Monday, 6 August 2012

UVa 11579 - Triangle Trouble Solution

#include<iostream>
#include<list>
#include<string>
#include<cstring>
#include<sstream>
#include<cctype>
#include<string.h>
#include<algorithm>
#include<cmath>
#include<stack>
#include<fstream>
#include<cstdlib>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
#include<queue>

using namespace std;

#define INF (1<<29)
#define SET(a) memset(a,-1,sizeof(a))
#define ALL(a) a.begin(),a.end()
#define CLR(a) memset(a,0,sizeof(a))
#define FILL(a,v) memset(a,v,sizeof(a))
#define PB push_back
#define FOR(i,n) for(int i = 0;i<n;i++)
#define PI acos(-1.0)
#define EPS 1e-9
#define MP(a,b) make_pair(a,b)
#define min3(a,b,c) min(a,min(b,c))
#define max3(a,b,c) max(a,max(b,c))
#define READ freopen("input.txt", "r", stdin)
#define WRITE freopen("output.txt", "w", stdout)
#define LL long long
#define MX 1000010
#define MOD 1000000007


double func(double a, double b, double c)
{
    if(a+b<c || b+c<a || c+a<b) return 0;
    double s=(a+b+c)/2;
    double area=sqrt(s*(s-a)*(s-b)*(s-c));
    return area;
}

main()
{
    int t,n;
    double side[10010];
    cin>>t;
    while(t--)
    {
        cin>>n;
        for(int i=0;i<n;i++)
            cin>>side[i];

        sort(side,side+n);

        double mx=0.0;
        for(int i=n-1;i>1;i--)
            mx=max(mx,func(side[i],side[i-1],side[i-2]));

        cout<<setprecision(2)<<fixed<<mx<<endl;
    }
}

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