{"database": "grpo-gsm8k-train", "table": "results", "rows": [[76, "grpo-gsm8k-train-13ep-success_global_step_50", "gsm8k_main(0)", "75", "Question: Luke is spending time at the beach building sandcastles. He eventually notices that each level of a sandcastle will have half the square footage as the level below it. If he makes a 4 leveled sandcastle where the top level has a square footage of 16, what is the average square footage of a level?\nAnswer:", "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nOutput format: end your response with \\boxed{<answer>} where <answer> is the final answer.\n\nQuestion: Luke is spending time at the beach building sandcastles. He eventually notices that each level of a sandcastle will have half the square footage as the level below it. If he makes a 4 leveled sandcastle where the top level has a square footage of 16, what is the average square footage of a level?\nAnswer:<|im_end|>\n<|im_start|>assistant\n", "60", 0, "[7.5]", "[stop:-]", "To find the average square footage of a level in Luke's 4-level sandcastle, we need to determine the square footage of each level and then calculate the average.\n\nGiven:\n- The top level (4th level) has a square footage of 16.\n- Each level below has half the square footage of the level above it.\n\nLet's denote the square footage of the 4th level as \\( A_4 = 16 \\).\n\nThe square footage of the 3rd level (\\( A_3 \\)) is:\n\\[ A_3 = \\frac{A_4}{2} = \\frac{16}{2} = 8 \\]\n\nThe square footage of the 2nd level (\\( A_2 \\)) is:\n\\[ A_2 = \\frac{A_3}{2} = \\frac{8}{2} = 4 \\]\n\nThe square footage of the 1st level (\\( A_1 \\)) is:\n\\[ A_1 = \\frac{A_2}{2} = \\frac{4}{2} = 2 \\]\n\nNow, we sum the square footages of all four levels:\n\\[ A_1 + A_2 + A_3 + A_4 = 2 + 4 + 8 + 16 = 30 \\]\n\nTo find the average square footage per level, we divide the total square footage by the number of levels:\n\\[ \\text{Average} = \\frac{30}{4} = 7.5 \\]\n\nThus, the average square footage of a level is:\n\\[\n\\boxed{7.5}\n\\]"]], "columns": ["id", "model_name", "task_name", "sample_id", "prompt_actual", "prompt_full", "gold_answer", "is_correct", "extracted_answers", "stop_reasons", "response_1"], "primary_keys": ["id"], "primary_key_values": ["76"], "units": {}, "query_ms": 1.1776918545365334}