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  • bzoj1500: [NOI2005]维修数列 splay

    /**************************************************************
        Problem: 1500
        User: walfy
        Language: C++
        Result: Accepted
        Time:9792 ms
        Memory:26516 kb
    ****************************************************************/
     
    //#pragma comment(linker, "/stack:200000000")
    //#pragma GCC optimize("Ofast,no-stack-protector")
    //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
    //#pragma GCC optimize("unroll-loops")
    #include<bits/stdc++.h>
    #define fi first
    #define se second
    #define mp make_pair
    #define pb push_back
    #define pi acos(-1.0)
    #define ll long long
    #define vi vector<int>
    #define mod 1000000007
    #define ld long double
    #define C 0.5772156649
    #define ls l,m,rt<<1
    #define rs m+1,r,rt<<1|1
    #define pil pair<int,ll>
    #define pli pair<ll,int>
    #define pii pair<int,int>
    #define cd complex<double>
    #define ull unsigned long long
    #define base 1000000000000000000
    #define fio ios::sync_with_stdio(false);cin.tie(0)
     
    using namespace std;
     
    const double eps=1e-6;
    const int N=200000+10,maxn=20000+10,inf=0x3f3f3f3f,INF=0x3f3f3f3f3f3f3f3f;
     
    struct Splay{
        struct Node{
            Node* ch[2];
            int v,sum,ma,le,ri;
            int s,maxx;
            int flip,lazy;
            int cmp(int x)const{
                int d = x - ch[0]->s;
                if(d==1)return -1;
                return d<=0 ? 0:1;
            }
            void maintain()
            {
                s = 1 + ch[0]->s + ch[1]->s;
                maxx = max(max(ch[0]->maxx,ch[1]->maxx),v);
                sum = v + ch[0]->sum + ch[1]->sum;
                le = max(ch[0]->le,ch[0]->sum+v+ch[1]->le);
                if(ch[0]->le == ch[0]->sum)le = max(le, ch[0]->le + v + ch[1]->le);
                ri = max(ch[1]->ri,ch[1]->sum+v+ch[0]->ri);
                if(ch[1]->ri == ch[1]->sum)ri = max(ri, ch[0]->ri + v + ch[1]->ri);
                ma = max(max(ch[0]->ma,ch[1]->ma),ch[0]->ri+ch[1]->le+v);
            }
            void pushdown()
            {
                if(flip)
                {
                    flip=0;
                    swap(ch[0],ch[1]);
                    swap(ch[0]->le,ch[0]->ri);
                    swap(ch[1]->ri,ch[1]->le);
                    ch[0]->flip = !(ch[0]->flip);
                    ch[1]->flip = !(ch[1]->flip);
                }
                if(lazy!=inf)
                {
                    if(ch[0]->s!=0)
                    {
                        ch[0]->v=ch[0]->maxx=lazy;
                        ch[0]->sum=lazy*ch[0]->s;
                        ch[0]->ma=ch[0]->le=ch[0]->ri=max(0,ch[0]->sum);
                    }
                    if(ch[1]->s!=0)
                    {
                        ch[1]->v=ch[1]->maxx=lazy;
                        ch[1]->sum=lazy*ch[1]->s;
                        ch[1]->ma=ch[1]->le=ch[1]->ri=max(0,ch[1]->sum);
                    }
                    ch[0]->lazy=ch[1]->lazy=lazy;
                    lazy=inf;
                }
            }
        };
        Node* null;
        void Rotate(Node* &o,int d)
        {
            Node* k = o->ch[d^1];
            o->ch[d^1] = k->ch[d];
            k->ch[d] = o;
            o->maintain();k->maintain();
            o = k;
        }
        void splay(Node* &o,int k)
        {
            o->pushdown();
            int d = o->cmp(k);
            if(d==1)k -= o->ch[0]->s + 1;//利用二叉树性质
            if(d!=-1)
            {
                Node* p = o->ch[d];
                p->pushdown();
                int d2 = p->cmp(k);
                int k2 = (d2==0 ? k:k-p->ch[0]->s-1);
                if(d2!=-1)
                {
                    splay(p->ch[d2],k2);
                    if(d==d2)Rotate(o,d^1);
                    else Rotate(o->ch[d],d);
                }
                Rotate(o,d^1);
            }
        }
        Node* Merge(Node* left,Node* right)
        {
            splay(left,left->s);//把排名最大的数splay到根
            left->ch[1] = right;
            left->maintain();
            return left;
        }
        void split(Node* o,int k,Node* &left,Node* &right)
        {
            splay(o,k);//把排名为k的节点splay到根,右侧子树所有节点排名比k大,左侧小
            right = o->ch[1];
            o->ch[1] = null;
            left = o;
            left->maintain();
        }
        Node *root,*left,*right;
        void init(int sz)
        {
            null=new Node;
            null->s=null->sum=null->le=null->ri=0;
            null->maxx=-inf;
            root=new Node;
            scanf("%d",&root->v);
            root->flip=0;root->lazy=inf;
            root->sum=root->maxx=root->v;
            root->ma=root->ri=root->le=max(0,root->v);
            root->ch[0]=root->ch[1]=null;
            root->maintain();
            Node* p;
            for(int i=2;i<=sz;i++)
            {
                p=new Node;
                scanf("%d",&p->v);
                p->s=p->flip=0;
                p->lazy=inf;
                p->sum=p->maxx=p->v;
                p->ma=p->le=p->ri=max(0,p->v);
                p->ch[0]=root,p->ch[1]=null;
                root=p;
                root->maintain();
            }
        }
        void ins(int pos,int x)
        {
            Node *mid;mid=new Node();
            mid->v=mid->sum=mid->maxx=x;
            mid->flip=0,mid->lazy=inf;
            mid->ma=mid->le=mid->ri=max(x,0);
            mid->ch[0]=mid->ch[1]=null;
            mid->maintain();
            if(pos==0)root=Merge(mid,root);
            else if(pos==root->s)root=Merge(root,mid);
            else
            {
                split(root,pos,left,right);
                root=Merge(left,Merge(mid,right));
    //            print(root);
            }
        }
        void del(int l,int r)
        {
            if(l==1&&r==root->s)dele(root),root=null;
            else if(l==1&&r!=root->s)
            {
                split(root,r,left,right);
                root=right;dele(left);
            }
            else if(l!=1&&r==root->s)
            {
                split(root,l-1,left,right);
                root=left;dele(right);
            }
            else
            {
                split(root,r,left,right);
                Node *mid;
                split(left,l-1,left,mid);
                root=Merge(left,right);
                dele(mid);
            }
        }
        void dele(Node *&o)
        {
            if(o->ch[0]!=null)dele(o->ch[0]);
            if(o->ch[1]!=null)dele(o->ch[1]);
            delete(o);
        }
        int change(int l,int r,int x,int op)
        {
            int ans=0;
            if(l==1&&r==root->s)
            {
                if(op==1)
                {
                    root->lazy=root->v=root->maxx=x;
                    root->sum=root->s*x;
                    if(x>0)root->ma=root->le=root->ri=root->sum;
                    else root->ma=root->le=root->ri=0;
                }
                else if(op==2)
                {
                    swap(root->le,root->ri);
                    root->flip^=1;
                }
                else ans=root->sum;
            }
            else if(l==1&&r!=root->s)
            {
                split(root,r,left,right);
                if(op==1)
                {
                    left->lazy=left->v=left->maxx=x;
                    left->sum=left->s*x;
                    if(x>0)left->ma=left->le=left->ri=left->sum;
                    else left->ma=left->le=left->ri=0;
                }
                else if(op==2)
                {
                    swap(left->le,left->ri);
                    left->flip^=1;
                }
                else ans=left->sum;
                root=Merge(left,right);
            }
            else if(l!=1&&r==root->s)
            {
                split(root,l-1,left,right);
                if(op==1)
                {
                    right->lazy=right->v=right->maxx=x;
                    right->sum=right->s*x;
                    if(x>0)right->ma=right->le=right->ri=right->sum;
                    else right->ma=right->le=right->ri=0;
                }
                else if(op==2)
                {
                    swap(right->le,right->ri);
                    right->flip^=1;
                }
                else ans=right->sum;
                root=Merge(left,right);
            }
            else
            {
                split(root,r,left,right);
                Node *mid;
                split(left,l-1,left,mid);
                if(op==1)
                {
                    mid->lazy=mid->v=mid->maxx=x;
                    mid->sum=mid->s*x;
                    if(x>0)mid->ma=mid->le=mid->ri=mid->sum;
                    else mid->ma=mid->le=mid->ri=0;
                }
                else if(op==2)
                {
                    swap(mid->le,mid->ri);
                    mid->flip^=1;
                }
                else ans=mid->sum;
                root=Merge(left,Merge(mid,right));
            }
            return ans;
        }
        void print(Node *o)
        {
            o->pushdown();
            printf("%d %d %d %d %d %d
    ",o->ch[0]->v,o->v,o->ch[1]->v,o->ma,o->le,o->ri);
            if(o->ch[0]!=null)print(o->ch[0]);
            if(o->ch[1]!=null)print(o->ch[1]);
        }
    }sp;
    int main()
    {
        int n,m;
        scanf("%d%d",&n,&m);
        sp.init(n);
    //    sp.print(sp.root);
        while(m--)
        {
            char op[20];
            scanf("%s",op);
            if(op[0]=='I')
            {
                int pos,x,y;
                scanf("%d%d",&pos,&x);
                for(int i=0;i<x;i++)
                {
                    scanf("%d",&y);
                    sp.ins(pos+i,y);
                }
            }
            else if(op[0]=='D')
            {
                int pos,x;
                scanf("%d%d",&pos,&x);
                sp.del(pos,pos+x-1);
            }
            else if(op[0]=='M'&&op[2]=='K')
            {
                int pos,x,c;
                scanf("%d%d%d",&pos,&x,&c);
                sp.change(pos,pos+x-1,c,1);
            }
            else if(op[0]=='R')
            {
                int pos,x;
                scanf("%d%d",&pos,&x);
                sp.change(pos,pos+x-1,0,2);
            }
            else if(op[0]=='G')
            {
                int pos,x;
                scanf("%d%d",&pos,&x);
                printf("%d
    ",x>0?sp.change(pos,pos+x-1,0,3):0);
            }
            else printf("%d
    ",sp.root->maxx<0?sp.root->maxx:sp.root->ma);
        }
    //    puts("-----------");
    //    sp.print(sp.root);
        return 0;
    }
    /********************
    9 5
    2 -6 3 5 1 -5 -3 6 3
    GET-SUM 5 4
    MAX-SUM
    INSERT 8 3 -5 7 2
    DELETE 12 1
    MAX-SUM
    ********************/
    
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  • 原文地址:https://www.cnblogs.com/acjiumeng/p/9210917.html
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