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+[{"task_id": "mmlu-3016", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] How many milliliters of 0.250 M KOH does it take to neutralize completely 50.0 mL of 0.150 M H3PO4?\nA) 30.0 mL\nB) 27 mL\nC) 90.0 mL\nD) 270 mL\n\nAnswer with the letter only.", "response": "C", "cost_usd": 4.15e-05, "tokens_in": 85, "tokens_out": 55, "latency_s": 4.14}, {"task_id": "mmlu-11499", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] The President appointed a delegation to enter into negotiations with representatives of a foreign government to study the problem of preventing the extinction of certain species of seals. The delegation's goal was twofold: to study the problem and to formulate regulations in a bilateral agreement that would protect the endangered species and provide for a permanent commission that would continually monitor enforcement of the proposed regulations. After compiling their findings and drafting the necessary regulations, the President and the leader of the foreign government entered into a treaty to form a permanent commission to oversee the problem and to grant it the necessary enforcement powers. The validity of this treaty would most likely be upheld under which of the following principles?\nA) The presidential power to conduct foreign affairs.\nB) An ancillary power of the President under his treaty-making power.\nC) The treaty-making power, but only if the treaty is ratified by two-thirds of the Senate.\nD) The treaty-making power, but only if the treaty is ratified by a majority in Congress.\n\nAnswer with the letter only.", "response": "C", "cost_usd": 6.56e-05, "tokens_in": 212, "tokens_out": 74, "latency_s": 4.1}, {"task_id": "gsm8k-1147", "model": "openai/gpt-5.6-luna", "prompt": "Lauren is a cartoonist.  She can draw 5 large-sized picture scenes per day, or she can draw 6 medium-sized picture scenes per day, or she can draw 7 small-sized picture scenes per day.  She was hired for a big project to create 45 large-sized picture scenes, 36 medium-sized picture scenes, and 49 small-sized picture scenes.  How many days will it take for her to create all of the picture scenes?\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 7000389427419979856; it is answer-independent metadata and must not appear in the answer.", "response": "Large-sized scenes: \\(45 \\div 5 = 9\\) days.\n\nMedium-sized scenes: \\(36 \\div 6 = 6\\) days.\n\nSmall-sized scenes: \\(49 \\div 7 = 7\\) days.\n\nTotal: \\(9 + 6 + 7 = 22\\) days.\n\n22", "cost_usd": 9.37e-05, "tokens_in": 157, "tokens_out": 130, "latency_s": 3.733}, {"task_id": "gsm8k-372", "model": "openai/gpt-5.6-luna", "prompt": "Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays.  On Saturdays, she had dance practice that lasted twice as long as Tuesday's night class.  How many hours a week did she have dance practice?\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 7934870221309100920; it is answer-independent metadata and must not appear in the answer.", "response": "Tuesday: 1 hour  \nThursday: 2 hours  \nSaturday: 2 \u00d7 1 = 2 hours  \n\nTotal: 1 + 2 + 2 = 5 hours\n\n5", "cost_usd": 6.22e-05, "tokens_in": 112, "tokens_out": 85, "latency_s": 3.008}, {"task_id": "lcb-abc388_b", "model": "openai/gpt-5.6-luna", "prompt": "There are N snakes.\nInitially, the thickness of the i-th snake is T_i, and its length is L_i.\nThe weight of a snake is defined as the product of its thickness and length.\nFor each integer k satisfying 1 \\leq k \\leq D, find the weight of the heaviest snake when every snake's length has increased by k.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN D\r\nT_1 L_1\r\nT_2 L_2\r\n\\vdots\r\nT_N L_N\n\nOutput\n\nPrint D lines. The k-th line should contain the weight of the heaviest snake when every snake's length has increased by k.\n\nConstraints\n\n\n- 1 \\leq N, D \\leq 100\n- 1 \\leq T_i, L_i \\leq 100\n- All input values are integers.\n\nSample Input 1\n\n4 3\r\n3 3\r\n5 1\r\n2 4\r\n1 10\n\nSample Output 1\n\n12\r\n15\r\n20\r\n\nWhen every snake\u2019s length has increased by 1, the snakes' weights become 12, 10, 10, 11, so print 12 on the first line.\nWhen every snake\u2019s length has increased by 2, the snakes' weights become 15, 15, 12, 12, so print 15 on the second line.\nWhen every snake\u2019s length has increased by 3, the snakes' weights become 18, 20, 14, 13, so print 20 on the third line.\n\nSample Input 2\n\n1 4\r\n100 100\n\nSample Output 2\n\n10100\r\n10200\r\n10300\r\n10400\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, d = data[0], data[1]\n    snakes = [(data[i], data[i + 1]) for i in range(2, 2 + 2 * n, 2)]\n\n    output = []\n    for k in range(1, d + 1):\n        output.append(str(max(t * (l + k) for t, l in snakes)))\n\n    sys.stdout.write(\"\\n\".join(output))\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.00011910000000000002, "tokens_in": 441, "tokens_out": 125, "latency_s": 1.706}, {"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\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 solve():\n    data = list(map(int, sys.stdin.buffer.read().split()))\n    t = data[0]\n    ptr = 1\n    out = []\n\n    for _ in range(t):\n        n = data[ptr]\n        ptr += 1\n        a = data[ptr:ptr + 2 * n]\n        ptr += 2 * n\n\n        first = [-1] * (n + 1)\n        second = [-1] * (n + 1)\n\n        for i, x in enumerate(a):\n            if first[x] == -1:\n                first[x] = i\n            else:\n                second[x] = i\n\n        eligible = [False] * (n + 1)\n        for x in range(1, n + 1):\n            eligible[x] = (second[x] - first[x] != 1)\n\n        edges = {}\n        base = n + 1\n\n        for i in range(2 * n - 1):\n            x = a[i]\n            y = a[i + 1]\n            if x == y:\n                continue\n            if x > y:\n                x, y = y, x\n            key = x * base + y\n            if key in edges:\n                lo, hi = edges[key]\n                if i < lo:\n                    lo = i\n                if i > hi:\n                    hi = i\n                edges[key] = (lo, hi)\n            else:\n                edges[key] = (i, i)\n\n        ans = 0\n        for key, (lo, hi) in edges.items():\n            x = key // base\n            y = key % base\n            if eligible[x] and eligible[y] and hi - lo >= 2:\n                ans += 1\n\n        out.append(str(ans))\n\n    sys.stdout.write(\"\\n\".join(out))\n\nif __name__ == \"__main__\":\n    solve()\n", "cost_usd": 0.0012826, "tokens_in": 742, "tokens_out": 2014, "latency_s": 23.146}]