結果

問題 No.1002 Twotone
ユーザー 👑 hitonanodehitonanode
提出日時 2020-02-29 00:16:20
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
TLE  
(最新)
AC  
(最初)
実行時間 -
コード長 7,677 bytes
コンパイル時間 3,222 ms
コンパイル使用メモリ 201,216 KB
実行使用メモリ 25,424 KB
最終ジャッジ日時 2024-04-21 21:11:52
合計ジャッジ時間 29,387 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 454 ms
15,024 KB
testcase_04 AC 651 ms
18,700 KB
testcase_05 AC 655 ms
18,708 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 320 ms
12,724 KB
testcase_08 AC 571 ms
18,496 KB
testcase_09 AC 588 ms
18,504 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 813 ms
15,964 KB
testcase_12 AC 1,110 ms
19,292 KB
testcase_13 AC 1,075 ms
19,556 KB
testcase_14 AC 3 ms
5,376 KB
testcase_15 AC 366 ms
12,284 KB
testcase_16 AC 997 ms
19,300 KB
testcase_17 AC 1,042 ms
19,424 KB
testcase_18 AC 3 ms
5,376 KB
testcase_19 AC 1,020 ms
19,484 KB
testcase_20 AC 1,219 ms
25,424 KB
testcase_21 AC 1,255 ms
25,016 KB
testcase_22 AC 3 ms
5,376 KB
testcase_23 AC 787 ms
15,484 KB
testcase_24 AC 1,559 ms
23,760 KB
testcase_25 AC 1,536 ms
22,356 KB
testcase_26 AC 2 ms
5,376 KB
testcase_27 AC 97 ms
15,120 KB
testcase_28 AC 194 ms
20,828 KB
testcase_29 AC 169 ms
20,696 KB
testcase_30 AC 3 ms
5,376 KB
testcase_31 AC 149 ms
20,412 KB
testcase_32 AC 211 ms
20,440 KB
testcase_33 AC 177 ms
20,440 KB
testcase_34 TLE -
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>
using namespace std;
using lint = long long int;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((lint)(x).size())
#define POW2(n) (1LL << (n))
#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> void ndarray(vector<T> &vec, int len) { vec.resize(len); }
template<typename T, typename... Args> void ndarray(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); }
template<typename T> bool mmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template<typename T> bool mmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
template<typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template<typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template<typename T> istream &operator>>(istream &is, vector<T> &vec){ for (auto &v : vec) is >> v; return is; }
///// This part below is only for debug, not used /////
template<typename T> ostream &operator<<(ostream &os, const vector<T> &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> ostream &operator<<(ostream &os, const deque<T> &vec){ os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> ostream &operator<<(ostream &os, const set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const unordered_set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; }
template<typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
template<typename TK, typename TV> ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl;
///// END /////


vector<vector<int>> edge;
vector<int> color;
vector<pint> uv;
lint ret;

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

    Tree() : Tree(0) {}
    Tree(int v) : V(v), E(0), to(v), par(v, NO_PARENT), subtree_size(v) {}

    std::vector<int> color;
    void add_edge(int v1, int v2, int c)
    {
        to[v1].emplace_back(v2, E);
        to[v2].emplace_back(v1, E);
        color.emplace_back(c);
        E++;
        available_edge.emplace_back(1);
    }

    int _dfs_fixroot(int now, int prv)
    {
        subtree_size[now] = 1;
        for (auto nxt : to[now]) {
            if (nxt.first != prv and available_edge[nxt.second]) {
                par[nxt.first] = now;
                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);
    }
    pint 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]);
    }
    lint ret;

    unordered_map<int, lint> mp;
    void cddfs(int now, int prv, int c1, int c2)
    {
        for (auto p : to[now]) if (p.first != prv and available_edge[p.second]) {
            int nxt = p.first, eid = p.second;
            int c = color[eid];
            int c2new = c2;
            if (c2 >= 0 and c != c2 and c != c1) continue;
            if (c != c1) c2new = c;
            mp[c2new]++;
            cddfs(nxt, now, c1, c2new);
        }
    }
    int dfscnt(int now, int prv, int c) {
        int ret = 1;
        for (auto p : to[now]) if (available_edge[p.second] and color[p.second] == c and p.first != prv) ret += dfscnt(p.first, now, c);
        return ret;
    }
    void centroid_decomposition(int now) {
        fix_root(now);
        now = detect_centroids(now).first;
        unordered_map<int, lint> singlemp;
        for (auto p : to[now]) if (available_edge[p.second]) singlemp[color[p.second]] += dfscnt(p.first, now, color[p.second]);

        lint nbt = 0;
        for (auto p : singlemp) {
            ret += nbt * p.second;
            nbt += p.second;
        }

        unordered_map<int, vector<int>> c2nxt;
        for (auto p : to[now]) if (available_edge[p.second]) {
            c2nxt[color[p.second]].push_back(p.first);
        }

        map<pint, lint> mem;
        for (auto p : to[now]) if (available_edge[p.second])
        {
            int nxt = p.first, col = color[p.second];
            mp.clear();
            mp[-1] = 1;
            cddfs(nxt, now, col, -1);
            for (auto p : mp) if (p.first >= 0) {
                ret += p.second;
                pint c = minmax(col, p.first);
                if (mem.count(c)) ret += p.second * mem[c];
                ret += p.second * singlemp[p.first];
                ret += p.second * (singlemp[col] - mp[-1]);
            }
            for (auto p : mp) mem[minmax(col, p.first)] += p.second;
        }

        for (auto p : to[now]) {
            if (!available_edge[p.second]) continue;
            available_edge[p.second] = 0;
            centroid_decomposition(p.first);
        }
    }
};

int main()
{
    int N, K;
    cin >> N >> K;
    Tree tree(N);
    REP(e, N - 1) {
        int u, v, c;
        cin >> u >> v >> c;
        tree.add_edge(u - 1, v - 1, c);
    }
    tree.ret = 0;
    tree.centroid_decomposition(0);
    cout << tree.ret << endl;
}
0