mirror of
https://github.com/Kiritow/OJ-Problems-Source.git
synced 2024-03-22 13:11:29 +08:00
85 lines
1.6 KiB
C++
85 lines
1.6 KiB
C++
#include<cstdio>
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#include<cmath>
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#include<algorithm>
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using namespace std;
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struct node
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{
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int x,y;
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}a[110],stack1[110];
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double distan(node a,node b)
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{
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return (double)sqrt((a.x-b.x)*(a.x-b.x)*1.0+(a.y-b.y)*(a.y-b.y)*1.0);
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}
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double across(node a,node n1,node n2)
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{
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return (n1.x-a.x)*(n2.y-a.y) - (n1.y-a.y)*(n2.x-a.x);
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}
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bool cmp(node a1,node b1)
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{
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double k=across(a[0],a1,b1);
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if(k>0) return true;
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else if (k==0&&distan(a[0],a1)<distan(a[0],b1))
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{
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return true;
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}
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else return false;
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}
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void anglesort(int n)
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{
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int i,k=0;
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node temp;
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for(i=1;i<n;i++)
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{
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if(a[i].y<a[k].y||(a[i].y==a[k].y&&a[i].x<a[k].x))
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k=i;
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}
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temp=a[0];
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a[0]=a[k];
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a[k]=temp;
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sort(a+1,a+n,cmp);
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}
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void Graham(int n)
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{
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anglesort(n);
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int i,head;
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double sum=0;
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a[n]=a[0];
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stack1[0]=a[0];
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stack1[1]=a[1];
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stack1[2]=a[2];
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head=2;
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for(i=3;i<=n;i++)
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{
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while(head>=2 && (across(stack1[head-1],stack1[head],a[i])<=0)) head--;
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stack1[++head]=a[i];
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}
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for(i=0;i<head;i++)
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{
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sum+=distan(stack1[i],stack1[i+1]);
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}
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printf("%.2lf\n",sum);
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}
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int main()
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{
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int i,n;
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while(scanf("%d",&n),n)
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{
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for(i=0;i<n;i++)
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{
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scanf("%d%d",&a[i].x,&a[i].y);
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}
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if(n==1)
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{
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printf("0.00\n");
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continue;
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}
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if(n==2)
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{
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printf("%.2lf\n",distan(a[0],a[1]));
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continue;
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}
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Graham(n);
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}
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return 0;
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}
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