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+[{"task_id": "mmlu-4007", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following would likely contribute to faster rates of economic growth?\nA) A more restrictive immigration policy\nB) Negative net investment\nC) Higher taxes on households and firms\nD) Higher government funding of research on clean energy supplies\n\nAnswer with the letter only.", "response": "D", "cost_usd": 9.5e-06, "tokens_in": 65, "tokens_out": 5, "latency_s": 3.33}, {"task_id": "mmlu-1148", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Let S be a compact topological space, let T be a topological space, and let f be a function from S onto T. Of the following conditions on f, which is the weakest condition sufficient to ensure the compactness of T?\nA) f is a homeomorphism.\nB) f is continuous and one-to-one\nC) f is continuous.\nD) f is one-to-one\n\nAnswer with the letter only.", "response": "C", "cost_usd": 1.28e-05, "tokens_in": 98, "tokens_out": 5, "latency_s": 0.543}, {"task_id": "gsm8k-220", "model": "openai/gpt-5.6-luna", "prompt": "It takes Carmen 10 minutes to finish a crossword puzzle and 5 minutes to finish a sudoku puzzle.  Over the weekend she solved 3 crossword puzzles and 8 sudoku puzzles.  How much time did she spend playing these games?\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 14960247408171604894; it is answer-independent metadata and must not appear in the answer.", "response": "3 crossword puzzles \u00d7 10 minutes = 30 minutes.  \n8 sudoku puzzles \u00d7 5 minutes = 40 minutes.  \nTotal time = 30 + 40 = 70 minutes.\n\n70", "cost_usd": 6.93e-05, "tokens_in": 111, "tokens_out": 97, "latency_s": 2.933}, {"task_id": "gsm8k-985", "model": "openai/gpt-5.6-luna", "prompt": "Edgar eats 18 pretzels a day. If his brother eats 1/2 as many, how many does his brother eat in a week?\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 1839807619562621667; it is answer-independent metadata and must not appear in the answer.", "response": "Edgar\u2019s brother eats half of 18 pretzels per day:\n\n18 \u00f7 2 = 9 pretzels per day\n\nIn one week:\n\n9 \u00d7 7 = 63 pretzels\n\n63", "cost_usd": 6.11e-05, "tokens_in": 95, "tokens_out": 86, "latency_s": 2.343}, {"task_id": "lcb-abc390_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given an integer sequence A=(A_1,A_2,A_3,A_4,A_5) obtained by permuting (1,2,3,4,5).\nDetermine whether A can be sorted in ascending order by performing exactly one operation of swapping two adjacent elements in A.\n\nInput\n\nThe input is given from Standard Input in the following format:\nA_1 A_2 A_3 A_4 A_5\n\nOutput\n\nIf A can be sorted in ascending order by exactly one operation, print Yes; otherwise, print No.\n\nConstraints\n\n\n- A is an integer sequence of length 5 obtained by permuting (1,2,3,4,5).\n\nSample Input 1\n\n1 2 4 3 5\n\nSample Output 1\n\nYes\r\n\nBy swapping A_3 and A_4, A becomes (1,2,3,4,5), so it can be sorted in ascending order. Therefore, print Yes.\n\nSample Input 2\n\n5 3 2 4 1\n\nSample Output 2\n\nNo\r\n\nNo matter what operation is performed, it is impossible to sort A in ascending order.\n\nSample Input 3\n\n1 2 3 4 5\n\nSample Output 3\n\nNo\r\n\nYou must perform exactly one operation.\n\nSample Input 4\n\n2 1 3 4 5\n\nSample Output 4\n\nYes\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\na = list(map(int, sys.stdin.buffer.read().split()))\ntarget = [1, 2, 3, 4, 5]\n\nfor i in range(4):\n    b = a[:]\n    b[i], b[i + 1] = b[i + 1], b[i]\n    if b == target:\n        print(\"Yes\")\n        break\nelse:\n    print(\"No\")\n", "cost_usd": 9.149999999999997e-05, "tokens_in": 369, "tokens_out": 91, "latency_s": 0.937}, {"task_id": "lcb-arc191_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given a string S of length N and a string T of length M, both consisting of digits from 1 to 9.\nYou will perform the following operation for k=1,2,\\ldots,M in order:\n\n- Choose an integer i such that 1 \\le i \\le N. Then, replace the i-th character of S with the k-th character of T.\n\nFind the maximum possible value of the resulting string S interpreted as an integer after performing the M operations.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\nS\nT\n\nOutput\n\nPrint the maximum possible value of the resulting string S interpreted as an integer after performing the M operations.\n\nConstraints\n\n\n- 1 \\le N,M \\le 10^6\n- N and M are integers.\n- S is a string of length N consisting of digits from 1 through 9.\n- T is a string of length M consisting of digits from 1 through 9.\n\nSample Input 1\n\n3 3\n191\n325\n\nSample Output 1\n\n593\n\nThe following sequence of operations is optimal:\n\n- For k=1: Choose i=3. Then, S = 193.\n- For k=2: Choose i=1. Then, S = 293.\n- For k=3: Choose i=1. Then, S = 593.\n\nIn this case, the value of S interpreted as an integer is 593, which is the maximum.\n\nSample Input 2\n\n3 9\n191\n998244353\n\nSample Output 2\n\n993\n\nSample Input 3\n\n11 13\n31415926535\n2718281828459\n\nSample Output 3\n\n98888976555\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 = sys.stdin.buffer.read().split()\nn = int(data[0])\nm = int(data[1])\ns = bytearray(data[2])\nt = data[3]\n\ncounts = [0] * 10\nfor c in t:\n    counts[c - 48] += 1\n\nhighest = 9\nfor i in range(n):\n    while highest > 0 and counts[highest] == 0:\n        highest -= 1\n    if highest > s[i] - 48:\n        s[i] = highest + 48\n        counts[highest] -= 1\n\nsys.stdout.buffer.write(s)\nsys.stdout.buffer.write(b\"\\n\")", "cost_usd": 0.0007342, "tokens_in": 436, "tokens_out": 1151, "latency_s": 13.033}, {"task_id": "lcb-arc191_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given a string S of length N and a string T of length M, both consisting of digits from 1 to 9.\nYou will perform the following operation for k=1,2,\\ldots,M in order:\n\n- Choose an integer i such that 1 \\le i \\le N. Then, replace the i-th character of S with the k-th character of T.\n\nFind the maximum possible value of the resulting string S interpreted as an integer after performing the M operations.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\nS\nT\n\nOutput\n\nPrint the maximum possible value of the resulting string S interpreted as an integer after performing the M operations.\n\nConstraints\n\n\n- 1 \\le N,M \\le 10^6\n- N and M are integers.\n- S is a string of length N consisting of digits from 1 through 9.\n- T is a string of length M consisting of digits from 1 through 9.\n\nSample Input 1\n\n3 3\n191\n325\n\nSample Output 1\n\n593\n\nThe following sequence of operations is optimal:\n\n- For k=1: Choose i=3. Then, S = 193.\n- For k=2: Choose i=1. Then, S = 293.\n- For k=3: Choose i=1. Then, S = 593.\n\nIn this case, the value of S interpreted as an integer is 593, which is the maximum.\n\nSample Input 2\n\n3 9\n191\n998244353\n\nSample Output 2\n\n993\n\nSample Input 3\n\n11 13\n31415926535\n2718281828459\n\nSample Output 3\n\n98888976555\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\nA generated legal case disagrees with an independently derived small-case reference. Solve the original problem again from first principles; do not patch or special-case this case.\nInput:\n3 9\n191\n998244353\n\nPrevious output:\n999\nReference output:\n993\nReturn only complete raw Python 3 source.", "response": "import sys\n\ndef main():\n    input = sys.stdin.readline\n    N, M = map(int, input().split())\n    S = input().strip()\n    T = input().strip()\n\n    last = int(T[-1])\n    counts = [0] * 10\n    for c in T[:-1]:\n        counts[ord(c) - 48] += 1\n\n    result = []\n    mandatory_used = False\n\n    for i, c in enumerate(S):\n        original = ord(c) - 48\n\n        if i == N - 1 and not mandatory_used:\n            result.append(str(last))\n            mandatory_used = True\n            continue\n\n        best_digit = 0\n        for d in range(9, 0, -1):\n            if counts[d] > 0 or (d == last and not mandatory_used):\n                best_digit = d\n                break\n\n        if best_digit > original:\n            result.append(str(best_digit))\n            if best_digit == last and not mandatory_used:\n                if counts[best_digit] > 0:\n                    counts[best_digit] -= 1\n                else:\n                    mandatory_used = True\n            else:\n                counts[best_digit] -= 1\n        else:\n            result.append(c)\n\n    sys.stdout.write(\"\".join(result))\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.0013671, "tokens_in": 459, "tokens_out": 2202, "latency_s": 24.398}]