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+[{"task_id": "mmlu-13226", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Traditional approaches seek to explain why and how states have sought security. Which answer best describes the approach of traditional Security Studies?\nA) Traditional theories explain international politics as the distribution of power among members of an international system, and specifically as the balance of power amongst major states. The relative power and the constraints of a state are reflective of the security strategy of that state.\nB) The traditional approaches emerged in response to the Cold War, and to the accumulation of tension and competition between the two Superpowers. Traditional theories seek to explain behaviour in terms of arms accumulation.\nC) Traditional conceptions emerged to explain the clusters of norms and patterns of behaviour that result in management of conflict and cooperation in the international system, in specific spheres of activities.\nD) Traditional approaches are concerned with sovereignty. Sovereignty is a legal status; it gives the state control over a specified territory, means it is free from arbitrary intervention, and is responsible to no higher authority. Traditional theories examine the patterns of behaviour and relative cooperation of sovereign states in the international system.\n\nAnswer with the letter only.", "response": "A", "cost_usd": 2.53e-05, "tokens_in": 223, "tokens_out": 5, "latency_s": 1.779}, {"task_id": "mmlu-8094", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] The atmospheric concentration of which of the following gases is most likely to be directly affected by widespread deforestation?\nA) Carbon dioxide\nB) Ozone\nC) Nitrous oxide\nD) Argon\n\nAnswer with the letter only.", "response": "A", "cost_usd": 8.800000000000004e-06, "tokens_in": 58, "tokens_out": 5, "latency_s": 3.258}, {"task_id": "gsm8k-173", "model": "openai/gpt-5.6-luna", "prompt": "Jessica is trying to figure out how much to pay on all her debts each month. Her student loans have a minimum payment of $300/month, her credit card's minimum is $200/month, and her mortgage's minimum is $500/month. If Jessica wants to pay 50% more than the minimum, how much does she pay in a year?\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": "1. Add the monthly minimum payments:  \n   $300 + $200 + $500 = $1,000\n\n2. Pay 50% more than the minimum:  \n   $1,000 \u00d7 1.5 = $1,500 per month\n\n3. Calculate the yearly payment:  \n   $1,500 \u00d7 12 = $18,000\n\n18000", "cost_usd": 9.51e-05, "tokens_in": 135, "tokens_out": 136, "latency_s": 2.281}, {"task_id": "gsm8k-1009", "model": "openai/gpt-5.6-luna", "prompt": "Brook Hills High School currently enrolls 3000 students. Half of these students are over 16 years old, and one-fourth of the students over 16 years old are male. The remaining half of the students are under 16 years old, and one-half of the students under 16 are male. In total, how many female students are enrolled at this school?\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": "Total students over 16: \\(3000 \\times \\frac{1}{2} = 1500\\)\n\nMale students over 16: \\(1500 \\times \\frac{1}{4} = 375\\)\n\nFemale students over 16: \\(1500 - 375 = 1125\\)\n\nTotal students under 16: \\(3000 \\times \\frac{1}{2} = 1500\\)\n\nMale students under 16: \\(1500 \\times \\frac{1}{2} = 750\\)\n\nFemale students under 16: \\(1500 - 750 = 750\\)\n\nTotal female students: \\(1125 + 750 = 1875\\)\n\n1875", "cost_usd": 0.00013520000000000003, "tokens_in": 140, "tokens_out": 202, "latency_s": 2.969}, {"task_id": "lcb-abc392_b", "model": "openai/gpt-5.6-luna", "prompt": "You are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an integer between 1 and N, inclusive, and all elements are distinct.\nList all integers between 1 and N that do not appear in A in ascending order.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\nA_1 A_2 \\dots A_M\n\nOutput\n\nLet (X_1, X_2, \\dots, X_C) be the sequence of all integers between 1 and N, inclusive, that do not appear in A, listed in ascending order.\nThe output should be in the following format:\nC\nX_1 X_2 \\dots X_C\n\nConstraints\n\n\n- All input values are integers.\n- 1 \\le M \\le N \\le 1000\n- 1 \\le A_i \\le N\n- The elements of A are distinct.\n\nSample Input 1\n\n10 3\n3 9 2\n\nSample Output 1\n\n7\n1 4 5 6 7 8 10\n\nHere, A=(3,9,2).\nThe integers between 1 and 10 that do not appear in A, listed in ascending order, are 1,4,5,6,7,8,10.\n\nSample Input 2\n\n6 6\n1 3 5 2 4 6\n\nSample Output 2\n\n0\n\n\nNo integer between 1 and 6 is missing from A.\nIn this case, print 0 on the first line and leave the second line empty.\n\nSample Input 3\n\n9 1\n9\n\nSample Output 3\n\n8\n1 2 3 4 5 6 7 8\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\n\ndef main():\n    data = list(map(int, sys.stdin.buffer.read().split()))\n    n, m = data[0], data[1]\n    present = set(data[2:2 + m])\n    missing = [str(i) for i in range(1, n + 1) if i not in present]\n\n    print(len(missing))\n    print(\" \".join(missing))\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.0001268, "tokens_in": 488, "tokens_out": 130, "latency_s": 1.939}, {"task_id": "lcb-arc195_a", "model": "openai/gpt-5.6-luna", "prompt": "There is a sequence A = (A_1,\\dots,A_N). Determine whether there are at least two subsequences of A that match the sequence B = (B_1,\\dots,B_M). Two subsequences are distinguished if they are taken from different positions, even if they coincide as sequences.\n\nSubsequence\nA subsequence of A is a sequence obtained by removing zero or more elements from A and leaving the remaining elements in their original order.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\nA_1 A_2 \\ldots A_N\nB_1 B_2 \\ldots B_M\n\nOutput\n\nIf there are at least two subsequences of A that match B, print Yes. Otherwise, print No.\n\nConstraints\n\n\n- 1 \\leq M \\leq N \\leq 2\\times 10^5\n- 1 \\leq A_i \\leq 10^9\n- 1 \\leq B_i \\leq 10^9\n- All input values are integers.\n\nSample Input 1\n\n4 2\n1 2 1 2\n1 2\n\nSample Output 1\n\nYes\n\nThere are three subsequences of A that match B: (A_1,A_2), (A_1,A_4), (A_3,A_4).\n\nSample Input 2\n\n3 2\n1 2 1\n1 2\n\nSample Output 2\n\nNo\n\nThere is only one subsequence of A that matches B: (A_1,A_2).\n\nSample Input 3\n\n3 2\n1 1 2\n2 1\n\nSample Output 3\n\nNo\n\nThere are no subsequences of A that match B.\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\n\ndef main():\n    data = list(map(int, sys.stdin.buffer.read().split()))\n    n, m = data[0], data[1]\n    a = data[2:2 + n]\n    b = data[2 + n:2 + n + m]\n\n    first = [-1] * m\n    j = 0\n    for i, x in enumerate(a):\n        if j < m and x == b[j]:\n            first[j] = i\n            j += 1\n            if j == m:\n                break\n\n    if j < m:\n        print(\"No\")\n        return\n\n    last = [-1] * m\n    j = m - 1\n    for i in range(n - 1, -1, -1):\n        if j >= 0 and a[i] == b[j]:\n            last[j] = i\n            j -= 1\n            if j < 0:\n                break\n\n    print(\"Yes\" if first != last else \"No\")\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.0004954, "tokens_in": 478, "tokens_out": 746, "latency_s": 9.31}]