杭电3635--Dragon Balls（并查集）

Dragon Balls

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 4357    Accepted Submission(s): 1661

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

2010 ACM-ICPC Multi-University Training Contest（19）——Host by HDU

 

 

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题意：N个球放在N个城市（1—n）; T A B  A全部球移到B ; 　　Q　X 输出结果。

　　　求经处理后城市中球数， 球的ID， 球转移次数；（最要命的是找不到思路）；

#include <cstdio>
#include <iostream>
using namespace std;
int father[10001], ran[10001], num[10001] ;      //位置， 节点数， 转换次数；
int i, n;
void init()
{
    for(i=1; i<=n; i++)
    {
        father[i]=i; ran[i]=1; num[i]=0;
    }    
} 
int find(int a)
{
    if(a != father[a])
    {
        int k = father[a];
        father[a] = find(father[a]);
        num[a] += num[k];                      //递归计算转化次数；（每个节点只移动一次， 然后跟随父节点一起移动） 
    }
    return father[a];
}
void mercy(int a, int b)
{
    int q = find(a);
    int p = find(b);
    if(q != p)
    {
        father[q] = p;
        ran[p] += ran[q];
        num[q] = 1; 
    }
}
int main()
{
    int t, m, a, b, c, temp=1; char str[2];
    scanf("%d", &t);
    while(t--)
    {
        printf("Case %d:
",temp++);
        scanf("%d %d", &n, &m);
        init();
        while(m--)
        {
            scanf("%s", str);
            if(str[0] == 'T')
            {
                scanf("%d %d", &a, &b);
                mercy(a, b);
            }
            else
            {
                scanf("%d", &c);
                int k = find(c);
                printf("%d %d %d
", k, ran[k], num[c]);
            }
        }
    }
    return 0;    
}