题目大意:建立围墙将城堡围起来,要求围墙至少距离城堡L,拐角处用圆弧取代,求围墙的长度。
题目思路:围墙长度=凸包周长+(2*PI*L),另外不知道为什么C++poj会RE,G++就没问题。
#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<iostream>
#include<algorithm>
#include<cstring>
#include<vector>
#include<queue>
#define INF 0x3f3f3f3f
#define MAX 100005
#define PI acos(-1)
using namespace std; struct node
{
int x,y;
}point[MAX]; int Stuck[MAX],n,l,top; bool cmp(struct node A,struct node B)
{
if(A.y < B.y)
return true;
if(A.y==B.y && A.x<B.x)
return true;
return false;
} int Cross(int x1,int y1,int x2,int y2,int x3,int y3)
{
return (x1-x2)*(y1-y3)-(x1-x3)*(y1-y2);
} void Graham()
{
memset(Stuck,,sizeof(Stuck));
Stuck[]=;
Stuck[]=;
top=;
for(int i=;i<n;i++)
{
while(top> && Cross(point[Stuck[top]].x,point[Stuck[top]].y,point[Stuck[top-]].x,point[Stuck[top-]].y,point[i].x,point[i].y)<=)
top--;
Stuck[++top]=i;
}
int len=top;
Stuck[++top]=n-;
for(int i=n-;i>=;i--)
{
while(top!=len && Cross(point[Stuck[top]].x,point[Stuck[top]].y,point[Stuck[top-]].x,point[Stuck[top-]].y,point[i].x,point[i].y)<=)
top--;
Stuck[++top]=i;
}
} double Dist(int pos1,int pos2)
{
return sqrt((point[pos1].x-point[pos2].x)*(point[pos1].x-point[pos2].x)*1.0+(point[pos1].y-point[pos2].y)*(point[pos1].y-point[pos2].y));
} int main()
{
int k;
while(scanf("%d%d",&n,&l)!=EOF)
{
k=;
for(int i=;i<n;i++)
{
scanf("%d%d",&point[i].x,&point[i].y);
if(point[k].y > point[i].y || (point[k].x>point[i].x && point[k].y==point[i].y))
k=i;
}
swap(point[],point[k]);
sort(point+,point+n,cmp);
Graham();
double sum=;
sum+=Dist(Stuck[],Stuck[top])+*PI*l;
for(int i=;i<=top;i++)
sum+=Dist(Stuck[i],Stuck[i-]);
int ans=(int)(sum+0.5);
printf("%d\n",ans);
}
return ;
}