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题目描述

A square of positive (strictly greater than 00 ) area is located on the coordinate plane, with sides parallel to the coordinate axes. You are given the coordinates of its corners, in random order. Your task is to find the area of the square.

输入格式

Each test consists of several testcases. The first line contains one integer tt ( 1t1001 \le t \le 100 ) — the number of testcases. The following is a description of the testcases.

Each testcase contains four lines, each line contains two integers xi,yix_i, y_i ( 1000xi,yi1000-1000\le x_i, y_i\le 1000 ), coordinates of the corners of the square.

It is guaranteed that there is a square with sides parallel to the coordinate axes, with positive (strictly greater than 00 ) area, with corners in given points.

输出格式

For each test case, print a single integer, the area of the square.

输入输出样例

  • 输入#1

    3
    1 2
    4 5
    1 5
    4 2
    -1 1
    1 -1
    1 1
    -1 -1
    45 11
    45 39
    17 11
    17 39

    输出#1

    9
    4
    784
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