• POJ 1988 Cube Stacking


    Cube Stacking
    Time Limit: 2000MS   Memory Limit: 30000K
    Total Submissions: 24452   Accepted: 8563
    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

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

    Sample Output

    1
    0
    2
    

    Source

    USACO 2004 U S Open
    #include<iostream>
    #include<cstdio>
    #include<cstring>
    #define maxn 30001
    using namespace std;
    int father[maxn],n,m,sum[maxn],cnt[maxn];
    int find(int x){
    	if(x==father[x]) return x;
    	int fa=father[x];
    	father[x]=find(father[x]);
    	cnt[x]+=cnt[fa];
    	return father[x];
    }
    void megre(int x,int y){// x,y是其本身那一坨的祖宗 
    	father[y]=x;
    	cnt[y]=sum[x];
    	sum[x]+=sum[y];
    	sum[y]=0;
    }
    int main()
    {
    	for(int i=1;i<=maxn;i++) father[i]=i,sum[i]=1;
    	char ch[8];
    	int x,y;
    	scanf("%d",&m);
    	while(m--){
    		cin>>ch+1;
    		if(ch[1]=='M'){
    			scanf("%d%d",&x,&y);
    			int rx=find(x),ry=find(y);
    			megre(rx,ry);
    		}
    		else{
    			scanf("%d",&x);
    			int rx=find(x);
    			printf("%d
    ",sum[rx]-cnt[x]-1);
    		}
    	}
    	return 0;
    }
    

    思路:加权并查集例题

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  • 原文地址:https://www.cnblogs.com/suishiguang/p/6293240.html
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