hdu 3635 Dragon Balls(并查集应用)

本文介绍了一个基于并查集的数据结构算法实现,用于解决一个类似游戏中龙珠位置追踪的问题。该算法能够有效地处理龙珠在不同城市间的转移,并能快速查询指定龙珠的位置及转移次数。
Problem Description
Five hundred years later, the number of dragon balls will increase unexpectedly, so it's too difficult for Monkey King(WuKong) to gather all of the dragon balls together. 

 



His country has N cities and there are exactly N dragon balls in the world. At first, for the ith dragon ball, the sacred dragon will puts it in the ith city. Through long years, some cities' dragon ball(s) would be transported to other cities. To save physical strength WuKong plans to take Flying Nimbus Cloud, a magical flying cloud to gather dragon balls. 
Every time WuKong will collect the information of one dragon ball, he will ask you the information of that ball. You must tell him which city the ball is located and how many dragon balls are there in that city, you also need to tell him how many times the ball has been transported so far.

 

 
Input
The first line of the input is a single positive integer T(0 < T <= 100). 
For each case, the first line contains two integers: N and Q (2 < N <= 10000 , 2 < Q <= 10000).
Each of the following Q lines contains either a fact or a question as the follow format:
  T A B : All the dragon balls which are in the same city with A have been transported to the city the Bth ball in. You can assume that the two cities are different.
  Q A : WuKong want to know X (the id of the city Ath ball is in), Y (the count of balls in Xth city) and Z (the tranporting times of the Ath ball). (1 <= A, B <= N)

 

 
Output
For each test case, output the test case number formated as sample output. Then for each query, output a line with three integers X Y Z saparated by a blank space.
 

 

 

Sample Input
2
3 3
T 1 2
T 3 2
Q 2
3 4
T 1 2
Q 1
T 1 3
Q 1

 

 

 

Sample Output
Case 1: 2 3 0 
Case 2: 2 2 1 3 3 2

 

 

 

Author
possessor WC
 

 

Source
 
并查集,和前面的hdu2818很相似

主要是记录移动次数,其实每个根结点都是最多移动一次的,所以记录移动次数把自己的加上父亲结点的就是移动总数了

 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cstring>
 4 #include<queue>
 5 #include<stdlib.h>
 6 using namespace std;
 7 #define N 10006
 8 int n,q;
 9 int fa[N];
10 int mov[N];
11 int num[N];
12 void init(){
13     for(int i=0;i<N;i++){
14         fa[i]=i;
15         num[i]=1;
16         mov[i]=0;
17     }
18 }
19 int find(int son){
20     if(fa[son]!=son){
21         int t=find(fa[son]);
22         mov[son]+=mov[fa[son]];
23         fa[son]=t;
24     }
25     return fa[son];
26     //return fa[x]==x?x:fa[x]=find(fa[x]);
27 }
28 void merge(int x,int y){
29     int root1=find(x);
30     int root2=find(y);
31     if(root1==root2)return;
32     fa[root1]=root2;
33     mov[root1]=1;
34     num[root2]+=num[root1];
35 }
36 int main()
37 {
38     int ac=0;
39     int t;
40     scanf("%d",&t);
41     while(t--){
42         init();
43         scanf("%d%d",&n,&q);
44         
45         char s[3];
46         int x,y;
47         printf("Case %d:\n",++ac);
48         for(int i=0;i<q;i++){
49             scanf("%s",s);
50             if(s[0]=='T'){
51                 scanf("%d%d",&x,&y);
52                 merge(x,y);
53             }
54             else{
55                 scanf("%d",&x);
56                 int city=find(x);
57                 printf("%d %d %d\n",city,num[city],mov[x]);
58             }
59         }
60     }
61     return 0;
62 }
View Code

 

转载于:https://www.cnblogs.com/UniqueColor/p/4800653.html

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