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+[{"task_id": "mmlu-2666", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following mental disorders is most prevalent in the world?\nA) Bipolar disorder\nB) Schizophrenia\nC) Alcohol use disorders\nD) Anxiety disorders\n\nAnswer with the letter only.", "response": "D", "cost_usd": 2.51e-05, "tokens_in": 53, "tokens_out": 33, "latency_s": 2.927}, {"task_id": "mmlu-717", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Alterations in which neurotransmitters in the brain by pharmacological agents has been shown to influence fatigue development?\nA) Acetyl choline and noradrenaline.\nB) Dopamine and acetyl choline.\nC) Glutamate and serotonin.\nD) Dopamine and serotonin.\n\nAnswer with the letter only.", "response": "D", "cost_usd": 1.06e-05, "tokens_in": 76, "tokens_out": 5, "latency_s": 0.735}, {"task_id": "gsm8k-1146", "model": "openai/gpt-5.6-luna", "prompt": "Adam has $100 and wants to spend it to open a rock stand. He can buy rocks for $5 each and sell them for $7 each. If he invests all his money in the rock stand but only sells 60% of his inventory, how much money does he lose?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and place the final numeric answer alone on the last line. The following fixed provenance sentinel is unrelated to the problem and must not appear in the response: 271828182845904523536", "response": "He buys \\(100 \\div 5 = 20\\) rocks.\n\nHe sells \\(60\\%\\) of them: \\(20 \\times 0.6 = 12\\) rocks.\n\nHis sales revenue is \\(12 \\times 7 = 84\\) dollars.\n\nHis cash shortfall is \\(100 - 84 = 16\\) dollars.\n\n16", "cost_usd": 0.000176, "tokens_in": 122, "tokens_out": 273, "latency_s": 4.003}, {"task_id": "gsm8k-394", "model": "openai/gpt-5.6-luna", "prompt": "Wendy wants to place 20 more than double the number of books in a shelving system with 6 rows and 6 columns. How many books will she need to carry to complete her task?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and place the final numeric answer alone on the last line. The following fixed provenance sentinel is unrelated to the problem and must not appear in the response: 271828182845904523536", "response": "The shelving system has:\n\n6 \u00d7 6 = 36 books\n\nDouble that number:\n\n2 \u00d7 36 = 72\n\nAdd 20 more books:\n\n72 + 20 = 92\n\n92", "cost_usd": 6.740000000000001e-05, "tokens_in": 104, "tokens_out": 95, "latency_s": 2.142}, {"task_id": "lcb-abc400_a", "model": "openai/gpt-5.6-luna", "prompt": "In the ceremony commemorating ABC400, we want to arrange 400 people in a rectangular formation of A rows and B columns without any gaps.\nYou are given a positive integer A. Print the value of a positive integer B for which such an arrangement is possible. If there is no such positive integer B, print -1.\n\nInput\n\nThe input is given from Standard Input in the following format:\nA\n\nOutput\n\nPrint the value of B or -1 as specified by the problem statement.\n\nConstraints\n\n\n- A is an integer between 1 and 400, inclusive.\n\nSample Input 1\n\n10\n\nSample Output 1\n\n40\r\n\nWe can arrange 400 people in 10 rows and 40 columns.\n\nSample Input 2\n\n11\n\nSample Output 2\n\n-1\n\nSample Input 3\n\n400\n\nSample Output 3\n\n1\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\nBefore writing the program, privately perform two independent reviews. First translate every requirement and maximum constraint into invariants, state transitions, and a complexity bound. Then try to falsify the planned algorithm using boundaries, operation order, repeated updates, and every published sample. Reconcile any conflict before answering. Return only complete raw Python 3 source, without Markdown or explanation.", "response": "a = int(input())\nprint(400 // a if 400 % a == 0 else -1)", "cost_usd": 6.629999999999999e-05, "tokens_in": 285, "tokens_out": 63, "latency_s": 2.156}, {"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\nBefore writing the program, privately perform two independent reviews. First translate every requirement and maximum constraint into invariants, state transitions, and a complexity bound. Then try to falsify the planned algorithm using boundaries, operation order, repeated updates, and every published sample. Reconcile any conflict before answering. Return only complete raw Python 3 source, without Markdown or explanation.", "response": "import sys\nfrom bisect import bisect_left\n\ndata = sys.stdin.buffer.read().split()\nn = int(data[0])\nm = int(data[1])\ns = data[2]\nt = data[3]\n\nsuffix_max = bytearray(m + 1)\nfor i in range(m - 1, -1, -1):\n    d = t[i] - 48\n    suffix_max[i] = d if d > suffix_max[i + 1] else suffix_max[i + 1]\n\npositions = [[] for _ in range(10)]\nfor i, c in enumerate(t):\n    positions[c - 48].append(i)\n\nans = bytearray(s)\np = 0\n\nfor i in range(n):\n    if p == m:\n        break\n    best = suffix_max[p]\n    current = ans[i] - 48\n    if best > current:\n        idx = bisect_left(positions[best], p)\n        p = positions[best][idx] + 1\n        ans[i] = best + 48\n\nsys.stdout.buffer.write(ans + b\"\\n\")", "cost_usd": 0.0009372999999999999, "tokens_in": 469, "tokens_out": 1484, "latency_s": 18.642}]