zoukankan      html  css  js  c++  java
  • POJ 3304 segments 线段和直线相交

    Segments
    Time Limit: 1000MS   Memory Limit: 65536K
    Total Submissions: 14178   Accepted: 4521

    Description

    Given n segments in the two dimensional space, write a program, which determines if there exists a line such that after projecting these segments on it, all projected segments have at least one point in common.

    Input

    Input begins with a number T showing the number of test cases and then, T test cases follow. Each test case begins with a line containing a positive integern ≤ 100 showing the number of segments. After that, n lines containing four real numbers x1 y1 x2 y2 follow, in which (x1y1) and (x2y2) are the coordinates of the two endpoints for one of the segments.

    Output

    For each test case, your program must output "Yes!", if a line with desired property exists and must output "No!" otherwise. You must assume that two floating point numbers a and b are equal if |a - b| < 10-8.

    Sample Input

    3
    2
    1.0 2.0 3.0 4.0
    4.0 5.0 6.0 7.0
    3
    0.0 0.0 0.0 1.0
    0.0 1.0 0.0 2.0
    1.0 1.0 2.0 1.0
    3
    0.0 0.0 0.0 1.0
    0.0 2.0 0.0 3.0
    1.0 1.0 2.0 1.0

    Sample Output

    Yes!
    Yes!
    No!

    Source

    #include<iostream>
    #include<cstdio>
    #include<cmath>
    #include<cstring>
    #include<sstream>
    #include<algorithm>
    #include<queue>
    #include<deque>
    #include<iomanip>
    #include<vector>
    #include<cmath>
    #include<map>
    #include<stack>
    #include<set>
    #include<fstream>
    #include<memory>
    #include<list>
    #include<string>
    using namespace std;
    typedef long long LL;
    typedef unsigned long long ULL;
    #define MAXN 103
    #define N 21
    #define MOD 1000000
    #define INF 1000000009
    const double eps = 1e-8;
    const double PI = acos(-1.0);
    /*
    所有线段投射到给定线段上取交集,如果交集距离大于eps 存在!s
    */
    int sgn(double x)
    {
        if (fabs(x) < eps) return 0;
        if (x < 0) return -1;
        else return 1;
    }
    struct Point
    {
        double x, y;
        Point() {}
        Point(double _x, double _y) :x(_x), y(_y) {}
        Point operator - (const Point& r)const
        {
            return Point(x - r.x, y - r.y);
        }
        double operator ^(const Point& r)const
        {
            return x*r.y - y*r.x;
        }
        double operator * (const Point& r)const
        {
            return x*r.x + y*r.y;
        }
    };
    double dist(Point a, Point b)
    {
        return sqrt((a - b)*(a - b));
    }
    struct Line
    {
        Point s, e;
        Line() {}
        Line(Point _a, Point _B) :s(_a), e(_B) {}
    };
    vector<Line> v;
    bool Seg_inter_line(Line l1, Line l2)
    {
        return sgn((l2.s - l1.e) ^ (l1.s - l1.e))*sgn((l2.e - l1.e) ^ (l1.s - l1.e)) <= 0;
    }
    bool check(Line l)
    {
        if (sgn(dist(l.s, l.e)) == 0)
            return false;
        for (int i = 0; i < v.size(); i++)
            if (!Seg_inter_line(l, v[i]))
                return false;
        return true;
    }
    int main()
    {
        int T, n;
        scanf("%d", &T);
        while (T--)
        {
            v.clear();
            double x1, y1, x2, y2;
            scanf("%d", &n);
            for (int i = 0; i < n; i++)
            {
                scanf("%lf%lf%lf%lf", &x1, &y1, &x2, &y2);
                v.push_back(Line(Point(x1, y1), Point(x2, y2)));
            }
            bool f = false;
            for (int i = 0; i < n; i++)
            {
                for (int j = 0; j < n; j++)
                {
                    if (check(Line(v[i].s, v[j].s)) || check(Line(v[i].s, v[j].e))
                        || check(Line(v[i].e, v[j].s)) || check(Line(v[i].e, v[j].e)))
                    {
                        f = true;
                        break;
                    }
                }
            }
            if (f)
                printf("Yes!
    ");
            else
                printf("No!
    ");
        }
        return 0;
    }
  • 相关阅读:
    php 程序执行时间检测
    Mybatis里@InsertProvider、@UpdateProvider方法里使用if test标签
    windows配置JAVA环境变量
    谈谈2021,以及未来的几年
    jupyterlab内终端的改变
    RuntimeError: CUDA error: device-side assert triggered的解决
    Jupyter notebook添加内核的正确姿势
    Windows上两个host文件的位置
    Linux cp 命令仅复制文件
    Pytorch显卡设置
  • 原文地址:https://www.cnblogs.com/joeylee97/p/6925869.html
Copyright © 2011-2022 走看看