We have a network of computers and a list of bi-directional connections. Each of these connections allows a file transfer from one computer to another. Is it possible to send a file from any computer on the network to any other?
Input Specification:
Each input file contains one test case. For each test case, the first line contains N (2≤N≤104), the total number of computers in a network. Each computer in the network is then represented by a positive integer between 1 and N. Then in the following lines, the input is given in the format:
I c1 c2
where I
stands for inputting a connection between c1
and c2
;
or
C c1 c2
where C
stands for checking if it is possible to transfer
files between c1
and c2
;
or
S
where S
stands for stopping this case.
Output Specification:
For each C
case, print in one line the word "yes" or "no"
if it is possible or impossible to transfer files between c1
and c2
,
respectively. At the end of each case, print in one line "The network is connected." if there is a path between any pair of computers; or "There are k
components."
where k
is the number of connected components in this network.
Sample Input 1:
5
C 3 2
I 3 2
C 1 5
I 4 5
I 2 4
C 3 5
S
Sample Output 1:
no
no
yes
There are 2 components.
Sample Input 2:
5
C 3 2
I 3 2
C 1 5
I 4 5
I 2 4
C 3 5
I 1 3
C 1 5
S
Sample Output 2:
no no yes yes
The network is connected.
真是难受,一个简单的符号,弄了很久,好在最后还是自己检查出来了。并查集的基本操作,用了按树的高度来union。也没有用路径压缩。感觉自己真是菜。。
#include<iostream> #define maxsize 10005 using namespace std; typedef int SetType[maxsize]; void Initialize(SetType S,int n) { for(int i=0;i<n;i++) { S[i]=-1; } } int Find(SetType S,int x) { while(S[x]>=0) { x=S[x]; } return x; } void Union(SetType S,int root1,int root2) { if(S[root2]<S[root1]) { S[root1]=root2; } else { if(S[root1]==S[root2]) S[root1]--; S[root2]=root1; } } void Input(SetType S) { int a,b; cin>>a>>b; int root1=Find(S,a-1); int root2=Find(S,b-1); if(root1!=root2) { Union(S,root1,root2); } } void Check(SetType S) { int a,b; cin>>a>>b; int root1=Find(S,a-1); int root2=Find(S,b-1); if(root1==root2) { cout<<"yes"<<endl; } else { cout<<"no"<<endl; } } void Recheck(SetType S,int n) { int cnt=0; for(int i=0;i<n;i++) { if(S[i]<0) cnt++; } if(cnt==1) { cout<<"The network is connected."<<endl; } else { cout<<"There are "<<cnt<<" components."<<endl; } } int main() { int n; SetType S; char in; cin>>n; Initialize(S,n); do { // while((c=getchar())!='\n'); cin>>in; switch(in) { case 'I':Input(S); break; case 'C':Check(S); break; case 'S':Recheck(S,n); break; } } while(in!='S'); return 0; }