HDU 1988 cube stacking (Data Structure-query set)

Source: Internet
Author: User

Cube stacking
Time limit:2000 ms   Memory limit:30000 K
Total submissions:18834   Accepted:6535
Case time limit:1000 ms

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

Usaco 2004 u s open


Question:

There are n cubes and N grids, 1 ~ N number. At first, cube I was on the grid I, and each grid had exactly one cube. Now M group operations, m a B indicates that all the cubes in the grid where cube A is located are placed on all the cubes in the grid where cube B is located. C X indicates the number of cubes under cube X.


Solution:

Based on the query, you only need to know the distance from X to the father and the distance from the father to the end to know the distance from X to the end.


Solution code:

#include <iostream>#include <cstdio>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<maxn;i++){        father[i]=i;        cnt[i]=1;        dis[i]=0;    }    while(m-- >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;}



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