题目描述

Bobo has a triangle ABC with $A(x_1, y_1), B(x_2, y_2)$ and $C(x_3, y_3)$. Picking a point P uniformly in triangle ABC, he wants to know the expectation value $E = \max\{S_{PAB}, S_{PBC}, S_{PCA}\}$ where $S_{XYZ}$​ denotes the area of triangle XYZ.

Print the value of $36 \times E$. It can be proved that it is always an integer.

输入格式

The input consists of several test cases and is terminated by end-of-file.

Each test case contains six integers $x_1, y_1, x_2, y_2, x_3, y_3$​.

• $ |x_1|, |y_1|, |x_2|, |y_2|, |x_3|, |y_3| \leq 10^8 $
• There are at most $10^5$ test cases.

输出格式

For each test case, print an integer which denotes the result.

样例

样例输入

0 0 1 1 2 2
0 0 0 0 1 1
0 0 0 0 0 0

样例输出

0
0
0