• poj2187凸包最远点对


    暴力过了

    #include<map>
    #include<set>
    #include<cmath>
    #include<queue>
    #include<stack>
    #include<vector>
    #include<cstdio>
    #include<cassert>
    #include<iomanip>
    #include<cstdlib>
    #include<cstring>
    #include<iostream>
    #include<algorithm>
    #define pi acos(-1.0)
    #define ll long long
    #define mod 1000000007
    #define ls l,m,rt<<1
    #define rs m+1,r,rt<<1|1
    #pragma comment(linker, "/STACK:1024000000,1024000000")
    
    using namespace std;
    
    const double g=10.0,eps=1e-7;
    const int N=50000+10,maxn=500+100,inf=0x3f3f3f;
    
    struct point{
        double x,y;
    };
    point p[N],s[N];
    int n;
    double dir(point p1,point p2,point p3)
    {
        return (p3.x-p1.x)*(p2.y-p1.y)-(p3.y-p1.y)*(p2.x-p1.x);
    }
    double dis(point p1,point p2)
    {
        return sqrt((p1.x-p2.x)*(p1.x-p2.x)+(p1.y-p2.y)*(p1.y-p2.y));
    }
    double powdis(point p1,point p2)
    {
        return (p1.x-p2.x)*(p1.x-p2.x)+(p1.y-p2.y)*(p1.y-p2.y);
    }
    bool comp(point p1,point p2)
    {
        double te=dir(p[0],p1,p2);
        if(te<0)return 1;
        if(te==0&&dis(p[0],p1)<dis(p[0],p2))return 1;
        return 0;
    }
    double Graham()
    {
        int pos;
        double minx,miny;
        minx=miny=inf;
        for(int i=0;i<n;i++)
        {
            if(p[i].x<minx||(p[i].x==minx&&p[i].y<miny))
            {
                minx=p[i].x;
                miny=p[i].y;
                pos=i;
            }
        }
        swap(p[0],p[pos]);
        sort(p+1,p+n,comp);
        int top=2;
        p[n]=p[0];
        s[0]=p[0],s[1]=p[1],s[2]=p[2];
        for(int i=3;i<=n;i++)
        {
            while(top>=2&&dir(s[top-1],s[top],p[i])>0)top--;
            s[++top]=p[i];
        }
      /*  for(int i=0;i<top;i++)
            cout<<s[i].x<<" "<<s[i].y<<endl;*/
        double ans=0;
        for(int i=0;i<top;i++)
        {
            for(int j=i+1;j<top;j++)
            {
                ans=max(ans,powdis(s[i],s[j]));
            }
        }
        return ans;
    }
    int main()
    {
      /*  ios::sync_with_stdio(false);
        cin.tie(0);*/
        while(~scanf("%d",&n)){
            for(int i=0;i<n;i++)
                scanf("%lf%lf",&p[i].x,&p[i].y);
            printf("%.0f
    ",Graham());
        }
        return 0;
    }
    暴力枚举

    但是旋转卡壳死活过不了,

    10
    0 0
    10000 0
    1 100
    2 199
    9999 100
    9998 199
    100 -900
    200 -1799
    9800 -1799
    9900 -900
    这组数据过不了,
    #include<map>
    #include<set>
    #include<cmath>
    #include<queue>
    #include<stack>
    #include<vector>
    #include<cstdio>
    #include<cassert>
    #include<iomanip>
    #include<cstdlib>
    #include<cstring>
    #include<iostream>
    #include<algorithm>
    #define pi acos(-1.0)
    #define ll long long
    #define mod 1000000007
    #define ls l,m,rt<<1
    #define rs m+1,r,rt<<1|1
    #pragma comment(linker, "/STACK:1024000000,1024000000")
    
    using namespace std;
    
    const double g=10.0,eps=1e-7;
    const int N=50000+10,maxn=500+100,inf=0x3f3f3f;
    
    struct point{
        double x,y;
    };
    point p[N],s[N];
    int n;
    double dir(point p1,point p2,point p3)
    {
        return (p3.x-p1.x)*(p2.y-p1.y)-(p3.y-p1.y)*(p2.x-p1.x);
    }
    double dis(point p1,point p2)
    {
        return sqrt((p1.x-p2.x)*(p1.x-p2.x)+(p1.y-p2.y)*(p1.y-p2.y));
    }
    double powdis(point p1,point p2)
    {
        return (p1.x-p2.x)*(p1.x-p2.x)+(p1.y-p2.y)*(p1.y-p2.y);
    }
    bool comp(point p1,point p2)
    {
        double te=dir(p[0],p1,p2);
        if(te<0)return 1;
        if(te==0&&dis(p[0],p1)<dis(p[0],p2))return 1;
        return 0;
    }
    double Graham()
    {
        int pos;
        double minx,miny;
        minx=miny=inf;
        for(int i=0;i<n;i++)
        {
            if(p[i].x<minx||(p[i].x==minx&&p[i].y<miny))
            {
                minx=p[i].x;
                miny=p[i].y;
                pos=i;
            }
        }
        swap(p[0],p[pos]);
        sort(p+1,p+n,comp);
        int top=2;
        p[n]=p[0];
        s[0]=p[0],s[1]=p[1],s[2]=p[2];
        for(int i=3;i<=n;i++)
        {
            while(top>=2&&dir(s[top-1],s[top],p[i])>0)top--;
            s[++top]=p[i];
        }
      /*  for(int i=0;i<top;i++)
            cout<<s[i].x<<" "<<s[i].y<<endl;*/
        //Rotating Calipers
        double ans=0;
        int resx=0,resy=0;
        for(int i=0;i<top;i++)
        {
            if(s[i].x==s[0].x)resx++;
            if(s[i].y==s[0].y)resy++;
        }
        if(resx==top||resy==top)return powdis(s[0],s[top-1]);
        if(top==2)ans=powdis(s[0],s[1]);
        else
        {
            int j=2;
            for(int i=0;i<top;i++)
            {
                while(dir(s[i],s[i+1],s[j+1])>=dir(s[i],s[i+1],s[j]))
                    j=(j+1)%top;
               //     cout<<endl;
              //  cout<<i<<" "<<j<<endl;
            //    cout<<powdis(s[i],s[j])<<" "<<powdis(s[i],s[j+1])<<endl;
                ans=max(ans,max(powdis(s[j],s[i]),powdis(s[j+1],s[i])));
            }
        }
        return ans;
    }
    int main()
    {
      /*  ios::sync_with_stdio(false);
        cin.tie(0);*/
        while(~scanf("%d",&n)){
            for(int i=0;i<n;i++)
                scanf("%lf%lf",&p[i].x,&p[i].y);
            printf("%.0f
    ",Graham());
        }
        return 0;
    }
    /*
    4
    0 0
    0 1
    1 1
    1 0
    */
    rc
    不知道哪里出错了,希望有路过的大神帮忙改改错
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  • 原文地址:https://www.cnblogs.com/acjiumeng/p/7195242.html
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