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+[{"task_id": "mmlu-2184", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Tisha wrote the following riddle to her friend: I have 2 faces, no vertices, and I can roll. What am I? What is the answer to the riddle?\nA) cone\nB) cylinder\nC) sphere\nD) prism\n\nAnswer with the letter only.", "response": "B", "cost_usd": 1e-05, "tokens_in": 70, "tokens_out": 5, "latency_s": 1.414}, {"task_id": "mmlu-13926", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following does the term \"Arhats\" refer to?\nA) Enlightened being\nB) Worthy ones\nC) Saintly ones\nD) Sages\n\nAnswer with the letter only.", "response": "B", "cost_usd": 8.4e-06, "tokens_in": 54, "tokens_out": 5, "latency_s": 1.147}, {"task_id": "gsm8k-586", "model": "openai/gpt-5.6-luna", "prompt": "Hannah needs to drink 100 ml of water for every 200 calories she burns. She spends 2 hours doing aerobics, which burns 500 calories/hour, and 1 hour running, which burns 600 calories/hour. How many ml of water does she need to drink?\n\nReason step by step, then give the final answer as a single number.", "response": "Aerobics: \\(2 \\times 500 = 1000\\) calories  \nRunning: \\(1 \\times 600 = 600\\) calories  \nTotal: \\(1000 + 600 = 1600\\) calories  \nWater needed: \\(\\frac{1600}{200} \\times 100 = 800\\) ml\n\n800", "cost_usd": 9.61e-05, "tokens_in": 79, "tokens_out": 147, "latency_s": 5.189}, {"task_id": "gsm8k-145", "model": "openai/gpt-5.6-luna", "prompt": "John has 10 hectares of a pineapple field. There are 100 pineapples per hectare. John can harvest his pineapples every 3 months. How many pineapples can John harvest within a year?\n\nReason step by step, then give the final answer as a single number.", "response": "10 hectares \u00d7 100 pineapples per hectare = 1,000 pineapples per harvest.\n\nA year has 12 months, so harvesting every 3 months gives 12 \u00f7 3 = 4 harvests.\n\n1,000 \u00d7 4 = 4,000\n\n4000", "cost_usd": 8.09e-05, "tokens_in": 65, "tokens_out": 124, "latency_s": 2.657}, {"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.", "response": "import sys\n\ndef main():\n    input = sys.stdin.readline\n    n, d = map(int, input().split())\n    snakes = [tuple(map(int, input().split())) for _ in range(n)]\n\n    for k in range(1, d + 1):\n        print(max(t * (l + k) for t, l in snakes))\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 9.290000000000001e-05, "tokens_in": 401, "tokens_out": 88, "latency_s": 1.062}, {"task_id": "lcb-abc400_c", "model": "openai/gpt-5.6-luna", "prompt": "A positive integer X is called a good integer if and only if it satisfies the following condition:\n\n- There exists a pair of positive integers (a,b) such that X = 2^a \\times b^2.\n\nFor example, 400 is a good integer because 400 = 2^2 \\times 10^2.\nGiven a positive integer N, find the number of good integers between 1 and N, inclusive.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\n\nOutput\n\nPrint the number of good integers between 1 and N, inclusive.\n\nConstraints\n\n\n- 1 \\leq N \\leq 10^{18}\n- N is an integer.\n\nSample Input 1\n\n20\n\nSample Output 1\n\n5\r\n\nThere are five good integers between 1 and 20: 2, 4, 8, 16, and 18.\r\nThus, print 5.\n\nSample Input 2\n\n400\n\nSample Output 2\n\n24\n\nSample Input 3\n\n1234567890\n\nSample Output 3\n\n42413\r\n\nNote that the input might not fit in a 32-bit integer type.\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\nimport math\n\nN = int(sys.stdin.readline())\n\nanswer = 0\npower = 2\n\nwhile power <= N:\n    limit = math.isqrt(N // power)\n    answer += (limit + 1) // 2\n    power *= 2\n\nprint(answer)\n", "cost_usd": 0.0003128, "tokens_in": 278, "tokens_out": 475, "latency_s": 5.702}]