ice_cream's world is a rich country, it has many fertile lands. Today, the queen of ice_cream wants award land to diligent ACMers. So there are some watchtowers are set up, and wall between watchtowers be build, in order to partition the ice_cream’s world. But how many ACMers at most can be awarded by the queen is a big problem. One wall-surrounded land must be given to only one ACMer and no walls are crossed, if you can help the queen solve this problem, you will be get a land.
Input
In the case, first two integers N, M (N<=1000, M<=10000) is represent the number of watchtower and the number of wall. The watchtower numbered from 0 to N-1. Next following M lines, every line contain two integers A, B mean between A and B has a wall(A and B are distinct). Terminate by end of file.
Output
Output the maximum number of ACMers who will be awarded.
One answer one line.
Sample Input
8 10
0 1
1 2
1 3
2 4
3 4
0 5
5 6
6 7
3 6
4 7
Sample Output
3
问题的意思是你可以吧这个分成几个封闭的图形,也就是几个环。如果一般的并查集,那么你肯定的输出结果是1,因为都是互相联通的,但是你需要找的是独立的空间,于是在你查找的需要每碰到一样的“祖宗”的话,就多分成一个独立的空间。
#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
int n,m,a[1010],ans;
void cn()
{
for(int i=0; i<n; i++)
a[i]=i;
}
int find(int u)
{
int v=u;
while(a[v]!=v)
v=a[v];
int i=u,j;
while(i!=v)
{
j=a[i];
a[i]=v;
i=j;
}
return v;
}
void cm(int x,int y)
{
int tx=find(x);
int ty=find(y);
if(tx!=ty)
a[tx]=ty;
else
ans++;
}
int main()
{
while(~scanf("%d%d",&n,&m))
{
cn();
int x,y;
ans=0;
for(int i=0; i<m; i++)
{
scanf("%d%d",&x,&y);
cm(x,y);
}
printf("%d\n",ans);
}
return 0;
}