经典算法,百度上都能找到。
就说一个特殊情况,只有两个点的时候,要进行特判,直接输出两点距离,否则会输出两倍。
当然我认为就是应该输出两倍的,可是题目这样也没办法。
#include<stdio.h>
#include<string.h>
#include<algorithm>
#include<vector>
#include<queue>
#include<math.h>
#include<stack>
using namespace std;
int main()
{
// freopen("t.txt","r",stdin);
int i,j,n,x[105],y[105],x0,y0,x1,y1,temp,a,b;
double ans;
while(~scanf("%d",&n) && n)
{
ans = 0;
for(i = 0; i < n; i++)
{
scanf("%d%d",&x[i],&y[i]);
}
y0 = 1<<30;
if(n == 2)
{
printf("%.2lf\n",sqrt((x[1]-x[0])*(x[1]-x[0])*1.0 + (y[1]-y[0])*(y[1]-y[0])));
continue;
}
for(i = 0; i < n; i++)
{
if(y0 >= y[i])
{
if(y0 > y[i])
{
a = y0 = y[i];
b = x0 = x[i];
}
else if(x0 > x[i])
{
a = y0 = y[i];
b = x0 = x[i];
}
}
}
if(x0 != x[0] || y[0] != y0)
{
x1 = x[0]; y1 = y[0];
}
else
{
x1 = x[1]; y1 = y[1];
}
do
{
for(i = 0; i < n; i++)
{
temp = (x1 - x0)*(y[i]-y0) - (x[i]-x0)*(y1 - y0);
if(temp < 0)
{
x1 = x[i]; y1 = y[i];
}
}
ans += sqrt((x1-x0)*(x1-x0)*1.0 + (y1-y0)*(y1-y0));
x0 = x1; y0 = y1;
x1 = b; y1 = a;
}while(x0 != b || y0 != a);
ans += sqrt((b-x0)*(b-x0)*1.0 + (a-y0)*(a-y0));
printf("%.2lf\n",ans);
}
}