UVA - 11987 Almost Union-Find[并查集 删除]

时间:2024-01-10 14:26:08
UVA - 11987

I hope you know the beautiful Union-Find structure. In this problem, you’re to implement something similar, but not identical.

The data structure you need to write is also a collection of disjoint sets, supporting 3 operations:

1pq

Union the sets containing p and q. If p and q are already in the same set, ignore this command.

2pq

Move p to the set containing q. If p and q are already in the same set, ignore this command.

3p

Return the number of elements and the sum of elements in the set contain- ing p.

Initially, the collection contains n sets: {1}, {2}, {3}, . . . , {n}. Input

There are several test cases. Each test case begins with a line containing two integers n and m (1 ≤ n, m ≤ 100, 000), the number of integers, and the number of commands. Each of the next m lines contains a command. For every operation, 1 ≤ p, q ≤ n. The input is terminated by end-of-file (EOF).

Output

For each type-3 command, output 2 integers: the number of elements and the sum of elements.

Explanation

Initially: {1}, {2}, {3}, {4}, {5}
Collection after operation 1 1 2: {1,2}, {3}, {4}, {5}
Collection after operation 2 3 4: {1,2}, {3,4}, {5} (we omit the empty set that is produced when
taking out 3 from {3})
Collection after operation 1 3 5: {1,2}, {3,4,5}
Collection after operation 2 4 1: {1,2,4}, {3,5}

Sample Input

5 7

1 1 2

2 3 4

1 3 5

3 4

2 4 1

3 4

3 3

Sample Output

3 12
37
28


白书


删除操作

用一个id,删除时给被删除的点重新分配id,旧的父亲和新的父亲分别更新行了

注意本题权值就是自己

沙茶的查询忘加id了.............

//
// main.cpp
// uva11987
//
// Created by Candy on 10/12/16.
// Copyright © 2016 Candy. All rights reserved.
// #include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <map>
using namespace std;
const int N=1e5+;
inline int read(){
char c=getchar();int x=,f=;
while(c<''||c>''){if(c=='-')f=-;c=getchar();}
while(c>=''&&c<=''){x=x*+c-'';c=getchar();}
return x*f;
}
int n,m,op,p,q;
int fa[N],sum[N],id[N],cnt[N],num=;
inline int find(int x){return x==fa[x]?x:fa[x]=find(fa[x]);}
inline void unn(int x,int y){
int f1=find(id[x]),f2=find(id[y]);
if(f1!=f2){
fa[f1]=f2;
sum[f2]+=sum[f1];
cnt[f2]+=cnt[f1];
}
}
inline void move(int x,int y){
int f1=find(id[x]),f2=find(id[y]);
if(f1!=f2){
sum[f1]-=x;
cnt[f1]--;
id[x]=++num;
sum[f2]+=x;
cnt[f2]++;
fa[id[x]]=f2;
}
}
int main(int argc, const char * argv[]) {
while(scanf("%d%d",&n,&m)!=EOF){
num=n;
for(int i=;i<=n;i++) {fa[i]=sum[i]=id[i]=i;cnt[i]=;}
for(int i=;i<=m;i++){
op=read();
if(op==){
p=read();q=read();
unn(p,q);
}else if(op==){
p=read();q=read();
move(p,q);
}else{
p=read();
p=find(id[p]);
printf("%d %d\n",cnt[p],sum[p]);
}
}
} return ;
}