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[{"task_id": "mmlu-2052", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] In 8085 name/names of the 16 bit registers is/are\nA) stack pointer.\nB) program counter.\nC) both A and B.\nD) none of these.\n\nAnswer with the letter only.", "response": "C", "cost_usd": 8.6e-06, "tokens_in": 56, "tokens_out": 5, "latency_s": 1.781}, {"task_id": "mmlu-10378", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] What is the price of a five-year bond (face value $100) that pays no coupons, if its yield is 4%?\nA) $100\nB) $85\nC) $82\nD) $75\n\nAnswer with the letter only.", "response": "C", "cost_usd": 2.5000000000000005e-05, "tokens_in": 64, "tokens_out": 31, "latency_s": 2.216}, {"task_id": "gsm8k-72", "model": "openai/gpt-5.6-luna", "prompt": "Tommy is fundraising for his charity by selling brownies for $3 a slice and cheesecakes for $4 a slice. If Tommy sells 43 brownies and 23 slices of cheesecake, how much money does Tommy raise?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and put the final numeric answer alone on the last line. Ignore audit marker 6492826976441024153; it is answer-independent metadata and must not appear in the answer.", "response": "Brownies: \\(43 \\times 3 = 129\\) dollars. \nCheesecakes: \\(23 \\times 4 = 92\\) dollars. \nTotal: \\(129 + 92 = 221\\) dollars.\n\n221", "cost_usd": 7.38e-05, "tokens_in": 108, "tokens_out": 105, "latency_s": 1.982}, {"task_id": "gsm8k-759", "model": "openai/gpt-5.6-luna", "prompt": "The number of songs in a playlist is 300. If John has 20 such playlists, and each song is 10 hours long, how many hours will the 20 playlists last in total?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and put the final numeric answer alone on the last line. Ignore audit marker 4479342434574823906; it is answer-independent metadata and must not appear in the answer.", "response": "Each playlist lasts:\n\n300 songs \u00d7 10 hours = 3,000 hours\n\nFor 20 playlists:\n\n3,000 \u00d7 20 = 60,000 hours\n\n60000", "cost_usd": 6.01e-05, "tokens_in": 103, "tokens_out": 83, "latency_s": 2.132}, {"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.\n\nUse the full constraints to choose a provably correct algorithm and suitable buffered I/O. Check every explicit condition and published example. Return only complete raw Python 3 source, without Markdown fences or prose.", "response": "import sys\n\nx = int(sys.stdin.buffer.read())\nfactorial = 1\nn = 1\n\nwhile factorial < x:\n n += 1\n factorial *= n\n\nsys.stdout.write(str(n))", "cost_usd": 0.0001229, "tokens_in": 257, "tokens_out": 162, "latency_s": 2.258}, {"task_id": "lcb-abc392_d", "model": "openai/gpt-5.6-luna", "prompt": "There are N dice.\r\nThe i-th die has K_i faces, with the numbers A_{i,1}, A_{i,2}, \\ldots, A_{i,K_i} written on them.\r\nWhen you roll this die, each face appears with probability \\frac{1}{K_i}.\nYou choose two dice from the N dice and roll them.\r\nDetermine the maximum probability that the two dice show the same number, when the dice are chosen optimally.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nK_1 A_{1,1} A_{1,2} \\dots A_{1,K_1}\r\n\\vdots\r\nK_N A_{N,1} A_{N,2} \\dots A_{N,K_N}\n\nOutput\n\nPrint the answer.\r\nYour answer is considered correct if the absolute or relative error from the true solution does not exceed 10^{-8}.\n\nConstraints\n\n\n- 2 \\leq N \\leq 100\n- 1 \\leq K_i\n- K_1 + K_2 + \\dots + K_N \\leq 10^5\n- 1 \\leq A_{i,j} \\leq 10^5\n- All input values are integers.\n\nSample Input 1\n\n3\r\n3 1 2 3\r\n4 1 2 2 1\r\n6 1 2 3 4 5 6\n\nSample Output 1\n\n0.333333333333333\r\n\n\n- When choosing the 1st and 2nd dice, the probability that the outcomes are the same is \\frac{1}{3}.\n- When choosing the 1st and 3rd dice, the probability is \\frac{1}{6}.\n- When choosing the 2nd and 3rd dice, the probability is \\frac{1}{6}.\n\nTherefore, the maximum probability is \\frac{1}{3} = 0.3333333333\\ldots.\n\nSample Input 2\n\n3\r\n5 1 1 1 1 1\r\n4 2 2 2 2\r\n3 1 1 2\n\nSample Output 2\n\n0.666666666666667\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\nUse the full constraints to choose a provably correct algorithm and suitable buffered I/O. Check every explicit condition and published example. Return only complete raw Python 3 source, without Markdown fences or prose.", "response": "import sys\n\ndata = list(map(int, sys.stdin.buffer.read().split()))\nn = data[0]\nidx = 1\n\ndice = []\nsizes = []\n\nfor _ in range(n):\n k = data[idx]\n idx += 1\n counts = {}\n for _ in range(k):\n value = data[idx]\n idx += 1\n counts[value] = counts.get(value, 0) + 1\n dice.append(counts)\n sizes.append(k)\n\nanswer = 0.0\n\nfor i in range(n):\n for j in range(i + 1, n):\n if len(dice[i]) <= len(dice[j]):\n small, large = dice[i], dice[j]\n else:\n small, large = dice[j], dice[i]\n\n common = 0\n for value, count in small.items():\n common += count * large.get(value, 0)\n\n probability = common / (sizes[i] * sizes[j])\n if probability > answer:\n answer = probability\n\nprint(f\"{answer:.15f}\")", "cost_usd": 0.00047519999999999995, "tokens_in": 546, "tokens_out": 701, "latency_s": 7.435}]
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