시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 (추가 시간 없음) 512 MB0000.000%

## 문제

Do you like problems with short and clear statement? You are given three balls in three-dimensional space. The balls do not intersect and have different radii. Find the volume of their convex hull.

## 입력

The input consists of three lines, each line describes one ball.

Each line contains four integers $x_k$, $y_k$, $z_k$, $r_k$: the coordinates of the center of the $k$-th ball and its radius ($1 \leq r_k \leq 100$, $0 \leq x_k, y_k, z_k \leq 100$).

It is guaranteed that the balls do not intersect and do not touch. In addition, $r_1 < r_2 < r_3$.

## 출력

Print the volume of the convex hull. The output will be accepted if it has absolute or relative error at most $10^{-7}$.

## 예제 입력 1

10 0 0 1
0 10 0 2
0 0 10 3


## 예제 출력 1

691.832383333484585819