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+[{"task_id": "mmlu-13236", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following best describes the existing legacy of structural adjustment policies?\nA) Structural adjustment policies have been largely successful in achieving their aims of macroeconomic security in the developing world.\nB) The neoliberal principles on which structural adjustment policies have been based have proven well suited to promoting human welfare in developing countries.\nC) Neoliberal based adjustment policies have caused great and unnecessary hardship in developing countries and there is still no evidence they achieved their objectives for macroeconomic stability and growth.\nD) There is significant evidence that structural adjustment policies have promoted economic growth and macroeconomic stability in the countries in which they were applied.\n\nAnswer with the letter only.", "response": "C", "cost_usd": 1.68e-05, "tokens_in": 138, "tokens_out": 5, "latency_s": 2.091}, {"task_id": "mmlu-5495", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Fifty oranges of one variety were selected at random and weighed. A 95 percent confidence interval computed from the sample weights to estimate the mean weight of oranges of this variety is (7.58, 8.72) ounces. Which of the following statements is true with respect to the confidence level used?\nA) In repeated samplings of the same size, 95 percent of the intervals constructed will contain the true mean weight of the oranges of this variety.\nB) In repeated samplings of the same size, 95 percent of the intervals constructed will contain the sampled mean weight of the oranges.\nC) Ninety-five percent of the oranges in this sample weigh between 7.58 and 8.72 ounces.\nD) Ninety-five percent of the oranges of this variety weigh between 7.58 and 8.72 ounces.\n\nAnswer with the letter only.", "response": "A", "cost_usd": 2.16e-05, "tokens_in": 186, "tokens_out": 5, "latency_s": 1.694}, {"task_id": "gsm8k-1178", "model": "openai/gpt-5.6-luna", "prompt": "Mike bought 5 face masks while Johnny bought 2 more than thrice as many as Mike. How many face masks did Johnny buy?\n\nReason step by step, then give the final answer as a single number.\n\nWork the problem in the exact units the question asks for and end with the final numeric answer alone on the last line. [Audit marker 15372503468820584072: metadata only - disregard it entirely and do not quote it in the reply.]", "response": "Mike bought 5 face masks.\n\nJohnny bought 2 more than thrice as many:\n\\(3 \\times 5 + 2 = 17\\)\n\n17", "cost_usd": 6.039999999999999e-05, "tokens_in": 100, "tokens_out": 84, "latency_s": 2.661}, {"task_id": "gsm8k-884", "model": "openai/gpt-5.6-luna", "prompt": "Argo has 200 toys. He gives 40 toys to Alyssa, 80 to Bonnie, and 30 to Nicky. How many toys does Argo have now?\n\nReason step by step, then give the final answer as a single number.\n\nWork the problem in the exact units the question asks for and end with the final numeric answer alone on the last line. [Audit marker 10826604647193943274: metadata only - disregard it entirely and do not quote it in the reply.]", "response": "Argo gives away:\n40 + 80 + 30 = 150 toys.\n\nToys remaining:\n200 \u2212 150 = 50\n\n50", "cost_usd": 5.649999999999999e-05, "tokens_in": 109, "tokens_out": 76, "latency_s": 2.267}, {"task_id": "lcb-abc400_b", "model": "openai/gpt-5.6-luna", "prompt": "You are given two positive integers N and M.\nLet X = \\displaystyle\\sum_{i = 0}^{M} N^i. If X \\leq 10^9, print the value of X. If X > 10^9, print inf.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\n\nOutput\n\nPrint the value of X or inf as specified by the problem statement.\n\nConstraints\n\n\n- 1 \\leq N \\leq 10^9\n- 1 \\leq M \\leq 100\n- All input values are integers.\n\nSample Input 1\n\n7 3\n\nSample Output 1\n\n400\r\n\nX = 1 + 7 + 49 + 343 = 400. Since 400 \\leq 10^9, print 400.\n\nSample Input 2\n\n1000000 2\n\nSample Output 2\n\ninf\r\n\nX = 1000001000001 > 10^9, so print inf.\n\nSample Input 3\n\n999999999 1\n\nSample Output 3\n\n1000000000\n\nSample Input 4\n\n998244353 99\n\nSample Output 4\n\ninf\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\nReturn ONLY raw complete Python 3 source, no Markdown fences, no prose, no explanation around the code.", "response": "n, m = map(int, input().split())\n\nlimit = 10**9\ntotal = 0\npower = 1\n\nfor _ in range(m + 1):\n    total += power\n    if total > limit:\n        print(\"inf\")\n        break\n    power *= n\nelse:\n    print(total)\n", "cost_usd": 7.36e-05, "tokens_in": 310, "tokens_out": 71, "latency_s": 1.054}, {"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\nSolution contract for this task (the plain readings of the rules are where solutions go wrong): operation k is forced - it must overwrite some position with T[k] - but the position is free, so any digit you do not want in the final string can be dumped onto a position that a later operation will overwrite, and the final operation is never overwritten. The reachable final strings are therefore exactly: the last digit of T used precisely once, plus any sub-multiset of the earlier digits of T written onto distinct positions. Maximise in one left-to-right pass over S: count the digits of T[:-1] into cnt, set mandatory = int(T[-1]) with a flag mandatory_available = True. At each position consider the largest digit offered by cnt together with the mandatory token, and replace S[i] only when that digit is strictly greater than the current one. TIE RULE: when the chosen digit equals mandatory and the mandatory token is still available, spend the mandatory token BEFORE any optional token of the same value - this satisfies the forced final operation without changing the greedy output. After the scan, if the mandatory token is still unspent: if the mandatory digit already occurs anywhere in the resulting string, spend it on such a position (no visible change); only if it occurs nowhere overwrite the LAST position of S, where it costs the least. O(N + M) time: no sorting of T, no heap, no step-by-step simulation. Pinned samples from the statement (compare the complete input token list): [3,3,191,325] prints exactly 593; [3,9,191,998244353] prints exactly 993; [11,13,31415926535,2718281828459] prints exactly 98888976555. Never pin any input not listed here. Read all of stdin at once with sys.stdin.buffer.read().split(). Return ONLY raw complete Python 3 source, no Markdown fences, no prose, no explanation around the code.", "response": "import sys\n\ndata = sys.stdin.buffer.read().split()\nN = int(data[0])\nM = int(data[1])\ns = list(data[2].decode())\nt = data[3].decode()\n\ncnt = [0] * 10\nfor ch in t[:-1]:\n    cnt[ord(ch) - 48] += 1\n\nmandatory = ord(t[-1]) - 48\navailable = True\n\nfor i, ch in enumerate(s):\n    best = mandatory if available else 0\n    for d in range(9, 0, -1):\n        if cnt[d]:\n            best = max(best, d)\n            break\n\n    cur = ord(ch) - 48\n\n    if best > cur:\n        if available and best == mandatory:\n            available = False\n        else:\n            cnt[best] -= 1\n        s[i] = chr(best + 48)\n    elif best == cur and available and best == mandatory:\n        available = False\n\nif available:\n    target = chr(mandatory + 48)\n    try:\n        idx = s.index(target)\n    except ValueError:\n        s[-1] = target\n\nsys.stdout.write(''.join(s))", "cost_usd": 0.0005434, "tokens_in": 802, "tokens_out": 772, "latency_s": 9.221}]