[JLOI2014]松鼠的新家

题目地址


易错点:

  • 需要使用栈模拟递归
  • 不开O2无法通过

// luogu-judger-enable-o2
#include<cstdio>
#include<iostream>
#include<stack>
using namespace std;
const int MAXN=1000010,MAXM=1000010;
struct Node{
    int ls,rs,lazy;
    long long sum;
}tr[MAXN];
int nodeCnt=0;
void insert(int &now,int l,int r,int ll,int rr,int x){
    if(!now)now=++nodeCnt;
    int b=min(r,rr)-max(l,ll)+1;
    tr[now].sum+=x*b;
    if(ll<=l&&rr>=r){
        tr[now].lazy+=x;
        return;
    }
    int mid=(l+r)>>1;
    if(ll<=mid)insert(tr[now].ls,l,mid,ll,rr,x);
    if(rr>mid)insert(tr[now].rs,mid+1,r,ll,rr,x);
}
long long query(int now,int l,int r,int ll,int rr){
    if(ll<=l&&rr>=r)return tr[now].sum;
    int mid=(l+r)>>1;
    if(tr[now].lazy){
        if(!tr[now].ls)tr[now].ls=++nodeCnt;
        tr[tr[now].ls].lazy+=tr[now].lazy;
        tr[tr[now].ls].sum+=tr[now].lazy*(mid-l+1);
        if(!tr[now].rs)tr[now].rs=++nodeCnt;
        tr[tr[now].rs].lazy+=tr[now].lazy;
        tr[tr[now].rs].sum+=tr[now].lazy*(r-mid);
        tr[now].lazy=0;
    }
    long long ans=0;
    if(ll<=mid)ans+=query(tr[now].ls,l,mid,ll,rr);
    if(rr>mid)ans+=query(tr[now].rs,mid+1,r,ll,rr);
    return ans;
}
struct Edge{
    int from,to,nxt;
}e[MAXM];
int head[MAXN],edgeCnt=1;
void addEdge(int u,int v){
    e[++edgeCnt].from=u;
    e[edgeCnt].to=v;
    e[edgeCnt].nxt=head[u];
    head[u]=edgeCnt;
}
int dep[MAXN],fa[MAXN],son[MAXN],siz[MAXN];
struct dfs_Node{
    int point;
    int type;
};
void dfs1(int x){
    stack<dfs_Node> s;
    s.push(dfs_Node{x,1});
    while(!s.empty()){
        dfs_Node nowNode=s.top();s.pop();
        int type=nowNode.type,nowPoint=nowNode.point;
        if(type==1){
            dep[nowPoint]=dep[fa[nowPoint]]+1;
    		siz[nowPoint]=1;
    		s.push(dfs_Node{nowPoint,2});
    		for(int i=head[nowPoint];i;i=e[i].nxt){
        		int nowV=e[i].to;
       			if(!dep[nowV]){
        			fa[nowV]=nowPoint;
         			s.push(dfs_Node{nowV,1});
        		}
    		}
        }else if(type==2){
            for(int i=head[nowPoint];i;i=e[i].nxt){
                int nowV=e[i].to;
                if(nowV==fa[nowPoint])continue;
         		siz[nowPoint]+=siz[nowV];
          		if(siz[nowV]>siz[son[nowPoint]])son[nowPoint]=nowV;
    		}
        }
    }
}
int id[MAXN],idCnt=0;
int top[MAXN],root=0;
void dfs2(int x){
    stack<dfs_Node> s;
    s.push(dfs_Node{x,0});
    while(!s.empty()){
        dfs_Node nowNode=s.top();s.pop();
        int nowPoint=nowNode.point,nowType=nowNode.type;
        if(nowType==0){
            id[nowPoint]=++idCnt;
            s.push(dfs_Node{nowPoint,1});
    		if(nowPoint==son[fa[nowPoint]])top[nowPoint]=top[fa[nowPoint]];
    		else top[nowPoint]=nowPoint;
    		if(son[nowPoint])s.push(dfs_Node{son[nowPoint],0});
        }else if(nowType==1){
            for(int i=head[nowPoint];i;i=e[i].nxt){
                int nowV=e[i].to;
      			if(!id[nowV])s.push(dfs_Node{nowV,0});
            }
        }
    }
}
void modify(int u,int v,int x){
    while(top[u]!=top[v]){
        if(dep[top[u]]>dep[top[v]])swap(u,v);
        insert(root,1,MAXN,id[top[v]],id[v],x);
        v=fa[top[v]];
    }
    insert(root,1,MAXN,min(id[u],id[v]),max(id[u],id[v]),x);
}
long long sum(int u,int v){
    long long ans=0;
    while(top[u]!=top[v]){
        if(dep[top[u]]>dep[top[v]])swap(u,v);
        ans+=query(root,1,MAXN,id[top[v]],id[v]);
        v=fa[top[v]];
    }
    ans+=query(root,1,MAXN,min(id[u],id[v]),max(id[u],id[v]));
    return ans;
}
int read(){
    char c;int num,f=1;
    while(c=getchar(),!isdigit(c))if(c=='-')f=-1;num=c-'0';
    while(c=getchar(), isdigit(c))num=num*10+c-'0';
    return f*num;
}
int a[MAXN];
int main(){
    //freopen("in.in","r",stdin);
    //freopen("out.out","w",stdout);
    int n;
    n=read();
    for(int i=1;i<=n;i++)
    	a[i]=read();
    for(int i=1;i<=n-1;i++){
        int x,y;
        x=read();y=read();
        addEdge(x,y);
        addEdge(y,x);
    }
    dfs1(1);
    dfs2(1);
    for(int i=1;i<=n-1;i++){
        modify(a[i],a[i+1],1);
        modify(a[i+1],a[i+1],-1);
    }
    for(int i=1;i<=n;i++){
    	printf("%lld
",query(root,1,MAXN,id[i],id[i]));
    }
    return 0;
}
原文地址:https://www.cnblogs.com/zbsy-wwx/p/11680620.html