3个点 - Problem

#7127. 3个点

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This problem is prepared by ftiasch .

AI Translation — This statement was translated using AI and may contain inaccuracies. Please refer to the original statement if in doubt.

bobo 有 3 个点，分别是点 $A$、$B$ 和 $C$。现在他想找到一个点 $P$，使得 $|PA| + 2 \cdot |PB| + 3 \cdot |PC|$ 最小。

注意 $|AB|$ 表示点 $A$ 和点 $B$ 之间的欧几里得距离。

输入格式

输入共有 3 行，每行包含 2 个整数 $x_i, y_i$，分别表示点 $A$、$B$、$C$ 的坐标（$|x_i|, |y_i| \le 10000$）。

输出格式

输出一个浮点数，表示最小的总距离。绝对误差或相对误差在 $10^{-6}$ 以内均可被接受。

样例

输入 1

0 0
0 0
1 0

输出 1

3.000000000

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