ZOJ_1241_Geometry Made Simple

Geometry Made Simple

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Time Limit: 2 Seconds      Memory Limit: 65536 KB

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Mathematics can be so easy when you have a computer. Consider the following example. You probably know that in a right-angled triangle, the length of the three sides a, b, c (where c is the longest side, called the hypotenuse) satisfy the relation a*a+b*b=c*c. This is called Pythagora's Law.

Here we consider the problem of computing the length of the third side, if two are given.

Input

The input contains the descriptions of several triangles. Each description consists of a line containing three integers a, b and c, giving the lengths of the respective sides of a right-angled triangle. Exactly one of the three numbers is equal to -1 (the 'unknown' side), the others are positive (the 'given' sides).

A description having a=b=c=0 terminates the input.

Output

For each triangle description in the input, first output the number of the triangle, as shown in the sample output. Then print "Impossible." if there is no right-angled triangle, that has the 'given' side lengths. Otherwise output the length of the 'unknown' side in the format "s = l", where s is the name of the unknown side (a, b or c), and l is its length. l must be printed exact to three digits to the right of the decimal point.

Print a blank line after each test case.

Sample Input

3 4 -1
-1 2 7
5 -1 3
0 0 0

Sample Output

Triangle #1
c = 5.000

Triangle #2
a = 6.708

Triangle #3
Impossible.

题意和思路：这个题目确实是水题。。没人做不出来吧？真心不想说思路了。。自己看代码吧。。

Sample Program Here

/******************************************
**
**      Author: Wan KaiMing
**      Date:   2012-11-02-20.07 星期五
**
*******************************************/


#include<iostream>
#include<string>
#include<cmath>
#include<iomanip>
using namespace std;
int main(){
   double a=0,b=0,c=0; //表示三角形的三条边a,b,c
   int count=0; //用于计数
   while(cin>>a>>b>>c){

      if(a==b&&b==c&&a==0) break; //全为0的时候退出
      cout<<"Triangle #"<<++count<<endl;

      if(a==-1){
        a=sqrt(c*c-b*b);
        if((c*c-b*b)<0) cout<<"Impossible."<<endl;
        else cout<<fixed<<setprecision(3)<<"a = "<<a<<endl;
      }
      else if(b==-1){
        b=sqrt(c*c-a*a);
        if((c*c-a*a)<0) cout<<"Impossible."<<endl;
        else cout<<fixed<<setprecision(3)<<"b = "<<b<<endl;
      }
      else{
        c=sqrt(a*a+b*b);
        cout<<fixed<<setprecision(3)<<"c = "<<c<<endl;
      }

      cout<<endl;
   }

   return 0;
}