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+[{"task_id": "mmlu-5060", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Coach Perry is training Lana to be the kindergarten soccer team's goalie. Coach Perry starts by rolling the ball to Lana slowly so she can stop it; he gradually begins to roll the ball faster and to different parts of the goal, all the while praising her successful attempts. The technique Coach Perry is using is called\nA) the law of effect.\nB) the partial reinforcement effect.\nC) shaping.\nD) second-order conditioning.\n\nAnswer with the letter only.", "response": "C", "cost_usd": 1.32e-05, "tokens_in": 102, "tokens_out": 5, "latency_s": 4.007}, {"task_id": "mmlu-11499", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] The President appointed a delegation to enter into negotiations with representatives of a foreign government to study the problem of preventing the extinction of certain species of seals. The delegation's goal was twofold: to study the problem and to formulate regulations in a bilateral agreement that would protect the endangered species and provide for a permanent commission that would continually monitor enforcement of the proposed regulations. After compiling their findings and drafting the necessary regulations, the President and the leader of the foreign government entered into a treaty to form a permanent commission to oversee the problem and to grant it the necessary enforcement powers. The validity of this treaty would most likely be upheld under which of the following principles?\nA) The presidential power to conduct foreign affairs.\nB) An ancillary power of the President under his treaty-making power.\nC) The treaty-making power, but only if the treaty is ratified by two-thirds of the Senate.\nD) The treaty-making power, but only if the treaty is ratified by a majority in Congress.\n\nAnswer with the letter only.", "response": "C", "cost_usd": 6.56e-05, "tokens_in": 212, "tokens_out": 74, "latency_s": 4.579}, {"task_id": "gsm8k-858", "model": "openai/gpt-5.6-luna", "prompt": "A plague infects ten people. Every day, each infected person infects six others. How many people are infected after three days?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and put the final numeric answer alone on the last line. Ignore audit marker 15138252045727102220; it is answer-independent metadata and must not appear in the answer.", "response": "Initially, 10 people are infected.\n\n- After day 1: \\(10 + 10 \\times 6 = 70\\)\n- After day 2: \\(70 + 70 \\times 6 = 490\\)\n- After day 3: \\(490 + 490 \\times 6 = 3430\\)\n\n3430", "cost_usd": 0.0003648, "tokens_in": 90, "tokens_out": 593, "latency_s": 10.678}, {"task_id": "gsm8k-22", "model": "openai/gpt-5.6-luna", "prompt": "Billy sells DVDs. He has 8 customers on Tuesday. His first 3 customers buy one DVD each.  His next 2 customers buy 2 DVDs each.  His last 3 customers don't buy any DVDs. How many DVDs did Billy sell on Tuesday?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and put the final numeric answer alone on the last line. Ignore audit marker 17047475625084526083; it is answer-independent metadata and must not appear in the answer.", "response": "First 3 customers: \\(3 \\times 1 = 3\\) DVDs.  \nNext 2 customers: \\(2 \\times 2 = 4\\) DVDs.  \nLast 3 customers: \\(3 \\times 0 = 0\\) DVDs.  \n\nTotal: \\(3 + 4 + 0 = 7\\).\n\n7", "cost_usd": 8.189999999999998e-05, "tokens_in": 117, "tokens_out": 117, "latency_s": 2.641}, {"task_id": "lcb-abc391_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given a string D representing one of the eight directions (north, east, west, south, northeast, northwest, southeast, southwest). The correspondence between the directions and their representing strings is as follows.\n\n- North: N\n- East: E\n- West: W\n- South: S\n- Northeast: NE\n- Northwest: NW\n- Southeast: SE\n- Southwest: SW\n\nPrint the string representing the direction opposite to the direction denoted by D.\n\nInput\n\nThe input is given from Standard Input in the following format:\nD\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- D is one of N, E, W, S, NE, NW, SE, SW.\n\nSample Input 1\n\nN\n\nSample Output 1\n\nS\r\n\nPrint S, which represents south, the direction opposite to north.\n\nSample Input 2\n\nSE\n\nSample Output 2\n\nNW\r\n\nPrint NW, which represents northwest, the direction opposite to southeast.\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\nUse the full constraints to choose a provably correct algorithm and suitable buffered I/O. Check every explicit condition and published example. Return only complete raw Python 3 source, without Markdown fences or prose.", "response": "import sys\n\nopposite = {\n    \"N\": \"S\",\n    \"S\": \"N\",\n    \"E\": \"W\",\n    \"W\": \"E\",\n    \"NE\": \"SW\",\n    \"SW\": \"NE\",\n    \"NW\": \"SE\",\n    \"SE\": \"NW\",\n}\n\nd = sys.stdin.buffer.readline().decode().strip()\nsys.stdout.write(opposite[d] + \"\\n\")\n", "cost_usd": 8.149999999999998e-05, "tokens_in": 275, "tokens_out": 90, "latency_s": 0.974}, {"task_id": "lcb-abc390_d", "model": "openai/gpt-5.6-luna", "prompt": "There are N bags, labeled bag 1, bag 2, \\ldots, bag N.\r\nBag i (1 \\leq i \\leq N) contains A_i stones.\nTakahashi can perform the following operation any number of times, possibly zero:\n\nChoose two bags A and B, and move all stones from bag A into bag B.\n\nFind the number of different possible values for the following after repeating the operation.\n\n- B_1 \\oplus B_2 \\oplus \\cdots \\oplus B_N, where B_i is the final number of stones in bag i.\r\nHere, \\oplus denotes bitwise XOR.\n\n\nAbout bitwise XOR\r\nFor non-negative integers a and b, the bitwise XOR a \\oplus b is defined as follows:\r\n\r\n\r\nIn the binary representation of a \\oplus b, the digit in the 2^k place (k \\ge 0) is 1 if and only if exactly one of the digits in the 2^k place of a and b is 1; otherwise, it is 0.\r\n\r\n\r\nFor example, 3 \\oplus 5 = 6 (in binary, 011 \\oplus 101 = 110).\r\nIn general, for k non-negative integers x_1, x_2, \\ldots, x_k, their bitwise XOR x_1 \\oplus x_2 \\oplus \\cdots \\oplus x_k is defined as (\\cdots((x_1 \\oplus x_2) \\oplus x_3) \\oplus \\cdots) \\oplus x_k, which does not depend on the order of x_1, x_2, \\ldots, x_k.\r\n\nIt can be proved that under the constraints of this problem, the number of possible values is finite.\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\nPrint the number of different possible values for B_1 \\oplus B_2 \\oplus \\cdots \\oplus B_N after repeating the operation.\n\nConstraints\n\n\n- 2 \\leq N \\leq 12\n- 1 \\leq A_i \\leq 10^{17}\n- All input values are integers.\n\nSample Input 1\n\n3\r\n2 5 7\n\nSample Output 1\n\n3\r\n\nFor example, if Takahashi chooses bags 1 and 3 for the operation, then the numbers of stones in bags 1, 2, 3 become 0, 5, 9.\r\nIf he stops at this point, the XOR is 0 \\oplus 5 \\oplus 9 = 12.\nThe other possible XOR values after repeating the operation are 0 and 14.\r\nTherefore, the possible values are 0, 12, 14; there are three values, so the output is 3.\n\nSample Input 2\n\n2\r\n100000000000000000 100000000000000000\n\nSample Output 2\n\n2\n\nSample Input 3\n\n6\r\n71 74 45 34 31 60\n\nSample Output 3\n\n84\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\nUse the full constraints to choose a provably correct algorithm and suitable buffered I/O. Check every explicit condition and published example. Return only complete raw Python 3 source, without Markdown fences or prose.", "response": "import sys\n\ndef main():\n    data = list(map(int, sys.stdin.buffer.read().split()))\n    n = data[0]\n    a = data[1:]\n\n    blocks = [0] * n\n    values = set()\n\n    def dfs(i, block_count, current_xor):\n        if i == n:\n            values.add(current_xor)\n            return\n\n        v = a[i]\n\n        for j in range(block_count):\n            old = blocks[j]\n            new = old + v\n            blocks[j] = new\n            dfs(i + 1, block_count, current_xor ^ old ^ new)\n            blocks[j] = old\n\n        blocks[block_count] = v\n        dfs(i + 1, block_count + 1, current_xor ^ v)\n        blocks[block_count] = 0\n\n    dfs(0, 0, 0)\n    print(len(values))\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.0008183999999999999, "tokens_in": 744, "tokens_out": 1240, "latency_s": 13.425}]