[{"task_id": "mmlu-9573", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] The pathogenesis of hyperglycemia in type 2 diabetes includes all the following mechanisms except for:\n\nA) Increased glucose production by the liver\nB) Impaired insulin secretion\nC) Decreased glucose uptake from the skeletal muscle\nD) All of the options given are correct\n\nAnswer with the letter only.", "response": "D", "cost_usd": 5.29e-05, "tokens_in": 73, "tokens_out": 76, "latency_s": 3.338}, {"task_id": "mmlu-6491", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] What is the function of the contiguous zone?\nA) The contiguous zone functions as security zone of the coastal State\nB) The contiguous zone is a zone, in which the coastal State may explore and exploit its mineral resources\nC) The contiguous zone is a zone in which the coastal State is permitted to prevent and punish infringements of customs, fiscal, immigration or sanitary laws\nD) The contiguous zone is a zone in which the coastal State safeguards its archaeological and historical objects\n\nAnswer with the letter only.", "response": "C", "cost_usd": 1.4200000000000006e-05, "tokens_in": 112, "tokens_out": 5, "latency_s": 0.793}, {"task_id": "gsm8k-167", "model": "openai/gpt-5.6-luna", "prompt": "Seth is twice as old as Brooke. In 2 years, the sum of their ages will be 28. How old is Seth?\n\nReason step by step, then give the final answer as a single number.", "response": "Let Brooke\u2019s age be \\(x\\). Seth is \\(2x\\).\n\nIn 2 years:\n\\[\n(x+2)+(2x+2)=28\n\\]\n\\[\n3x+4=28\n\\]\n\\[\n3x=24,\\quad x=8\n\\]\n\nSeth is:\n\\[\n2(8)=16\n\\]\n\n\\[\n\\boxed{16}\n\\]", "cost_usd": 9.860000000000001e-05, "tokens_in": 50, "tokens_out": 156, "latency_s": 1.794}, {"task_id": "gsm8k-820", "model": "qwen/qwen3.7-flash", "prompt": "Sandy walked from Holloway Shores to Sun Valley Shores for 8 hours on a particular day. She also walked half as many hours on the second day as she walked on the first day, to Hollock valley shores. Calculate the total time Sandy took to walk in the two days in minutes.\n\nReason step by step, then give the final answer as a single number.", "response": "Step 1: Identify the walking time on the first day, which is given as 8 hours.\nStep 2: Calculate the walking time on the second day. Since it was half as many hours as the first day, divide 8 by 2 to get 4 hours.\nStep 3: Add the walking times for both days to find the total time in hours: 8 hours + 4 hours = 12 hours.\nStep 4: Convert the total time from hours to minutes. Since 1 hour equals 60 minutes, multiply 12 by 60: 12 \u00d7 60 = 720 minutes.\n\n720", "cost_usd": 0.0001784, "tokens_in": 88, "tokens_out": 1352, "latency_s": 8.456}, {"task_id": "lcb-abc396_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given an integer sequence of length N: A = (A_1,A_2,\\ldots,A_N).\nDetermine whether there is a place in A where the same element appears three or more times in a row.\nMore formally, determine whether there exists an integer i with 1 \\le i \\le N-2 such that A_i = A_{i+1} = A_{i+2}.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nA_1 A_2 \\ldots A_N\n\nOutput\n\nIf there is a place in A where the same element appears three or more times in a row, print Yes. Otherwise, print No.\n\nConstraints\n\n\n- 3 \\le N \\le 100\n- 1 \\le A_i \\le 100\n- All input values are integers.\n\nSample Input 1\n\n5\r\n1 4 4 4 2\n\nSample Output 1\n\nYes\r\n\nWe have A=(1,4,4,4,2). There is a place where 4 appears three times in a row, so print Yes.\n\nSample Input 2\n\n6\r\n2 4 4 2 2 4\n\nSample Output 2\n\nNo\r\n\nWe have A=(2,4,4,2,2,4). There is no place where the same element appears three or more times in a row, so print No.\n\nSample Input 3\n\n8\r\n1 4 2 5 7 7 7 2\n\nSample Output 3\n\nYes\n\nSample Input 4\n\n10\r\n1 2 3 4 5 6 7 8 9 10\n\nSample Output 4\n\nNo\n\nSample Input 5\n\n13\r\n1 1 1 1 1 1 1 1 1 1 1 1 1\n\nSample Output 5\n\nYes\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.read().split()))\n    n = data[0]\n    a = data[1:1 + n]\n\n    for i in range(n - 2):\n        if a[i] == a[i + 1] == a[i + 2]:\n            print(\"Yes\")\n            return\n\n    print(\"No\")\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.0001002, "tokens_in": 438, "tokens_out": 94, "latency_s": 3.828}, {"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())\nans = 0\npower = 2\n\nwhile power <= N:\n    limit = math.isqrt(N // power)\n    ans += (limit + 1) // 2\n    power *= 2\n\nprint(ans)\n", "cost_usd": 0.0002576, "tokens_in": 278, "tokens_out": 383, "latency_s": 6.988}]