Cod sursa(job #2839114)

Utilizator alexdumitruAlexandru Dumitru alexdumitru Data 25 ianuarie 2022 12:27:03
Problema Infasuratoare convexa Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.06 kb
#include <bits/stdc++.h>
using namespace std;
struct pct{
double x,y;};
ifstream fin("infasuratoare.in");
ofstream fout("infasuratoare.out");
int n;
int k;
int st[120005];
bool in[120005];
pct a[120005];

double det(pct a, pct b, pct c)
{
    return (double) a.x*b.y+a.y*c.x+b.x*c.y-b.y*c.x-c.y*a.x-a.y*b.x;
}
void infs()
{
    st[1]=1;st[2]=2;k=2;in[2]=1;
    for(int i=3;i<=n;i++)
    {
        while(k>=2&&det(a[st[k-1]],a[st[k]],a[i])>=0)
            in[st[k--]]=0;
        st[++k]=i;
        in[i]=1;
    }
    for(int i=n;i>=1;i--)
    {
        if(in[i])continue;
        while(k>=2&&det(a[st[k-1]],a[st[k]],a[i])>=0)
            in[st[k--]]=0;
        st[++k]=i;
        in[i]=1;
    }
}
bool cmp(pct a, pct b)
{
    if(a.x!=b.x)return a.x<b.x;
    return a.y<b.y;
}
int main()
{
    fin>>n;
    for(int i=1;i<=n;i++)
        fin>>a[i].x>>a[i].y;
    sort(a+1,a+n+1,cmp);
    infs();
    fout<<k-1<<'\n';
    for(int i=k-1;i>=1;i--)
        fout<<setprecision(6)<<fixed<<a[st[i]].x<<' '<<a[st[i]].y<<'\n';
    return 0;
}