{"problem":{"name":"Dist Max","description":{"content":"There are $N$ points on the 2D plane, $i$\\-th of which is located on $(x_i, y_i)$. There can be multiple points that share the same coordinate. What is the maximum possible Manhattan distance between ","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc178_e"},"statements":[{"statement_type":"Markdown","content":"There are $N$ points on the 2D plane, $i$\\-th of which is located on $(x_i, y_i)$. There can be multiple points that share the same coordinate. What is the maximum possible Manhattan distance between two distinct points?\nHere, the _Manhattan distance_ between two points $(x_i, y_i)$ and $(x_j, y_j)$ is defined by $|x_i-x_j| + |y_i-y_j|$.\n\n## Constraints\n\n*   $2 \\leq N \\leq 2 \\times 10^5$\n*   $1 \\leq x_i,y_i \\leq 10^9$\n*   All values in input are integers.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$N$\n$x_1$ $y_1$\n$x_2$ $y_2$\n$:$\n$x_N$ $y_N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc178_e","tags":[],"sample_group":[["3\n1 1\n2 4\n3 2","4\n\nThe Manhattan distance between the first point and the second point is $|1-2|+|1-4|=4$, which is maximum possible."],["2\n1 1\n1 1","0"]],"created_at":"2026-03-03 11:01:14"}}