2005Expanding Rods

2005   Expanding Rods

题目描述

When a thin rod of length L is heated n degrees, it expands to a new length L'=(1+n*C)*L, where C is the coefficient of heat expansion.

When a thin rod is mounted on two solid walls and then heated, it expands and takes the shape of a circular segment, the original rod being the chord of the segment.

Your task is to compute the distance by which the center of the rod is displaced.

输入格式:

The input contains multiple lines. Each line of input contains three non-negative numbers: the initial lenth of the rod in millimeters, the temperature change in degrees and the coefficient of heat expansion of the material. Input data guarantee that no rod expands by more than one half of its original length. The last line of input contains three negative numbers and it should not be processed.

输出格式:

For each line of input, output one line with the displacement of the center of the rod in millimeters with 3 digits of precision.


输入样例 复制
1000 100 0.0001
15000 10 0.00006
10 0 0.001
-1 -1 -1


输出样例 复制
61.329
225.020
0.000

说明

2
2
通过提交
时空限制2000ms/64mb
题目来源University of Waterloo Local Contest 2004.06.12
评测方式在线评测
题目类型
难        度