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+[{"task_id": "mmlu-4614", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following situations best exemplifies the concept of consumer surplus?\nA) It refers to a consumer who no longer has any outstanding debts.\nB) The federal government has taken in more revenue than it has paid out in expenditures.\nC) A consumer pays more for a pizza than she thought it was worth at the margin of the purchase.\nD) A consumer pays less for a pizza than she thought it was worth at the margin of the purchase.\n\nAnswer with the letter only.", "response": "D", "cost_usd": 1.37e-05, "tokens_in": 107, "tokens_out": 5, "latency_s": 1.654}, {"task_id": "mmlu-9461", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following vitamins is required for fatty acid b-oxidation?\n\nA) Niacin\nB) Riboflavin\nC) Thiamin\nD) Vitamin C\n\nAnswer with the letter only.", "response": "B", "cost_usd": 8.4e-06, "tokens_in": 54, "tokens_out": 5, "latency_s": 0.747}, {"task_id": "gsm8k-1184", "model": "openai/gpt-5.6-luna", "prompt": "To heat during the winter, Ali ordered 850 kilos of coal. The coal is delivered in 50 kg bags, costing $18 per unit. How much does his order cost?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and put only the final numeric result on the last line. Audit marker 8947491213205318577 is answer-independent metadata; do not reproduce it.", "response": "850 \u00f7 50 = 17 bags  \n17 \u00d7 $18 = $306  \n\n306", "cost_usd": 4.67e-05, "tokens_in": 95, "tokens_out": 62, "latency_s": 4.22}, {"task_id": "gsm8k-741", "model": "openai/gpt-5.6-luna", "prompt": "Jeremy saw 12 birds in their backyard and threw a stone at them, scaring away 1/3 of that number. A few minutes later, 20 more birds joined the fearless birds. How many birds are now in the backyard?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and put only the final numeric result on the last line. Audit marker 15964644920465611060 is answer-independent metadata; do not reproduce it.", "response": "There were 12 birds initially.\n\nOne-third of 12 is 4, so 4 birds flew away.\n\nThat leaves 8 birds. Then 20 more joined them:\n\n8 + 20 = 28\n\n28", "cost_usd": 7.67e-05, "tokens_in": 107, "tokens_out": 110, "latency_s": 3.173}, {"task_id": "lcb-abc389_b", "model": "openai/gpt-5.6-luna", "prompt": "You are given an integer X not less than 2.\nFind the positive integer N such that N! = X.\nHere, N! denotes the factorial of N, and it is guaranteed that there is exactly one such N.\n\nInput\n\nThe input is given from Standard Input in the following format:\nX\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 2 \\leq X \\leq 3 \\times 10^{18}\n- There is exactly one positive integer N such that N!=X.\n- All input values are integers.\n\nSample Input 1\n\n6\n\nSample Output 1\n\n3\r\n\nFrom 3!=3\\times2\\times1=6, print 3.\n\nSample Input 2\n\n2432902008176640000\n\nSample Output 2\n\n20\r\n\nFrom 20!=2432902008176640000, print 20.\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\nDerive a complete solution from the full statement and constraints. Privately create a small-state specification and use it to challenge your algorithm. Check boundaries, ordering, multiplicity, repeated values, overflow, and complexity. Trace every published example and return only complete raw Python 3 source with no Markdown or prose.", "response": "x = int(input())\nfactorial = 1\nn = 1\n\nwhile factorial < x:\n    n += 1\n    factorial *= n\n\nprint(n)\n", "cost_usd": 0.00010769999999999999, "tokens_in": 279, "tokens_out": 133, "latency_s": 2.667}, {"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\nDerive a complete solution from the full statement and constraints. Privately create a small-state specification and use it to challenge your algorithm. Check boundaries, ordering, multiplicity, repeated values, overflow, and complexity. Trace every published example and return only complete raw Python 3 source with no Markdown or prose.", "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    earliest = [-1] * m\n    j = 0\n    for i, value in enumerate(a):\n        if j < m and value == b[j]:\n            earliest[j] = i\n            j += 1\n            if j == m:\n                break\n\n    if j < m:\n        print(\"No\")\n        return\n\n    latest = [-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            latest[j] = i\n            j -= 1\n            if j < 0:\n                break\n\n    print(\"Yes\" if earliest != latest else \"No\")\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.0004943, "tokens_in": 467, "tokens_out": 746, "latency_s": 8.226}]