P3258 [JLOI2014]松鼠的新家

analysis

问题其实就是，当维尼熊走过一段路径时，将这些点的权值加1，统计完所有路径后输出每个点的权值
维护路径权值和，树剖

code

#include
using namespace std;
#define loop(i,start,end) for(register int i=start;i<=end;++i)
#define anti_loop(i,start,end) for(register int i=start;i>=end;--i)
#define clean(arry,num); memset(arry,num,sizeof(arry));
#define max(a,b) ((a>b)?a:b)
#define min(a,b) ((a
#define asc(a) (a-'A')
#define ll long long
int n,cnt=0;
const int maxn=300000+10;
struct node{
    int e;int nxt;
}edge[maxn<<1];
int head[maxn];
int dep[maxn],son[maxn],fa[maxn],siz[maxn];
int rev[maxn],seg[maxn],top[maxn];
int path[maxn];
ll sum[maxn<<2],lazy[maxn<<2];
inline void addl(int u,int v){
    edge[cnt].e=v;
    edge[cnt].nxt=head[u];
    head[u]=cnt++;
}
template<typename T>void read(T &x)
{
    x=0;char r=getchar();T neg=1;
    while(r>'9'||r<'0'){if(r=='-')neg=-1;r=getchar();}
    while(r>='0'&&r<='9'){x=(x<<3)+(x<<1)+r-'0';r=getchar();}
    x*=neg;
}
void dfs1(int u,int f){
    fa[u]=f;dep[u]=dep[f]+1;
    siz[u]=1;
    for(int i=head[u];i!=-1;i=edge[i].nxt){
        int v=edge[i].e;
        if(v==f)continue;
        dfs1(v,u);
        siz[u]+=siz[v];
        son[u]=((siz[son[u]]<siz[v])?v:son[u]);
    }
}
void dfs2(int u,int fa){
    if(son[u]){
        seg[son[u]]=++seg[0];
        rev[seg[0]]=son[u];
        top[son[u]]=top[u];
        dfs2(son[u],u);
    }
    for(int i=head[u];i!=-1;i=edge[i].nxt){
        int v=edge[i].e;
        if(!top[v]){
            seg[v]=++seg[0];
            rev[seg[0]]=v;
            top[v]=v;
            dfs2(v,u);
        }
    }
}
inline void pushup(int rt){
    sum[rt]=sum[rt<<1]+sum[rt<<1|1];
}
inline void pushdown(int rt,int l,int r){
    if(!lazy[rt])return;
    lazy[rt<<1]+=lazy[rt],lazy[rt<<1|1]+=lazy[rt];
    sum[rt<<1]+=lazy[rt]*(((l+r)>>1)-l+1);
    sum[rt<<1|1]+=lazy[rt]*(r-(((l+r)>>1)+1)+1);
    lazy[rt]=0;
}
void update(int l,int r,int nl,int nr,int rt,int w){
    if(l<=nl&&nr<=r){
        sum[rt]+=(nr-nl+1)*w;
        lazy[rt]+=w;
        return;
    }
    pushdown(rt,nl,nr);
    int mid=nl+((nr-nl)>>1);
    if(mid>=l)update(l,r,nl,mid,rt<<1,w);
    if(mid<r)update(l,r,mid+1,nr,rt<<1|1,w);
    pushup(rt);
}
ll query(int l,int r,int nl,int nr,int rt){
    if(l<=nl&&nr<=r){
        return sum[rt];
    }
    pushdown(rt,nl,nr);
    int mid=nl+((nr-nl)>>1);
    ll _sum=0;
    if(mid>=l)_sum+=query(l,r,nl,mid,rt<<1);
    if(mid<r)_sum+=query(l,r,mid+1,nr,rt<<1|1);
    return _sum;
}
inline void reply(){
    loop(i,1,n-1){
    	int x=path[i],y=path[i+1];
    	int fx=top[x],fy=top[y];
    	while(fx!=fy){
    		if(dep[fx]<dep[fy])swap(fx,fy),swap(x,y);
            update(seg[fx],seg[x],1,seg[0],1,1);
    		x=fa[fx],fx=top[x];
        }
        if(dep[y]>dep[x])swap(x,y);
        update(seg[y],seg[x],1,seg[0],1,1);
        if(i!=1)
            update(seg[path[i]],seg[path[i]],1,seg[0],1,-1);
        if(i==n-1)
            update(seg[path[i+1]],seg[path[i+1]],1,seg[0],1,-1);
        /*loop(i,1,n){
            printf("%lld ",query(seg[i],seg[i],1,seg[0],1));
        }
        printf("\n");*/
    }
    loop(i,1,n){
        printf("%lld\n",query(seg[i],seg[i],1,seg[0],1));
    }
}
int main()
{
    #ifndef ONLINE_JUDGE
    freopen("datain.txt","r",stdin);
    #endif
    clean(head,-1);clean(dep,0);clean(son,0);clean(fa,0);clean(siz,0);clean(rev,0);clean(seg,0);clean(top,0);
    read(n);
    loop(i,1,n)read(path[i]);
    loop(i,1,n-1){
        int xi,yi;
        read(xi),read(yi);
        addl(xi,yi);
        addl(yi,xi);
    }
    dfs1(1,0);
    seg[0]=1;seg[1]=1;rev[1]=1;top[1]=1;
    dfs2(1,0);
    //loop(i,1,n)printf("point:%d dep:%d siz:%d son:%d fa:%d seg:%d rev:%d top:%d\n",i,dep[i],siz[i],son[i],fa[i],seg[i],rev[i],top[i]);
    reply();
    return 0;
}