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  • POJ 1998 Cube Stacking

    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

    农民约翰和Betsy N玩游戏(1≤N≤30000)相同的方块标记1通过他们从N堆,每个都包含一个单一的立方体。农民John asks Betsy执行P(1≤P = 100000)操作。有两种类型的操作:
    动作和计数。
    *在移动操作,农民John asks Bessie搬上含含立方体堆栈堆栈立方体X Y
    *计数操作,农民John asks Bessie数的多维数据集的数目与立方体,立方体的X X报告值下的堆栈。
    编写一个程序,可以验证游戏的结果。
    输入
    *行1:一个整数,P
    *行2 P + 1:每一行描述了一个合法的操作。第2行描述了第一个操作,每一行以一个“M”开头,用于移动操作或“C”用于计数操作.。对于移动操作,该行还包含两个整数:x和y用于计数操作,该行还包含一个整数:x。
    注意,n值不会出现在输入文件中.。没有移动操作将请求移动堆栈本身。
    输出
    按输入文件相同的顺序打印来自每个计数操作的输出.。

    带权并查集 

    #include<cstdio>
    #define N 30001
    
    int count[N], num[N], pre[N];
    
    int find(int x)
    {
        if(pre[x] == x)
        return x;
        int t = find(pre[x]);
        count[x] += count[pre[x]];
        pre[x] = t;
        return t;
    }
    void Union(int x, int y)
    {
        int i = find(x);
        int j = find(y);
        if(i == j)
        {
            return;
        }
        count[i] = num[j];
        num[j] += num[i];
        pre[i] = j;
    }
    int main()
    {
        int i, x, y, n;
        char s[2];
        scanf("%d",&n);
        for(i = 1; i <= N; i++)
        {
            pre[i] = i;
            num[i] = 1;
            count[i] = 0;
        }
        for(i = 0; i < n; i++)
        {
            scanf("%s",s);
            if(s[0] == 'M')
            {
                scanf("%d%d",&x,&y);
                Union(x,y);
            }
            else if(s[0] == 'C')
            {
                scanf("%d",&x);
                int c = find(x);
                printf("%d
    ",count[x]);
            }
        }
        return 0;
    }
    我们都在命运之湖上荡舟划桨,波浪起伏着而我们无法逃脱孤航。但是假使我们迷失了方向,波浪将指引我们穿越另一天的曙光。
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  • 原文地址:https://www.cnblogs.com/ruojisun/p/6293592.html
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