| [{"task_id": "mmlu-7313", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] If both parents are affected with the same autosomal recessive disorder then the probability that each of their children will be affected equals ___.\nA) 1 in 4\nB) 1 in 2\nC) 2 in 3\nD) 1\n\nAnswer with the letter only.", "response": "D", "cost_usd": 1.02e-05, "tokens_in": 72, "tokens_out": 5, "latency_s": 4.223}, {"task_id": "mmlu-5257", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following psychologists would most likely agree with the following statement: Behavior is a result of the combination of reinforcers and punishers?\nA) William James\nB) Wilhelm Wundt\nC) B. F. Skinner\nD) Carl Rogers\n\nAnswer with the letter only.", "response": "C", "cost_usd": 1.0099999999999998e-05, "tokens_in": 71, "tokens_out": 5, "latency_s": 0.648}, {"task_id": "gsm8k-668", "model": "qwen/qwen3.7-flash", "prompt": "In a company of 50 employees, 20% of the employees are management. Out of this 20%, only 30% oversee the entire company. How many employees oversee the company?\n\nReason step by step, then give the final answer as a single number.", "response": "Step 1: Calculate the number of management employees. \n20% of 50 employees = 0.20 \u00d7 50 = 10 management employees.\n\nStep 2: Calculate how many of those management employees oversee the entire company. \n30% of the 10 management employees = 0.30 \u00d7 10 = 3 employees.\n\nFinal Answer: 3", "cost_usd": 0.00010742999999999999, "tokens_in": 71, "tokens_out": 810, "latency_s": 4.958}, {"task_id": "gsm8k-991", "model": "openai/gpt-5.6-luna", "prompt": "Comet Halley orbits the sun every 75 years. Bill's dad saw the Comet when he was 30 years old. Bill saw the comet a second time when he was three times the age his father was when he saw the Comet. How old was Bill when he saw the Comet for the first time?\n\nReason step by step, then give the final answer as a single number.", "response": "1. Bill\u2019s father was 30 when he saw the comet.\n2. Bill saw it a second time at three times that age: \\(3 \\times 30 = 90\\).\n3. The comet returns every 75 years, so Bill\u2019s first sighting was \\(75\\) years earlier.\n4. Bill\u2019s age then was \\(90 - 75 = 15\\).\n\n15", "cost_usd": 0.0001138, "tokens_in": 88, "tokens_out": 175, "latency_s": 2.819}, {"task_id": "lcb-abc389_b", "model": "openai/gpt-5.6-luna", "prompt": "You are given an integer X not less than 2.\nFind the positive integer N such that N! = X.\nHere, N! denotes the factorial of N, and it is guaranteed that there is exactly one such N.\n\nInput\n\nThe input is given from Standard Input in the following format:\nX\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 2 \\leq X \\leq 3 \\times 10^{18}\n- There is exactly one positive integer N such that N!=X.\n- All input values are integers.\n\nSample Input 1\n\n6\n\nSample Output 1\n\n3\r\n\nFrom 3!=3\\times2\\times1=6, print 3.\n\nSample Input 2\n\n2432902008176640000\n\nSample Output 2\n\n20\r\n\nFrom 20!=2432902008176640000, print 20.\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\nx = int(sys.stdin.readline())\nn = 1\nfactorial = 1\n\nwhile factorial < x:\n n += 1\n factorial *= n\n\nprint(n)", "cost_usd": 4.8099999999999977e-05, "tokens_in": 217, "tokens_out": 44, "latency_s": 1.4}, {"task_id": "lcb-arc194_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given an integer sequence of length N: (A_1, A_2, \\ldots, A_N). There is also a sequence S, which is initially empty.\nFor each i = 1, 2, \\ldots, N in this order, you perform exactly one of the following two operations:\n\n- Append A_i as an element to the end of S.\n- Delete the last element of S. You cannot choose this operation if S is empty.\n\nPrint the maximum possible value of the sum of the elements of S after all operations.\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 answer.\n\nConstraints\n\n\n- 1 \\leq N \\leq 2 \\times 10^5\n- -10^9 \\leq A_i \\leq 10^9\n- All input values are integers.\n\nSample Input 1\n\n6\r\n3 -1 -4 5 -9 2\n\nSample Output 1\n\n8\r\n\nStarting from the initial state where S is an empty sequence, consider the following operations:\n\n- For i = 1, append A_1 = 3 to the end of S. Now, S = (3).\n- For i = 2, append A_2 = -1 to the end of S. Now, S = (3, -1).\n- For i = 3, delete the last element of S. Now, S = (3).\n- For i = 4, append A_4 = 5 to the end of S. Now, S = (3, 5).\n- For i = 5, append A_5 = -9 to the end of S. Now, S = (3, 5, -9).\n- For i = 6, delete the last element of S. Now, S = (3, 5).\n\nHere, the sum of the elements of S after all operations is 3 + 5 = 8, which is the maximum possible value.\n\nSample Input 2\n\n1\r\n-1\n\nSample Output 2\n\n-1\r\n\nNote that if S is empty, you must choose to append an element.\n\nSample Input 3\n\n20\r\n-14 74 -48 38 -51 43 5 37 -39 -29 80 -44 -55 59 17 89 -37 -68 38 -16\n\nSample Output 3\n\n369\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 neg_inf = -10**30\n dp = [neg_inf, neg_inf] # best sum ending with an index of each parity\n\n for i, x in enumerate(a, 1):\n p = i & 1\n best = dp[p ^ 1]\n if p == 1:\n best = max(best, 0)\n dp[p] = max(dp[p], best + x)\n\n ans = dp[n & 1]\n if n % 2 == 0:\n ans = max(ans, 0)\n\n print(ans)\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.0020227, "tokens_in": 559, "tokens_out": 3278, "latency_s": 39.071}] |