[Offer收割]编程练习赛108

  直接点权下放到边权,每次查询从dfs序的st[u]+1,ed[v]之间查询,

#include<iostream>
#include<stdio.h>
#include<string.h>
#include<algorithm>
#define lson rt<<1
#define rson rt<<1|1
using namespace std;
const int maxx = 2e5+6;
const int INF = 2e9;
struct node{
  int l,r;
  int w;
}tree[maxx<<2];
int head[maxx],edge[maxx],Next[maxx],ver[maxx],dis[maxx];
int a[maxx],siz[maxx],top[maxx],son[maxx],d[maxx],fa[maxx],id[maxx],rk[maxx];
int p[maxx],pw[maxx],dfn[maxx];
int n,m,tot,uu,vv,cnt,q;
void add(int x,int y,int w){
   ver[++tot]=y;edge[tot]=w;Next[tot]=head[x];head[x]=tot;
   ver[++tot]=x;edge[tot]=w;Next[tot]=head[y];head[y]=tot;
}
void dfs1(int u,int f,int depth)
{
    d[u]=depth;
    fa[u]=f;
    siz[u]=1;
    for (int i=head[u];i;i=Next[i]){
        int v=ver[i];
        if (v==f)continue;
        dis[v]=edge[i];
        dfs1(v,u,depth+1);
        siz[u]+=siz[v];
        if (siz[v]>siz[son[u]])
            son[u]=v;
    }
}
void dfs2(int u,int t)
{
    top[u]=t;
    id[u]=++cnt;
    dfn[cnt]=u;
    if (!son[u])
        return ;
    dfs2(son[u],t);
    for (int i=head[u];i;i=Next[i])
    {
        int v=ver[i];
        if (v!=son[u] && v!=fa[u])
            dfs2(v,v);
    }
}
void buildtree(int rt,int l,int r){
   tree[rt].l=l;
   tree[rt].r=r;
   if (l==r){
     tree[rt].w=dis[dfn[l]];
     return ;
   }
   int mid=(l+r)>>1;
   buildtree(lson,l,mid);
   buildtree(rson,mid+1,r);
   tree[rt].w=min(tree[lson].w,tree[rson].w);
}
int query(int rt,int ql,int qr){
   if (ql>qr)return INF;
   int l=tree[rt].l;
   int r=tree[rt].r;
   if (ql<=l && r<=qr){
      return tree[rt].w;
   }
   int mid=(l+r)>>1;
   if (qr<=mid){
     return query(lson,ql,qr);
   }else if (ql>mid){
     return query(rson,ql,qr);
   }else {
     return min(query(lson,ql,qr),query(rson,ql,qr));
   }
}
int qRange(int x,int y){
  int ans=INF;
  while(top[x]!=top[y]){
     if (d[top[x]]<d[top[y]])swap(x,y);
     ans=min(ans,query(1,id[top[x]],id[x]));
     x=fa[top[x]];
  }
  if (d[x]>d[y])swap(x,y);
  ans=min(ans,query(1,id[x]+1,id[y]));
  return ans;
}
int main(){
  int st;
  while(~scanf("%d%d",&n,&q)){
    tot=0;
    cnt=0;
    memset(head,0,sizeof(head));
    memset(tree,0,sizeof(tree));
    for (int i=1;i<=n;i++){
        scanf("%d%d",&p[i],&pw[i]);
        if (p[i]==0 && pw[i]==0){
            st=i;
        }else {
           add(i,p[i],pw[i]);
        }
    }
    dfs1(st,0,1);
    dis[st]=INF;
    dfs2(st,st);
    buildtree(1,1,cnt);
    while(q--){
        scanf("%d%d",&uu,&vv);
        printf("%d
",qRange(uu,vv));
    }
  }
  return 0;
}
原文地址:https://www.cnblogs.com/bluefly-hrbust/p/11600013.html