結果

問題 No.900 aδδitivee
コンテスト
ユーザー minato
提出日時 2020-10-15 03:14:57
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 149 ms / 2,000 ms
コード長 13,371 bytes
コンパイル時間 14,423 ms
コンパイル使用メモリ 307,764 KB
最終ジャッジ日時 2025-01-15 07:23:55
ジャッジサーバーID
（参考情報） 		judge5 / judge5
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ファイルパターン 結果
sample AC * 2
other AC * 27
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 # 

#ifdef ONLINE_JUDGE
#pragma GCC target("avx2,avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using i128 = __int128_t;
using pii = pair<int, int>;
using pll = pair<long long, long long>;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define all(x) (x).begin(), (x).end()
constexpr char ln = '\n';
istream& operator>>(istream& is, __int128_t& x) {
    x = 0;
    string s;
    is >> s;
    int n = int(s.size()), it = 0;
    if (s[0] == '-') it++;
    for (; it < n; it++) x = (x * 10 + s[it] - '0');
    if (s[0] == '-') x = -x;
    return is;
}
ostream& operator<<(ostream& os, __int128_t x) {
    if (x == 0) return os << 0;
    if (x < 0) os << '-', x = -x;
    deque<int> deq;
    while (x) deq.emplace_front(x % 10), x /= 10;
    for (int e : deq) os << e;
    return os;
}
template<class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) {
    return os << "(" << p.first << ", " << p.second << ")";
}
template<class T> 
ostream& operator<<(ostream& os, const vector<T>& v) {
    os << "{";
    for (int i = 0; i < int(v.size()); i++) {
        if (i) os << ", ";
        os << v[i];
    }
    return os << "}";
}
template<class Container> inline int SZ(Container& v) { return int(v.size()); }
template<typename T> inline void UNIQUE(vector<T>& v) { v.erase(unique(v.begin(), v.end()), v.end()); }
template<class T1, class T2> inline bool chmax(T1& a, T2 b) { if (a < b) {a = b; return true ;} return false ;}
template<class T1, class T2> inline bool chmin(T1& a, T2 b) { if (a > b) {a = b; return true ;} return false ;}
inline int topbit(int x) { return x == 0 ? -1 : 31 - __builtin_clz(x); }
inline int topbit(long long x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); }
inline int botbit(int x) { return x == 0 ? 32 : __builtin_ctz(x); }
inline int botbit(long long x) { return x == 0 ? 64 : __builtin_ctzll(x); }
inline int popcount(int x) { return __builtin_popcount(x); }
inline int popcount(long long x) { return __builtin_popcountll(x); }
inline int kthbit(long long x, int k) { return (x>>k) & 1; }
inline constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x-1) * 10; }
namespace detail {
    template<typename Tp, int Nb>
    auto make_vector(vector<int>& sizes, Tp const& x) {
        if constexpr (Nb == 1) {
            return vector(sizes[0], x);
        } else {
            int size = sizes[Nb-1];
            sizes.pop_back();
            return vector(size, make_vector<Tp, Nb-1>(sizes, x));
        }
    }
}
template<typename Tp, int Nb>
auto make_vector(int const(&sizes)[Nb], Tp const& x = Tp()) {
    vector<int> s(Nb);
    for (int i = 0; i < Nb; i++) s[i] = sizes[Nb-i-1];
    return detail::make_vector<Tp, Nb>(s, x);
}
inline void print() { cout << "\n"; }
template<class T>
inline void print(const vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        if (i) cout << " ";
        cout << v[i];
    }
    print();
}
template<class T, class... Args>
inline void print(const T& x, const Args& ... args) {
    cout << x << " ";
    print(args...);
}
#ifdef MINATO_LOCAL
inline void debug_out() { cerr << endl; }
template <class T, class... Args>
inline void debug_out(const T& x, const Args& ... args) {
    cerr << " " << x;
    debug_out(args...);
}
#define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl;
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

struct HeavyLightDecomposition {
    vector<vector<int>> G;
    vector<int> vid, head, sub, par, dep, inv, type;

    HeavyLightDecomposition(int N) :
        G(N),vid(N,-1),head(N),sub(N,1),
        par(N,-1),dep(N,0),inv(N),type(N){}

    void add_edge(int u,int v) {
        G[u].emplace_back(v);
        G[v].emplace_back(u);
    }

    void build(vector<int> rs = {0}) {
        int c = 0, pos = 0;
        for(int r : rs) {
            dfs_sz(r);
            head[r] = r;
            dfs_hld(r, c++, pos);
        }
    }

    void dfs_sz(int v) {
        for(int& u : G[v]) if(u==par[v]) swap(u,G[v].back());
        if(~par[v]) G[v].pop_back();
        for (int& u : G[v]) {
            par[u] = v;
            dep[u] = dep[v]+1;
            dfs_sz(u);
            sub[v] += sub[u];
            if(sub[u] > sub[G[v][0]]) swap(u,G[v][0]);
        }
    }

    void dfs_hld(int v, int c, int& pos) {
        vid[v] = pos++;
        inv[vid[v]] = v;
        type[v] = c;
        for(int u : G[v]) {
            if(u == par[v]) continue;
            head[u] = (u == G[v][0] ? head[v] : u);
            dfs_hld(u,c,pos);
        }
    }

    int lca(int u, int v) {
        while(true) {
            if(vid[u] > vid[v]) swap(u,v);
            if(head[u] == head[v]) return u;
            v = par[head[v]];
        }
    }

    int distance(int u, int v) {
        return dep[u] + dep[v] - 2*dep[lca(u,v)];
    }

    // for_each(vertex)
    template<class F>
    void for_each(int u, int v, const F& f) {
        while(true) {
            if(vid[u] > vid[v]) swap(u,v);
            f(max(vid[head[v]],vid[u]), vid[v]+1);
            if(head[u] != head[v]) v = par[head[v]];
            else break;
        }
    }

    template<class T, class Q, class F>
    T for_each(int u, int v, T ti, const Q& q, const F& f) {
        T l = ti, r = ti;
        while(true) {
            if(vid[u] > vid[v]) {
                swap(u,v);
                swap(l,r);
            }
            l = f(l, q(max(vid[head[v]],vid[u]), vid[v]+1));
            if(head[u] != head[v]) v = par[head[v]];
            else break;
        }
        return f(l,r);
    }

    // for_each(edge)
    // [l, r) <- attention!!
    template<class F>
    void for_each_edge(int u, int v, const F& f) {
        while(true) {
            if (vid[u] > vid[v]) swap(u,v);
            if (head[u] != head[v]) {
                f(vid[head[v]],vid[v]+1);
                v = par[head[v]];
            } else {
                if (u != v) f(vid[u]+1, vid[v]+1);
                break;
            }
        }
    }

    int search(int v, int d) {
        if (dep[v] < d || d < 0) return -1;
        while (true) {
            if (dep[v] - dep[head[v]] + 1 <= d) {
                d -= dep[v] - dep[head[v]] + 1;
                v = par[head[v]];
            } else {
                return inv[vid[v]-d];
            }
        }
    }
};

template<class T, class U, class F, class G, class H>
struct LazySegmentTree {
  private:
    F op;
    G mapping;
    H composition;
    T e;
    U id;
    int _n, size ,log;
    vector<T> node;
    vector<U> lazy;

  public:
    LazySegmentTree() {}
    LazySegmentTree(const F& op, const G& mapping, const H& composition, T e, U id, int n)
                    : LazySegmentTree(op, mapping, composition, e, id, vector<T>(n, e)) {}
    LazySegmentTree(const F& op, const G& mapping, const H& composition, T e, U id, const vector<T>& v) 
                    : op(op), mapping(mapping), composition(composition), e(e), id(id),
                    _n(int(v.size())), log(0) {
                        while ((1<<log) < _n) log++;
                        size = 1 << log;
                        node = vector<T>(2 * size, e);
                        lazy = vector<U>(size, id);
                        for (int i = 0; i < _n; i++) node[size + i] = v[i];
                        for (int i = size - 1; i >= 1; i--) {
                            update(i);
                        }
                    }
    
    void set(int p, T x) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        node[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    // [l, r) (0-indexed)
    T get(int l, int r) {
        if (l >= r) return e;

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push(r >> i);
        }

        T sml = e, smr = e;
        while (l < r) {
            if (l & 1) sml = op(sml, node[l++]);
            if (r & 1) smr = op(node[--r], smr);
            l >>= 1;
            r >>= 1;
        }

        return op(sml, smr);
    }

    T all_get() { return node[1]; }

    void apply(int p, U val) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        node[p] = val == id ? node[p] : mapping(node[p], val);
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    void apply(int l, int r, U val) {
        if (l >= r) return;

        l += size;
        r += size;

        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) all_apply(l++, val);
                if (r & 1) all_apply(--r, val);
                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);
        }
    }

    template <typename C> 
    int max_right(int l, const C& check) {
        assert(0 <= l && l <= _n);
        assert(check(e));
        if (l == _n) return _n;
        l += size;
        for (int i = log; i >= 1; i--) push(l >> i);
        T sm = e;
        do {
            while (~l & 1) l >>= 1;
            if (!check(op(sm, node[l]))) {
                while (l < size) {
                    push(l);
                    l = (2 * l);
                    if (check(op(sm, node[l]))) {
                        sm = op(sm, node[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, node[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }

    template <typename C>
    int min_left(int r, const C& check) {
        assert(0 <= r && r <= _n);
        assert(check(e));
        if (r == 0) return 0;
        r += size;
        for (int i = log; i >= 1; i--) push((r - 1) >> i);
        T sm = e;
        do {
            r--;
            while (r > 1 && (r & 1)) r >>= 1;
            if (!check(op(node[r], sm))) {
                while (r < size) {
                    push(r);
                    r = (2 * r + 1);
                    if (check(op(node[r], sm))) {
                        sm = op(node[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(node[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

    T operator[](int p) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        return node[p];
    }

  private:
    
    void update(int k) { node[k] = op(node[2 * k], node[2 * k + 1]); }

    void all_apply(int k, U val) {
        node[k] = val == id ? node[k] : mapping(node[k], val);
        if (k < size) lazy[k] = composition(lazy[k], val);
    }

    void push(int k) {
        if (lazy[k] == id) return;
        all_apply(2 * k, lazy[k]);
        all_apply(2 * k + 1, lazy[k]);
        lazy[k] = id;
    }  
};

template<typename T>
struct edge {
    int src,to;
    T cost;
    int id;

    edge(){}
    edge(int to, T cost) : src(-1), to(to), cost(cost), id(-1) {}
    edge(int src, int to, T cost) : src(src), to(to), cost(cost), id(-1) {}
    edge(int src, int to, T cost, int id) : src(src), to(to), cost(cost), id(id) {}
    bool operator<(const edge& e) const { return cost < e.cost; }
};

int main() {
    int N; cin >> N;
    vector<edge<ll>> E(N-1);
    HeavyLightDecomposition HLD(N);
    rep(i,N-1) {
        int u,v,w; cin >> u >> v >> w;
        E[i] = edge<ll>(u,v,w);
        HLD.add_edge(u,v);
    }

    HLD.build();
    auto f=[](pll a, pll b) { return pll(a.first+b.first,a.second+b.second); };
    auto g=[](pll a, ll val) { return pll(a.first+val*a.second,a.second); };
    auto h=[](ll a, ll b) { return a+b; };
    constexpr pll e = pll(0,0);
    constexpr ll id = 0;
    LazySegmentTree seg(f,g,h,e,id,N);

    rep(i,N-1) {
        int u = E[i].src;
        int v = E[i].to;
        if (HLD.dep[u] < HLD.dep[v]) {
            seg.set(HLD.vid[v],pll(E[i].cost,1));
        } else {
            seg.set(HLD.vid[u],pll(E[i].cost,-1));
        }
    }

    int Q; cin >> Q;
    rep(_,Q) {
        int t; cin >> t;
        if (t==1) {
            int a,x; cin >> a >> x;
            seg.apply(HLD.vid[a]+1,HLD.vid[a]+HLD.sub[a],x);
        } else {
            int b; cin >> b;
            ll ans = 0;
            auto func=[&](int a, int b) {
                ans += seg.get(a,b).first;
                return;
            };
            HLD.for_each_edge(0,b,func);
            cout << ans << ln;
        }
    }
}
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