| [{"task_id": "mmlu-9542", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following statements is true?\nImpaired foetal growth is described as intrauterine growth retardation (IUGR). IUGR has the same definition as:\n\nA) low birthweight (LBW)\nB) very low birthweight (VLBW)\nC) birth weight below a population threshold for gestational age\nD) pre-term birth\n\nAnswer with the letter only.", "response": "C", "cost_usd": 1.21e-05, "tokens_in": 91, "tokens_out": 5, "latency_s": 2.195}, {"task_id": "mmlu-2586", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] As of 2017, what percentage of Americans live in urban areas?\nA) 62%\nB) 72%\nC) 82%\nD) 92%\n\nAnswer with the letter only.", "response": "C", "cost_usd": 8.1e-06, "tokens_in": 51, "tokens_out": 5, "latency_s": 0.83}, {"task_id": "gsm8k-199", "model": "openai/gpt-5.6-luna", "prompt": "Mark is a copy-editor. He edits an equal number of sentences each week for two different publishers, who each pay him a different rate per sentence. Publisher B pays Mark twice what Publisher A pays. Mark edits a total number of 1000 sentences each week, and Publisher A pays him 5 cents per sentence. How much does Mark make in a week, in cents?\n\nReason step by step, then give the final answer as a single number.", "response": "1. Mark edits 1000 sentences total, split equally between the publishers: \n \\(1000 \\div 2 = 500\\) sentences each.\n\n2. Publisher A pays 5 cents per sentence: \n \\(500 \\times 5 = 2500\\) cents.\n\n3. Publisher B pays twice as much, so B pays 10 cents per sentence: \n \\(500 \\times 10 = 5000\\) cents.\n\n4. Total weekly pay: \n \\(2500 + 5000 = 7500\\) cents.\n\n7500", "cost_usd": 0.0001261, "tokens_in": 97, "tokens_out": 194, "latency_s": 4.312}, {"task_id": "gsm8k-623", "model": "openai/gpt-5.6-luna", "prompt": "Charmaine will be 16 years old in 12 years. How old will she be 4 years from now?\n\nReason step by step, then give the final answer as a single number.", "response": "- In 12 years, Charmaine will be 16.\n- So she is now \\(16 - 12 = 4\\) years old.\n- In 4 years, she will be \\(4 + 4 = 8\\).\n\n8", "cost_usd": 7.05e-05, "tokens_in": 45, "tokens_out": 110, "latency_s": 2.526}, {"task_id": "lcb-abc392_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given a sequence of integers A = (A_1, A_2, A_3).\r\nLet B = (B_1, B_2, B_3) be any permutation of A.\r\nDetermine whether it is possible that B_1 \\times B_2 = B_3.\n\nInput\n\nThe input is given from Standard Input in the following format:\nA_1 A_2 A_3\n\nOutput\n\nIf it is possible that B_1 \\times B_2 = B_3, print Yes; otherwise, print No.\n\nConstraints\n\n\n- All input values are integers.\n- 1 \\le A_1, A_2, A_3 \\le 100\n\nSample Input 1\n\n3 15 5\n\nSample Output 1\n\nYes\r\n\nHere, A=(3,15,5).\r\nBy rearranging it as B=(3,5,15), we can satisfy B_1 \\times B_2 = B_3.\n\nSample Input 2\n\n5 3 2\n\nSample Output 2\n\nNo\r\n\nNo permutation of B satisfies B_1 \\times B_2 = B_3.\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\na, b, c = map(int, sys.stdin.read().split())\n\nif a * b == c or a * c == b or b * c == a:\n print(\"Yes\")\nelse:\n print(\"No\")", "cost_usd": 0.000595, "tokens_in": 277, "tokens_out": 53, "latency_s": 1.402}, {"task_id": "lcb-abc399_c", "model": "openai/gpt-5.6-luna", "prompt": "You are given a simple undirected graph with N vertices and M edges, where the vertices are labeled 1 to N. The i-th edge connects vertices u_i and v_i.\r\nWhat is the minimum number of edges that need to be deleted from this graph so that the graph becomes a forest?\n\nWhat is a forest?\r\n\r\nA simple undirected graph F is called a forest if and only if F does not contain any cycle.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\r\nu_1 v_1\r\nu_2 v_2\r\n\\vdots\r\nu_M v_M\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 1 \\leq N \\leq 2 \\times 10^5\n- 0 \\leq M \\leq \\min \\left( \\frac{N(N-1)}{2}, 2 \\times 10^5\\right)\n- 1 \\leq u_i < v_i \\leq N\n- The given graph is simple.\n- All input values are integers.\n\nSample Input 1\n\n4 4\r\n1 2\r\n1 3\r\n2 4\r\n3 4\n\nSample Output 1\n\n1\r\n\nFor example, if you delete the first edge, the graph becomes a forest.\n\nSample Input 2\n\n5 0\n\nSample Output 2\n\n0\n\nSample Input 3\n\n10 10\r\n7 9\r\n4 6\r\n6 10\r\n2 5\r\n5 6\r\n5 9\r\n6 8\r\n4 8\r\n1 5\r\n1 4\n\nSample Output 3\n\n2\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.buffer.read().split()))\n if not data:\n return\n\n n, m = data[0], data[1]\n parent = list(range(n + 1))\n size = [1] * (n + 1)\n\n def find(x):\n while parent[x] != x:\n parent[x] = parent[parent[x]]\n x = parent[x]\n return x\n\n removed = 0\n idx = 2\n\n for _ in range(m):\n u, v = data[idx], data[idx + 1]\n idx += 2\n\n ru, rv = find(u), find(v)\n if ru == rv:\n removed += 1\n else:\n if size[ru] < size[rv]:\n ru, rv = rv, ru\n parent[rv] = ru\n size[ru] += size[rv]\n\n print(removed)\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.0002011999999999999, "tokens_in": 380, "tokens_out": 272, "latency_s": 3.106}] |