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+[{"task_id": "mmlu-8142", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] What is the name of Raggedy Ann's doll brother?\nA) Red\nB) Freckles\nC) Randy\nD) Andy\n\nAnswer with the letter only.", "response": "D", "cost_usd": 7.6e-06, "tokens_in": 46, "tokens_out": 5, "latency_s": 1.615}, {"task_id": "mmlu-10028", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] The \u201cLion Man\u201d from Hohlenstein-Stadel cave is an example of:\nA) mobiliary art.\nB) long-distance trade of exotic raw materials.\nC) parietal art.\nD) a Venus figurine.\n\nAnswer with the letter only.", "response": "A", "cost_usd": 9.4e-06, "tokens_in": 64, "tokens_out": 5, "latency_s": 1.195}, {"task_id": "gsm8k-896", "model": "openai/gpt-5.6-luna", "prompt": "John rents his car out 10 times a month for 3 hours each time.  He gets paid $25 an hour.  If his car payment is $500, how much profit does he make on his car?\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 8265081130441548779 is answer-independent metadata; do not reproduce it.", "response": "He rents the car for:\n\n10 \u00d7 3 = 30 hours per month\n\nHis monthly earnings are:\n\n30 \u00d7 $25 = $750\n\nSubtracting the $500 car payment:\n\n$750 \u2212 $500 = $250\n\n250", "cost_usd": 7.389999999999998e-05, "tokens_in": 103, "tokens_out": 106, "latency_s": 2.285}, {"task_id": "gsm8k-794", "model": "openai/gpt-5.6-luna", "prompt": "A zookeeper is counting how many lions are in their enclosure. She counts 12 female lions, half as many male lions, and 14 lion cubs. How many lions are in the enclosure?\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 63392836964834424 is answer-independent metadata; do not reproduce it.", "response": "There are 12 female lions.\n\nHalf as many male lions means \\(12 \\div 2 = 6\\) male lions.\n\nAdding the cubs: \\(12 + 6 + 14 = 32\\).\n\n32", "cost_usd": 6.68e-05, "tokens_in": 98, "tokens_out": 95, "latency_s": 2.237}, {"task_id": "lcb-abc396_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given an integer sequence of length N: A = (A_1,A_2,\\ldots,A_N).\nDetermine whether there is a place in A where the same element appears three or more times in a row.\nMore formally, determine whether there exists an integer i with 1 \\le i \\le N-2 such that A_i = A_{i+1} = A_{i+2}.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nA_1 A_2 \\ldots A_N\n\nOutput\n\nIf there is a place in A where the same element appears three or more times in a row, print Yes. Otherwise, print No.\n\nConstraints\n\n\n- 3 \\le N \\le 100\n- 1 \\le A_i \\le 100\n- All input values are integers.\n\nSample Input 1\n\n5\r\n1 4 4 4 2\n\nSample Output 1\n\nYes\r\n\nWe have A=(1,4,4,4,2). There is a place where 4 appears three times in a row, so print Yes.\n\nSample Input 2\n\n6\r\n2 4 4 2 2 4\n\nSample Output 2\n\nNo\r\n\nWe have A=(2,4,4,2,2,4). There is no place where the same element appears three or more times in a row, so print No.\n\nSample Input 3\n\n8\r\n1 4 2 5 7 7 7 2\n\nSample Output 3\n\nYes\n\nSample Input 4\n\n10\r\n1 2 3 4 5 6 7 8 9 10\n\nSample Output 4\n\nNo\n\nSample Input 5\n\n13\r\n1 1 1 1 1 1 1 1 1 1 1 1 1\n\nSample Output 5\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\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\ndata = list(map(int, sys.stdin.buffer.read().split()))\nn = data[0]\na = data[1:1 + n]\n\nprint(\"Yes\" if any(a[i] == a[i + 1] == a[i + 2] for i in range(n - 2)) else \"No\")", "cost_usd": 0.00012140000000000002, "tokens_in": 500, "tokens_out": 119, "latency_s": 1.986}, {"task_id": "lcb-abc394_d", "model": "openai/gpt-5.6-luna", "prompt": "You are given a string S consisting of six types of characters: (, ), [, ], <, >.\nA string T is called a colorful bracket sequence if it satisfies the following condition:\n\nIt is possible to turn T into an empty string by repeating the following operation any number of times (possibly zero):\n\n- If there exists a contiguous substring of T that is one of (), [], or <>, choose one such substring and delete it.\n- If the deleted substring was at the beginning or end of T, the remainder becomes the new T.\n- Otherwise, concatenate the part before the deleted substring and the part after the deleted substring, and that becomes the new T.\n\n\nDetermine whether S is a colorful bracket sequence.\n\nInput\n\nThe input is given from Standard Input in the following format:\nS\n\nOutput\n\nIf S is a colorful bracket sequence, print Yes; otherwise, print No.\n\nConstraints\n\n\n- S is a string of length between 1 and 2\\times 10^5, inclusive.\n- S consists of (, ), [, ], <, >.\n\nSample Input 1\n\n([])<>()\n\nSample Output 1\n\nYes\n\nFor S=([])<>(), it is possible to turn it into an empty string by repeating the operation as follows:\n\n- Delete the substring [] from the 2nd to the 3rd character in ([])<>(), then concatenate the parts before and after it. The string becomes ()<>().\n- Delete the substring () from the 1st to the 2nd character in ()<>(). The string becomes <>().\n- Delete the substring <> from the 1st to the 2nd character in <>(). The string becomes ().\n- Delete the substring () from the 1st to the 2nd character in (). The string becomes empty.\n\nThus, S=([])<>() is a colorful bracket sequence, so print Yes.\n\nSample Input 2\n\n([<)]>\n\nSample Output 2\n\nNo\n\nSince S=([<)]> does not contain (), [], or <> as a contiguous substring, we cannot perform the 1st operation, and in particular S is not a colorful bracket sequence. Therefore, print No.\n\nSample Input 3\n\n())\n\nSample Output 3\n\nNo\n\nIt is impossible to turn S into an empty string by repeating the operations.\nTherefore, S is not a colorful bracket sequence, so print No.\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\ns = sys.stdin.readline().strip()\nmatching = {')': '(', ']': '[', '>': '<'}\nstack = []\n\nfor ch in s:\n    if ch in '([<':\n        stack.append(ch)\n    else:\n        if not stack or stack[-1] != matching[ch]:\n            print(\"No\")\n            sys.exit()\n        stack.pop()\n\nprint(\"Yes\" if not stack else \"No\")", "cost_usd": 0.00023499999999999997, "tokens_in": 580, "tokens_out": 295, "latency_s": 4.08}, {"task_id": "lcb-abc394_d", "model": "google/gemini-3.6-flash", "prompt": "You are given a string S consisting of six types of characters: (, ), [, ], <, >.\nA string T is called a colorful bracket sequence if it satisfies the following condition:\n\nIt is possible to turn T into an empty string by repeating the following operation any number of times (possibly zero):\n\n- If there exists a contiguous substring of T that is one of (), [], or <>, choose one such substring and delete it.\n- If the deleted substring was at the beginning or end of T, the remainder becomes the new T.\n- Otherwise, concatenate the part before the deleted substring and the part after the deleted substring, and that becomes the new T.\n\n\nDetermine whether S is a colorful bracket sequence.\n\nInput\n\nThe input is given from Standard Input in the following format:\nS\n\nOutput\n\nIf S is a colorful bracket sequence, print Yes; otherwise, print No.\n\nConstraints\n\n\n- S is a string of length between 1 and 2\\times 10^5, inclusive.\n- S consists of (, ), [, ], <, >.\n\nSample Input 1\n\n([])<>()\n\nSample Output 1\n\nYes\n\nFor S=([])<>(), it is possible to turn it into an empty string by repeating the operation as follows:\n\n- Delete the substring [] from the 2nd to the 3rd character in ([])<>(), then concatenate the parts before and after it. The string becomes ()<>().\n- Delete the substring () from the 1st to the 2nd character in ()<>(). The string becomes <>().\n- Delete the substring <> from the 1st to the 2nd character in <>(). The string becomes ().\n- Delete the substring () from the 1st to the 2nd character in (). The string becomes empty.\n\nThus, S=([])<>() is a colorful bracket sequence, so print Yes.\n\nSample Input 2\n\n([<)]>\n\nSample Output 2\n\nNo\n\nSince S=([<)]> does not contain (), [], or <> as a contiguous substring, we cannot perform the 1st operation, and in particular S is not a colorful bracket sequence. Therefore, print No.\n\nSample Input 3\n\n())\n\nSample Output 3\n\nNo\n\nIt is impossible to turn S into an empty string by repeating the operations.\nTherefore, S is not a colorful bracket sequence, so print No.\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\nWork independently without seeing another solution. Return one raw executable Python program derived by a structurally different route. Oracle must be a simple correctness-first program for small legal inputs and must not reuse the candidate algorithm. Generator must accept seed and size arguments, seed Python random, and print one varied legal input. Append oracle lines between comments `# ORACLE-BEGIN` and `# ORACLE-END`, prefixing every line with `#|`. Append generator lines the same way between `# GENERATOR-BEGIN` and `# GENERATOR-END`. Those comment sections must be inert when the complete response is executed as the candidate.", "response": "import sys\n\n\ndef solve():\n    S = sys.stdin.read().split()\n    if not S:\n        return\n    s = S[0]\n    stack = []\n    pairs = {\")\": \"(\", \"]\": \"[\", \">\": \"<\"}\n\n    for char in s:\n        if char in pairs:\n            if stack and stack[-1] == pairs[char]:\n                stack.pop()\n            else:\n                print(\"No\")\n                return\n        else:\n            stack.append(char)\n\n    if not stack:\n        print(\"Yes\")\n    else:\n        print(\"No\")\n\n\nif __name__ == \"__main__\":\n    solve()\n\n\n# ORACLE-BEGIN\n#|import sys\n#|\n#|def oracle():\n#|    S = sys.stdin.read().strip()\n#|    if not S:\n#|        return\n#|    while \"()\" in S or \"[]\" in S or \"<>\" in S:\n#|        S = S.replace(\"()\", \"\").replace(\"[]\", \"\").replace(\"<>\", \"\")\n#|    if not S:\n#|        print(\"Yes\")\n#|    else:\n#|        print(\"No\")\n#|\n#|if __name__ == '__main__':\n#|    oracle()\n# ORACLE-END\n\n# GENERATOR-BEGIN\n#|import sys\n#|import random\n#|\n#|def main():\n#|    seed = int(sys.argv[1]) if len(sys.argv) > 1 else 0\n#|    size = int(sys.argv[2]) if len(sys.argv) > 2 else 10\n#|    random.seed(seed)\n#|    chars = \"()[]<>\"\n#|    if random.random() < 0.5:\n#|        pairs = [(\"(\", \")\"), (\"[\", \"]\"), (\"<\", \">\")]\n#|        def make_valid(n):\n#|            if n <= 0: return \"\"\n#|            l, r = random.choice(pairs)\n#|            inner_len = random.randrange(0, n, 2) if n > 1 else 0\n#|            outer_len = n - 2 - inner_len\n#|            return l + make_valid(inner_len) + r + make_valid(outer_len)\n#|        target_len = max(2, (size // 2) * 2)\n#|        S = make_valid(target_len)\n#|    else:\n#|        length = max(1, size)\n#|        S = \"\".join(random.choice(chars) for _ in range(length))\n#|    print(S)\n#|\n#|if __name__ == '__main__':\n#|    main()\n# GENERATOR-END", "cost_usd": 0.012105, "tokens_in": 655, "tokens_out": 3097, "latency_s": 14.804}]