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.
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.
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 1 0 1 0 2 0 3 0 4 O 1 O 2 O 4 S 1 4 O 3 S 1 4
Sample Output
FAIL SUCCESS
题目大意:
一张图上分布着n台坏了的电脑,并知道它们的坐标。两台修好的电脑如果距离<=d就可以联网,也可以通过其他修好的电脑间接相连。给出操作“O x”表示修好x,给出操作“S x y”,请你判断x和y在此时有没有连接上。
解题思路:
这是一个简单的并查集,只是需要判断一下距离是不是满足条件就行了
基本上是模板:
直接贴代码:
/** 2015 - 09 - 18 晚上 Author: ITAK Motto: 今日的我要超越昨日的我,明日的我要胜过今日的我, 以创作出更好的代码为目标,不断地超越自己。 **/ #include <iostream> #include <cstdio> #include <cstring> #include <cstdlib> #include <cmath> #include <vector> #include <queue> #include <algorithm> #include <set> using namespace std; typedef long long LL; const int maxn = 1005; const double eps = 1e-7; struct node { int x, y; } arr[maxn]; int rank[maxn], fa[maxn], num[maxn]; ///基本上是模板 void Init(int x) { for(int i=1; i<=x; i++) { fa[i] = i; rank[i] = 0; } } int Find(int x) { if(fa[x] != x) fa[x] = Find(fa[x]); return fa[x]; } void Union(int x, int y) { int fx = Find(x), fy = Find(y); if(fx == fy) return; if(rank[fx] > rank[fy]) fa[fy] = fx; else { fa[fx] = fy; if(rank[fx] == rank[fy]) rank[fy]++; } } ///计算距离(x 与 y) int Dis(node A, node B) { return (A.x-B.x)*(A.x-B.x) + (A.y-B.y)*(A.y-B.y); } char str[20]; int main() { int m, d, xx, yy; scanf("%d%d",&m, &d); Init(m); for(int i=1; i<=m; i++) scanf("%d%d",&arr[i].x, &arr[i].y); int cnt = 0; while(cin>>str) { if(str[0] == 'O') { cin>>xx; for(int i=0; i<cnt; i++) ///每次判断是不是需要联合起来 if(Dis(arr[num[i]], arr[xx]) <= d*d) Union(num[i], xx); num[cnt++] = xx; } else if(str[0] == 'S') { cin>>xx>>yy; int fx = Find(xx); int fy = Find(yy); if(fx == fy) puts("SUCCESS"); else puts("FAIL"); } } return 0; }