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+ [{"task_id": "mmlu-11058", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] One evening, a defendant was at a party and offered to sell an ounce of marijuana to a partygoer. The partygoer agreed to purchase the marijuana and gave the defendant $200. In return, the defendant handed the partygoer a bag containing what appeared to be marijuana. At the time of the transaction, the defendant knew that the bag did not contain marijuana but, instead, was oregano. The defendant is guilty for which, if any, of the following crimes?\nA) Solicitation and attempted sale of narcotics.\nB) Attempted sale of narcotics and false pretenses.\nC) False pretenses.\nD) Solicitation, attempted sale of narcotics, and false pretenses.\n\nAnswer with the letter only.", "response": "B", "cost_usd": 0.0001623, "tokens_in": 159, "tokens_out": 244, "latency_s": 5.517}, {"task_id": "mmlu-852", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Which of the following statements about mitochondria and chloroplasts is generally true?\nA) Plants have chloroplasts but no mitochondria; animals have mitochondria but no chloroplasts.\nB) Plants have chloroplasts but no mitochondria; fungi have mitochondria but no chloroplasts.\nC) Plants and fungi have chloroplasts but no mitochondria; animals have only mitochondria.\nD) Plants have both chloroplasts and mitochondria; animals and fungi have only mitochondria.\n\nAnswer with the letter only.", "response": "D", "cost_usd": 1.4600000000000003e-05, "tokens_in": 116, "tokens_out": 5, "latency_s": 0.613}, {"task_id": "gsm8k-1086", "model": "openai/gpt-5.6-luna", "prompt": "Marcel runs a bicycle store. His main products are three types of bikes: MTB, BMX, and Trekking. The price of one MTB is $500, BMX is half the price of an MTB, and a Trekking bike is $450. In one month, Marcel sold a total of 300 bikes among the types listed. Half of them were Trekking bikes, and 15% were BMX bikes. The rest of the sold bikes were MTB type. How much did Marcel earn from selling bicycles during that month?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and place the final numeric answer alone on the last line. The following fixed provenance sentinel is unrelated to the problem and must not appear in the response: 271828182845904523536", "response": "Total bikes sold: 300\n\n- Trekking bikes: \$50\\% \\times 300 = 150\$\n- BMX bikes: \$15\\% \\times 300 = 45\$\n- MTB bikes: \$300 - 150 - 45 = 105\$\n\nPrices:\n\n- MTB: $500\n- BMX: \$500 \\div 2 = $250\$\n- Trekking: $450\n\nRevenue:\n\n- MTB: \$105 \\times 500 = 52{,}500\$\n- BMX: \$45 \\times 250 = 11{,}250\$\n- Trekking: \$150 \\times 450 = 67{,}500\$\n\nTotal earnings:\n\n\\[\n52{,}500 + 11{,}250 + 67{,}500 = 131{,}250\n\\]\n\n131250", "cost_usd": 0.00016520000000000003, "tokens_in": 170, "tokens_out": 247, "latency_s": 2.997}, {"task_id": "gsm8k-906", "model": "openai/gpt-5.6-luna", "prompt": "Tim has a box with 7 blue shoe boxes and 9 red shoe boxes. If he uses 3 blue shoeboxes and 1/3 red of his shoeboxes to go fishing, how many red and blue shoe boxes are left in Tim's box?\n\nReason step by step, then give the final answer as a single number.\n\nSolve in the requested units and place the final numeric answer alone on the last line. The following fixed provenance sentinel is unrelated to the problem and must not appear in the response: 271828182845904523536", "response": "Tim has 7 blue and 9 red shoeboxes.\n\n- Blue left: \$7 - 3 = 4\$\n- Red used: \$\\frac{1}{3} \\times 9 = 3\$\n- Red left: \$9 - 3 = 6\$\n- Total left: \$4 + 6 = 10\$\n\n10", "cost_usd": 0.00011269999999999997, "tokens_in": 119, "tokens_out": 168, "latency_s": 3.45}, {"task_id": "lcb-abc400_a", "model": "openai/gpt-5.6-luna", "prompt": "In the ceremony commemorating ABC400, we want to arrange 400 people in a rectangular formation of A rows and B columns without any gaps.\nYou are given a positive integer A. Print the value of a positive integer B for which such an arrangement is possible. If there is no such positive integer B, print -1.\n\nInput\n\nThe input is given from Standard Input in the following format:\nA\n\nOutput\n\nPrint the value of B or -1 as specified by the problem statement.\n\nConstraints\n\n\n- A is an integer between 1 and 400, inclusive.\n\nSample Input 1\n\n10\n\nSample Output 1\n\n40\r\n\nWe can arrange 400 people in 10 rows and 40 columns.\n\nSample Input 2\n\n11\n\nSample Output 2\n\n-1\n\nSample Input 3\n\n400\n\nSample Output 3\n\n1\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\nBefore writing the program, privately perform two independent reviews. First translate every requirement and maximum constraint into invariants, state transitions, and a complexity bound. Then try to falsify the planned algorithm using boundaries, operation order, repeated updates, and every published sample. Reconcile any conflict before answering. Return only complete raw Python 3 source, without Markdown or explanation.", "response": "a = int(input())\nprint(400 // a if 400 % a == 0 else -1)", "cost_usd": 5.849999999999996e-05, "tokens_in": 285, "tokens_out": 50, "latency_s": 1.373}, {"task_id": "lcb-abc399_c", "model": "openai/gpt-5.6-luna", "prompt": "You are given a simple undirected graph with N vertices and M edges, where the vertices are labeled 1 to N. The i-th edge connects vertices u_i and v_i.\r\nWhat is the minimum number of edges that need to be deleted from this graph so that the graph becomes a forest?\n\nWhat is a forest?\r\n\r\nA simple undirected graph F is called a forest if and only if F does not contain any cycle.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\r\nu_1 v_1\r\nu_2 v_2\r\n\\vdots\r\nu_M v_M\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 1 \\leq N \\leq 2 \\times 10^5\n- 0 \\leq M \\leq \\min \\left( \\frac{N(N-1)}{2}, 2 \\times 10^5\\right)\n- 1 \\leq u_i < v_i \\leq N\n- The given graph is simple.\n- All input values are integers.\n\nSample Input 1\n\n4 4\r\n1 2\r\n1 3\r\n2 4\r\n3 4\n\nSample Output 1\n\n1\r\n\nFor example, if you delete the first edge, the graph becomes a forest.\n\nSample Input 2\n\n5 0\n\nSample Output 2\n\n0\n\nSample Input 3\n\n10 10\r\n7 9\r\n4 6\r\n6 10\r\n2 5\r\n5 6\r\n5 9\r\n6 8\r\n4 8\r\n1 5\r\n1 4\n\nSample Output 3\n\n2\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\nBefore writing the program, privately perform two independent reviews. First translate every requirement and maximum constraint into invariants, state transitions, and a complexity bound. Then try to falsify the planned algorithm using boundaries, operation order, repeated updates, and every published sample. Reconcile any conflict before answering. Return only complete raw Python 3 source, without Markdown or explanation.", "response": "import sys\n\ndef main():\n data = list(map(int, sys.stdin.buffer.read().split()))\n if not data:\n return\n\n n, m = data[0], data[1]\n parent = list(range(n + 1))\n size = [1] * (n + 1)\n\n def find(x):\n while parent[x] != x:\n parent[x] = parent[parent[x]]\n x = parent[x]\n return x\n\n removed = 0\n idx = 2\n for _ in range(m):\n u, v = data[idx], data[idx + 1]\n idx += 2\n ru, rv = find(u), find(v)\n if ru == rv:\n removed += 1\n else:\n if size[ru] < size[rv]:\n ru, rv = rv, ru\n parent[rv] = ru\n size[ru] += size[rv]\n\n print(removed)\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.00020969999999999995, "tokens_in": 453, "tokens_out": 274, "latency_s": 3.435}]