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+[{"task_id": "mmlu-5583", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] In a study on the effect of music on worker productivity, employees were told that a different genre of background music would be played each day and the corresponding production outputs noted. Every change in music resulted in an increase in production. This is an example of\nA) the effect of a treatment unit.\nB) the placebo effect.\nC) the control group effect.\nD) sampling error.\n\nAnswer with the letter only.", "response": "B", "cost_usd": 6.58e-05, "tokens_in": 94, "tokens_out": 94, "latency_s": 3.72}, {"task_id": "mmlu-7069", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU]  Advertising is employed as a defence, to retain customers, and to increase brand usage. Advertising is used to reinforce existing attitudes, not necessarily to drastically change them. This idea is based on:\nA) Strong theory.\nB) Weak theory.\nC) ATR framework.\nD) DRIP model.\n\nAnswer with the letter only.", "response": "B", "cost_usd": 4.18e-05, "tokens_in": 76, "tokens_out": 57, "latency_s": 2.433}, {"task_id": "gsm8k-511", "model": "openai/gpt-5.6-luna", "prompt": "Gerald works at a daycare that pays him $30 every day. He worked for an entire week and spent a total of $100. How much does he have left?\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 17223004084692678841; it is answer-independent metadata and must not appear in the answer.", "response": "He earned \\(7 \\times \\$30 = \\$210\\) in one week.  \nAfter spending \\$100, he had \\(210 - 100 = \\$110\\) left.\n\n110", "cost_usd": 7.039999999999999e-05, "tokens_in": 98, "tokens_out": 101, "latency_s": 2.705}, {"task_id": "gsm8k-784", "model": "openai/gpt-5.6-luna", "prompt": "Andy's car fuel efficiency is 10 MPG (miles per gallon). If the current price for regular gas is $3/gallon, how much money is Andy's car consuming per week if he only uses his car to go to work from Monday to Friday and the one-way distance between his home and office is 5 miles?\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 6658244868904452078; it is answer-independent metadata and must not appear in the answer.", "response": "One-way distance: 5 miles  \nDaily round-trip distance: 5 \u00d7 2 = 10 miles  \nWeekly distance: 10 \u00d7 5 = 50 miles  \nFuel used: 50 \u00f7 10 = 5 gallons  \nWeekly cost: 5 \u00d7 $3 = $15  \n\n15", "cost_usd": 8.68e-05, "tokens_in": 130, "tokens_out": 123, "latency_s": 2.794}, {"task_id": "lcb-abc399_b", "model": "openai/gpt-5.6-luna", "prompt": "N people labeled from 1 to N participated in a certain contest. The score of person i (1 \\leq i \\leq N) was P_i.\nIn this contest, the rank of each of the N people is determined by the following procedure:\n\n- Prepare a variable r, and initialize r = 1. Initially, the ranks of the N people are all undetermined.\n- Repeat the following operation until the ranks of all N people are determined:\n- Let x be the maximum score among the people whose ranks are currently undetermined, and let k be the number of people whose score is x. Determine the rank of those k people with score x to be r, and then add k to r.\n\n\n\nPrint the rank of each of the N people.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nP_1 P_2 \\dots P_N\n\nOutput\n\nPrint N lines. The i-th line (1 \\leq i \\leq N) should contain the rank of person i as an integer.\n\nConstraints\n\n\n- 1\\leq N \\leq 100\n- 1\\leq P_i \\leq 100\n- All input values are integers.\n\nSample Input 1\n\n4\r\n3 12 9 9\n\nSample Output 1\n\n4\r\n1\r\n2\r\n2\r\n\nThe ranks of the N\\ (=4) people are determined as follows:\n\n- Prepare a variable r and initialize r=1. At first, the ranks of all 4 people are undetermined.\n- Currently, persons 1, 2, 3, 4 have undetermined ranks. The maximum score among them is P_2\\ (=12). Therefore, determine the rank of person 2 to be r\\ (=1), and then add 1 to r, making r=2.\n- Currently, persons 1, 3, 4 have undetermined ranks. The maximum score among them is P_3=P_4\\ (=9). Therefore, determine the ranks of persons 3 and 4 to be r\\ (=2), and then add 2 to r, making r=4.\n- Currently, person 1 has an undetermined rank. The maximum score among them is P_1\\ (=3). Therefore, determine the rank of person 1 to be r\\ (=4), and then add 1 to r, making r=5.\n- The ranks of all 4 people are now determined, so the process ends.\n\nSample Input 2\n\n3\r\n3 9 6\n\nSample Output 2\n\n3\r\n1\r\n2\n\nSample Input 3\n\n4\r\n100 100 100 100\n\nSample Output 3\n\n1\r\n1\r\n1\r\n1\n\nSample Input 4\n\n8\r\n87 87 87 88 41 38 41 38\n\nSample Output 4\n\n2\r\n2\r\n2\r\n1\r\n5\r\n7\r\n5\r\n7\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\ndef main():\n    data = list(map(int, sys.stdin.buffer.read().split()))\n    n = data[0]\n    scores = data[1:]\n    \n    rank = [0] * n\n    current_rank = 1\n    for score in sorted(set(scores), reverse=True):\n        indices = [i for i, value in enumerate(scores) if value == score]\n        for i in indices:\n            rank[i] = current_rank\n        current_rank += len(indices)\n    \n    sys.stdout.write(\"\\n\".join(map(str, rank)))\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.0001471, "tokens_in": 691, "tokens_out": 130, "latency_s": 1.557}, {"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\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\nimport math\n\nN = int(sys.stdin.buffer.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": 0.00038159999999999995, "tokens_in": 318, "tokens_out": 583, "latency_s": 6.325}]