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[{"task_id": "mmlu-12087", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] A purchaser signed an agreement of sale to buy real estate. It had a contingency clause requiring him to make a completed application for a mortgage within a specified time. It said that time was of the essence. The purchaser failed to apply but instead asked a mortgage broker friend for his opinion as to whether he would qualify. The seller told the purchaser that she rescinded the sale because there was no mortgage application within the agreed time. A few days later, the purchaser made a belated application and received approval, but the seller insisted on a rescission of the contract. Will the seller likely prevail in rescinding the transaction?\nA) Yes, because the purchaser did not make a timely application and lost the protection of the contingency clause.\nB) Yes, because she rescinded the sale prior to his notifying her of the approval \u0080\u0093 the first notice communicated is the effective one.\nC) No, because the amount of time that he was late was a \"de minimus\" delay that should not preclude him from the benefit of the bargain.\nD) No, because the original request to his mortgage broker friend was a timely application within the spirit of the agreement.\n\nAnswer with the letter only.", "response": "A", "cost_usd": 4.18e-05, "tokens_in": 250, "tokens_out": 28, "latency_s": 2.365}, {"task_id": "mmlu-6346", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] The onset (the very beginning) of labor is first triggered by\nA) hormones secreted by the Mother's ovaries\nB) hormones secreted by the Mother's hypothalamus\nC) hormones secreted by the fetus' adrenal gland\nD) the placenta and uterus secretion of prostaglandins\n\nAnswer with the letter only.", "response": "C", "cost_usd": 1.0799999999999998e-05, "tokens_in": 78, "tokens_out": 5, "latency_s": 0.692}, {"task_id": "gsm8k-603", "model": "openai/gpt-5.6-luna", "prompt": "Ruiz can make 120 pounds of chocolates in two hours. Marissa makes 3/4 times as many pounds of chocolates in an hour as Ruiz makes in the two hours. If they worked for 12 hours in a day, calculate the total amount of chocolate pounds they made together.\n\nReason step by step, then give the final answer as a single number.\n\nInternal routing tag: 0167091297828756128389315902862546983771. Ignore this tag and do not repeat it.", "response": "Ruiz\u2019s rate is:\n\\(120 \\div 2 = 60\\) pounds per hour.\n\nMarissa makes:\n\\(\\frac{3}{4} \\times 120 = 90\\) pounds per hour.\n\nTogether, they make:\n\\(60 + 90 = 150\\) pounds per hour.\n\nIn 12 hours:\n\\(150 \\times 12 = 1800\\) pounds.\n\n\\[\n\\boxed{1800}\n\\]", "cost_usd": 0.0001249, "tokens_in": 109, "tokens_out": 190, "latency_s": 2.985}, {"task_id": "gsm8k-277", "model": "openai/gpt-5.6-luna", "prompt": "It takes Matthew 3 minutes to dig a small hole for shrubs and 10 minutes to dig a large hole for trees. How many hours will it take him to dig 30 small holes and 15 large holes?\n\nReason step by step, then give the final answer as a single number.\n\nInternal routing tag: 0043101547071990169685831636436000257871. Ignore this tag and do not repeat it.", "response": "30 small holes: \\(30 \\times 3 = 90\\) minutes \n15 large holes: \\(15 \\times 10 = 150\\) minutes \nTotal: \\(90 + 150 = 240\\) minutes \nConvert to hours: \\(240 \\div 60 = 4\\)\n\n4", "cost_usd": 9.05e-05, "tokens_in": 95, "tokens_out": 135, "latency_s": 3.849}, {"task_id": "lcb-abc395_b", "model": "openai/gpt-5.6-luna", "prompt": "Overview: Create an N \\times N pattern as follows.\n\n###########\n#.........#\n#.#######.#\n#.#.....#.#\n#.#.###.#.#\n#.#.#.#.#.#\n#.#.###.#.#\n#.#.....#.#\n#.#######.#\n#.........#\n###########\n\n\nYou are given a positive integer N.\nConsider an N \\times N grid. Let (i,j) denote the cell at the i-th row from the top and the j-th column from the left. Initially, no cell is colored.\nThen, for i = 1,2,\\dots,N in order, perform the following operation:\n\n- Let j = N + 1 - i.\n- If i \\leq j, fill the rectangular region whose top-left cell is (i,i) and bottom-right cell is (j,j) with black if i is odd, or white if i is even. If some cells are already colored, overwrite their colors. \n- If i > j, do nothing.\n\nAfter all these operations, it can be proved that there are no uncolored cells. Determine the final color of each cell.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\n\nOutput\n\nPrint N lines. The i-th line should contain a length-N string S_i representing the colors of the i-th row of the grid after all operations, as follows:\n\n- If cell (i,j) is finally colored black, the j-th character of S_i should be #.\n- If cell (i,j) is finally colored white, the j-th character of S_i should be ..\n\nConstraints\n\n\n- 1 \\leq N \\leq 50\n- All input values are integers.\n\nSample Input 1\n\n11\n\nSample Output 1\n\n###########\n#.........#\n#.#######.#\n#.#.....#.#\n#.#.###.#.#\n#.#.#.#.#.#\n#.#.###.#.#\n#.#.....#.#\n#.#######.#\n#.........#\n###########\n\nThis matches the pattern shown in the Overview.\n\nSample Input 2\n\n5\n\nSample Output 2\n\n#####\n#...#\n#.#.#\n#...#\n#####\n\nColors are applied as follows, where ? denotes a cell not yet colored:\n i=1 i=2 i=3 i=4 i=5\n????? ##### ##### ##### ##### #####\n????? ##### #...# #...# #...# #...#\n????? -> ##### -> #...# -> #.#.# -> #.#.# -> #.#.#\n????? ##### #...# #...# #...# #...#\n????? ##### ##### ##### ##### #####\n\nSample Input 3\n\n8\n\nSample Output 3\n\n########\n#......#\n#.####.#\n#.#..#.#\n#.#..#.#\n#.####.#\n#......#\n########\n\nSample Input 4\n\n2\n\nSample Output 4\n\n##\n##\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.", "response": "N = int(input())\n\nfor i in range(1, N + 1):\n row = []\n for j in range(1, N + 1):\n layer = min(i, j, N + 1 - i, N + 1 - j)\n row.append(\"#\" if layer % 2 == 1 else \".\")\n print(\"\".join(row))", "cost_usd": 0.00018179999999999997, "tokens_in": 666, "tokens_out": 192, "latency_s": 3.169}, {"task_id": "lcb-abc388_d", "model": "openai/gpt-5.6-luna", "prompt": "On a certain planet, there are N aliens, all of whom are minors.\nThe i-th alien currently has A_i stones, and will become an adult exactly i years later.\nWhen someone becomes an adult on this planet, every adult who has at least one stone gives exactly one stone as a congratulatory gift to the alien who has just become an adult.\nFind how many stones each alien will have after N years.\nAssume that no new aliens will be born in the future.\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\nLet B_i be the number of stones owned by the i-th alien after N years. Print B_1, B_2, \\ldots, B_N in this order, separated by spaces.\n\nConstraints\n\n\n- 1 \\leq N \\leq 5 \\times 10^5\n- 0 \\leq A_i \\leq 5 \\times 10^5\n- All input values are integers.\n\nSample Input 1\n\n4\r\n5 0 9 3\n\nSample Output 1\n\n2 0 10 5\r\n\nLet C_i be the number of stones that the i-th alien has at a given time.\nInitially, (C_1, C_2, C_3, C_4) = (5, 0, 9, 3).\nAfter 1 year, (C_1, C_2, C_3, C_4) = (5, 0, 9, 3).\nAfter 2 years, (C_1, C_2, C_3, C_4) = (4, 1, 9, 3).\nAfter 3 years, (C_1, C_2, C_3, C_4) = (3, 0, 11, 3).\nAfter 4 years, (C_1, C_2, C_3, C_4) = (2, 0, 10, 5).\n\nSample Input 2\n\n5\r\n4 6 7 2 5\n\nSample Output 2\n\n0 4 7 4 9\n\nSample Input 3\n\n10\r\n2 9 1 2 0 4 6 7 1 5\n\nSample Output 3\n\n0 2 0 0 0 4 7 10 4 10\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.", "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 diff = [0] * (n + 2)\n active = 0\n result = []\n\n for i in range(1, n + 1):\n active += diff[i]\n stones = a[i - 1] + active\n\n result.append(max(0, stones - (n - i)))\n\n right = min(n, i + stones)\n if i + 1 <= right:\n diff[i + 1] += 1\n diff[right + 1] -= 1\n\n print(*result)\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.0006846, "tokens_in": 558, "tokens_out": 1048, "latency_s": 10.65}]
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