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+[{"task_id": "mmlu-3410", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] This question refers to the following information.\nWe have, by this perpetual and irrevocable edict, established and proclaimed:\n\"First, that the recollection of everything done be one party or the other \u2026 during all the preceding period of troubles, remain obliterated and forgotten, as if no such things had ever happened. \u2026\n\"We ordain that the Catholic Apostolic and Roman religion shall be restored and reestablished in all places and localities of this our kingdom and countries subject to our sway, where the exercise of the same has been interrupted, in order that it may be peaceably and freely exercised, without any trouble or hindrance. \u2026\n\"And in order to leave no occasion for troubles or differences between our subjects, we have permitted, and herewith permit, those of the said religion called Reformed to live and abide in all the cities and places of this our kingdom and countries of our sway, and without being annoyed, molested, or compelled to do anything in the matter of religion contrary to their consciences. \u2026\"\nHenry IV of France, The Edict of Nantes, 1598\nFrom the passage, one may infer that Henry IV\nA) was banning Protestants from France\nB) intended for Protestants to be able to live peacefully in his kingdom\nC) was converting to Catholicism\nD) was converting to Protestantism\n\nAnswer with the letter only.", "response": "B", "cost_usd": 3.22e-05, "tokens_in": 292, "tokens_out": 5, "latency_s": 1.552}, {"task_id": "mmlu-9450", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of these factors increases the risk for cancer of the stomach?\n\nA) Obesity\nB) Sugar\nC) Salt and salt-preserved foods\nD) Dietary fibre\n\nAnswer with the letter only.", "response": "C", "cost_usd": 8.199999999999996e-06, "tokens_in": 52, "tokens_out": 5, "latency_s": 2.029}, {"task_id": "gsm8k-266", "model": "openai/gpt-5.6-luna", "prompt": "Mr. Tan sold his house for $400 000. He paid the transfer fees that amount to 3% of the selling price and also paid a brokerage fee that is 5% of the selling price. If he also paid $250 000 for the remaining loan amount of the house, how much is Mr. Tan's net proceeds from selling the house?\n\nReason step by step, then give the final answer as a single number.", "response": "Selling price: $400,000\n\n- Transfer fees: \\(3\\% \\times 400,000 = 12,000\\)\n- Brokerage fee: \\(5\\% \\times 400,000 = 20,000\\)\n- Remaining loan: $250,000\n\nNet proceeds:\n\n\\[\n400,000 - 12,000 - 20,000 - 250,000 = 118,000\n\\]\n\n\\[\n\\boxed{118000}\n\\]", "cost_usd": 0.0001055, "tokens_in": 95, "tokens_out": 160, "latency_s": 3.566}, {"task_id": "gsm8k-898", "model": "openai/gpt-5.6-luna", "prompt": "Dijana and Anis live near a lake, and every weekend they go out rowing into the lake. On a Sunday morning, both went out rowing, and Dijana rowed for 50 miles the whole day. Anis rowed 1/5 times more miles than Dijana. Calculate the total distance the two of them rowed on that day.\n\nReason step by step, then give the final answer as a single number.", "response": "Dijana rowed 50 miles.\n\nAnis rowed \\( \\frac{1}{5} \\) more:\n\n\\[\n50+\\frac{1}{5}\\times 50=50+10=60\n\\]\n\nTogether:\n\n\\[\n50+60=110\n\\]\n\n110", "cost_usd": 8.749999999999999e-05, "tokens_in": 95, "tokens_out": 130, "latency_s": 2.799}, {"task_id": "lcb-abc389_b", "model": "openai/gpt-5.6-luna", "prompt": "You are given an integer X not less than 2.\nFind the positive integer N such that N! = X.\nHere, N! denotes the factorial of N, and it is guaranteed that there is exactly one such N.\n\nInput\n\nThe input is given from Standard Input in the following format:\nX\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 2 \\leq X \\leq 3 \\times 10^{18}\n- There is exactly one positive integer N such that N!=X.\n- All input values are integers.\n\nSample Input 1\n\n6\n\nSample Output 1\n\n3\r\n\nFrom 3!=3\\times2\\times1=6, print 3.\n\nSample Input 2\n\n2432902008176640000\n\nSample Output 2\n\n20\r\n\nFrom 20!=2432902008176640000, print 20.\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.", "response": "import sys\n\nx = int(sys.stdin.readline())\nn = 1\nfactorial = 1\n\nwhile factorial < x:\n    n += 1\n    factorial *= n\n\nprint(n)", "cost_usd": 4.8099999999999977e-05, "tokens_in": 217, "tokens_out": 44, "latency_s": 1.143}, {"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.", "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    p = 0\n\n    for j in range(n):\n        while p < j and 2 * a[p] <= a[j]:\n            p += 1\n        ans += p\n\n    print(ans)\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.0004268000000000001, "tokens_in": 542, "tokens_out": 621, "latency_s": 11.244}]