#917353 (C++17) No.2439 Fragile Apple Tree

提出ソース

結果

問題	No.2439 Fragile Apple Tree
ユーザー	ebi_fly
提出日時	2023-10-02 00:50:18
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	1,999 ms / 10,000 ms
コード長	13,541 bytes
コンパイル時間	2,999 ms
コンパイル使用メモリ	175,676 KB
実行使用メモリ	101,788 KB
最終ジャッジ日時	2024-07-26 13:34:32
合計ジャッジ時間	31,805 ms
ジャッジサーバーID （参考情報）	judge1 / judge3

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	781 ms 71,992 KB
testcase_01	AC	1,652 ms 86,400 KB
testcase_02	AC	1,569 ms 86,376 KB
testcase_03	AC	540 ms 101,788 KB
testcase_04	AC	704 ms 101,656 KB
testcase_05	AC	1,518 ms 86,528 KB
testcase_06	AC	1,607 ms 86,508 KB
testcase_07	AC	1,999 ms 87,008 KB
testcase_08	AC	1,987 ms 87,136 KB
testcase_09	AC	2 ms 5,376 KB
testcase_10	AC	2 ms 5,376 KB
testcase_11	AC	2 ms 5,376 KB
testcase_12	AC	2 ms 5,376 KB
testcase_13	AC	2 ms 5,376 KB
testcase_14	AC	1,881 ms 83,208 KB
testcase_15	AC	1,113 ms 86,392 KB
testcase_16	AC	1,511 ms 86,504 KB
testcase_17	AC	1,480 ms 86,392 KB
testcase_18	AC	665 ms 71,108 KB
testcase_19	AC	496 ms 37,156 KB
testcase_20	AC	230 ms 31,000 KB
testcase_21	AC	55 ms 5,376 KB
testcase_22	AC	804 ms 46,960 KB
testcase_23	AC	354 ms 23,876 KB
testcase_24	AC	433 ms 34,176 KB
testcase_25	AC	463 ms 58,368 KB
testcase_26	AC	571 ms 66,800 KB
testcase_27	AC	383 ms 44,004 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	603 ms 87,008 KB
testcase_32	AC	591 ms 87,004 KB

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ソースコード

raw source code

#line 1 "template/template.hpp"
#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <climits>
#include <cmath>
#include <complex>
#include <cstddef>
#include <cstdint>
#include <cstdlib>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <map>
#include <memory>
#include <numeric>
#include <optional>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define rep(i, a, n) for (int i = (int)(a); i < (int)(n); i++)
#define rrep(i, a, n) for (int i = ((int)(n)-1); i >= (int)(a); i--)
#define Rep(i, a, n) for (i64 i = (i64)(a); i < (i64)(n); i++)
#define RRep(i, a, n) for (i64 i = ((i64)(n)-i64(1)); i >= (i64)(a); i--)
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()

#line 2 "template/debug_template.hpp"

#line 4 "template/debug_template.hpp"

namespace ebi {

#ifdef LOCAL
#define debug(...)                                                      \
    std::cerr << "LINE: " << __LINE__ << "  [" << #__VA_ARGS__ << "]:", \
        debug_out(__VA_ARGS__)
#else
#define debug(...)
#endif

void debug_out() {
    std::cerr << std::endl;
}

template <typename Head, typename... Tail> void debug_out(Head h, Tail... t) {
    std::cerr << " " << h;
    if (sizeof...(t) > 0) std::cerr << " :";
    debug_out(t...);
}

}
#line 2 "template/int_alias.hpp"

#line 4 "template/int_alias.hpp"

namespace ebi {

using std::size_t;
using i8 = std::int8_t;
using u8 = std::uint8_t;
using i16 = std::int16_t;
using u16 = std::uint16_t;
using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;

}
#line 2 "template/io.hpp"

#line 7 "template/io.hpp"

namespace ebi {

template <typename T1, typename T2>
std::ostream &operator<<(std::ostream &os, const std::pair<T1, T2> &pa) {
    return os << pa.first << " " << pa.second;
}

template <typename T1, typename T2>
std::istream &operator>>(std::istream &os, std::pair<T1, T2> &pa) {
    return os >> pa.first >> pa.second;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &vec) {
    for (std::size_t i = 0; i < vec.size(); i++)
        os << vec[i] << (i + 1 == vec.size() ? "" : " ");
    return os;
}

template <typename T>
std::istream &operator>>(std::istream &os, std::vector<T> &vec) {
    for (T &e : vec) std::cin >> e;
    return os;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::optional<T> &opt) {
    if (opt) {
        os << opt.value();
    } else {
        os << "invalid value";
    }
    return os;
}

void fast_io() {
    std::cout << std::fixed << std::setprecision(15);
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);
}

}  // namespace ebi
#line 2 "template/utility.hpp"

#line 5 "template/utility.hpp"

#line 7 "template/utility.hpp"

namespace ebi {

template <class T> inline bool chmin(T &a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> inline bool chmax(T &a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> T safe_ceil(T a, T b) {
    if (a % b == 0)
        return a / b;
    else if (a >= 0)
        return (a / b) + 1;
    else
        return -((-a) / b);
}

template <class T> T safe_floor(T a, T b) {
    if (a % b == 0)
        return a / b;
    else if (a >= 0)
        return a / b;
    else
        return -((-a) / b) - 1;
}

constexpr i64 LNF = std::numeric_limits<i64>::max() / 4;

constexpr int INF = std::numeric_limits<int>::max() / 2;

const std::vector<int> dy = {1, 0, -1, 0, 1, 1, -1, -1};
const std::vector<int> dx = {0, 1, 0, -1, 1, -1, 1, -1};

}  // namespace ebi
#line 2 "graph/template.hpp"

#line 4 "graph/template.hpp"

namespace ebi {

template <class T> struct Edge {
    int to;
    T cost;
    Edge(int _to, T _cost = 1) : to(_to), cost(_cost) {}
};

template <class T> struct Graph : std::vector<std::vector<Edge<T>>> {
    using std::vector<std::vector<Edge<T>>>::vector;
    void add_edge(int u, int v, T w, bool directed = false) {
        (*this)[u].emplace_back(v, w);
        if (directed) return;
        (*this)[v].emplace_back(u, w);
    }
};

struct graph : std::vector<std::vector<int>> {
    using std::vector<std::vector<int>>::vector;
    void add_edge(int u, int v, bool directed = false) {
        (*this)[u].emplace_back(v);
        if (directed) return;
        (*this)[v].emplace_back(u);
    }
};

}  // namespace ebi
#line 3 "a.cpp"

#include <atcoder/lazysegtree>
#line 2 "tree/heavy_light_decomposition.hpp"

#line 6 "tree/heavy_light_decomposition.hpp"

namespace ebi {

struct heavy_light_decomposition {
  private:
    void dfs_sz(int v) {
        for (auto &nv : g[v]) {
            if (nv == par[v]) continue;
            par[nv] = v;
            depth[nv] = depth[v] + 1;
            dfs_sz(nv);
            sz[v] += sz[nv];
            if (sz[nv] > sz[g[v][0]] || g[v][0] == par[v])
                std::swap(nv, g[v][0]);
        }
    }

    void dfs_hld(int v) {
        in[v] = t++;
        rev[in[v]] = v;
        for (auto nv : g[v]) {
            if (nv == par[v]) continue;
            nxt[nv] = (nv == g[v][0] ? nxt[v] : nv);
            dfs_hld(nv);
        }
        out[v] = t;
    }

    // [u, v) パスの取得 (v は u の祖先)
    std::vector<std::pair<int, int>> ascend(int u, int v) const {
        std::vector<std::pair<int, int>> res;
        while (nxt[u] != nxt[v]) {
            res.emplace_back(in[u], in[nxt[u]]);
            u = par[nxt[u]];
        }
        if (u != v) res.emplace_back(in[u], in[v] + 1);
        return res;
    }

    // (u, v] パスの取得 (u は v の祖先)
    std::vector<std::pair<int, int>> descend(int u, int v) const {
        if (u == v) return {};
        if (nxt[u] == nxt[v]) return {{in[u] + 1, in[v]}};
        auto res = descend(u, par[nxt[v]]);
        res.emplace_back(in[nxt[v]], in[v]);
        return res;
    }

  public:
    heavy_light_decomposition(const std::vector<std::vector<int>> &gh,
                              int root = 0)
        : n(gh.size()),
          g(gh),
          sz(n, 1),
          in(n),
          out(n),
          nxt(n),
          par(n, -1),
          depth(n, 0),
          rev(n) {
        dfs_sz(root);
        dfs_hld(root);
    }

    int idx(int u) const {
        return in[u];
    }

    int rev_idx(int i) const {
        return rev[i];
    }

    int la(int v, int k) const {
        while (1) {
            int u = nxt[v];
            if (in[u] <= in[v] - k) return rev[in[v] - k];
            k -= in[v] - in[u] + 1;
            v = par[u];
        }
    }

    int lca(int u, int v) const {
        while (nxt[u] != nxt[v]) {
            if (in[u] < in[v]) std::swap(u, v);
            u = par[nxt[u]];
        }
        return depth[u] < depth[v] ? u : v;
    }

    int jump(int s, int t, int i) const {
        if (i == 0) return s;
        int l = lca(s, t);
        int d = depth[s] + depth[t] - depth[l] * 2;
        if (d < i) return -1;
        if (depth[s] - depth[l] >= i) return la(s, i);
        i = d - i;
        return la(t, i);
    }

    std::vector<int> path(int s, int t) const {
        int l = lca(s, t);
        std::vector<int> a, b;
        for (; s != l; s = par[s]) a.emplace_back(s);
        for (; t != l; t = par[t]) b.emplace_back(t);
        a.emplace_back(l);
        std::reverse(b.begin(), b.end());
        a.insert(a.end(), b.begin(), b.end());
        return a;
    }

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

    int distance_from_root(int v) const {
        return depth[v];
    }

    bool at_path(int u, int v, int s) const {
        return distance(u, v) == distance(u, s) + distance(s, v);
    }

    template <class F>
    void path_noncommutative_query(int u, int v, bool vertex,
                                   const F &f) const {
        int l = lca(u, v);
        for (auto [a, b] : ascend(u, l)) f(a + 1, b);
        if (vertex) f(in[l], in[l] + 1);
        for (auto [a, b] : descend(l, v)) f(a, b + 1);
    }

    std::vector<std::pair<int, int>> path_sections(int u, int v,
                                                   bool vertex) const {
        int l = lca(u, v);
        std::vector<std::pair<int, int>> sections;
        for (auto [a, b] : ascend(u, l)) sections.emplace_back(a + 1, b);
        if (vertex) sections.emplace_back(in[l], in[l] + 1);
        for (auto [a, b] : descend(l, v)) sections.emplace_back(a, b + 1);
        return sections;
    }

    template<class F>
    int max_path(int u, int v, bool vertex, F binary_search) const {
        int l = lca(u, v);
        for (auto [a, b] : ascend(u, l)) {
            a++;
            int m = binary_search(a, b);
            if(m == b) {
                u = rev[b];
            }
            else {
                return (m == a ? u : rev[m]);
            }
        }
        if (vertex) {
            int m = binary_search(in[l], in[l]+1);
            if(m == in[l]) {
                return u;
            }
            else {
                u = l;
            }
        }
        for (auto [a, b] : descend(l, v)) {
            b++;
            int m = binary_search(a, b);
            if(m == b) {
                u = rev[b-1];
            }
            else {
                return m == a ? u : rev[m];
            }
        }
        return v;
    }

    template <class F> void subtree_query(int u, bool vertex, const F &f) {
        f(in[u] + int(!vertex), out[u]);
    }

  private:
    int n;
    std::vector<std::vector<int>> g;
    std::vector<int> sz, in, out, nxt, par, depth, rev;

    int t = 0;
};

}  // namespace ebi
#line 6 "a.cpp"

namespace ebi {

i64 op(i64 a, i64 b) {
    return a < b ? a : b;
}

i64 e() {
    return LNF;
}

i64 mapping(i64 f, i64 x) {
    return f + x;
}

i64 composition(i64 f, i64 g) {
    return f + g;
}

i64 id() {
    return 0;
}

void main_() {
    int n,q;
    std::cin >> n >> q;
    Graph<i64> G(n);
    graph g(n);
    rep(i,0,n-1) {
        int a,b;
        i64 c;
        std::cin >> a >> b >> c;
        a--; b--;
        g.add_edge(a, b);
        G.add_edge(a, b, c);
    }
    std::vector<int> par(n, -1);
    std::vector<i64> c(n, 0);
    auto dfs = [&](auto &&self, int v) -> void {
        for(auto e: G[v]) {
            if(e.to == par[v]) continue;
            par[e.to] = v;
            c[e.to] = e.cost;
            self(self, e.to);
        }
    };
    dfs(dfs, 0);
    heavy_light_decomposition hld(g);
    {
        std::vector<i64> cs(n, e());
        rep(i,1,n) {
            cs[hld.idx(i)] = c[i];
        }
        c = cs;
    }
    atcoder::lazy_segtree<i64, op, e, i64, mapping, composition, id> seg(c);
    auto add_path = [&](int u, int v, i64 val) -> void {
        auto f = [&](int l, int r) -> void {
            if(l < r) seg.apply(l, r, val);
            else seg.apply(r, l, val);
        };
        hld.path_noncommutative_query(u, v, false, f);
    };
    auto path_min = [&](int u, int v) -> i64 {
        i64 ret = e();
        auto f = [&](int l, int r) -> void {
            if(l < r) ret = op(ret, seg.prod(l, r));
            else ret = op(ret, seg.prod(r, l));
        };
        hld.path_noncommutative_query(u, v, false, f);
        return ret;
    };
    std::vector<int> broken(n, 1);
    std::vector<i64> apples(n, 0);
    int ans = n;
    auto dfs_break = [&](auto &&self, int v) -> i64 {
        broken[v] = 0;
        ans--;
        i64 sum = apples[v];
        for(auto nv: g[v]) {
            if(nv == par[v]) continue;
            if(broken[nv] == 0) continue;
            sum += self(self, nv);
        }
        return sum;
    };
    while(q--) {
        int t;
        std::cin >> t;
        if(t == 1) {
            int v;
            i64 x;
            std::cin >> v >> x;
            v--;
            add_path(v, 0, -x);
            apples[v] += x;
            if(path_min(v, 0) > 0) continue;
            i64 ret = e();
            auto f = [&](i64 x) {
                return op(ret, x) > 0;
            };
            auto binary_search = [&](int a, int b) -> int {
                if(a > b) {
                    i64 x = seg.prod(b, a);
                    if(f(x)) {
                        ret = op(ret, x);
                        return b;
                    }
                    return seg.min_left(a, f);
                }
                else {
                    i64 x = seg.prod(a, b);
                    if(f(x)) {
                        ret = op(ret, x);
                        return b;
                    }
                    return seg.max_right(a, f);
                }
            };
            int nv;
            if(seg.get(hld.idx(v)) <= 0) nv = v;
            else {
                nv = hld.max_path(v, 0, false, binary_search);
                nv = hld.jump(nv, 0, 1);
            }
            assert(nv != -1 && broken[nv] > 0);
            i64 rem = dfs_break(dfs_break, nv);
            add_path(hld.jump(nv, 0, 1), 0, rem);
        }
        else {
            std::cout << ans << '\n';
        }
    }
}

}  // namespace ebi


int main() {
    ebi::fast_io();
    int t = 1;
    // std::cin >> t;
    while (t--) {
        ebi::main_();
    }
    return 0;
}

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結果

テストケース

ソースコード