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?
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.
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.
5
C 3 2
I 3 2
C 1 5
I 4 5
I 2 4
C 3 5
S
no
no
yes
There are 2 components.
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
no
no
yes
yes
The network is connected.
解题思路:
此问题可用并查集求解。
查找两个电脑是否相连,只需访问他们的根是否相同即可。
所求结果若是电脑全部相连,即所有的数字对应的根相同,输出 "The network is connected." ;
否则就输出有几个连接的集合,这里我用map函数来统计。
代码如下:
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