Cod sursa(job #2140170)

Utilizator markyDaniel marky Data 23 februarie 2018 02:18:07
Problema Infasuratoare convexa Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 2.02 kb
#include <stack>
#include <iomanip>
#include <fstream>
#include <cstdlib>

using namespace std;

ifstream f("infasuratoare.in");
ofstream g("infasuratoare.out");

const int nmax = 120005;

struct Point{
double x,y;
}points[nmax];

Point p0;

Point nextToTop(stack<Point> &S){
Point p = S.top();
S.pop();
Point res = S.top();
S.push(p);

return res;
}

void Swap(Point &p1, Point &p2){
Point aux = p1;
p1 = p2;
p2 = aux;
}

double distSq(Point p1, Point p2){
return (p1.x - p2.x)*(p1.x - p2.x) + (p1.y-p2.y)*(p1.y-p2.y);
}

int orientation(Point p, Point q, Point r){
double val = (q.y - p.y)*(r.x - q.x) - (q.x - p.x)*(r.y - q.y);

if(val == 0)return 0;

return (val > 0) ? 1 : 2;
}

int compare(const void *vp1, const void *vp2){
Point *p1 = (Point *)vp1;
Point *p2 = (Point *)vp2;

int o = orientation(p0, *p1, *p2);

if(o == 0)
    return (distSq(p0,*p2) >= distSq(p0,*p1)) ? -1 : 1;

return (o == 2) ? -1 : 1;
}

void printStack(stack<Point> &S){
Point p = S.top();
S.pop();
if(!S.empty())printStack(S);
g<<setprecision(6)<<fixed<<p.x<<" "<<p.y<<'\n';
}

void Graham(int n, Point points[]){
double ymin = points[0].y;
int min = 0;

for(int i=1;i<n;++i)
{
    int y = points[i].y;
    if((y < ymin) || (y == ymin && points[i].x < points[min].x)){
        min = i;
        ymin = y;
    }
}

Swap(points[0], points[min]);

p0 = points[0];

qsort(&points[1], n-1, sizeof (Point), compare);

int m = 1;
for(int i=1;i<n;++i){
    while(i < n-1 && orientation(p0, points[i], points[i+1]) == 0)
        ++i;

    points[m] = points[i];
    ++m;
}

if(m<3){g<<"IMPOSIBIL\n"; return;}

stack<Point> S;
S.push(points[0]);
S.push(points[1]);
S.push(points[2]);

for(int i = 3; i < n; ++i)
{
    while(orientation(nextToTop(S),S.top(),points[i]) != 2)
        S.pop();

    S.push(points[i]);
}

g<<S.size()<<'\n';

printStack(S);

}

int main(){

int n;
f>>n;

for(int i=0;i<n;++i)
    f>>points[i].x>>points[i].y;

    Graham(n,points);

return 0;
}