結果
| 問題 | No.2163 LCA Sum Query |
| コンテスト | |
| ユーザー |
 Taiki0715
|
| 提出日時 | 2026-06-09 09:49:00 |
| 言語 | C++23 (gcc 15.2.0 + boost 1.89.0) |
| 結果 |
AC
|
| 実行時間 | 421 ms / 6,000 ms |
| コード長 | 30,605 bytes |
| 記録 | |
| コンパイル時間 | 3,877 ms |
| コンパイル使用メモリ | 361,184 KB |
| 実行使用メモリ | 23,564 KB |
| 最終ジャッジ日時 | 2026-06-09 09:49:19 |
| 合計ジャッジ時間 | 18,873 ms |
|
ジャッジサーバーID （参考情報） |
judge1_1 / judge2_0 |
| 純コード判定待ち |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 40 |
ソースコード
#include <bits/stdc++.h>
using namespace std;
using ll=long long;
using ull=unsigned long long;
using P=pair<ll,ll>;
template<typename T>using minque=priority_queue<T,vector<T>,greater<T>>;
template<typename T>bool chmax(T &a,const T &b){return (a<b?(a=b,true):false);}
template<typename T>bool chmin(T &a,const T &b){return (a>b?(a=b,true):false);}
template<typename T1,typename T2>istream &operator>>(istream &is,pair<T1,T2>&p){is>>p.first>>p.second;return is;}
template<typename T1,typename T2,typename T3>istream &operator>>(istream &is,tuple<T1,T2,T3>&a){is>>std::get<0>(a)>>std::get<1>(a)>>std::get<2>(a);return is;}
template<typename T,size_t n>istream &operator>>(istream &is,array<T,n>&a){for(auto&i:a)is>>i;return is;}
template<typename T>istream &operator>>(istream &is,vector<T> &a){for(auto &i:a)is>>i;return is;}
template<typename T1,typename T2>void operator++(pair<T1,T2>&a,int n){a.first++,a.second++;}
template<typename T1,typename T2>void operator--(pair<T1,T2>&a,int n){a.first--,a.second--;}
template<typename T>void operator++(vector<T>&a,int n){for(auto &i:a)i++;}
template<typename T>void operator--(vector<T>&a,int n){for(auto &i:a)i--;}
#define overload3(_1,_2,_3,name,...) name
#define rep1(i,n) for(int i=0;i<(int)(n);i++)
#define rep2(i,l,r) for(int i=(int)(l);i<(int)(r);i++)
#define rep(...) overload3(__VA_ARGS__,rep2,rep1)(__VA_ARGS__)
#define reps(i,l,r) rep2(i,l,r)
#define all(x) x.begin(),x.end()
#define pcnt(x) __builtin_popcountll(x)
#define fin(x) return cout<<(x)<<'\n',static_cast<void>(0)
#define yn(x) cout<<((x)?"Yes\n":"No\n")
#define uniq(x) sort(all(x)),x.erase(unique(all(x)),x.end())
template<typename T>
inline int fkey(vector<T>&z,T key){return lower_bound(z.begin(),z.end(),key)-z.begin();}
ll myceil(ll a,ll b){return (a+b-1)/b;}
template<typename T,size_t n,size_t id=0>
auto vec(const int (&d)[n],const T &init=T()){
if constexpr (id<n)return vector(d[id],vec<T,n,id+1>(d,init));
else return init;
}
#ifdef LOCAL
#include<debug.h>
#define SWITCH(a,b) (a)
#else
#define debug(...) static_cast<void>(0)
#define debugg(...) static_cast<void>(0)
#define SWITCH(a,b) (b)
template<typename T1,typename T2>ostream &operator<<(ostream &os,const pair<T1,T2>&p){os<<p.first<<' '<<p.second;return os;}
#endif
struct Timer{
clock_t start;
Timer(){
start=clock();
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout<<fixed<<setprecision(16);
}
inline double now(){return (double)(clock()-start)/1000;}
#ifdef LOCAL
~Timer(){
cerr<<"time:";
cerr<<now();
cerr<<"ms\n";
}
#endif
}timer;
void SOLVE();
int main(){
int testcase=1;
//cin>>testcase;
for(int i=0;i<testcase;i++){
SOLVE();
}
}
#include<type_traits>
struct has_update_impl{
template<typename T>
static auto check(T&&x)->decltype(x.update(),std::true_type{});
template<typename T>
static auto check(...)->std::false_type;
};
template<typename T>
struct has_update:public decltype(has_update_impl::check<T>(std::declval<T>())){};
template<typename T>
inline constexpr bool has_update_v=has_update<T>::value;
struct has_push_impl{
template<typename T>
static auto check(T&&x)->decltype(x.push(),std::true_type{});
template<typename T>
static auto check(...)->std::false_type;
};
template<typename T>
struct has_push:public decltype(has_push_impl::check<T>(std::declval<T>())){};
template<typename T>
inline constexpr bool has_push_v=has_push<T>::value;
struct has_middle_impl{
template<typename T>
static auto check(T&&x)->decltype(x.middle,std::true_type{});
template<typename T>
static auto check(...)->std::false_type;
};
template<typename T>
struct has_middle:public decltype(has_middle_impl::check<T>(std::declval<T>())){};
template<typename T>
inline constexpr bool has_middle_v=has_middle<T>::value;
template<typename T,bool no_push=false>
void splay(T*nd){
if constexpr(has_push_v<T>&&!no_push)nd->push();
while(nd->par){
T *p=nd->par;
T *pp=p->par;
if constexpr(has_push_v<T>&&!no_push){
if(pp)pp->push();
p->push();
nd->push();
}
if(p->left==nd){
if(pp){
if(pp->left==p){
nd->par=pp->par;
if(pp->par){
if constexpr(has_middle_v<T>){
if(pp->par->middle==pp)nd->par->middle=nd;
else if(pp->par->left==pp)nd->par->left=nd;
else if(pp->par->right==pp)nd->par->right=nd;
}
else{
if(pp->par->left==pp)nd->par->left=nd;
else if(pp->par->right==pp)nd->par->right=nd;
}
}
pp->left=p->right;
if(pp->left)pp->left->par=pp;
p->left=nd->right;
if(p->left)p->left->par=p;
nd->right=p;
p->par=nd;
p->right=pp;
pp->par=p;
if constexpr(has_update_v<T>)pp->update(),p->update(),nd->update();
continue;
}
else if(pp->right==p){
nd->par=pp->par;
if(pp->par){
if constexpr(has_middle_v<T>){
if(pp->par->middle==pp)nd->par->middle=nd;
else if(pp->par->left==pp)nd->par->left=nd;
else if(pp->par->right==pp)nd->par->right=nd;
}
else{
if(pp->par->left==pp)nd->par->left=nd;
else if(pp->par->right==pp)nd->par->right=nd;
}
}
p->left=nd->right;
if(p->left)p->left->par=p;
pp->right=nd->left;
if(pp->right)pp->right->par=pp;
nd->left=pp;
pp->par=nd;
nd->right=p;
p->par=nd;
if constexpr(has_update_v<T>)pp->update(),p->update(),nd->update();
continue;
}
}
nd->par=pp;
if(pp){
if constexpr(has_middle_v<T>){
if(pp->middle==p)pp->middle=nd;
else if(pp->left==p)pp->left=nd;
else if(pp->right==p)pp->right=nd;
}
else{
if(pp->left==p)pp->left=nd;
else if(pp->right==p)pp->right=nd;
}
}
p->left=nd->right;
if(p->left)p->left->par=p;
nd->right=p;
p->par=nd;
if constexpr(has_update_v<T>)p->update(),nd->update();
break;
}
else if(p->right==nd){
if(pp){
if(pp->left==p){
nd->par=pp->par;
if(pp->par){
if constexpr(has_middle_v<T>){
if(pp->par->middle==pp)nd->par->middle=nd;
else if(pp->par->left==pp)nd->par->left=nd;
else if(pp->par->right==pp)nd->par->right=nd;
}
else{
if(pp->par->left==pp)nd->par->left=nd;
else if(pp->par->right==pp)nd->par->right=nd;
}
}
p->right=nd->left;
if(p->right)p->right->par=p;
pp->left=nd->right;
if(pp->left)pp->left->par=pp;
nd->left=p;
p->par=nd;
nd->right=pp;
pp->par=nd;
if constexpr(has_update_v<T>)pp->update(),p->update(),nd->update();
continue;
}
else if(pp->right==p){
nd->par=pp->par;
if(pp->par){
if constexpr(has_middle_v<T>){
if(pp->par->middle==pp)nd->par->middle=nd;
else if(pp->par->left==pp)nd->par->left=nd;
else if(pp->par->right==pp)nd->par->right=nd;
}
else{
if(pp->par->left==pp)nd->par->left=nd;
else if(pp->par->right==pp)nd->par->right=nd;
}
}
pp->right=p->left;
if(pp->right)pp->right->par=pp;
p->right=nd->left;
if(p->right)p->right->par=p;
nd->left=p;
p->par=nd;
p->left=pp;
pp->par=p;
if constexpr(has_update_v<T>)pp->update(),p->update(),nd->update();
continue;
}
}
nd->par=pp;
if(pp){
if constexpr(has_middle_v<T>){
if(pp->middle==p)pp->middle=nd;
else if(pp->left==p)pp->left=nd;
else if(pp->right==p)pp->right=nd;
}
else{
if(pp->left==p)pp->left=nd;
else if(pp->right==p)pp->right=nd;
}
}
p->right=nd->left;
if(p->right)p->right->par=p;
nd->left=p;
p->par=nd;
if constexpr(has_update_v<T>)p->update(),nd->update();
break;
}
else break;
}
}
template<typename T>
[[nodiscard]]T* near(T *nd,decltype(T::key)k){
while(true){
if(k<nd->key){
if constexpr(has_push_v<T>)nd->push();
if(nd->left)nd=nd->left;
else{
splay<T,true>(nd);
return nd;
}
}
else if(nd->key<k){
if constexpr(has_push_v<T>)nd->push();
if(nd->right)nd=nd->right;
else{
splay<T,true>(nd);
return nd;
}
}
else{
splay<T,true>(nd);
return nd;
}
}
return nullptr;
}
template<typename T>
[[nodiscard]]T* get_k(T *nd,decltype(T::sz)k){
while(true){
if constexpr(has_push_v<T>)nd->push();
decltype(T::sz) lsz=nd->left?nd->left->sz:0;
if(lsz==k)break;
else if(k<lsz)nd=nd->left;
else{
nd=nd->right;
k-=1+lsz;
}
}
splay<T,true>(nd);
return nd;
}
template<typename T>
[[nodiscard]]T* merge(T* l,T *r){
if(!l)return r;
if(!r)return l;
while(r->left){
if constexpr(has_push_v<T>)r->push();
r=r->left;
}
if constexpr(has_push_v<T>)r->push();
splay<T,true>(r);
r->left=l;
l->par=r;
if constexpr(has_update_v<T>)r->update();
return r;
}
template<typename T,bool correct_parent=true>
[[nodiscard]]T* left_most(T*nd){
T nil;
T *rnd=&nil;
while(nd->left){
if constexpr(has_push_v<T>)nd->push();
T *c=nd->left;
if(!c->left){
rnd->left=nd;
if constexpr(has_update_v<T>||correct_parent)nd->par=rnd;
rnd=rnd->left;
nd=c;
}
else{
if constexpr(has_push_v<T>)c->push();
nd->left=c->right;
c->right=nd;
if constexpr(has_update_v<T>||correct_parent){
if(nd->left)nd->left->par=nd;
nd->par=c;
}
if constexpr(has_update_v<T>)nd->update();
if constexpr(has_update_v<T>||correct_parent)c->par=rnd;
rnd->left=c;
nd=c->left;
rnd=rnd->left;
}
}
if constexpr(has_push_v<T>)nd->push();
rnd->left=nd->right;
nd->right=nil.left;
nil.left=nil.right=nullptr;
if constexpr(has_update_v<T>||correct_parent){
if(rnd->left)rnd->left->par=rnd;
if(nd->right)nd->right->par=nd;
nd->par=nullptr;
}
if constexpr(has_update_v<T>){
if(rnd!=&nil){
while(rnd){
rnd->update();
rnd=rnd->par;
}
}
}
return nd;
}
template<typename T,bool correct_parent=true>
[[nodiscard]]T* right_most(T*nd){
T nil;
T *lnd=&nil;
while(nd->right){
if constexpr(has_push_v<T>)nd->push();
T *c=nd->right;
if(!c->right){
lnd->right=nd;
if constexpr(has_update_v<T>||correct_parent)nd->par=lnd;
lnd=lnd->right;
nd=c;
}
else{
if constexpr(has_push_v<T>)c->push();
nd->right=c->left;
c->left=nd;
if constexpr(has_update_v<T>||correct_parent){
if(nd->right)nd->right->par=nd;
nd->par=c;
}
if constexpr(has_update_v<T>){
nd->update();
}
if constexpr(has_update_v<T>||correct_parent)c->par=lnd;
lnd->right=c;
nd=c->right;
lnd=lnd->right;
}
}
if constexpr(has_push_v<T>)nd->push();
lnd->right=nd->left;
nd->left=nil.right;
nil.left=nil.right=nullptr;
if constexpr(has_update_v<T>||correct_parent){
if(lnd->right)lnd->right->par=lnd;
if(nd->left)nd->left->par=nd;
nd->par=nullptr;
}
if constexpr(has_update_v<T>){
if(lnd!=&nil){
while(lnd){
lnd->update();
lnd=lnd->par;
}
}
}
return nd;
}
template<typename T>
void tt_expose(T*nd){
while(true){
splay(nd);
if(nd->right){
nd->right->par=nullptr;
T *light=new T();
light->vertex=false;
light->middle=nd->right;
if(nd->middle){
light->left=nd->middle;
light->left->par=light;
}
nd->middle=light;
light->par=nd;
nd->right->par=light;
nd->right=nullptr;
if constexpr(has_update_v<T>)light->update(),nd->update();
}
if(!nd->par)break;
T *pon=nd->par;
splay(pon);
splay(pon->par);
if constexpr(has_push_v<T>)pon->push();
if(pon->par->right){
pon->middle=pon->par->right;
pon->middle->par=pon;
pon->par->right=nd;
nd->par=pon->par;
if constexpr(has_update_v<T>)pon->update(),pon->par->update();
}
else{
pon->par->right=nd;
nd->par=pon->par;
T *l=pon->left,*r=pon->right;
if(l&&r){
l->par=nullptr;
r->par=nullptr;
l=merge(l,r);
l->par=pon->par;
l->par->middle=l;
}
else if(!l&&!r){
pon->par->middle=nullptr;
}
else{
if(!l)std::swap(l,r);
l->par=pon->par;
l->par->middle=l;
}
if constexpr(has_update_v<T>)nd->par->update();
delete(pon);
}
}
}
template<typename T>
void tt_link(T*u,T*v){
tt_expose(u);
tt_expose(v);
v->reverse();
u->right=v;
v->par=u;
if constexpr(has_update_v<T>)u->update();
}
template<typename T>
void tt_cut(T*u,T*v){
tt_expose(u);
u->reverse();
tt_expose(v);
v->left=nullptr;
u->par=nullptr;
if constexpr(has_update_v<T>)v->update();
}
template<typename DP>
struct TopTreeDP{
private:
using Data=typename DP::Data;
using Path=typename DP::Path;
using Point=typename DP::Point;
struct node{
node *left,*right,*par,*middle;
bool vertex,rev;
Data d;
Path sum,mus;
Point p;
node():left(nullptr),right(nullptr),par(nullptr),middle(nullptr),vertex(true),rev(false){}
node(Data d):left(nullptr),right(nullptr),par(nullptr),middle(nullptr),vertex(true),rev(false),d(d),sum(d),mus(d),p(DP::add_edge(d)){}
void reverse(){
rev^=1;
std::swap(sum,mus);
std::swap(left,right);
}
void push(){
if(rev){
if(left)left->reverse();
if(right)right->reverse();
}
rev=false;
}
void update(){
if(vertex){
if(middle)sum=mus=DP::add_vertex(middle->p,d);
else sum=mus=d;
if(left)sum=DP::compress(left->sum,sum),mus=DP::compress(mus,left->mus);
if(right)sum=DP::compress(sum,right->sum),mus=DP::compress(right->mus,mus);
}
else{
p=DP::add_edge(middle->sum);
if(left)p=DP::rake(left->p,p);
if(right)p=DP::rake(p,right->p);
}
}
};
std::vector<node>nds;
public:
TopTreeDP(){}
explicit TopTreeDP(int n):nds(n){}
void link(int u,int v){
assert(0<=u&&u<(int)nds.size());
assert(0<=v&&v<(int)nds.size());
assert(u!=v);
reroot(v);
tt_expose(&nds[u]);
nds[u].right=&nds[v];
nds[v].par=&nds[u];
nds[u].update();
}
//rを根としてuとpar(u)をcut
void cut(int r,int u){
assert(0<=r&&r<(int)nds.size());
assert(0<=u&&u<(int)nds.size());
assert(r!=u);
reroot(r);
tt_expose(&nds[u]);
assert(nds[u].left);
node *lnd=nds[u].left;
lnd->par=nullptr;
nds[u].left=nullptr;
nds[u].update();
}
void set(int i,Data d){
assert(0<=i&&i<(int)nds.size());
tt_expose(&nds[i]);
nds[i].d=d;
nds[i].update();
}
void reroot(int r){
assert(0<=r&&r<(int)nds.size());
tt_expose(&nds[r]);
nds[r].reverse();
}
Path get(int r){
assert(0<=r&&r<(int)nds.size());
reroot(r);
return nds[r].sum;
}
Data raw(int v){
assert(0<=v&&v<(int)nds.size());
return nds[v].d;
}
};
template<typename T>
struct csr_array{
private:
std::vector<int>ptr;
std::vector<T>dat;
public:
using iterator=typename std::vector<T>::iterator;
using const_iterator=typename std::vector<T>::const_iterator;
struct csr{
iterator l,r;
iterator begin(){return l;}
iterator end(){return r;}
int size()const{return r-l;}
T &operator[](int i)const{return l[i];}
};
struct const_csr{
const_iterator l,r;
const_iterator begin(){return l;}
const_iterator end(){return r;}
int size()const{return r-l;}
const T &operator[](int i)const{return l[i];}
};
csr_array():ptr{0}{}
csr_array(int n,const std::vector<std::pair<int,T>>&a):ptr(n+1),dat(a.size()){
for(const auto&[k,v]:a)ptr[k]++;
for(int i=1;i<=n;i++)ptr[i]+=ptr[i-1];
for(int i=std::ssize(a);i--;)dat[--ptr[a[i].first]]=a[i].second;
}
explicit csr_array(int n,const std::vector<int>&a):ptr(n+1),dat(a.size()){
static_assert(std::is_same_v<T,int>);
for(const int&x:a)ptr[x]++;
for(int i=1;i<=n;i++)ptr[i]+=ptr[i-1];
for(int i=std::ssize(a);i--;)dat[--ptr[a[i]]]=i;
}
csr operator[](int i){return csr{dat.begin()+ptr[i],dat.begin()+ptr[i+1]};}
const_csr operator[](int i)const{return const_csr{dat.begin()+ptr[i],dat.begin()+ptr[i+1]};}
iterator begin(){return dat.begin();}
iterator end(){return dat.end();}
const_iterator begin()const{return dat.begin();}
const_iterator end()const{return dat.end();}
int size()const{return std::ssize(ptr)-1;}
};
template<typename T=int>
struct Edge{
int from,to;
T weight;
int index;
Edge(int from_,int to_,T weight_=T(),int index_=-1):from(from_),to(to_),weight(weight_),index(index_){}
Edge():from(-1),to(-1),weight(),index(-1){}
friend std::ostream &operator<<(std::ostream &os,const Edge&e){
os<<'[';
os<<"from:"<<e.from;
os<<"to:"<<e.to;
os<<"weight:"<<e.weight;
os<<"index:"<<e.index;
os<<']';
return os;
}
};
template<typename T=int>
struct Tree{
int n,r;
std::vector<Edge<T>>edge;
std::vector<Edge<T>>g;
std::vector<int>ptr;
struct tree_range{
using iterator=typename std::vector<Edge<T>>::iterator;
iterator l,r;
iterator begin()const{return l;}
iterator end()const{return r;}
int size()const{return r-l;}
bool empty()const{return !size();}
Edge<T> &operator[](int i)const{return l[i];}
};
struct const_tree_range{
using iterator=typename std::vector<Edge<T>>::const_iterator;
iterator l,r;
iterator begin()const{return l;}
iterator end()const{return r;}
int size()const{return r-l;}
bool empty()const{return !size();}
const Edge<T> &operator[](int i)const{return l[i];}
};
explicit Tree(int n_):n(n_){
edge.reserve(n-1);
}
Tree():n(0){}
Tree(int n_,const std::vector<Edge<T>>&e,bool dir=false):n(n_),r(-1),edge(e){
if(!dir)build();
else{
std::vector<bool>seen(n,false);
ptr.resize(n+1);
for(const Edge<T>&i:edge)ptr[i.from]++,ptr[i.to]++,seen[i.to]=true;
for(int i=1;i<=n;i++)ptr[i]+=ptr[i-1];
r=std::find(seen.begin(),seen.end(),false)-seen.begin();
assert(ptr[n]==n*2-2);
g.resize(ptr[n]);
for(const Edge<T>&i:edge)g[--ptr[i.to]]=Edge<T>(i.to,i.from,i.weight,i.index);
for(const Edge<T>&i:edge)g[--ptr[i.from]]=i;
}
}
template<bool weighted=false,bool index=1>
void read(){
for(int i=0;i<n-1;i++){
int u,v;
T w=T();
std::cin>>u>>v;
if constexpr(index)u--,v--;
if constexpr(weighted)std::cin>>w;
else w=1;
edge.emplace_back(u,v,w,i);
}
build();
}
template<bool index=1>
void readp(){
ptr.resize(n+1);
for(int i=1;i<n;i++){
int p;
std::cin>>p;
if constexpr(index)p--;
edge.emplace_back(p,i,1,i-1);
ptr[p]++;
ptr[i]++;
}
for(int i=1;i<=n;i++)ptr[i]+=ptr[i-1];
g.resize(n*2-2);
for(auto&&[u,v,w,i]:edge)g[--ptr[v]]=Edge<T>(v,u,w,i);
for(int i=0;i<n-1;i++){
g[--ptr[edge[i].from]]=edge[i];
}
r=0;
}
void add_edge(int u,int v){edge.emplace_back(u,v,1,edge.size());}
void add_edge(int u,int v,T w){edge.emplace_back(u,v,w,edge.size());}
void add_edge(int u,int v,T w,int idx){edge.emplace_back(u,v,w,idx);}
inline bool is_directed()const{return r!=-1;}
void build(){
r=-1;
ptr.assign(n+1,0);
for(auto&&[u,v,w,i]:edge)ptr[u]++,ptr[v]++;
for(int i=1;i<=n;i++)ptr[i]+=ptr[i-1];
assert(ptr[n]==n*2-2);
g.resize(n*2-2);
for(auto&&[u,v,w,i]:edge){
g[--ptr[u]]=Edge(u,v,w,i);
g[--ptr[v]]=Edge(v,u,w,i);
}
}
void remove_parent(int root=0){
if(r!=-1){
if(r!=root)build();
else return;
}
edge.resize(n-1);
std::vector<int>par(n,-1);
par[root]=-1;
std::queue<int>que;
que.push(root);
while(!que.empty()){
int x=que.front();
que.pop();
for(int i=ptr[x];i<ptr[x+1];){
const Edge<T>&e=g[i];
if(e.to!=par[x]){
par[e.to]=x;
assert(e.index<n-1);
edge[e.index]=e;
que.push(e.to);
i++;
}
else{
if(i+1==ptr[x+1])break;
std::swap(g[i],g[ptr[x+1]-1]);
}
}
}
r=root;
}
void re_index(){
assert((int)edge.size()==n-1);
for(int i=0;i<n-1;i++)edge[i].index=i;
build();
if(r!=-1)remove_parent(r);
}
std::vector<int>bfs_order()const{
assert(is_directed());
std::vector<int>bfs(n);
int p=0,q=0;
bfs[q++]=root();
while(p<q){
int x=bfs[p++];
for(const Edge<T>&e:(*this)[x])bfs[q++]=e.to;
}
return bfs;
}
std::vector<int>dfs_order()const{
assert(is_directed());
std::vector<int>res;
res.reserve(n);
std::vector<int>st(n);
int p=0;
st[p++]=root();
while(p){
int x=st[--p];
res.push_back(x);
p+=(*this)[x].size();
for(const Edge<T>&e:(*this)[x])st[--p]=e.to;
p+=(*this)[x].size();
}
return res;
}
std::vector<int>rbfs_order()const{
std::vector<int>bfs=bfs_order();
std::reverse(bfs.begin(),bfs.end());
return bfs;
}
void hld(){
assert(is_directed());
std::vector<int>sub(n);
for(int x:rbfs_order()){
sub[x]=1;
int mx=-1;
for(Edge<T>&e:(*this)[x]){
sub[x]+=sub[e.to];
if(mx<sub[e.to]){
mx=sub[e.to];
std::swap((*this)[x][0],e);
}
}
}
}
std::pair<std::vector<int>,std::vector<int>>in_out_order(){
assert(is_directed());
std::vector<int>in(n),out(n);
int p=0;
auto dfs=[&](auto self,int x)->void {
in[x]=p++;
for(const Edge<T>&e:(*this)[x]){
self(self,e.to);
}
out[x]=p;
};
dfs(dfs,root());
return std::make_pair(in,out);
}
std::pair<T,std::vector<int>>diameter()const{
assert(!is_directed());
static constexpr T inf=std::numeric_limits<T>::max();
std::vector<T>dst(n,inf);
dst[0]=0;
std::vector<int>que(n);
int p=0,q=1;
que[0]=0;
while(p<q){
int x=que[p++];
for(const Edge<T>&e:(*this)[x])if(dst[e.to]==inf){
dst[e.to]=dst[x]+e.weight;
que[q++]=e.to;
}
}
int u=std::max_element(dst.begin(),dst.end())-dst.begin();
std::fill(dst.begin(),dst.end(),inf);
dst[u]=0;
p=0,q=1;
que[0]=u;
while(p<q){
int x=que[p++];
for(const Edge<T>&e:(*this)[x])if(dst[e.to]==inf){
dst[e.to]=dst[x]+e.weight;
que[q++]=e.to;
}
}
int v=std::max_element(dst.begin(),dst.end())-dst.begin();
T weight=dst[v];
std::vector<int>res;
while(u!=v){
res.push_back(v);
for(const Edge<T>&e:(*this)[v])if(dst[e.to]<dst[v]){
v=e.to;
break;
}
}
res.push_back(u);
return std::make_pair(weight,res);
}
int size()const{return n;}
tree_range operator[](int i){return tree_range{g.begin()+ptr[i],g.begin()+ptr[i+1]-(r!=-1&&r!=i)};}
const_tree_range operator[](int i)const{return const_tree_range{g.begin()+ptr[i],g.begin()+ptr[i+1]-(r!=-1&&r!=i)};}
const Edge<T>& get_edge(int i)const{return edge[i];}
inline int parent(int i)const{return i==r?-1:g[ptr[i+1]-1].to;}
const Edge<T>& parent_edge(int i)const{
assert(r!=-1&&i!=r);
return g[ptr[i+1]-1];
}
inline int root()const{return r;}
typename std::vector<Edge<T>>::iterator begin(){return edge.begin();}
typename std::vector<Edge<T>>::iterator end(){return edge.end();}
typename std::vector<Edge<T>>::const_iterator begin()const{return edge.begin();}
typename std::vector<Edge<T>>::const_iterator end()const{return edge.end();}
};
struct LevelAncestor{
csr_array<int>bin;
std::vector<int>pos,dep,dfs;
LevelAncestor(){}
template<typename T>
LevelAncestor(Tree<T> t){
int n=t.size();
pos.resize(n),dep.resize(n);
std::vector<int>bin_v;
bin_v.reserve(n);
dfs=t.dfs_order();
for(int x:dfs){
pos[x]=bin_v.size();
bin_v.push_back(dep[x]);
for(const Edge<T>&e:t[x])dep[e.to]=dep[x]+1;
}
bin=csr_array<int>(*std::max_element(bin_v.begin(),bin_v.end())+1,bin_v);
}
int query(int u,int d)const{
if(dep[u]<d)return -1;
return dfs[*std::prev(std::upper_bound(bin[dep[u]-d].begin(),bin[dep[u]-d].end(),pos[u]))];
}
};
#include<concepts>
template<typename T>
constexpr std::enable_if_t<std::numeric_limits<T>::digits<=32,int>msb(T n){return n==0?-1:31-__builtin_clz(n);}
template<typename T>
constexpr std::enable_if_t<(std::numeric_limits<T>::digits>32),int>msb(T n){return n==0?-1:63-__builtin_clzll(n);}
template<typename T>
constexpr std::enable_if_t<std::numeric_limits<T>::digits<=32,int>lsb(T n){return n==0?-1:__builtin_ctz(n);}
template<typename T>
constexpr std::enable_if_t<(std::numeric_limits<T>::digits>32),int>lsb(T n){return n==0?-1:__builtin_ctzll(n);}
template<typename T>
constexpr std::enable_if_t<std::is_integral_v<T>,T>floor_pow2(T n){return n==0?0:T(1)<<msb(n);}
template<typename T>
constexpr std::enable_if_t<std::is_integral_v<T>,T>ceil_pow2(T n){return n<=1?1:T(1)<<(msb(n-1)+1);}
template<std::integral T>
constexpr T safe_div(T a,T b){return a/b-(a%b&&(a^b)<0);}
template<std::integral T>
constexpr T safe_ceil(T a,T b){return a/b+(a%b&&(a^b)>0);}
template<typename M,int L=5>
struct SparseTable{
using S=typename M::S;
private:
std::vector<S>dat,prefix,suffix;
std::vector<std::vector<S>>sp;
public:
SparseTable(){}
SparseTable(std::vector<S>a):dat(a){
int n=a.size();
n=(n+(1<<L)-1)&~((1<<L)-1);
a.resize(n,M::e());
prefix=suffix=a;
std::vector<S>d2(n>>L,M::e());
for(int i=0;i<(int)d2.size();i++){
for(int j=0;j<(1<<L);j++)d2[i]=M::op(d2[i],a[(i<<L)+j]);
}
for(int i=0;i<(n>>L);i++){
for(int j=1;j<(1<<L);j++)prefix[(i<<L)+j]=M::op(prefix[(i<<L)+j-1],prefix[(i<<L)+j]);
}
for(int i=(n>>L)-1;i>=0;i--){
for(int j=(1<<L)-1;j>=1;j--)suffix[(i<<L)+j-1]=M::op(suffix[(i<<L)+j-1],suffix[(i<<L)+j]);
}
int d=(d2.size()==1?1:32-__builtin_clz(d2.size()-1));
sp.resize(d,d2);
for(int i=1;i<d;i++){
int w=1<<i;
for(int j=w;j<=(int)d2.size();j+=w*2){
for(int k=j-2;k>=j-w;k--)sp[i][k]=M::op(d2[k],sp[i][k+1]);
int r=std::min<int>(d2.size(),j+w);
for(int k=j+1;k<r;k++)sp[i][k]=M::op(sp[i][k-1],d2[k]);
}
}
}
S prod(int l,int r)const{
if(l==r)return M::e();
r--;
int lid=l>>L,rid=r>>L;
if(lid==rid){
S ret=M::e();
for(int i=l;i<=r;i++)ret=M::op(ret,dat[i]);
return ret;
}
else{
lid++;
rid--;
S mid=M::e();
if(lid==rid)mid=sp[0][lid];
else if(lid<rid){
int s=msb(lid^rid);
mid=M::op(sp[s][lid],sp[s][rid]);
}
return M::op(suffix[l],M::op(mid,prefix[r]));
}
}
};
struct LowestCommonAncestor{
private:
struct p_min{
using S=std::pair<int,int>;
static S op(const S&x,const S&y){return x.first<y.first?x:y;}
static S e(){return std::make_pair(std::numeric_limits<int>::max(),-1);}
};
SparseTable<p_min>sp;
std::vector<int>idx;
public:
template<typename T>
LowestCommonAncestor(const Tree<T>&t):idx(t.size()){
assert(t.is_directed());
int r=t.root();
int ord=0;
std::vector<int>dep(t.size());
dep[r]=0;
std::vector<std::pair<int,int>>init(t.size()*2-1);
auto dfs=[&](auto&&self,int x)->void {
idx[x]=ord;
init[ord++]=std::make_pair(dep[x],x);
for(const auto&e:t[x]){
dep[e.to]=dep[e.from]+1;
self(self,e.to);
init[ord++]=std::make_pair(dep[x],x);
}
};
dfs(dfs,r);
sp=SparseTable<p_min>(init);
}
LowestCommonAncestor(){}
int query(int u,int v)const{
if(u==v)return u;
if(idx[u]>idx[v])std::swap(u,v);
return sp.prod(idx[u],idx[v]+1).second;
}
};
struct JumponTree{
LowestCommonAncestor lca;
LevelAncestor la;
template<typename T>
JumponTree(Tree<T>t){
t.remove_parent();
lca=LowestCommonAncestor(t);
la=LevelAncestor(std::move(t));
}
int jump(int u,int v,int d)const{
int l=lca.query(u,v);
if(la.dep[u]+la.dep[v]-la.dep[l]*2<d)return -1;
if(la.dep[u]-la.dep[l]>=d)return la.query(u,d);
else return la.query(v,la.dep[u]+la.dep[v]-la.dep[l]*2-d);
}
};
struct DP{
using Data=pair<int,bool>;
struct Path{
int cnt_all;
ll sum;
ll top;
Path(){}
Path(Data d):cnt_all(d.second),sum(0),top(d.second?d.first+1:0){}
};
struct Point{
int cnt;
ll dualcnt;
ll sum;
};
static Path add_vertex(Point p,Data d){
Path res;
res.cnt_all=p.cnt;
res.sum=(d.first+1)*p.dualcnt+p.sum;
res.top=ll(d.first+1)*(d.second+p.cnt);
if(d.second){
res.cnt_all++;
res.sum+=ll(d.first+1)*p.cnt;
}
return res;
}
static Point add_edge(Path p){
Point res;
res.cnt=p.cnt_all;
res.dualcnt=0;
res.sum=p.sum;
return res;
}
static Path compress(Path lhs,Path rhs){
Path res;
res.cnt_all=lhs.cnt_all+rhs.cnt_all;
res.sum=lhs.sum+rhs.sum+lhs.top*rhs.cnt_all;
res.top=lhs.top+rhs.top;
return res;
}
static Point rake(Point lhs,Point rhs){
Point res;
res.cnt=lhs.cnt+rhs.cnt;
res.dualcnt=lhs.dualcnt+rhs.dualcnt+(ll)lhs.cnt*rhs.cnt;
res.sum=lhs.sum+rhs.sum;
return res;
}
};
void SOLVE(){
int n,q;
cin>>n>>q;
TopTreeDP<DP>dp(n);
rep(i,n)dp.set(i,{i,0});
Tree t(n);
t.read();
t.remove_parent();
vector<int>dep(n);
for(int x:t.bfs_order()){
for(auto e:t[x])dep[e.to]=dep[x]+1;
}
JumponTree jt(t);
for(auto e:t)dp.link(e.from,e.to);
auto yaru=[&](int u,int v)->int {
int l=jt.lca.query(u,v);
int d=dep[u]+dep[v]-dep[l]*2;
return jt.jump(u,v,d-1);
};
while(q--){
int u,r,v;
cin>>u>>r>>v;
u--,r--,v--;
auto now=dp.raw(u);
now.second^=1;
dp.set(u,now);
if(r!=v){
r=yaru(r,v);
dp.cut(r,v);
cout<<dp.get(v).sum<<'\n';
dp.link(r,v);
}
else cout<<dp.get(v).sum<<'\n';
}
}