5483: Ink on paper

内存限制:256 MB 时间限制:20.000 S
评测方式:文本比较 命题人:
提交:9 解决:3

题目描述

Bob accidentally spilled some drops of ink on the paper. The initial position of the i-th drop of ink is (xi,yi), which expands outward by 0.5 centimeter per second, showing a circle.
The curious Bob wants to know how long it will take for all the inks to become connected. In order to facilitate the output, please output the square of the time.

输入

The first line of input contains one integer T(1≤T≤5), indicating the number of test cases.
For each test case, the first line contains one integer n(2≤n≤5000), indicating the number of ink on the paper.
Each of the next n lines contains 2 integers (xi,yi)(|xi|≤109,|yi|≤109), indicating that x and y coordinates of the ink.

输出

For each test case, output one line containing one decimal, denoting the answer.

样例输入 复制

2
3
0 0
1 1
0 1
5
1 1
4 5
1 4
2 6
3 10

样例输出 复制

1
17