結果

問題 No.2676 A Tourist
ユーザー t9unkubj
提出日時 2024-10-02 02:14:39
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2,505 ms / 5,000 ms
コード長 12,115 bytes
コンパイル時間 5,084 ms
コンパイル使用メモリ 289,408 KB
実行使用メモリ 79,492 KB
最終ジャッジ日時 2024-10-02 02:15:18
合計ジャッジ時間 34,630 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 31
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#ifdef t9unkubj
#include"template.h"
//#include"template_no_debug.h"
#else
#undef _GLIBCXX_DEBUG
#pragma GCC optimize("O3")
#define dbg(...) 199958
using namespace std;
#include<bits/stdc++.h>
std::ostream& operator<<(std::ostream& os, __int128 num) {
    if (num == 0) {
        os << "0";
        return os;
    }
    if (num < 0) {
        os << "-";
        num = -num;
    }
    std::string result;
    while (num > 0) {
        result += '0' + static_cast<int>(num % 10);
        num /= 10;
    }
    std::reverse(result.begin(), result.end());
    os << result;
    return os;
}
std::istream& operator>>(std::istream& is, __int128& num) {
    std::string input;
    is >> input;
    bool negative = false;
    num = 0;
    if (input[0] == '-') {
        negative = true;
        input = input.substr(1);
    }
    for (char c : input) {
        if (c >= '0' && c <= '9') {
            num = num * 10 + (c - '0');
        } else {
            is.setstate(std::ios::failbit);
            return is;
        }
    }
    if (negative) {
        num = -num;
    }
    return is;
}
using uint=unsigned;
using ll=long long;
using ull=unsigned long long;
using ld=long double;
using pii=pair<int,int>;
using pll=pair<ll,ll>;
template<class T>using vc=vector<T>;
template<class T>using vvc=vc<vc<T>>;
template<class T>using vvvc=vvc<vc<T>>;
using vi=vc<int>;
using vvi=vc<vi>;
using vvvi=vc<vvi>;
using vl=vc<ll>;
using vvl=vc<vl>;
using vvvl=vc<vvl>;
template<class T>using smpq=priority_queue<T,vector<T>,greater<T>>;
template<class T>using bipq=priority_queue<T>;
#define rep(i,n) for(ll i=0;i<(ll)(n);i++)
#define REP(i,j,n) for(ll i=(j);i<(ll)(n);i++)
#define DREP(i,n,m) for(ll i=(n);i>=(m);i--)
#define drep(i,n) for(ll i=((n)-1);i>=0;i--)
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define is insert
#define bg begin()
#define ed end()
void scan(int&a) { cin >> a; }
void scan(ll&a) { cin >> a; }
void scan(string&a) { cin >> a; }
void scan(char&a) { cin >> a; }
void scan(uint&a) { cin >> a; }
void scan(ull&a) { cin >> a; }
void scan(bool&a) { cin >> a; }
void scan(ld&a){ cin>> a;}
template<class T> void scan(vector<T>&a) { for(auto&x:a) scan(x); }
void read() {}
template<class Head, class... Tail> void read(Head&head, Tail&... tail) { scan(head); read(tail...); }
#define INT(...) int __VA_ARGS__; read(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; read(__VA_ARGS__);
#define ULL(...) ull __VA_ARGS__; read(__VA_ARGS__);
#define STR(...) string __VA_ARGS__; read(__VA_ARGS__);
#define CHR(...) char __VA_ARGS__; read(__VA_ARGS__);
#define DBL(...) double __VA_ARGS__; read(__VA_ARGS__);
#define LD(...) ld __VA_ARGS__; read(__VA_ARGS__);
#define VC(type, name, ...) vector<type> name(__VA_ARGS__); read(name);
#define VVC(type, name, size, ...) vector<vector<type>> name(size, vector<type>(__VA_ARGS__)); read(name);
void print(int a) { cout << a; }
void print(ll a) { cout << a; }
void print(string a) { cout << a; }
void print(char a) { cout << a; }
void print(uint a) { cout << a; }
void print(bool a) { cout << a; }
void print(ull a) { cout << a; }
void print(double a) { cout << a; }
void print(ld a){ cout<< a; }
template<class T> void print(vector<T>a) { for(int i=0;i<(int)a.size();i++){if(i)cout<<" ";print(a[i]);}cout<<endl;}
void PRT() { cout <<endl; return ; }
template<class T> void PRT(T a) { print(a); cout <<endl; return; }
template<class Head, class... Tail> void PRT(Head head, Tail ... tail) { print(head); cout << " "; PRT(tail...); return; }
template<class T,class F>
bool chmin(T &x, F y){
    if(x>y){
        x=y;
        return true;
    }
    return false;
}
template<class T, class F>
bool chmax(T &x, F y){
    if(x<y){
        x=y;
        return true;
    }
    return false;
}
void YesNo(bool b){
    cout<<(b?"Yes":"No")<<endl;
}
void Yes(){
    cout<<"Yes"<<endl;
}
void No(){
    cout<<"No"<<endl;
}
template<class T>
int popcount(T n){
    return __builtin_popcountll(n);
}
template<class T>
T sum(vc<T>&a){
    return accumulate(all(a),T(0));
}
template<class T>
T max(vc<T>&a){
    return *max_element(all(a));
}
template<class T>
T min(vc<T>&a){
    return *min_element(all(a));
}
template<class T>
void unique(vc<T>&a){
    a.erase(unique(all(a)),a.end());
}
vvi readgraph(int n,int m,int off = -1){
    vvi g(n);
    rep(i, m){
        int u,v;
        cin>>u>>v;
        u+=off,v+=off;
        g[u].push_back(v);
        g[v].push_back(u);
    }
    return g;
}
vvi readtree(int n,int off=-1){
    return readgraph(n,n-1,off);
}
template<class T>
vc<T> presum(vc<T> &a){
    vc<T> ret(a.size()+1);
    rep(i,a.size())ret[i+1]=ret[i]+a[i];
    return ret;
}
template<class T, class F>
vc<T> &operator+=(vc<T> &a,F b){
    for (auto&v:a)v += b;
    return a;
}
template<class T, class F>
vc<T> &operator-=(vc<T>&a,F b){
    for (auto&v:a)v-=b;
    return a;
}
template<class T, class F>
vc<T> &operator*=(vc<T>&a,F b){
    for (auto&v:a)v*=b;
    return a;
}
#endif
double pass_time=0;
template <class T,T (*op)(T, T),class F,T (*mapping)(T,F),F (*merge)(F, F)>
struct lazy_segtree{
    int n;
    vector<T>data;
    vector<F>lazy;
    int log;
    T e;
    F id;
    lazy_segtree(int n1,T e,F id):n(n1),e(e),id(id){
        int n_=1;
        log=0;
        while(n_<=n)n_*=2,log++;
        data=vector<T>(n_*2,e);
        lazy=vector<F>(n_,id);
        n=n_;
        for(int i=n_-1;i>0;i--)update(i);
    }
    void update(int k){
        data[k]=op(data[k*2],data[k*2+1]);
    }
    void apply(int k,F x){//
        data[k]=mapping(data[k],x);
        if(k<n){
            lazy[k]=merge(lazy[k],x);
            if(lazy[k]==id)return;
            //segment tree beats! if(data[k].fail)push(k),update(k);
        }
    }
    void push(int k){//上から遅延素を伝播させる
        apply(k*2,lazy[k]);
        apply(k*2+1,lazy[k]);
        lazy[k]=id;
    }
    void set(int p,T x){
        p+=n;
        for(int i=log;i>=1;i--){
            push(p>>i);
        }
        data[p]=x;
        for(int i=1;i<=log;i++){
            update(p>>i);
        }
    }
    void apply(int l,int r,F x){
        if(l==r)return;
        l+=n,r+=n;
        for(int i=log;i>=1;i--){
            if(((l>>i)<<i)!=l)push(l>>i);
            if(((r>>i)<<i)!=r)push((r-1)>>i);
        } 
        int l2{l},r2{r};
        while(l<r){
            if(l&1)apply(l++,x);
            if(r&1)apply(--r,x);
            l>>=1,r>>=1;
        }
        l=l2,r=r2;
        for(int i=1;i<=log;i++){
            if(((l>>i)<<i)!=l)update(l>>i);
            if(((r>>i)<<i)!=r)update((r-1)>>i);
        }
    }
    T prod(int l,int r){
        l+=n,r+=n;
        for(int i=log;i>=1;i--){
            if(((l>>i)<<i)!=l)push(l>>i);
            if(((r>>i)<<i)!=r)push((r-1)>>i);
        } 
        T sml=e,smr=e;
        while(l<r){
            if(l&1)sml=op(sml,data[l++]);
            if(r&1)smr=op(data[--r],smr);
            l>>=1,r>>=1;
        }
        return op(sml,smr);
    }
    T get(int p){
        p+=n;
        for(int i=log;i>=1;i--)push(p>>i);
        return data[p];
    }
};
using bint=ll;
bint op(bint a,bint b){
    return a+b;
}
#include<vector>
#include<cassert>
#include<algorithm>
struct HLD{
    int n;
    std::vector<int>depth,head,siz_,par,in,out;
    std::vector<std::vector<int>>g,c;
    HLD(int n):n(n),depth(n),head(n),siz_(n,1),in(n),out(n),g(n),c(n){}
    HLD(int n,std::vector<std::vector<int>>g):n(n),depth(n),head(n),siz_(n,1),in(n),out(n),g(g),c(n){}
    int inited=0;
    void add_edge(int u,int v,bool d){
        g[u].push_back(v);
        if(d)g[v].push_back(u);
    }
    void init_dfs1(int now,int pre){
        for(int &x:g[now]){
            if(x==pre)continue;
            c[now].push_back(x);
            depth[x]=depth[now]+1;
            par[x]=now;
            init_dfs1(x,now);
            siz_[now]+=siz_[x];
        }
    }
    void init_dfs2(int now,int pre,int&order){
        in[now]=order++;
        for(int i=0;i<(int)c[now].size();i++){
            if(siz_[c[now][0]]<siz_[c[now][i]])std::swap(c[now][0],c[now][i]);
        }
        for(int x:c[now]){
            if(x==c[now][0])head[x]=head[now];
            else head[x]=x;
            init_dfs2(x,now,order);
        }
        out[now]=order++;
    }
    void init(int root=0){//rootからの有向辺にになることに注意
        par=head=std::vector<int>(n,root);
        int order{};
        init_dfs1(root,-1);
        init_dfs2(root,-1,order);
    }
    int lca(int u,int v){//O(logN) u,vのlcaを取得する
        if(head[u]==head[v])return (depth[u]>depth[v]?v:u);
        if(depth[head[u]]>depth[head[v]])std::swap(u,v);
        v=par[head[v]];
        return lca(u,v);
    }
    int f1(int a){//入った時間を返すO(1)
        return in[a];
    }
    int f2(int a){//出た時間を返すO(1)
        return out[a];
    }
    int dis(int u,int v){//uとvの最短距離を求めるO(logN)
        assert(0<=u&&u<n);
        assert(0<=v&&v<n);
        return depth[u]+depth[v]-2*depth[lca(u,v)];
    }
    template<class T,class G>
    void set(int u,T&seg,G x){
        seg.set(f1(u),x);
    }
    template<class G,class T>
    G prod(int u,int v,bool edge,T&seg){//[u,v]の演算結果を取得する,G>ret T>seg木　O(log^2N)
        G sml=seg.e,smr=seg.e;
        while(1){
            if(in[u]>in[v])swap(u,v),swap(sml,smr);
            if(head[u]==head[v])break;
            smr=op(smr,seg.prod(in[head[v]],in[v]+1));
            v=par[head[v]];
        }
        return op(sml,op(smr,seg.prod(in[u]+edge,in[v]+1)));
    }
    vector<vector<int>>db;
    void la_init(){
        int log=0;
        while((1<<log)<n)log++;
        db.resize(log,vector<int>(n));
        db[0]=par;
        for(int i=1;i<log;i++){
            for(int j=0;j<n;j++){
                int nxt=db[i-1][j];
                if(nxt==-1)db[i][j]=-1;
                else{
                    db[i][j]=db[i-1][nxt];
                }
            }
        }
    }    
    int la(int x,int p){
        int now=0;
        while(p){
            if(p&1)x=db[now][x];
            p>>=1;
            now++;
            if(x==-1)return -1;
        }
        return x;
    }
};
using L=lazy_segtree<bint,op,bint,op,op>;
void solve(){
    INT(n,q);
    VC(int,a,n);
    constexpr int B=300;
    HLD hld(n);
    vvi g(n);
    rep(i,n-1){
        INT(u,v);
        hld.add_edge(--u,--v,1);
        g[u].pb(v);
        g[v].pb(u);
    }
    hld.init();
    L other(n*2,0,0);
    L my(n*2,0,0);
    rep(i,n)for(auto&x:g[i])other.set(hld.f1(x),other.get(hld.f1(x))+a[i]);
    rep(i,n)my.set(hld.f1(i),a[i]);
    vi bigs;
    vi is(n);
    vl lazy(n);
    rep(i,n){
        if(g[i].size()>=B)bigs.pb(i),is[i]=1,dbg(i);
    }
    rep(i,q){
        LL(t,u,x);
        --u;
        if(t==0){
            if(is[u]){
                lazy[u]+=x;
            }else{
                for(auto&to:g[u]){
                    other.set(hld.f1(to),other.get(hld.f1(to))+x);
                }
                my.set(hld.f1(u),my.get(hld.f1(u))+x);
            }
        }else{
            dbg(g[x][0],g[u][0]);
            --x;
            bint res=hld.prod<bint,L>(u,x,0,other)-hld.prod<bint,L>(u,x,0,my);
            res+=(my.get(hld.f1(u))+my.get(hld.f1(x)));
            int lc=hld.lca(u,x);
            for(auto&to:bigs){
                if(hld.depth[lc]>hld.depth[to]){
                    if(hld.par[lc]==to){
                        res+=lazy[to];
                    }
                }else {
                
                    if(hld.lca(lc,to)!=lc)continue;
                    int dist=min(hld.dis(to,hld.lca(u,to)),hld.dis(to,hld.lca(x,to)));
                    if(dist<=1){
                        res+=lazy[to];
                    }
                }
            }
            cout<<res<<endl;
        }
    }
}
signed main(){
#ifdef t9unkubj
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
    cin.tie(0)->sync_with_stdio(0);
    pass_time=clock();
    int t=1;
    //cin>>t;
    while(t--)solve();
    pass_time=clock()-pass_time;
    dbg(pass_time/CLOCKS_PER_SEC);
}
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