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HDU 1988 Cube Stacking (数据结构-并查集)
阅读量:4625 次
发布时间:2019-06-09

本文共 2342 字,大约阅读时间需要 7 分钟。

Cube Stacking
Time Limit: 2000MS   Memory Limit: 30000K
Total Submissions: 18834   Accepted: 6535
Case Time Limit: 1000MS

Description

Farmer John and Betsy are playing a game with N (1 <= N <= 30,000)identical cubes labeled 1 through N. They start with N stacks, each containing a single cube. Farmer John asks Betsy to perform P (1<= P <= 100,000) operation. There are two types of operations: 
moves and counts. 
* In a move operation, Farmer John asks Bessie to move the stack containing cube X on top of the stack containing cube Y. 
* In a count operation, Farmer John asks Bessie to count the number of cubes on the stack with cube X that are under the cube X and report that value. 
Write a program that can verify the results of the game. 

Input

* Line 1: A single integer, P 
* Lines 2..P+1: Each of these lines describes a legal operation. Line 2 describes the first operation, etc. Each line begins with a 'M' for a move operation or a 'C' for a count operation. For move operations, the line also contains two integers: X and Y.For count operations, the line also contains a single integer: X. 
Note that the value for N does not appear in the input file. No move operation will request a move a stack onto itself. 

Output

Print the output from each of the count operations in the same order as the input file. 

Sample Input

6M 1 6C 1M 2 4M 2 6C 3C 4

Sample Output

102

Source

题目大意:

有N个立方体和N个格子,1~N编号,一开始i立方体在i号格子上,每个格子刚好1个立方体。现在m组操作,M a b表示将a号立方体所在的格子的全部立方体放在b号立方体所在的格子的全部立方体上面。C x表示询问x号立方体下面的立方体的个数。

解题思路:

在并查集的基础上,只需要知道x到父亲的距离以及父亲到底的距离就知道x到底的距离。

解题代码:

#include 
#include
using namespace std;const int maxn=31000;int father[maxn],cnt[maxn],dis[maxn];int find(int x){ if(father[x]!=x){ int tmp=father[x]; father[x]=find(father[x]); dis[x]+=dis[tmp]; } return father[x];}void combine(int x,int y){ father[x]=y; dis[x]+=cnt[y]; cnt[y]+=cnt[x];}int main(){ int m; scanf("%d",&m); for(int i=0;i
0){ char ch; cin>>ch; if(ch=='M'){ int a,b; scanf("%d%d",&a,&b); if(find(a)!=find(b)) combine(find(a),find(b)); }else{ int x; scanf("%d",&x); find(x); printf("%d\n",dis[x]); } } return 0;}

转载于:https://www.cnblogs.com/toyking/p/3893161.html

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