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  • poj 3304 找一条直线穿过所有线段

    题目链接:http://poj.org/problem?id=3304

    #include<cstdio>
    #include<cstring>
    #include<cmath>
    #include<iostream>
    #include<algorithm>
    #include<queue>
    using namespace std;
    const int maxn = 105;
    const int maxe = 20000;
    const int INF = 0x3f3f3f;
    const double eps = 1e-8;
    const double PI = acos(-1.0);
    
    struct Point{
        double x,y;
        Point(double x=0, double y=0) : x(x),y(y){ }    //构造函数
    };
    typedef Point Vector;
    
    Vector operator + (Vector A , Vector B){return Vector(A.x+B.x,A.y+B.y);}
    Vector operator - (Vector A , Vector B){return Vector(A.x-B.x,A.y-B.y);}
    Vector operator * (Vector A , double p){return Vector(A.x*p,A.y*p);}
    Vector operator / (Vector A , double p){return Vector(A.x/p,A.y/p);}
    
    bool operator < (const Point& a,const Point& b){
        return a.x < b.x ||( a.x == b.x && a.y < b.y);
    }
    int dcmp(double x){
        if(fabs(x) < eps) return 0;
        else              return x < 0 ? -1 : 1;
    }
    bool operator == (const Point& a, const Point& b){
        return dcmp(a.x - b.x) == 0 && dcmp(a.y - b.y) == 0;
    }
    
    double Dot(Vector A, Vector B){ return A.x*B.x + A.y*B.y; }
    double Cross(Vector A, Vector B)  { return A.x*B.y - A.y * B.x; }
    double Length(Vector A)    { return sqrt(Dot(A,A)); }
    
    bool SegmentLineIntersection(Point a1,Point a2,Point b1,Point b2){  //a1a2是直线,b1b2是线段;
        double c1 = Cross(a2-a1,b1-a1), c2 = Cross(a2-a1,b2-a1);
    
        return dcmp(c1) * dcmp(c2) < 0 || dcmp(c1) == 0 || dcmp(c2) == 0;
    }
    
    Point read_point(){
        Point A;
        scanf("%lf %lf",&A.x,&A.y);
        return A;
    }
    
    /******************************分割线*******************************/
    
    Point P[maxn][2];
    int n;
    
    int main()
    {
       //freopen("E:\acm\input.txt","r",stdin);
        int T;
        cin>>T;
        while(T--){
            cin>>n;
            for(int i=1;i<=n;i++){
                P[i][0] = read_point();
                P[i][1] = read_point();
            }
            bool ans = false;
            for(int i=1;i<n;i++)
              for(int k=0;k<=1;k++)
                for(int j=i+1;j<=n;j++)
                   for(int m=0;m<=1;m++){  //确定两个端点P[i][k]和P[j][m];接下来判断过这两点直线是否穿过所有线段;
                      if(P[i][k] == P[j][m])  continue;
                      int s;
                      for(s=1;s<=n;s++){
                          if(!SegmentLineIntersection(P[i][k],P[j][m],P[s][0],P[s][1])) break;
                      }
                      if(s == n+1) { ans = true;  goto print; }
                }
    
            print:
            if(ans || n==1)  printf("Yes!
    ");  //n == 1没考虑,WA了两次看discuss别人说的;
            else     printf("No!
    ");
        }
    }
    View Code
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  • 原文地址:https://www.cnblogs.com/acmdeweilai/p/3251930.html
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