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+[{"task_id": "mmlu-2294", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Find the number that makes the statement true: 48 m = Box mm.\nA) 48,000\nB) 480\nC) 4,800\nD) 5\n\nAnswer with the letter only.", "response": "A", "cost_usd": 2.42e-05, "tokens_in": 56, "tokens_out": 31, "latency_s": 2.713}, {"task_id": "mmlu-13732", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Most pandemics have arisen from influenza viruses from which of the following animals?\nA) Pigs\nB) Wild birds\nC) Bats\nD) Humans\n\nAnswer with the letter only.", "response": "B", "cost_usd": 2.6600000000000003e-05, "tokens_in": 50, "tokens_out": 36, "latency_s": 1.758}, {"task_id": "gsm8k-541", "model": "openai/gpt-5.6-luna", "prompt": "Elvis has a monthly saving target of $1125. In April, he wants to save twice as much daily in the second half as he saves in the first half in order to hit his target. How much does he have to save for each day in the second half of the month?\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 4171983351527754474 is answer-independent metadata; do not reproduce it.", "response": "April has 30 days, so each half has 15 days.\n\nLet the first-half daily savings be \\(x\\). The second-half daily savings are \\(2x\\).\n\n\\[\n15x+15(2x)=1125\n\\]\n\n\\[\n45x=1125 \\quad\\Rightarrow\\quad x=25\n\\]\n\nThus, the second-half daily savings are:\n\n\\[\n2(25)=50\n\\]\n\n50", "cost_usd": 0.00010949999999999999, "tokens_in": 117, "tokens_out": 163, "latency_s": 2.811}, {"task_id": "gsm8k-1057", "model": "openai/gpt-5.6-luna", "prompt": "Jill and her friends watch 4 movies every Saturday and half the number of movies on Sunday than on Saturday. If they watch movies every weekend, how many movies can they watch in 4 weeks?\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 13171775052824394602 is answer-independent metadata; do not reproduce it.", "response": "Saturday: 4 movies  \nSunday: half of 4 = 2 movies  \nEach weekend: 4 + 2 = 6 movies  \nIn 4 weeks: 6 \u00d7 4 = 24 movies  \n\n24", "cost_usd": 6.81e-05, "tokens_in": 99, "tokens_out": 97, "latency_s": 2.001}, {"task_id": "lcb-abc392_b", "model": "openai/gpt-5.6-luna", "prompt": "You are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an integer between 1 and N, inclusive, and all elements are distinct.\nList all integers between 1 and N that do not appear in A in ascending order.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\nA_1 A_2 \\dots A_M\n\nOutput\n\nLet (X_1, X_2, \\dots, X_C) be the sequence of all integers between 1 and N, inclusive, that do not appear in A, listed in ascending order.\nThe output should be in the following format:\nC\nX_1 X_2 \\dots X_C\n\nConstraints\n\n\n- All input values are integers.\n- 1 \\le M \\le N \\le 1000\n- 1 \\le A_i \\le N\n- The elements of A are distinct.\n\nSample Input 1\n\n10 3\n3 9 2\n\nSample Output 1\n\n7\n1 4 5 6 7 8 10\n\nHere, A=(3,9,2).\nThe integers between 1 and 10 that do not appear in A, listed in ascending order, are 1,4,5,6,7,8,10.\n\nSample Input 2\n\n6 6\n1 3 5 2 4 6\n\nSample Output 2\n\n0\n\n\nNo integer between 1 and 6 is missing from A.\nIn this case, print 0 on the first line and leave the second line empty.\n\nSample Input 3\n\n9 1\n9\n\nSample Output 3\n\n8\n1 2 3 4 5 6 7 8\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\ndata = list(map(int, sys.stdin.buffer.read().split()))\nN, M = data[0], data[1]\npresent = set(data[2:2 + M])\n\nmissing = [x for x in range(1, N + 1) if x not in present]\n\nprint(len(missing))\nprint(*missing)", "cost_usd": 0.0001389, "tokens_in": 477, "tokens_out": 152, "latency_s": 2.609}, {"task_id": "lcb-abc388_c", "model": "openai/gpt-5.6-luna", "prompt": "There are N mochi (rice cakes) arranged in ascending order of size.\r\nThe size of the i-th mochi (1 \\leq i \\leq N) is A_i.\nGiven two mochi A and B, with sizes a and b respectively, you can make one kagamimochi (a stacked rice cake) by placing mochi A on top of mochi B if and only if a is at most half of b.\nYou choose two mochi out of the N mochi, and place one on top of the other to form one kagamimochi.\nFind how many different kinds of kagamimochi can be made.\nTwo kagamimochi are distinguished if at least one of the mochi is different, even if the sizes of the mochi are the same.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nA_1 A_2 \\cdots A_N\n\nOutput\n\nPrint the number of different kinds of kagamimochi that can be made.\n\nConstraints\n\n\n- 2 \\leq N \\leq 5 \\times 10^5\n- 1 \\leq A_i \\leq 10^9 \\ (1 \\leq i \\leq N)\n- A_i \\leq A_{i+1} \\ (1 \\leq i < N)\n- All input values are integers.\n\nSample Input 1\n\n6\r\n2 3 4 4 7 10\n\nSample Output 1\n\n8\r\n\nThe sizes of the given mochi are as follows:\n\nIn this case, you can make the following eight kinds of kagamimochi:\n\nNote that there are two kinds of kagamimochi where a mochi of size 4 is topped by a mochi of size 2, and two kinds where a mochi of size 10 is topped by a mochi of size 4.\n\nSample Input 2\n\n3\r\n387 388 389\n\nSample Output 2\n\n0\r\n\nIt is possible that you cannot make any kagamimochi.\n\nSample Input 3\n\n32\r\n1 2 4 5 8 10 12 16 19 25 33 40 50 64 87 101 149 175 202 211 278 314 355 405 412 420 442 481 512 582 600 641\n\nSample Output 3\n\n388\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 = data[0]\n    a = data[1:1 + n]\n\n    p = 0\n    ans = 0\n\n    for j, x in enumerate(a):\n        while p < j and 2 * a[p] <= x:\n            p += 1\n        ans += p\n\n    print(ans)\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.00064, "tokens_in": 604, "tokens_out": 966, "latency_s": 8.198}, {"task_id": "lcb-abc388_c", "model": "google/gemini-3.6-flash", "prompt": "There are N mochi (rice cakes) arranged in ascending order of size.\r\nThe size of the i-th mochi (1 \\leq i \\leq N) is A_i.\nGiven two mochi A and B, with sizes a and b respectively, you can make one kagamimochi (a stacked rice cake) by placing mochi A on top of mochi B if and only if a is at most half of b.\nYou choose two mochi out of the N mochi, and place one on top of the other to form one kagamimochi.\nFind how many different kinds of kagamimochi can be made.\nTwo kagamimochi are distinguished if at least one of the mochi is different, even if the sizes of the mochi are the same.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nA_1 A_2 \\cdots A_N\n\nOutput\n\nPrint the number of different kinds of kagamimochi that can be made.\n\nConstraints\n\n\n- 2 \\leq N \\leq 5 \\times 10^5\n- 1 \\leq A_i \\leq 10^9 \\ (1 \\leq i \\leq N)\n- A_i \\leq A_{i+1} \\ (1 \\leq i < N)\n- All input values are integers.\n\nSample Input 1\n\n6\r\n2 3 4 4 7 10\n\nSample Output 1\n\n8\r\n\nThe sizes of the given mochi are as follows:\n\nIn this case, you can make the following eight kinds of kagamimochi:\n\nNote that there are two kinds of kagamimochi where a mochi of size 4 is topped by a mochi of size 2, and two kinds where a mochi of size 10 is topped by a mochi of size 4.\n\nSample Input 2\n\n3\r\n387 388 389\n\nSample Output 2\n\n0\r\n\nIt is possible that you cannot make any kagamimochi.\n\nSample Input 3\n\n32\r\n1 2 4 5 8 10 12 16 19 25 33 40 50 64 87 101 149 175 202 211 278 314 355 405 412 420 442 481 512 582 600 641\n\nSample Output 3\n\n388\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\nWork independently without seeing another solution. Return one raw executable Python program derived by a structurally different route. Oracle must be a simple correctness-first program for small legal inputs and must not reuse the candidate algorithm. Generator must accept seed and size arguments, seed Python random, and print one varied legal input. Append oracle lines between comments `# ORACLE-BEGIN` and `# ORACLE-END`, prefixing every line with `#|`. Append generator lines the same way between `# GENERATOR-BEGIN` and `# GENERATOR-END`. Those comment sections must be inert when the complete response is executed as the candidate.", "response": "import sys\n\ndef main():\n    input_data = sys.stdin.read().split()\n    if not input_data:\n        return\n    N = int(input_data[0])\n    A = [int(x) for x in input_data[1:]]\n\n    ans = 0\n    ptr = 0\n    for x in A:\n        while ptr < N and A[ptr] * 2 <= x:\n            ptr += 1\n        ans += ptr\n\n    print(ans)\n\nif __name__ == '__main__':\n    main()\n\n# ORACLE-BEGIN\n#|import sys\n#|\n#|def oracle_main():\n#|    input_data = sys.stdin.read().split()\n#|    if not input_data:\n#|        return\n#|    N = int(input_data[0])\n#|    A = [int(x) for x in input_data[1:]]\n#|    ans = 0\n#|    for i in range(N):\n#|        for j in range(N):\n#|            if i != j and A[i] * 2 <= A[j]:\n#|                ans += 1\n#|    print(ans)\n#|\n#|if __name__ == '__main__':\n#|    oracle_main()\n# ORACLE-END\n\n# GENERATOR-BEGIN\n#|import sys\n#|import random\n#|\n#|def generator_main():\n#|    seed = int(sys.argv[1]) if len(sys.argv) > 1 else 42\n#|    size = int(sys.argv[2]) if len(sys.argv) > 2 else 10\n#|    random.seed(seed)\n#|    N = random.randint(2, max(2, size))\n#|    A = [random.randint(1, 100) for _ in range(N)]\n#|    A.sort()\n#|    print(N)\n#|    print(*A)\n#|\n#|if __name__ == '__main__':\n#|    generator_main()\n# GENERATOR-END", "cost_usd": 0.0107925, "tokens_in": 725, "tokens_out": 2733, "latency_s": 12.656}]