This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma warning(disable:4996)
#include<stdio.h>
#include<math.h>
#include<algorithm>
#define PI 3.14159265359
using namespace std;
int n, R, st[1010], top, P[1010], cnt;
double Res;
struct point{
int x, y;
bool operator <(const point &p)const{
return x != p.x ? x < p.x : y < p.y;
}
}w[1010];
int ccw(point a, point b, point c){
return (b.x - a.x)*(c.y - a.y) - (b.y - a.y)*(c.x - a.x);
}
double dist(point a, point b){
return sqrt(1.0 * (b.x - a.x)*(b.x - a.x) + (b.y - a.y)*(b.y - a.y));
}
int main()
{
int i;
scanf("%d%d", &n, &R);
for (i = 0; i < n; i++){
scanf("%d%d", &w[i].x, &w[i].y);
}
sort(w, w + n);
st[++top] = 0;
for (i = 1; i < n; i++){
while (top > 1 && ccw(w[st[top - 1]], w[st[top]], w[i]) >= 0)top--;
st[++top] = i;
}
for (i = 1; i < top; i++)P[++cnt] = st[i];
top = 0;
st[++top] = 0;
for (i = 1; i < n; i++){
while (top > 1 && ccw(w[st[top - 1]], w[st[top]], w[i]) <= 0)top--;
st[++top] = i;
}
for (i = top; i >= 1; i--)P[++cnt] = st[i];
for (i = 1; i < cnt; i++){
Res += dist(w[P[i]], w[P[i + 1]]);
}
printf("%.10lf\n", Res + 2 * PI * R);
}
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