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+ [{"task_id": "mmlu-882", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] Two xylem plant cell types that provide support and conduct water and minerals are the\nA) collenchyma and sclerenchyma\nB) sieve tube members and companion cells\nC) tracheids and vessel elements\nD) vessel elements and companion cells\n\nAnswer with the letter only.", "response": "C", "cost_usd": 1.02e-05, "tokens_in": 72, "tokens_out": 5, "latency_s": 1.068}, {"task_id": "mmlu-10116", "model": "openai/gpt-5.6-luna", "prompt": "[MMLU] What contributes to societies becoming more complex?\nA) Surplus food is stored in large, collective facilities.\nB) Crop irrigation requires the construction of dams or canals.\nC) Sedentary communities need to defend themselves.\nD) All of the above.\n\nAnswer with the letter only.", "response": "D", "cost_usd": 9.700000000000002e-06, "tokens_in": 67, "tokens_out": 5, "latency_s": 1.069}, {"task_id": "gsm8k-585", "model": "openai/gpt-5.6-luna", "prompt": "Tabitha agreed to pay John and Jill $10 an hour to help clean out her attic and basement. Jill worked 2 hours on Saturday and 1 hour on Sunday. John worked twice as long as Jill on Saturday and three times as long as Jill on Sunday. How much more money did John earn compared to Jill?\n\nReason step by step, then give the final answer as a single number.", "response": "Jill worked \$2+1=3\$ hours.\n\nJohn worked:\n- Saturday: \$2 \\times 2=4\$ hours\n- Sunday: \$3 \\times 1=3\$ hours\n\nJohn worked \$4+3=7\$ hours, which is \$7-3=4\$ hours more than Jill.\n\nAt $10 per hour, John earned \$4 \\times 10=\$\n\n\\[\n\\boxed{40}\n\\]", "cost_usd": 0.00010670000000000002, "tokens_in": 89, "tokens_out": 163, "latency_s": 3.366}, {"task_id": "gsm8k-1146", "model": "openai/gpt-5.6-luna", "prompt": "Adam has $100 and wants to spend it to open a rock stand. He can buy rocks for $5 each and sell them for $7 each. If he invests all his money in the rock stand but only sells 60% of his inventory, how much money does he lose?\n\nReason step by step, then give the final answer as a single number.", "response": "Adam buys \$100 \\div 5 = 20\$ rocks.\n\nHe sells \$60\\%\$ of them: \$20 \\times 0.6 = 12\$ rocks.\n\nHis sales revenue is \$12 \\times 7 = 84\$ dollars.\n\nHis loss is \$100 - 84 = 16\$.\n\n\\[\n\\boxed{16}\n\\]", "cost_usd": 0.0001351, "tokens_in": 79, "tokens_out": 212, "latency_s": 3.259}, {"task_id": "lcb-abc390_a", "model": "openai/gpt-5.6-luna", "prompt": "You are given an integer sequence A=(A_1,A_2,A_3,A_4,A_5) obtained by permuting (1,2,3,4,5).\nDetermine whether A can be sorted in ascending order by performing exactly one operation of swapping two adjacent elements in A.\n\nInput\n\nThe input is given from Standard Input in the following format:\nA_1 A_2 A_3 A_4 A_5\n\nOutput\n\nIf A can be sorted in ascending order by exactly one operation, print Yes; otherwise, print No.\n\nConstraints\n\n\n- A is an integer sequence of length 5 obtained by permuting (1,2,3,4,5).\n\nSample Input 1\n\n1 2 4 3 5\n\nSample Output 1\n\nYes\r\n\nBy swapping A_3 and A_4, A becomes (1,2,3,4,5), so it can be sorted in ascending order. Therefore, print Yes.\n\nSample Input 2\n\n5 3 2 4 1\n\nSample Output 2\n\nNo\r\n\nNo matter what operation is performed, it is impossible to sort A in ascending order.\n\nSample Input 3\n\n1 2 3 4 5\n\nSample Output 3\n\nNo\r\n\nYou must perform exactly one operation.\n\nSample Input 4\n\n2 1 3 4 5\n\nSample Output 4\n\nYes\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": "a = list(map(int, input().split()))\n\nfor i in range(4):\n b = a[:]\n b[i], b[i + 1] = b[i + 1], b[i]\n if b == [1, 2, 3, 4, 5]:\n print(\"Yes\")\n break\nelse:\n print(\"No\")", "cost_usd": 8.149999999999998e-05, "tokens_in": 329, "tokens_out": 81, "latency_s": 2.636}, {"task_id": "lcb-abc400_d", "model": "google/gemini-3.6-flash", "prompt": "Takahashi is about to go buy eel at a fish shop.\nThe town where he lives is divided into a grid of H rows and W columns. Each cell is either a road or a wall.\r\nLet us denote the cell at the i-th row from the top (1\\leq i \\leq H) and the j-th column from the left (1\\leq j \\leq W) as cell (i,j).\r\nInformation about each cell is given by H strings S_1,S_2,\\ldots,S_H, each of length W. Specifically, if the j-th character of S_i (1\\leq i \\leq H,1\\leq j\\leq W) is ., cell (i,j) is a road; if it is #, cell (i,j) is a wall.\nHe can repeatedly perform the following two types of actions in any order:\n\n- Move to an adjacent cell (up, down, left, or right) that is within the town and is a road.\n- Choose one of the four directions (up, down, left, or right) and perform a front kick in that direction.\r\n When he performs a front kick, for each of the cells at most 2 steps away in that direction from the cell he is currently in, if that cell is a wall, it becomes a road.\r\n If some of the cells at most 2 steps away are outside the town, a front kick can still be performed, but anything outside the town does not change.\n\nHe starts in cell (A,B), and he wants to move to the fish shop in cell (C,D).\r\nIt is guaranteed that both the cell where he starts and the cell with the fish shop are roads.\r\nFind the minimum number of front kicks he needs in order to reach the fish shop.\n\nInput\n\nThe input is given from Standard Input in the following format:\nH W\r\nS_1\r\nS_2\r\n\\vdots\r\nS_H\r\nA B C D\n\nOutput\n\nPrint the minimum number of front kicks needed for Takahashi to reach the fish shop.\n\nConstraints\n\n\n- 1\\leq H\\leq 1000\n- 1\\leq W\\leq 1000\n- Each S_i is a string of length W consisting of . and #.\n- 1\\leq A,C\\leq H\n- 1\\leq B,D\\leq W\n- (A,B)\\neq (C,D)\n- H, W, A, B, C, and D are integers.\n- The cell where Takahashi starts and the cell with the fish shop are roads.\n\nSample Input 1\n\n10 10\r\n..........\r\n#########.\r\n#.......#.\r\n#..####.#.\r\n##....#.#.\r\n#####.#.#.\r\n.##.#.#.#.\r\n###.#.#.#.\r\n###.#.#.#.\r\n#.....#...\r\n1 1 7 1\n\nSample Output 1\n\n1\r\n\nTakahashi starts in cell (1,1).\r\nBy repeatedly moving to adjacent road cells, he can reach cell (7,4).\r\nIf he performs a front kick to the left from cell (7,4), cells (7,3) and (7,2) turn from walls to roads.\r\nThen, by continuing to move through road cells (including those that have become roads), he can reach the fish shop in cell (7,1).\nIn this case, the number of front kicks performed is 1, and it is impossible to reach the fish shop without performing any front kicks, so print 1.\n\nSample Input 2\n\n2 2\r\n.#\r\n#.\r\n1 1 2 2\n\nSample Output 2\n\n1\r\n\nTakahashi starts in cell (1,1).\r\nWhen he performs a front kick to the right, cell (1,2) turns from a wall to a road.\r\nThe cell two steps to the right of (1,1) is outside the town, so it does not change.\r\nThen, he can move to cell (1,2) and then to the fish shop in cell (2,2).\nIn this case, the number of front kicks performed is 1, and it is impossible to reach the fish shop without performing any front kicks, so print 1.\n\nSample Input 3\n\n1 3\r\n.#.\r\n1 1 1 3\n\nSample Output 3\n\n1\r\n\nWhen performing a front kick, it is fine if the fish shop\u2019s cell is within the cells that could be turned into a road. Specifically, the fish shop\u2019s cell is a road from the beginning, so it remains unchanged; particularly, the shop is not destroyed by the front kick.\n\nSample Input 4\n\n20 20\r\n####################\r\n##...##....###...###\r\n#.....#.....#.....##\r\n#..#..#..#..#..#..##\r\n#..#..#....##..#####\r\n#.....#.....#..#####\r\n#.....#..#..#..#..##\r\n#..#..#.....#.....##\r\n#..#..#....###...###\r\n####################\r\n####################\r\n##..#..##...###...##\r\n##..#..#.....#.....#\r\n##..#..#..#..#..#..#\r\n##..#..#..#..#..#..#\r\n##.....#..#..#..#..#\r\n###....#..#..#..#..#\r\n#####..#.....#.....#\r\n#####..##...###...##\r\n####################\r\n3 3 18 18\n\nSample Output 4\n\n3\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\nfrom collections import deque\n\ndef solve():\n input = sys.stdin.read\n data = input().split()\n if not data:\n return\n \n H = int(data[0])\n W = int(data[1])\n \n grid = data[2:2+H]\n \n A = int(data[2+H]) - 1\n B = int(data[2+H+1]) - 1\n C = int(data[2+H+2]) - 1\n D = int(data[2+H+3]) - 1\n\n dist = [-1] * (H * W)\n start_idx = A * W + B\n target_idx = C * W + D\n \n dist[start_idx] = 0\n q = deque([start_idx])\n \n dr = [-1, 1, 0, 0]\n dc = [0, 0, -1, 1]\n \n # Pre-calculate 1-cost kick offsets\n kick_offsets = []\n for d in range(4):\n r_step, c_step = dr[d], dc[d]\n kick_offsets.append((r_step, c_step))\n kick_offsets.append((2 * r_step, 2 * c_step))\n\n while q:\n curr = q.popleft()\n d_curr = dist[curr]\n \n if curr == target_idx:\n print(d_curr)\n return\n\n r = curr // W\n c = curr % W\n\n # 0-cost moves to adjacent '.'\n for i in range(4):\n nr = r + dr[i]\n nc = c + dc[i]\n if 0 <= nr < H and 0 <= nc < W and grid[nr][nc] == '.':\n nidx = nr * W + nc\n if dist[nidx] == -1 or dist[nidx] > d_curr:\n dist[nidx] = d_curr\n q.appendleft(nidx)\n\n # 1-cost kick moves (up to 2 steps in 4 directions)\n d_next = d_curr + 1\n for kr, kc in kick_offsets:\n nr = r + kr\n nc = c + kc\n if 0 <= nr < H and 0 <= nc < W:\n nidx = nr * W + nc\n if dist[nidx] == -1:\n dist[nidx] = d_next\n q.append(nidx)\n\nif __name__ == '__main__':\n solve()", "cost_usd": 0.0303705, "tokens_in": 1252, "tokens_out": 3799, "latency_s": 19.771}]