Light OJ 1056

#include<bits/stdc++.h>
using namespace std;

typedef long long int           ll;
typedef unsigned long long int  ull;
typedef vector<int>             vi;
typedef vector<vi>              vvi;
typedef pair<int,int>           pii;
typedef vector< pii >           vii;
typedef set<int>                st;

#define pb                      push_back
#define pob                     pop_back
#define mp                      make_pair
#define ff                      first
#define ss                      second
#define loop1(i,n)              for(int i=1; i<=int(n); i++)
#define loop(i,y)               for(int i=0; i<int(y); i++)
#define read()                  freopen("input.txt", "r", stdin)
#define write()                 freopen("output.txt", "w", stdout)
#define cspf(i)                 printf("Case %d: ", i)
/// Constants
#define eps                     1e-9
#define PI                      acos(-1.0)  // 3.1415926535897932

int main()
{
    int n,i;
    scanf("%d",&n);
    loop1(i,n){
        double w,l,r,s,angle,hi,lo,mid,length;
        scanf("%lf : %lf",&l,&w);
        cspf(i);
        r=(sqrt(w*w+l*l))/2.0;
        angle=acos((2*r*r-w*w)/2*r*r);
        int k=60;
        hi=400;
        lo=0;
        while(k--){
            mid=(lo+hi)/2;
            r=mid;
            s=r*angle;
            l=400-(2*angle);
            w=sqrt(2*r*r-2*r*r*cos(angle));
            length=2*s+2*l;
            if(length<400)
                hi=mid;
            else
                lo=mid;
        }
        printf("%lf %lf\n",l,w);
    }
    return 0;
}