Cod sursa(job #3335968)

Utilizator GliggyGligor Andrei Gliggy Data 23 ianuarie 2026 22:09:12
Problema Infasuratoare convexa Scor 90
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.91 kb
// Copilot-Addressed Rules:
// RULE: There shouldnt be any spaces in the code, except after commas.
// RULE: All variables in main should be declared globally, and can be used before they are defined.
// RULE: All open curly braces should be placed on the same line as the function or control structure they belong to, not on the line after.
#include <bits/stdc++.h>

using namespace std;
ifstream fin("infasuratoare.in");   //strudel
ofstream fout("infasuratoare.out"); //infasuratoare
long long x,y,n,i,inf=1e9,j;
double vx=1e10,vy=1e10;
struct pct{
    double x,y;
    double p,d;
    long long cad;
};
pct a[120010];
stack<long long> s,st;
long long cad(double x, double y){
    if(x>=0) return 1;
    return 2;
}
bool cmp(pct a, pct b){
    return a.cad<b.cad ||
           a.cad==b.cad && a.p<b.p ||
           a.cad==b.cad && a.p==b.p && a.d>b.d;
}
double det(long long x, long long y, long long z){
    return a[x].x*(a[y].y-a[z].y)+a[x].y*(a[z].x-a[y].x)+a[y].x*a[z].y-a[z].x*a[y].y;
}
int main()
{
    fin>>n;
    for(i=1;i<=n;i++){
        fin>>a[i].x>>a[i].y;
        if(vy>a[i].y||vy==a[i].y&&vx>a[i].x) vx=a[i].x,vy=a[i].y;
    }
    for(i=1;i<=n;i++){
        a[i].x-=vx,a[i].y-=vy;
        if(a[i].x==0&&a[i].y==0) a[i].cad=-1,a[i].p=-1;
        else{
            a[i].cad=cad(a[i].x,a[i].y);
            a[i].d=pow(1.0*a[i].x,2)+pow(1.0*a[i].y,2);
            a[i].p=(a[i].x==0?inf:1.0*a[i].y/a[i].x);
        }
        
    }
    sort(a+1,a+n+1,cmp);
    s.push(1);
    s.push(2);
    for(i=3;i<=n;i++){
        x=s.top(),s.pop();
        y=s.top();
        while(det(y,x,i)<=0){
            x=y,s.pop(),y=s.top();
            i=i;
        }
        s.push(x),s.push(i);
    }
    fout<<s.size()<<'\n';
    while(!s.empty()) st.push(s.top()),s.pop();
    while(!st.empty()) fout<<fixed<<setprecision(6)<<a[st.top()].x+vx<<' '<<a[st.top()].y+vy<<'\n', st.pop();
    return 0;
}