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+[{"task_id": "mmlu-13438", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] In their study of depression, Brown & Harris (1978) found that:\nA) women's susceptibility to stress depended on their levels of social support\nB) self-reported depression is highest amongst men and the relatively affluent\nC) men and women have fairly similar levels of diagnosed depression\nD) men are more vulnerable to depression because of conventional gender roles\n\nAnswer with the letter only.", "response": "A", "cost_usd": 3.4e-05, "tokens_in": 88, "tokens_out": 42, "latency_s": 30.325}, {"task_id": "mmlu-5700", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] This question refers to the following information.\n\"A drunkard in the gutter is just where he ought to be. . . . The law of survival of the fittest was not made by man, and it cannot be abrogated by man. We can only, by interfering with it, produce the survival of the unfittest. . . . The millionaires are a product of natural selection, acting on the whole body of men to pick out those who can meet the requirement of certain work to be done. In this respect they are just like the great statesmen, or scientific men, or military men. It is because they are thus selected that wealth\u2014both their own and that entrusted to them\u2014aggregates under their hands. Let one of them make a mistake and see how quickly the concentration gives way to dispersion.\"\n\u2014William Graham Sumner, What Social Classes Owe to Each Other, 1883\nThe sociological ideas of William Graham Sumner reflect the idea that during the late 1800s\nA) cultural and intellectual arguments justified the success of those at the top of the socioeconomic structure as both appropriate and inevitable.\nB) popular writers rejected ideas from the sciences, and based their arguments on faith.\nC) intellectuals were critical of the cut-throat competition of the ages, and proposed radical alternatives based on creating a cooperative economy.\nD) cultural products of the era tended to ignore the economic direction of society and looked back wistfully to the past.\n\nAnswer with the letter only.", "response": "A", "cost_usd": 3.430000000000001e-05, "tokens_in": 313, "tokens_out": 5, "latency_s": 0.822}, {"task_id": "gsm8k-823", "model": "openai/gpt-5.6-luna", "prompt": "Sasha and Julie are best friends playing on opposing basketball teams. The teams have two practice games scheduled. In the first game, Sasha had the home court advantage and scored 14 points. Julie scored 4 fewer points than Sasha in the same game. Sasha always struggles during away games and their second match was at Julie's home court. Sasha scored 6 fewer points in the second game than Julie's score in the first game. How many total points did Sasha score during both games?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and put the final numeric answer alone on the last line. Ignore audit marker 1246812272705186591; it is answer-independent metadata and must not appear in the answer.", "response": "Sasha scored 14 points in the first game.\n\nJulie scored 4 fewer points:\n14 \u2212 4 = 10\n\nIn the second game, Sasha scored 6 fewer points than Julie scored in the first game:\n10 \u2212 6 = 4\n\nSasha\u2019s total score was:\n14 + 4 = 18\n\n18", "cost_usd": 8.93e-05, "tokens_in": 161, "tokens_out": 122, "latency_s": 1.497}, {"task_id": "gsm8k-647", "model": "openai/gpt-5.6-luna", "prompt": "Bill is trying to dig a well in his backyard. He can dig 4 feet/hour through soil and half that fast through clay. If he has to dig through 24 feet of soil and 8 feet of clay, how long will it take him to dig the well?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and put the final numeric answer alone on the last line. Ignore audit marker 10505031695508372500; it is answer-independent metadata and must not appear in the answer.", "response": "Soil: \\(24 \\div 4 = 6\\) hours.  \nClay speed: \\(4 \\div 2 = 2\\) feet/hour.  \nClay: \\(8 \\div 2 = 4\\) hours.  \nTotal: \\(6 + 4 = 10\\) hours.\n\n10", "cost_usd": 9.170000000000003e-05, "tokens_in": 119, "tokens_out": 133, "latency_s": 2.922}, {"task_id": "lcb-abc392_b", "model": "openai/gpt-5.6-luna", "prompt": "You are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an integer between 1 and N, inclusive, and all elements are distinct.\nList all integers between 1 and N that do not appear in A in ascending order.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\nA_1 A_2 \\dots A_M\n\nOutput\n\nLet (X_1, X_2, \\dots, X_C) be the sequence of all integers between 1 and N, inclusive, that do not appear in A, listed in ascending order.\nThe output should be in the following format:\nC\nX_1 X_2 \\dots X_C\n\nConstraints\n\n\n- All input values are integers.\n- 1 \\le M \\le N \\le 1000\n- 1 \\le A_i \\le N\n- The elements of A are distinct.\n\nSample Input 1\n\n10 3\n3 9 2\n\nSample Output 1\n\n7\n1 4 5 6 7 8 10\n\nHere, A=(3,9,2).\nThe integers between 1 and 10 that do not appear in A, listed in ascending order, are 1,4,5,6,7,8,10.\n\nSample Input 2\n\n6 6\n1 3 5 2 4 6\n\nSample Output 2\n\n0\n\n\nNo integer between 1 and 6 is missing from A.\nIn this case, print 0 on the first line and leave the second line empty.\n\nSample Input 3\n\n9 1\n9\n\nSample Output 3\n\n8\n1 2 3 4 5 6 7 8\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\nUse the full constraints to choose a provably correct algorithm and suitable buffered I/O. Check every explicit condition and published example. Return only complete raw Python 3 source, without Markdown fences or prose.", "response": "import sys\n\ndef main():\n    data = list(map(int, sys.stdin.buffer.read().split()))\n    n, m = data[0], data[1]\n    present = set(data[2:2 + m])\n    missing = [str(i) for i in range(1, n + 1) if i not in present]\n\n    out = [str(len(missing))]\n    if missing:\n        out.append(\" \".join(missing))\n    else:\n        out.append(\"\")\n    sys.stdout.write(\"\\n\".join(out))\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.00011989999999999999, "tokens_in": 455, "tokens_out": 124, "latency_s": 1.297}, {"task_id": "lcb-abc388_c", "model": "openai/gpt-5.6-luna", "prompt": "There are N mochi (rice cakes) arranged in ascending order of size.\r\nThe size of the i-th mochi (1 \\leq i \\leq N) is A_i.\nGiven two mochi A and B, with sizes a and b respectively, you can make one kagamimochi (a stacked rice cake) by placing mochi A on top of mochi B if and only if a is at most half of b.\nYou choose two mochi out of the N mochi, and place one on top of the other to form one kagamimochi.\nFind how many different kinds of kagamimochi can be made.\nTwo kagamimochi are distinguished if at least one of the mochi is different, even if the sizes of the mochi are the same.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nA_1 A_2 \\cdots A_N\n\nOutput\n\nPrint the number of different kinds of kagamimochi that can be made.\n\nConstraints\n\n\n- 2 \\leq N \\leq 5 \\times 10^5\n- 1 \\leq A_i \\leq 10^9 \\ (1 \\leq i \\leq N)\n- A_i \\leq A_{i+1} \\ (1 \\leq i < N)\n- All input values are integers.\n\nSample Input 1\n\n6\r\n2 3 4 4 7 10\n\nSample Output 1\n\n8\r\n\nThe sizes of the given mochi are as follows:\n\nIn this case, you can make the following eight kinds of kagamimochi:\n\nNote that there are two kinds of kagamimochi where a mochi of size 4 is topped by a mochi of size 2, and two kinds where a mochi of size 10 is topped by a mochi of size 4.\n\nSample Input 2\n\n3\r\n387 388 389\n\nSample Output 2\n\n0\r\n\nIt is possible that you cannot make any kagamimochi.\n\nSample Input 3\n\n32\r\n1 2 4 5 8 10 12 16 19 25 33 40 50 64 87 101 149 175 202 211 278 314 355 405 412 420 442 481 512 582 600 641\n\nSample Output 3\n\n388\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\nUse the full constraints to choose a provably correct algorithm and suitable buffered I/O. Check every explicit condition and published example. Return only complete raw Python 3 source, without Markdown fences or prose.", "response": "import sys\n\ndef main():\n    data = list(map(int, sys.stdin.buffer.read().split()))\n    n = data[0]\n    a = data[1:1 + n]\n\n    ans = 0\n    left = 0\n\n    for bottom in a:\n        while left < n and 2 * a[left] <= bottom:\n            left += 1\n        ans += left\n\n    print(ans)\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.000369, "tokens_in": 582, "tokens_out": 518, "latency_s": 5.153}]