{"problem":{"name":"Enclose All","description":{"content":"Given are $N$ points $(x_i, y_i)$ in a two-dimensional plane. Find the minimum radius of a circle such that all the points are inside or on it.","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc151_f"},"statements":[{"statement_type":"Markdown","content":"Given are $N$ points $(x_i, y_i)$ in a two-dimensional plane.\nFind the minimum radius of a circle such that all the points are inside or on it.\n\n## Constraints\n\n*   $2 \\leq N \\leq 50$\n*   $0 \\leq x_i \\leq 1000$\n*   $0 \\leq y_i \\leq 1000$\n*   The given $N$ points are all different.\n*   The values in input are all integers.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$N$\n$x_1$ $y_1$\n$:$\n$x_N$ $y_N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc151_f","tags":[],"sample_group":[["2\n0 0\n1 0","0.500000000000000000\n\nBoth points are contained in the circle centered at $(0.5,0)$ with a radius of $0.5$."],["3\n0 0\n0 1\n1 0","0.707106781186497524"],["10\n10 9\n5 9\n2 0\n0 0\n2 7\n3 3\n2 5\n10 0\n3 7\n1 9","6.726812023536805158\n\nIf the absolute or relative error from our answer is at most $10^{-6}$, the output will be considered correct."]],"created_at":"2026-03-03 11:01:14"}}