#953036 (C++23) No.2642 Don't cut line!

提出ソース
結果

問題	No.2642 Don't cut line!
ユーザー	ebi_fly
提出日時	2024-02-19 23:08:16
言語	C++23 (gcc 13.3.0 + boost 1.87.0)
結果	AC
実行時間	134 ms / 4,000 ms
コード長	15,248 bytes
コンパイル時間	3,662 ms
コンパイル使用メモリ	276,424 KB
実行使用メモリ	26,280 KB
最終ジャッジ日時	2024-09-29 03:37:42
合計ジャッジ時間	8,046 ms
ジャッジサーバーID （参考情報）	judge1 / 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 * 3
other	AC * 33
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ソースコード

raw source code
#line 2 "data_structure/segtree.hpp"

#include <cassert>
#include <vector>

namespace ebi {

template <class S, S (*op)(S, S), S (*e)()> struct segtree {
  private:
    int n;
    int sz;
    std::vector<S> data;

    void update(int i) {
        data[i] = op(data[2 * i], data[2 * i + 1]);
    }

  public:
    segtree(int n_) : segtree(std::vector<S>(n_, e())) {}
    segtree(const std::vector<S> &v) : n((int)v.size()), sz(1) {
        while (sz < n) sz *= 2;
        data = std::vector<S>(2 * sz, e());
        for (int i = 0; i < n; i++) {
            data[sz + i] = v[i];
        }
        for (int i = sz - 1; i >= 1; i--) update(i);
    }

    void set(int p, S x) {
        assert(0 <= p && p < n);
        p += sz;
        data[p] = x;
        while (p > 1) {
            p >>= 1;
            update(p);
        }
    }

    S get(int p) const {
        assert(0 <= p && p < n);
        return data[p + sz];
    }

    S prod(int l, int r) const {
        assert(0 <= l && l <= r && r <= n);
        S sml = e(), smr = e();
        l += sz;
        r += sz;
        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);
    }

    S all_prod() const {
        return data[1];
    }

    template <class F> int max_right(int l, F f) const {
        assert(0 <= l && l < n);
        assert(f(e()));
        if (l == n) return n;
        l += sz;
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!f(op(sm, data[l]))) {
                while (l < sz) {
                    l = 2 * l;
                    if (f(op(sm, data[l]))) {
                        sm = op(sm, data[l]);
                        l++;
                    }
                }
                return l - sz;
            }
            sm = op(sm, data[l]);
            l++;
        } while ((l & -l) != l);
        return n;
    }

    template <class F> int min_left(int r, F f) const {
        assert(0 <= r && r <= n);
        assert(f(e()));
        if (r == 0) return 0;
        r += sz;
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!f(op(data[r], sm))) {
                while (r < sz) {
                    r = 2 * r + 1;
                    if (f(op(data[r], sm))) {
                        sm = op(data[r], sm);
                        r--;
                    }
                }
                return r + 1 - sz;
            }
            sm = op(data[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

    S operator[](int p) const {
        return data[sz + p];
    }
};

}  // namespace ebi
#line 2 "data_structure/unionfind.hpp"

#line 4 "data_structure/unionfind.hpp"

namespace ebi {

struct unionfind {
  private:
    std::vector<int> par;

  public:
    unionfind(int n = 0) : par(n, -1) {}

    bool same(int x, int y) {
        return leader(x) == leader(y);
    }

    bool merge(int x, int y) {
        x = leader(x);
        y = leader(y);
        if (x == y) return false;
        if (par[x] > par[y]) std::swap(x, y);
        par[x] += par[y];
        par[y] = x;
        return true;
    }

    int leader(int x) {
        if (par[x] < 0)
            return x;
        else
            return par[x] = leader(par[x]);
    }

    int size(int x) {
        return -par[leader(x)];
    }

    int count_group() {
        int c = 0;
        for (int i = 0; i < int(par.size()); i++) {
            if (par[i] < 0) c++;
        }
        return c;
    }

    void clear() {
        for (int i = 0; i < int(par.size()); i++) {
            par[i] = -1;
        }
    }
};

}  // namespace ebi
#line 1 "template/template.hpp"
#include <bits/stdc++.h>

#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...);
}

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

#line 4 "template/int_alias.hpp"

namespace ebi {

using ld = long double;
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;

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

#line 5 "template/io.hpp"
#include <optional>
#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 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 8 "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 "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] = num++;
        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] = num;
    }

    // [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((int)gh.size()),
          g(gh),
          sz(n, 1),
          in(n),
          out(n),
          nxt(n),
          par(n, -1),
          depth(n, 0),
          rev(n) {
        nxt[root] = root;
        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 parent(int u) const {
        return par[u];
    }

    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 prev = -1;
        int l = lca(u, v);
        for (auto [a, b] : ascend(u, l)) {
            a++;
            int m = binary_search(a, b);
            if (m == b) {
                prev = rev[b];
            } else {
                return (m == a ? prev : rev[m]);
            }
        }
        if (vertex) {
            int m = binary_search(in[l], in[l] + 1);
            if (m == in[l]) {
                return prev;
            } else {
                prev = l;
            }
        }
        for (auto [a, b] : descend(l, v)) {
            b++;
            int m = binary_search(a, b);
            if (m == b) {
                prev = rev[b - 1];
            } else {
                return m == a ? prev : rev[m - 1];
            }
        }
        return v;
    }

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

    const std::vector<int> &dfs_order() const {
        return rev;
    }

    std::vector<std::pair<int, int>> lca_based_auxiliary_tree_dfs_order(
        std::vector<int> vs) const;

    std::pair<std::vector<int>, std::vector<std::vector<int>>>
    lca_based_auxiliary_tree(std::vector<int> vs) const;

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

    int num = 0;
};

}  // namespace ebi
#line 5 "a.cpp"

namespace ebi {

int op(int a, int b) {
    return a > b ? a : b;
}

int e() {
    return -1;
}

void main_() {
    int n, k;
    i64 c;
    std::cin >> n >> k >> c;
    std::vector<std::array<int, 4>> edges(k);
    for (auto &[u, v, w, p] : edges) {
        std::cin >> u >> v >> w >> p;
        u--;
        v--;
    }
    std::sort(all(edges), [&](auto p, auto q) -> bool { return p[2] < q[2]; });
    unionfind uf(n);
    graph g(n);
    i64 sum = 0;
    std::vector<int> used;
    for (int i = 0; auto [u, v, w, p] : edges) {
        if (!uf.same(u, v)) {
            uf.merge(u, v);
            sum += w;
            g.add_edge(u, v);
            used.emplace_back(i);
        }
        i++;
    }
    heavy_light_decomposition hld(g);
    std::vector<int> d(n, INF);
    for(auto i: used) {
        auto [u, v, w, p] = edges[i];
        if(hld.parent(v) == u) std::swap(u, v);
        d[hld.idx(u)] = w;
    }
    int ans = -1;
    segtree<int, op, e> seg(d);
    auto get_max = [&](int u, int v) -> int {
        int ret = -1;
        auto f = [&](int l, int r) -> void {
            if(l > r) std::swap(l, r);
            chmax(ret, seg.prod(l, r));
        };
        hld.path_noncommutative_query(u, v, false, f);
        return ret;
    };
    for(auto [u, v, w, p]: edges) {
        int min = get_max(u, v);
        if(sum - min + w <= c) {
            chmax(ans, p);
        }
    }
    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

ソースコード
