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+[{"task_id": "mmlu-5213", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] In the three-box information processing model, what is the first place memories are stored?\nA) short-term memory\nB) eidetic memory\nC) semantic memory\nD) sensory memory\n\nAnswer with the letter only.", "response": "D", "cost_usd": 8.5e-06, "tokens_in": 55, "tokens_out": 5, "latency_s": 1.511}, {"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": 4.149999999999999e-05, "tokens_in": 85, "tokens_out": 55, "latency_s": 2.294}, {"task_id": "gsm8k-808", "model": "openai/gpt-5.6-luna", "prompt": "There are 10 quarts of tea left from the party. Four students each drank 1.5 quarts of tea and 16 students each drank 2 quarts of tea. How many gallons of tea were at the beginning of the party?\n\nReason step by step, then give the final answer as a single number.\n\nSolve the problem carefully. Keep any reasoning concise. The final line of your response should contain only the final answer token.\nInternal validation tag: 0084833479830206002999384772040565499451. Do not copy or mention this tag.", "response": "Four students drank \\(4 \\times 1.5 = 6\\) quarts.\n\nSixteen students drank \\(16 \\times 2 = 32\\) quarts.\n\nTotal consumed: \\(6 + 32 = 38\\) quarts.\n\nInitial amount: \\(38 + 10 = 48\\) quarts.\n\nSince \\(4\\) quarts equal \\(1\\) gallon:\n\n\\(48 \\div 4 = 12\\) gallons.\n\n12", "cost_usd": 0.0001072, "tokens_in": 124, "tokens_out": 158, "latency_s": 4.695}, {"task_id": "gsm8k-401", "model": "openai/gpt-5.6-luna", "prompt": "A builder works for 4 weeks every month and for 6 days every week. If he gets paid $50 every day, how much does he earn if he works for a year?\n\nReason step by step, then give the final answer as a single number.\n\nSolve the problem carefully. Keep any reasoning concise. The final line of your response should contain only the final answer token.\nInternal validation tag: 0161456387475721409887517805690649016873. Do not copy or mention this tag.", "response": "4 weeks/month \u00d7 6 days/week = 24 days/month  \n24 days/month \u00d7 12 months = 288 days/year  \n288 days \u00d7 $50/day = $14,400  \n\n14400", "cost_usd": 6.69e-05, "tokens_in": 111, "tokens_out": 93, "latency_s": 4.579}, {"task_id": "lcb-abc400_b", "model": "openai/gpt-5.6-luna", "prompt": "You are given two positive integers N and M.\nLet X = \\displaystyle\\sum_{i = 0}^{M} N^i. If X \\leq 10^9, print the value of X. If X > 10^9, print inf.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\n\nOutput\n\nPrint the value of X or inf as specified by the problem statement.\n\nConstraints\n\n\n- 1 \\leq N \\leq 10^9\n- 1 \\leq M \\leq 100\n- All input values are integers.\n\nSample Input 1\n\n7 3\n\nSample Output 1\n\n400\r\n\nX = 1 + 7 + 49 + 343 = 400. Since 400 \\leq 10^9, print 400.\n\nSample Input 2\n\n1000000 2\n\nSample Output 2\n\ninf\r\n\nX = 1000001000001 > 10^9, so print inf.\n\nSample Input 3\n\n999999999 1\n\nSample Output 3\n\n1000000000\n\nSample Input 4\n\n998244353 99\n\nSample Output 4\n\ninf\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\nReturn only a complete Python 3 program. Do not use Markdown fences. Read exactly from standard input and write exactly to standard output. Prefer a direct, deterministic algorithm over simulation unless the statement requires simulation.", "response": "import sys\n\nN, M = map(int, sys.stdin.read().split())\n\nlimit = 10**9\ntotal = 0\npower = 1\n\nfor _ in range(M + 1):\n    total += power\n    if total > limit:\n        print(\"inf\")\n        break\n    power *= N\nelse:\n    print(total)\n", "cost_usd": 7.849999999999998e-05, "tokens_in": 329, "tokens_out": 76, "latency_s": 1.135}, {"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.\n\nReturn only a complete Python 3 program. Do not use Markdown fences. Read exactly from standard input and write exactly to standard output. Prefer a direct, deterministic algorithm over simulation unless the statement requires simulation.", "response": "import sys\nimport math\n\nN = int(sys.stdin.read())\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)", "cost_usd": 0.00030369999999999996, "tokens_in": 319, "tokens_out": 453, "latency_s": 5.493}]