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+ [{"task_id": "mmlu-2704", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] If, on average, 46% of the loci in a species' gene pool are heterozygous, then the average homozygosity of the species should be\nA) 23%\nB) 46%\nC) 54%\nD) 92%\n\nAnswer with the letter only.", "response": "C", "cost_usd": 1.02e-05, "tokens_in": 72, "tokens_out": 5, "latency_s": 1.687}, {"task_id": "mmlu-1254", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] In response to period of extreme psychological trauma, a patient begins experiencing a feeling of detachment. He says, \u201cI felt like it wasn\u2019t real while it was happening. I was just watching myself do it without any control. I mean, you know, I knew it was happening but I didn\u2019t feel like it was.\u201d The patient is describing:\nA) Dissociative identity disorder\nB) An anxiety disorder\nC) Depersonalization disorder\nD) A schizophrenic episode\n\nAnswer with the letter only.", "response": "C", "cost_usd": 1.4599999999999999e-05, "tokens_in": 116, "tokens_out": 5, "latency_s": 0.788}, {"task_id": "gsm8k-573", "model": "openai/gpt-5.6-luna", "prompt": "Katina has $3000 in her savings account. If she removes $100 from the account every month, how much money will be remaining within the account after 2 years?\n\nReason step by step, then give the final answer as a single number.\n\nInternal routing tag: 0051308141573920061077192838883882110845. Ignore this tag and do not repeat it.", "response": "2 years = 24 months. \nTotal removed: \$24 \\times \\$100 = \\$2400\$. \nRemaining: \$\\$3000 - \\$2400 = \\$600\$.\n\n600", "cost_usd": 6.56e-05, "tokens_in": 86, "tokens_out": 95, "latency_s": 2.266}, {"task_id": "gsm8k-892", "model": "openai/gpt-5.6-luna", "prompt": "Ellen is on a diet. She eats two carrots, a salad, and a yogurt every day. The salad costs her $6, while the yogurt is half the price. How much does Ellen pay for one carrot every day when in total she pays $11 for her goods?\n\nReason step by step, then give the final answer as a single number.\n\nInternal routing tag: 0186435030779452297890018310768773095016. Ignore this tag and do not repeat it.", "response": "Salad: $6 \nYogurt: $6 \u00f7 2 = $3 \nTwo carrots: $11 \u2212 $6 \u2212 $3 = $2 \nOne carrot: $2 \u00f7 2 = $1 \n\n1", "cost_usd": 7.67e-05, "tokens_in": 107, "tokens_out": 110, "latency_s": 2.346}, {"task_id": "lcb-abc398_a", "model": "openai/gpt-5.6-luna", "prompt": "Find a length-N string that satisfies all of the following conditions:\n\n- Each character is - or =.\n- It is a palindrome.\n- It contains exactly one or exactly two =s. If it contains two =s, they are adjacent.\n\nSuch a string is unique.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 1 \\leq N \\leq 100\n- N is an integer.\n\nSample Input 1\n\n4\n\nSample Output 1\n\n-==-\n\nSample Input 2\n\n7\n\nSample Output 2\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())\ns = ['-'] * n\n\nif n % 2:\n s[n // 2] = '='\nelse:\n s[n // 2 - 1] = '='\n s[n // 2] = '='\n\nprint(''.join(s))", "cost_usd": 0.00010550000000000002, "tokens_in": 167, "tokens_out": 148, "latency_s": 2.519}, {"task_id": "lcb-abc399_d", "model": "openai/gpt-5.6-luna", "prompt": "N couples are seated in a line.\nCount the number of pairs of couples such that neither couple was originally sitting next to each other, and both couples can end up sitting next to each other by swapping seats among those four people.\n\nThere is a sequence A = (A_1, A_2, \\dots, A_{2N}) of length 2N. Each of the integers 1, 2, \\dots, N appears exactly twice in A.\nFind the number of integer pairs (a, b) satisfying 1 \\leq a < b \\leq N and all of the following conditions:\n\n- The two occurrences of a in A are not adjacent.\n- The two occurrences of b in A are not adjacent.\n- By performing the following operation one or more times in any order, it is possible to reach a state where the two occurrences of a in A are adjacent and the two occurrences of b in A are also adjacent.\n- Choose an integer pair (i, j) (1 \\leq i \\leq 2N, 1 \\leq j \\leq 2N) such that A_i = a and A_j = b, and swap A_i with A_j.\n\n\n\nYou are given T test cases; solve each of them.\n\nInput\n\nThe input is given from Standard Input in the following format, where \\mathrm{case}_i denotes the i-th test case:\nT\n\\mathrm{case}_1\n\\mathrm{case}_2\n\\vdots\n\\mathrm{case}_T\n\nEach test case is given in the following format:\nN\nA_1 A_2 \\dots A_{2N}\n\nOutput\n\nPrint T lines. The i-th line should contain the answer for the i-th test case.\n\nConstraints\n\n\n- 1 \\leq T \\leq 2 \\times 10^5\n- 1 \\leq N \\leq 2 \\times 10^5\n- 1 \\leq A_i \\leq N\n- Each of 1, 2, \\dots, N appears exactly twice in A.\n- The sum of N over all test cases is at most 2 \\times 10^5.\n- All input values are integers.\n\nSample Input 1\n\n3\n3\n1 2 3 3 1 2\n4\n1 1 2 2 3 3 4 4\n5\n1 2 3 4 5 1 2 3 4 5\n\nSample Output 1\n\n1\n0\n4\n\nConsider the first test case.\n(a, b) = (1, 2) satisfies the conditions in the problem statement, for the following reasons:\n\n- The two occurrences of 1 in A are not adjacent.\n- The two occurrences of 2 in A are not adjacent.\n- By performing the operation where (i, j) = (1, 6) and swapping A_1 with A_6, you can reach a state where the two occurrences of 1 are adjacent and the two occurrences of 2 are also adjacent.\n\n(1, 2) is the only pair (a, b) that satisfies the conditions.\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\nSolver brief (required): read every token at once with sys.stdin.buffer.read().split() and walk an index across test cases. Per test case over array A of length 2N: record first[v] and second[v], the two 0-based positions of each value. Build SELF = values whose second equals first + 1. Scan every consecutive pair (j, j+1) with u = A[j], w = A[j+1], skipping u == w: when j == first[u] and j+1 == first[w], add unordered pair {u, w} to set F; when j == second[u] and j+1 == second[w], add it to set G. Answer is the number of pairs in both F and G whose two values are both outside SELF. Never enumerate value pairs in a double loop. Print answers joined by newlines. Return ONLY the complete Python 3 program implementing exactly this brief. No code fences, no explanations, no text before or after the program.", "response": "import sys\n\ndata = sys.stdin.buffer.read().split()\nidx = 0\nt = int(data[idx])\nidx += 1\nanswers = []\n\nfor _ in range(t):\n n = int(data[idx])\n idx += 1\n a = list(map(int, data[idx:idx + 2 * n]))\n idx += 2 * n\n\n first = [-1] * (n + 1)\n second = [-1] * (n + 1)\n\n for pos, v in enumerate(a):\n if first[v] == -1:\n first[v] = pos\n else:\n second[v] = pos\n\n self_vals = {\n v for v in range(1, n + 1)\n if second[v] == first[v] + 1\n }\n\n f = set()\n g = set()\n\n for j in range(2 * n - 1):\n u = a[j]\n w = a[j + 1]\n if u == w:\n continue\n\n pair = (u, w) if u < w else (w, u)\n\n if j == first[u] and j + 1 == first[w]:\n f.add(pair)\n if j == second[u] and j + 1 == second[w]:\n g.add(pair)\n\n answer = sum(\n 1 for u, v in f & g\n if u not in self_vals and v not in self_vals\n )\n answers.append(str(answer))\n\nsys.stdout.write(\"\\n\".join(answers))", "cost_usd": 0.00043099999999999996, "tokens_in": 908, "tokens_out": 567, "latency_s": 5.497}]