题意:给定几个圆,求最短的围合,把这几个包围起来,而且到圆的距离都不小于10. 思路:把每个圆的半径+10,边等分5000份,然后求凸包即可. #include<bits/stdc++.h> using namespace std; #define mp make_pair typedef long long ll; const double inf=1e200; ; *atan(1.0); :(x<?-:);} struct point{ double x,y; point(,):x(…

题目传送门 题意:判断一些点的凸包能否唯一确定 分析:如果凸包边上没有其他点,那么边想象成橡皮筋,可以往外拖动,这不是唯一确定的.还有求凸包的点数<=2的情况一定不能确定. /************************************************ * Author :Running_Time * Created Time :2015/11/4 星期三 10:24:45 * File Name :POJ_1228.cpp *************************…

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…

1.HDU 1392 Surround the Trees 2.题意:就是求凸包周长 3.总结:第一次做计算几何,没办法,还是看了大牛的博客 #include<iostream> #include<cstring> #include<cmath> #include<queue> #include<algorithm> #include<cstdio> #include<cstdlib> #define F(i,a,b) f…

http://poj.org/problem?id=1113 题目大意:现在要给n个点,让你修一个围墙把这些点围起来,距离最小是l 分析  :现在就是求凸包的周长然后再加上一个圆的周长 #include<stdio.h> #include<string.h> #include<stdlib.h> #include<math.h> #include<algorithm> #include<iostream> #include<qu…

Wall Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 28157   Accepted: 9401 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 wo…

Wall Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 28462   Accepted: 9498 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 wo…

题目传送门 题意:找一条直线,使得其余的点都在直线的同一侧,而且使得到直线的平均距离最短. 分析:训练指南P274,先求凸包,如果每条边都算一边的话,是O (n ^ 2),然而根据公式知直线一般式为Ax + By + C = 0.点(x0, y0)到直线的距离为:fabs(Ax0+By0+C)/sqrt(A*A+B*B). 所以只要先求出x的和以及y的和,能在O (1)计算所有距离和. 两点式直线方程p1 (x1, y1),p2 (x2, y2)转换成一般式直线方程:A = y1 - y2, B…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1348 求凸包周长+2*PI*L: #include <stdio.h> #include <algorithm> #include <cstring> #include <cmath> using namespace std; ; ; ); struct point { double x, y; point(){} point(double x, double…

题目链接 题意 : 求凸包周长+一个完整的圆周长. 因为走一圈,经过拐点时,所形成的扇形的内角和是360度,故一个完整的圆. 思路 : 求出凸包来,然后加上圆的周长 #include <stdio.h> #include <string.h> #include <iostream> #include <cmath> #include <algorithm> const double PI = acos(-1.0) ; using namespac…

旋转卡壳求凸包直径. 参考:http://www.cppblog.com/staryjy/archive/2010/09/25/101412.html #include <cstdio> #include <cmath> #include <algorithm> using namespace std; << ; struct Point { int x, y; Point( , ):x(x), y(y) { } }; typedef Point Vecto…

题目大意:给N个点,然后要修建一个围墙把所有的点都包裹起来,但是要求围墙距离所有的点的最小距离是L,求出来围墙的长度. 分析:如果没有最小距离这个条件那么很容易看出来是一个凸包,然后在加上一个最小距离L,那么就是在凸包外延伸长度为L,如下图,很明显可以看出来多出来的长度就是半径为L的圆的周长,所以总长度就是凸包的周长+半径为L的圆的周长. 代码如下: -------------------------------------------------------------------------…

Time Limit: 3000MS   Memory Limit: 65536K Total Submissions: 25256   Accepted: 7756 Description 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…

Wall Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 31199   Accepted: 10521 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 w…

题目链接 大意: 求凸包的面积. #include <iostream> #include <vector> #include <cstdio> #include <cstring> #include <algorithm> #include <cmath> #include <map> #include <set> #include <string> #include <queue>…

B. Polygons time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output You've got another geometrical task. You are given two non-degenerate polygons A and B as vertex coordinates. Polygon A is stric…

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).…

旋转卡壳求凸包的直径的平方 板子题 #include<cstdio> #include<vector> #include<cmath> #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 Point&…

Cows Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 6199   Accepted: 2822 Description Your friend to the south is interested in building fences and turning plowshares into swords. In order to help with his overseas adventure, they are f…

Surround the Trees Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 6812    Accepted Submission(s): 2594 Problem Description There are a lot of trees in an area. A peasant wants to buy a rope to…

Wall Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 2848    Accepted Submission(s): 811 Problem Description Once upon a time there was a greedy King who ordered his chief Architect to build a w…

Beauty Contest Time Limit: 3000MS   Memory Limit: 65536K Total Submissions: 26180   Accepted: 8081 Description 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, Bess…

题意:在某块平面土地上有N个点,你可以选择其中的任意四个点,将这片土地围起来,当然,你希望这四个点围成. 的多边形面积最大.n<=2000. 先求凸包,再枚举对角线,随着对角线的斜率上升,另外两个点的在凸包上的位置也是单调的. 水平扫描法:先将所有点按x排序,然后从左往右边扫边求出上凸壳,然后从右往左扫出下凸壳.最后会发现a[tot]=a[1]. #include<cstdio> #include<algorithm> #define rep(i,l,r) for (int…

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…

A - Building Fence Time Limit:1000MS     Memory Limit:65535KB     64bit IO Format:%I64d & %I64u Submit Status Description Long long ago, there is a famous farmer named John. He owns a big farm and many cows. There are two kinds of cows on his farm, o…

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…

点此看题面 大致题意: 告诉你若干个矩形的重心坐标.长.宽和相对\(y\)轴的偏转角度,求矩形面积和与能围住这些矩形的最小凸包面积之比. 矩形面积和 这应该是比较好求的吧. 已经给了你长和宽,直接乘起来累加即可. 最小凸包面积 这道题关键还是在于求凸包面积. 首先,我们要注意将题目中给出的角度转换成弧度,还要记得取相反数,不然调死你. 这段代码可以与旋转函数放在一起: inline Point Rotate(Vector A,double deg) { register double rad=d…

Most Distant Point from the Sea Time Limit: 5000MS   Memory Limit: 65536K Total Submissions: 3640   Accepted: 1683   Special Judge Description The main land of Japan called Honshu is an island surrounded by the sea. In such an island, it is natural t…

#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…

BZOJ_1670_[Usaco2006 Oct]Building the Moat护城河的挖掘_求凸包 Description 为了防止口渴的食蚁兽进入他的农场,Farmer John决定在他的农场周围挖一条护城河.农场里一共有N(8<=N<=5,000)股泉水,并且,护城河总是笔直地连接在河道上的相邻的两股泉水.护城河必须能保护所有的泉水,也就是说,能包围所有的泉水.泉水一定在护城河的内部,或者恰好在河道上.当然,护城河构成一个封闭的环. 挖护城河是一项昂贵的工程,于是,节约的FJ希望护城…