UVa 11152 - Colourful Flowers

//\\__ hr1212 __//\\

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef vector<int> vi;
typedef pair<int,int> pii;
typedef map<int,int> mi;

#define si(a) scanf("%d",&a)
#define sii(a,b) scanf("%d %d",&a,&b)
#define siii(a,b,c) scanf("%d %d %d",&a,&b,&c)
#define pi(a) printf("%d\n",a)
#define nl printf("\n");
#define pb push_back
#define mp make_pair
#define all(c) (c).begin(),(c).end()
#define f(i,a,b) for(i=a;i<b;i++)
#define rf(i,a,b) for(i=a;i>=b;i--)
#define clr(x,a) memset(x,a,sizeof(x))
#define MAX 1000100
#define MOD 1000000007

int n,m;

int main(){
    int a,b,r,k,i,c=0,x=0,y=0,j,t,l,z,x1=0,y1=0;
    ll ans=0;
    double r1,r2,a1,a2,a3,s;

    while(cin>>a>>b>>c){
        s=(a+b+c)/2.0;
        a2=sqrt(s*(s-a)*(s-b)*(s-c));
        r2=a2/s;
        a3=M_PI*r2*r2;
        r1=(a*b*c)/(4*a2);
        a1=M_PI*r1*r1;
        printf("%.4lf %.4lf %.4lf\n",a1-a2,a2-a3,a3);
    }

    return 0;
}