Given n points on the XY plane, count how many regular rectangles are formed. A rectangle is regular if and only if its sides are all parallel to the axis.
Input
The first line contains the number of tests t (1 ≤ t ≤ 10). Each case contains a single line with a
positive integer n (1 ≤ n ≤ 5000), the number of points. There are n lines follow, each line contains 2
integers x, y (≤ x, y ≤ 109
) indicating the coordinates of a point.
Output
For each test case, print the case number and a single integer, the number of regular rectangles found.
Sample Input
2
5
0 0
2 0
0 2
2 2
1 1
3
0 0
0 30
0 900
Sample Output
Case 1: 1
Case 2: 0

题意:给你n个点 ,问你这些点能够组成多少个 长宽和坐标轴平行的 矩形

题解:按照x排序,在y轴平行下,选择不同直线组合,满足两y轴上的点相等就是一种,  对于一堆相等的 我们用组合数就好了

//meek
///#include<bits/stdc++.h>
#include <iostream>
#include <cstdio>
#include <cmath>
#include <string>
#include <cstring>
#include <algorithm>
using namespace std ;
typedef long long ll;
#define mem(a) memset(a,0,sizeof(a))
#define pb push_back
#define fi first
#define se second
#define MP make_pair const int N=;
const ll INF = 1ll<<;
const int inf = <<;
const int mod= ;
const int M = ; struct ss{
int x,y;
}a[N],p[N*N];
int cnt;
int cmp(ss s1,ss s2) {
if(s1.x == s2.x) return s1.y<s2.y;
return s1.x<s2.x;
}
void init() {
cnt = ;mem(p);
}
ll solve() {
ll ans = ;
for(int i = ;i < cnt; ) {
int now = i+;
while(p[i].x == p[now].x && p[i].y == p[now].y) now++;
ll c = now - i;
if(c>=) ans += c*(c-)/;
i = now;
}
return ans;
}
int main() {
int T,n,x,y,cas = ;
scanf("%d",&T);
while(T--) {
init();
scanf("%d",&n);
for(int i=;i<=n;i++) {
scanf("%d%d",&x,&y);
a[i].x = x;
a[i].y = y;
}
sort(a+,a+n+,cmp);
cnt = ;
for(int i=;i<=n;i++) {
for(int j=i+;j<=n;j++) {
if(a[i].x != a[j].x) {
break;
}
p[cnt].x = a[i].y;
p[cnt].y = a[j].y;
cnt++;
}
}
printf("Case %d: ",cas++);
sort(p,p+cnt,cmp);
printf("%lld\n",solve());
}
return ;
}

代码

UVA 10574 - Counting Rectangles 计数的更多相关文章

  1. UVA 10574 - Counting Rectangles(枚举+计数)

    10574 - Counting Rectangles 题目链接 题意:给定一些点,求可以成几个边平行于坐标轴的矩形 思路:先把点按x排序,再按y排序.然后用O(n^2)的方法找出每条垂直x轴的边,保 ...

  2. UVA - 10574 Counting Rectangles

    Description Problem H Counting Rectangles Input: Standard Input Output:Standard Output Time Limit: 3 ...

  3. Counting Rectangles

    Counting Rectangles Time Limit: 1000MS Memory Limit: 10000K Total Submissions: 1043 Accepted: 546 De ...

  4. counting sort 计数排序

    //counting sort 计数排序 //参考算法导论8.2节 #include<cstdio> #include<cstring> #include<algorit ...

  5. Project Euler 85 :Counting rectangles 数长方形

    Counting rectangles By counting carefully it can be seen that a rectangular grid measuring 3 by 2 co ...

  6. Codeforces Round #219 (Div. 2) D. Counting Rectangles is Fun 四维前缀和

    D. Counting Rectangles is Fun time limit per test 4 seconds memory limit per test 256 megabytes inpu ...

  7. Codeforces 372 B. Counting Rectangles is Fun

    $ >Codeforces \space 372 B.  Counting Rectangles is Fun<$ 题目大意 : 给出一个 \(n \times m\) 的 \(01\) ...

  8. uva 1436 - Counting heaps(算)

    题目链接:uva 1436 - Counting heaps 题目大意:给出一个树的形状,如今为这棵树标号,保证根节点的标号值比子节点的标号值大,问有多少种标号树. 解题思路:和村名排队的思路是一仅仅 ...

  9. UVA 12075 - Counting Triangles(容斥原理计数)

    题目链接:12075 - Counting Triangles 题意:求n * m矩形内,最多能组成几个三角形 这题和UVA 1393类似,把总情况扣去三点共线情况,那么问题转化为求三点共线的情况,对 ...

随机推荐

  1. python的内存管理

    1.在Python中,整数和短小的字符,Python都会缓存这些对象,以便重复使用.当我们创建多个等于1的引用时,实际上是让所有这些引用指向同一个对象. a = 1 b = 1 print hex(i ...

  2. Django+Nginx+MongoDB+Mysql+uWsgi的搭建

    搭建目标如下: 图:系统架构图 这个系统可以提供web服务及其它查询应用服务,我用其做一个二手房信息搜集.处理及分发的系统,可以通过浏览器访问,也可以通过定制的客户端进行访问. 一.安装篇 1.下载安 ...

  3. ios学习笔记之block在ios开发中的应用

    一.什么是Blocks      Block是一个C级别的语法以及运行时的一个特性,和标准C中的函数(函数指针)类似,但是其运行需要编译器和运行时支持,从ios4.0开始就很好的支持Block. 二. ...

  4. C#设计模式之装饰者模式(Decorator Pattern)

    1.概述 装饰者模式,英文名叫做Decorator Pattern.装饰模式是在不必改变原类文件和使用继承的情况下,动态地扩展一个对象的功能.它是通过创建一个包装对象,也就是装饰来包裹真实的对象. 2 ...

  5. Quartus II Error总结与解答

    (1).Error (209015): Can't configure device. Expected JTAG ID code 0x020B20DD for device 1, but found ...

  6. Objective-C面向对象(四)

    1.协议(protocol)和委托 1.1 规范.协议与接口 OC中协议的作用就相当于其他语言中接口的作用.协议定义的是多个类共同的公共行为规范,协议通常定义一组公用方法,但不提供实现. 1.2 定义 ...

  7. STL之multiset

    参见http://www.cplusplus.com/reference/set/multiset/ template < class T,                            ...

  8. eclipse 中卸载插件的方法

    卸载步骤: Help -> About Eclipse -> Installation Details -> "点到你要删除的插件,如EclipseME" –&g ...

  9. memcached使用说明

    1.在服务器上注册服务 2.启动服务:services.msc       3.客户端创建服务接口 object Get(string key); List<string> GetKeys ...

  10. js判断手机还是pc并跳转相关页面

    <script type="text/javascript"> function GetRequest() { var url = location.search; / ...