题目连接: http://poj.org/problem?id=2318     http://poj.org/problem?id=2398 两题类似的题目,2398是2318的升级版. 题目大概是说,有一个矩形的柜子,中间有一些隔板.告诉你每个隔板的坐标,还有一些玩具的坐标,统计玩具在哪个格子里. 这题的思路很简单,如果玩具在某个隔板的左边和右边叉乘的正负是不同的.如图: 图中点P在线段CD的左边,则向量PC和向量PD叉乘结果小于0.反之P在AB的左边,向量PA叉乘PB大于0. 因此利用这个…

链接:poj 2318 题意:有一个矩形盒子,盒子里有一些木块线段.而且这些线段坐标是依照顺序给出的. 有n条线段,把盒子分层了n+1个区域,然后有m个玩具.这m个玩具的坐标是已知的,问最后每一个区域有多少个玩具 分析:从左往右.直到推断玩具是否在线段的逆时针方向为止.这个就须要用到叉积,当然能够用二分查找优化. 叉积:已知向量a(x1,y1),向量b(x2,y2),axb=x1*y2-x2*y1, 若axb>0,a在b的逆时针方向,若axb<0,则a在b的顺时针方向 注:每组数据后要多空一行…

题目链接 题意: 给定一个矩形,n个线段将矩形分成n+1个区间,m个点,问这些点的分布. 题解: 思路就是叉积加二分,利用叉积判断点与直线的距离,二分搜索区间. 代码: 最近整理了STL的一些模板,发现真是好用啊orz,为啥以前没发现呢,可能是比较懒吧-.- #include <stdio.h> #include <string.h> #include <cmath> #include <iostream> #include <queue> #i…

2318 TOYS 2398 Toy Storage 题意 : 给你n块板的坐标,m个玩具的具体坐标,2318中板是有序的,而2398无序需要自己排序,2318要求输出的是每个区间内的玩具数,而2318要求输出的是有 i 个玩具的区间有几个. 思路 : 两个题基本差不多,只不过2398排一下序,然后再找个数组标记一下就行. 这个题我一开始没想到用二分,判断了点在四边形内但是没写下去,然后看了网上的二分区间,利用叉积判断点在左边还是右边. 2318代码: #include <stdio.h> #…

题目传送门:poj 2398 Toy Storage 题目大意:一个长方形的箱子,里面有一些隔板,每一个隔板都可以纵切这个箱子.隔板将这个箱子分成了一些隔间.向其中扔一些玩具,每个玩具有一个坐标,求有\(t​\)个玩具的隔间数(对\(t>0​\)都要输出). 题目分析:涉及到计算几何的知识是求点在线的哪一侧.可以利用叉积来做.取点\(A\)到隔板的上端点\(B\)的向量\(\vec{AB}\)叉乘点\(A\)到隔板的下端点\(C\)的向量\(\vec{AC}\).叉积的公式\(\vec a\ti…

题目传送门:POJ 2318 TOYS Description Calculate the number of toys that land in each bin of a partitioned toy box. Mom and dad have a problem - their child John never puts his toys away when he is finished playing with them. They gave John a rectangular bo…

题目传送门 题意:POJ 2318 有一个长方形,用线段划分若干区域,给若干个点,问每个区域点的分布情况 分析:点和线段的位置判断可以用叉积判断.给的线段是排好序的,但是点是无序的,所以可以用二分优化.用到了叉积 /************************************************ * Author :Running_Time * Created Time :2015/10/23 星期五 11:38:18 * File Name :POJ_2318.cpp ****…

POJ 2318: 题目大意:给定一个盒子的左上角和右下角坐标,然后给n条线,可以将盒子分成n+1个部分,再给m个点,问每个区域内有多少各点 这个题用到关键的一步就是向量的叉积,假设一个点m在 由abcd围成的四边形区域内,那么向量ab, bc, cd, da和点的关系就是,点都在他们的同一侧,我是按照逆时针来算的,所以只需要判断叉积是否小于0就行了.还有一个问题就是这个题要求时间是2s,所以直接找,不用二分也能过,不过超过1s了,最好还是二分来做,二分时间170ms,二分的时候要把最左边的一条…

Toy Storage Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 5439   Accepted: 3234 Description Mom and dad have a problem: their child, Reza, never puts his toys away when he is finished playing with them. They gave Reza a rectangular box…

Toy Storage Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 3146   Accepted: 1798 Description Mom and dad have a problem: their child, Reza, never puts his toys away when he is finished playing with them. They gave Reza a rectangular box…

题目链接:http://poj.org/problem?id=2398 Time Limit: 1000MS Memory Limit: 65536K Description Mom and dad have a problem: their child, Reza, never puts his toys away when he is finished playing with them. They gave Reza a rectangular box to put his toys in…

Toy Storage Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 4588   Accepted: 2718 Description Mom and dad have a problem: their child, Reza, never puts his toys away when he is finished playing with them. They gave Reza a rectangular box…

这道题和POJ 2318几乎是一样的. 区别就是输入中坐标不给排序了,=_=|| 输出变成了,有多少个区域中有t个点. #include <cstdio> #include <cmath> #include <cstring> #include <algorithm> using namespace std; struct Point { int x, y; Point(, ):x(x), y(y) {} }; typedef Point Vector; P…

Toy Storage Time Limit: 1000MS Memory Limit: 65536K Description Mom and dad have a problem: their child, Reza, never puts his toys away when he is finished playing with them. They gave Reza a rectangular box to put his toys in. Unfortunately, Reza is…

题目链接 Toy Storage Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 4104   Accepted: 2433 Description Mom and dad have a problem: their child, Reza, never puts his toys away when he is finished playing with them. They gave Reza a rectangula…

http://poj.org/problem?id=2318 TOYS Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 10178   Accepted: 4880 Description Calculate the number of toys that land in each bin of a partitioned toy box. Mom and dad have a problem - their child…

计算几何终于开坑了... 叉积+二分. #include<iostream> #include<cstdio> #include<cstring> #include<algorithm> #define maxn 5050 using namespace std; struct point { int x,y; point (int x,int y):x(x),y(y) {} point () {} friend point operator-(point…

题意:给定一个如上的长方形箱子,中间有n条线段,将其分为n+1个区域,给定m个玩具的坐标,统计每个区域中的玩具个数. 题解:通过斜率判断一个点是否在两条线段之间. /** 通过斜率比较点是否在两线段之间 */ #include"iostream" #include"cstdio" #include"algorithm" #include"cstring" using namespace std; const int N=100…

Description Mom and dad have a problem: their child, Reza, never puts his toys away when he is finished playing with them. They gave Reza a rectangular box to put his toys in. Unfortunately, Reza is rebellious and obeys his parents by simply throwing…

Description Mom and dad have a problem: their child, Reza, never puts his toys away when he is finished playing with them. They gave Reza a rectangular box to put his toys in. Unfortunately, Reza is rebellious and obeys his parents by simply throwing…

二分点所在区域,叉积判断左右 #include<iostream> #include<cstdio> #include<cstring> #include<algorithm> #include<cstdio> using namespace std; const int N=1005; int T,n,m,x1,y1,x2,y2,ans[N],cnt[N]; struct dian { double x,y; dian(double X=0,d…

题目链接:http://poj.org/problem?id=2318 Time Limit: 2000MS Memory Limit: 65536K Description Calculate the number of toys that land in each bin of a partitioned toy box. Mom and dad have a problem - their child John never puts his toys away when he is fin…

TOYS Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 8661   Accepted: 4114 Description Calculate the number of toys that land in each bin of a partitioned toy box. Mom and dad have a problem - their child John never puts his toys away wh…

题目: Description Calculate the number of toys that land in each bin of a partitioned toy box. Mom and dad have a problem - their child John never puts his toys away when he is finished playing with them. They gave John a rectangular box to put his toy…

TOYS Time Limit: 2000MS Memory Limit: 65536K Description Calculate the number of toys that land in each bin of a partitioned toy box. Mom and dad have a problem - their child John never puts his toys away when he is finished playing with them. They g…

TOYS Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 12015   Accepted: 5792 Description Calculate the number of toys that land in each bin of a partitioned toy box. Mom and dad have a problem - their child John never puts his toys away w…

题目大意:有一个矩形盒子,盒子里会有一些木块线段,并且这些线段是按照顺序给出的,有n条线段,把盒子分层了n+1个区域,然后有m个玩具,这m个玩具的坐标是已知的,问最后每个区域有多少个玩具 解题思路:因为线段是有序给出,所以不用排序,判断某个点在哪个区域,采用二分法,将某个点和线段的叉积来判断这个点是在线的左边或者右边,根据这个来二分找出区域 代码和思路参考与此链接:http://blog.csdn.net/wangjian8006 这也算我入门计算几何的第一道题了,首先看了一些有关资料,了解到叉…

TOYS 题意:给定一个如上的长方形箱子,中间有n条线段,将其分为n+1个区域,给定m个玩具的坐标,统计每个区域中的玩具个数. 思路:这道题很水,只是要知道会使用叉乘来表示点在线的上面还是下面: 当a.Xmult(b,c) < 0时,表示在线的上面.之后就是二分的时候,不能直接使用mid来ans[mid]++; 因为只是确定点在这条线的两边,到底是哪一边,具体还要用tmp来判断;(模板题) #include<iostream> #include<cstdio> #includ…

题意: 给一个矩形的区域(左上角为(x1,y1) 右下角为(x2,y2)),给出n对(u,v)表示(u,y1) 和 (v,y2)构成线段将矩形切割 这样构成了n+1个多边形,再给出m个点,问每个多边形内有多少个点. 读入为n,m,x1,y1,x2,y2 n个数对(u,v),m个数对(x,y) (n,m<=5000) 题解: 很暴力的想法是对于每个点,枚举每个多边形进行检查. 但是多组数据就很江 考虑一下判断点在多边形内的射线法可知 枚举一个多边形的时候就可以知道点在多边形的左边还是右边 这样我们…

今天开始学习计算几何,百度了两篇文章,与君共勉! 计算几何入门题推荐 计算几何基础知识 题意:有一个盒子,被n块木板分成n+1个区域,每个木板从左到右出现,并且不交叉. 有m个玩具(可以看成点)放在这个盒子里,问每个区域分别有多少个玩具. 思路:首先,用叉积判断玩具是否在木板的左边,再用二分找到符合的最右边的木板,该木板答案加一. #include<stdio.h> #include<string.h> struct point{ int x,y; point(){} point(…