{"problem":{"name":"求 f(x,n)","description":{"content":"已知 $f(x,n)=\\sqrt{n+\\sqrt{(n-1)+\\sqrt{(n-2)+\\sqrt{...+2+\\sqrt{1+x}}}}}$。 计算 $f(x,n)$ 的值。","description_type":"Markdown"},"platform":"Luogu","limit":{"time_limit":1000,"memory_limit":131072},"difficulty":{"LuoguStyle":"P1"},"is_remote":true,"is_sync":true,"sync_url":null,"sign":"LGB2147"},"statements":[{"statement_type":"Markdown","content":"已知 $f(x,n)=\\sqrt{n+\\sqrt{(n-1)+\\sqrt{(n-2)+\\sqrt{...+2+\\sqrt{1+x}}}}}$。\n\n计算 $f(x,n)$ 的值。\n\n## Input\n\n输入 $x$ 和 $n$。\n\n## Output\n\n函数值，保留两位小数。\n\n[samples]\n\n## Note\n\n#### 数据范围\n\n对于 $100\\%$ 的数据，$1 \\le x,n \\le 10$。","is_translate":false,"language":"English"}],"meta":{"iden":"LGB2147","tags":["函数与递归"],"sample_group":[["4.2 10","3.68"]],"created_at":"2026-03-03 11:09:25"}}