結果

問題 No.898 tri-βutree
ユーザー hitonanodehitonanode
提出日時 2019-10-22 22:25:23
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 299 ms / 4,000 ms
コード長 6,473 bytes
コンパイル時間 2,217 ms
コンパイル使用メモリ 187,860 KB
実行使用メモリ 23,060 KB
最終ジャッジ日時 2024-11-08 23:07:46
合計ジャッジ時間 8,854 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
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 196 ms
23,060 KB
testcase_01 AC 1 ms
5,248 KB
testcase_02 AC 3 ms
5,248 KB
testcase_03 AC 2 ms
5,248 KB
testcase_04 AC 2 ms
5,248 KB
testcase_05 AC 2 ms
5,248 KB
testcase_06 AC 2 ms
5,248 KB
testcase_07 AC 291 ms
19,524 KB
testcase_08 AC 289 ms
19,516 KB
testcase_09 AC 290 ms
19,524 KB
testcase_10 AC 299 ms
19,392 KB
testcase_11 AC 280 ms
19,520 KB
testcase_12 AC 288 ms
19,520 KB
testcase_13 AC 293 ms
19,648 KB
testcase_14 AC 284 ms
19,520 KB
testcase_15 AC 294 ms
19,520 KB
testcase_16 AC 297 ms
19,524 KB
testcase_17 AC 296 ms
19,516 KB
testcase_18 AC 287 ms
19,388 KB
testcase_19 AC 281 ms
19,520 KB
testcase_20 AC 289 ms
19,592 KB
testcase_21 AC 281 ms
19,524 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 <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 /////
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/tag_and_trait.hpp>
using namespace __gnu_pbds; // find_by_order(), order_of_key()
template<typename TK> using pbds_set = tree<TK, null_type, less<TK>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename TK, typename TV> using pbds_map = tree<TK, TV, less<TK>, rb_tree_tag, tree_order_statistics_node_update>;
*/

class UndirectedWeightedTree
{
    using T = lint;
    const int INVALID = -1;
    int V, lgV;
    int E;
    int root;
    vector<vector<pint>> adj; // (nxt_vertex, edge_id)
    vector<pint> edges;
    vector<T> weight;  // w[edge_id]
    vector<int> par;
    vector<int> depth;
    vector<T> acc_weight; // w_sum[vertex_id]
public:
    UndirectedWeightedTree(int N = 0): V(N), E(0), adj(N) {
        lgV = 1;
        while (1 << lgV < V) lgV++;
    }

    void add_edge(int u, int v, T w)
    {
        adj[u].emplace_back(v, E);
        adj[v].emplace_back(u, E);
        edges.emplace_back(u, v);
        weight.emplace_back(w);
        E++;
    }

    void _fix_root_dfs(int now, int prv, int prv_edge_id)
    {
        par[now] = prv;
        if (prv_edge_id != INVALID) acc_weight[now] = acc_weight[prv] + weight[prv_edge_id];
        for (auto nxt : adj[now]) if (nxt.first != prv)
        {
            depth[nxt.first] = depth[now] + 1;
            _fix_root_dfs(nxt.first, now, nxt.second);
        }
    }
    void fix_root(int r)
    {
        root = r;
        par.resize(V);
        depth.assign(V, 0);
        acc_weight.resize(V);
        _fix_root_dfs(root, INVALID, INVALID);
    }

    vector<vector<int>> doubling;
    void doubling_precalc()
    {
        doubling.assign(lgV, vector<int>(V));
        doubling[0] = par;
        REP(d, lgV - 1) REP(i, V)
        {
            if (doubling[d][i] == INVALID) doubling[d + 1][i] = INVALID;
            else doubling[d + 1][i] = doubling[d][doubling[d][i]];
        }
    }

    int kth_parent(int x, int k)
    {
        REP(d, lgV)
        {
            if (x == INVALID) return INVALID;
            if (k & (1 << d)) x = doubling[d][x];
        }
        return x;
    }

    int lowest_common_ancestor(int u, int v)
    {
        if (depth[u] > depth[v]) swap(u, v);

        v = kth_parent(v, depth[v] - depth[u]);
        if (u == v) return u;
        IREP(d, lgV)
        {
            if (doubling[d][u] != doubling[d][v]) u = doubling[d][u], v = doubling[d][v];
        }
        return par[u];
    }
    T path_length(int u, int v)
    {
        int r = lowest_common_ancestor(u, v);
        return acc_weight[u] + acc_weight[v] - acc_weight[r] * 2;
    }
};

int main()
{
    int N;
    cin >> N;
    UndirectedWeightedTree g(N);
    REP(_, N - 1)
    {
        int u, v, w;
        cin >> u >> v >> w;
        g.add_edge(u, v, w);
    }
    g.fix_root(0);
    g.doubling_precalc();

    int Q;
    cin >> Q;
    REP(_, Q)
    {
        int x, y, z;
        cin >> x >> y >> z;
        int xy = g.lowest_common_ancestor(x, y);
        int xyz = g.lowest_common_ancestor(xy, z);
        if (xy != xyz)
        {
            cout << g.path_length(xy, z) + g.path_length(x, y) << endl;
        }
        else
        {
            int v = g.lowest_common_ancestor(x, z) + g.lowest_common_ancestor(y, z) - xy;
            cout << g.path_length(x, y) + g.path_length(z, v) << endl;
        }
    }
}
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