Description Once upon a time there was a greedy King who ordered his chief Architect to build a wall around the King's castle. The King was so greedy, that he would not listen to his Architect's proposals to build a beautiful brick wall with a perfec…
题目链接 /* Name:nyoj-78-圈水池 Copyright: Author: Date: 2018/4/27 9:52:48 Description: Graham求凸包 zyj大佬的模板,改个输出就能用 */ #include <cstring> #include <iostream> #include <cstdio> #include <algorithm> using namespace std; struct point{ double…
水平序 Graham 扫描算法: 计算二维凸包的时候可以用到,Graham 扫描算法有水平序和极角序两种. 极角序算法能一次确定整个凸包, 但是计算极角需要用到三角函数,速度较慢,精度较差,特殊情况较多. 水平序算法需要扫描两次,但排序简单,讨论简单,不易出错. [算法流程] 1.对顶点按x为第一关键字,y为第二关键字进行排序. 2.准备一个空栈,并将前两个点压入栈. 3.对于每一个顶点A,只要栈顶中还至少两个顶点,记栈顶为T,栈中第二个为U. 若UT(向量) * TA(向量) <= 0, 则将…
题目链接:https://vjudge.net/problem/POJ-1113 题意:简化下题意即求凸包的周长+2×PI×r. 思路:用graham求凸包,模板是kuangbin的. AC code: #include<cstdio> #include<cstring> #include<algorithm> #include<cmath> using namespace std; ; const double PI=acos(-1.0); struct…
凸包算法讲解:Click Here 题目链接:https://vjudge.net/problem/POJ-1113 题意:简化下题意即求凸包的周长+2×PI×r. 思路:用graham求凸包,模板是kuangbin的,算法复杂度O(nlogn). AC code: // Author : RioTian // Time : 20/10/21 #include <algorithm> #include <cmath> #include <cstdio> #include…
1.首先,凸包是啥: 若是在二维平面上,则一般的,给定二维平面上的点集,凸包就是将最外层的点连接起来构成的凸多边型,它能包含点集中所有的点. ─────────────────────────────────────────────────────────────────────────────────────────────────────────── 2.那么,如何通过某种算法求二维平面上的凸包呢? 有Graham扫描法(Graham scan algorithm),复杂度O(nlogn).…
前言: 首先,什么是凸包? 假设平面上有p0~p12共13个点,过某些点作一个多边形,使这个多边形能把所有点都“包”起来.当这个多边形是凸多边形的时候,我们就叫它“凸包”.如下图:  然后,什么是凸包问题? 我们把这些点放在二维坐标系里面,那么每个点都能用 (x,y) 来表示. 现给出点的数目13,和各个点的坐标.求构成凸包的点? Graham扫描法 时间复杂度:O(n㏒n) 思路:Graham扫描的思想和Jarris步进法类似,也是先找到凸包上的一个点,然后从那个点开始按逆时针方向逐个找凸包上…
#include<iostream> #include<cstdio> #include<cmath> #include<vector> #include<algorithm> using namespace std; struct Point { int x, y; Point(int x=0, int y=0):x(x),y(y) { } }; typedef Point Vector; Vector operator - (const Po…
Once upon a time there was a greedy King who ordered his chief Architect to build a wall around the King's castle. The King was so greedy, that he would not listen to his Architect's proposals to build a beautiful brick wall with a perfect shape and…
链接: http://poj.org/problem?id=2187 http://acm.hust.edu.cn/vjudge/contest/view.action?cid=22013#problem/E Beauty Contest Time Limit: 3000MS   Memory Limit: 65536K Total Submissions: 24254   Accepted: 7403 Description Bessie, Farmer John's prize cow, h…