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+[{"task_id": "mmlu-5952", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] This question refers to the following information.\n\"The greatest contribution that Africa can make to the peace of the world is to avoid all the dangers inherent in disunity, by creating a political union which will also by its success, stand as an example to a divided world. A Union of African states will project more effectively the African personality. It will command respect from a world that has regard only for size and influence. The scant attention paid to African opposition to the French atomic tests in the Sahara, and the ignominious spectacle of the U.N. in the Congo quibbling about constitutional niceties while the Republic was tottering into anarchy, are evidence of the callous disregard of African Independence by the Great Powers.\"\nKwame Nkrumah, Ghanian leader, 1961\nThe passage is most clearly an example of which of the following?\nA) Responses to failed unification attempts in Africa\nB) A plea for the United Nations to intervene in Africa\nC) A proposal to increase the standing of Africa in the modern world\nD) Ardent opposition to the influence of capitalism in Africa\n\nAnswer with the letter only.", "response": "C", "cost_usd": 2.72e-05, "tokens_in": 242, "tokens_out": 5, "latency_s": 1.7}, {"task_id": "mmlu-5088", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following perspectives is most concerned with self-esteem and actualizing one's potential?\nA) humanistic\nB) behavioral\nC) cognitive\nD) psychodynamic\n\nAnswer with the letter only.", "response": "A", "cost_usd": 8.100000000000004e-06, "tokens_in": 51, "tokens_out": 5, "latency_s": 0.738}, {"task_id": "gsm8k-1244", "model": "openai/gpt-5.6-luna", "prompt": "Audrey has to take two math tests to pass 6th grade. She must correctly answer 70% of the total questions to move on to the 7th grade. The first test has 70 questions and she gets 60% of them correct. The second test has 40 questions. How many questions does she need to get right on the second test to move onto the 7th grade?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and place the final numeric answer alone on the last line. The following fixed provenance sentinel is unrelated to the problem and must not appear in the response: 271828182845904523536", "response": "First test correct: \\(70 \\times 0.60 = 42\\) questions.\n\nTotal correct needed: \\((70+40)\\times 0.70 = 77\\) questions.\n\nSecond test needed: \\(77-42=35\\) questions.\n\n35", "cost_usd": 8.31e-05, "tokens_in": 147, "tokens_out": 114, "latency_s": 2.724}, {"task_id": "gsm8k-577", "model": "openai/gpt-5.6-luna", "prompt": "Mack wants to count things and decided to count how many birds there are in the sky over the next week. On days one and two, Mack saw a total of 50 birds. On day three he saw none. On days four and five, he saw 120 birds. On day six he saw 20 and on day seven he saw 90. On average, how many birds did Mack see in a day?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and place the final numeric answer alone on the last line. The following fixed provenance sentinel is unrelated to the problem and must not appear in the response: 271828182845904523536", "response": "Days 1\u20132: 50 birds  \nDay 3: 0 birds  \nDays 4\u20135: 120 birds  \nDay 6: 20 birds  \nDay 7: 90 birds  \n\nTotal birds: \\(50+0+120+20+90=280\\)\n\nAverage per day: \\(280 \\div 7=40\\)\n\n40", "cost_usd": 9.72e-05, "tokens_in": 150, "tokens_out": 137, "latency_s": 5.003}, {"task_id": "lcb-abc391_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given a string D representing one of the eight directions (north, east, west, south, northeast, northwest, southeast, southwest). The correspondence between the directions and their representing strings is as follows.\n\n- North: N\n- East: E\n- West: W\n- South: S\n- Northeast: NE\n- Northwest: NW\n- Southeast: SE\n- Southwest: SW\n\nPrint the string representing the direction opposite to the direction denoted by D.\n\nInput\n\nThe input is given from Standard Input in the following format:\nD\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- D is one of N, E, W, S, NE, NW, SE, SW.\n\nSample Input 1\n\nN\n\nSample Output 1\n\nS\r\n\nPrint S, which represents south, the direction opposite to north.\n\nSample Input 2\n\nSE\n\nSample Output 2\n\nNW\r\n\nPrint NW, which represents northwest, the direction opposite to southeast.\n\nWrite a complete Python 3 program that reads from standard input and writes the answer to standard output. Output ONLY the program source, no prose and no code fences.\n\nBefore writing the program, privately perform two independent reviews. First translate every requirement and maximum constraint into invariants, state transitions, and a complexity bound. Then try to falsify the planned algorithm using boundaries, operation order, repeated updates, and every published sample. Reconcile any conflict before answering. Return only complete raw Python 3 source, without Markdown or explanation.", "response": "d = input().strip()\nopposite = {\n    \"N\": \"S\",\n    \"S\": \"N\",\n    \"E\": \"W\",\n    \"W\": \"E\",\n    \"NE\": \"SW\",\n    \"SW\": \"NE\",\n    \"NW\": \"SE\",\n    \"SE\": \"NW\",\n}\nprint(opposite[d])", "cost_usd": 8.959999999999998e-05, "tokens_in": 308, "tokens_out": 98, "latency_s": 1.504}, {"task_id": "lcb-abc399_d", "model": "openai/gpt-5.6-luna", "prompt": "N couples are seated in a line.\nCount the number of pairs of couples such that neither couple was originally sitting next to each other, and both couples can end up sitting next to each other by swapping seats among those four people.\n\nThere is a sequence A = (A_1, A_2, \\dots, A_{2N}) of length 2N. Each of the integers 1, 2, \\dots, N appears exactly twice in A.\nFind the number of integer pairs (a, b) satisfying 1 \\leq a < b \\leq N and all of the following conditions:\n\n- The two occurrences of a in A are not adjacent.\n- The two occurrences of b in A are not adjacent.\n- By performing the following operation one or more times in any order, it is possible to reach a state where the two occurrences of a in A are adjacent and the two occurrences of b in A are also adjacent.\n- Choose an integer pair (i, j) (1 \\leq i \\leq 2N, 1 \\leq j \\leq 2N) such that A_i = a and A_j = b, and swap A_i with A_j.\n\n\n\nYou are given T test cases; solve each of them.\n\nInput\n\nThe input is given from Standard Input in the following format, where \\mathrm{case}_i denotes the i-th test case:\nT\n\\mathrm{case}_1\n\\mathrm{case}_2\n\\vdots\n\\mathrm{case}_T\n\nEach test case is given in the following format:\nN\nA_1 A_2 \\dots A_{2N}\n\nOutput\n\nPrint T lines. The i-th line should contain the answer for the i-th test case.\n\nConstraints\n\n\n- 1 \\leq T \\leq 2 \\times 10^5\n- 1 \\leq N \\leq 2 \\times 10^5\n- 1 \\leq A_i \\leq N\n- Each of 1, 2, \\dots, N appears exactly twice in A.\n- The sum of N over all test cases is at most 2 \\times 10^5.\n- All input values are integers.\n\nSample Input 1\n\n3\n3\n1 2 3 3 1 2\n4\n1 1 2 2 3 3 4 4\n5\n1 2 3 4 5 1 2 3 4 5\n\nSample Output 1\n\n1\n0\n4\n\nConsider the first test case.\n(a, b) = (1, 2) satisfies the conditions in the problem statement, for the following reasons:\n\n- The two occurrences of 1 in A are not adjacent.\n- The two occurrences of 2 in A are not adjacent.\n- By performing the operation where (i, j) = (1, 6) and swapping A_1 with A_6, you can reach a state where the two occurrences of 1 are adjacent and the two occurrences of 2 are also adjacent.\n\n(1, 2) is the only pair (a, b) that satisfies the conditions.\n\nWrite a complete Python 3 program that reads from standard input and writes the answer to standard output. Output ONLY the program source, no prose and no code fences.\n\nBefore writing the program, privately perform two independent reviews. First translate every requirement and maximum constraint into invariants, state transitions, and a complexity bound. Then try to falsify the planned algorithm using boundaries, operation order, repeated updates, and every published sample. Reconcile any conflict before answering. Return only complete raw Python 3 source, without Markdown or explanation.", "response": "import sys\n\ndef solve():\n    data = list(map(int, sys.stdin.buffer.read().split()))\n    t = data[0]\n    idx = 1\n    out = []\n\n    for _ in range(t):\n        n = data[idx]\n        idx += 1\n        a = data[idx:idx + 2 * n]\n        idx += 2 * n\n\n        first = {}\n        answer = 0\n\n        for i in range(2 * n - 1):\n            x, y = a[i], a[i + 1]\n            if x == y:\n                continue\n            if x > y:\n                x, y = y, x\n            key = (x, y)\n\n            if key not in first:\n                first[key] = i\n            elif first[key] >= 0:\n                j = first[key]\n                if i - j >= 2:\n                    if i - j != 2 or a[j + 1] != a[i]:\n                        answer += 1\n                        first[key] = -1\n\n        out.append(str(answer))\n\n    sys.stdout.write(\"\\n\".join(out))\n\nif __name__ == \"__main__\":\n    solve()\n", "cost_usd": 0.0013501, "tokens_in": 775, "tokens_out": 2121, "latency_s": 26.966}]