#545653 (C++17) No.1212 Second Path

• 問題: No.1212 Second Path
• ユーザー: beet
• 提出日時: 2020-09-01 16:47:41
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 1,319 ms / 3,000 ms
• コード長: 11,504 bytes
• コンパイル時間: 2,962 ms
• コンパイル使用メモリ: 220,704 KB
• 実行使用メモリ: 106,624 KB
• 最終ジャッジ日時: 2024-04-29 22:25:08
• 合計ジャッジ時間: 47,658 ms
• ジャッジサーバーID （参考情報）: judge5 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	284 ms; 105,600 KB
testcase_01	AC	957 ms; 105,600 KB
testcase_02	AC	952 ms; 105,728 KB
testcase_03	AC	972 ms; 105,600 KB
testcase_04	AC	956 ms; 105,728 KB
testcase_05	AC	986 ms; 105,728 KB
testcase_06	AC	978 ms; 105,984 KB
testcase_07	AC	1,215 ms; 105,600 KB
testcase_08	AC	1,208 ms; 105,600 KB
testcase_09	AC	1,255 ms; 105,600 KB
testcase_10	AC	1,226 ms; 105,600 KB
testcase_11	AC	1,245 ms; 105,600 KB
testcase_12	AC	1,211 ms; 105,600 KB
testcase_13	AC	1,221 ms; 105,728 KB
testcase_14	AC	1,231 ms; 105,600 KB
testcase_15	AC	1,319 ms; 105,600 KB
testcase_16	AC	1,224 ms; 105,600 KB
testcase_17	AC	255 ms; 105,600 KB
testcase_18	AC	229 ms; 105,088 KB
testcase_19	AC	234 ms; 105,088 KB
testcase_20	AC	230 ms; 105,088 KB
testcase_21	AC	198 ms; 105,088 KB
testcase_22	AC	226 ms; 105,088 KB
testcase_23	AC	112 ms; 104,960 KB
testcase_24	AC	133 ms; 105,088 KB
testcase_25	AC	133 ms; 105,088 KB
testcase_26	AC	133 ms; 105,088 KB
testcase_27	AC	124 ms; 105,088 KB
testcase_28	AC	125 ms; 105,088 KB
testcase_29	AC	901 ms; 105,600 KB
testcase_30	AC	877 ms; 105,600 KB
testcase_31	AC	874 ms; 105,600 KB
testcase_32	AC	1,135 ms; 105,344 KB
testcase_33	AC	1,008 ms; 105,216 KB
testcase_34	AC	1,211 ms; 105,472 KB
testcase_35	AC	557 ms; 105,088 KB
testcase_36	AC	1,145 ms; 105,344 KB
testcase_37	AC	1,063 ms; 105,344 KB
testcase_38	AC	1,140 ms; 105,344 KB
testcase_39	AC	921 ms; 105,116 KB
testcase_40	AC	338 ms; 105,088 KB
testcase_41	AC	1,113 ms; 105,344 KB
testcase_42	AC	73 ms; 105,216 KB
testcase_43	AC	72 ms; 104,960 KB
testcase_44	AC	72 ms; 105,088 KB
testcase_45	AC	966 ms; 106,624 KB
testcase_46	AC	933 ms; 106,112 KB
testcase_47	AC	907 ms; 106,240 KB

ソースコード

#define PROBLEM "https://yukicoder.me/problems/22"

#include<bits/stdc++.h>
using namespace std;

#define call_from_test

#ifndef call_from_test
#include <bits/stdc++.h>
using namespace std;
#endif
//BEGIN CUT HERE
template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;}
template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;}
//END CUT HERE
#ifndef call_from_test
signed main(){
  return 0;
}
#endif


#ifndef call_from_test
#include <bits/stdc++.h>
using namespace std;
#endif
//BEGIN CUT HERE
template<typename Vertex, typename Cluster, size_t LIM>
struct TopTree{
  enum Type { Compress, Rake, Edge };
  struct Node{
    Vertex* vs[2];
    Cluster dat;
    Node* p;
    Node* q;
    Node* ch[2];
    bool rev,guard;
    Type type;
    Node():p(nullptr),q(nullptr),rev(false),guard(false){}
  };

  static array<Vertex, LIM> pool_v;
  static array<Node, LIM> pool_c;
  size_t ptr_v,ptr_c;

  Cluster id;
  TopTree():ptr_v(0),ptr_c(0),id(){}

  inline Vertex* create(Vertex v=Vertex()){
    auto t=&pool_v[ptr_v++];
    auto dummy=&pool_v[ptr_v++];
    *t=v;
    link(t,id,dummy);
    return t;
  }

  inline Node* edge(Vertex* u,Cluster w,Vertex* v){
    auto t=&(pool_c[ptr_c++]);
    t->vs[0]=u;t->vs[1]=v;t->dat=w;t->type=Type::Edge;
    return pushup(t);
  }

  inline Node* compress(Node* l,Node* r){
    auto t=&(pool_c[ptr_c++]);
    t->ch[0]=l;t->ch[1]=r;t->type=Type::Compress;
    return pushup(t);
  }

  inline Node* rake(Node* l,Node* r){
    auto t=&(pool_c[ptr_c++]);
    t->ch[0]=l;t->ch[1]=r;t->type=Type::Rake;
    return pushup(t);
  }

  int parent_dir(Node* t){
    Node* p=t->p;
    if(!p) return -1;
    if(p->guard) return -1;
    if(p->ch[0]==t) return 0;
    if(p->ch[1]==t) return 1;
    return -1;
  }

  int parent_dir_ignore_guard(Node* t){
    Node* p=t->p;
    if(!p) return -1;
    if(p->ch[0]==t) return 0;
    if(p->ch[1]==t) return 1;
    return -1;
  }

  inline Node* pushup(Node* const t){
    Node* const l=t->ch[0];
    Node* const r=t->ch[1];

    if(t->type==Type::Compress){
      assert(l->vs[1]==r->vs[0]);
      t->vs[0]=l->vs[0];
      t->vs[1]=r->vs[1];

      Cluster lf=l->dat;
      if(t->q){
        assert(l->vs[1]==t->q->vs[1]);
        lf=Cluster::rake(l->dat,t->q->dat);
      }
      t->dat=Cluster::compress(lf,r->vs[0],r->dat);

      l->vs[1]->handle=t;
    }

    if(t->type==Type::Rake){
      propagate(t);
      assert(l->vs[1]==r->vs[1]);
      t->vs[0]=l->vs[0];
      t->vs[1]=l->vs[1];
      t->dat=Cluster::rake(l->dat,r->dat);
    }else{
      if(!t->p){
        t->vs[0]->handle=t;
        t->vs[1]->handle=t;
      }else if(t->p->type==Type::Compress){
        if(parent_dir(t)==-1)
          t->vs[0]->handle=t;
      }else if(t->p->type==Type::Rake){
        t->vs[0]->handle=t;
      }
    }
    return t;
  }

  inline void toggle(Node* t){
    if(t->type==Type::Edge){
      swap(t->vs[0],t->vs[1]);
      t->dat.toggle();
    }else if(t->type==Type::Compress){
      swap(t->vs[0],t->vs[1]);
      t->dat.toggle();
      t->rev^=true;
    }else if(t->type==Type::Rake){
    }else abort();
  }

  inline void propagate(Node* t){
    if(t->type==Type::Compress){
      if(t->rev){
        assert(t->ch[0] and t->ch[1]);
        swap(t->ch[0],t->ch[1]);
        toggle(t->ch[0]);
        toggle(t->ch[1]);
        t->rev=false;
      }
    }
  }

  void set_toggle(Node* v){
    toggle(v);propagate(v);
  }

  void pushdown(Node* t){
    if(!t) return;
    pushdown(t->p);
    propagate(t);
  }

  void rotate(Node* t,Node* x,size_t dir){
    Node* y=x->p;
    int par=parent_dir_ignore_guard(x);
    propagate(t->ch[dir]);
    x->ch[dir^1]=t->ch[dir];
    t->ch[dir]->p=x;
    t->ch[dir]=x;
    x->p=t;
    t->p=y;
    if(~par) y->ch[par]=t;
    else if(y and y->type==Type::Compress) y->q=t;
    pushup(x);pushup(t);
    if(y and !y->guard) pushup(y);
  }

  void splay(Node* t){
    assert(t->type!=Type::Edge);
    propagate(t);

    while(~parent_dir(t)){
      Node* q=t->p;
      if(q->type!=t->type) break;
      if(~parent_dir(q) and q->p and q->p->type==q->type){
        Node* r=q->p;
        if(r->p) propagate(r->p);
        propagate(r);propagate(q);propagate(t);
        int qt_dir=parent_dir(t);
        int rq_dir=parent_dir(q);
        if(rq_dir==qt_dir){
          rotate(q,r,rq_dir^1);
          rotate(t,q,qt_dir^1);
        }else{
          rotate(t,q,qt_dir^1);
          rotate(t,r,rq_dir^1);
        }
      }else{
        if(q->p) propagate(q->p);
        propagate(q);propagate(t);
        int qt_dir=parent_dir(t);
        rotate(t,q,qt_dir^1);
      }
    }
  }

  Node* expose(Node* t){
    pushdown(t);
    while(true){
      assert(t->type!=Type::Rake);
      if(t->type==Type::Compress) splay(t);
      Node* n=nullptr;
      {
        Node* p=t->p;
        if(!p) break;
        if(p->type==Type::Rake){
          propagate(p);
          splay(p);
          n=p->p;
        }
        if(p->type==Type::Compress){
          propagate(p);
          if(p->guard and ~parent_dir_ignore_guard(t)) break;
          n=p;
        }
      }
      splay(n);
      int dir=parent_dir_ignore_guard(n);
      if(dir==-1 or n->p->type==Type::Rake) dir=0;

      Node* const c=n->ch[dir];
      if(dir==1){
        set_toggle(c);
        set_toggle(t);
      }
      int n_dir=parent_dir(t);
      if(~n_dir){
        Node* const r=t->p;
        propagate(c);
        propagate(r);
        r->ch[n_dir]=c;
        c->p=r;
        n->ch[dir]=t;
        t->p=n;
        pushup(c);pushup(r);pushup(t);pushup(n);
        splay(r);
      }else{
        propagate(c);
        n->q=c;
        c->p=n;
        n->ch[dir]=t;
        t->p=n;
        pushup(c);pushup(t);pushup(n);
      }
      if(t->type==Type::Edge) t=n;
    }
    return t;
  }

  Node* expose(Vertex* v){
    return expose((Node*)(v->handle));
  }

  void soft_expose(Vertex* u,Vertex* v){
    pushdown((Node*)u->handle);
    pushdown((Node*)v->handle);
    Node* rt=expose(u);

    if(u->handle==v->handle){
      if(rt->vs[1]==u or rt->vs[0]==v)
        set_toggle(rt);
      return;
    }

    rt->guard=true;
    Node* soft=expose(v);
    rt->guard=false;

    pushup(rt);
    if(parent_dir(soft)==0) set_toggle(rt);
  }

  void bring(Node* rt){
    Node* rk=rt->q;
    if(!rk){
      Node* ll=rt->ch[0];
      ll->p=nullptr;
      pushup(ll);
    }else if(rk->type==Type::Compress or rk->type==Type::Edge){
      propagate(rk);

      Node* nr=rk;
      set_toggle(nr);
      rt->ch[1]=nr;
      nr->p=rt;
      rt->q=nullptr;

      pushup(nr);pushup(rt);
    }else if(rk->type==Type::Rake){
      propagate(rk);
      while(rk->ch[1]->type==Type::Rake){
        propagate(rk->ch[1]);
        rk=rk->ch[1];
      }
      pushdown(rk);

      rt->guard=true;
      splay(rk);
      rt->guard=false;

      Node* ll=rk->ch[0];
      Node* rr=rk->ch[1];
      propagate(ll);
      set_toggle(rr);

      rt->ch[1]=rr;
      rr->p=rt;

      rt->q=ll;
      ll->p=rt;

      pushup(ll);pushup(rr);pushup(rt);
    }
  }

  Node* link(Vertex* u,Cluster w,Vertex* v){
    if(!u->handle and !v->handle) return edge(u,w,v);

    Node* nnu=(Node*)u->handle;
    Node* nnv=(Node*)v->handle;
    Node* ee=edge(u,w,v);
    Node* ll=nullptr;

    if(!nnv) ll=ee;
    else{
      Node* vv=expose(nnv);
      propagate(vv);
      if(vv->vs[1]==v) set_toggle(vv);
      if(vv->vs[0]==v){
        Node* nv=compress(ee,vv);
        ee->p=nv;
        pushup(ee);
        vv->p=nv;
        pushup(vv);pushup(nv);
        ll=nv;
      }else{
        Node* nv=vv;
        Node* ch=nv->ch[0];
        propagate(ch);
        nv->ch[0]=ee;
        ee->p=nv;
        pushup(ee);

        Node* bt=nv->q;
        Node* rk=nullptr;
        if(bt){
          propagate(bt);
          rk=rake(bt,ch);
          bt->p=rk;
          ch->p=rk;
          pushup(bt);pushup(ch);
        }else{
          rk=ch;
        }
        nv->q=rk;
        rk->p=nv;
        pushup(rk);pushup(nv);
        ll=nv;
      }
    }

    if(nnu){
      Node* uu=expose(nnu);
      propagate(uu);
      if(uu->vs[0]==u) set_toggle(uu);
      if(uu->vs[1]==u){
        Node* tp=compress(uu,ll);
        uu->p=tp;
        ll->p=tp;
        pushup(uu);pushup(ll);pushup(tp);
      }else{
        Node* nu=uu;
        Node* ch=nu->ch[1];
        toggle(ch);
        propagate(ch);

        nu->ch[1]=ll;
        ll->p=nu;
        pushup(ll);

        Node* al=nu->q;
        Node* rk=nullptr;
        if(al){
          propagate(al);
          rk=rake(al,ch);
          al->p=rk;
          ch->p=rk;
          pushup(al);pushup(ch);
        }else{
          rk=ch;
        }
        nu->q=rk;
        rk->p=nu;
        pushup(rk);pushup(nu);
      }
    }
    return ee;
  }

  void cut(Vertex* u,Vertex *v){
    soft_expose(u,v);
    Node* rt=(Node*)u->handle;
    propagate(rt);
    Node* rr=rt->ch[1];
    rr->p=nullptr;
    set_toggle(rr);
    bring(rr);bring(rt);
  }

  Node* path(Vertex* u,Vertex* v){
    assert(u!=v);
    soft_expose(u,v);
    Node* rt=(Node*)u->handle;
    propagate(rt);
    propagate(rt->ch[1]);
    return rt->ch[1]->ch[0];
  }

  void set_vertex(Vertex* u,Vertex v){
    auto t=expose(u);
    *u=v;
    pushup(t);
  }

  void set_edge(Vertex* u,Vertex* v,const Cluster &w){
    auto t=path(u,v);
    assert(t->type==Type::Edge);
    t->dat=w;
    while(t) pushup(t),t=t->p;
  }

  Cluster get_path(Vertex* u,Vertex* v){
    return path(u,v)->dat;
  }

  Cluster get_subtree(Vertex* v){
    return expose(v)->dat;
  }

  // subtree of v when p is root
  Cluster get_subtree(Vertex* p,Vertex* v){
    Node* t=path(p,v);
    Cluster res=t->p->ch[1]->dat;
    res.toggle();
    Node* rk=t->p->q;
    if(t->p->q){
      assert(rk->vs[1]==t->p->ch[1]->vs[0]);
      res=Cluster::rake(res,rk->dat);
    }
    return res;
  }
};
template<typename Vertex, typename Cluster, size_t LIM>
array<Vertex, LIM> TopTree<Vertex, Cluster, LIM>::pool_v;
template<typename Vertex, typename Cluster, size_t LIM>
array<typename TopTree<Vertex, Cluster, LIM>::Node, LIM>
TopTree<Vertex, Cluster, LIM>::pool_c;
//END CUT HERE
#ifndef call_from_test
//INSERT ABOVE HERE
signed main(){
  return 0;
}
#endif

#undef call_from_test

struct Vertex{
  void* handle;
  Vertex():handle(nullptr){}
};

using ll = long long;
const ll INF = 1e9 + 10;
struct Cluster{
  ll len;
  ll lft,rgh,mid,ans;
  Cluster(ll len=INF):len(len),lft(len),rgh(len),mid(INF),ans(INF){}
  void toggle(){
    swap(lft,rgh);
  }
  static Cluster compress(Cluster x,Vertex *,Cluster y){
    Cluster nxt(x.len+y.len);
    nxt.lft=y.lft;
    nxt.rgh=x.rgh;
    nxt.ans=min({x.ans,y.ans,x.mid});
    return nxt;
  }
  static Cluster rake(Cluster x,Cluster y){
    x.mid=min({x.mid,y.mid,y.lft});
    return x;
  }
};


signed main(){
  cin.tie(0);
  ios::sync_with_stdio(0);
  const char newl = '\n';

  const size_t LIM = 1e6;
  TopTree<Vertex, Cluster, LIM> T;

  int n;
  cin>>n;

  vector<Vertex*> vs(n);
  for(int i=0;i<n;i++) vs[i]=T.create();

  for(int i=1;i<n;i++){
    int u,v,w;
    cin>>u>>v>>w;
    u--;v--;
    T.link(vs[u],Cluster(w),vs[v]);
  }

  int q;
  cin>>q;
  for(int i=0;i<q;i++){
    int x,y;
    cin>>x>>y;
    x--;y--;
    auto res=T.get_path(vs[x],vs[y]);
    ll ans=res.ans;

    chmin(ans,T.get_subtree(vs[x],vs[y]).lft);
    chmin(ans,T.get_subtree(vs[x],vs[y]).mid);
    chmin(ans,T.get_subtree(vs[y],vs[x]).lft);
    chmin(ans,T.get_subtree(vs[y],vs[x]).mid);

    if(ans==INF) cout<<-1<<newl;
    else cout<<res.len+2*ans<<newl;
  }
  return 0;
}