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+[{"task_id": "mmlu-1799", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] When we speak of time dilation, we mean that time\nA) compresses with speed.\nB) stretches with speed.\nC) is a constant at all speeds.\nD) is related to space.\n\nAnswer with the letter only.", "response": "B", "cost_usd": 8.7e-06, "tokens_in": 57, "tokens_out": 5, "latency_s": 1.906}, {"task_id": "mmlu-10122", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Subsistence practices of people can be determined by recovering and studying:\nA) the faunal assemblage from a site.\nB) an osteological comparative collection from a site.\nC) pumice and evidence of pyroclastic surges.\nD) all of the above.\n\nAnswer with the letter only.", "response": "A", "cost_usd": 3.23e-05, "tokens_in": 71, "tokens_out": 42, "latency_s": 2.992}, {"task_id": "gsm8k-722", "model": "openai/gpt-5.6-luna", "prompt": "Ron is fed up with the pothole in front of his house. If it doesn't get fixed, it's going to do $450 worth of damage to his car. Unfortunately, the city council refuses to fix it, and will fine Ron $120 for unauthorized road maintenance if he fixes it himself. Ron will also have to buy 3 buckets of asphalt that each cost $25. How much money does Ron save by fixing the pothole?\n\nReason step by step, then give the final answer as a single number.", "response": "1. Asphalt costs: \\(3 \\times \\$25 = \\$75\\).\n2. Total cost to fix it: \\(\\$75 + \\$120 = \\$195\\).\n3. Damage avoided: \\(\\$450\\).\n4. Money saved: \\(\\$450 - \\$195 = \\$255\\).\n\n\\[\n\\boxed{255}\n\\]", "cost_usd": 9.730000000000001e-05, "tokens_in": 109, "tokens_out": 144, "latency_s": 2.867}, {"task_id": "gsm8k-472", "model": "openai/gpt-5.6-luna", "prompt": "Matt wants cookies for a snack, but his dad wants him to eat healthily. He tells Matt he can have half as many cookies as the number of carrot sticks he eats, plus two extra for cleaning his room. If Matt wants to eat five cookies in total, how many carrot sticks does he have to eat?\n\nReason step by step, then give the final answer as a single number.", "response": "Let \\(c\\) be the number of carrot sticks.\n\n\\[\n\\frac{c}{2}+2=5\n\\]\n\nSubtract 2:\n\n\\[\n\\frac{c}{2}=3\n\\]\n\nMultiply by 2:\n\n\\[\nc=6\n\\]\n\n6", "cost_usd": 8.05e-05, "tokens_in": 85, "tokens_out": 120, "latency_s": 3.208}, {"task_id": "lcb-abc388_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given a string S. Here, the first character of S is an uppercase English letter, and the second and subsequent characters are lowercase English letters.\nPrint the string formed by concatenating the first character of S and UPC in this order.\n\nInput\n\nThe input is given from Standard Input in the following format:\nS\n\nOutput\n\nPrint the string formed by concatenating the first character of S and UPC in this order.\n\nConstraints\n\n\n- S is a string of length between 1 and 100, inclusive.\n- The first character of S is an uppercase English letter.\n- The second and subsequent characters of S are lowercase English letters.\n\nSample Input 1\n\nKyoto\n\nSample Output 1\n\nKUPC\r\n\nThe first character of Kyoto is K, so concatenate K and UPC, and print KUPC.\n\nSample Input 2\n\nTohoku\n\nSample Output 2\n\nTUPC\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": "s = input().strip()\nprint(s[0] + \"UPC\")", "cost_usd": 3.3299999999999996e-05, "tokens_in": 219, "tokens_out": 19, "latency_s": 0.978}, {"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())\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)", "cost_usd": 0.00024800000000000007, "tokens_in": 278, "tokens_out": 367, "latency_s": 4.136}]