結果

問題 No.2439 Fragile Apple Tree
ユーザー rniyarniya
提出日時 2023-08-19 00:14:47
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,698 ms / 10,000 ms
コード長 13,821 bytes
コンパイル時間 3,466 ms
コンパイル使用メモリ 227,036 KB
実行使用メモリ 86,400 KB
最終ジャッジ日時 2024-05-06 08:10:13
合計ジャッジ時間 30,229 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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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1,081 ms
55,680 KB
testcase_01 AC 1,494 ms
68,992 KB
testcase_02 AC 1,510 ms
68,992 KB
testcase_03 AC 392 ms
86,400 KB
testcase_04 AC 577 ms
86,400 KB
testcase_05 AC 1,463 ms
69,120 KB
testcase_06 AC 1,534 ms
68,992 KB
testcase_07 AC 1,197 ms
68,224 KB
testcase_08 AC 1,235 ms
68,352 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 1 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 1 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 1,698 ms
65,664 KB
testcase_15 AC 1,282 ms
68,992 KB
testcase_16 AC 1,475 ms
69,120 KB
testcase_17 AC 1,532 ms
68,992 KB
testcase_18 AC 918 ms
55,936 KB
testcase_19 AC 524 ms
29,568 KB
testcase_20 AC 313 ms
24,832 KB
testcase_21 AC 42 ms
5,376 KB
testcase_22 AC 801 ms
37,760 KB
testcase_23 AC 341 ms
19,712 KB
testcase_24 AC 464 ms
27,392 KB
testcase_25 AC 666 ms
46,336 KB
testcase_26 AC 815 ms
52,736 KB
testcase_27 AC 584 ms
35,456 KB
testcase_28 AC 2 ms
5,376 KB
testcase_29 AC 2 ms
5,376 KB
testcase_30 AC 2 ms
5,376 KB
testcase_31 AC 488 ms
70,716 KB
testcase_32 AC 475 ms
70,716 KB
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 # 

#include <bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif

#ifdef _MSC_VER
#include <intrin.h>
#endif

namespace atcoder {

namespace internal {

// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
    int x = 0;
    while ((1U << x) < (unsigned int)(n)) x++;
    return x;
}

// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
constexpr int bsf_constexpr(unsigned int n) {
    int x = 0;
    while (!(n & (1 << x))) x++;
    return x;
}

// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
    unsigned long index;
    _BitScanForward(&index, n);
    return index;
#else
    return __builtin_ctz(n);
#endif
}

}  // namespace internal

}  // namespace atcoder

namespace atcoder {

template <class S,
          S (*op)(S, S),
          S (*e)(),
          class F,
          S (*mapping)(F, S),
          F (*composition)(F, F),
          F (*id)()>
struct lazy_segtree {
  public:
    lazy_segtree() : lazy_segtree(0) {}
    explicit lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
    explicit lazy_segtree(const std::vector<S>& v) : _n(int(v.size())) {
        log = internal::ceil_pow2(_n);
        size = 1 << log;
        d = std::vector<S>(2 * size, e());
        lz = std::vector<F>(size, id());
        for (int i = 0; i < _n; i++) d[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) {
            update(i);
        }
    }

    void set(int p, S x) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

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

    S prod(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        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 - 1) >> i);
        }

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

        return op(sml, smr);
    }

    S all_prod() { return d[1]; }

    void apply(int p, F f) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = mapping(f, d[p]);
        for (int i = 1; i <= log; i++) update(p >> i);
    }
    void apply(int l, int r, F f) {
        assert(0 <= l && l <= r && r <= _n);
        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++, f);
                if (r & 1) all_apply(--r, f);
                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 <bool (*g)(S)> int max_right(int l) {
        return max_right(l, [](S x) { return g(x); });
    }
    template <class G> int max_right(int l, G g) {
        assert(0 <= l && l <= _n);
        assert(g(e()));
        if (l == _n) return _n;
        l += size;
        for (int i = log; i >= 1; i--) push(l >> i);
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!g(op(sm, d[l]))) {
                while (l < size) {
                    push(l);
                    l = (2 * l);
                    if (g(op(sm, d[l]))) {
                        sm = op(sm, d[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, d[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }

    template <bool (*g)(S)> int min_left(int r) {
        return min_left(r, [](S x) { return g(x); });
    }
    template <class G> int min_left(int r, G g) {
        assert(0 <= r && r <= _n);
        assert(g(e()));
        if (r == 0) return 0;
        r += size;
        for (int i = log; i >= 1; i--) push((r - 1) >> i);
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!g(op(d[r], sm))) {
                while (r < size) {
                    push(r);
                    r = (2 * r + 1);
                    if (g(op(d[r], sm))) {
                        sm = op(d[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(d[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

  private:
    int _n, size, log;
    std::vector<S> d;
    std::vector<F> lz;

    void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
    void all_apply(int k, F f) {
        d[k] = mapping(f, d[k]);
        if (k < size) lz[k] = composition(f, lz[k]);
    }
    void push(int k) {
        all_apply(2 * k, lz[k]);
        all_apply(2 * k + 1, lz[k]);
        lz[k] = id();
    }
};

}  // namespace atcoder

struct HeavyLightDecomposition {
    std::vector<std::vector<int>> G;  // child of vertex v on heavy edge is G[v].front() if it is not parent of v
    int n, time;
    std::vector<int> par,  // parent of vertex v
        sub,               // size of subtree whose root is v
        dep,               // distance bitween root and vertex v
        head,              // vertex that is the nearest to root on heavy path of vertex v
        tree_id,           // id of tree vertex v belongs to
        vertex_id,         // id of vertex v (consecutive on heavy paths)
        vertex_id_inv;     // vertex_id_inv[vertex_id[v]] = v

    HeavyLightDecomposition(int n)
        : G(n),
          n(n),
          time(0),
          par(n, -1),
          sub(n),
          dep(n, 0),
          head(n),
          tree_id(n, -1),
          vertex_id(n, -1),
          vertex_id_inv(n) {}

    void add_edge(int u, int v) {
        assert(0 <= u and u < n);
        assert(0 <= v and v < n);
        G[u].emplace_back(v);
        G[v].emplace_back(u);
    }

    void build(std::vector<int> roots = {0}) {
        int tree_id_cur = 0;
        for (int& r : roots) {
            assert(0 <= r and r < n);
            dfs_sz(r);
            head[r] = r;
            dfs_hld(r, tree_id_cur++);
        }
        assert(time == n);
        for (int v = 0; v < n; v++) vertex_id_inv[vertex_id[v]] = v;
    }

    int idx(int v) const { return vertex_id[v]; }

    int la(int v, int k) const {
        assert(0 <= v and v < n);
        assert(0 <= k and k <= dep[v]);
        while (1) {
            int u = head[v];
            if (vertex_id[v] - k >= vertex_id[u]) return vertex_id_inv[vertex_id[v] - k];
            k -= vertex_id[v] - vertex_id[u] + 1;
            v = par[u];
        }
    }

    int lca(int u, int v) const {
        assert(0 <= u and u < n);
        assert(0 <= v and v < n);
        assert(tree_id[u] == tree_id[v]);
        for (;; v = par[head[v]]) {
            if (vertex_id[u] > vertex_id[v]) std::swap(u, v);
            if (head[u] == head[v]) return u;
        }
    }

    int jump(int s, int t, int i) const {
        assert(0 <= s and s < n);
        assert(0 <= t and t < n);
        assert(0 <= i);
        if (tree_id[s] != tree_id[t]) return -1;
        if (i == 0) return s;
        int p = lca(s, t), d = dep[s] + dep[t] - 2 * dep[p];
        if (d < i) return -1;
        if (dep[s] - dep[p] >= i) return la(s, i);
        return la(t, d - i);
    }

    int distance(int u, int v) const {
        assert(0 <= u and u < n);
        assert(0 <= v and v < n);
        assert(tree_id[u] == tree_id[v]);
        return dep[u] + dep[v] - 2 * dep[lca(u, v)];
    }

    template <typename F> void query_path(int u, int v, const F& f, bool vertex = false) const {
        assert(0 <= u and u < n);
        assert(0 <= v and v < n);
        assert(tree_id[u] == tree_id[v]);
        int p = lca(u, v);
        for (auto& e : ascend(u, p)) f(e.second, e.first + 1);
        if (vertex) f(vertex_id[p], vertex_id[p] + 1);
        for (auto& e : descend(p, v)) f(e.first, e.second + 1);
    }

    template <typename F> void query_path_noncommutative(int u, int v, const F& f, bool vertex = false) const {
        assert(0 <= u and u < n);
        assert(0 <= v and v < n);
        assert(tree_id[u] == tree_id[v]);
        int p = lca(u, v);
        for (auto& e : ascend(u, p)) f(e.first + 1, e.second);
        if (vertex) f(vertex_id[p], vertex_id[p] + 1);
        for (auto& e : descend(p, v)) f(e.first, e.second + 1);
    }

    template <typename F> void query_subtree(int u, const F& f, bool vertex = false) const {
        assert(0 <= u and u < n);
        f(vertex_id[u] + !vertex, vertex_id[u] + sub[u]);
    }

private:
    void dfs_sz(int v) {
        sub[v] = 1;
        if (!G[v].empty() and G[v].front() == par[v]) std::swap(G[v].front(), G[v].back());
        for (int& u : G[v]) {
            if (u == par[v]) continue;
            par[u] = v;
            dep[u] = dep[v] + 1;
            dfs_sz(u);
            sub[v] += sub[u];
            if (sub[u] > sub[G[v].front()]) std::swap(u, G[v].front());
        }
    }

    void dfs_hld(int v, int tree_id_cur) {
        vertex_id[v] = time++;
        tree_id[v] = tree_id_cur;
        for (int& u : G[v]) {
            if (u == par[v]) continue;
            head[u] = (u == G[v][0] ? head[v] : u);
            dfs_hld(u, tree_id_cur);
        }
    }

    std::vector<std::pair<int, int>> ascend(int u, int v) const {  // [u, v), v is ancestor of u
        std::vector<std::pair<int, int>> res;
        while (head[u] != head[v]) {
            res.emplace_back(vertex_id[u], vertex_id[head[u]]);
            u = par[head[u]];
        }
        if (u != v) res.emplace_back(vertex_id[u], vertex_id[v] + 1);
        return res;
    }

    std::vector<std::pair<int, int>> descend(int u, int v) const {  // (u, v], u is ancestor of v
        if (u == v) return {};
        if (head[u] == head[v]) return {{vertex_id[u] + 1, vertex_id[v]}};
        auto res = descend(u, par[head[v]]);
        res.emplace_back(vertex_id[head[v]], vertex_id[v]);
        return res;
    }
};

using namespace std;

typedef long long ll;
#define all(x) begin(x), end(x)
constexpr int INF = (1 << 30) - 1;
constexpr long long IINF = (1LL << 60) - 1;
constexpr int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};

template <class T> istream& operator>>(istream& is, vector<T>& v) {
    for (auto& x : v) is >> x;
    return is;
}

template <class T> ostream& operator<<(ostream& os, const vector<T>& v) {
    auto sep = "";
    for (const auto& x : v) os << exchange(sep, " ") << x;
    return os;
}

template <class T, class U = T> bool chmin(T& x, U&& y) { return y < x and (x = forward<U>(y), true); }

template <class T, class U = T> bool chmax(T& x, U&& y) { return x < y and (x = forward<U>(y), true); }

template <class T> void mkuni(vector<T>& v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template <class T> int lwb(const vector<T>& v, const T& x) { return lower_bound(begin(v), end(v), x) - begin(v); }

ll op(ll l, ll r) { return min(l, r); }

ll e() { return IINF; }

ll mapping(ll l, ll r) { return l + r; }

ll composition(ll l, ll r) { return l + r; }

ll id() { return 0; }

bool f(ll x) { return x > 0; }

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int N, Q;
    cin >> N >> Q;
    vector<int> a(N - 1), b(N - 1);
    vector<ll> c(N - 1);
    for (int i = 0; i < N - 1; i++) cin >> a[i] >> b[i] >> c[i], a[i]--, b[i]--;

    HeavyLightDecomposition HLD(N);
    for (int i = 0; i < N - 1; i++) HLD.add_edge(a[i], b[i]);
    HLD.build();
    vector<ll> init(N, e());
    vector<int> ch(N), par(N, -1);
    vector<vector<int>> G(N);
    for (int i = 0; i < N - 1; i++) {
        G[a[i]].emplace_back(i);
        G[b[i]].emplace_back(i);
        if (HLD.dep[a[i]] < HLD.dep[b[i]]) swap(a[i], b[i]);
        par[a[i]] = i;
        init[HLD.idx(a[i])] = c[i];
        ch[HLD.idx(a[i])] = a[i];
    }
    atcoder::lazy_segtree<ll, op, e, ll, mapping, composition, id> seg(init);
    int ans = N;
    vector<ll> sum(N, 0);
    vector<bool> alive(N - 1, true);
    auto kill = [&](int idx) {
        alive[idx] = false;
        seg.set(HLD.idx(a[idx]), IINF);
        ans--;
        auto q = [&](int l, int r) { seg.apply(l, r, sum[a[idx]]); };
        HLD.query_path(0, a[idx], q);
    };
    auto dfs = [&](auto self, int v) -> void {
        assert(v != 0);
        for (int& idx : G[v]) {
            int u = a[idx] ^ b[idx] ^ v;
            if (not alive[idx]) continue;
            kill(idx);
            self(self, u);
        }
    };
    auto query = [&](int v, int x) {
        sum[v] += x;
        auto q = [&](int l, int r) { seg.apply(l, r, -x); };
        HLD.query_path(0, v, q);
        int e = seg.min_left<f>(N) - 1;
        if (e == -1) return;
        int idx = par[ch[e]];
        kill(idx);
        dfs(dfs, a[idx]);
    };
    for (; Q--;) {
        int type;
        cin >> type;
        if (type == 1) {
            int v, x;
            cin >> v >> x;
            query(--v, x);
        } else {
            cout << ans << '\n';
        }
    }
    return 0;
}
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