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+[{"task_id": "mmlu-189", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following is a structural, fibrous protein found in the dermis?\nA) Collagen\nB) Heparin\nC) Lipocyte\nD) Melanin\n\nAnswer with the letter only.", "response": "A", "cost_usd": 8.400000000000001e-06, "tokens_in": 54, "tokens_out": 5, "latency_s": 3.171}, {"task_id": "mmlu-10768", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Two companies, a construction company and a landscaping firm, got into a contract dispute over the nature of landscaping services that had to be provided to the construction company. The landscaping firm was incorporated in New York and did all of its business in that state. The construction company was an LLC that had been filed in New York, with its members being domiciled in Pennsylvania, Vermont and Virginia. The landscaping firm filed a breach of contract claim in federal court in New York claiming diversity jurisdiction with an amount in dispute that was in excess of $100,000. The construction firm filed a motion to dismiss, claiming the landscaper-plaintiff did not have diversity jurisdiction. Will the court likely grant the motion to dismiss?\nA) Yes, there is clearly no diversity in that the construction company LLC and the landscaper corporation were both registered and filed in New York, making them citizens of the same state.\nB) Yes, because diversity must be between natural citizens and business entities are not entitled to diversity but must find some other reason for federal jurisdiction.\nC) No, the motion to dismiss is premature and must wait until all discovery is completed before it will be considered.\nD) No, the plaintiff is a citizen of New York and the three members of the LLC are each from a different states, which gives complete diversity of citizenship.\n\nAnswer with the letter only.", "response": "D", "cost_usd": 3.1100000000000004e-05, "tokens_in": 281, "tokens_out": 5, "latency_s": 0.707}, {"task_id": "gsm8k-673", "model": "openai/gpt-5.6-luna", "prompt": "Janey has 3 more than twice the number of books that Sally has. If Janey has 21 books, how many does Sally have?\n\nReason step by step, then give the final answer as a single number.", "response": "Let Sally have \\(S\\) books.\n\nJaney has 3 more than twice Sally\u2019s books:\n\n\\[\n2S+3=21\n\\]\n\nSubtract 3:\n\n\\[\n2S=18\n\\]\n\nDivide by 2:\n\n\\[\nS=9\n\\]\n\n9", "cost_usd": 9.39e-05, "tokens_in": 51, "tokens_out": 148, "latency_s": 2.487}, {"task_id": "gsm8k-763", "model": "openai/gpt-5.6-luna", "prompt": "Rob, Royce, and Pedro are contractors getting ready to put a new roof on three homes. If the three homes will need 250 cases of shingles, with the first house needing 1/2 of the second, and the third needing double the first. How many cases of shingles will the third house need?\n\nReason step by step, then give the final answer as a single number.", "response": "Let the second house need \\(x\\) cases.\n\n- First house: \\(\\frac{x}{2}\\)\n- Third house: \\(2 \\times \\frac{x}{2}=x\\)\n\nTotal:\n\\[\n\\frac{x}{2}+x+x=250\n\\]\n\\[\n2.5x=250\n\\]\n\\[\nx=100\n\\]\n\nThe third house needs:\n\n\\[\n\\boxed{100}\n\\]", "cost_usd": 0.00010020000000000002, "tokens_in": 84, "tokens_out": 153, "latency_s": 2.301}, {"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.", "response": "import sys\n\nx = int(sys.stdin.readline())\nfactorial = 1\nn = 1\n\nwhile factorial < x:\n    n += 1\n    factorial *= n\n\nprint(n)", "cost_usd": 4.810000000000003e-05, "tokens_in": 217, "tokens_out": 44, "latency_s": 1.084}, {"task_id": "lcb-abc394_d", "model": "openai/gpt-5.6-luna", "prompt": "You are given a string S consisting of six types of characters: (, ), [, ], <, >.\nA string T is called a colorful bracket sequence if it satisfies the following condition:\n\nIt is possible to turn T into an empty string by repeating the following operation any number of times (possibly zero):\n\n- If there exists a contiguous substring of T that is one of (), [], or <>, choose one such substring and delete it.\n- If the deleted substring was at the beginning or end of T, the remainder becomes the new T.\n- Otherwise, concatenate the part before the deleted substring and the part after the deleted substring, and that becomes the new T.\n\n\nDetermine whether S is a colorful bracket sequence.\n\nInput\n\nThe input is given from Standard Input in the following format:\nS\n\nOutput\n\nIf S is a colorful bracket sequence, print Yes; otherwise, print No.\n\nConstraints\n\n\n- S is a string of length between 1 and 2\\times 10^5, inclusive.\n- S consists of (, ), [, ], <, >.\n\nSample Input 1\n\n([])<>()\n\nSample Output 1\n\nYes\n\nFor S=([])<>(), it is possible to turn it into an empty string by repeating the operation as follows:\n\n- Delete the substring [] from the 2nd to the 3rd character in ([])<>(), then concatenate the parts before and after it. The string becomes ()<>().\n- Delete the substring () from the 1st to the 2nd character in ()<>(). The string becomes <>().\n- Delete the substring <> from the 1st to the 2nd character in <>(). The string becomes ().\n- Delete the substring () from the 1st to the 2nd character in (). The string becomes empty.\n\nThus, S=([])<>() is a colorful bracket sequence, so print Yes.\n\nSample Input 2\n\n([<)]>\n\nSample Output 2\n\nNo\n\nSince S=([<)]> does not contain (), [], or <> as a contiguous substring, we cannot perform the 1st operation, and in particular S is not a colorful bracket sequence. Therefore, print No.\n\nSample Input 3\n\n())\n\nSample Output 3\n\nNo\n\nIt is impossible to turn S into an empty string by repeating the operations.\nTherefore, S is not a colorful bracket sequence, so print No.\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()\n\nstack = []\npairs = {')': '(', ']': '[', '>': '<'}\n\nfor ch in s:\n    if ch in '([{<':\n        stack.append(ch)\n    else:\n        if not stack or stack[-1] != pairs[ch]:\n            print(\"No\")\n            break\n        stack.pop()\nelse:\n    print(\"Yes\" if not stack else \"No\")", "cost_usd": 0.0001046, "tokens_in": 518, "tokens_out": 88, "latency_s": 0.886}]