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.
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
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.
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 4Sample Output
FAIL SUCCESS
题意:
有n个电脑毁坏,并且只有距离小于d的两个相邻计算机可以相互联系,当然,计算机之间也可以通过计算机形成通路,现在有两种操作,O是修复计算机ai;P是询问任意两台计算机能否联络,给出回答,SUCCESS或者FAIL。
题解:
很标准的并查集类型题,每个电脑都有一个坐标,构造结构体进行存储数据,结构体中也包括pre,表示是以这个坐标为一个整体,判断电脑可否联通,其中要添加一个use数组,用来判断P操作时的计算机有无被修复过。
代码
#include<iostream> #include<cstdio> #include<cstring> #include<string> #include<algorithm> using namespace std; struct node { int x,y,pre; }p[1005]; int use[1005],d; int Find(int a) { return a==p[a].pre?a:Find(p[a].pre); } void join(node a,node b) { int root1,root2; root1=Find(a.pre); root2=Find(b.pre); if(root1!=root2) if((a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y)<=d*d) p[root2].pre=root1; } int main() { int n,i,a,b; char m; cin>>n>>d; for(i=0;i<=n;i++) p[i].pre=i; memset(use,false,sizeof(use)); for(i=1;i<=n;++i) scanf("%d%d",&p[i].x,&p[i].y); while(scanf(" %c",&m)!=EOF) { if(m =='O') { scanf("%d",&a); use[a]=true; for(i=1;i<=n;++i) if(use[i]&&i!=a) join(p[i],p[a]); } else { scanf("%d%d",&a,&b); if(Find(a)==Find(b)) printf("SUCCESS "); else printf("FAIL "); } } return 0; }