HDU 1856 More is better【并查集】

解题思路：将给出的男孩的关系合并后，另用一个数组a记录以find(i)为根节点的元素的个数，最后找出数组a的最大值

More is better

Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 327680/102400 K (Java/Others) Total Submission(s): 15861    Accepted Submission(s): 5843

Problem Description

Mr Wang wants some boys to help him with a project. Because the project is rather complex, the more boys come, the better it will be. Of course there are certain requirements.
Mr Wang selected a room big enough to hold the boys. The boy who are not been chosen has to leave the room immediately. There are 10000000 boys in the room numbered from 1 to 10000000 at the very beginning. After Mr Wang's selection any two of them who are still in this room should be friends (direct or indirect), or there is only one boy left. Given all the direct friend-pairs, you should decide the best way.

 

Input

The first line of the input contains an integer n (0 ≤ n ≤ 100 000) - the number of direct friend-pairs. The following n lines each contains a pair of numbers A and B separated by a single space that suggests A and B are direct friends. (A ≠ B, 1 ≤ A, B ≤ 10000000)

 

Output

The output in one line contains exactly one integer equals to the maximum number of boys Mr Wang may keep.

 

Sample Input

4 1 2 3 4 5 6 1 6 4 1 2 3 4 5 6 7 8

 

Sample Output

4 2

#include<stdio.h>

#include<string.h>

 int pre[10000010],a[10000010];

 int find( int root)

{

	if(root!=pre[root])

	pre[root]=find(pre[root]);

	return pre[root];

}

void unionroot( int root1,int root2)

{

	 int x,y;

	x=find(root1);

	y=find(root2);

	if(x!=y)

	pre[x]=y;

}



int main()

{

	int n;

	int root1,root2,x,y,k,i,max;

	while(scanf("%d",&n)!=EOF)

	{

		max=-100000;

		for(i=1;i<=10000010;i++)

		a[i]=0;

	

		for(i=1;i<=10000010;i++)

		pre[i]=i;

		while(n--)

		{

			scanf("%d %d",&root1,&root2);

			x=find(root1);

			y=find(root2);

			unionroot(x,y);

		}

		

		for(i=1;i<=10000010;i++)

		{

			k=find(i);

			a[k]++;//记录以find(i)为根节点的包含有多少 个元素 

		}

		for(i=1;i<=10000010;i++)

		{

			if(a[i]>max)

			max=a[i];

		}

		printf("%d\n",max);		

	}

}