Cod sursa(job #2161913)

Utilizator GabiTulbaGabi Tulba-Lecu GabiTulba Data 11 martie 2018 21:57:17
Problema Rubarba Scor 100
Compilator cpp Status done
Runda Arhiva de probleme Marime 1.08 kb
#include <bits/stdc++.h>

#define MaxN 100005
#define INF 2140000000
#define MOD 1000000007
#define eps 1e-17
#define pi 1.5707963267948966192313216916398

using namespace std;

ifstream in("rubarba.in");
ofstream out("rubarba.out");
//FILE *IN=fopen("rubarba.in","r"),*OUT=fopen("rubarba.out","w");

int N;
pair<long double,long double>v[MaxN];
long double calc(long double angle)
{
    long double MaxX=-INF,MaxY=-INF,MinX=INF,MinY=INF,s=sin(angle),c=cos(angle);
    for(int i=1;i<=N;i++)
    {
        long double x=v[i].first*c-v[i].second*s;
        long double y=v[i].first*s+v[i].second*c;
        MinX=min(x,MinX);
        MinY=min(y,MinY);
        MaxX=max(x,MaxX);
        MaxY=max(y,MaxY);
    }
    return (MaxX-MinX)*(MaxY-MinY);
}
int main()
{
    in>>N;
    for(int i=1;i<=N;i++)
    in>>v[i].first>>v[i].second;

    long double lw=0,hi=pi,mid;
    while(hi-lw>eps)
    {
        mid=lw+(hi-lw)/2;
        if(calc(mid)>calc(mid+eps))
            lw=mid;
        else hi=mid;
    }
    out<<fixed<<setprecision(2)<<calc(mid);
    return 0;
}