#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…

POJ2187 旋转卡壳算法如图 证明:对于直径AB 必然有某一时刻 A和B同时被卡住 所以旋转卡壳卡住的点集中必然存在直径 而卡壳过程显然是O(n)的 故可在O(n)时间内求出直径 凸包具有良好的性质 其中的点是有序的 对于某个点 从它之后的点与它的距离必然是一个单峰凸函数 根据这个性质也可以设计一个O(nlogn)的算法 给出代码 #include<iostream> #include<stdio.h> #include<stdlib.h> #include<…

题意: 求平面上的最远点对距离的平方. 分析: 对于这个数据量枚举肯定是要超时的. 首先这两个点一定是在凸包上的,所以可以枚举凸包上的点,因为凸包上的点要比原来的点会少很多,可最坏情况下的时间复杂度也是O(n2). 于是就有了旋转卡壳. 可以想象有两条平行直线紧紧地夹住这个凸包,那直线上的点就是对踵点对.对踵点对最多有四对,就是当凸包的两边和两直线重合的情况. 直线的角度不断变化,直线上的对踵点对也会发生变化,当直线旋转过180°后,那么凸包上所有的对踵点对也就全部遍历到了. 代码中还有很详细的…

题意:给定N个点,用矩形将所有点覆盖,要求矩形宽度最小. 思路:裸体,旋转卡壳去rotate即可. 最远距离是点到点:宽度是点到边. #include<bits/stdc++.h> #define ll long long #define rep(i,a,b) for(int i=a;i<=b;i++) #define RC rotating_calipers using namespace std; ; struct point{ ll x,y; point(,):x(x),y(y){…

题目链接:http://poj.org/problem?id=2187 旋转卡壳算法:http://www.cppblog.com/staryjy/archive/2009/11/19/101412.html 或 http://cgm.cs.mcgill.ca/~orm/rotcal.frame.html #include<cstdio> #include<cstring> #include<cmath> #include<iostream> #includ…

Triangle Time Limit: 3000MS   Memory Limit: 30000K Total Submissions: 7625   Accepted: 2234 Description Given n distinct points on a plane, your task is to find the triangle that have the maximum area, whose vertices are from the given points. Input…

Bridge Across Islands Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 7202   Accepted: 2113   Special Judge Description Thousands of thousands years ago there was a small kingdom located in the middle of the Pacific Ocean. The territory…

来源:旋转卡壳法求点集最小外接矩形(面积)并输出四个顶点坐标 BZOJ又崩了,直接贴一下人家的代码. 代码: #include"stdio.h" #include"string.h" #include"math.h" #define M 50006 #define eps 1e-10 #include"stdlib.h" #define inf 999999999 typedef struct node { double x,…

Bridge Across Islands Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 9768   Accepted: 2866   Special Judge Description Thousands of thousands years ago there was a small kingdom located in the middle of the Pacific Ocean. The territory…

Bessie, Farmer John's prize cow, has just won first place in a bovine beauty contest, earning the title 'Miss Cow World'. As a result, Bessie will make a tour of N (2 <= N <= 50,000) farms around the world in order to spread goodwill between farmers…