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 <cmath>
#include <vector>
struct Point {
int x;
int y;
};
int main() {
std::vector<Point> bundle;
int N;
int R;
scanf(" %d %d", &N, &R);
for (int i = 0; i < N; ++i) {
int x;
int y;
scanf(" %d %d", &x, &y);
Point p;
p.x = x;
p.y = y;
bundle.push_back(p);
}
if (N == 2) {
double dis = sqrt((bundle[0].x - bundle[1].x) * (bundle[0].x - bundle[1].x) +
(bundle[0].y - bundle[1].y) * (bundle[0].y - bundle[1].y));
printf("%lf", 2 * dis + 2 * 3.14159265359 * R);
}
else {
// 1사분면
Point one = bundle[0];
Point two = bundle[0];
Point three = bundle[0];
Point four = bundle[0];
for (int i = 0; i < N; ++i) {
if (bundle[i].x > one.x || bundle[i].y > one.y) {
one = bundle[i];
}
}
for (int i = 0; i < N; ++i) {
if (bundle[i].x < two.x || bundle[i].y > two.y) {
two = bundle[i];
}
}
for (int i = 0; i < N; ++i) {
if (bundle[i].x < three.x || bundle[i].y < three.y) {
three = bundle[i];
}
}
for (int i = 0; i < N; ++i) {
if (bundle[i].x > four.x || bundle[i].y < four.y) {
four = bundle[i];
}
}
long double dis = sqrt((one.x - two.x) * (one.x - two.x) +
(one.y - two.y) * (one.y - two.y));
dis += sqrt((three.x - two.x) * (three.x - two.x) +
(three.y - two.y) * (three.y - two.y));
dis += sqrt((three.x - four.x) * (three.x - four.x) +
(three.y - four.y) * (three.y - four.y));
dis += sqrt((one.x - four.x) * (one.x - four.x) +
(one.y - four.y) * (one.y - four.y));
printf("%.12Lf", dis + 2 * 3.14159265359 * R);
}
}
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