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+[{"task_id": "mmlu-3289", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] This question refers to the following information.\nThe pair of excerpts below is written by explorer Christopher Columbus and the Dominican Bishop of Chiapas, Mexico, Bartholomew de las Casas.\nSource 1\nIndians would give whatever the seller required. . . . Thus they bartered, like idiots, cotton and gold for fragments of bows, glasses, bottles, and jars; which I forbad as being unjust, and myself gave them many beautiful and acceptable articles which I had brought with me, taking nothing from them in return; I did this in order that I might the more easily conciliate them, that they might be led to become Christians, and be inclined to entertain a regard for the King and Queen, our Princes and all Spaniards, and that I might induce them to take an interest in seeking out, and collecting and delivering to us such things as they possessed in abundance, but which we greatly needed.\n\u2014Christopher Columbus: letter to Raphael Sanchez, 1493\nSource 2\nIt was upon these gentle lambs . . . that from the very first day they clapped eyes on them the Spanish fell like ravening wolves upon the fold, or like tigers and savage lions who have not eaten meat for days. The pattern established at the outset has remained unchanged to this day, and the Spaniards still do nothing save tear the natives to shreds, murder them and inflict upon them untold misery, suffering and distress, tormenting, harrying and persecuting them mercilessly. We shall in due course describe some of the many ingenious methods of torture they have invented and refined for this purpose, but one can get some idea of the effectiveness of their methods from the figures alone. When the Spanish first journeyed there, the indigenous population of the island of Hispaniola stood at some three million; today only two hundred survive. Their reason for killing and destroying such an infinite number of souls is that the Christians have an ultimate aim, which is to acquire gold, and to swell themselves with riches in a very brief time and thus rise to a high estate disproportionate to their merits.\n\u2014Bartholomew de las Casas: A Short Account of the Destruction of the Indies, 1542\nWhich of the following would best account for the differences between the interactions of the Spaniards and the natives as described in the two accounts?\nA) De las Casas was exaggerating to support the start of African slavery.\nB) Columbus was biased in favor of himself in his writings.\nC) Columbus's men were nicer to the natives than were later expeditions.\nD) De las Casas wanted the Spanish to leave the Americas.\n\nAnswer with the letter only.", "response": "B", "cost_usd": 5.82e-05, "tokens_in": 552, "tokens_out": 5, "latency_s": 1.658}, {"task_id": "mmlu-1799", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] When we speak of time dilation, we mean that time\nA) compresses with speed.\nB) stretches with speed.\nC) is a constant at all speeds.\nD) is related to space.\n\nAnswer with the letter only.", "response": "B", "cost_usd": 8.700000000000001e-06, "tokens_in": 57, "tokens_out": 5, "latency_s": 1.076}, {"task_id": "gsm8k-523", "model": "openai/gpt-5.6-luna", "prompt": "The bakers at the Beverly Hills Bakery baked 200 loaves of bread on Monday morning. They sold 93 loaves in the morning and 39 loaves in the afternoon. A grocery store returned 6 unsold loaves. How many loaves of bread did they have left?\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 2738045958519195454 is answer-independent metadata; do not reproduce it.", "response": "They baked 200 loaves.\n\nThey sold \\(93 + 39 = 132\\) loaves.\n\nThat left \\(200 - 132 = 68\\) loaves.\n\nThe grocery store returned 6 loaves, so they had \\(68 + 6 = 74\\) loaves left.\n\n74", "cost_usd": 0.00011789999999999999, "tokens_in": 117, "tokens_out": 177, "latency_s": 3.544}, {"task_id": "gsm8k-947", "model": "openai/gpt-5.6-luna", "prompt": "Jasmine's teacher gives stickers for reward. She was given 15 stickers for participating in class, but she lost 7 stickers during playtime. However, her teacher gave her another 5 stickers for helping her classmates. How many stickers does she have at the end?\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 8509689000139738429 is answer-independent metadata; do not reproduce it.", "response": "Jasmine starts with 15 stickers.  \nAfter losing 7, she has 15 \u2212 7 = 8 stickers.  \nShe then receives 5 more, giving 8 + 5 = 13 stickers.\n\n13", "cost_usd": 6.589999999999998e-05, "tokens_in": 113, "tokens_out": 91, "latency_s": 2.375}, {"task_id": "lcb-abc388_b", "model": "openai/gpt-5.6-luna", "prompt": "There are N snakes.\nInitially, the thickness of the i-th snake is T_i, and its length is L_i.\nThe weight of a snake is defined as the product of its thickness and length.\nFor each integer k satisfying 1 \\leq k \\leq D, find the weight of the heaviest snake when every snake's length has increased by k.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN D\r\nT_1 L_1\r\nT_2 L_2\r\n\\vdots\r\nT_N L_N\n\nOutput\n\nPrint D lines. The k-th line should contain the weight of the heaviest snake when every snake's length has increased by k.\n\nConstraints\n\n\n- 1 \\leq N, D \\leq 100\n- 1 \\leq T_i, L_i \\leq 100\n- All input values are integers.\n\nSample Input 1\n\n4 3\r\n3 3\r\n5 1\r\n2 4\r\n1 10\n\nSample Output 1\n\n12\r\n15\r\n20\r\n\nWhen every snake\u2019s length has increased by 1, the snakes' weights become 12, 10, 10, 11, so print 12 on the first line.\nWhen every snake\u2019s length has increased by 2, the snakes' weights become 15, 15, 12, 12, so print 15 on the second line.\nWhen every snake\u2019s length has increased by 3, the snakes' weights become 18, 20, 14, 13, so print 20 on the third line.\n\nSample Input 2\n\n1 4\r\n100 100\n\nSample Output 2\n\n10100\r\n10200\r\n10300\r\n10400\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, d = data[0], data[1]\n    snakes = [(data[i], data[i + 1]) for i in range(2, 2 * n + 2, 2)]\n\n    answers = []\n    for k in range(1, d + 1):\n        answers.append(str(max(t * (l + k) for t, l in snakes)))\n\n    sys.stdout.write(\"\\n\".join(answers))\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.00016569999999999996, "tokens_in": 463, "tokens_out": 199, "latency_s": 2.017}, {"task_id": "lcb-abc400_c", "model": "openai/gpt-5.6-luna", "prompt": "A positive integer X is called a good integer if and only if it satisfies the following condition:\n\n- There exists a pair of positive integers (a,b) such that X = 2^a \\times b^2.\n\nFor example, 400 is a good integer because 400 = 2^2 \\times 10^2.\nGiven a positive integer N, find the number of good integers between 1 and N, inclusive.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\n\nOutput\n\nPrint the number of good integers between 1 and N, inclusive.\n\nConstraints\n\n\n- 1 \\leq N \\leq 10^{18}\n- N is an integer.\n\nSample Input 1\n\n20\n\nSample Output 1\n\n5\r\n\nThere are five good integers between 1 and 20: 2, 4, 8, 16, and 18.\r\nThus, print 5.\n\nSample Input 2\n\n400\n\nSample Output 2\n\n24\n\nSample Input 3\n\n1234567890\n\nSample Output 3\n\n42413\r\n\nNote that the input might not fit in a 32-bit integer type.\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\nfrom math import isqrt\n\nN = int(sys.stdin.readline())\n\nanswer = 0\npower = 2\n\nwhile power <= N:\n    limit = isqrt(N // power)\n    answer += (limit + 1) // 2\n    power *= 2\n\nprint(answer)\n", "cost_usd": 0.0005614000000000001, "tokens_in": 340, "tokens_out": 879, "latency_s": 8.738}]