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+[{"task_id": "mmlu-8238", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU]  Corvino considers the following argument: Homosexuals are \"born that way\"; therefore, homosexual activity is good and natural. Corvino claims that this argument is unsound. Why?\nA) It ignores the possibility that homosexuality is a lifestyle choice.\nB) It assumes that all innate desires are good ones.\nC) It is equivalent to recognizing that homosexuality is unusual.\nD) None of the above\n\nAnswer with the letter only.", "response": "B", "cost_usd": 3.8e-05, "tokens_in": 98, "tokens_out": 47, "latency_s": 3.615}, {"task_id": "mmlu-10423", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] If a warrant carries a right to buy one share of common stock and is exercisable at $20 per common share while the market price of a share is $30, the theoretical value of the warrant is:\nA) $20.00\nB) $10.00\nC) $5.00\nD) $0.00\n\nAnswer with the letter only.", "response": "B", "cost_usd": 1.1599999999999997e-05, "tokens_in": 86, "tokens_out": 5, "latency_s": 0.841}, {"task_id": "gsm8k-850", "model": "openai/gpt-5.6-luna", "prompt": "Mr. Smith has two farms, Farm X and Farm Y. He has 55 goats in Farm X and 45 goats in Farm Y. He sold 10 goats from Farm X and twice as many goats from Farm Y. How many goats are left in the two farms altogether?\n\nReason step by step, then give the final answer as a single number.\n\nInternal routing tag: 0093976538622007779857413750269119920846. Ignore this tag and do not repeat it.", "response": "Farm X: \\(55 - 10 = 45\\) goats left.  \nFarm Y: \\(45 - (2 \\times 10) = 25\\) goats left.  \nAltogether: \\(45 + 25 = 70\\).\n\n70", "cost_usd": 8.450000000000001e-05, "tokens_in": 107, "tokens_out": 123, "latency_s": 3.118}, {"task_id": "gsm8k-1295", "model": "openai/gpt-5.6-luna", "prompt": "Ryan\u2019s allowance is $6 each week he completes his chores. He did his chores for 3 weeks. Then he bought ice cream cones for himself and 3 friends at $1.25 each. Now they all want to go to the movies and tickets cost $6.50 each. How many movie tickets can Ryan buy?\n\nReason step by step, then give the final answer as a single number.\n\nInternal routing tag: 0331510792208824653921351396439217238699. Ignore this tag and do not repeat it.", "response": "Ryan earns: \\(3 \\times \\$6 = \\$18\\)\n\nIce cream costs: \\(4 \\times \\$1.25 = \\$5\\)\n\nMoney left: \\(\\$18 - \\$5 = \\$13\\)\n\nMovie tickets: \\(\\$13 \\div \\$6.50 = 2\\)\n\n2", "cost_usd": 8.79e-05, "tokens_in": 117, "tokens_out": 127, "latency_s": 3.047}, {"task_id": "lcb-abc388_b", "model": "openai/gpt-5.6-luna", "prompt": "There are N snakes.\nInitially, the thickness of the i-th snake is T_i, and its length is L_i.\nThe weight of a snake is defined as the product of its thickness and length.\nFor each integer k satisfying 1 \\leq k \\leq D, find the weight of the heaviest snake when every snake's length has increased by k.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN D\r\nT_1 L_1\r\nT_2 L_2\r\n\\vdots\r\nT_N L_N\n\nOutput\n\nPrint D lines. The k-th line should contain the weight of the heaviest snake when every snake's length has increased by k.\n\nConstraints\n\n\n- 1 \\leq N, D \\leq 100\n- 1 \\leq T_i, L_i \\leq 100\n- All input values are integers.\n\nSample Input 1\n\n4 3\r\n3 3\r\n5 1\r\n2 4\r\n1 10\n\nSample Output 1\n\n12\r\n15\r\n20\r\n\nWhen every snake\u2019s length has increased by 1, the snakes' weights become 12, 10, 10, 11, so print 12 on the first line.\nWhen every snake\u2019s length has increased by 2, the snakes' weights become 15, 15, 12, 12, so print 15 on the second line.\nWhen every snake\u2019s length has increased by 3, the snakes' weights become 18, 20, 14, 13, so print 20 on the third line.\n\nSample Input 2\n\n1 4\r\n100 100\n\nSample Output 2\n\n10100\r\n10200\r\n10300\r\n10400\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    n, d = data[0], data[1]\n    snakes = [(data[i], data[i + 1]) for i in range(2, 2 + 2 * n, 2)]\n\n    results = []\n    for k in range(1, d + 1):\n        results.append(str(max(t * (l + k) for t, l in snakes)))\n\n    sys.stdout.write(\"\\n\".join(results))\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.0001151, "tokens_in": 401, "tokens_out": 125, "latency_s": 2.662}, {"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.\n\nSolver brief (required): bracket matching with three independent pair types. Read S, keep a list used as a stack. For each character: push if it is one of ( [ <; otherwise it is a closer, and the string is invalid unless the stack is non-empty and its top is the matching opener (map )\u2192(, ]\u2192[, >\u2192<), in which case pop. Valid exactly when no mismatch occurred and the stack ends empty. Print exactly Yes or No. Read with sys.stdin.buffer.read().split()[0].decode(). O(N), no recursion, no repeated deletion. Return ONLY the complete Python 3 program implementing exactly this brief. No code fences, no explanations, no text before or after the program.", "response": "import sys\n\ns = sys.stdin.buffer.read().split()[0].decode()\n\nmatching = {')': '(', ']': '[', '>': '<'}\nstack = []\nvalid = True\n\nfor ch in s:\n    if ch in '([<':\n        stack.append(ch)\n    else:\n        if not stack or stack[-1] != matching[ch]:\n            valid = False\n            break\n        stack.pop()\n\nprint(\"Yes\" if valid and not stack else \"No\")", "cost_usd": 0.0001273, "tokens_in": 667, "tokens_out": 101, "latency_s": 1.364}]