POj 2235 Wireless Network

Description

An earthquake takes place in Southeast Asia. The ACM (Asia Cooperated Medical team) have set up a wireless network with the lap computers, but an unexpected aftershock attacked, all computers in the network were all broken. The computers are repaired one by one, and the network gradually began to work again. Because of the hardware restricts, each computer can only directly communicate with the computers that are not farther than d meters from it. But every computer can be regarded as the intermediary of the communication between two other computers, that is to say computer A and computer B can communicate if computer A and computer B can communicate directly or there is a computer C that can communicate with both A and B. 

In the process of repairing the network, workers can take two kinds of operations at every moment, repairing a computer, or testing if two computers can communicate. Your job is to answer all the testing operations. 

Input

The first line contains two integers N and d (1 <= N <= 1001, 0 <= d <= 20000). Here N is the number of computers, which are numbered from 1 to N, and D is the maximum distance two computers can communicate directly. In the next N lines, each contains two integers xi, yi (0 <= xi, yi <= 10000), which is the coordinate of N computers. From the (N+1)-th line to the end of input, there are operations, which are carried out one by one. Each line contains an operation in one of following two formats: 
1. "O p" (1 <= p <= N), which means repairing computer p. 
2. "S p q" (1 <= p, q <= N), which means testing whether computer p and q can communicate. 

The input will not exceed 300000 lines. 

Output

For each Testing operation, print "SUCCESS" if the two computers can communicate, or "FAIL" if not.

Sample Input

4 10 10 20 30 4O 1O 2O 4S 1 4O 3S 1 4

Sample Output

FAILSUCCESS

题意：
　　有一个计算机网络的所有线路都坏了，网络中有n台计算机，现在你可以做两种操作，修理（O）和检测两台计算机是否连通（S），只有修理好的计算机才能连通。连通有个规则，两台计算机的距离不能超过给定的最大距离D（一开始会给你n台计算机的坐标）。检测的时候输出两台计算机是否能连通。
 
思路：
　　每次修理好一台计算机的时候就遍历一下所有修好的计算机，看距离是否<=D，如果符合说明可以连通，将两台计算机所在集合合并。
　　每次检查的时候判断一下这两台计算机是否在同一集合中即可。
代码
#include <iostream>#include <cmath>#include <cstring>using namespace std;int f[1010],repair[1010],n,num,p,q;double d;struct node{double x,y;}pt[1010];void init()     //初始化{num = 0;memset(repair,0,sizeof(repair));for(int i = 0;i<1010;i++)f[i] = i;}int find(int x)        //寻找父节点并压缩路径{if(f[x] != x)f[x] = find(f[x]);return f[x];}void merge(int x,int y)  //合并{int t1 = find(x);int t2 = find(y);if(t1 != t2)f[t2] = t1;}double dis(node a,node b)  //求距离{return sqrt((a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y));}int main(){cin >> n >> d;init();for(int i = 1;i<=n;i++)cin >> pt[i].x >> pt[i].y;char c;while(cin >> c){if(c == 'O'){cin >> p;for(int i = 0;i<num;i++)  //遍历所有修过的计算机，看是否能够联通{if(dis(pt[repair[i]],pt[p]) <= d)merge(repair[i],p);}repair[num++] = p;}else{cin >> p >> q;if(find(p) == find(q))   //是否有路cout<<"SUCCESS"<<endl;elsecout<<"FAIL"<<endl;}}}