并查集（Union-Find）

Posted 2022-02-03 blue-lin

Date：2019-06-23 13:42:53

 1 //定义
 2 int father[N];  //father[1]=2,即2是1的父亲，根结点用father[i]=i表示
 3 
 4 //初始化
 5 for(int i=1; i<=N; i++)
 6     father[i]=i;    //初始时有N个独立的集合
 7 
 8 //查找
 9 //对于给定的结点，寻找其根结点
10 int Find(int x)
11 
12     if(father[x] == x)
13         return x;
14     Find(father[x]);
15 
16 
17 //合并
18 void Union(int a, int b)
19 
20     int fa = Find(a);
21     int fb = Find(b);
22     father[fb] = fa;    //不能用father[a]=b
23     Find2(b);          //将fb中的结点更新至fa
24 
25 
26 
27 //路径压缩
28 //把当前查询结点的路径上所有的结点的父亲都指向根结点
29 int Find2(int x)
30 
31     int r = x;
32     while(x != father[x])
33         x = father[x];
34     //此处x已经是根结点
35     while(r != father[r])
36     
37         int z = r;
38         r = father[r];
39         father[z] = x;
40     
41 
42 
43 //递归写法
44 int Find2(int x)
45 
46     if(x == father[x])
47         return x;
48     fathre[x] = Find2(father[x]);
49