This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <cstdio>
#include <vector>
#include <algorithm>
#include <cmath>
using namespace std;
typedef pair<int,int> pi;
vector<pi> v;
pi a[1005];
bool ccw(pi a, pi b, pi c){
int dx1 = b.first - a.first;
int dy1 = b.second - a.second;
int dx2 = c.first - a.first;
int dy2 = c.second - a.second;
if(dx1 * dy2 == dy1 * dx2) return 0;
else return 2 * (dx1 * dy2 > dy1 * dx2) - 1;
}
bool cmp(pi p, pi q){
int t = ccw(a[0],p,q);
if(t == 1) return 1;
else if(t == 0) return hypot(a[0].first - p.first,a[0].second - p.second) < hypot(a[0].first - q.first,a[0].second - q.second);
return 0;
}
int n,r;
int main(){
scanf("%d %d",&n,&r);
for (int i=0; i<n; i++) {
scanf("%d %d",&a[i].first,&a[i].second);
}
swap(a[0],*min_element(a,a+n));
sort(a+1,a+n,cmp);
int p = n-1;
while (p > 0 && ccw(a[0],a[n-1],a[p-1]) == 0) {
p--;
}
reverse(a+p,a+n);
v.push_back(a[0]);
for (int i=1; i<n; i++) {
while (v.size() >= 2 && !ccw(v[v.size()-2],v.back(),a[i])) {
v.pop_back();
}
v.push_back(a[i]);
}
double ret = 4 * asin(1) * r;
for (int i=0; i<v.size(); i++) {
ret += hypot(a[(i+1)%v.size()].first - a[i].first,a[(i+1)%v.size()].second - a[i].second);
}
printf("%.12lf",ret);
}
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