• HYSBZ 1503 郁闷的出纳员 伸展树


      题目链接: https://vjudge.net/problem/26193/origin

      题目描述: 中文题面.......

      解题思路: 伸展树, 需要伸展树的模板, 突然发现自己昨天看到的模板不是太好, 现在又新找了一个,  很简练, 自己将模板的实现从头到尾看了一遍, 觉得数组实现的实在是非常的巧妙, 然后自己照着敲了一遍, 边敲边看, 崩掉了.....肯定是哪里手残了, 没有必要浪费时间去改了, 有那时间不如看点别的

      代码: 

    #include <iostream>
    #include <cstdio>
    #include <cstring>
    #include <cmath>
    #include <cstdlib>
    #include <string>
    #include <vector>
    #include <limits>
    #include <algorithm>
    
    using namespace std;
    
    typedef long long LL;
    
    const int Max = 100010;
    
    const int INF = 0x3f3f3f3f;
    
    struct SplayTree
    {
        int num[Max],pre[Max],next[Max][2],key[Max];
    
        int root,Size;
    
        void PushUp(int x) //向上更新,计算以自己为根节点的树中节点的个数
        {
            num[x] = num[next[x][0]] + num[next[x][1]]+1;
        }
        void Rotate(int x,int kind)//伸展操作
        {
            int y = pre[x];
            int z = pre[y];
            next[y][!kind] = next[x][kind];
            pre[next[x][kind]] = y;
            next[z][next[z][1]==y] = x;
            pre[x] = z;
            next[x][kind] = y;
            pre[y] = x;
            PushUp(y);
            PushUp(x);
        }
        void Splay(int x,int goal)
        {
            if(x!=goal)
            {
                while(pre[x]!=goal)
                {
                    if(next[pre[x]][0] == x)
                    {
                        Rotate(x,1);
                    }
                    else Rotate(x,0);
                }
            }
            if(!goal) root = x;
        }
        void NewNode(int &x,int y,int val)
        {
            x = ++Size;
            num[x] = 1;
            pre[x] = y;
            next[x][0] = next[x][1] = 0;
            key[x] = val;
            next[y][val>key[y]] = x;
        }
        void Insert(int val)//插入节点
        {
            int x,y;
            for(x = root,y = 0;x;x = next[x][val>key[x]])
            {
                y = x;
                num[x]++;
            }
            NewNode(x,y,val);
            Splay(x,0);
        }
        int Search(int val) //查询比小于等于val的节点的位置
        {
            int res,x;
            for(res = 0, x = root;x;x = next[x][val>key[x]])
            {
                if(key[x] >= val && key[res] >= key[x])
                {
                    res = x;
                }
            }
            return res;
        }
        int Select(int k)//查找第k大。
        {
            int x  = root;
            k = num[root]-k;
            for(x = root; num[next[x][0]]+1!=k;)
            {
                if(num[next[x][0]]+1<k)
                {
                    k -= num[next[x][0]]+1;
                    x = next[x][1];
                }
                else x = next[x][0];
            }
            Splay(x,0);
    
            return key[x];
        }
        void Init()
        {
            root = Size = 0;
            num[0] = next[0][0] = next[0][1] = pre[0] ;
            key[0] = INF;
            Insert(INF);
        }
    }Tr;
    
    int main()
    {
        int q,Mi,diff,ans,data;
        char op[2];
        while(~scanf("%d %d",&q,&Mi))
        {
            Tr.Init();
            diff = ans = 0;
            while(q--)
            {
                scanf("%s %d",op,&data);
                if(op[0] == 'I')
                {
                    if(data >= Mi)
                    {
                        Tr.Insert(data-Mi+diff);
                    }
                }
                else if(op[0] == 'A')
                {
                    diff-=data;
                }
                else if(op[0] == 'S')
                {
                    diff += data;
                    Tr.Splay(Tr.Search(diff),0);
                    ans+=Tr.num[Tr.next[Tr.root][0]];
                    Tr.num[Tr.root] -= Tr.num[Tr.next[Tr.root][0]];
                    Tr.next[Tr.root][0] = 0;
                }
                else
                {
                    if(data>=Tr.num[Tr.root])
                    {
                        printf("-1
    ");
                    }
                    else
                    {
                        printf("%d
    ",Tr.Select(data)+Mi-diff);
                    }
                }
            }
            printf("%d
    ",ans);
        }
        return 0;
    }
    View Code

      思考: 自己数据结构的知识是真的需要好好的加强, 然后自己应该照着组合数学的题单搞一搞了

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  • 原文地址:https://www.cnblogs.com/FriskyPuppy/p/7553970.html
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