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Main » 2013 » November » 21 » 树链剖分T1—SPOJ DISQUERY
1:49 PM
树链剖分T1—SPOJ DISQUERY
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<set>
#include<algorithm>
#include<map>
#include<vector>
#include<queue>
#include<iostream>
#include<string>
#include<cmath>
#define N 200010
#define lc(x) (x<<1)
#define rc(x) ((x<<1)+1)
#define FOR(i,a,b) for(i=(a);i<=(b);i++)
#define ROF(i,a,b) for(i=(a);i>=(b);i--)
typedef long long LL;
using namespace std;
struct Info{int Max,Min;};
struct node{int l,r;Info info;};
int last[N],pre[N],e[N],W[N];
int w[N],pos[N],siz[N],son[N],fa[N],dep[N],top[N],b[N];
Info a[N];
int t1,t2,t3,n,q,len=0,idx=0;
void add(int x,int y,int z)
{pre[++len]=last[x];last[x]=len;e[len]=y;W[len]=z;}
int swap(int &x,int &y){int t=x;x=y;y=t;}
Info calc(Info a,Info b)
{
  Info res;
  res.Min=min(a.Min,b.Min);
  res.Max=max(a.Max,b.Max);
  return res;
}
struct segtree
{
  node tree[4*N];
  void update(int x){tree[x].info=calc(tree[lc(x)].info,tree[rc(x)].info);} 
  void build(int x,int L,int R)
  {
    tree[x].l=L;tree[x].r=R;int mid=(L+R)>>1;
    if (L==R) {tree[x].info=a[L];return;}
    build(lc(x),L,mid);build(rc(x),mid+1,R);
    update(x);
  }
  Info query(int x,int L,int R)
  {
    if (tree[x].l==L&&tree[x].r==R) return tree[x].info;
    int mid=(tree[x].l+tree[x].r)>>1;
    if (R<=mid) return query(lc(x),L,R);
    if (L>mid) return query(rc(x),L,R);
    return calc(query(lc(x),L,mid),query(rc(x),mid+1,R));
  }
}Tree;
void DFS1(int x,int par,int Dep)
{
  dep[x]=Dep;siz[x]=1;son[x]=0;
  for(int p=last[x];p;p=pre[p])
  {
    int v=e[p];
    if (par==v) continue;
    fa[v]=x;b[v]=W[p];
    DFS1(v,x,Dep+1);
    if (son[x]==0||siz[v]>siz[son[x]]) son[x]=v;
    siz[x]+=siz[v];
  }
}
void DFS2(int x,int Top)
{
  w[x]=++idx;top[x]=Top;    
  a[idx].Min=a[idx].Max=b[x];
  if (son[x]!=0) DFS2(son[x],Top);
  for(int p=last[x];p;p=pre[p])
  {
    int v=e[p];
    if (v==fa[x]||v==son[x]) continue;
    DFS2(v,v);
  }
}
Info getans(int va,int vb)
{
  int f1=top[va],f2=top[vb];
  Info tmp;tmp.Max=0;tmp.Min=1e9;
  while (f1!=f2)
  {
    if (dep[f1]<dep[f2]){swap(f1,f2);swap(va,vb);}
    tmp=calc(tmp,Tree.query(1,w[f1],w[va]));
    va=fa[f1];f1=top[va];
  }
  if (va==vb) return tmp;
  if (dep[va]>dep[vb]) swap(va,vb);
  return calc(tmp,Tree.query(1,w[son[va]],w[vb]));
}
int main()
{
  scanf("%d",&n);int i;
  FOR(i,1,n-1) 
  {
    scanf("%d%d%d",&t1,&t2,&t3);
    add(t1,t2,t3);add(t2,t1,t3);
  }
  DFS1(1,-1,1);
  DFS2(1,1);
  Tree.build(1,1,n);
  scanf("%d",&q);
  FOR(i,1,q)
  {
    scanf("%d%d",&t1,&t2);
    Info ans=getans(t1,t2);
    printf("%d %d\n",ans.Min,ans.Max);
  }
}
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