結果

問題 No.1002 Twotone
ユーザー 👑 hitonanodehitonanode
提出日時 2022-09-25 05:00:17
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,527 ms / 5,000 ms
コード長 11,967 bytes
コンパイル時間 2,418 ms
コンパイル使用メモリ 199,692 KB
実行使用メモリ 65,292 KB
最終ジャッジ日時 2023-08-24 00:46:23
合計ジャッジ時間 23,951 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge15
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 2 ms
4,380 KB
testcase_01 AC 2 ms
4,376 KB
testcase_02 AC 2 ms
4,380 KB
testcase_03 AC 435 ms
31,716 KB
testcase_04 AC 599 ms
40,244 KB
testcase_05 AC 594 ms
39,928 KB
testcase_06 AC 1 ms
4,380 KB
testcase_07 AC 340 ms
26,380 KB
testcase_08 AC 610 ms
41,544 KB
testcase_09 AC 602 ms
41,528 KB
testcase_10 AC 2 ms
4,380 KB
testcase_11 AC 724 ms
33,184 KB
testcase_12 AC 1,023 ms
42,236 KB
testcase_13 AC 1,043 ms
42,132 KB
testcase_14 AC 2 ms
4,380 KB
testcase_15 AC 483 ms
25,276 KB
testcase_16 AC 1,060 ms
42,180 KB
testcase_17 AC 1,095 ms
42,116 KB
testcase_18 AC 2 ms
4,380 KB
testcase_19 AC 902 ms
48,048 KB
testcase_20 AC 1,113 ms
65,292 KB
testcase_21 AC 1,105 ms
64,140 KB
testcase_22 AC 2 ms
4,376 KB
testcase_23 AC 816 ms
37,652 KB
testcase_24 AC 1,460 ms
61,524 KB
testcase_25 AC 1,527 ms
57,528 KB
testcase_26 AC 1 ms
4,380 KB
testcase_27 AC 103 ms
26,920 KB
testcase_28 AC 221 ms
39,228 KB
testcase_29 AC 169 ms
39,096 KB
testcase_30 AC 1 ms
4,380 KB
testcase_31 AC 161 ms
38,728 KB
testcase_32 AC 243 ms
39,276 KB
testcase_33 AC 176 ms
39,108 KB
testcase_34 AC 742 ms
64,704 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 <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r.first, l.second + r.second); }
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r.first, l.second - r.second); }
template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <class T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <class T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; }

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
#if __cplusplus >= 201703L
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
#endif
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; }
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl
#define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr)
#else
#define dbg(x) ((void)0)
#define dbgif(cond, x) ((void)0)
#endif


struct CentroidDecomposition {
    int NO_PARENT = -1;
    int V;
    int E;
    std::vector<std::vector<std::pair<int, int>>> to; // (node_id, edge_id)
    std::vector<int> par;                             // parent node_id par[root] = -1
    std::vector<std::vector<int>> chi;                // children id's
    std::vector<int> subtree_size;                    // size of each subtree
    std::vector<int> available_edge;                  // If 0, ignore the corresponding edge.

    CentroidDecomposition(int v = 0)
        : V(v), E(0), to(v), par(v, NO_PARENT), chi(v), subtree_size(v) {}
    CentroidDecomposition(const std::vector<std::vector<int>> &to_)
        : CentroidDecomposition(to_.size()) {
        for (int i = 0; i < V; i++) {
            for (auto j : to_[i]) {
                if (i < j) { add_edge(i, j); }
            }
        }
    }

    void add_edge(int v1, int v2) {
        to[v1].emplace_back(v2, E), to[v2].emplace_back(v1, E), E++;
        available_edge.emplace_back(1);
    }

    int _dfs_fixroot(int now, int prv) {
        chi[now].clear(), subtree_size[now] = 1;
        for (auto nxt : to[now]) {
            if (nxt.first != prv and available_edge[nxt.second]) {
                par[nxt.first] = now, chi[now].push_back(nxt.first);
                subtree_size[now] += _dfs_fixroot(nxt.first, now);
            }
        }
        return subtree_size[now];
    }

    void fix_root(int root) {
        par[root] = NO_PARENT;
        _dfs_fixroot(root, -1);
    }

    //// Centroid Decpmposition ////
    std::vector<int> centroid_cand_tmp;
    void _dfs_detect_centroids(int now, int prv, int n) {
        bool is_centroid = true;
        for (auto nxt : to[now]) {
            if (nxt.first != prv and available_edge[nxt.second]) {
                _dfs_detect_centroids(nxt.first, now, n);
                if (subtree_size[nxt.first] > n / 2) is_centroid = false;
            }
        }
        if (n - subtree_size[now] > n / 2) is_centroid = false;
        if (is_centroid) centroid_cand_tmp.push_back(now);
    }
    std::pair<int, int> detect_centroids(int r) { // ([centroid_node_id1], ([centroid_node_id2]|-1))
        centroid_cand_tmp.clear();
        while (par[r] != NO_PARENT) r = par[r];
        int n = subtree_size[r];
        _dfs_detect_centroids(r, -1, n);
        if (centroid_cand_tmp.size() == 1)
            return std::make_pair(centroid_cand_tmp[0], -1);
        else
            return std::make_pair(centroid_cand_tmp[0], centroid_cand_tmp[1]);
    }

    std::vector<int> _cd_vertices;
    void _centroid_decomposition(int now) {
        fix_root(now);
        now = detect_centroids(now).first;
        _cd_vertices.emplace_back(now);
        /*
        do something
        */
        for (auto p : to[now]) {
            int nxt, eid;
            std::tie(nxt, eid) = p;
            if (available_edge[eid] == 0) continue;
            available_edge[eid] = 0;
            _centroid_decomposition(nxt);
        }
    }
    std::vector<int> centroid_decomposition(int x) {
        _cd_vertices.clear();
        _centroid_decomposition(x);
        return _cd_vertices;
    }
};


int main() {
    int N, K;
    cin >> N >> K;
    CentroidDecomposition cd(N);
    vector<vector<pint>> to(N);
    REP(e, N - 1) {
        int u, v, c;
        cin >> u >> v >> c;
        --u, --v, --c;
        cd.add_edge(u, v);
        to.at(u).emplace_back(v, c);
        to.at(v).emplace_back(u, c);
    }

    vector<int> alive(N, 1);

    lint ret = 0;

    for (const int root : cd.centroid_decomposition(0)) {
        alive.at(root) = 0;
        unordered_map<int, int> cnt1;
        int cnt1sum = 0;
        map<pint, int> cnt2;
        unordered_map<int, int> cnt2half;

        vector<pint> st;
        auto rec = [&](auto &&self, int now, int prv, int c1, int c2) -> void {
            // assert(c1 > c2);
            if (c1 >= 0 and c2 >= 0) ++ret;

            if (c2 >= 0) {
                if (cnt2.count(minmax(c1, c2))) ret += cnt2[minmax(c1, c2)];
                if (cnt1.count(c1)) ret += cnt1[c1];
                if (cnt1.count(c2)) ret += cnt1[c2];
            } else {
                ret += cnt1sum - (cnt1.count(c1) ? cnt1[c1] : 0);
                if (cnt2half.count(c1)) ret += cnt2half[c1];
            }

            for (auto [nxt, nxtc] : to[now]) {
                if (nxt == prv) continue;
                if (!alive.at(nxt)) continue;
                if (c2 >= 0 and c1 != nxtc and c2 != nxtc) continue;
                if (nxtc == c1 or nxtc == c2) {
                    self(self, nxt, now, c1, c2);
                } else if (c2 == -1 and c1 != nxtc) {
                    self(self, nxt, now, c1, nxtc);
                } else {
                    exit(1);
                }
            }

            st.emplace_back(c1, c2);
        };

        for (auto [nxt, c] : to.at(root)) {
            if (!alive.at(nxt)) continue;
            rec(rec, nxt, root, c, -1);
            for (auto [c1, c2] : st) {
                if (c2 >= 0) cnt2[minmax(c1, c2)]++, cnt2half[c1]++, cnt2half[c2]++;
                if (c2 < 0) cnt1[c1]++, cnt1sum++;
            }
            st.clear();
        }
        dbg(make_tuple(root, ret));
    }
    cout << ret << endl;
}
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