• p2596 书架(Treap)


    写平衡树修锅快修到死系列
    我太蠢了
    其实是平衡树裸体裸题
    插入,删除,交换前驱或后继,查询rank和kth
    维护一个pos数组,表示第i个书的编号
    然后注意许许多多的细节,没了

    #include <cstdio>
    #include <algorithm>
    #include <cstring>
    using namespace std;
    struct Node{
        int lson,rson,ran,val,w,sz;
    }Treap[80000<<2];
    int pos[80100],Lx,Rx,Nodecnt,n,m,root;
    void pushup(int o){
        Treap[o].sz=Treap[Treap[o].lson].sz+Treap[Treap[o].rson].sz+1;
    }
    void rotateR(int &o){
        int k=Treap[o].lson;
        Treap[o].lson=Treap[k].rson;
        Treap[k].rson=o;
        Treap[k].sz=Treap[o].sz;
        pushup(o);
        o=k;
    }
    void rotateL(int &o){
        int k=Treap[o].rson;
        Treap[o].rson=Treap[k].lson;
        Treap[k].lson=o;
        Treap[k].sz=Treap[o].sz;
        pushup(o);
        o=k;
    }
    int NewNode(int cx,int wl){
        ++Nodecnt;
        Treap[Nodecnt].sz=1;
        Treap[Nodecnt].lson=Treap[Nodecnt].rson=0;
        Treap[Nodecnt].ran=rand();
        Treap[Nodecnt].val=wl;
        Treap[Nodecnt].w=cx;
        return Nodecnt;
    }
    void insert(int &o,int cx,int wl){
        if(!o){
            o=NewNode(cx,wl);
            return;
        }
        Treap[o].sz++;
        if(wl<=Treap[o].val){
            insert(Treap[o].lson,cx,wl);
            if(Treap[Treap[o].lson].ran<Treap[o].ran)
                rotateR(o);
            // pushup(o);
        }
        else{
            insert(Treap[o].rson,cx,wl);
            if(Treap[Treap[o].rson].ran<Treap[o].ran)
                rotateL(o);
            // pushup(o);
        }
    }
    void erase(int &o,int wl){
        if(!o)
            return;
        if(Treap[o].val==wl){
            if(Treap[o].lson==0||Treap[o].rson==0){
                o=Treap[o].lson+Treap[o].rson;
                return;
            }
            if(Treap[Treap[o].lson].ran<Treap[Treap[o].rson].ran){
                rotateR(o);
                erase(o,wl);
            }
            else{
                rotateL(o);
                erase(o,wl);
            }
            pushup(o);
            return;
        }
        Treap[o].sz--;
        if(wl<=Treap[o].val){
            erase(Treap[o].lson,wl);
            pushup(o);
        }
        else{
            erase(Treap[o].rson,wl);
            pushup(o);
        }
    }
    int ranks(int o,int wl){
        if(!o)
            return 0;
        if(wl==Treap[o].val){
            return Treap[Treap[o].lson].sz+1;
        }
        if(wl<=Treap[o].val){
            return ranks(Treap[o].lson,wl);
        }   
        else{
            return ranks(Treap[o].rson,wl)+Treap[Treap[o].lson].sz+1;
        } 
    }
    int kth(int k,int o){
        if(k==0)
            return 0;
        if(k==Treap[Treap[o].lson].sz+1)
            return Treap[o].w;
        if(k<=Treap[Treap[o].lson].sz)
            return kth(k,Treap[o].lson);
        else
            return kth(k-Treap[Treap[o].lson].sz-1,Treap[o].rson);
    }
    int pre(int wl){
        return kth(ranks(root,wl)-1,root);
    }
    int back(int wl){
        return kth(ranks(root,wl)+1,root);
    }
    int main(){
        Lx=1;
        // freopen("7.in","r",stdin);
        // freopen("test.out","w",stdout);
        srand(19260817);
        scanf("%d %d",&n,&m);
        for(int i=1;i<=n;i++){
            int x;
            scanf("%d",&x);
            ++Rx;
            pos[x]=Rx;
            insert(root,x,Rx);
        }
        char opt[20];
        int sx,tx;
        for(int i=1;i<=m;i++){
            scanf("%s",opt);
            if(opt[0]=='T'){
                scanf("%d",&sx);
                erase(root,pos[sx]);
                Lx--;
                pos[sx]=Lx;
                insert(root,sx,Lx);
            }
            else if(opt[0]=='B'){
                scanf("%d",&sx);
                erase(root,pos[sx]);
                Rx++;
                pos[sx]=Rx;
                insert(root,sx,Rx);
            }
            else if(opt[0]=='I'){
                scanf("%d %d",&sx,&tx);
                if(tx==0)
                    continue;
                if(tx==1){
                    int need=back(pos[sx]);
                    erase(root,pos[sx]);
                    erase(root,pos[need]);
                    swap(pos[sx],pos[need]);
                    insert(root,sx,pos[sx]);
                    insert(root,need,pos[need]);   
                }
                if(tx==-1){
                    int need=pre(pos[sx]);
                    erase(root,pos[sx]);
                    erase(root,pos[need]);
                    swap(pos[sx],pos[need]);
                    insert(root,sx,pos[sx]);
                    insert(root,need,pos[need]);
                }
            }
            else if(opt[0]=='A'){
                scanf("%d",&sx);
                printf("%d
    ",ranks(root,pos[sx])-1);
            }
            else if(opt[0]=='Q'){
                scanf("%d",&sx);
                printf("%d
    ",kth(sx,root));
            }
        }
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/dreagonm/p/10029180.html
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