結果

問題 No.2439 Fragile Apple Tree
ユーザー ForestedForested
提出日時 2023-08-18 22:39:34
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,395 ms / 10,000 ms
コード長 16,779 bytes
コンパイル時間 2,085 ms
コンパイル使用メモリ 150,556 KB
実行使用メモリ 79,856 KB
最終ジャッジ日時 2024-11-28 13:02:11
合計ジャッジ時間 20,586 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 584 ms
44,224 KB
testcase_01 AC 991 ms
60,968 KB
testcase_02 AC 937 ms
60,964 KB
testcase_03 AC 416 ms
79,856 KB
testcase_04 AC 719 ms
79,812 KB
testcase_05 AC 877 ms
61,004 KB
testcase_06 AC 934 ms
60,904 KB
testcase_07 AC 1,381 ms
60,636 KB
testcase_08 AC 1,395 ms
60,480 KB
testcase_09 AC 2 ms
6,816 KB
testcase_10 AC 1 ms
6,816 KB
testcase_11 AC 2 ms
6,820 KB
testcase_12 AC 1 ms
6,816 KB
testcase_13 AC 2 ms
6,816 KB
testcase_14 AC 1,344 ms
58,860 KB
testcase_15 AC 632 ms
61,100 KB
testcase_16 AC 930 ms
60,804 KB
testcase_17 AC 883 ms
60,904 KB
testcase_18 AC 326 ms
44,400 KB
testcase_19 AC 285 ms
23,820 KB
testcase_20 AC 130 ms
20,892 KB
testcase_21 AC 40 ms
6,816 KB
testcase_22 AC 481 ms
33,032 KB
testcase_23 AC 226 ms
17,624 KB
testcase_24 AC 271 ms
22,436 KB
testcase_25 AC 224 ms
38,388 KB
testcase_26 AC 284 ms
42,224 KB
testcase_27 AC 209 ms
31,616 KB
testcase_28 AC 2 ms
6,816 KB
testcase_29 AC 2 ms
6,820 KB
testcase_30 AC 2 ms
6,816 KB
testcase_31 AC 443 ms
61,828 KB
testcase_32 AC 446 ms
61,748 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 # 

#ifndef LOCAL
#define FAST_IO
#endif

// ============
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i)
#define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (i32)(n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)

using namespace std;

using u32 = unsigned int;
using u64 = unsigned long long;
using i32 = signed int;
using i64 = signed long long;
using f64 = double;
using f80 = long double;

template <typename T>
using Vec = vector<T>;

template <typename T>
bool chmin(T &x, const T &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}

#ifdef INT128

using u128 = __uint128_t;
using i128 = __int128_t;

istream &operator>>(istream &is, i128 &x) {
    i64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, i128 x) {
    os << (i64)x;
    return os;
}
istream &operator>>(istream &is, u128 &x) {
    u64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, u128 x) {
    os << (u64)x;
    return os;
}

#endif

[[maybe_unused]] constexpr i32 INF = 1000000100;
[[maybe_unused]] constexpr i64 INF64 = 3000000000000000100;
struct SetUpIO {
    SetUpIO() {
#ifdef FAST_IO
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
#endif
        cout << fixed << setprecision(15);
    }
} set_up_io;
// ============

#ifdef DEBUGF
#else
#define DBG(x) (void)0
#endif

// ============

#include <algorithm>
#include <cassert>
#include <utility>
#include <vector>

class HeavyLightDecomposition {
    std::vector<int> siz;
    std::vector<int> par;
    std::vector<int> hea;
    std::vector<int> in;
    std::vector<int> out;
    std::vector<int> dep;
    std::vector<int> rev;

    template <typename G>
    void dfs1(G &g, int v) {
        if (!g[v].empty() && (int) g[v][0] == par[v]) {
            std::swap(g[v][0], g[v].back());
        }
        for (auto &e : g[v]) {
            int u = (int)e;
            if (u != par[v]) {
                par[u] = v;
                dfs1(g, u);
                siz[v] += siz[u];
                if (siz[u] > siz[(int) g[v][0]]) {
                    std::swap(g[v][0], e);
                }
            }
        }
    }

    template <typename G>
    void dfs2(const G &g, int v, int &time) {
        in[v] = time;
        rev[time++] = v;
        for (auto &e : g[v]) {
            int u = (int)e;
            if (u == par[v]) {
                continue;
            }
            if (u == (int) g[v][0]) {
                hea[u] = hea[v];
            } else {
                hea[u] = u;
            }
            dep[u] = dep[v] + 1;
            dfs2(g, u, time);
        }
        out[v] = time;
    }

public:
    template <typename G>
    HeavyLightDecomposition(G &g, int root = 0) :
        siz(g.size(), 1),
        par(g.size(), root),
        hea(g.size(), root),
        in(g.size(), 0),
        out(g.size(), 0),
        dep(g.size(), 0),
        rev(g.size(), 0) {
        assert(root >= 0 && root < (int) g.size());
        dfs1(g, root);
        int time = 0;
        dfs2(g, root, time);
    }

    int subtree_size(int v) const {
        assert(v >= 0 && v < (int) siz.size());
        return siz[v];
    }

    int parent(int v) const {
        assert(v >= 0 && v < (int) par.size());
        return par[v];
    }

    int in_time(int v) const {
        assert(v >= 0 && v < (int) in.size());
        return in[v];
    }

    int out_time(int v) const {
        assert(v >= 0 && v < (int) out.size());
        return out[v];
    }

    int depth(int v) const {
        assert(v >= 0 && v < (int) dep.size());
        return dep[v];
    }

    int time_to_vertex(int t) const {
        assert(t >= 0 && t < (int) rev.size());
        return rev[t];
    }
    
    int la(int v, int k) const {
        assert(v >= 0 && v < (int) dep.size());
        assert(k >= 0);
        if (k > dep[v]) {
            return -1;
        }
        while (true) {
            int u = hea[v];
            if (in[u] + k <= in[v]) {
                return rev[in[v] - k];
            }
            k -= in[v] - in[u] + 1;
            v = par[u];
        }
        return 0;
    }
    
    int forward(int v, int dst) const {
        assert(v >= 0 && v < (int) dep.size());
        assert(dst >= 0 && dst < (int) dep.size());
        assert(v != dst);
        int l = lca(v, dst);
        if (l == v) {
            return la(dst, dep[dst] - dep[v] - 1);
        } else {
            return par[v];
        }
    }

    int lca(int u, int v) const {
        assert(u >= 0 && u < (int) dep.size());
        assert(v >= 0 && v < (int) dep.size());
        while (u != v) {
            if (in[u] > in[v]) {
                std::swap(u, v);
            }
            if (hea[u] == hea[v]) {
                v = u;
            } else {
                v = par[hea[v]];
            }
        }
        return u;
    }

    int dist(int u, int v) const {
        assert(u >= 0 && u < (int) dep.size());
        assert(v >= 0 && v < (int) dep.size());
        return dep[u] + dep[v] - 2 * dep[lca(u, v)];
    }

    std::vector<std::pair<int, int>> path(int u, int v, bool edge) const {
        assert(u >= 0 && u < (int) dep.size());
        assert(v >= 0 && v < (int) dep.size());
        std::vector<std::pair<int, int>> fromu, fromv;
        bool rev = false;
        while (true) {
            if (u == v && edge) {
                break;
            }
            if (in[u] > in[v]) {
                std::swap(u, v);
                std::swap(fromu, fromv);
                rev ^= true;
            }
            if (hea[u] == hea[v]) {
                fromv.emplace_back(in[v], in[u] + (int)edge);
                v = u;
                break;
            } else {
                fromv.emplace_back(in[v], in[hea[v]]);
                v = par[hea[v]];
            }
        }
        if (rev) {
            std::swap(fromu, fromv);
        }
        std::reverse(fromv.begin(), fromv.end());
        fromu.reserve(fromv.size());
        for (auto [x, y] : fromv) {
            fromu.emplace_back(y, x);
        }
        return fromu;
    }
    
    int jump(int u, int v, int k) const {
        assert(u >= 0 && u < (int) dep.size());
        assert(v >= 0 && v < (int) dep.size());
        assert(k >= 0);
        int l = lca(u, v);
        int dis = dep[u] + dep[v] - 2 * dep[l];
        if (k > dis) {
            return -1;
        }
        if (k <= dep[u] - dep[l]) {
            return la(u, k);
        } else {
            return la(v, dis - k);
        }
    }
    
    int meet(int u, int v, int w) const {
        return lca(u, v) ^ lca(v, w) ^ lca(w, u);
    }
};

// ============
// ============

#include <cassert>
#include <utility>
#include <vector>

template <typename MonoidFunc>
class LazySegmentTree {
public:
    using Value = typename MonoidFunc::Value;
    using Func = typename MonoidFunc::Func;

private:
    int old_length;
    int lg;
    int length;
    std::vector<Value> values;
    std::vector<Func> funcs;

    static int lg2(int n) {
        int x = 1;
        int l = 0;
        while (x < n) {
            x <<= 1;
            ++l;
        }
        return l;
    }

    void _apply(int idx, const Func &func) {
        values[idx] = MonoidFunc::apply(func, values[idx]);
        funcs[idx] = MonoidFunc::composite(func, funcs[idx]);
    }

    void push(int idx) {
        _apply(idx << 1, funcs[idx]);
        _apply(idx << 1 | 1, funcs[idx]);
        funcs[idx] = MonoidFunc::func_id();
    }

    void recalc_values(int idx) {
        values[idx] = MonoidFunc::op(values[idx << 1], values[idx << 1 | 1]);
    }

public:
    LazySegmentTree(int n) :
        old_length(n),
        lg(lg2(n)),
        length(1 << lg),
        values(length << 1, MonoidFunc::id()),
        funcs(length << 1, MonoidFunc::func_id()) {
        assert(n >= 0);    
    }

    LazySegmentTree(const std::vector<Value> &v) :
        old_length((int) v.size()),
        lg(lg2(old_length)),
        length(1 << lg),
        values(length << 1, MonoidFunc::id()),
        funcs(length << 1, MonoidFunc::func_id()) {
        for (int i = 0; i < old_length; ++i) {
            values[i + length] = v[i];
        }
        for (int i = length - 1; i > 0; --i) {
            recalc_values(i);
        }
    }

    template <typename F>
    LazySegmentTree(int n, const F &f) :
        old_length(n),
        lg(lg2(n)),
        length(1 << lg),
        values(length << 1, MonoidFunc::id()),
        funcs(length << 1, MonoidFunc::func_id()) {
        for (int i = 0; i < old_length; ++i) {
            values[i + length] = f(i);
        }
        for (int i = length - 1; i > 0; --i) {
            recalc_values(i);
        }
    }

    void update(int idx, Value val) {
        assert(idx >= 0 && idx < old_length);
        idx += length;
        for (int i = lg; i > 0; --i) {
            push(idx >> i);
        }
        values[idx] = std::move(val);
        while (idx >>= 1) {
            recalc_values(idx);
        }
    }

    void apply(int l, int r, const Func &func) {
        assert(l >= 0 && l <= r && r <= old_length);
        if (l == r) {
            return;
        }
        l += length;
        r += length;
        int _l = l;
        int _r = r;
        for (int i = lg; i > 0; --i) {
            push(_l >> i);
            push((_r - 1) >> i);
        }
        while (l < r) {
            if (l & 1) {
                _apply(l++, func);
            }
            if (r & 1) {
                _apply(--r, func);
            }
            l >>= 1;
            r >>= 1;
        }
        for (int i = 1; i <= lg; ++i) {
            if ((_l >> i << i) != _l) {
                recalc_values(_l >> i);
            }
            if ((_r >> i << i) != _r) {
                recalc_values((_r - 1) >> i);
            }
        }
    }

    Value prod(int l, int r) {
        assert(l >= 0 && l <= r && r <= old_length);
        if (l == r) {
            return MonoidFunc::id();
        }
        l += length;
        r += length;
        for (int i = lg; i > 0; --i) {
            push(l >> i);
            push((r - 1) >> i);
        }
        Value lp = MonoidFunc::id();
        Value rp = MonoidFunc::id();
        while (l < r) {
            if (l & 1) {
                lp = MonoidFunc::op(lp, values[l++]);
            }
            if (r & 1) {
                rp = MonoidFunc::op(values[--r], rp);
            }
            l >>= 1;
            r >>= 1;
        }
        return MonoidFunc::op(lp, rp);
    }
    
    Value all_prod() const {
        return values[1];
    }
};

// ============
// ============

#include <cassert>
#include <vector>

// ============

#include <limits>
#include <utility>

template <typename T>
struct Add {
    using Value = T;
    static Value id() {
        return T(0);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs + rhs;
    }
    static Value inv(const Value &x) {
        return -x;
    }
};

template <typename T>
struct Mul {
    using Value = T;
    static Value id() {
        return Value(1);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs * rhs;
    }
    static Value inv(const Value &x) {
        return Value(1) / x;
    }
};

template <typename T>
struct Min {
    using Value = T;
    static Value id() {
        return std::numeric_limits<T>::max();
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return std::min(lhs, rhs);
    }
};

template <typename T>
struct Max {
    using Value = T;
    static Value id() {
        return std::numeric_limits<Value>::min();
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return std::max(lhs, rhs);
    }
};

template <typename T>
struct Xor {
    using Value = T;
    static Value id() {
        return T(0);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs ^ rhs;
    }
    static Value inv(const Value &x) {
        return x;
    }
};

template <typename Monoid>
struct Reversible {
    using Value = std::pair<typename Monoid::Value, typename Monoid::Value>;
    static Value id() {
        return Value(Monoid::id(), Monoid::id());
    }
    static Value op(const Value &v1, const Value &v2) {
        return Value(
            Monoid::op(v1.first, v2.first),
            Monoid::op(v2.second, v1.second));
    }
};

// ============

template <typename CommutativeGroup>
class FenwickTree {
public:
    using Value = typename CommutativeGroup::Value;

private:
    std::vector<Value> data;

public:
    FenwickTree(int n) : data(n, CommutativeGroup::id()) {}

    void add(int idx, const Value &x) {
        assert(idx >= 0 && idx < (int) data.size());
        for (; idx < (int) data.size(); idx |= idx + 1) {
            data[idx] = CommutativeGroup::op(data[idx], x);
        }
    }

    Value sum(int r) const {
        assert(r >= 0 && r <= (int) data.size());
        Value ret = CommutativeGroup::id();
        for (; r > 0; r &= r - 1) {
            ret = CommutativeGroup::op(ret, data[r - 1]);
        }
        return ret;
    }

    Value sum(int l, int r) const {
        assert(l >= 0 && l <= r && r <= (int) data.size());
        return CommutativeGroup::op(sum(r), CommutativeGroup::inv(sum(l)));
    }
};

template <typename T>
using FenwickTreeAdd = FenwickTree<Add<T>>;
// ============

struct Ops {
    using Value = pair<i64, i32>;
    using Func = i64;
    static Value id() {
        return Value(INF64, -1);
    }
    static Value op(Value x, Value y) {
        if (x.first > y.first) {
            swap(x, y);
        }
        if (y.first <= 0) {
            return x.second > y.second ? x : y;
        } else {
            return x;
        }
    }
    static Func func_id() {
        return 0;
    }
    static Func composite(Func f, Func g) {
        return f + g;
    }
    static Value apply(Func f, Value x) {
        return Value(x.first + f, x.second);
    }
};

struct RAPS {
    FenwickTreeAdd<i32> fw;
    RAPS(i32 n) : fw(n + 1) {}
    void add(i32 l, i32 r, i32 v) {
        fw.add(l, v);
        fw.add(r, -v);
    }
    i32 get(i32 x) {
        return fw.sum(x + 1);
    }
};

int main() {
    i32 n, q;
    cin >> n >> q;
    Vec<i32> a(n - 1), b(n - 1);
    Vec<i64> c(n - 1);
    REP(i, n - 1) {
        cin >> a[i] >> b[i] >> c[i];
        --a[i];
        --b[i];
    }
    Vec<Vec<i32>> tree(n);
    REP(i, n - 1) {
        tree[a[i]].push_back(b[i]);
        tree[b[i]].push_back(a[i]);
    }
    HeavyLightDecomposition hld(tree);
    RAPS sz(n);
    REP(i, n) {
        sz.add(i, i + 1, hld.subtree_size(hld.time_to_vertex(i)));
    }
    LazySegmentTree<Ops> seg(n);
    Vec<i64> def(n, 0);
    REP(i, n - 1) {
        if (a[i] == hld.parent(b[i])) {
            seg.update(hld.in_time(b[i]), Ops::Value(c[i], hld.in_time(b[i])));
            def[b[i]] = c[i];
        } else {
            seg.update(hld.in_time(a[i]), Ops::Value(c[i], hld.in_time(a[i])));
            def[a[i]] = c[i];
        }
    }
    while (q--) {
        i32 type;
        cin >> type;
        if (type == 1) {
            i32 v;
            i64 x;
            cin >> v >> x;
            --v;
            for (auto [l, r] : hld.path(0, v, true)) {
                ++r;
                seg.apply(l, r, -x);
            }
            Ops::Value val = seg.all_prod();
            if (val.first <= 0) {
                i32 u = hld.time_to_vertex(val.second);
                i64 apple = def[u] - val.first;
                for (auto [l, r] : hld.path(0, hld.parent(u), true)) {
                    ++r;
                    seg.apply(l, r, apple);
                }
                for (auto [l, r] : hld.path(0, hld.parent(u), false)) {
                    ++r;
                    sz.add(l, r, -sz.get(val.second));
                }
                seg.apply(hld.in_time(u), hld.out_time(u), apple);
            }
        } else {
            cout << sz.get(0) << '\n';
        }
        /*REP(i, n) {
            Ops::Value val = seg.prod(i, i + 1);
            cout << "v = " << hld.time_to_vertex(i) << ", val = (" << val.first << ", " << val.second << ")\n";
        }*/
    }
}
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