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+ [{"task_id": "mmlu-3848", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] If a country has a negative value on its current account then it must\nA) pay that amount to its trading partners.\nB) have a positive value of equal magnitude on its capital account.\nC) depreciate its currency.\nD) appreciate its currency.\n\nAnswer with the letter only.\n\nThink step by step about each option, then end with exactly: ANSWER: <letter>", "response": "ANSWER: B", "cost_usd": 6.57e-05, "tokens_in": 87, "tokens_out": 95, "latency_s": 3.458}, {"task_id": "mmlu-12598", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Students in an introductory psychology class are required to participate in one of the university's ongoing research projects. This practice is:\nA) ethical as long as students can choose to participate in an alternative activity instead.\nB) ethical as long as students are free to choose the research project they participate in.\nC) ethical as long as informed consents are obtained from students before they participate.\nD) clearly unethical.\n\nAnswer with the letter only.\n\nThink step by step about each option, then end with exactly: ANSWER: <letter>", "response": "ANSWER: A", "cost_usd": 6.499999999999998e-05, "tokens_in": 116, "tokens_out": 89, "latency_s": 2.8}, {"task_id": "gsm8k-1121", "model": "openai/gpt-5.6-luna", "prompt": "In 7 days, Sofie will walk twice as far as Brian. If Sofie plans to walk 10 miles every day, how many miles will Brian walk in seven days?\n\nReason step by step, then give the final answer as a single number.\n\nReason step by step, then end with the final answer as a single number.\n\n(ref 628224)", "response": "Sofie will walk \\(10 \\times 7 = 70\\) miles in seven days. \nBrian will walk half as far: \\(70 \\div 2 = 35\\) miles.\n\n35", "cost_usd": 6.070000000000001e-05, "tokens_in": 79, "tokens_out": 88, "latency_s": 1.486}, {"task_id": "gsm8k-402", "model": "openai/gpt-5.6-luna", "prompt": "Mark is making a quadruple batch of brownies. The normal recipe calls for 3 cups of flour and 1 cup milk. If flour is sold in 2-cup bags and milk is sold in 2-cup bottles, how many more bags of flour than bottles of milk does Mark have to buy?\n\nReason step by step, then give the final answer as a single number.\n\nReason step by step, then end with the final answer as a single number.\n\n(ref 473131)", "response": "A quadruple batch needs:\n\n- Flour: \\(3 \\times 4 = 12\\) cups, so \\(12 \\div 2 = 6\\) bags.\n- Milk: \\(1 \\times 4 = 4\\) cups, so \\(4 \\div 2 = 2\\) bottles.\n- Difference: \\(6 - 2 = 4\\).\n\n4", "cost_usd": 9.630000000000001e-05, "tokens_in": 105, "tokens_out": 143, "latency_s": 4.244}, {"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\nSolve this competitive-programming problem in Python 3. Read all of stdin at once with sys.stdin.buffer.read().split() and index across tokens; build output in a list and emit it with one write at the end. Check the constraint block and pick an algorithm whose running time stays under ~1e8 steps at the largest allowed input. Return ONLY raw complete Python 3 source \u2014 no Markdown fences, no prose, no comments.\n\nOUTPUT FORMAT: this judge compares printed output EXACTLY, token for token, even when the statement promises a numeric tolerance, and the hidden tests may not use the same precision as the statement's worked examples. Apply BOTH: (1) if an input exactly matches one of the statement's worked examples, print that example's expected output byte-for-byte exactly as the statement shows it; (2) for every other input print floats at a fixed width with format(x, '.12f'). Never pin an input that is not a worked example; compute those normally.", "response": "import sys\n\ndata = sys.stdin.buffer.read().split()\nn = int(data[0])\na = list(map(int, data[1:1 + n]))\n\nanswer = \"No\"\nfor i in range(n - 2):\n if a[i] == a[i + 1] == a[i + 2]:\n answer = \"Yes\"\n break\n\nout = [answer]\nsys.stdout.write(\"\\n\".join(out))", "cost_usd": 0.00015260000000000002, "tokens_in": 638, "tokens_out": 148, "latency_s": 2.752}, {"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\nNow write TWO programs and nothing else. FIRST a REFERENCE solution that is correct by construction and may be arbitrarily slow (brute force / full simulation); do NOT reuse the idea from the fast solution \u2014 it must be able to disagree. SECOND a GENERATOR taking two argv ints (seed, size): call random.seed(seed) and print ONE valid random input in the exact stdin format, obeying every constraint; at size 2 emit the smallest legal input, larger sizes proportionally bigger, with repeats and extreme values. Output exactly two fenced blocks:\n```reference\n<prog>\n```\n```generator\n<prog>\n```", "response": "```reference\nimport sys\n\ndata = list(map(int, sys.stdin.read().split()))\nn = data[0]\na = data[1:]\n\nanswer = False\nfor left in range(n):\n for right in range(left + 2, n):\n same = True\n for k in range(left + 1, right + 1):\n if a[k] != a[left]:\n same = False\n break\n if same:\n answer = True\n break\n if answer:\n break\n\nprint(\"Yes\" if answer else \"No\")\n```\n```generator\nimport sys\nimport random\n\nseed, size = map(int, sys.argv[1:3])\nrandom.seed(seed)\n\nif size == 2:\n n = 3\n a = [1, 1, 1]\nelse:\n n = max(3, size)\n a = []\n while len(a) < n:\n if random.random() < 0.35:\n value = random.choice([1, 2, 3, 50, 99, 100])\n run_length = random.randint(1, min(6, n - len(a)))\n a.extend([value] * run_length)\n else:\n a.append(random.choice([1, 2, 3, 4, 5, 50, 99, 100]))\n\nprint(n)\nprint(*a)\n```", "cost_usd": 0.0004075, "tokens_in": 565, "tokens_out": 585, "latency_s": 4.992}, {"task_id": "lcb-abc395_c", "model": "openai/gpt-5.6-luna", "prompt": "You are given a positive integer N and an integer sequence A = (A_1,A_2,\\dots,A_N) of length N.\nDetermine whether there exists a non-empty (contiguous) subarray of A that has a repeated value, occurring multiple times in A. If such a subarray exists, find the length of the shortest such subarray.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nA_1 A_2 \\dots A_N\n\nOutput\n\nIf there is no (contiguous) subarray satisfying the condition in the problem statement, print -1. Otherwise, print the length of the shortest such subarray.\n\nConstraints\n\n\n- 1 \\leq N \\leq 2 \\times 10^5\n- 1 \\leq A_i \\leq 10^6 \\ (1 \\leq i \\leq N)\n- All input values are integers.\n\nSample Input 1\n\n5\r\n3 9 5 3 1\n\nSample Output 1\n\n4\r\n\n(3,9,5,3) and (3,9,5,3,1) satisfy the condition. The shorter one is (3,9,5,3), which has length 4.\n\nSample Input 2\n\n4\r\n2 5 3 1\n\nSample Output 2\n\n-1\r\n\nThere is no subarray that satisfies the condition.\n\nSample Input 3\n\n10\r\n1 1 2 3 5 8 13 21 34 55\n\nSample Output 3\n\n2\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\nSolve this competitive-programming problem in Python 3. Read all of stdin at once with sys.stdin.buffer.read().split() and index across tokens; build output in a list and emit it with one write at the end. Check the constraint block and pick an algorithm whose running time stays under ~1e8 steps at the largest allowed input. Return ONLY raw complete Python 3 source \u2014 no Markdown fences, no prose, no comments.\n\nOUTPUT FORMAT: this judge compares printed output EXACTLY, token for token, even when the statement promises a numeric tolerance, and the hidden tests may not use the same precision as the statement's worked examples. Apply BOTH: (1) if an input exactly matches one of the statement's worked examples, print that example's expected output byte-for-byte exactly as the statement shows it; (2) for every other input print floats at a fixed width with format(x, '.12f'). Never pin an input that is not a worked example; compute those normally.", "response": "import sys\n\ndata = sys.stdin.buffer.read().split()\nn = int(data[0])\nlast = {}\nans = n + 1\n\nfor i in range(n):\n x = int(data[i + 1])\n if x in last:\n d = i - last[x] + 1\n if d < ans:\n ans = d\n last[x] = i\n\nout = [\"-1\" if ans == n + 1 else str(ans)]\nsys.stdout.write(\"\".join(out))", "cost_usd": 0.00024129999999999996, "tokens_in": 565, "tokens_out": 308, "latency_s": 4.997}]