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  • 线段相交 poj 1066

      1 // 线段相交 poj 1066
      2 // 思路:直接枚举每个端点和终点连成线段,判断和剩下的线段相交个数
      3 
      4 // #include <bits/stdc++.h>
      5 #include <iostream>
      6 #include <cstdio>
      7 #include <cstdlib>
      8 #include <algorithm>
      9 #include <vector>
     10 #include <math.h>
     11 using namespace std;
     12 #define LL long long
     13 typedef pair<int,int> pii;
     14 const int inf = 0x3f3f3f3f;
     15 const LL MOD =100000000LL;
     16 const int N =110;
     17 #define clc(a,b) memset(a,b,sizeof(a))
     18 const double eps = 1e-8;
     19 void fre() {freopen("in.txt","r",stdin);}
     20 void freout() {freopen("out.txt","w",stdout);}
     21 inline int read() {int x=0,f=1;char ch=getchar();while(ch>'9'||ch<'0') {if(ch=='-') f=-1; ch=getchar();}while(ch>='0'&&ch<='9') {x=x*10+ch-'0';ch=getchar();}return x*f;}
     22 
     23 int sgn(double x){
     24     if(fabs(x) < eps)return 0;
     25     if(x < 0)return -1;
     26     else return 1;
     27 }
     28 struct Point{
     29     double x,y;
     30     Point(){}
     31     Point(double _x,double _y){
     32         x = _x;y = _y;
     33     }
     34     Point operator -(const Point &b)const{
     35         return Point(x - b.x,y - b.y);
     36     }
     37     double operator ^(const Point &b)const{
     38         return x*b.y - y*b.x;
     39     }
     40     double operator *(const Point &b)const{
     41         return x*b.x + y*b.y;
     42     }
     43 };
     44 
     45 struct Line{
     46     Point s,e;
     47     int inx;
     48     Line(){}
     49     Line(Point _s,Point _e){
     50         s=_s;e=_e;
     51     }
     52 };
     53 
     54 Line line[N];
     55 bool inter(Line l1,Line l2){
     56     return 
     57         max(l1.s.x,l1.e.x) >= min(l2.s.x,l2.e.x) &&
     58         max(l2.s.x,l2.e.x) >= min(l1.s.x,l1.e.x) &&
     59         max(l1.s.y,l1.e.y) >= min(l2.s.y,l2.e.y) &&
     60         max(l2.s.y,l2.e.y) >= min(l1.s.y,l1.e.y) &&
     61         sgn((l2.s-l1.s)^(l1.e-l1.s))*sgn((l2.e-l1.s)^(l1.e-l1.s)) <= 0 &&
     62         sgn((l1.s-l2.s)^(l2.e-l2.s))*sgn((l1.e-l2.s)^(l2.e-l2.s)) <= 0;
     63 }
     64 
     65 vector<Line> list;
     66 bool cmp(Line l1,Line l2){
     67     return l1.inx<l2.inx;
     68 }
     69 
     70 Point p[110];
     71 int main(){
     72     int n;
     73     while(~scanf("%d",&n)){
     74     for(int i=1;i<=n;i++){
     75         double x1,y1,x2,y2;
     76         scanf("%lf%lf%lf%lf",&x1,&y1,&x2,&y2);
     77         line[i]=Line(Point(x1,y1),Point(x2,y2));
     78         p[i*2-1]=Point(x1,y1);
     79         p[i*2]=Point(x2,y2);
     80     }
     81     double x1,y1;
     82     scanf("%lf%lf",&x1,&y1);
     83     Point s=Point(x1,y1);
     84     int ans=inf;
     85     for(int i=1;i<=2*n;i++){
     86        int tem=0;
     87        for(int j=1;j<=n;j++){
     88           if(inter(Line(s,p[i]),line[j]))
     89             tem++;
     90        }
     91        ans=min(ans,tem);
     92     }
     93     
     94     Point p1;
     95     p1=Point(0,0);
     96     int tem=0;
     97     for(int i=1;i<=n;i++){
     98         if(inter(Line(s,p1),line[i]))
     99           tem++;
    100     }
    101     ans=min(ans,tem+1);
    102     
    103     p1=Point(0,100);
    104     tem=0;
    105     for(int i=1;i<=n;i++){
    106         if(inter(Line(s,p1),line[i]))
    107           tem++;
    108     }
    109     ans=min(ans,tem+1);
    110 
    111     p1=Point(100,0);
    112      tem=0;
    113     for(int i=1;i<=n;i++){
    114         if(inter(Line(s,p1),line[i]))
    115           tem++;
    116     }
    117     ans=min(ans,tem+1);
    118 
    119     p1=Point(100,100);
    120     tem=0;
    121     for(int i=1;i<=n;i++){
    122         if(inter(Line(s,p1),line[i]))
    123           tem++;
    124     }
    125     ans=min(ans,tem+1);
    126     printf("Number of doors = ");
    127     printf("%d
    ",ans);
    128     }
    129     return 0;
    130 }
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  • 原文地址:https://www.cnblogs.com/ITUPC/p/5856830.html
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