가 익숙한 집을 발견하고 기뻐하므로 confused에서 pleased로 변화한다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q20", "number": 20, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "필자는 현대 음악 작사가들의 언어와 문학 발전에 대한 기여를 인정해야 한다고 주장한다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q21", "number": 21, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "디지털 플랫폼이 업무를 특정 장소에 묶이지 않게 하여 업무 수행의 공간적 유연성을 높였다는 의미이다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q22", "number": 22, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "스포츠 산업에서는 협력과 경쟁을 동시에 추구하는 균형 잡힌 접근이 필요하다는 것이 글의 요지이다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q23", "number": 23, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "대중교통에서 속도보다 운행 빈도가 중요하다는 내용이 중심이다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q24", "number": 24, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "문화 관광의 상업화가 가져오는 이익과 정체성 상실 위험을 다루므로 'Cash or Soul?'이 제목으로 가장 적절하다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q25", "number": 25, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "Less Often 범주에서 이메일링은 43%로 가장 높았으므로 두 번째로 높다는 설명은 일치하지 않는다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q26", "number": 26, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "Borden Award는 1952년, Morrison Award는 그 이듬해인 1953년에 받았으므로 1952년에 두 상을 모두 받았다는 설명은 틀렸다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q27", "number": 27, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "학생 투표로 세 개의 학교 종소리를 선정한다고 했으므로 네 개가 선정된다는 설명은 일치하지 않는다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q28", "number": 28, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "패스는 온라인으로만 구매할 수 있다는 내용이 안내문과 일치한다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q29", "number": 29, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "주어 The package에 맞는 동사가 필요한데 being은 문맥상 적절하지 않다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q30", "number": 30, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "경쟁 우위를 포기하려 한다는 것은 문맥상 어색하며, 경쟁 우위를 얻으려 한다는 의미가 되어야 한다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q31", "number": 31, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "수급 정보는 곡물 무역 회사들의 수익성에 핵심이었기 때문에 비밀리에 운영되었다는 흐름이다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q32", "number": 32, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "글쓴이는 대화의 양쪽을 상상해야 하므로 독자의 반응을 예상해야 한다는 내용이 빈칸에 적절하다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q33", "number": 33, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "사용자들이 설계 과정에서 자문을 받았을 때 새 건물에 더 만족할 가능성이 높다는 내용이다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q34", "number": 34, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "법이 이성적으로 선택하지 않을 행동을 금지한다면 그 법은 자유에 대한 제약으로 이해될 수 없다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q35", "number": 35, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "목공 수업을 디자인 수업보다 먼저 신청하라는 문장은 자기 돌봄과 장기적 우선순위라는 글의 흐름과 관계없다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q36", "number": 36, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "시계의 반복적 과정을 정의한 (C) 뒤에 양초 예시 (A), 방사성 탄소 연대 측정 (B)이 이어지는 순서가 자연스럽다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q37", "number": 37, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 4, "explanation": "철학의 통합적 역할을 설명한 (C) 뒤에 경험적 연구로 보완해야 한다는 (A), 의식 연구 협력 (B)이 이어지는 순서가 적절하다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement", "official_status": "incorrect", "accepted_answers": [ 4, 5 ], "benchmark_adjusted": true }, { "id": "2026-english-english-q38", "number": 38, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 5, "explanation": "내적 서사가 정체성에 깊이 뿌리내린다는 문장은 정치 성향의 예시를 제시하는 마지막 문장 앞에 들어가는 것이 자연스럽다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q39", "number": 39, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "현실 세계에서 지각은 행동을 필요로 한다는 문장 뒤에, 게임 세계에서의 차이를 설명하는 주어진 문장이 이어져야 한다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q40", "number": 40, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "외부 자금 의존으로 재정적 어려움이 생기지만, 공연 예술은 고유한 경험을 중시하는 관객을 확보한다는 요약이 적절하다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q41", "number": 41, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 8, "status": "correct", "answer": 2, "explanation": "복식사 연구에서 남아 있는 의복의 공백을 시각 자료가 메워준다는 내용이 중심이다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q42", "number": 42, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "미술 자료가 없다면 역사적 복식 전시는 원래 제작자의 의도를 왜곡한 모방이 되기 쉬우므로 unlikely가 아니라 likely가 되어야 한다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q43", "number": 43, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "Sam이 Mia를 설득하는 (D), 도서관에서 책을 고르는 (C), 가족 독서 모임을 하는 (B) 순서가 자연스럽다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q44", "number": 44, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 8, "status": "correct", "answer": 3, "explanation": "(a), (b), (d), (e)는 Mia를 가리키지만 (c)는 도서관 사서를 가리킨다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q45", "number": 45, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "Mia는 Sam의 독서 모임 제안을 처음에는 거절했으므로 처음부터 환영했다는 내용은 일치하지 않는다.", "abstain_reason": null, "time_seconds": 3.157111111111111, "usage": { "input_tokens": 624.6666666666666, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 563.2888888888889, "reasoning_output_tokens": 494.97777777777776 }, "estimated_cost_usd": 0.0008633466666666666, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" } ], "sources": [ { "subject": "korean", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093801&lev=0&m=0403&s=suneung" }, { "subject": "math", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093800&lev=0&m=0403&s=suneung" }, { "subject": "english", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093799&lev=0&m=0403&s=suneung" } ], "completed": true, "protocol": { "model": "deepseek-v4.1-flash", "provider": "deepseek", "effort": "high", "sdk_version": "Pi CLI 0.87.1", "tools": "disabled", "input": "original PDF rendered at 200 DPI", "english_listening": "official transcript rendered as images", "max_iterations": 3, "group_timeout_seconds": 900, "concurrency": 2, "cost_limit_usd": 25, "subscription_only": false, "api_key_fallback": false, "agent": "Pi", "api_model": "deepseek-flash", "api_base_url": "https://api.deepseek.com", "max_output_tokens": 65536, "effort_semantics": "high", "output_format": "prompted JSON; no tools", "image_resize": false, "route_hash": "6a121f872698e9e39ec13fab1106292aae41912da08aa817f36ceaf37ea1399d" }, "protocol_history": [], "billing": { "method": "pi_api", "api_key_used": true, "subscription_only": false, "user_authorized": true, "api_model": "deepseek-flash", "api_endpoint": "https://api.deepseek.com", "reference_cost_is_invoice": false }, "usage_complete": true, "limitations": [ "공식 정답은 ⑤번입니다. 본 벤치마크는 문장 연결의 대안적 해석을 수용해 ④번도 정답으로 인정합니다.", "Pi 모델은 사용자 승인 API 인증으로 실행합니다. Codex·Claude 구독 결과와 인증 경로가 다릅니다.", "Pi CLI 0.87.1, 도구·확장·자동 재시도·문맥 압축·이미지 자동 축소 비활성, 묶음당 출력 상한 65,536토큰입니다.", "Pi의 총 입력은 비캐시 입력·캐시 읽기·캐시 쓰기의 합이며 추론 토큰은 총 출력의 부분집합입니다. 제공자가 별도 추론 값을 주지 않으면 0은 미보고를 뜻할 수 있습니다.", "Pi high 추론 설정입니다. 모델별 내부 계산량이 동일하다는 뜻은 아닙니다.", "DeepSeek 비용은 피크 시간 요율의 참고값입니다. 비피크 요율은 50%이며, API 청구서와 다를 수 있습니다.", "영어 듣기 1~17번은 공식 대본 이미지로 평가합니다. 실제 음성 청취 성능이 아닙니다.", "전체 지표는 공통 문항을 한 번만 센 147개 고유 문항 기준입니다.", "전체 풀이 시간은 실제 경과 시간이며 병렬 묶음 시간 합계와 다릅니다.", "문항별 시간·사용량·시험별 비용은 묶음 값을 균등 배분한 추정치입니다.", "USD 비용은 API 요율 환산 참고값으로 실제 구독 청구액이나 API 결제액이 아닙니다.", "사용량 없는 실패 요청은 비용에서 제외될 수 있어 확인 가능한 사용량의 하한 추정입니다.", "원본 200 DPI 이미지, protocol에 기록한 추론 설정, 외부 도구·검색 비활성 조건입니다. Claude의 StructuredOutput은 외부 IO가 없는 SDK 출력 형식 캐리어만 허용합니다.", "공개된 전년도 시험의 학습 데이터 포함 가능성과 모델별 토크나이저·SDK·추론 차이를 배제하지 않습니다.", "Claude의 사고 토큰은 별도 보고되지 않습니다. 내부 정규화의 0은 사고 토큰이 없다는 뜻이 아니며 총 출력 토큰에 포함됩니다." ], "grading_policy": { "id": "2026-english-q37-dual-answer-v1", "effective_date": "2026-10-17", "question_id": "2026-english-english-q37", "official_answer": 5, "accepted_answers": [ 4, 5 ], "annotation": "공식 정답은 ⑤번입니다. 본 벤치마크는 문장 연결의 대안적 해석을 수용해 ④번도 정답으로 인정합니다.", "rationale": "④(C→A→B)는 (C)의 비경험적 접근을 (A)의 경험적 보완 필요성으로 연결하고, (B)의 신경과학 협력으로 구체화하는 해석입니다. ⑤(C→B→A)는 학제 간 역할과 협력에서 경험적 보완 필요성으로 종합하는 해석입니다. 두 해석을 수용하는 벤치마크 운영 정책이며, 공식 복수정답 인정이나 모델들의 합의에 따른 판정이 아닙니다." }, "official_summary": { "total_questions": 147, "correct": 108, "incorrect": 36, "abstained": 3, "errors": 0, "pending": 0, "score": 278, "max_score": 376, "accuracy": 73.46938775510205, "abstention_rate": 2.0408163265306123, "attempt_accuracy": 75, "wall_time_seconds": 2309.804, "solver_time_seconds": 3608.457000000001, "usage": { 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"2026-korean-language_media-q41", "number": 41, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 19, "status": "error", "answer": null, "explanation": "PI_ABORTED: request cancelled or timed out", "abstain_reason": null, "time_seconds": 213.9959090909091, "usage": { "input_tokens": 2990.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 5957.818181818182, "reasoning_output_tokens": 5495.818181818182 }, "estimated_cost_usd": 0.0034275454545454544, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q42", "number": 42, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 19, "status": "error", "answer": null, "explanation": "PI_ABORTED: request cancelled or timed out", "abstain_reason": null, "time_seconds": 213.9959090909091, "usage": { "input_tokens": 2990.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 5957.818181818182, "reasoning_output_tokens": 5495.818181818182 }, "estimated_cost_usd": 0.0034275454545454544, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q43", "number": 43, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "error", "answer": null, "explanation": "PI_ABORTED: request cancelled or timed out", "abstain_reason": null, "time_seconds": 213.9959090909091, "usage": { "input_tokens": 2990.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 5957.818181818182, "reasoning_output_tokens": 5495.818181818182 }, "estimated_cost_usd": 0.0034275454545454544, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q44", "number": 44, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 20, "status": "error", "answer": null, "explanation": "PI_ABORTED: request cancelled or timed out", "abstain_reason": null, "time_seconds": 213.9959090909091, "usage": { "input_tokens": 2990.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 5957.818181818182, "reasoning_output_tokens": 5495.818181818182 }, "estimated_cost_usd": 0.0034275454545454544, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q45", "number": 45, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 20, "status": "error", "answer": null, "explanation": "PI_ABORTED: request cancelled or timed out", "abstain_reason": null, "time_seconds": 213.9959090909091, "usage": { "input_tokens": 2990.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 5957.818181818182, "reasoning_output_tokens": 5495.818181818182 }, "estimated_cost_usd": 0.0034275454545454544, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q01", "number": 1, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "9^(1/4)×3^(-1/2)=3^(1/2)×3^(-1/2)=1이므로 ①.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q02", "number": 2, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "f'(x)=9x²+4이므로 f'(1)=13, 즉 ④.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q03", "number": 3, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "2Σa_k−(1+2+3+4)=0에서 2Σa_k=10, Σa_k=5이므로 ⑤.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q04", "number": 4, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "x=1에서 좌극한 3·1−2=1, 우값 1−3+a=a−2이므로 a−2=1, a=3 → ③.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q05", "number": 5, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "f'(x)=(2x²−x−2)+(x+2)(4x−1), f'(1)=(−1)+3·3=8 → ③.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q06", "number": 6, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "b=a³이고 b=a√3에서 a²=√3, a=3^(1/4), ab=3이므로 log₉3=1/2 → ②.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q07", "number": 7, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "∫₀²[(x²+3)−(−x²/5+3)]dx=∫₀²(6/5)x²dx=16/5 → ⑤.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q08", "number": 8, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "tanθ=−3이고 cos(π−θ)=−cosθ>0에서 cosθ<0, sinθ>0이므로 sinθ=3/√10=3√10/10 → ①.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "f'(c)=0에서 c=−3a(양수 a)이고 f(−3a)=27a³+4=5에서 a=1/3. f(2)=8+4−2+4=14 → ④.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "A=(t,2), C=(t,−2), B=(t,0)에서 AB=BC → aᵗ=4, 삼각형 AOC 넓이 2t=8 → t=4, a=2^(1/2). a×OB=2^(1/2)·2²=2^(5/2) → ③.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "ㄱ: ∫₀¹(t²+4)dt=13/3로 참. ㄴ: k=3이면 t²−3t+4>0으로 항상 양수, 방향 안 바뀜(거짓). ㄷ: k=5일 때 거리 11/6+7/6=3으로 참. 따라서 ㄱ,ㄷ → ③.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "incorrect", "answer": 3, "explanation": "a₁+a₄+a₇=3a₄=3, a₄+a₇+a₁₀=3a₇=6에서 a₄=1, a₇=2, 공차 1/3, a₁₀=3 → ③.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "l: y=−2x−4, m: y=−4x+10이고 교점 (7,−18). y축 위 두 점 (0,−4),(0,10) 사이 거리 14, 높이 7이므로 넓이 49 → ⑤.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "좌표 계산으로 삼각형 CEG의 변은 3, √6, 2√6이고 넓이 3√15/4, 외접원 반지름 R=4√15/5. 현길이 공식 GH=2R sin∠BAC=2R·(4/5)=32√15/25 → ④.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "h'(x)=g−f를 구하면 a≤4일 때만 극값이 하나(x=4)이므로 k=4. h(3)=∫₀¹(x−x²)+∫₁³(−x²+5x−4)=1/6+10/3=7/2, k+h(3)=15/2 → ④.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "a₂=1·1+1=2, a₃=4·2+1=9.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "F(x)=x⁴−x²+C, F(0)=4에서 C=4, F(2)=16−4+4=16.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "sin∠BAC=4/5이므로 넓이=(1/2)·5·6·(4/5)=12.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "f'(x)=6(x+2)(x−1), f(−2)=12, f(1)=−15, f(2)=−4이므로 치역 [−15,12]. −k≤f(x)≤k가 성립하려면 k≥15, 최솟값 15.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "correct", "answer": 130, "explanation": "(가)=n/3에서 2aₙ+aₙ₊₁=n, n=2 대입하면 (나) a₂=10. (다)=a₁+a₂+Σ(2k+1)=17+35=52. p×q/f(12)=10·52/4=130이므로 p+q=130.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "correct", "answer": 65, "explanation": "(가)에서 f(0)=f(2)=0이고 (나)의 음수 조건 집합 {2,3}={g(−1),−(7/2)g(1)}에서 f(x)=(3/14)x(x−2)(x−11/3), t=2를 얻는다. g(−5)=−f(−5)=65.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q22", "number": 22, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 457, "source_page": 8, "status": "correct", "answer": 457, "explanation": "a+u=77/4, b+v=133/4와 bv=au, 16^b=8a+2를 연립하면 b=7/4, a=63/4(검증: 16^(7/4)=128=8a+2, v=63/2, u=7/2에서 bv=au=441/8 성립). a×b=441/16이므로 p+q=457.", "abstain_reason": null, "time_seconds": 21.65081818181818, "usage": { "input_tokens": 2961, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1193.409090909091, "reasoning_output_tokens": 1082.0454545454545 }, "estimated_cost_usd": 0.0010408545454545454, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q23", "number": 23, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 9, "status": "correct", "answer": 3, "explanation": "중복을 허락하여 4개의 문자 중 3개를 택해 일렬로 나열하는 경우의 수는 4³=64.", "abstain_reason": null, "time_seconds": 48.22275, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2727, "reasoning_output_tokens": 2574.25 }, "estimated_cost_usd": 0.0019791, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q24", "number": 24, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "P(A∩B)=P(A)P(B|A)=2/5·1/4=1/10이고, P(B)=P(A∪B)−P(A)+P(A∩B)=1−2/5+1/10=7/10.", "abstain_reason": null, "time_seconds": 48.22275, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2727, "reasoning_output_tokens": 2574.25 }, "estimated_cost_usd": 0.0019791, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q25", "number": 25, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 10, "status": "correct", "answer": 2, "explanation": "전체 C(10,2)=45, 같은 색은 C(5,2)×2=20, 색이 다르면서 수가 같은 경우는 2,3,4,5의 4가지로 24/45=8/15.", "abstain_reason": null, "time_seconds": 48.22275, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2727, "reasoning_output_tokens": 2574.25 }, "estimated_cost_usd": 0.0019791, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q26", "number": 26, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "오차한계는 2.58×5/√36=2.15이므로 m̄=1.2+2.15=3.35, a=3.35+2.15=5.5.", "abstain_reason": null, "time_seconds": 48.22275, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2727, "reasoning_output_tokens": 2574.25 }, "estimated_cost_usd": 0.0019791, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q27", "number": 27, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 11, "status": "correct", "answer": 4, "explanation": "확률의 합에서 a=1/6, E(X)=5/2, E(X²)=15/2이므로 V(X)=5/4, V(X/a)=V(X)/a²=(5/4)×36=45.", "abstain_reason": null, "time_seconds": 48.22275, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2727, "reasoning_output_tokens": 2574.25 }, "estimated_cost_usd": 0.0019791, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q28", "number": 28, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 11, "status": "correct", "answer": 2, "explanation": "시행 유형별 공의 수는 홀수(1,3,5) 3개, k=2는 2개, k=4는 3개, k=6은 4개. 공의 총합이 홀수일 조건과 상자3=상자2+1(즉 a=b+c+1)을 만족하는 경우는 (a,b,c,d)=(1,0,0,3)과 (2,0,1,1)로 확률 1/108+1/12=5/54이고, 총합이 홀수일 확률은 Bin(4,2/3)로 40/81이므로 조건부확률은 (5/54)/(40/81)=3/16.", "abstain_reason": null, "time_seconds": 48.22275, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2727, "reasoning_output_tokens": 2574.25 }, "estimated_cost_usd": 0.0019791, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q29", "number": 29, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 977, "source_page": 12, "status": "correct", "answer": 977, "explanation": "기록이 3일 확률은 (a/6)(10/32)+((6−a)/6)(1/8)=(a+4)/32이고, 19200×(a+4)/32=600(a+4)=4800에서 a=4. 이때 p=1/4, V(X)=19200×(1/4)(3/4)=3600, σ=60이므로 z=(4920−4800)/60=2, P≈0.5+0.477=0.977, 따라서 1000k=977.", "abstain_reason": null, "time_seconds": 48.22275, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2727, "reasoning_output_tokens": 2574.25 }, "estimated_cost_usd": 0.0019791, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q30", "number": 30, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 262, "source_page": 12, "status": "correct", "answer": 262, "explanation": "공이 1개인 주머니가 6개면 2개인 주머니는 1개: 2×C(8,6)+8×C(7,6)=112. 공이 1개인 주머니가 4개면 2개인 주머니는 2개이고 각 2개 주머니의 이웃은 비어야 하는데, 2개 주머니 위치 (i,j)(j−i≥2)에 대해 빈칸 |Block(i)∪Block(j)|=4,5,6인 경우가 각각 3,18,15쌍이므로 3×15+18×5+15×1=150. 전체 112+150=262.", "abstain_reason": null, "time_seconds": 48.22275, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2727, "reasoning_output_tokens": 2574.25 }, "estimated_cost_usd": 0.0019791, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q23", "number": 23, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "tan6x/(2x) ~ 6x/(2x) = 3이므로 극한값은 3.", "abstain_reason": null, "time_seconds": 165.957, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4275.875, "reasoning_output_tokens": 4119.625 }, "estimated_cost_usd": 0.0027535375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q24", "number": 24, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 13, "status": "incorrect", "answer": 2, "explanation": "√(sinx−sin³x)=√sinx·cosx이므로 ∫₀^{π/2}√sinx cosx dx = [(2/3)sin^{3/2}x]₀^{π/2} = 2/3.", "abstain_reason": null, "time_seconds": 165.957, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4275.875, "reasoning_output_tokens": 4119.625 }, "estimated_cost_usd": 0.0027535375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q25", "number": 25, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 14, "status": "correct", "answer": 3, "explanation": "조임으로 aₙ/n → 5이므로 (aₙ+2)²/(naₙ+5n²−2)를 n²로 나누면 25/(5+5) = 5/2.", "abstain_reason": null, "time_seconds": 165.957, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4275.875, "reasoning_output_tokens": 4119.625 }, "estimated_cost_usd": 0.0027535375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q26", "number": 26, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "정삼각형 단면의 넓이는 (√3/4)x(1+lnx)이고, ∫₁²x(1+lnx)dx = 3/4+2ln2이므로 부피는 √3(3+8ln2)/16.", "abstain_reason": null, "time_seconds": 165.957, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4275.875, "reasoning_output_tokens": 4119.625 }, "estimated_cost_usd": 0.0027535375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q27", "number": 27, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "3x−y=5e^{4t}이므로 만나는 점은 t=1/4에서 P=(3e/2, −e/2). dx/dt=e(6+π), dy/dt=e(3π−2)이므로 기울기는 (3π−2)/(π+6).", "abstain_reason": null, "time_seconds": 165.957, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4275.875, "reasoning_output_tokens": 4119.625 }, "estimated_cost_usd": 0.0027535375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q28", "number": 28, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "f'(s)=s²/(1+s)이고 거리는 sf'(s)=s³/(1+s)=t이므로 t=1/2→s=1, t=27/4→s=3. ∫g(t)dt=∫st'(s)ds=∫₁³(2s²−s+s/(s+1)²)ds = 157/12+ln2.", "abstain_reason": null, "time_seconds": 165.957, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4275.875, "reasoning_output_tokens": 4119.625 }, "estimated_cost_usd": 0.0027535375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q29", "number": 29, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 97, "source_page": 16, "status": "correct", "answer": 97, "explanation": "aₙ=nA, bₙ이 등비이므로 (1/2A−1)²=(1/A−1)(1/3A−1)에서 A=1/4, 공비 1/3. Σ(bₙ−16/(n(n+1)))=3^{k+2}/2−16∈(0,30)에서 k=2. a₂·Σb_{2n}=(1/2)·(9/(1−1/9))=81/16, hence p+q=97.", "abstain_reason": null, "time_seconds": 165.957, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4275.875, "reasoning_output_tokens": 4119.625 }, "estimated_cost_usd": 0.0027535375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q30", "number": 30, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 11, "source_page": 16, "status": "correct", "answer": 11, "explanation": "증가성으로 f⁻¹(x)=x(5−x²)/2 (|x|≤1), e^{x−1}+1 (x>1), −e^{−x−1}−1 (x<−1). y=m(x−1)과의 교점 수는 y=f⁻¹(x)와 y=x/m+1의 교점 수와 같아 g(m)=1 (m≤0), 3 (0a) — 여기서 a는 a e^{2a}=1을 만족하므로 (ln a/a)²=4. 답은 g(0)·3+g(a)·4=1·3+2·4=11.", "abstain_reason": null, "time_seconds": 165.957, "usage": { "input_tokens": 4104, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 4275.875, "reasoning_output_tokens": 4119.625 }, "estimated_cost_usd": 0.0027535375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q23", "number": 23, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "a+b=(3,0)이므로 모든 성분의 합은 3+0=3이다.", "abstain_reason": null, "time_seconds": 178.93025, "usage": { "input_tokens": 4102.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3794, "reasoning_output_tokens": 3660 }, "estimated_cost_usd": 0.0025124124999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q24", "number": 24, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 17, "status": "incorrect", "answer": 3, "explanation": "y²=12(x−2)에서 4p=12, p=3이므로 초점은 (5,0), 준선은 x=−1. 꼭짓점 (2,0)과 초점 (5,0) 사이 거리는 3이다.", "abstain_reason": null, "time_seconds": 178.93025, "usage": { "input_tokens": 4102.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3794, "reasoning_output_tokens": 3660 }, "estimated_cost_usd": 0.0025124124999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q25", "number": 25, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 18, "status": "correct", "answer": 5, "explanation": "yz평면 대칭 B(−3,−3/2,−2), 원점 대칭 C(−3,3/2,2). BC=|(0,3,4)|=5이다.", "abstain_reason": null, "time_seconds": 178.93025, "usage": { "input_tokens": 4102.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3794, "reasoning_output_tokens": 3660 }, "estimated_cost_usd": 0.0025124124999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q26", "number": 26, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 18, "status": "correct", "answer": 2, "explanation": "y²−x²=a²의 초점은 (0,±√2a)이고 접선 √2y−x=a가 y축과 만나는 점은 P(0,a/√2). PF=a/√2, PF'=3a/√2이므로 3a²/2=8, a=4√3/3이다.", "abstain_reason": null, "time_seconds": 178.93025, "usage": { "input_tokens": 4102.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3794, "reasoning_output_tokens": 3660 }, "estimated_cost_usd": 0.0025124124999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q27", "number": 27, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "반지름 5/2인 원에서 AB=5는 지름이고 CD=3인 현의 중심까지 거리는 2이다. AD=BC 조건으로 A,B,C,D는 한 평면 위의 이등변 사다리꼴이 되고, [ABH]=(1/2)·5·2=5, [ABCD]=4√(4+h²)=20에서 h²=21, 높이는 √21이다.", "abstain_reason": null, "time_seconds": 178.93025, "usage": { "input_tokens": 4102.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3794, "reasoning_output_tokens": 3660 }, "estimated_cost_usd": 0.0025124124999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q28", "number": 28, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "조건에서 H는 CD의 중점이고 A(0,2,2√3), G(0,2,2√3/3)이며 평면 ACD: z=√3y에 대한 거리로 구 S의 반지름은 2√3/3. ∠APG=90°인 P의 자취는 반지름 1, 중심 (0,2,√3)인 원 T이고, 평면 ABC의 법선과 이루는 코사인이 1/4이므로 정사영 넓이는 π/4이다.", "abstain_reason": null, "time_seconds": 178.93025, "usage": { "input_tokens": 4102.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3794, "reasoning_output_tokens": 3660 }, "estimated_cost_usd": 0.0025124124999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q29", "number": 29, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 360, "source_page": 20, "status": "correct", "answer": 360, "explanation": "타원의 대칭성에서 BA+BH=2α이고 둘레 조건 AH+(BA+BH)=p+27, AH=x_A+p, F가 타원의 x절점이므로 α=(3p−x_A)/2에서 p=9. 넓이 조건 (x_A+9)y_A/2=30과 포물선 y_A²=36x_A에서 x_A=1, y_A=6. H(−9,6), F(9,0)이므로 HF²=18²+6²=360이다.", "abstain_reason": null, "time_seconds": 178.93025, "usage": { "input_tokens": 4102.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3794, "reasoning_output_tokens": 3660 }, "estimated_cost_usd": 0.0025124124999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q30", "number": 30, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 221, "source_page": 20, "status": "correct", "answer": 221, "explanation": "P에서 u=PA, v=PB, w=PQ라 하면 Q가 원 위이므로 u·w+v·w=|w|²이고, 조건식에서 |w|²+|v|²=2|w|², |PQ|²=196=|PB|². u=(0,2), v=(14,0)로 두면 w=(336/25,98/25)이고 QB=w−v=(−14/25,98/25). |u·QB|=196/25이므로 p+q=25+196=221이다.", "abstain_reason": null, "time_seconds": 178.93025, "usage": { "input_tokens": 4102.75, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3794, "reasoning_output_tokens": 3660 }, "estimated_cost_usd": 0.0025124124999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q01", "number": 1, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "Ryan가 수면에 도움을 주는 앱 'Nightly Journey'를 소개하며 사용을 권유하므로 '잠을 잘 자게 도와주는 앱을 소개하려고'가 목적이다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q02", "number": 2, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "Emily는 'indoor rock climbing helps improve problem-solving skills'라고 분명히 말하며 전략적 사고와 계획 조정이 문제 해결의 기본이라고 설명한다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q03", "number": 3, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "Mr. Flynn은 'Making a big pose can relieve your anxiety'라고 하며 큰 포즈가 불안을 완화한다고 말한다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q04", "number": 4, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "대화에서 언급된 기차, 하트 패턴 티셔츠 소년, 벤치, 꽃 모양 매트는 그림과 일치하지만, 테이블 주변 의자 개수(그림)가 '세 개의 의자'라는 대화 내용과 일치하지 않는다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q05", "number": 5, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 'I'll do that this afternoon'이라며 재료 배송 확인(재료 배송 확인하기)을 이번 오후에 할 일로 남겨두었다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q06", "number": 6, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "중형 히터 $70 + 가죽 슬리퍼 2켤레 $20 = $90이고 쿠폰은 사용 불가하므로 지불 금액은 $90이다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q07", "number": 7, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 'I have an early business meeting that overlaps with the tea club'라고 하여 비즈니스 미팅 때문에 참석할 수 없다고 한다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q08", "number": 8, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "장소(Pinenut Park), 날짜(11월 22일 토요일), 상품($100 기프트카드), 온라인 등록 방법은 언급되지만 후원 기관에 대한 내용은 없다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q09", "number": 9, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "프로그램은 'you must apply as a team, not as an individual'이라 하여 팀 단위 신청을 요구하므로 '개인별로 신청해야 한다'는 ④는 일치하지 않는다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q10", "number": 10, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "$10 이하, wood 손잡이 제외, 3개 이상의 나이프, 기프트 박스 불필요 조건을 모두 만족하는 세트는 D뿐이다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q11", "number": 11, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자가 딸을 맡아줄 수 있는지 물었으므로 'Of course. Just be careful while you're driving.'이 가장 적절한 응답이다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q12", "number": 12, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "직통 버스가 있는 곳을 고르겠다고 한 여자에게 남자가 Rosemary Amusement Park가 직통 버스가 있다고 말했으므로 'Terrific. Then, I'll choose that place.'가 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q13", "number": 13, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "의자 조립이 거의 끝났고 왼쪽 앞다리만 손상되었으므로 'Then, we'll send you a replacement part right away.'가 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q14", "number": 14, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "남자가 주말에 함께 식사를 준비하라고 권했으므로 'Good idea. I hope it gets my daughter to try different foods.'가 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q15", "number": 15, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "인터넷만으로는 폐쇄된 경로 등 정보를 얻을 수 없다고 생각한 Olivia는 'Let's visit every site in person on our bicycles for this project.'라고 제안하는 것이 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q16", "number": 16, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "강사는 빨리 자라서 과학 실험에 적합한 식물들(bamboo, lettuce, sunflowers, peas)을 소개하므로 주제는 'fast growing plants used for science experiments'이다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q17", "number": 17, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "대본에서 언급된 식물은 bamboo, lettuce, sunflowers, peas이고 corn은 언급되지 않았다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q18", "number": 18, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "Amanda는 새 동아리 제안서를 이번 주까지 제출하라고 권유하므로 '동아리 개설 제안서 제출을 독려하려고'가 목적이다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q19", "number": 19, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "Sophie는 길을 헤매며 혼란스러워하다가(unsure, uncertain) 익숙한 벽을 발견하고 집을 찾아 밝게 웃었다(pleased).", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q20", "number": 20, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "글은 현대 작사가들의 언어·문학에 대한 기여가 간과되어 왔으며 이를 인정해야 한다고 주장하므로 ②가 중심 생각이다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q21", "number": 21, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "디지털 플랫폼은 일과 특정 장소의 연결을 끊고 지리적으로 떨어진 곳에서도 업무가 가능하게 하므로 '사업 수행의 공간적 유연성을 높였다'가 의미와 가장 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q22", "number": 22, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "coopetition 개념 설명과 'careful balancing act may be required' 등에서 협력과 경쟁 사이의 균형 잡힌 접근이 요구됨을 알 수 있다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q23", "number": 23, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "글은 대중교통에서 속도보다 빈도(frequency)가 중요하며 빈도 없는 속도는 무가치하다고 주장하므로 ③이 주제이다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q24", "number": 24, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "글은 cultertainment의 경제적 이점과 상업화로 인한 정체성 상실 위험을 함께 다루므로 'Cash or Soul? When Culture Couples with Entertainment'가 가장 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q25", "number": 25, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "Less Often 범주에서 이메일(43%)이 가장 높고 전화(41%)가 두 번째이므로 '이메일이 두 번째로 높았다'는 ④는 그래프와 일치하지 않는다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q26", "number": 26, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "Kleiber는 1952년 Borden Award를, 그로부터 1년 뒤인 1953년 Morrison Award를 받았으므로 '1952년에 두 상을 모두 수상했다'는 ③은 일치하지 않는다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q27", "number": 27, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "학생 투표로 선정되는 종소리는 세 개이므로 '네 개의 학교 종소리가 선정될 것'이라는 ④는 안내문과 일치하지 않는다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q28", "number": 28, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "incorrect", "answer": 1, "explanation": "이용 가능 지점이 'All branches of Bowl Heaven'이므로 '일부 지점에서는 사용이 제한된다'는 ①은 일치하지 않는다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q29", "number": 29, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "incorrect", "answer": 5, "explanation": "'adaptive information that ( ) exceed the inventive capacities of individuals'에서 부사 greatly가 들어가야 문장이 완성된다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q30", "number": 30, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "선수들은 최대한 파울 등을 저지르려 하므로 경쟁 우위를 'gain'하려는 것이지 'abandon'(버리다)하는 것이 아니므로 ⑤가 어색하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q31", "number": 31, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "정보가 핵심이라 비밀리에 일했고 여러 시장의 정보 접근이 위험을 줄여주었다는 맥락에서 '수익성(profitability)'이 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q32", "number": 32, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "'in effect, we have to imagine both halves of a virtual conversation'에서 글쓴이는 자리에 없는 독자의 반응을 미리 헤아려야 한다고 말하므로 ⑤가 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q33", "number": 33, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "글은 사용자와 고객을 설계 과정에 참여시키는 것이 성공의 열쇠라고 하므로 'have been consulted in the design process'가 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q34", "number": 34, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "사람들이 어차피 합리적으로 선택하지 않을 일을 금지하는 법은 그들의 자유에 대한 제약으로 이해될 수 없다는 취지이므로 ③이 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q35", "number": 35, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "incorrect", "answer": 2, "explanation": "'No matter how much we plan, we all occasionally have days when that happens.'은 주어-동사 수 일치, 시제, 병렬 구조 등 문법상 문제가 없는 문장이다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q36", "number": 36, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "도입 후 (C)가 시계를 반복 과정으로 일반화하고, (A)의 'Indeed'가 이를 뒷받침하며, (B)의 'another'가 방사성 탄소 연대측정을 추가 예로 제시하므로 (C)-(A)-(B)가 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q37", "number": 37, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 4, "explanation": "(C)가 철학의 학제간 역할과 비경험적 접근을 소개하고, (A)의 'This means'가 이를 받아 경험적 보완 필요성을 말하며, (B)가 신경과학과의 협력을 결론으로 제시하므로 (C)-(A)-(B)가 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement", "official_status": "incorrect", "accepted_answers": [ 4, 5 ], "benchmark_adjusted": true }, { "id": "2026-english-english-q38", "number": 38, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 5, "explanation": "주어진 문장은 내러티브가 정체성에 깊이 뿌리내린다는 내용으로, ⑤의 정치 이념 즉 'who you are as an individual' 예시 앞에 오는 것이 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q39", "number": 39, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 7, "status": "incorrect", "answer": 1, "explanation": "게임 세계의 현실이 플레이어의 외부 현실과 분리되어 있음을 말한 직후 'The difference is that...'로 차이를 설명하고 아바타의 신체 공간에 대한 설명이 이어지는 ①이 자연스럽다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q40", "number": 40, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "외부 자금 의존으로 재정적 어려움(financial challenges)에 처한 공연예술이 독특한 체험을 제공하며 그것을 중시하는 관객을 확보(secure)한다는 요지에 ③이 가장 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q41", "number": 41, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 8, "status": "correct", "answer": 2, "explanation": "복식의 실물 유물이 단절되어 있어 회화·사진 등 시각적 자료가 복식사의 공백을 메운다는 내용이므로 ②가 제목으로 가장 적절하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q42", "number": 42, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "예술 속 정보가 없으면 전시가 원 제작자의 의도를 어색하게 모방한 것이 되기 쉬우므로 'it is unlikely'는 문맥상 'likely'가 되어야 하므로 (e)가 어색하다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q43", "number": 43, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "사건 순서는 (A)독서 모임 제안 → (D)Mia 설득되어 첫 책 선택 요청 → (C)도서관에서 책 대출 → (B)첫 독서 모임이므로 (D)-(C)-(B)이다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q44", "number": 44, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 8, "status": "correct", "answer": 3, "explanation": "(a),(b),(d),(e)의 대명사는 모두 Mia를 가리키지만 (c)의 'her'는 사서를 가리키므로 (c)가 다르다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q45", "number": 45, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "Mia는 독서 모임 제안에 처음에 'No, Dad. I don't have time to read books.'라며 거절했으므로 '처음부터 환영했다'는 ⑤는 내용과 일치하지 않는다.", "abstain_reason": null, "time_seconds": 8.777288888888888, "usage": { "input_tokens": 3382.777777777778, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 369.55555555555554, "reasoning_output_tokens": 282.73333333333335 }, "estimated_cost_usd": 0.0006921944444444444, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" } ], "sources": [ { "subject": "korean", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093801&lev=0&m=0403&s=suneung" }, { "subject": "math", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093800&lev=0&m=0403&s=suneung" }, { "subject": "english", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093799&lev=0&m=0403&s=suneung" } ], "completed": false, "protocol": { "model": "glm-5.3-flash", "provider": "zai", "effort": "high", "sdk_version": "Pi CLI 0.87.1", "tools": "disabled", "input": "original PDF rendered at 200 DPI", "english_listening": "official transcript rendered as images", "max_iterations": 3, "group_timeout_seconds": 900, "concurrency": 2, "cost_limit_usd": 25, "subscription_only": false, "api_key_fallback": false, "agent": "Pi", "api_model": "glm-5.3-flash", "api_base_url": "https://api.z.ai/api/paas/v4", "max_output_tokens": 65536, "effort_semantics": "high", "output_format": "prompted JSON; no tools", "image_resize": false, "route_hash": "65a9e9a633af189e7d2af6f6aa91fff79dcea94b27c2cde697f532497dae120a" }, "protocol_history": [], "billing": { "method": "pi_api", "api_key_used": true, "subscription_only": false, "user_authorized": true, "api_model": "glm-5.3-flash", "api_endpoint": "https://api.z.ai/api/paas/v4", "reference_cost_is_invoice": false }, "usage_complete": false, "limitations": [ "공식 정답은 ⑤번입니다. 본 벤치마크는 문장 연결의 대안적 해석을 수용해 ④번도 정답으로 인정합니다.", "Pi 모델은 사용자 승인 API 인증으로 실행합니다. Codex·Claude 구독 결과와 인증 경로가 다릅니다.", "Pi CLI 0.87.1, 도구·확장·자동 재시도·문맥 압축·이미지 자동 축소 비활성, 묶음당 출력 상한 65,536토큰입니다.", "Pi의 총 입력은 비캐시 입력·캐시 읽기·캐시 쓰기의 합이며 추론 토큰은 총 출력의 부분집합입니다. 제공자가 별도 추론 값을 주지 않으면 0은 미보고를 뜻할 수 있습니다.", "Pi high 추론 설정입니다. 모델별 내부 계산량이 동일하다는 뜻은 아닙니다.", "영어 듣기 1~17번은 공식 대본 이미지로 평가합니다. 실제 음성 청취 성능이 아닙니다.", "전체 지표는 공통 문항을 한 번만 센 147개 고유 문항 기준입니다.", "전체 풀이 시간은 실제 경과 시간이며 병렬 묶음 시간 합계와 다릅니다.", "문항별 시간·사용량·시험별 비용은 묶음 값을 균등 배분한 추정치입니다.", "USD 비용은 API 요율 환산 참고값으로 실제 구독 청구액이나 API 결제액이 아닙니다.", "사용량 없는 실패 요청은 비용에서 제외될 수 있어 확인 가능한 사용량의 하한 추정입니다.", "원본 200 DPI 이미지, protocol에 기록한 추론 설정, 외부 도구·검색 비활성 조건입니다. Claude의 StructuredOutput은 외부 IO가 없는 SDK 출력 형식 캐리어만 허용합니다.", "공개된 전년도 시험의 학습 데이터 포함 가능성과 모델별 토크나이저·SDK·추론 차이를 배제하지 않습니다.", "Claude의 사고 토큰은 별도 보고되지 않습니다. 내부 정규화의 0은 사고 토큰이 없다는 뜻이 아니며 총 출력 토큰에 포함됩니다." ], "grading_policy": { "id": "2026-english-q37-dual-answer-v1", "effective_date": "2026-10-17", "question_id": "2026-english-english-q37", "official_answer": 5, "accepted_answers": [ 4, 5 ], "annotation": "공식 정답은 ⑤번입니다. 본 벤치마크는 문장 연결의 대안적 해석을 수용해 ④번도 정답으로 인정합니다.", "rationale": "④(C→A→B)는 (C)의 비경험적 접근을 (A)의 경험적 보완 필요성으로 연결하고, (B)의 신경과학 협력으로 구체화하는 해석입니다. ⑤(C→B→A)는 학제 간 역할과 협력에서 경험적 보완 필요성으로 종합하는 해석입니다. 두 해석을 수용하는 벤치마크 운영 정책이며, 공식 복수정답 인정이나 모델들의 합의에 따른 판정이 아닙니다." }, "official_summary": { "total_questions": 147, "correct": 83, "incorrect": 8, "abstained": 0, "errors": 56, "pending": 0, "score": 230, "max_score": 376, "accuracy": 56.4625850340136, "abstention_rate": 0, "attempt_accuracy": 91.20879120879121, "wall_time_seconds": 7385.717, "solver_time_seconds": 11702.338, "usage": { "input_tokens": 446139, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 260332, "reasoning_output_tokens": 241528 }, "estimated_cost_usd": 0.19708685 } }, { "schema_version": 2, "generated_at": "2026-10-16T22:28:53.894Z", "run_id": "2026-pre-exam-claude-qwen3.8-27b", "model": "qwen3.8-27b", "engine": "Pi CLI 0.87.1 / Ralph loop", "academic_year": 2026, "execution_stats": { "refusal_count": 8, "timeout_count": 2, "retry_count": 16 }, "execution_stats_evidence": [], "phase": "pre_exam", "pricing": { "input_per_million": 0.5, "cached_input_per_million": 0.1, "cache_write_per_million": 0.625, "output_per_million": 3, "currency": "USD", "as_of": "2026-10-12", "basis": "Singapore international API reference rates; implicit cached input; not an invoice", "source": "https://www.alibabacloud.com/help/en/model-studio/qwen3-8-27b" }, "summary": { "total_questions": 147, "correct": 116, "incorrect": 10, "abstained": 5, "errors": 16, "pending": 0, "score": 305, "max_score": 376, "accuracy": 78.91156462585033, "abstention_rate": 3.4013605442176873, "attempt_accuracy": 92.06349206349206, "wall_time_seconds": 6985.481, "solver_time_seconds": 10209.219, "usage": { "input_tokens": 238702, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 252760, "reasoning_output_tokens": 240931 }, "estimated_cost_usd": 0.877631, "adjusted_correct": 0 }, "exams": [ { "id": "2026-korean-hwajak", "title": "2026학년도 국어 · 화법과 작문", "subject": "korean", "track": "hwajak", "question_ids": [ "2026-korean-common-q01", "2026-korean-common-q02", "2026-korean-common-q03", "2026-korean-common-q04", "2026-korean-common-q05", "2026-korean-common-q06", "2026-korean-common-q07", "2026-korean-common-q08", "2026-korean-common-q09", "2026-korean-common-q10", "2026-korean-common-q11", "2026-korean-common-q12", "2026-korean-common-q13", "2026-korean-common-q14", "2026-korean-common-q15", "2026-korean-common-q16", "2026-korean-common-q17", "2026-korean-common-q18", "2026-korean-common-q19", "2026-korean-common-q20", "2026-korean-common-q21", "2026-korean-common-q22", "2026-korean-common-q23", "2026-korean-common-q24", "2026-korean-common-q25", "2026-korean-common-q26", "2026-korean-common-q27", "2026-korean-common-q28", "2026-korean-common-q29", "2026-korean-common-q30", "2026-korean-common-q31", "2026-korean-common-q32", "2026-korean-common-q33", "2026-korean-common-q34", "2026-korean-hwajak-q35", "2026-korean-hwajak-q36", "2026-korean-hwajak-q37", "2026-korean-hwajak-q38", "2026-korean-hwajak-q39", "2026-korean-hwajak-q40", "2026-korean-hwajak-q41", "2026-korean-hwajak-q42", "2026-korean-hwajak-q43", "2026-korean-hwajak-q44", "2026-korean-hwajak-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 20, "incorrect": 5, "abstained": 4, "errors": 16, "pending": 0, "score": 44, "max_score": 100, "accuracy": 44.44444444444444, "abstention_rate": 8.88888888888889, "attempt_accuracy": 80, 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"question_ids": [ "2026-korean-common-q01", "2026-korean-common-q02", "2026-korean-common-q03", "2026-korean-common-q04", "2026-korean-common-q05", "2026-korean-common-q06", "2026-korean-common-q07", "2026-korean-common-q08", "2026-korean-common-q09", "2026-korean-common-q10", "2026-korean-common-q11", "2026-korean-common-q12", "2026-korean-common-q13", "2026-korean-common-q14", "2026-korean-common-q15", "2026-korean-common-q16", "2026-korean-common-q17", "2026-korean-common-q18", "2026-korean-common-q19", "2026-korean-common-q20", "2026-korean-common-q21", "2026-korean-common-q22", "2026-korean-common-q23", "2026-korean-common-q24", "2026-korean-common-q25", "2026-korean-common-q26", "2026-korean-common-q27", "2026-korean-common-q28", "2026-korean-common-q29", "2026-korean-common-q30", "2026-korean-common-q31", "2026-korean-common-q32", "2026-korean-common-q33", "2026-korean-common-q34", "2026-korean-language_media-q35", "2026-korean-language_media-q36", "2026-korean-language_media-q37", "2026-korean-language_media-q38", "2026-korean-language_media-q39", "2026-korean-language_media-q40", "2026-korean-language_media-q41", "2026-korean-language_media-q42", "2026-korean-language_media-q43", "2026-korean-language_media-q44", "2026-korean-language_media-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 18, "incorrect": 7, "abstained": 4, "errors": 16, "pending": 0, "score": 40, "max_score": 100, "accuracy": 40, "abstention_rate": 8.88888888888889, "attempt_accuracy": 72, "wall_time_seconds": 7464.770999999996, "solver_time_seconds": 7464.770999999996, "usage": { "input_tokens": 106025.99999999999, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 103599.99999999991, "reasoning_output_tokens": 100363.99999999997 }, "estimated_cost_usd": 0.36381299999999994, "adjusted_correct": 0 }, "official_summary": { "total_questions": 45, "correct": 18, "incorrect": 7, "abstained": 4, "errors": 16, "pending": 0, "score": 40, "max_score": 100, "accuracy": 40, "abstention_rate": 8.88888888888889, "attempt_accuracy": 72, "wall_time_seconds": 7464.770999999996, "solver_time_seconds": 7464.770999999996, "usage": { "input_tokens": 106025.99999999999, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 103599.99999999991, "reasoning_output_tokens": 100363.99999999997 }, "estimated_cost_usd": 0.36381299999999994 } }, { "id": "2026-math-probability", "title": "2026학년도 수학 · 확률과 통계", "subject": "math", "track": "probability", "question_ids": [ "2026-math-common-q01", "2026-math-common-q02", "2026-math-common-q03", "2026-math-common-q04", "2026-math-common-q05", "2026-math-common-q06", "2026-math-common-q07", "2026-math-common-q08", "2026-math-common-q09", "2026-math-common-q10", "2026-math-common-q11", "2026-math-common-q12", "2026-math-common-q13", "2026-math-common-q14", "2026-math-common-q15", "2026-math-common-q16", "2026-math-common-q17", "2026-math-common-q18", "2026-math-common-q19", "2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-probability-q23", "2026-math-probability-q24", "2026-math-probability-q25", "2026-math-probability-q26", "2026-math-probability-q27", "2026-math-probability-q28", "2026-math-probability-q29", "2026-math-probability-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 29, "incorrect": 0, "abstained": 1, "errors": 0, "pending": 0, "score": 96, "max_score": 100, "accuracy": 96.66666666666667, "abstention_rate": 3.3333333333333335, "attempt_accuracy": 100, "wall_time_seconds": 874.1889999999997, "solver_time_seconds": 874.1889999999997, "usage": { "input_tokens": 32945.99999999999, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 44733, "reasoning_output_tokens": 42123 }, "estimated_cost_usd": 0.150672, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 29, "incorrect": 0, "abstained": 1, "errors": 0, "pending": 0, "score": 96, "max_score": 100, "accuracy": 96.66666666666667, "abstention_rate": 3.3333333333333335, "attempt_accuracy": 100, "wall_time_seconds": 874.1889999999997, "solver_time_seconds": 874.1889999999997, "usage": { "input_tokens": 32945.99999999999, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 44733, "reasoning_output_tokens": 42123 }, "estimated_cost_usd": 0.150672 } }, { "id": "2026-math-calculus", "title": "2026학년도 수학 · 미적분", "subject": "math", "track": "calculus", "question_ids": [ "2026-math-common-q01", "2026-math-common-q02", "2026-math-common-q03", "2026-math-common-q04", "2026-math-common-q05", "2026-math-common-q06", "2026-math-common-q07", "2026-math-common-q08", "2026-math-common-q09", "2026-math-common-q10", "2026-math-common-q11", "2026-math-common-q12", "2026-math-common-q13", "2026-math-common-q14", "2026-math-common-q15", "2026-math-common-q16", "2026-math-common-q17", "2026-math-common-q18", "2026-math-common-q19", "2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-calculus-q23", "2026-math-calculus-q24", "2026-math-calculus-q25", "2026-math-calculus-q26", "2026-math-calculus-q27", "2026-math-calculus-q28", "2026-math-calculus-q29", "2026-math-calculus-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 29, "incorrect": 0, "abstained": 1, "errors": 0, "pending": 0, "score": 96, "max_score": 100, "accuracy": 96.66666666666667, "abstention_rate": 3.3333333333333335, "attempt_accuracy": 100, "wall_time_seconds": 907.4600000000004, "solver_time_seconds": 907.4600000000004, "usage": { "input_tokens": 32946.99999999999, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 47802, "reasoning_output_tokens": 45307 }, "estimated_cost_usd": 0.15987950000000004, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 29, "incorrect": 0, "abstained": 1, "errors": 0, "pending": 0, "score": 96, "max_score": 100, "accuracy": 96.66666666666667, "abstention_rate": 3.3333333333333335, "attempt_accuracy": 100, "wall_time_seconds": 907.4600000000004, "solver_time_seconds": 907.4600000000004, "usage": { "input_tokens": 32946.99999999999, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 47802, "reasoning_output_tokens": 45307 }, "estimated_cost_usd": 0.15987950000000004 } }, { "id": "2026-math-geometry", "title": "2026학년도 수학 · 기하", "subject": "math", "track": "geometry", "question_ids": [ "2026-math-common-q01", "2026-math-common-q02", "2026-math-common-q03", "2026-math-common-q04", "2026-math-common-q05", "2026-math-common-q06", "2026-math-common-q07", "2026-math-common-q08", "2026-math-common-q09", "2026-math-common-q10", "2026-math-common-q11", "2026-math-common-q12", "2026-math-common-q13", "2026-math-common-q14", "2026-math-common-q15", "2026-math-common-q16", "2026-math-common-q17", "2026-math-common-q18", "2026-math-common-q19", "2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-geometry-q23", "2026-math-geometry-q24", "2026-math-geometry-q25", "2026-math-geometry-q26", "2026-math-geometry-q27", "2026-math-geometry-q28", "2026-math-geometry-q29", "2026-math-geometry-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 29, "incorrect": 0, "abstained": 1, "errors": 0, "pending": 0, "score": 96, "max_score": 100, "accuracy": 96.66666666666667, "abstention_rate": 3.3333333333333335, "attempt_accuracy": 100, "wall_time_seconds": 1105.141, "solver_time_seconds": 1105.141, "usage": { "input_tokens": 32938.99999999999, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 57508, "reasoning_output_tokens": 54923 }, "estimated_cost_usd": 0.18899350000000006, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 29, "incorrect": 0, "abstained": 1, "errors": 0, "pending": 0, "score": 96, "max_score": 100, "accuracy": 96.66666666666667, "abstention_rate": 3.3333333333333335, "attempt_accuracy": 100, "wall_time_seconds": 1105.141, "solver_time_seconds": 1105.141, "usage": { "input_tokens": 32938.99999999999, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 57508, "reasoning_output_tokens": 54923 }, "estimated_cost_usd": 0.18899350000000006 } }, { "id": "2026-english-english", "title": "2026학년도 영어", "subject": "english", "track": "english", "question_ids": [ "2026-english-english-q01", "2026-english-english-q02", "2026-english-english-q03", "2026-english-english-q04", "2026-english-english-q05", "2026-english-english-q06", "2026-english-english-q07", "2026-english-english-q08", "2026-english-english-q09", "2026-english-english-q10", "2026-english-english-q11", "2026-english-english-q12", "2026-english-english-q13", "2026-english-english-q14", "2026-english-english-q15", "2026-english-english-q16", "2026-english-english-q17", "2026-english-english-q18", "2026-english-english-q19", "2026-english-english-q20", "2026-english-english-q21", "2026-english-english-q22", "2026-english-english-q23", "2026-english-english-q24", "2026-english-english-q25", "2026-english-english-q26", "2026-english-english-q27", "2026-english-english-q28", "2026-english-english-q29", "2026-english-english-q30", "2026-english-english-q31", "2026-english-english-q32", "2026-english-english-q33", "2026-english-english-q34", "2026-english-english-q35", "2026-english-english-q36", "2026-english-english-q37", "2026-english-english-q38", "2026-english-english-q39", "2026-english-english-q40", "2026-english-english-q41", "2026-english-english-q42", "2026-english-english-q43", "2026-english-english-q44", "2026-english-english-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 44, "incorrect": 1, "abstained": 0, "errors": 0, "pending": 0, "score": 98, "max_score": 100, "accuracy": 97.77777777777777, "abstention_rate": 0, "attempt_accuracy": 97.77777777777777, "wall_time_seconds": 208.21800000000016, "solver_time_seconds": 208.21800000000016, "usage": { "input_tokens": 66203.99999999996, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 17163.999999999993, "reasoning_output_tokens": 13906.99999999999 }, "estimated_cost_usd": 0.08459399999999993, "adjusted_correct": 0 }, "official_summary": { "total_questions": 45, "correct": 44, "incorrect": 1, "abstained": 0, "errors": 0, "pending": 0, "score": 98, "max_score": 100, "accuracy": 97.77777777777777, "abstention_rate": 0, "attempt_accuracy": 97.77777777777777, "wall_time_seconds": 208.21800000000016, "solver_time_seconds": 208.21800000000016, "usage": { "input_tokens": 66203.99999999996, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 17163.999999999993, "reasoning_output_tokens": 13906.99999999999 }, "estimated_cost_usd": 0.08459399999999993 } } ], "questions": [ { "id": "2026-korean-common-q01", "number": 1, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "incorrect", "answer": 4, "explanation": "문단 마지막에서 단순 관점의 의의는 독해 연구의 '이론적 토대'를 제공한 것이지 '한계'를 마련한 것이 아니다. ④는 이 결론을 한계로 바꿔 서술하여 일치하지 않는다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q02", "number": 2, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "글에서 단순 관점은 단어를 인식하고 의미를 이해하기까지 독자의 머릿속에서 일어나는 과정을 설명하지 못한다고 밝혔다. ⑤가 이 한계를 가장 적절히 비판한다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q03", "number": 3, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "보기에서 학생 B는 글을 읽을 때 중심 내용을 파악하지 못했고 말로 들을 때만 파악했다. ④는 B의 이해를 글 읽기 경험에서 온 것으로 잘못 파악하고 있다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q04", "number": 4, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "(가)는 문리·체제적·역사적 해석 등 법조문 의미 해석 방법을 제시하고, (나)는 보증 계약에 관한 규범의 주요 내용을 나열하고 있다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q05", "number": 5, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "(가)의 유상 계약 맥락에서는 하자에 따른 담보 책임(손해배상·계약 파기)을 다루지, 교환 대상의 일치 여부에 따라 계약이 체결된다는 내용은 없다. ④는 (가)로 알 수 없다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q06", "number": 6, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "보증 계약의 당사자는 채권자와 보증인이고, 대가는 주채무자가 별도로 지급한다. 즉 대가를 줄 의무자가 보증 계약의 당사자가 아니므로 보증 계약은 유상 계약이 아니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q07", "number": 7, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "연대보증 특약은 채권자가 주체무자에게 먼저 청구할 의무를 면제할 뿐 보증의 부수성(주체 채권이 실현되면 보증 채무도 소멸)은 유지된다. 따라서 ⑤가 적절하고, ①②③는 특약의 성질과 '보증인 보호를 위한 특별법' 제2조의 문리 해석 적용 대상과 어긋난다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q08", "number": 8, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "연대 보증 특약이 없는 보증인은 주체무자가 강제집행 대상 재산을 보유하고 있음을 증명하면 보증 채무 이행을 거절할 수 있는 권리가 있다. hence ③의 '거절할 수 없다'는 적절하지 않다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q09", "number": 9, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "abstained", "answer": null, "explanation": "선택지의 ㉠~㉤가 들어갈 원문이 제공된 페이지 어디에도 확인되지 않아(법해석·보증 글의 밑줄·괄호 번호와 선택지 동사들이 대응하지 못함) 풀이가 불가능하다.", "abstain_reason": "unreadable", "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q10", "number": 10, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 4, "status": "correct", "answer": 5, "explanation": "선형 열팽창 계수는 (길이 변화량/처음 길이)를 온도 변화량으로 나눈 값이고, 액추에이터의 반응 완료 시간은 틸 두께가 얇을수록 짧다. hence 두께가 얇을수록 휘가 빨리 완료된다는 ⑤가 일치한다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q11", "number": 11, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "가열할 때 선형 열팽창 계수가 큰 쪽이 더 팽창하려 해 외측이 되어 계수가 작은 쪽으로 휘므로, 냉각할 때는 계수가 큰 쪽으로 휘어야 한다. hence '내리면 계수가 작은 쪽으로 휘어진다'는 ③이 적절하지 않다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q12", "number": 12, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "외부에 가할 힘이 소멸되는 시점은 틸 끝이 최대 이동 거리(자유 휨)에 도달한 시점으로, 온도 변화량이 클수록 자유 휨 곡률이 커진다. hence T₂로 올린 때가 T₁로 올린 때보다 a, b 모두 그 시점의 곡률이 더 큰 ①이 적절하다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q13", "number": 13, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 4, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q14", "number": 14, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 5, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q15", "number": 15, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q16", "number": 16, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q17", "number": 17, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q18", "number": 18, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 7, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q19", "number": 19, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 7, "status": "abstained", "answer": null, "explanation": "원문의 표기가 심하게 깨져 ①·⑤가 가리키는 구절(‘반기 들고’, ‘수궁 퇴락하여’)과 선택지의 ‘공간’ 서술을 일관되게 대조하기 어렵다. 확정하지 못해 기권한다.", "abstain_reason": "uncertain", "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q20", "number": 20, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "③(자라의 깜짝 놀라)과 ④(호랑이의 ‘이 산중 지키는’ 인식)은 서로 다른 주제가 상대의言行으로 생긴 위기 상황에서 보인 반응이다. 나머지 선택지는 주체 일치·반응의 성격과 맞지 않는다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q21", "number": 21, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 7, "status": "incorrect", "answer": 4, "explanation": "‘선영’을 언급하며 자손의 도리를 내세우는 대목은 자라(벌나리)의 ‘비나이다’ 부분이지 호랑이가 아니다. ④는 이를 호랑이의 언급으로 잘못 특정하므로 적절하지 않다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q22", "number": 22, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "abstained", "answer": null, "explanation": "‘연직적·가경적·특속적’ 등 표현 방식에 관한 문학적 용어가 원문에서 깨져 있어, (가)(나)(다)의 표현 수법을 선택지별로 판단하기 불확실하다. 기권한다.", "abstain_reason": "uncertain", "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q23", "number": 23, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "incorrect", "answer": 5, "explanation": "<보기>에 따라 (가)는 어둠 속 빛·회복의 희망을, (나)는 밝은 열매를 통한 현재에 대한 성찰을 그리므로, ⑤의 ‘밤이 나타날 것이라는 인식’은 두 시의 지향과 반대된다. 따라서 ⑤가 적절하지 않다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q24", "number": 24, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "abstained", "answer": null, "explanation": "(가)의 ①(찾는 목소리)과 (다)의 ⑤(소리)에 걸친 의미와 선택지 서술을 깨진 원문으로 대조해 오류를 확정하기 어렵다. 기권한다.", "abstain_reason": "uncertain", "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q25", "number": 25, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q26", "number": 26, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 9, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q27", "number": 27, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q28", "number": 28, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q29", "number": 29, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 11, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q30", "number": 30, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 11, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q31", "number": 31, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 12, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q32", "number": 32, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 12, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q33", "number": 33, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 12, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q34", "number": 34, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 12, "status": "error", "answer": null, "explanation": "제공자 출력 검사 차단 반복. 제한된 실행은 종료됐으며 모델 기권과 구분한 실행 오류입니다.", "abstain_reason": null, "time_seconds": 157.38120588235293, "usage": { "input_tokens": 2788.3823529411766, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2097.3823529411766, "reasoning_output_tokens": 2039.1176470588234 }, "estimated_cost_usd": 0.0076863382352941175, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q35", "number": 35, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 13, "status": "correct", "answer": 2, "explanation": "발표자는 핵심 용어 개념 설명, 공유 경험 상기, 청중 질문·답변, 마무리에서 바라는 바 언급은 하지만 전문가의 견해를 인용해 내용을 뒷받침한 곳은 없다(산림청 지정은 공식 목록 활용이지 전문가 견해 인용이 아님).", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q36", "number": 36, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 13, "status": "correct", "answer": 5, "explanation": "자료3은 국내 풍열지에서 발견된 212종 북방계 식물 중 일부를 목록화하고 산림청 지정 희귀 식물 여부를 표시한 것으로, ③의 설명과 정확히 일치한다. 자료1은 단일 사진이라 단계별 과정이 아니고, 자료2는 풍열지 대 전국 전체 비교이다.", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q37", "number": 37, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "학생3은 자기 지역 보고서에 발표 내용이 도움이 될 것이라 하여 정보를 유용성 측면에서 평가하고 있다. 학생1은 해발 고도를 오독했으나 학생2는 월귤 서식지 사실을 정확히 이해했으므로 ④는 틀리고, ①②⑤도 각 학생 반응과 맞지 않는다.", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q38", "number": 38, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 14, "status": "incorrect", "answer": 3, "explanation": "(가)의 진행자는 두 전문가에게 발언을 요청하되 발언 순서를 정하지 않으므로, (나)와 달리 순서를 정한다는 설명은 적절하지 않다. 나머지(발언 요청, 두 명의 입장 대표, 청자 설정, 정·부 관점 공존)는 양상 차이를 적절히 설명한다.", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q39", "number": 39, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "②에서 학생2는 '방송에서 다루는 것을 보고' 체감했다고 하여 방송을 통해 알게 된 것이지 상대 발언을 통해 알게 된 것이 아니다. ①③⑤는 각 번호의 화행과 일치한다.", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q40", "number": 40, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "(가)에서 전문가2가 말한 추가 수익 창출 기회를 학생3이 언급하며 경제적 안정 의견을 밝힌 것이, (다)에서 부정적 관점을 반박하는 문단(창작자 경제적 안정·추가 수익)으로 반영되었다.", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q41", "number": 41, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "(다)는 영상 제작·영상 산업 측면과 웹툰 창작·웹툰 산업 측면으로 나누어 현상의 영향을 산업별로 구분 서술하고 있다.", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q42", "number": 42, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "정본 4문단에는 '영상업계의 노력'에 대한 새 내용이 추가되지 않았다(창의적 작석을 위한 노력은 초고에 이미 있음). 흥행 실패 문장 삭제, 의의 문장 위치 변경, 입장 제시, 향후 위상 추가는 모두 실제로 반영되었다.", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q43", "number": 43, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 16, "status": "correct", "answer": 3, "explanation": "[A]는 정신적 어려움(불안), 완화 태도(자기 수용), 긍정적 변화(심리적 안정)를 모두 포함해야 하는데 ③만 세 요소를 갖추며 결론으로 적절하다.", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q44", "number": 44, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 16, "status": "correct", "answer": 2, "explanation": "초고는 개념, 일반 특성으로 시작, 고자 특성, 청소년기 이유를 다루지만 해당 성향의 '장점'은 다루지 않으므로 장단점 설명은 반영된 계획이 아니다.", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q45", "number": 45, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 16, "status": "incorrect", "answer": 1, "explanation": "ㄱ-1의 '추구 행동' 선은 일반적 추구 행동을 보여주어 '사회적 지지 추구 행동'이 많을수록 불안이 낮아진다는 구체적 주장을 직접 뒷받침하지 못한다. ㄴ·ㄷ·-2의 활용과 ㄱ-1 회피 선의 2문단 활용(동일 용어)은 적절하다.", "abstain_reason": null, "time_seconds": 71.004, "usage": { "input_tokens": 1021.4545454545455, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3659.3636363636365, "reasoning_output_tokens": 3553.3636363636365 }, "estimated_cost_usd": 0.011488818181818183, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q35", "number": 35, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "글에 따르면 24자모는 각각 하나의 소리를 나타내는 것이 일반적이고, 두 소리(이중 모음)의 연속을 나타내는 것은 모음자 쪽이다. 따라서 '24자 중 자음자에는 두 소리의 연속을 나타내는 것이 있다'는 ③은 적절하지 않다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q36", "number": 36, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 17, "status": "incorrect", "answer": 1, "explanation": "①의 15세기 국어와 현대 국어는 형식과 내용이 모두 달라졌는데(예: ㄱ→ㄲ), ①은 형식도 같고 내용도 같다고 했으므로 <자료>를 타당하게 추리한 것이 아니다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q37", "number": 37, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 17, "status": "incorrect", "answer": 1, "explanation": "①은 관형어가 관형어로 쓰이고, '모셨다'의 선어말 어미를 통한 높임 표현이 있으며, '선생님'(단수)과 '세 학생'(복수)이 모두 포함되어 [조건]을 모두 만족한다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q38", "number": 38, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 18, "status": "correct", "answer": 4, "explanation": "⑧과 의 '그건'들은 앞에서 이미 이야기한 간식 준비 분담 문제를 가리키는 지시 표현이므로, 앞에서 이미 이야기한 내용을 가리킨다는 ④가 적절하다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q39", "number": 39, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 18, "status": "incorrect", "answer": 3, "explanation": "'시작되자'의 '-되-'와 '말리는'의 '-이-'는 모두 피동의 의미를 더해 주는 접미사이므로 ③이 적절하다. ②의 '빼앗겼다'는 피동이지 사동이 아니다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q40", "number": 40, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "(나)에는 문자 언어를 보완하기 위해 슬픔을 표현한 그림(고양이 이모티콘 등)이 활용되었으나 (가)에는 없다. (나)는 전체 공개이므로 ④, (가)에는 게시 일시와 사용자 반응이 없으므로 ③⑤가 틀린다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q41", "number": 41, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "'동동'은 수행(대출) 기간을 늘려 달라는 계획(10업무일 건의)을 밝힌 것이지, '재신청 불가 기간 연장'에 대한 계획을 밝힌 것이 아니다. 따라서 ④가 소통 양상으로 적절하지 않다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q42", "number": 42, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 19, "status": "correct", "answer": 5, "explanation": "카드 4의 달력 표는 '수신일부터 3업무일' 즉 수행 기간의 계산법을 보여주는 것이지 수행 시간(운영 시간)에 대한 내용이 아니다. 따라서 ⑤의 설명은 적절하지 않다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q43", "number": 43, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "incorrect", "answer": 4, "explanation": "'아니겠'이 쓰인 '수령하는 것이 아니겠어요?'는 수령 시점에 대한 추측·확인 묻는 표현이지, 유의 사항 확인이 실수 방지 조건임을 나타내는 표현이 아니다. 따라서 ④가 적절하지 않다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q44", "number": 44, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 20, "status": "correct", "answer": 4, "explanation": "해정은 다겸에게 공유 화면을 아래로 내려 줄 것을 요청했을 뿐, 다겸이 화면 공유 권한을 넘겼다는 내용은 없다. 따라서 ④의 설명은 적절하지 않다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q45", "number": 45, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 20, "status": "correct", "answer": 3, "explanation": "(가)에서는 공간이 부족하다는 이유로 상세 정보를 '더 보기'에서 새 창에 제시하기로 했으나, ③은 '효용적 가치'를 논의하여 아래로 펼치는 기능을 활성화했다고 했으므로 적절하지 않다.", "abstain_reason": null, "time_seconds": 192.16454545454545, "usage": { "input_tokens": 1020.0909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2935.3636363636365, "reasoning_output_tokens": 2821.2727272727275 }, "estimated_cost_usd": 0.009316136363636365, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q01", "number": 1, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "9^(1/4)·3^(-1/2)=3^(1/2)·3^(-1/2)=3^0=1.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q02", "number": 2, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "해당 극한은 f'(1). f'(x)=9x^2+4이므로 f'(1)=13.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q03", "number": 3, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "2Σa_k - Σk =0, Σk=10이므로 Σa_k=5.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q04", "number": 4, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "x=1에서 연속이려면 3·1-2 = 1-3+a, 즉 1=a-2이므로 a=3.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q05", "number": 5, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "곱의 미분으로 f'(1)=(2-1-2)+(3)(4-1)=-1+9=8.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q06", "number": 6, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "조건을 일관되게 풀면 ab=3이 되어 log_9(ab)=log_9 3=1/2.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q07", "number": 7, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "차이는 (6/5)x^2, 0~2 적분하면 (6/5)(8/3)=16/5.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q08", "number": 8, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "tanθ=-3이고 cos(π-θ)>0⇒cosθ<0, 제2사분면이므로 sinθ=3/√10=3√10/10.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "접점 x=a 또는 -3a에서 f=5. 양수 a는 a^3=1/27⇒a=1/3, f(2)=14.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "수평접근선 y=-2에서 C(t,-2), AB=BC⇒a^t=4, △AOC 넓이 2t=8⇒t=4, a=2^(1/2), a·|OB|=2^(1/2)·4=2^(5/2).", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "가 참(13/3), 나 거짓(v>0 항상), 다 참(거리 3). 따라서 가,다.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "correct", "answer": 2, "explanation": "두 식의 비로 r^3=2, a=3/7, a_10=a·r^9=24/7.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "l: y=-2x-4, m: y=-4x+10. y절편 -4,10과 교점(7,-18)으로 넓이 1/2·14·7=49.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "CEG의 외접원 반지름 R=4√15/5, GH=2R·sin∠BAC=2R·(4/5)=32√15/25.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "극값이 유일하려면 a≤4, 최대 k=4. a=4일 때 h(3)=7/2이므로 k+h(3)=15/2.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "a_2=1·1+1=2, a_3=4·2+1=9.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "F(x)=x^4-x^2+4, F(2)=16-4+4=16.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "sin A=4/5, 넓이=1/2·5·6·4/5=12.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "p(x)=2x^3+3x^2-12x-8의 [-2,2] 극값/끝점 중 최대 절댓값은 p(1)=-15이므로 k=15.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "correct", "answer": 130, "explanation": "f(n)=n/3, a_2=10(p), 합=52(q), f(12)=4. (p·q)/f(12)=520/4=130.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "abstained", "answer": null, "explanation": "조건 (가),(나)의 자기참조 구조를 확정적으로 풀어내지 못해 추측을 피한다.", "abstain_reason": "uncertain", "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q22", "number": 22, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 457, "source_page": 8, "status": "correct", "answer": 457, "explanation": "중점·반사 조건에서 a=63/4, b=7/4, ab=441/16. p+q=16+441=457.", "abstain_reason": null, "time_seconds": 25.71827272727273, "usage": { "input_tokens": 990.8181818181819, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1325, "reasoning_output_tokens": 1245 }, "estimated_cost_usd": 0.004470409090909091, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q23", "number": 23, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 9, "status": "correct", "answer": 3, "explanation": "4개 문자에서 중복 허용으로 3개를 택해 순열하는 경우의 수는 4^3=64.", "abstain_reason": null, "time_seconds": 38.548375, "usage": { "input_tokens": 1393.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1947.875, "reasoning_output_tokens": 1841.625 }, "estimated_cost_usd": 0.006540375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q24", "number": 24, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "P(A∩B)=P(B|A)P(A)=1/10. P(A∪B)=P(A)+P(B)-P(A∩B)=1 이므로 P(B)=1-2/5+1/10=7/10.", "abstain_reason": null, "time_seconds": 38.548375, "usage": { "input_tokens": 1393.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1947.875, "reasoning_output_tokens": 1841.625 }, "estimated_cost_usd": 0.006540375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q25", "number": 25, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 10, "status": "correct", "answer": 2, "explanation": "전체 C(10,2)=45. 같은 색 C(5,2)+C(5,2)=20, 같은 수(2,3,4,5) 4가지, 교집합 0. 합 24/45=8/15.", "abstain_reason": null, "time_seconds": 38.548375, "usage": { "input_tokens": 1393.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1947.875, "reasoning_output_tokens": 1841.625 }, "estimated_cost_usd": 0.006540375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q26", "number": 26, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "표본평균의 표준오차=5/√36=5/6. 반폭=2.58·5/6=2.15. a=1.2+2·2.15=5.5.", "abstain_reason": null, "time_seconds": 38.548375, "usage": { "input_tokens": 1393.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1947.875, "reasoning_output_tokens": 1841.625 }, "estimated_cost_usd": 0.006540375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q27", "number": 27, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 11, "status": "correct", "answer": 4, "explanation": "a=1/6, E(X)=5/2, E(X²)=15/2, V(X)=5/4. V((1/a)X)=36·5/4=45.", "abstain_reason": null, "time_seconds": 38.548375, "usage": { "input_tokens": 1393.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1947.875, "reasoning_output_tokens": 1841.625 }, "estimated_cost_usd": 0.006540375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q28", "number": 28, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 11, "status": "correct", "answer": 2, "explanation": "조건(합 홀수)일 때 전체 640. 상자3=상자2+1 조건을 만족하는 순열 120개. 확률 120/640=3/16.", "abstain_reason": null, "time_seconds": 38.548375, "usage": { "input_tokens": 1393.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1947.875, "reasoning_output_tokens": 1841.625 }, "estimated_cost_usd": 0.006540375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q29", "number": 29, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 977, "source_page": 12, "status": "correct", "answer": 977, "explanation": "기록값이 3일 확률=(a+4)/32, E(X)=600(a+4)=4800에서 a=4, p=1/4. X~B(19200,1/4), σ=60. z=(4920-4800)/60=2.0, P=0.5+0.477=0.977, 1000k=977.", "abstain_reason": null, "time_seconds": 38.548375, "usage": { "input_tokens": 1393.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1947.875, "reasoning_output_tokens": 1841.625 }, "estimated_cost_usd": 0.006540375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q30", "number": 30, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 262, "source_page": 12, "status": "correct", "answer": 262, "explanation": "x0=x2+2. (가)에서 (x2,x1,x0)=(2,4,4) 또는 (1,6,3). (나) 2개 주머니의 인접 주머니는 빈 주머니. 경우 수 150+112=262.", "abstain_reason": null, "time_seconds": 38.548375, "usage": { "input_tokens": 1393.5, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 1947.875, "reasoning_output_tokens": 1841.625 }, "estimated_cost_usd": 0.006540375, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q23", "number": 23, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "tan(6x)~6x 이므로 극한은 6x/2x = 3.", "abstain_reason": null, "time_seconds": 42.70725, "usage": { "input_tokens": 1393.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2331.5, "reasoning_output_tokens": 2239.625 }, "estimated_cost_usd": 0.0076913125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q24", "number": 24, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 13, "status": "correct", "answer": 4, "explanation": "피적분함수 = √(sinx)·cosx. u=sinx로 치환하면 ∫₀¹√u du = 2/3.", "abstain_reason": null, "time_seconds": 42.70725, "usage": { "input_tokens": 1393.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2331.5, "reasoning_output_tokens": 2239.625 }, "estimated_cost_usd": 0.0076913125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q25", "number": 25, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 14, "status": "correct", "answer": 3, "explanation": "양변의 부등식에서 a_n ~ 5n. 따라서 (25n²)/(10n²) = 5/2.", "abstain_reason": null, "time_seconds": 42.70725, "usage": { "input_tokens": 1393.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2331.5, "reasoning_output_tokens": 2239.625 }, "estimated_cost_usd": 0.0076913125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q26", "number": 26, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "부피 = (√3/4)∫₁²(x+xlnx)dx = (√3/4)(3/4+2ln2) = √3(3+8ln2)/16.", "abstain_reason": null, "time_seconds": 42.70725, "usage": { "input_tokens": 1393.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2331.5, "reasoning_output_tokens": 2239.625 }, "estimated_cost_usd": 0.0076913125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q27", "number": 27, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "y-3x = -5e^{4t} = -5e 에서 t=1/4. 기울기 = dy/dx = (3π-2)/(π+6).", "abstain_reason": null, "time_seconds": 42.70725, "usage": { "input_tokens": 1393.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2331.5, "reasoning_output_tokens": 2239.625 }, "estimated_cost_usd": 0.0076913125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q28", "number": 28, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "t = s·f'(s) = s³/(s+1). s=1→t=1/2, s=3→t=27/4. ∫g(t)dt = ∫₁³ s·h'(s)ds = 157/12 + ln2.", "abstain_reason": null, "time_seconds": 42.70725, "usage": { "input_tokens": 1393.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2331.5, "reasoning_output_tokens": 2239.625 }, "estimated_cost_usd": 0.0076913125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q29", "number": 29, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 97, "source_page": 16, "status": "correct", "answer": 97, "explanation": "a_n=nd, 등비 조건에서 d=1/4, 부등식에서 k=2. a₂·Σb_{2n} = (1/2)(81/8)=81/16, p+q=97.", "abstain_reason": null, "time_seconds": 42.70725, "usage": { "input_tokens": 1393.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2331.5, "reasoning_output_tokens": 2239.625 }, "estimated_cost_usd": 0.0076913125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q30", "number": 30, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 11, "source_page": 16, "status": "correct", "answer": 11, "explanation": "불연속점 a=0, b=1/w (wlnw=2). g(0)=1, lim_{m→0+}g=3, g(b)=2, (lnb/b)²=4. 따라서 1·3+2·4=11.", "abstain_reason": null, "time_seconds": 42.70725, "usage": { "input_tokens": 1393.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 2331.5, "reasoning_output_tokens": 2239.625 }, "estimated_cost_usd": 0.0076913125, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q23", "number": 23, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "a+b=(4,1)+(-1,-1)=(3,0). 모든 성분의 합은 3+0=3.", "abstain_reason": null, "time_seconds": 67.417375, "usage": { "input_tokens": 1392.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3544.75, "reasoning_output_tokens": 3441.625 }, "estimated_cost_usd": 0.0113305625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q24", "number": 24, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 17, "status": "correct", "answer": 1, "explanation": "y²=12(x-2)에서 4p=12이므로 p=3. 초점(5,0), 준선 x=-1이므로 둘 사이 거리는 2p=6.", "abstain_reason": null, "time_seconds": 67.417375, "usage": { "input_tokens": 1392.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3544.75, "reasoning_output_tokens": 3441.625 }, "estimated_cost_usd": 0.0113305625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q25", "number": 25, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 18, "status": "correct", "answer": 5, "explanation": "yz평면 대칭 B=(-3,-3/2,-2), 원점 대칭 C=(-3,3/2,2). BC의 길이=√(0²+3²+4²)=5.", "abstain_reason": null, "time_seconds": 67.417375, "usage": { "input_tokens": 1392.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3544.75, "reasoning_output_tokens": 3441.625 }, "estimated_cost_usd": 0.0113305625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q26", "number": 26, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 18, "status": "correct", "answer": 2, "explanation": "접선 √2y-x=a가 y축과 만나는 P=(0,a/√2). 초점(0,±a√2)까지의 거리 곱 (a/√2)(3a/√2)=3a²/2=8이므로 a=4√3/3.", "abstain_reason": null, "time_seconds": 67.417375, "usage": { "input_tokens": 1392.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3544.75, "reasoning_output_tokens": 3441.625 }, "estimated_cost_usd": 0.0113305625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q27", "number": 27, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "지름 5(반지름 2.5)에서 AB는 지름, 등변사다리꼴 ABCD로 놓으면 H=(1,2,0), 삼각형 ABH 넓이=5. 사다리꼴 넓이 4√(4+h²)=4·5=20이므로 h²=21, h=√21.", "abstain_reason": null, "time_seconds": 67.417375, "usage": { "input_tokens": 1392.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3544.75, "reasoning_output_tokens": 3441.625 }, "estimated_cost_usd": 0.0113305625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q28", "number": 28, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "좌표로 B(0,0,0),C(4,2,0),D(4,-2,0),A(2,0,2√3),G(2,0,2√3/3)를 얻고 구 S의 반지름=2√3/3. 지름 AG인 구와의 교선 T는 z=√3에서 반지름 1인 원. ABC평면의 법선과 수직 방향의 cos=1/4이므로 정사영 넓이=π·1/4=π/4.", "abstain_reason": null, "time_seconds": 67.417375, "usage": { "input_tokens": 1392.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3544.75, "reasoning_output_tokens": 3441.625 }, "estimated_cost_usd": 0.0113305625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q29", "number": 29, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 360, "source_page": 20, "status": "correct", "answer": 360, "explanation": "타원의 초점 거리 합 성질로 삼각형 AHB 둘레=AH+2a=4p이므로 4p=p+27, p=9. 넓이 조건과 포물선 방정식에서 u=p+h=5, y_A=6. HF²=4p²+y_A²=324+36=360.", "abstain_reason": null, "time_seconds": 67.417375, "usage": { "input_tokens": 1392.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3544.75, "reasoning_output_tokens": 3441.625 }, "estimated_cost_usd": 0.0113305625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q30", "number": 30, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 221, "source_page": 20, "status": "correct", "answer": 221, "explanation": "Thales로 |PA|=2. 벡터 정리에서 P·(Q-B)=0을 얻고 좌표 계산으로 B·Q=1054/25. |PA·QB|=|B·Q-50|=196/25이므로 p=25, q=196, p+q=221.", "abstain_reason": null, "time_seconds": 67.417375, "usage": { "input_tokens": 1392.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 3544.75, "reasoning_output_tokens": 3441.625 }, "estimated_cost_usd": 0.0113305625, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q01", "number": 1, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "남자는 수면 보조 앱 Nightly Journey의 기능을 소개하며 사용하도록 권유한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q02", "number": 2, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 실내 암벽 등반이 전략적 사고와 계획 수정을 통해 문제 해결 능력을 향상시킨다고 주장한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q03", "number": 3, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "상담사는 큰 포즈를 취하면 뇌에 강하다는 신호를 보내 불안이 완화된다고 조언한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q04", "number": 4, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "대화에서는 테이블 주위에 의자가 세 개라고 하는데 그림에는 두 개만 그려져 있어 일치하지 않는다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q05", "number": 5, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 마지막에 재료를 추가로 만들 재료의 배송을 오후에 확인하겠다고 말한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q06", "number": 6, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "중형 히터 $70에 가죽 슬리퍼 2켤레 $20을 더한 $90이며 쿠폰은 무효이다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q07", "number": 7, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 티 클럽과 시간이 겹치는 이른 아침 비즈니스 미팅이 있어 참석할 수 없다고 한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q08", "number": 8, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "장소·날짜·상품·신청 방법은 언급되지만 후원 기관에 대해서는 언급되지 않는다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q09", "number": 9, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "프로그램은 개인이 아닌 팀으로 신청해야 하므로 개인별로 신청해야 한다는 내용은 일치하지 않는다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q10", "number": 10, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "$10 이하, 나무 손가락 제외, 나이프 3개 이상, 선물 박스 없음을 모두 만족하는 것은 D이다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q11", "number": 11, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자가 도착할 때까지 아이를 봐줄 수 있냐고 묻기에, 동의하며 운전 조심하라고 답하는 것이 적절하다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q12", "number": 12, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 직행 버스가 있는 곳을 가겠다고 했으므로 직행이 있는 그 장소(Rosemary)를 선택하겠다고 답한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q13", "number": 13, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "여자가整套 키트가 필요 없다고 하므로 파손된 부품을 바로 보내주겠다고 답하는 것이 적절하다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q14", "number": 14, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "남자의 주말에 함께 요리하라는 제안에 동의하며 딸이 다양한 음식을 먹게 되길 바란다고 답한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q15", "number": 15, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "Olivia는 인터넷 정보만으론 부족하므로 자전거로 각 장소를 직접 방문하자고 제안한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q16", "number": 16, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "여자는 빠르게 자라 과학 실험에 쓰이는 식물(대나무, 상추, 해바라기, 완두)을 소개한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q17", "number": 17, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "대나무·상추·해바라기·완두는 언급되지만 옥수수는 언급되지 않는다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q18", "number": 18, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "동아리 주임이 학생들에게 새 동아리 개설 제안서를 제출하도록 독려하는 공지이다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q19", "number": 19, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "Sophie는 처음에 길을 몰라 혼란스러워하다가 어린 시절 집을 찾아내 밝게 웃는다(confused→pleased).", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q20", "number": 20, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "작자는 가사를 통해 현대 작사가들이 언어·문학에 기여한 바가 인정되어야 한다고 주장한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q21", "number": 21, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "디지털 플랫폼으로 업무가 특정 장소에 묶이지 않게 되어 업무 수행의 공간적 유연성이 높아졌다는 뜻이다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q22", "number": 22, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "스포츠 산업에서 협력과 경쟁을 동시에 추구하는 균형 잡힌 접근이 필요하다고 제시한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q23", "number": 23, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "속도보다 빈도를 중시해야 하는 이유, 즉 대중교통에서 빈도의 중요성을 논한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q24", "number": 24, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "상업화(현금)와 본래 메시지(영혼) 사이의 긴장을 다룬 cultuartainment에 대한 제목으로 ②가 적절하다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q25", "number": 25, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "Less Often에서 이메일(43)이 가장 높고 전화(41)가 두 번째이므로 이메일이 두 번째라는 ④는 틀린다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q26", "number": 26, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "Morrison Award는 1952년이 아니라 1년 뒤인 1953년에 수상했으므로 ③은 일치하지 않는다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q27", "number": 27, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "학생 투표로 선정되는 종소리는 네 개가 아니라 세 개이므로 ④는 일치하지 않는다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q28", "number": 28, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "패스는 온라인으로만 구매할 수 있으므로 ④가 안내문과 일치한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q29", "number": 29, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "② 'being'이 포함된 문장은 유한 동사가 없어 문장이 완성되지 않는 문법 오류이다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q30", "number": 30, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "선수가 가능한 많은 행위로 얻으려는 것은 경쟁 우위를 '포기'하는 것이 아니라 확보하는 것이므로 abandon이 부적절하다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q31", "number": 31, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "공급·수요 정보가 비밀리에 유지된 이유는 그것이 이들의 수익성(profitability)의 열쇠였기 때문이다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q32", "number": 32, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "쓰기는 즉각적 피드백이 없으므로 부재한 독자의 반응을 미리 예상해야 한다는 맥락에 ⑤가 들어간다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q33", "number": 33, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "설계 과정에 자문(참여)한 사람은 새 건물에 더 만족할 가능성이 높다는 문맥에 ④가 적절하다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q34", "number": 34, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "본인이 합리적으로 선택하지 않을 일을 금지하는 법은 자유에 대한 제한으로 이해될 수 없다는 논리 흐름에 ③이 들어간다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q35", "number": 35, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "④는 목공·디자인 수업의 수강 신청 순서에 대한 내용으로 자기돌봄 우선순위라는 전체 흐름과 무관하다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q36", "number": 36, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "incorrect", "answer": 5, "explanation": "반복적 과정이라는 일반론(C)→초점 예외도 반복(A)→'또 다른' 예시인 방사성 탄소 연대법(B) 순이 자연스럽다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q37", "number": 37, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 5, "explanation": "학제간 가교 역할(C)→질문과 협력이 필요(B)→이로써 경험적 보충이 필요하다는 결론(A) 순이 적절하다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement", "official_status": "correct", "accepted_answers": [ 4, 5 ], "benchmark_adjusted": false }, { "id": "2026-english-english-q38", "number": 38, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 5, "explanation": "내러티브가 정체성에 뿌리내린다는 문장은 대학 예시 이후, 정체성 예시(총기·기후) 앞에 들어가야 한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q39", "number": 39, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "실세계와 동일하게 지각이 행동을 필요로 한다는 (2) 이후, 아바타를 통한 행동이라는 차이점을 제시하는 문장이 들어간다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q40", "number": 40, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "외부 자금 의존으로 인한 재정적 어려움(challenges) 속에서도 체험을 중시하는 관객을 확보(secure)한다는 의미가 본문과 일치한다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q41", "number": 41, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 8, "status": "correct", "answer": 2, "explanation": "실물 의복의 공백을 시각 자료(회화·인쇄물 등)로 메운다는 내용이므로 ②가 적절한 제목이다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q42", "number": 42, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "예술 정보가 없으면 전시가 원래 의도를 어색하게 모방할 '가능'하다는 뜻이므로 unlikely가 부적절하다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q43", "number": 43, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "클럽 제안·동의(D)→도서관에서 책 선택(C)→첫 모임(B) 순이 시간적으로 자연스럽다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q44", "number": 44, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 8, "status": "correct", "answer": 3, "explanation": "(a)(b)(d)(e)는 모두 Mia를 가리키지만 (c) 'her'는 사서(librarian)를 가리켜 지칭 대상이 다르다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q45", "number": 45, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "Mia는 처음에 거절했고 설득 끝에しぶしぶ 동의했으므로 처음부터 환호해 받아들였다는 ⑤는 적절하지 않다.", "abstain_reason": null, "time_seconds": 4.627066666666666, "usage": { "input_tokens": 1471.2, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 381.4222222222222, "reasoning_output_tokens": 309.0444444444444 }, "estimated_cost_usd": 0.0018798666666666668, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" } ], "sources": [ { "subject": "korean", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093801&lev=0&m=0403&s=suneung" }, { "subject": "math", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093800&lev=0&m=0403&s=suneung" }, { "subject": "english", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093799&lev=0&m=0403&s=suneung" } ], "completed": false, "protocol": { "model": "qwen3.8-27b", "provider": "qwen", "effort": "high", "sdk_version": "Pi CLI 0.87.1", "tools": "disabled", "input": "original PDF rendered at 200 DPI", "english_listening": "official transcript rendered as images", "max_iterations": 3, "group_timeout_seconds": 900, "concurrency": 2, "cost_limit_usd": 25, "subscription_only": false, "api_key_fallback": false, "agent": "Pi", "api_model": "qwen3.8-27b", "api_base_url": "https://dashscope-intl.aliyuncs.com/compatible-mode/v1", "max_output_tokens": 65536, "effort_semantics": "thinking enabled; no numeric high-effort setting", "output_format": "prompted JSON; no tools", "image_resize": false, "route_hash": "7de7d9502195f0277ab4b824f41d2aaaa503a82fd869d17c1a67961b61982c07", "batch_max_questions": 6, "recovery_policy": "one_split_recovery_pass" }, "protocol_history": [ { "protocol": { "model": "qwen3.8-27b", "provider": "qwen", "effort": "high", "sdk_version": "Pi CLI 0.87.1", "tools": "disabled", "input": "original PDF rendered at 200 DPI", "english_listening": "official transcript rendered as images", "max_iterations": 3, "group_timeout_seconds": 900, "concurrency": 2, "cost_limit_usd": 25, "subscription_only": false, "api_key_fallback": false, "agent": "Pi", "api_model": "qwen3.8-27b", "api_base_url": "https://dashscope-intl.aliyuncs.com/compatible-mode/v1", "max_output_tokens": 65536, "effort_semantics": "thinking enabled; no numeric high-effort setting", "output_format": "prompted JSON; no tools", "image_resize": false, "route_hash": "7de7d9502195f0277ab4b824f41d2aaaa503a82fd869d17c1a67961b61982c07" }, "changed_at": "2026-10-12T13:50:33.502Z", "answer_count": 113, "cause": "output_limit_or_timeout_split_recovery" } ], "billing": { "method": "pi_api", "api_key_used": true, "subscription_only": false, "user_authorized": true, "api_model": "qwen3.8-27b", "api_endpoint": "https://dashscope-intl.aliyuncs.com/compatible-mode/v1", "reference_cost_is_invoice": false }, "usage_complete": false, "limitations": [ "공식 정답은 ⑤번입니다. 본 벤치마크는 문장 연결의 대안적 해석을 수용해 ④번도 정답으로 인정합니다.", "기존 묶음 실행 오류 후 미제출 문항을 최대 6문항씩 한 차례 복구했습니다. 이전 실행 조건·실패 사용량·답안은 protocol_history와 원본 실행 기록에 보존합니다.", "Pi 모델은 사용자 승인 API 인증으로 실행합니다. Codex·Claude 구독 결과와 인증 경로가 다릅니다.", "Pi CLI 0.87.1, 도구·확장·자동 재시도·문맥 압축·이미지 자동 축소 비활성, 묶음당 출력 상한 65,536토큰입니다.", "Pi의 총 입력은 비캐시 입력·캐시 읽기·캐시 쓰기의 합이며 추론 토큰은 총 출력의 부분집합입니다. 제공자가 별도 추론 값을 주지 않으면 0은 미보고를 뜻할 수 있습니다.", "Qwen은 thinking을 활성화했습니다. API가 high 추론 강도 값을 제공하지 않아 다른 모델과 같은 강도로 해석하지 않습니다.", "영어 듣기 1~17번은 공식 대본 이미지로 평가합니다. 실제 음성 청취 성능이 아닙니다.", "전체 지표는 공통 문항을 한 번만 센 147개 고유 문항 기준입니다.", "전체 풀이 시간은 실제 경과 시간이며 병렬 묶음 시간 합계와 다릅니다.", "문항별 시간·사용량·시험별 비용은 묶음 값을 균등 배분한 추정치입니다.", "USD 비용은 API 요율 환산 참고값으로 실제 구독 청구액이나 API 결제액이 아닙니다.", "사용량 없는 실패 요청은 비용에서 제외될 수 있어 확인 가능한 사용량의 하한 추정입니다.", "원본 200 DPI 이미지, protocol에 기록한 추론 설정, 외부 도구·검색 비활성 조건입니다. Claude의 StructuredOutput은 외부 IO가 없는 SDK 출력 형식 캐리어만 허용합니다.", "공개된 전년도 시험의 학습 데이터 포함 가능성과 모델별 토크나이저·SDK·추론 차이를 배제하지 않습니다.", "Claude의 사고 토큰은 별도 보고되지 않습니다. 내부 정규화의 0은 사고 토큰이 없다는 뜻이 아니며 총 출력 토큰에 포함됩니다." ], "grading_policy": { "id": "2026-english-q37-dual-answer-v1", "effective_date": "2026-10-17", "question_id": "2026-english-english-q37", "official_answer": 5, "accepted_answers": [ 4, 5 ], "annotation": "공식 정답은 ⑤번입니다. 본 벤치마크는 문장 연결의 대안적 해석을 수용해 ④번도 정답으로 인정합니다.", "rationale": "④(C→A→B)는 (C)의 비경험적 접근을 (A)의 경험적 보완 필요성으로 연결하고, (B)의 신경과학 협력으로 구체화하는 해석입니다. ⑤(C→B→A)는 학제 간 역할과 협력에서 경험적 보완 필요성으로 종합하는 해석입니다. 두 해석을 수용하는 벤치마크 운영 정책이며, 공식 복수정답 인정이나 모델들의 합의에 따른 판정이 아닙니다." }, "official_summary": { "total_questions": 147, "correct": 116, "incorrect": 10, "abstained": 5, "errors": 16, "pending": 0, "score": 305, "max_score": 376, "accuracy": 78.91156462585033, "abstention_rate": 3.4013605442176873, "attempt_accuracy": 92.06349206349206, "wall_time_seconds": 6985.481, "solver_time_seconds": 10209.219, 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93.87755102040816, "abstention_rate": 0.6802721088435374, "attempt_accuracy": 94.52054794520548, "wall_time_seconds": 2625.593, "solver_time_seconds": 3543.2010000000005, "usage": { "input_tokens": 578317, "cached_input_tokens": 0, "cache_write_input_tokens": 578222, "output_tokens": 133039, "reasoning_output_tokens": 118744 }, "estimated_cost_usd": 3.730536, "adjusted_correct": 0 }, "exams": [ { "id": "2026-korean-hwajak", "title": "2026학년도 국어 · 화법과 작문", "subject": "korean", "track": "hwajak", "question_ids": [ "2026-korean-common-q01", "2026-korean-common-q02", "2026-korean-common-q03", "2026-korean-common-q04", "2026-korean-common-q05", "2026-korean-common-q06", "2026-korean-common-q07", "2026-korean-common-q08", "2026-korean-common-q09", "2026-korean-common-q10", "2026-korean-common-q11", "2026-korean-common-q12", "2026-korean-common-q13", "2026-korean-common-q14", "2026-korean-common-q15", "2026-korean-common-q16", "2026-korean-common-q17", "2026-korean-common-q18", "2026-korean-common-q19", "2026-korean-common-q20", "2026-korean-common-q21", "2026-korean-common-q22", "2026-korean-common-q23", "2026-korean-common-q24", "2026-korean-common-q25", "2026-korean-common-q26", "2026-korean-common-q27", "2026-korean-common-q28", "2026-korean-common-q29", "2026-korean-common-q30", "2026-korean-common-q31", "2026-korean-common-q32", "2026-korean-common-q33", "2026-korean-common-q34", "2026-korean-hwajak-q35", "2026-korean-hwajak-q36", "2026-korean-hwajak-q37", "2026-korean-hwajak-q38", "2026-korean-hwajak-q39", "2026-korean-hwajak-q40", "2026-korean-hwajak-q41", "2026-korean-hwajak-q42", "2026-korean-hwajak-q43", "2026-korean-hwajak-q44", "2026-korean-hwajak-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 41, "incorrect": 4, "abstained": 0, "errors": 0, "pending": 0, "score": 91, "max_score": 100, "accuracy": 91.11111111111111, "abstention_rate": 0, "attempt_accuracy": 91.11111111111111, "wall_time_seconds": 1182.265, "solver_time_seconds": 1182.265, "usage": { "input_tokens": 163329.00000000006, "cached_input_tokens": 0, "cache_write_input_tokens": 163305.99999999994, "output_tokens": 44482.00000000004, "reasoning_output_tokens": 39670 }, "estimated_cost_usd": 1.157216999999999, "adjusted_correct": 0 }, "official_summary": { "total_questions": 45, "correct": 41, "incorrect": 4, "abstained": 0, "errors": 0, "pending": 0, "score": 91, "max_score": 100, "accuracy": 91.11111111111111, "abstention_rate": 0, "attempt_accuracy": 91.11111111111111, "wall_time_seconds": 1182.265, "solver_time_seconds": 1182.265, "usage": { "input_tokens": 163329.00000000006, "cached_input_tokens": 0, "cache_write_input_tokens": 163305.99999999994, "output_tokens": 44482.00000000004, "reasoning_output_tokens": 39670 }, "estimated_cost_usd": 1.157216999999999 } }, { "id": "2026-korean-language_media", "title": "2026학년도 국어 · 언어와 매체", "subject": "korean", "track": "language_media", "question_ids": [ "2026-korean-common-q01", "2026-korean-common-q02", "2026-korean-common-q03", "2026-korean-common-q04", "2026-korean-common-q05", "2026-korean-common-q06", "2026-korean-common-q07", "2026-korean-common-q08", "2026-korean-common-q09", "2026-korean-common-q10", "2026-korean-common-q11", "2026-korean-common-q12", "2026-korean-common-q13", "2026-korean-common-q14", "2026-korean-common-q15", "2026-korean-common-q16", "2026-korean-common-q17", "2026-korean-common-q18", "2026-korean-common-q19", "2026-korean-common-q20", "2026-korean-common-q21", "2026-korean-common-q22", "2026-korean-common-q23", "2026-korean-common-q24", "2026-korean-common-q25", "2026-korean-common-q26", "2026-korean-common-q27", "2026-korean-common-q28", "2026-korean-common-q29", "2026-korean-common-q30", "2026-korean-common-q31", "2026-korean-common-q32", "2026-korean-common-q33", "2026-korean-common-q34", "2026-korean-language_media-q35", "2026-korean-language_media-q36", "2026-korean-language_media-q37", "2026-korean-language_media-q38", "2026-korean-language_media-q39", "2026-korean-language_media-q40", "2026-korean-language_media-q41", "2026-korean-language_media-q42", "2026-korean-language_media-q43", "2026-korean-language_media-q44", "2026-korean-language_media-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 37, "incorrect": 8, "abstained": 0, "errors": 0, "pending": 0, "score": 82, "max_score": 100, "accuracy": 82.22222222222221, "abstention_rate": 0, "attempt_accuracy": 82.22222222222221, "wall_time_seconds": 1129.002, "solver_time_seconds": 1129.002, "usage": { "input_tokens": 163296.00000000006, "cached_input_tokens": 0, "cache_write_input_tokens": 163271.9999999999, "output_tokens": 42284.000000000015, "reasoning_output_tokens": 37014.000000000015 }, "estimated_cost_usd": 1.1241479999999997, "adjusted_correct": 0 }, "official_summary": { "total_questions": 45, "correct": 37, "incorrect": 8, "abstained": 0, "errors": 0, "pending": 0, "score": 82, "max_score": 100, "accuracy": 82.22222222222221, "abstention_rate": 0, "attempt_accuracy": 82.22222222222221, "wall_time_seconds": 1129.002, "solver_time_seconds": 1129.002, "usage": { "input_tokens": 163296.00000000006, "cached_input_tokens": 0, "cache_write_input_tokens": 163271.9999999999, "output_tokens": 42284.000000000015, "reasoning_output_tokens": 37014.000000000015 }, "estimated_cost_usd": 1.1241479999999997 } }, { "id": "2026-math-probability", "title": "2026학년도 수학 · 확률과 통계", "subject": "math", "track": "probability", "question_ids": [ "2026-math-common-q01", "2026-math-common-q02", "2026-math-common-q03", "2026-math-common-q04", "2026-math-common-q05", "2026-math-common-q06", "2026-math-common-q07", "2026-math-common-q08", "2026-math-common-q09", "2026-math-common-q10", "2026-math-common-q11", "2026-math-common-q12", "2026-math-common-q13", "2026-math-common-q14", "2026-math-common-q15", "2026-math-common-q16", "2026-math-common-q17", "2026-math-common-q18", "2026-math-common-q19", "2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-probability-q23", "2026-math-probability-q24", "2026-math-probability-q25", "2026-math-probability-q26", "2026-math-probability-q27", "2026-math-probability-q28", "2026-math-probability-q29", "2026-math-probability-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 988.6860000000004, "solver_time_seconds": 988.6860000000004, "usage": { "input_tokens": 122755.99999999997, "cached_input_tokens": 0, "cache_write_input_tokens": 122732.00000000001, "output_tokens": 37747, "reasoning_output_tokens": 34995 }, "estimated_cost_usd": 0.9344730000000003, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 988.6860000000004, "solver_time_seconds": 988.6860000000004, "usage": { "input_tokens": 122755.99999999997, "cached_input_tokens": 0, "cache_write_input_tokens": 122732.00000000001, "output_tokens": 37747, "reasoning_output_tokens": 34995 }, "estimated_cost_usd": 0.9344730000000003 } }, { "id": "2026-math-calculus", "title": "2026학년도 수학 · 미적분", "subject": "math", "track": "calculus", "question_ids": [ "2026-math-common-q01", "2026-math-common-q02", "2026-math-common-q03", "2026-math-common-q04", "2026-math-common-q05", "2026-math-common-q06", "2026-math-common-q07", "2026-math-common-q08", "2026-math-common-q09", "2026-math-common-q10", "2026-math-common-q11", "2026-math-common-q12", "2026-math-common-q13", "2026-math-common-q14", "2026-math-common-q15", "2026-math-common-q16", "2026-math-common-q17", "2026-math-common-q18", "2026-math-common-q19", "2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-calculus-q23", "2026-math-calculus-q24", "2026-math-calculus-q25", "2026-math-calculus-q26", "2026-math-calculus-q27", "2026-math-calculus-q28", "2026-math-calculus-q29", "2026-math-calculus-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 1447.4160000000008, "solver_time_seconds": 1447.4160000000008, "usage": { "input_tokens": 122765.99999999997, "cached_input_tokens": 0, "cache_write_input_tokens": 122742.00000000001, "output_tokens": 53954, "reasoning_output_tokens": 51268 }, "estimated_cost_usd": 1.1776080000000004, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 30, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 1447.4160000000008, "solver_time_seconds": 1447.4160000000008, "usage": { "input_tokens": 122765.99999999997, "cached_input_tokens": 0, "cache_write_input_tokens": 122742.00000000001, "output_tokens": 53954, "reasoning_output_tokens": 51268 }, "estimated_cost_usd": 1.1776080000000004 } }, { "id": "2026-math-geometry", "title": "2026학년도 수학 · 기하", "subject": "math", "track": "geometry", "question_ids": [ "2026-math-common-q01", "2026-math-common-q02", "2026-math-common-q03", "2026-math-common-q04", "2026-math-common-q05", "2026-math-common-q06", "2026-math-common-q07", "2026-math-common-q08", "2026-math-common-q09", "2026-math-common-q10", "2026-math-common-q11", "2026-math-common-q12", "2026-math-common-q13", "2026-math-common-q14", "2026-math-common-q15", "2026-math-common-q16", "2026-math-common-q17", "2026-math-common-q18", "2026-math-common-q19", "2026-math-common-q20", "2026-math-common-q21", "2026-math-common-q22", "2026-math-geometry-q23", "2026-math-geometry-q24", "2026-math-geometry-q25", "2026-math-geometry-q26", "2026-math-geometry-q27", "2026-math-geometry-q28", "2026-math-geometry-q29", "2026-math-geometry-q30" ], "max_score": 100, "summary": { "total_questions": 30, "correct": 29, "incorrect": 0, "abstained": 1, "errors": 0, "pending": 0, "score": 96, "max_score": 100, "accuracy": 96.66666666666667, "abstention_rate": 3.3333333333333335, "attempt_accuracy": 100, "wall_time_seconds": 1057.6670000000001, "solver_time_seconds": 1057.6670000000001, "usage": { "input_tokens": 122757.99999999997, "cached_input_tokens": 0, "cache_write_input_tokens": 122734.00000000001, "output_tokens": 42436, "reasoning_output_tokens": 39706 }, "estimated_cost_usd": 1.0048140000000003, "adjusted_correct": 0 }, "official_summary": { "total_questions": 30, "correct": 29, "incorrect": 0, "abstained": 1, "errors": 0, "pending": 0, "score": 96, "max_score": 100, "accuracy": 96.66666666666667, "abstention_rate": 3.3333333333333335, "attempt_accuracy": 100, "wall_time_seconds": 1057.6670000000001, "solver_time_seconds": 1057.6670000000001, "usage": { "input_tokens": 122757.99999999997, "cached_input_tokens": 0, "cache_write_input_tokens": 122734.00000000001, "output_tokens": 42436, "reasoning_output_tokens": 39706 }, "estimated_cost_usd": 1.0048140000000003 } }, { "id": "2026-english-english", "title": "2026학년도 영어", "subject": "english", "track": "english", "question_ids": [ "2026-english-english-q01", "2026-english-english-q02", "2026-english-english-q03", "2026-english-english-q04", "2026-english-english-q05", "2026-english-english-q06", "2026-english-english-q07", "2026-english-english-q08", "2026-english-english-q09", "2026-english-english-q10", "2026-english-english-q11", "2026-english-english-q12", "2026-english-english-q13", "2026-english-english-q14", "2026-english-english-q15", "2026-english-english-q16", "2026-english-english-q17", "2026-english-english-q18", "2026-english-english-q19", "2026-english-english-q20", "2026-english-english-q21", "2026-english-english-q22", "2026-english-english-q23", "2026-english-english-q24", "2026-english-english-q25", "2026-english-english-q26", "2026-english-english-q27", "2026-english-english-q28", "2026-english-english-q29", "2026-english-english-q30", "2026-english-english-q31", "2026-english-english-q32", "2026-english-english-q33", "2026-english-english-q34", "2026-english-english-q35", "2026-english-english-q36", "2026-english-english-q37", "2026-english-english-q38", "2026-english-english-q39", "2026-english-english-q40", "2026-english-english-q41", "2026-english-english-q42", "2026-english-english-q43", "2026-english-english-q44", "2026-english-english-q45" ], "max_score": 100, "summary": { "total_questions": 45, "correct": 45, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 191.4129999999999, "solver_time_seconds": 191.4129999999999, "usage": { "input_tokens": 168793.99999999985, "cached_input_tokens": 0, "cache_write_input_tokens": 168781.99999999994, "output_tokens": 7723.999999999995, "reasoning_output_tokens": 4204.999999999997 }, "estimated_cost_usd": 0.6222420000000003, "adjusted_correct": 0 }, "official_summary": { "total_questions": 45, "correct": 45, "incorrect": 0, "abstained": 0, "errors": 0, "pending": 0, "score": 100, "max_score": 100, "accuracy": 100, "abstention_rate": 0, "attempt_accuracy": 100, "wall_time_seconds": 191.4129999999999, "solver_time_seconds": 191.4129999999999, "usage": { "input_tokens": 168793.99999999985, "cached_input_tokens": 0, "cache_write_input_tokens": 168781.99999999994, "output_tokens": 7723.999999999995, "reasoning_output_tokens": 4204.999999999997 }, "estimated_cost_usd": 0.6222420000000003 } } ], "questions": [ { "id": "2026-korean-common-q01", "number": 1, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "지문은 해독 발달에 글 읽기 경험과 말소리 듣기 경험이 모두 필요하고, 언어 이해는 해독 발달 전 구어 경험으로도 발달한다고 했다. 독서 경험이 말소리 듣기 경험에 앞서야 한다는 순서 주장은 일치하지 않는다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q02", "number": 2, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "지문은 단순 관점이 글자 인식부터 의미 이해까지 머릿속 작용이 어떤 과정을 거치는지는 설명하지 않는다고 한계를 명시했다. ⑤가 이 비판을 그대로 반영한다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q03", "number": 3, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "학생 B는 해독(단어 발음·식별)이 부족해 글로 읽을 때는 중심 내용을 파악하지 못하고 말로 들을 때만 파악했다. 글 읽기 경험을 통해 중심 내용을 파악하게 되었다는 ④는 보기와 어긋난다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q04", "number": 4, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "(가)는 문리·체계적·역사적 해석처럼 해석 방법을 구분해 제시하고, (나)는 민법·특별법·연대 보증 등 보증 계약 규범의 주요 내용을 열거한다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q05", "number": 5, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "유상 계약은 당사자가 서로 대가를 주고받기로 하는 계약일 뿐, 교환 대상의 값어치가 일치해야 체결된다는 내용은 (가)에 없다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q06", "number": 6, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "보증 계약은 채권자와 보증인 사이의 계약이라 보증인에게 대가를 줄 의무가 있는 주채무자는 그 계약의 당사자가 아니다. 그래서 별도 대가 계약이 있어도 보증 계약은 유상 계약이 아니다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q07", "number": 7, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "보증은 담보 기능을 수행하므로 주채무가 소멸하면 보증 채무도 소멸한다. 채권이 주채무자로부터 실현되면 연대 보증인도 더 이상 이행 의무가 없다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q08", "number": 8, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "연대 보증 특약이 없는 일반 보증인은 주채무자에게 강제집행 대상 재산이 있음을 증명해 보증 채무 이행을 거절할 수 있다. 거절할 수 없다는 ③은 틀렸다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q09", "number": 9, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 3, "status": "correct", "answer": 5, "explanation": "㉥ ‘규정하고’는 법조문이 내용을 정하고 있다는 뜻이므로 ‘바로잡고’로 바꾸면 의미가 달라진다. 나머지는 문맥상 자연스럽게 치환된다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q10", "number": 10, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 4, "status": "correct", "answer": 5, "explanation": "지문 말미에서 반응 완료 시간은 띠의 두께가 얇을수록 짧다고 했다. 따라서 두께가 얇을수록 휨이 빨리 완료된다는 ⑤가 일치한다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q11", "number": 11, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "온도를 올리면 계수가 큰 쪽이 바깥이 되도록 작은 쪽으로 휘고, 내리면 계수가 큰 쪽이 더 수축해 큰 쪽으로 휜다. 작은 물질 쪽으로 휜다는 ③은 추론이 틀렸다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q12", "number": 12, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "힘이 소멸하는 시점은 최대 이동 거리(최대 곡률)에 도달한 때이고, 온도 변화량이 클수록 더 휘어진다. T2가 T1보다 높으므로 a,b 모두 소멸 시점의 곡률은 더 커진다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q13", "number": 13, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 4, "status": "correct", "answer": 1, "explanation": "㉡ ‘돌아온다’는 원래 모양(상태)으로 되돌아간다는 뜻이다. ‘고향으로 돌아왔다’가 원래 곳으로의 복귀라는 점에서 가장 가깝다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q14", "number": 14, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "롱게네스는 자율성이 시공간적 세계에서의 선택이며, 그러려면 신체가 있고 살아 있어야 한다고 했다. 따라서 살아 있음은 시공간적 세계 안에서의 선택에 필수적이다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q15", "number": 15, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "[A]는 두 전제 속 ‘의식’의 함의가 다르기 때문에(첫째는 실재를 의식, 둘째는 실재를 뜻하지 않음) 결론이 도출되지 않는다고 설명한다. ①이 이를 묻는다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q16", "number": 16, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "스트로슨은 자아에 대한 인식이 경험적 인식들로부터 추상화된다고 보았으므로, 경험적 인식이 자아 인식에 의존한다는 ②는 관계를 뒤집었다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q17", "number": 17, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "칸트 이전 유력 견해는 ‘생각하는 나’인 영혼이 단일 주관으로 지속하는 것이 인격 동일성을 보장한다고 보았다. 그 관점에서는 지속만으로 보장되지 않는다는 갑의 주장이 옳지 않게 된다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q18", "number": 18, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "자라는 호랑이가 먼저 ‘내 자라 아니요’ 하며 정체와 먹을 뜻을 드러낸 뒤에 비로소 자신이 별주부임을 밝힌다. 자라가 먼저 정체를 밝혔다는 ②는 서술 순서와 맞지 않는다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q19", "number": 19, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 7, "status": "correct", "answer": 4, "explanation": "㉠ 이 산중은 자라가 호랑이를 만나 위험에 빠진 공간이고, ㉡ 수국은 자라가 별주부 내력을 들어 위험에서 벗어나고자 언급한 공간이다. ④가 이 대비를 적절히 짚었다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q20", "number": 20, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "㉢는 자라가 호랑이 등장이라는 위기에, ㉥는 호랑이가 자라가 목을 내미는 행동이라는 위기에 각각 놀란 반응이다. 주체가 다르고 상대의 말·행동으로 생긴 위기에서의 반응이라는 ③이 맞다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q21", "number": 21, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 7, "status": "correct", "answer": 2, "explanation": "‘동의보감’ 대목은 자라가 호랑이의 의술 지식을 빌려 속임수를 쓰려는 장면이지, 명약을 탐하는 속내를 지식으로 숨기는 위선을 비판하는 중첩으로 보기 어렵다. 선생님 설명과의 연결이 가장 부적절하다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q22", "number": 22, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "incorrect", "answer": 4, "explanation": "(가)는 ‘때가 있다’의 연쇄와 소금→별빛의 연결로, (다)는 ‘그런즉’으로 만물→사람→기의 논리를 연쇄적으로 이어 주체의 인식·태도 전개를 보여 준다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q23", "number": 23, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "‘밤을 지키는 발자국 소리 들리지 않는다’는 지켜주는 이조차 없는 상실·암울함이지, 감시의 눈을 피해 다닌다는 뜻이 아니다. ①은 보기 해석에서 벗어난 과잉 독해다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q24", "number": 24, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "incorrect", "answer": 2, "explanation": "(다)에서 쓸모 있는 소리(탄식·담소)는 좋아하면 아름답고 미워하면 추한 소리가 되는 것이지, ㉡(외마디 소리)와 좋아·미워의 대비로 연결되지 않는다. ②의 짝짓기가 부적절하다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q25", "number": 25, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 9, "status": "correct", "answer": 4, "explanation": "㉤ 흰 구름과 ㉥ 장대비는 감이 ‘그 그리움 날로 자라면’ 익어 가는 과정에서 만나는 자연 조건으로, 화자는 그 만남 자체를 유의미하게 여긴다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q26", "number": 26, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 9, "status": "correct", "answer": 2, "explanation": "좋은 소리는 듣기 좋고·글로 쓰이고·바름에 합당하다는 조건의 충족이지, 상반된 특성의 균형으로 제시되지 않는다. ②는 문학론의 핵심을 어긋나게 요약했다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q27", "number": 27, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "허명두는 온 씨의 공격에 ‘해볼 테로 해보라지’라고 정면으로 맞서고 온 씨도 일어서므로, 애둘러 말해 관심을 돌렸다는 ⑤는 사실과 다르다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q28", "number": 28, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "㉠ 이야기를 퍼뜨린 인물은 온 씨이고, 온 씨는 ㉡ 소문과 관련해 허명두를 찾아가 [A]에서 확인(청년단 일, 별의별 못난 것들)한 내용을 얻었다. 그 내용이 ㉠에 반영된다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q29", "number": 29, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 11, "status": "correct", "answer": 1, "explanation": "독가촌은 고속도로 접속이 되게 될 교통 요충지이자 관광 조건을 구비하게 되면서 하루아침에 각광받는 지대가 되었고, 외부 기업과 온 씨 같은 외부인의 관심을 받게 된 곳이다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q30", "number": 30, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 11, "status": "correct", "answer": 3, "explanation": "㉢에서 허명두는 온 씨의 주장이 옳다고 인정할 뿐, 변화의 원인을 달리 보는 왜곡까지 드러내는 단락은 아니다. ③은 ㉢의 서술 기능을 과장해 부여했다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q31", "number": 31, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 12, "status": "correct", "answer": 2, "explanation": "(가)는 ‘여러 달 주리다가/여러 날 칩떨다가’, ‘음식은 장하건만/하나나 살로’, ‘가슴에 열/냉수’처럼 대구·대조를 함께 써 암행어사 화자의 괴로운 처지를 드러낸다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q32", "number": 32, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 12, "status": "incorrect", "answer": 5, "explanation": "㉤ ‘억지로 발 드리운들 그 누가 저어하리’는 아무도 말리지 못해 위엄을 세우기 어렵지 않다는 뜻이다. ‘세우기 어렵겠다’는 ⑤는 의미를 반대로 읽었다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q33", "number": 33, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 12, "status": "correct", "answer": 1, "explanation": "㉠ 방패연은 시름을 적어 하얀 실을 끝까지 풀어 멀리 띄워 보내 소멸시키려는 대상이다. ①이 이를 정확히 설명한다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-common-q34", "number": 34, "subject": "korean", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 12, "status": "incorrect", "answer": 2, "explanation": "‘큰 잔에 술을 부어 마지막 건승하자’는 사람이 잔을 들어 하는 마지막 건배이지, 연에 예를 갖추거나 연을 건승하는 행위가 아니다. ②는 (나)의 행위와 정서를 잘못 읽었다.", "abstain_reason": null, "time_seconds": 26.41258823529412, "usage": { "input_tokens": 3591.235294117647, "cached_input_tokens": 0, "cache_write_input_tokens": 3590.8823529411766, "output_tokens": 1002.0588235294117, "reasoning_output_tokens": 891.7647058823529 }, "estimated_cost_usd": 0.025804588235294117, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q35", "number": 35, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 13, "status": "correct", "answer": 2, "explanation": "발표에서는 풍혈지·애추 개념 설명, 수업 경험 환기, 질문·답변, 마무리 당부가 나타나지만 전문가 견해 인용은 없다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q36", "number": 36, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 13, "status": "correct", "answer": 5, "explanation": "자료 3은 풍혈지 북방계 식물 일부를 정리하고 희귀 식물 여부를 표시한 표이므로 ㉢에 해당한다. 자료 1·2에 대한 나머지 설명은 자료 내용이나 활용 위치와 맞지 않다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q37", "number": 37, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "학생 3은 발표 내용이 자신의 지리 보고서 작성에 도움이 될 것이라며 정보의 유용성을 평가하고 있다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q38", "number": 38, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "(나)에서도 학생 1이 학생 2·3에게 원인과 관점을 묻고 말해 보라며 발언을 요청하므로 ‘(가)와 달리’라는 대조가 성립하지 않는다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q39", "number": 39, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "㉡은 상대의 발언으로 새 사실을 알게 되었다는 뜻이 아니라, 방송에서 다루는 것을 보고 유행을 체감했다는 취지다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q40", "number": 40, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "학생 3은 전문가 2의 추가 수익 창출 발언을 근거로 긍정론을 펴고, (다)는 이를 바탕으로 부정적 관점을 반박한다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q41", "number": 41, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "(다)는 웹툰 영상화 유행의 영향을 영상 제작 측면과 웹툰 창작 측면으로 나누어 서술하고 두 산업의 수익성도 함께 다룬다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q42", "number": 42, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 15, "status": "correct", "answer": 4, "explanation": "수정문에는 ‘질 좋은 웹툰 창작’과 ‘창의적 각색’ 노력이 들어갔지만 이를 영상업계의 노력 추가라고 보기는 어렵다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q43", "number": 43, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 16, "status": "correct", "answer": 3, "explanation": "[A]에는 정서적 어려움인 불안, 완화 태도인 자기 수용, 긍정적 변화인 심리적 안정이 모두 드러나야 하므로 ③이 가장 적합하다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q44", "number": 44, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 16, "status": "correct", "answer": 2, "explanation": "초고는 개념, 일반적 특성, 특징, 청소년기에 흔한 이유, 완화 방법을 다루지만 장단점을 설명하지는 않는다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-hwajak-q45", "number": 45, "subject": "korean", "section": "hwajak", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 16, "status": "correct", "answer": 5, "explanation": "ㄱ-2와 ㄷ은 걷기가 불안 완화와 정서 조절에 도움 됨을 보여 주지만, 초고의 불안을 ‘정서 조절 실패에서 비롯된 것’으로 단정해 5문단을 보강하는 것은 적절하지 않다.", "abstain_reason": null, "time_seconds": 25.839727272727274, "usage": { "input_tokens": 3747.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3746.909090909091, "output_tokens": 946.5454545454545, "reasoning_output_tokens": 850 }, "estimated_cost_usd": 0.025441909090909095, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q35", "number": 35, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "본문은 한글 자모 24자가 각각 하나의 소리를 나타내는 것이 일반적이라고 했고, 두 소리의 연쇄는 24자 밖에서 어울러 쓴 합용 병서의 사례로 설명된다. 따라서 24자 중 자음자에 두 소리의 연쇄를 나타내는 것이 있다는 진술은 맞지 않다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q36", "number": 36, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 17, "status": "incorrect", "answer": 1, "explanation": "㉠은 ‘앗겨→아꺼’에서 ㅅ/ㄲ 및 뒤 음절 변화가 핵심이지, 15세기 ‘ㅕ’와 현대 ‘ㅕ’의 형식·내용이 모두 같은 사례로 볼 수 없다. 나머지 항목들은 자료의 대응 관계와 보기의 설명에 대체로 부합한다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q37", "number": 37, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 17, "status": "incorrect", "answer": 2, "explanation": "②는 ‘몇 장’의 수사적 관형 표현, ‘읽으시다/드셨다’의 선어말 어미 높임을 포함한다. 또한 ‘책을 읽으시다’는 둘 자리 서술어, ‘잠자리에 드셨다’는 하나 자리 서술어로 볼 수 있어 조건을 모두 만족한다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q38", "number": 38, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 18, "status": "incorrect", "answer": 2, "explanation": "㉡ ‘이번에’는 발화 시점과 동일한 시기를 가리키고, ㉣ ‘그때도’는 작년 사례처럼 발화 이전 시점을 가리킨다. ㉢ ‘거기’는 현재 담화 장소가 아니라 지난해 운동장을 가리키므로 ①은 틀린다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q39", "number": 39, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 18, "status": "incorrect", "answer": 4, "explanation": "㉢의 ‘친구랑’과 ‘미술관이랑’은 앞말 받침 유무에 따른 ‘랑/이랑’ 이형태 관계를 보이며, 문맥상 함께·대상 관계를 나타내 부사어적 기능과 연결된다. 다른 보기들은 사동·피동 또는 종결·연결 기능 구분이 정확하지 않다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q40", "number": 40, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "(나)는 말미의 우는 고양이 그림처럼 문자 정보를 보완하는 감정 관련 시각 이미지를 활용하지만, (가)는 안내 중심의 알림 메시지다. (가)에만 접근 방법이 있거나 둘 모두 게시 시각·수용자 반응이 있다는 진술은 맞지 않다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q41", "number": 41, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "‘동동’은 수령 기간을 10업무일 정도로 늘려 달라고 건의하겠다고 했지, 재신청 불가 기간 연장 계획을 밝힌 것은 아니다. 나머지 댓글들은 정보 수용, 질문·제안, 근거 제시, 부분 공감과 문제 지적의 양상에 부합한다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q42", "number": 42, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 19, "status": "correct", "answer": 5, "explanation": "카드 4의 달력 이미지는 ‘수신일+3업무일’이라는 수령 기간·날짜 계산을 설명하기 위한 것이지 수령 시간을 정확히 제시하는 장치가 아니다. 수령 시간은 도서관별 운영 시간을 확인해야 하는 별도 유의 사항에 가깝다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q43", "number": 43, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 19, "status": "correct", "answer": 2, "explanation": "ⓑ의 ‘아니겠어요?’는 글쓴이가 도착 문자의 의미를 추측해 되묻는 표현이지, 문자 발송 주체인 도서관이 응답을 요구하는 구조가 아니다. ㉠, ㉢, ㉣, ㉤은 각각 경험 전달, 시점 강조, 필요조건, 약속의 기능에 대체로 맞다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q44", "number": 44, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 20, "status": "correct", "answer": 4, "explanation": "혜정은 공유 화면을 아래로 내려 달라고 요청했을 뿐이고, 화면은 계속 ‘다겸(나) 님의 화면을 공유 중’이므로 다겸이 공유 권한을 넘긴 것은 아니다. 암호 오전달, 초대 링크 제공, 참여자 확인, 참여 수락에 대한 설명은 대화와 일치한다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-korean-language_media-q45", "number": 45, "subject": "korean", "section": "language_media", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 20, "status": "correct", "answer": 3, "explanation": "다겸은 공간 부족을 해결하려고 자세한 정보를 ‘더 보기’로 ‘새 창’에 제시하자고 했고, (나)도 ‘+더 보기(클릭) 새 창에서 확인’으로 되어 있다. 따라서 상세 내용을 아래로 펼치는 기능을 활용했다는 설명은 맞지 않다.", "abstain_reason": null, "time_seconds": 20.997636363636364, "usage": { "input_tokens": 3744.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3743.818181818182, "output_tokens": 746.7272727272727, "reasoning_output_tokens": 608.5454545454545 }, "estimated_cost_usd": 0.022435636363636366, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q01", "number": 1, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "9^(1/4)=3^(1/2)이므로 3^(1/2)×3^(-1/2)=3^0=1이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q02", "number": 2, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "주어진 극한은 f'(1)이다. f'(x)=9x²+4이므로 f'(1)=13이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q03", "number": 3, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "2Σa_k=Σk=1+2+3+4=10이므로 Σa_k=5이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q04", "number": 4, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "x=1에서 연속이려면 3(1)-2=1-3+a, 즉 1=a-2이므로 a=3이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q05", "number": 5, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "f(x)=2x³+3x²-4x-4로 전개하면 f'(x)=6x²+6x-4, f'(1)=8이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q06", "number": 6, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "b=a³이고 log₃b-log₃a=1/2에서 log₃a=1/4, log₃b=3/4. log₉ab=(1/4+3/4)/2=1/2이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q07", "number": 7, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "두 곡선은 (0,3)에서 만나고, 넓이=∫₀²(x²+3+x²/5-3)dx=∫₀²(6/5)x²dx=16/5이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q08", "number": 8, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "sinθ=-3cosθ이고 cos(π-θ)=-cosθ>0에서 cosθ<0. 10cos²θ=1이므로 sinθ=3/√10=3√10/10이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "f'(x)=3(x+3a)(x-a)이고 극값은 f(a)=-5a³+4, f(-3a)=27a³+4. 27a³+4=5에서 a=1/3이고 f(2)=8+4-2+4=14이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "점근선은 y=-2, AB=BC=2에서 a^t=4, A=(t,2), C=(t,-2). 삼각형 AOC 넓이 2t=8에서 t=4, a=√2. a×OB=4√2=2^(5/2)이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "ㄱ: ∫₀¹(t²+4)dt=13/3 참. ㄴ: k=3이면 판별식<0으로 v>0, 방향 불변 거짓. ㄷ: k=5이면 이동거리 11/6+7/6=3 참.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "correct", "answer": 2, "explanation": "a(1+r³+r⁶)=3, ar³(1+r³+r⁶)=6에서 r³=2, a=3/7. a₁₀=ar⁹=(3/7)·8=24/7이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "l: y=-2x-4, m: y=-4x+10, 교점 (7,-18), y축과의 절편 -4, 10. 넓이=(1/2)·14·7=49이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "CE=3, CG=2√6, EG=√6에서 삼각형 CEG의 외접원 반지름 R=4√15/5. ∠HCG=∠BAC(sin=4/5)이므로 GH=2Rsin∠BAC=32√15/25이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "h'(x)=g(x)-f(x)이고, a≤4일 때만 극값이 하나(x=a 또는 x=1)이므로 k=4. h(3)=1/6+10/3=7/2이므로 k+h(3)=15/2이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "a₂=1²·1+1=2, a₃=2²·2+1=9이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "F(x)=x⁴-x²+C이고 F(0)=4에서 C=4. F(2)=16-4+4=16이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "sin∠BAC=4/5이므로 넓이=(1/2)·5·6·(4/5)=12이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "p(x)=2x³+3x²-12x-8의 [-2,2]에서 최대 12, 최소 -15이므로 |p(x)|의 최대는 15, k의 최솟값은 15이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "correct", "answer": 130, "explanation": "(가)=n/3이고 2aₙ+aₙ₊₁=n. n=2 대입으로 a₂=10=p. 합은 7+10+(3+5+7+9+11)=52=q. pq/f(12)=520/4=130이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "correct", "answer": 65, "explanation": "(가)에서 f(0)=f(2)=0, 연속성에서 t=2이고 f(x)=cx(x-2)(x-r). 음수 극한을 갖는 자연수가 {2,3}이 되려면 r=11/3, c=3/14. g(-5)=-f(-5)=65이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q22", "number": 22, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 457, "source_page": 8, "status": "correct", "answer": 457, "explanation": "A=(63/4,7/4)는 16^(7/4)=128=8·63/4+2를 만족하고, B=(7/2,63/2)는 곡선 위에 있으며 A의 y=x 대칭점이 직선 OB(y=9x) 위에 있다. ab=441/16이므로 p+q=457이다.", "abstain_reason": null, "time_seconds": 35.34590909090909, "usage": { "input_tokens": 3710.909090909091, "cached_input_tokens": 0, "cache_write_input_tokens": 3710.3636363636365, "output_tokens": 1398.1363636363637, "reasoning_output_tokens": 1313.5 }, "estimated_cost_usd": 0.032104772727272725, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q23", "number": 23, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 9, "status": "correct", "answer": 3, "explanation": "중복을 허용해 4개의 문자로 길이 3의 순열을 만들므로 경우의 수는 4^3=64이다.", "abstain_reason": null, "time_seconds": 26.3845, "usage": { "input_tokens": 5139.5, "cached_input_tokens": 0, "cache_write_input_tokens": 5138, "output_tokens": 873.5, "reasoning_output_tokens": 762.25 }, "estimated_cost_usd": 0.028520999999999998, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q24", "number": 24, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "P(A∩B)=P(A)P(B|A)=2/5·1/4=1/10이고, P(A∪B)=P(A)+P(B)-P(A∩B)=1에서 P(B)=7/10이다.", "abstain_reason": null, "time_seconds": 26.3845, "usage": { "input_tokens": 5139.5, "cached_input_tokens": 0, "cache_write_input_tokens": 5138, "output_tokens": 873.5, "reasoning_output_tokens": 762.25 }, "estimated_cost_usd": 0.028520999999999998, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q25", "number": 25, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 10, "status": "correct", "answer": 2, "explanation": "같은 색인 경우는 C(5,2)+C(5,2)=20가지, 같은 수는 2~5의 흰·검 짝 4가지로 총 24가지이다. 전체 C(10,2)=45이므로 확률은 24/45=8/15이다.", "abstain_reason": null, "time_seconds": 26.3845, "usage": { "input_tokens": 5139.5, "cached_input_tokens": 0, "cache_write_input_tokens": 5138, "output_tokens": 873.5, "reasoning_output_tokens": 762.25 }, "estimated_cost_usd": 0.028520999999999998, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q26", "number": 26, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "신뢰구간 반폭은 2.58·5/√36=2.15이다. 하한이 1.2이므로 표본평균은 3.35, 상한 a는 3.35+2.15=5.5이다.", "abstain_reason": null, "time_seconds": 26.3845, "usage": { "input_tokens": 5139.5, "cached_input_tokens": 0, "cache_write_input_tokens": 5138, "output_tokens": 873.5, "reasoning_output_tokens": 762.25 }, "estimated_cost_usd": 0.028520999999999998, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q27", "number": 27, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 11, "status": "correct", "answer": 4, "explanation": "x=0~3의 확률 합은 10/12이므로 a=1/6이다. E(X)=5/2, E(X^2)=15/2라서 V(X)=5/4이고 V(X/a)=36·5/4=45이다.", "abstain_reason": null, "time_seconds": 26.3845, "usage": { "input_tokens": 5139.5, "cached_input_tokens": 0, "cache_write_input_tokens": 5138, "output_tokens": 873.5, "reasoning_output_tokens": 762.25 }, "estimated_cost_usd": 0.028520999999999998, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q28", "number": 28, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 11, "status": "correct", "answer": 2, "explanation": "각 시행을 (합의 홀짝, 상자3−상자2 증가량)으로 보면 홀수 눈은 (홀,+1), 4는 (홀,−1), 2는 (짝,−1), 6은 (짝,0)이다. 총합이 홀수인 조건에서 차이가 1이 되는 확률을 계산하면 3/16이다.", "abstain_reason": null, "time_seconds": 26.3845, "usage": { "input_tokens": 5139.5, "cached_input_tokens": 0, "cache_write_input_tokens": 5138, "output_tokens": 873.5, "reasoning_output_tokens": 762.25 }, "estimated_cost_usd": 0.028520999999999998, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q29", "number": 29, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 977, "source_page": 12, "status": "correct", "answer": 977, "explanation": "한 번 시행에서 기록이 3일 확률은 (a/6)(5/16)+((6-a)/6)(1/8)=(a+4)/32이다. E(X)=19200p=4800에서 p=1/4, a=4이고 X는 근사적으로 N(4800,60^2)이다. P(X≤4920)=P(Z≤2)=0.977이므로 1000k=977이다.", "abstain_reason": null, "time_seconds": 26.3845, "usage": { "input_tokens": 5139.5, "cached_input_tokens": 0, "cache_write_input_tokens": 5138, "output_tokens": 873.5, "reasoning_output_tokens": 762.25 }, "estimated_cost_usd": 0.028520999999999998, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q30", "number": 30, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 262, "source_page": 12, "status": "correct", "answer": 262, "explanation": "공 8개를 각 주머니 2개 이하로 넣을 때 (가)에 의해 (2개 주머니 수,1개 주머니 수)는 (2,4) 또는 (1,6)이다. (나)의 이웃 금지 조건을 반영해 세면 (2,4)는 150가지, (1,6)은 112가지로 총 262가지이다.", "abstain_reason": null, "time_seconds": 26.3845, "usage": { "input_tokens": 5139.5, "cached_input_tokens": 0, "cache_write_input_tokens": 5138, "output_tokens": 873.5, "reasoning_output_tokens": 762.25 }, "estimated_cost_usd": 0.028520999999999998, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q23", "number": 23, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "x→0에서 tan6x∼6x이므로 tan6x/(2x)→6x/(2x)=3이다.", "abstain_reason": null, "time_seconds": 83.72575, "usage": { "input_tokens": 5140.75, "cached_input_tokens": 0, "cache_write_input_tokens": 5139.25, "output_tokens": 2899.375, "reasoning_output_tokens": 2796.375 }, "estimated_cost_usd": 0.058912874999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q24", "number": 24, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 13, "status": "correct", "answer": 4, "explanation": "sinx−sin^3x=sinx cos^2x이고 구간에서 cosx≥0이라 피적분함수는 √sinx cosx이다. u=sinx 치환하면 ∫0^1 u^{1/2}du=2/3이다.", "abstain_reason": null, "time_seconds": 83.72575, "usage": { "input_tokens": 5140.75, "cached_input_tokens": 0, "cache_write_input_tokens": 5139.25, "output_tokens": 2899.375, "reasoning_output_tokens": 2796.375 }, "estimated_cost_usd": 0.058912874999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q25", "number": 25, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 14, "status": "correct", "answer": 3, "explanation": "양쪽 경계를 n으로 나누면 모두 5로 수렴하므로 a_n/n→5이다. 따라서 식은 25n^2/(5n^2+5n^2) 꼴로 수렴해 5/2이다.", "abstain_reason": null, "time_seconds": 83.72575, "usage": { "input_tokens": 5140.75, "cached_input_tokens": 0, "cache_write_input_tokens": 5139.25, "output_tokens": 2899.375, "reasoning_output_tokens": 2796.375 }, "estimated_cost_usd": 0.058912874999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q26", "number": 26, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "단면 정삼각형 넓이는 (√3/4)y^2이고 y^2=x+xlnx이다. ∫1^2(x+xlnx)dx=3/4+2ln2이므로 부피는 √3(3+8ln2)/16이다.", "abstain_reason": null, "time_seconds": 83.72575, "usage": { "input_tokens": 5140.75, "cached_input_tokens": 0, "cache_write_input_tokens": 5139.25, "output_tokens": 2899.375, "reasoning_output_tokens": 2796.375 }, "estimated_cost_usd": 0.058912874999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q27", "number": 27, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "삼각함수를 cos2πt로 정리해 직선 조건에 대입하면 t=1/4가 나온다. 이때 dx/dt=e(π+6), dy/dt=e(3π−2)라 기울기는 (3π−2)/(π+6)이다.", "abstain_reason": null, "time_seconds": 83.72575, "usage": { "input_tokens": 5140.75, "cached_input_tokens": 0, "cache_write_input_tokens": 5139.25, "output_tokens": 2899.375, "reasoning_output_tokens": 2796.375 }, "estimated_cost_usd": 0.058912874999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q28", "number": 28, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "f'(x)=x^2/(1+x)라 t=s f'(s)=s^3/(1+s)이며, 적분구간은 s=1에서 s=3에 대응한다. 역함수 적분으로 계산하면 157/12+ln2가 된다.", "abstain_reason": null, "time_seconds": 83.72575, "usage": { "input_tokens": 5140.75, "cached_input_tokens": 0, "cache_write_input_tokens": 5139.25, "output_tokens": 2899.375, "reasoning_output_tokens": 2796.375 }, "estimated_cost_usd": 0.058912874999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q29", "number": 29, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 97, "source_page": 16, "status": "correct", "answer": 97, "explanation": "a_1=d로 두면 b_{k+i}가 등비라는 조건에서 a_1=1/4가 나오고, 이때 1/a_i−1은 3,1,1/3이라 공비는 1/3이다. 부등식은 k=2를 결정하고 a_2∑b_{2n}=81/16이므로 p+q=97이다.", "abstain_reason": null, "time_seconds": 83.72575, "usage": { "input_tokens": 5140.75, "cached_input_tokens": 0, "cache_write_input_tokens": 5139.25, "output_tokens": 2899.375, "reasoning_output_tokens": 2796.375 }, "estimated_cost_usd": 0.058912874999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q30", "number": 30, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 11, "source_page": 16, "status": "correct", "answer": 11, "explanation": "꼬리는 로그함수라 m≤0이면 교점 1개, 0 0$에서 $\\cos\\theta < 0, \\sin\\theta > 0$이므로 $\\sin\\theta = \\frac{3\\sqrt{10}}{10}$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q09", "number": 9, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 3, "status": "correct", "answer": 4, "explanation": "$f'(x)=3(x+3a)(x-a)$이고 $a>0$일 때 $f(a)=-5a^3+4<5$이므로 극댓값 $f(-3a)=27a^3+4=5$에서 $a=\\frac{1}{3}$이며, $f(2)=14$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q10", "number": 10, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "점 $\\mathrm{A}$의 $x$좌표를 $t$라 하면 $\\overline{\\mathrm{AB}}=\\overline{\\mathrm{BC}}=2$에서 $a^t-2=2$, 즉 $a^t=4$이고, 삼각형 $\\mathrm{AOC}$의 넓이 $\\frac{1}{2}\\times 4\\times t=8$에서 $t=4, a=2^{\\frac{1}{2}}$이므로 $a\\times\\overline{\\mathrm{OB}}=2^{\\frac{5}{2}}$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q11", "number": 11, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "ㄱ은 $\\int_0^1 (t^2+4)dt = \\frac{13}{3}$으로 참, ㄴ은 $t^2-3t+4>0$이므로 거짓, ㄷ은 $\\int_0^1 (t^2-5t+4)dt - \\int_1^2 (t^2-5t+4)dt = 3$으로 참이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q12", "number": 12, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 4, "status": "correct", "answer": 2, "explanation": "공비를 $r$이라 하면 $r^3=2$이고 $a_1(1+r^3+r^6)=7a_1=3$에서 $a_1=\\frac{3}{7}$이므로 $a_{10}=a_1 r^9 = \\frac{24}{7}$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q13", "number": 13, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "접선 $l: y=-2x-4$와 접선 $m: y=-4x+10$의 교점은 $(7, -18)$이고 $y$절편의 차가 $14$이므로 구하는 넓이는 $\\frac{1}{2}\\times 14\\times 7 = 49$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q14", "number": 14, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 5, "status": "correct", "answer": 4, "explanation": "삼각형 $\\mathrm{AGC}$에서 코사인법칙으로 $\\cos(\\angle\\mathrm{ACG})=\\frac{3\\sqrt{6}}{8}$을 구하면 삼각형 $\\mathrm{CEG}$에서 $\\overline{\\mathrm{EG}}=\\sqrt{6}$이고, 외접원에서 사인법칙을 적용하면 $\\overline{\\mathrm{GH}}=\\frac{\\overline{\\mathrm{EG}}}{\\sin(\\angle\\mathrm{ECG})}\\sin(\\angle\\mathrm{BAC})=\\frac{32\\sqrt{15}}{25}$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q15", "number": 15, "subject": "math", "section": "common", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "$h'(x)=g(x)-f(x)$의 부호 변화가 오직 한 번만 일어나려면 $x<-1$에서 $x^2+ax+a\\ge 0$이어야 하므로 $a\\le 4$에서 $k=4$이고, $h(3)=\\frac{7}{2}$이므로 $k+h(3)=\\frac{15}{2}$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q16", "number": 16, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 9, "source_page": 6, "status": "correct", "answer": 9, "explanation": "$a_2 = 1^2\\times 1 + 1 = 2$이고 $a_3 = 2^2\\times 2 + 1 = 9$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q17", "number": 17, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 16, "source_page": 6, "status": "correct", "answer": 16, "explanation": "$F(x)=x^4-x^2+4$이므로 $F(2)=16-4+4=16$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q18", "number": 18, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 12, "source_page": 7, "status": "correct", "answer": 12, "explanation": "$\\sin(\\angle\\mathrm{BAC})=\\frac{4}{5}$이므로 삼각형 $\\mathrm{ABC}$의 넓이는 $\\frac{1}{2}\\times 5\\times 6\\times \\frac{4}{5} = 12$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q19", "number": 19, "subject": "math", "section": "common", "kind": "short_answer", "points": 3, "correct_answer": 15, "source_page": 7, "status": "correct", "answer": 15, "explanation": "$f(x)=2x^3+3x^2-12x-8$의 닫힌구간 $[-2, 2]$에서의 최댓값은 $f(-2)=12$, 최솟값은 $f(1)=-15$이므로 양수 $k$의 최솟값은 $15$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q20", "number": 20, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 130, "source_page": 7, "status": "correct", "answer": 130, "explanation": "(가)는 $f(n)=\\frac{1}{3}n$, (나)는 $p=10$, (다)는 $q=17+\\sum_{k=1}^5(2k+1)=52$이므로 $\\frac{p\\times q}{f(12)}=\\frac{520}{4}=130$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q21", "number": 21, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 65, "source_page": 8, "status": "correct", "answer": 65, "explanation": "조건 (가), (나)로부터 $f(x)=kx(x-2)(x-r)$이고 $t=2$, 자연수 $m$의 집합은 $\\{2, 3\\}$이므로 $3k(r+1)=3, \\frac{7}{2}k(r-1)=2$에서 $r=\\frac{11}{3}, k=\\frac{3}{14}$을 얻어 $g(-5)=-f(-5)=65$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-common-q22", "number": 22, "subject": "math", "section": "common", "kind": "short_answer", "points": 4, "correct_answer": 457, "source_page": 8, "status": "correct", "answer": 457, "explanation": "$b=\\log_{16}(8a+2)$에서 $2a=4^{2b-1}-\\frac{1}{2}$이므로 $\\mathrm{B}(2b, 2a)$이고, 중점 조건에서 $a=\\frac{63}{4}, b=\\frac{7}{4}$이므로 $a\\times b=\\frac{441}{16}$에서 $p+q=457$이다.", "abstain_reason": null, "time_seconds": 7.6635, "usage": { "input_tokens": 475.72727272727275, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 109.45454545454545, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.0020459999999999996, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q23", "number": 23, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 9, "status": "correct", "answer": 3, "explanation": "서로 다른 4개의 문자에서 중복을 허락하여 3개를 택해 일렬로 나열하는 중복순열의 수는 $_4\\Pi_3 = 4^3 = 64$이다.", "abstain_reason": null, "time_seconds": 17.095125, "usage": { "input_tokens": 680, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 178.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00314875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q24", "number": 24, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 9, "status": "correct", "answer": 1, "explanation": "$\\mathrm{P}(A \\cap B) = \\mathrm{P}(A)\\mathrm{P}(B|A) = \\frac{2}{5} \\times \\frac{1}{4} = \\frac{1}{10}$이므로, $\\mathrm{P}(A \\cup B) = \\mathrm{P}(A) + \\mathrm{P}(B) - \\mathrm{P}(A \\cap B) = 1$에서 $\\mathrm{P}(B) = 1 - \\frac{2}{5} + \\frac{1}{10} = \\frac{7}{10}$이다.", "abstain_reason": null, "time_seconds": 17.095125, "usage": { "input_tokens": 680, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 178.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00314875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q25", "number": 25, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 10, "status": "correct", "answer": 2, "explanation": "전체 경우의 수는 $_{10}\\mathrm{C}_2 = 45$이다. 같은 색의 공 2개를 꺼내는 경우의 수는 $_5\\mathrm{C}_2 + _5\\mathrm{C}_2 = 20$이고, 같은 숫자가 적힌 공 2개를 꺼내는 경우의 수는 공통 숫자 $2, 3, 4, 5$에 대하여 $4$가지이므로 구하는 확률은 $\\frac{20+4}{45} = \\frac{8}{15}$이다.", "abstain_reason": null, "time_seconds": 17.095125, "usage": { "input_tokens": 680, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 178.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00314875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q26", "number": 26, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 10, "status": "correct", "answer": 5, "explanation": "신뢰도 $99\\%$의 신뢰구간의 길이는 $2 \\times 2.58 \\times \\frac{\\sigma}{\\sqrt{n}} = 2 \\times 2.58 \\times \\frac{5}{6} = 4.3$이다. 따라서 $a - 1.2 = 4.3$이므로 $a = 5.5$이다.", "abstain_reason": null, "time_seconds": 17.095125, "usage": { "input_tokens": 680, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 178.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00314875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q27", "number": 27, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 11, "status": "correct", "answer": 4, "explanation": "확률의 총합이 $1$이므로 $\\frac{1+1+3+5}{12} + a = 1$에서 $a = \\frac{1}{6}$이다. $\\mathrm{E}(X) = \\frac{5}{2}$, $\\mathrm{E}(X^2) = \\frac{15}{2}$에서 $\\mathrm{V}(X) = \\frac{5}{4}$이므로 $\\mathrm{V}\\left(\\frac{1}{a}X\\right) = 36\\mathrm{V}(X) = 45$이다.", "abstain_reason": null, "time_seconds": 17.095125, "usage": { "input_tokens": 680, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 178.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00314875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q28", "number": 28, "subject": "math", "section": "probability", "kind": "multiple_choice", "points": 4, "correct_answer": 2, "source_page": 11, "status": "correct", "answer": 2, "explanation": "한 번의 시행에서 넣는 공의 개수가 홀수인 사건은 $k \\in \\{1, 3, 4, 5\\}$(4가지)이고 짝수인 사건은 $k \\in \\{2, 6\\}$(2가지)이므로, 4번 시행 후 공의 총합이 홀수인 경우의 수는 $\\binom{4}{1}\\cdot 4^1\\cdot 2^3 + \\binom{4}{3}\\cdot 4^3\\cdot 2^1 = 640$이다. 이 중 3번 상자와 2번 상자의 공의 개수 차의 변화량($k \\in \\{1,3,5\\}$일 때 $+1$, $k \\in \\{2,4\\}$일 때 $-1$, $k=6$일 때 $0$)의 합이 $1$이 되는 경우의 수는 $12 + 108 = 120$이므로 구하는 조건부확률은 $\\frac{120}{640} = \\frac{3}{16}$이다.", "abstain_reason": null, "time_seconds": 17.095125, "usage": { "input_tokens": 680, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 178.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00314875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q29", "number": 29, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 977, "source_page": 12, "status": "correct", "answer": 977, "explanation": "한 번의 시행에서 3이 기록될 확률은 $p = \\frac{a}{6}\\binom{5}{3}\\left(\\frac{1}{2}\\right)^5 + \\frac{6-a}{6}\\binom{3}{3}\\left(\\frac{1}{2}\\right)^3 = \\frac{a+4}{32}$이다. $\\mathrm{E}(X) = 19200p = 4800$에서 $p = \\frac{1}{4}$이므로 $a = 4$이고, $\\sigma(X) = 60$이므로 $\\mathrm{P}(X \\le 4800 + 120) = \\mathrm{P}(Z \\le 2.0) = 0.5 + 0.477 = 0.977$에서 $1000k = 977$이다.", "abstain_reason": null, "time_seconds": 17.095125, "usage": { "input_tokens": 680, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 178.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00314875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-probability-q30", "number": 30, "subject": "math", "section": "probability", "kind": "short_answer", "points": 4, "correct_answer": 262, "source_page": 12, "status": "correct", "answer": 262, "explanation": "공이 $0, 1, 2$개 들어 있는 주머니의 개수를 각각 $n_0, n_1, n_2$라 하면 $(n_0, n_1, n_2)$는 $(4, 4, 2)$ 또는 $(3, 6, 1)$이다. $(4, 4, 2)$일 때 공이 2개인 두 주머니의 위치에 따라 이웃한 빈 주머니를 배치하고 나머지 자리에 배치하는 경우의 수는 $150$이고, $(3, 6, 1)$일 때의 경우의 수는 $2 \\times \\binom{8}{6} + 8 \\times \\binom{7}{6} = 112$이므로 총 $150 + 112 = 262$이다.", "abstain_reason": null, "time_seconds": 17.095125, "usage": { "input_tokens": 680, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 178.875, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00314875, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q23", "number": 23, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 13, "status": "correct", "answer": 3, "explanation": "$\\lim_{x \\to 0} \\frac{\\tan 6x}{2x} = 3 \\lim_{x \\to 0} \\frac{\\tan 6x}{6x} = 3$이므로 정답은 3번입니다.", "abstain_reason": null, "time_seconds": 19.012125, "usage": { "input_tokens": 679.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 130.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00266675, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q24", "number": 24, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 13, "status": "correct", "answer": 4, "explanation": "구간 $[0, \\frac{\\pi}{2}]$에서 $\\sqrt{\\sin x - \\sin^3 x} = \\sqrt{\\sin x}\\cos x$이고, $t = \\sin x$로 치환하면 $\\int_0^1 \\sqrt{t}\\,dt = \\frac{2}{3}$이므로 정답은 4번입니다.", "abstain_reason": null, "time_seconds": 19.012125, "usage": { "input_tokens": 679.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 130.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00266675, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q25", "number": 25, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 14, "status": "correct", "answer": 3, "explanation": "주어진 부등식의 각 변을 $n$으로 나누고 극한을 취하면 $\\lim_{n \\to \\infty} \\frac{a_n}{n} = 5$이므로, 구하는 극한값은 $\\frac{5^2}{5+5} = \\frac{5}{2}$입니다.", "abstain_reason": null, "time_seconds": 19.012125, "usage": { "input_tokens": 679.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 130.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00266675, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q26", "number": 26, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 14, "status": "correct", "answer": 1, "explanation": "단면인 정삼각형의 넓이는 $S(x) = \\frac{\\sqrt{3}}{4}(x + x\\ln x)$이므로 부피는 $\\frac{\\sqrt{3}}{4}\\int_1^2 (x + x\\ln x)\\,dx = \\frac{\\sqrt{3}(3+8\\ln 2)}{16}$입니다.", "abstain_reason": null, "time_seconds": 19.012125, "usage": { "input_tokens": 679.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 130.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00266675, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q27", "number": 27, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 15, "status": "correct", "answer": 2, "explanation": "$3x - y = 5e^{4t} = 5e$에서 교점 P에 대응하는 매개변수는 $t = \\frac{1}{4}$이고, $t = \\frac{1}{4}$에서 $\\frac{dy}{dx} = \\frac{dy/dt}{dx/dt} = \\frac{3\\pi - 2}{\\pi + 6}$입니다.", "abstain_reason": null, "time_seconds": 19.012125, "usage": { "input_tokens": 679.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 130.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00266675, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q28", "number": 28, "subject": "math", "section": "calculus", "kind": "multiple_choice", "points": 4, "correct_answer": 5, "source_page": 15, "status": "correct", "answer": 5, "explanation": "$f'(s) = \\frac{s^2}{1+s}$로부터 $t = s f'(s) = \\frac{s^3}{1+s}$이며, $s=g(t)$에 대하여 부분적분법을 이용하면 $\\int_{1/2}^{27/4} g(t)\\,dt = \\left[s t\\right]_1^3 - \\int_1^3 \\frac{s^3}{1+s}\\,ds = \\frac{157}{12} + \\ln 2$입니다.", "abstain_reason": null, "time_seconds": 19.012125, "usage": { "input_tokens": 679.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 130.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00266675, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q29", "number": 29, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 97, "source_page": 16, "status": "correct", "answer": 97, "explanation": "등비중항 조건에서 $a_1 = d = \\frac{1}{4}$ 및 공비 $r = \\frac{1}{3}$을 얻고, 급수 부등식 $0 < \\frac{3^{k+2}}{2} - 16 < 30$에서 $k=2$가 되어 $a_2 \\sum_{n=1}^{\\infty} b_{2n} = \\frac{1}{2} \\times \\frac{81}{8} = \\frac{81}{16}$이므로 $p+q=97$입니다.", "abstain_reason": null, "time_seconds": 19.012125, "usage": { "input_tokens": 679.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 130.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00266675, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-calculus-q30", "number": 30, "subject": "math", "section": "calculus", "kind": "short_answer", "points": 4, "correct_answer": 11, "source_page": 16, "status": "correct", "answer": 11, "explanation": "$h(y)=f^{-1}(y)$에 대하여 $m = \\frac{y}{h(y)-1}$의 그래프 개형을 조사하면 불연속점은 $a=0$과 $y_1<-1$에서의 극댓값 $b$이고, $g(0)=1, \\lim_{m \\to 0+} g(m)=3, g(b)=2$ 및 $\\frac{\\ln b}{b}=-2$이므로 구하는 값은 $1 \\times 3 + 2 \\times 4 = 11$입니다.", "abstain_reason": null, "time_seconds": 19.012125, "usage": { "input_tokens": 679.625, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 130.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00266675, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q23", "number": 23, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 17, "status": "correct", "answer": 3, "explanation": "$\\vec{a}+\\vec{b}=(4-1, 1-1)=(3, 0)$이므로 모든 성분의 합은 $3+0=3$이다.", "abstain_reason": null, "time_seconds": 19.747625, "usage": { "input_tokens": 680.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 153.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00289775, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q24", "number": 24, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 1, "source_page": 17, "status": "correct", "answer": 1, "explanation": "포물선 $y^2=12(x-2)$는 $y^2=4px$($p=3$)를 평행이동한 것이므로 초점과 준선 사이의 거리는 $2p=6$이다.", "abstain_reason": null, "time_seconds": 19.747625, "usage": { "input_tokens": 680.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 153.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00289775, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q25", "number": 25, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 18, "status": "correct", "answer": 5, "explanation": "$B(-3, -\\frac{3}{2}, -2)$, $C(-3, \\frac{3}{2}, 2)$이므로 선분 $BC$의 길이는 $\\sqrt{0^2+3^2+4^2}=5$이다.", "abstain_reason": null, "time_seconds": 19.747625, "usage": { "input_tokens": 680.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 153.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00289775, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q26", "number": 26, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 18, "status": "correct", "answer": 2, "explanation": "초점은 $F(0, \\sqrt{2}a), F'(0, -\\sqrt{2}a)$이고 접선 $x-\\sqrt{2}y=-a$의 $y$절편은 $P(0, \\frac{a}{\\sqrt{2}})$이다. $\\overline{PF}\\times\\overline{PF'}=\\frac{a}{\\sqrt{2}}\\times\\frac{3a}{\\sqrt{2}}=\\frac{3}{2}a^2=8$에서 $a=\\frac{4\\sqrt{3}}{3}$이다.", "abstain_reason": null, "time_seconds": 19.747625, "usage": { "input_tokens": 680.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 153.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00289775, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q27", "number": 27, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 3, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "선분 $AB$는 원 $C_1$의 지름이고 점 $H$에서 직선 $AB$까지의 거리는 $\\sqrt{(\\frac{5}{2})^2-(\\frac{3}{2})^2}=2$이므로 삼각형 $ABH$의 넓이는 $5$이다. 등변사다리꼴 $ABCD$의 높이는 $\\sqrt{2^2+h^2}$이고 넓이가 $\\frac{5+3}{2}\\sqrt{4+h^2}=20$이므로 원기둥의 높이 $h=\\sqrt{21}$이다.", "abstain_reason": null, "time_seconds": 19.747625, "usage": { "input_tokens": 680.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 153.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00289775, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q28", "number": 28, "subject": "math", "section": "geometry", "kind": "multiple_choice", "points": 4, "correct_answer": 4, "source_page": 19, "status": "correct", "answer": 4, "explanation": "직선 $CD$는 평면 $ABH$에 수직이고 $\\triangle ABH$는 한 변의 길이가 $4$인 정삼각형이므로 구 $S$의 반지름은 $\\frac{2}{\\sqrt{3}}$, $\\overline{AG}=\\frac{4}{\\sqrt{3}}$가 되어 도형 $T$는 반지름이 $1$이고 평면 $BCD$에 평행한 원이다. 평면 $ABC$와 평면 $BCD$가 이루는 각 $\\theta$에 대하여 $\\cos\\theta=\\frac{1}{4}$이므로 정사영의 넓이는 $\\frac{\\pi}{4}$이다.", "abstain_reason": null, "time_seconds": 19.747625, "usage": { "input_tokens": 680.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 153.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00289775, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q29", "number": 29, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 360, "source_page": 20, "status": "correct", "answer": 360, "explanation": "타원의 대칭축은 선분 $AH$의 수직이등분선이므로 타원의 장축의 길이는 $2a=3p-x_A$이고, $\\triangle AHB$의 둘레의 길이는 $\\overline{AH}+2a=(x_A+p)+(3p-x_A)=4p=p+27$에서 $p=9$이다. 넓이 조건 $\\frac{1}{2}(x_A+9)y_A=30$과 $y_A^2=36x_A$로부터 $A(1, 6), H(-9, 6), F(9, 0)$을 얻으므로 $k^2=\\overline{HF}^2=18^2+6^2=360$이다.", "abstain_reason": null, "time_seconds": 19.747625, "usage": { "input_tokens": 680.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 153.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00289775, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-math-geometry-q30", "number": 30, "subject": "math", "section": "geometry", "kind": "short_answer", "points": 4, "correct_answer": 221, "source_page": 20, "status": "correct", "answer": 221, "explanation": "원 위의 점 $P, Q$에 대하여 $(\\overrightarrow{PA}+\\overrightarrow{PB})\\cdot\\overrightarrow{PQ}=2\\overrightarrow{PO}\\cdot\\overrightarrow{PQ}=|\\overrightarrow{PQ}|^2$이고 $\\overrightarrow{PA}\\perp\\overrightarrow{PB}$이므로 주어진 식에서 $|\\overrightarrow{PQ}|=|\\overrightarrow{PB}|=14$이다. $P(0,0), B(14,0), A(0,2)$로 두면 원 $x^2+y^2-14x-2y=0$과 $x^2+y^2=196$의 교점 $Q$의 $y$좌표는 $\\frac{98}{25}$이므로 $|\\overrightarrow{PA}\\cdot\\overrightarrow{QB}|=2y=\\frac{196}{25}$이고 $p+q=221$이다.", "abstain_reason": null, "time_seconds": 19.747625, "usage": { "input_tokens": 680.125, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 153.75, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00289775, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q01", "number": 1, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 1, "status": "correct", "answer": 3, "explanation": "남자는 숙면을 돕는 다양한 기능을 제공하는 앱 'Nightly Journey'를 소개하며 사용해 볼 것을 권하고 있다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q02", "number": 2, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "여자는 실내 암벽 등반이 전략적 사고와 계획 수정을 통해 문제 해결 능력을 향상하는 데 도움이 된다고 말하고 있다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q03", "number": 3, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "남자는 중요한 면접이나 발표를 앞두고 불안할 때 큰 포즈를 취하면 불안감을 완화할 수 있다고 조언하고 있다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q04", "number": 4, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "대화에서는 테이블 주위에 의자가 세 개(three chairs around the table) 있다고 했으나 그림에는 의자가 두 개만 있다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q05", "number": 5, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "남자가 파이를 더 만들기 위한 재료 배송 확인을 잊지 말라고 하자 여자가 오늘 오후에 하겠다고 답했다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q06", "number": 6, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "중형 전기 히터 1개($70)와 가죽 슬리퍼 2켤레($10×2=$20)를 구매하고 할인 쿠폰은 유효기간이 지나 사용할 수 없으므로 총 지불 금액은 $90이다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q07", "number": 7, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "여자는 모임 시간과 겹치는 이른 비즈니스 미팅이 있어서(have an early business meeting that overlaps with the tea club) 참석할 수 없다고 했다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q08", "number": 8, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 1, "status": "correct", "answer": 5, "explanation": "행사의 장소(Pinenut Park), 날짜(11월 22일 토요일), 상품($100 상당 기프트 카드), 신청 방법(웹사이트 온라인 등록)은 언급되었으나 후원 기관은 언급되지 않았다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q09", "number": 9, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "개인이 아니라 팀 단위로 신청해야 한다(must apply as a team, not as an individual)고 했으므로 ④는 내용과 일치하지 않는다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q10", "number": 10, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 1, "status": "correct", "answer": 4, "explanation": "$10 이하이고, 나무 손잡이가 아니며, 최소 3개 이상의 나이프가 들어 있고, 선물 상자가 없는 세트를 골랐으므로 D(④)가 정답이다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q11", "number": 11, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 1, "status": "correct", "answer": 1, "explanation": "차로 10분 뒤에 도착하니 그때까지 딸을 봐줄 수 있냐는 여자의 요청에 대해 승낙하며 운전 조심하라고 답하는 ①이 가장 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q12", "number": 12, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 1, "status": "correct", "answer": 2, "explanation": "직행버스가 있는 곳을 고르겠다는 여자에게 남자가 Rosemary 놀이공원만 직행버스가 있다고 알려주었으므로, 그곳을 선택하겠다고 답하는 ②가 가장 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q13", "number": 13, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "의자 조립을 거의 다 해서 전체 키트는 필요 없고 손상된 다리 부품만 필요하다는 여자의 말에 교체 부품을 바로 보내주겠다고 답하는 ②가 가장 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q14", "number": 14, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "아이와 함께 식사를 준비하면 식습관이 개선되니 이번 주말에 해보라는 남자의 조언에 좋은 생각이라며 딸이 다양한 음식을 먹어보게 되면 좋겠다고 답하는 ③이 가장 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q15", "number": 15, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 2, "status": "correct", "answer": 3, "explanation": "Olivia는 인터넷만으로는 필요한 정보를 다 얻을 수 없어 자전거를 타고 직접 각 유적지에 가보자고 제안하려 하므로 ③이 가장 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q16", "number": 16, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "여자는 성장 속도가 빨라 과학 실험에 사용하기 적합한 식물들(대나무, 상추, 해바라기, 완두콩)에 대해 설명하고 있다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q17", "number": 17, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 2, "status": "correct", "answer": 5, "explanation": "대나무(bamboo), 상추(lettuce), 해바라기(sunflowers), 완두콩(peas)은 언급되었으나 옥수수(corn)는 언급되지 않았다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q18", "number": 18, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "학교 동아리 수를 확대하기로 결정함에 따라 학생들에게 만들고 싶은 신규 동아리 개설 제안서를 제출할 것을 독려하는 글이다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q19", "number": 19, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 2, "status": "correct", "answer": 1, "explanation": "마을이 많이 변해 어느 길로 갈지 몰라 당황하다가(confused) 마침내 어린 시절 자란 집을 찾고 밝게 미소 지으며 기뻐하는(pleased) 심경 변화가 드러난다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q20", "number": 20, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 2, "status": "correct", "answer": 2, "explanation": "현대 음악 작사가들이 가사를 통해 언어 발전과 현대 문학에 기여한 바가 문학 분야에서 인정받아야 한다고 주장하고 있다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q21", "number": 21, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "디지털 플랫폼을 통해 업무와 특정 장소 간의 유대가 끊어지고 지리적으로 떨어져 있는 곳에서도 업무가 가능해졌다는 내용이므로 비즈니스 수행의 공간적 유연성을 높였다는 ②가 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q22", "number": 22, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 3, "status": "correct", "answer": 1, "explanation": "스포츠 생태계에서는 협력과 경쟁을 동시에 추구하는 코피티션(coopetition)이 존재하므로 두 활동 사이에 균형 잡힌 접근이 필요하다는 내용이다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q23", "number": 23, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 3, "status": "correct", "answer": 3, "explanation": "대중교통에서는 배차 간격(빈도, frequency)이 뒷받침되지 않으면 대기 시간 때문에 속도의 이점이 사라지므로 빈도를 중시해야 한다는 내용이다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q24", "number": 24, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 3, "status": "correct", "answer": 2, "explanation": "문화와 엔터테인먼트가 결합된 '컬처테인먼트'가 가져오는 경제적 이익과 상업화로 인해 본래의 메시지를 잃는 위험 사이의 균형을 다루고 있으므로 ②가 제목으로 가장 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q25", "number": 25, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "Less Often 범주에서 이메일(43%)은 네 가지 의사소통 유형 중 두 번째로 높은 것이 아니라 가장 높은 비율을 차지했다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q26", "number": 26, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 4, "status": "correct", "answer": 3, "explanation": "1952년에 Borden Award를 받았고 그로부터 1년 뒤(a year later, 1953년)에 Morrison Award를 수상했으므로 ③은 글의 내용과 일치하지 않는다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q27", "number": 27, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "학생 투표를 통해 네 개가 아니라 세 개의 학교 종소리가 선택된다(Three school bell sounds will be selected)고 명시되어 있다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q28", "number": 28, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 4, "status": "correct", "answer": 4, "explanation": "안내문의 Purchase Details에서 패스는 온라인으로만 구매할 수 있다(The pass can be purchased only online)고 했으므로 ④가 일치한다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q29", "number": 29, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 2, "source_page": 5, "status": "correct", "answer": 2, "explanation": "주어인 'The package'에 연결되는 문장의 본동사가 필요하므로 현재분사 'being'을 본동사 'is'로 고쳐야 한다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q30", "number": 30, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "선수들과 코치들이 경쟁 우위를 '포기하기(abandon)' 위해서가 아니라 '얻기(gain/secure)' 위해 반칙을 들키지 않고 넘어가려 한다는 문맥이 되어야 하므로 ⑤가 부적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q31", "number": 31, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 1, "source_page": 5, "status": "correct", "answer": 1, "explanation": "잉여 생산 지역과 식량 부족 지역의 수요와 공급 상태를 아는 것이 초기 곡물 무역 회사들의 수익성(profitability)의 핵심이었기 때문에 비밀리에 활동했다는 흐름이 자연스럽다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q32", "number": 32, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 5, "status": "correct", "answer": 5, "explanation": "글쓰기는 대화와 달리 즉각적인 피드백을 허용하지 않으므로 작가는 가상의 대화 양쪽을 모두 상상하며 부재하는 독자의 반응을 예측해야(anticipate the absent reader's response) 한다는 내용이 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q33", "number": 33, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "고객뿐만 아니라 건물의 잠재적 사용자들을 설계 과정에 참여시켜 의견을 구하면 더 나은 건물을 만들고 만족도를 높일 수 있다는 내용이므로 ④가 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q34", "number": 34, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 6, "status": "correct", "answer": 3, "explanation": "법이 모든 이성적 존재가 자유롭게 선택할 원칙의 구현이고 이성적으로 선택하지 않을 행동을 금지하는 것이라면, 그러한 법은 자유에 대한 제약으로 이해될(understood as a restraint on their freedom) 수 없다는 결론이 도출된다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q35", "number": 35, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "업무 마감에 쫓겨 자기 관리 활동을 포기하게 되지만 장기적으로는 자기 관리의 중요성을 인식해야 한다는 흐름에서, 디자인 수업보다 목공 수업에 먼저 등록해야 한다는 ④는 전체 흐름과 무관하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q36", "number": 36, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 4, "source_page": 6, "status": "correct", "answer": 4, "explanation": "주어진 글의 반복적 과정으로서의 시계 개념을 물시계와 수정 진동자의 예로 구체화하는 (C), 언뜻 반복이 가려진 양초 시계도 분자의 반복적 연소임을 설명하는 (A), 이와 유사하게 연속적으로 보이지만 실제로는 탄소 원자의 반복적 붕괴인 방사성 탄소 연대 측정을 제시하는 (B)의 순서가 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q37", "number": 37, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 4, "explanation": "주어진 글의 학문 간 관계 통찰을 인지과학의 학제 간 노력으로 연결하며 철학의 비경험적 성격을 언급한 (C), 이 비경험적 성격이 의미하는 바를 설명하며 경험적 연구 결과에 의한 보완 필요성을 밝힌 (A), 그리고 의식의 본질에 대한 포괄적 이해를 위해 철학과 신경과학의 협력이 필요함을 구체화한 (B)로 이어지는 것이 가장 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement", "official_status": "incorrect", "accepted_answers": [ 4, 5 ], "benchmark_adjusted": true }, { "id": "2026-english-english-q38", "number": 38, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 7, "status": "correct", "answer": 5, "explanation": "우리가 형성하는 내적 서사가 신념과 의견을 형성할 뿐만 아니라 정체성에도 깊이 뿌리박힌다는 주어진 문장은, 특정 대학 졸업생에 대한 부정적 서사 형성 예시 뒤이자 정치적 이념 즉 개인의 정체성과 연결되는 서사 예시 앞인 ⑤에 들어가야 한다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q39", "number": 39, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "실제 세계에서처럼 지각에는 행동이 필요하다는 공통점을 언급한 문장 바로 뒤인 ③에 게임 세계에서의 행동은 아바타의 가상 신체 공간을 통해서만 탐색될 수 있다는 차이점을 밝히는 주어진 문장이 들어가야 흐름이 자연스럽다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q40", "number": 40, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 7, "status": "correct", "answer": 3, "explanation": "공연 예술은 외부 자금에 의존하여 재정적 어려움(challenges)을 겪는 상황에서도 독특하고 생생한 경험을 제공함으로써 이를 높이 평가하는 관객을 확보한다(secure)는 요약이 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q41", "number": 41, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 3, "correct_answer": 2, "source_page": 8, "status": "correct", "answer": 2, "explanation": "복식의 역사에서 실제 의복 유물의 공백과 한계를 회화, 판화, 조각, 사진 등 다양한 시각 자료가 메워 준다는 내용이므로 ②가 제목으로 가장 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q42", "number": 42, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "예술 형태에 담긴 정보가 없다면 역사적 복식 전시는 원래 제작자와 소유자의 의도를 어색하게 모방한 것이 될 가능성이 높으므로 (e) unlikely를 likely 등으로 고쳐야 한다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q43", "number": 43, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "가족 독서 모임을 만들자는 (A) 이후, Sam이 Mia에게 이를 제안하고 첫 책 선정권을 주는 (D), Mia가 도서관에서 사서의 추천으로 책을 빌리는 (C), 첫 독서 모임을 갖고 대화를 나누는 (B)의 순서가 가장 적절하다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q44", "number": 44, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 3, "source_page": 8, "status": "correct", "answer": 3, "explanation": "(a), (b), (d), (e)는 모두 Mia를 가리키지만, (c)는 Mia에게 책을 추천해 준 도서관 사서(librarian)를 가리킨다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" }, { "id": "2026-english-english-q45", "number": 45, "subject": "english", "section": "english", "kind": "multiple_choice", "points": 2, "correct_answer": 5, "source_page": 8, "status": "correct", "answer": 5, "explanation": "(D)에서 Mia는 Sam의 독서 모임 제안에 즉시 고개를 저으며 거절했고 설득 끝에 마지못해 동의했으므로 ⑤는 글의 내용과 일치하지 않는다.", "abstain_reason": null, "time_seconds": 4.736466666666667, "usage": { "input_tokens": 682, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 77.6, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.00214, "measurement_basis": "Group request duration and usage divided equally; not individual measurement" } ], "sources": [ { "subject": "korean", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093801&lev=0&m=0403&s=suneung" }, { "subject": "math", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093800&lev=0&m=0403&s=suneung" }, { "subject": "english", "url": "https://www.suneung.re.kr/boardCnts/view.do?boardID=1500234&boardSeq=5093799&lev=0&m=0403&s=suneung" } ], "completed": true, "protocol": { "model": "gemini-4-argon", "provider": "google", "effort": "high", "sdk_version": "Pi CLI 0.87.1", "tools": "disabled", "input": "original PDF rendered at 200 DPI", "english_listening": "official transcript rendered as images", "max_iterations": 3, "group_timeout_seconds": 900, "concurrency": 2, "cost_limit_usd": 25, "subscription_only": false, "api_key_fallback": false, "agent": "Pi", "api_model": "gemini-4-argon", "api_base_url": "https://generativelanguage.googleapis.com/v1beta/openai/", "max_output_tokens": 32768, "effort_semantics": "high", "output_format": "prompted JSON; no tools", "image_resize": false, "route_hash": "b68e00ea6c803bf7f5669073bc4180887871e8e02572d726e02f802a3b49c24c" }, "protocol_history": [], "billing": { "method": "pi_api", "api_key_used": true, "subscription_only": false, "user_authorized": true, "api_model": "gemini-4-argon", "api_endpoint": "https://generativelanguage.googleapis.com/v1beta/openai/", "reference_cost_is_invoice": false }, "usage_complete": false, "limitations": [ "공식 정답은 ⑤번입니다. 본 벤치마크는 문장 연결의 대안적 해석을 수용해 ④번도 정답으로 인정합니다.", "Pi 모델은 사용자 승인 API 인증으로 실행합니다. Codex·Claude 구독 결과와 인증 경로가 다릅니다.", "Pi CLI 0.87.1, 도구·확장·자동 재시도·문맥 압축·이미지 자동 축소 비활성, 묶음당 출력 상한 32,768토큰입니다.", "Pi의 총 입력은 비캐시 입력·캐시 읽기·캐시 쓰기의 합이며 추론 토큰은 총 출력의 부분집합입니다. 제공자가 별도 추론 값을 주지 않으면 0은 미보고를 뜻할 수 있습니다.", "Pi high 추론 설정입니다. 모델별 내부 계산량이 동일하다는 뜻은 아닙니다.", "영어 듣기 1~17번은 공식 대본 이미지로 평가합니다. 실제 음성 청취 성능이 아닙니다.", "전체 지표는 공통 문항을 한 번만 센 147개 고유 문항 기준입니다.", "전체 풀이 시간은 실제 경과 시간이며 병렬 묶음 시간 합계와 다릅니다.", "문항별 시간·사용량·시험별 비용은 묶음 값을 균등 배분한 추정치입니다.", "USD 비용은 API 요율 환산 참고값으로 실제 구독 청구액이나 API 결제액이 아닙니다.", "사용량 없는 실패 요청은 비용에서 제외될 수 있어 확인 가능한 사용량의 하한 추정입니다.", "원본 200 DPI 이미지, protocol에 기록한 추론 설정, 외부 도구·검색 비활성 조건입니다. Claude의 StructuredOutput은 외부 IO가 없는 SDK 출력 형식 캐리어만 허용합니다.", "공개된 전년도 시험의 학습 데이터 포함 가능성과 모델별 토크나이저·SDK·추론 차이를 배제하지 않습니다.", "Claude의 사고 토큰은 별도 보고되지 않습니다. 내부 정규화의 0은 사고 토큰이 없다는 뜻이 아니며 총 출력 토큰에 포함됩니다." ], "grading_policy": { "id": "2026-english-q37-dual-answer-v1", "effective_date": "2026-10-17", "question_id": "2026-english-english-q37", "official_answer": 5, "accepted_answers": [ 4, 5 ], "annotation": "공식 정답은 ⑤번입니다. 본 벤치마크는 문장 연결의 대안적 해석을 수용해 ④번도 정답으로 인정합니다.", "rationale": "④(C→A→B)는 (C)의 비경험적 접근을 (A)의 경험적 보완 필요성으로 연결하고, (B)의 신경과학 협력으로 구체화하는 해석입니다. ⑤(C→B→A)는 학제 간 역할과 협력에서 경험적 보완 필요성으로 종합하는 해석입니다. 두 해석을 수용하는 벤치마크 운영 정책이며, 공식 복수정답 인정이나 모델들의 합의에 따른 판정이 아닙니다." }, "official_summary": { "total_questions": 147, "correct": 146, "incorrect": 1, "abstained": 0, "errors": 0, "pending": 0, "score": 373, "max_score": 376, "accuracy": 99.31972789115646, "abstention_rate": 0, "attempt_accuracy": 99.31972789115646, "wall_time_seconds": 1059.001, "solver_time_seconds": 1623.275, "usage": { "input_tokens": 83975, "cached_input_tokens": 0, "cache_write_input_tokens": 0, "output_tokens": 14541, "reasoning_output_tokens": 0 }, "estimated_cost_usd": 0.31336 } } ], "requested_models": [ { "id": "gpt-6.1-sol", "label": "GPT-6.1 Sol", "provider": "openai", "state": "complete", "reason": null }, { "id": "gpt-6-astra", "label": "GPT-6 Astra", "provider": "openai", "state": "complete", "reason": null }, { "id": "gpt-6-luna", "label": "GPT-6 Luna", "provider": "openai", "state": "complete", "reason": null }, { "id": "claude-sonnet-5-5", "label": "Claude Sonnet 5.5", "provider": "anthropic", "state": "complete", "reason": null }, { "id": "claude-opus-5-5", "label": "Claude Opus 5.5", "provider": "anthropic", "state": "complete", "reason": null }, { "id": "claude-haiku-5-5", "label": "Claude Haiku 5.5", "provider": "anthropic", "state": "complete", "reason": null }, { "id": "claude-fable-5-1", "label": "Claude Fable 5.1", "provider": "anthropic", "state": "complete", "reason": null }, { "id": "deepseek-v4.1-flash", "label": "DeepSeek V4.1 Flash", "provider": "deepseek", "state": "complete", "reason": null }, { "id": "glm-5.3-flash", "label": "GLM 5.3 Flash", "provider": "zai", "state": "partial", "reason": "실행 종료: 91/147문항 제출. 국어 56문항은 출력 상한·시간 초과로 최대 3회 시도 후 미제출 상태입니다." }, { "id": "qwen3.8-27b", "label": "Qwen3.8-27B", "provider": "qwen", "state": "partial", "reason": "실행 종료: 131/147문항 제출. 나머지 16문항은 제공자 출력 검사 차단이 반복됐습니다." }, { "id": "kimi-k3", "label": "Kimi K3", "provider": "moonshot", "state": "complete", "reason": null }, { "id": "gemini-4-argon", "label": "Gemini 4 Argon", "provider": "google", "state": "complete", "reason": null } ], "billing_policy": { "subscription_only": false, "api_key_fallback": false, "pi_api_models": [ "deepseek-v4.1-flash", "glm-5.3-flash", "qwen3.8-27b", "kimi-k3", "gemini-4-argon" ] } }