HDOJ 1272 小希的迷宫(并查集判环+判联通块)

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HOT~ 杭电2015级新生如何加入ACM集训队? 
# 小希的迷宫**Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 36454    Accepted Submission(s): 11155 ** Problem Description上次Gardon的迷宫城堡小希玩了很久(见Problem B),现在她也想设计一个迷宫让Gardon来走。但是她设计迷宫的思路不一样,首先她认为所有的通道都应该是双向连通的,就是说如果有一个通道连通了房间A和B,那么既可以通过它从房间A走到房间B,也可以通过它从房间B走到房间A,为了提高难度,小希希望任意两个房间有且仅有一条路径可以相通(除非走了回头路)。小希现在把她的设计图给你,让你帮忙判断她的设计图是否符合她的设计思路。比如下面的例子,前两个是符合条件的,但是最后一个却有两种方法从5到达8。    Input输入包含多组数据,每组数据是一个以0 0结尾的整数对列表,表示了一条通道连接的两个房间的编号。房间的编号至少为1,且不超过100000。每两组数据之间有一个空行。  整个文件以两个-1结尾。  Output对于输入的每一组数据,输出仅包括一行。如果该迷宫符合小希的思路,那么输出"Yes",否则输出"No"。  Sample Input```
                          6 8  5 3  5 2  6 4 5 6  0 0  8 1  7 3  6 2  8 9  7 5 7 4  7 8  7 6  0 0  3 8  6 8  6 4 5 3  5 6  5 2  0 0  -1 -1              

  Sample Output Yes Yes No

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思路:图中不能有环即点数-1=边数。然后判断是否全图均为一个联通块。

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```cpp
#include <cstdio>
#include <iostream>
#include <cstring>
#pragma comment(linker, "/STACK:102400000,102400000")
using namespace std;

int a[1000000],s[1000000];
int cnt;
int fi(int r)
{
    return r==a[r]?r:a[r]=fi(a[r]);
}
void sor(int x,int y)
{
    int p=fi(x);
    int q=fi(y);
    a[p]=q;
}
int main()
{
    int n,m,i,j,k;
    while(~scanf("%d%d",&n,&m))
    {
        if(m==-1&&n==-1)
        {
            break;
        }
        else if(!n&&!m)
        {
            printf("Yes\n");continue;
        }
        cnt=0;
        memset(a,0,sizeof(a));
        memset(s,0,sizeof(s));
        if(a[m]==0)
        {
            a[m]=m;
            s[cnt++]=m;
        }
        if(a[n]==0)
        {
            a[n]=n;
            s[cnt++]=n;
        }
        sor(n,m);
        int x,y,d=1;
        while(~scanf("%d%d",&x,&y))
        {

            if(!x&&!y)
                break;
            d++;
            if(!a[x])
            {
                a[x]=x;
                s[cnt++]=x;
            }
            if(!a[y])
            {
                a[y]=y;
                s[cnt++]=y;
            }
            sor(x,y);
        }
        int c=0;
        for(i=0;i<cnt;i++)
        {
            if(a[s[i] ]==s[i] )
                c++;
        }
        if(c==1&&cnt-1==d)
            printf("Yes\n");
        else
            printf("No\n");
    }
    return 0;
}


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