#424891 (C++17) No.977 アリス仕掛けの摩天楼

• 問題: No.977 アリス仕掛けの摩天楼
• ユーザー: ganariya
• 提出日時: 2020-02-01 17:28:39
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: WA
• 実行時間: -
• コード長: 8,594 bytes
• コンパイル時間: 1,825 ms
• コンパイル使用メモリ: 163,260 KB
• 実行使用メモリ: 12,736 KB
• 最終ジャッジ日時: 2024-09-18 20:07:15
• 合計ジャッジ時間: 2,776 ms
• ジャッジサーバーID （参考情報）: judge1 / judge3

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	2 ms; 5,376 KB
testcase_04	AC	2 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	1 ms; 5,376 KB
testcase_07	AC	1 ms; 5,376 KB
testcase_08	AC	2 ms; 5,376 KB
testcase_09	AC	2 ms; 5,376 KB
testcase_10	WA	-
testcase_11	AC	2 ms; 5,376 KB
testcase_12	AC	2 ms; 5,376 KB
testcase_13	AC	8 ms; 5,376 KB
testcase_14	AC	8 ms; 5,376 KB
testcase_15	AC	8 ms; 5,376 KB
testcase_16	AC	8 ms; 5,376 KB
testcase_17	AC	9 ms; 5,632 KB
testcase_18	AC	23 ms; 6,144 KB
testcase_19	WA	-
testcase_20	AC	33 ms; 6,272 KB
testcase_21	AC	54 ms; 7,936 KB
testcase_22	AC	70 ms; 9,192 KB
testcase_23	AC	74 ms; 9,472 KB
testcase_24	AC	83 ms; 12,736 KB
testcase_25	AC	75 ms; 9,728 KB

ソースコード

//include
//------------------------------------------
#include <vector>
#include <list>
#include <map>
#include <unordered_map>
#include <climits>
#include <set>
#include <unordered_set>
#include <deque>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cctype>
#include <string>
#include <cstring>
#include <ctime>
#include <queue>
#include <random>
#include <chrono>
#include <complex>
#include <regex>
#include <locale>
#include <random>
#include <cassert>
#include <type_traits>

using namespace std;

// typedef
//------------------------------------------
typedef long long LL;
typedef vector<int> VI;
typedef vector<bool> VB;
typedef vector<char> VC;
typedef vector<double> VD;
typedef vector<string> VS;
typedef vector<LL> VLL;
typedef vector<VI> VVI;
typedef vector<VB> VVB;
typedef vector<VS> VVS;
typedef vector<VLL> VVLL;
typedef vector<VVI> VVVI;
typedef vector<VVLL> VVVLL;
typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef pair<int, string> PIS;
typedef pair<string, int> PSI;
typedef pair<string, string> PSS;
typedef vector<PII> VPII;
typedef vector<PLL> VPLL;
typedef vector<VPII> VVPII;
typedef vector<VPLL> VVPLL;
typedef vector<VS> VVS;
typedef map<int, int> MII;
typedef map<LL, LL> MLL;
typedef map<string, int> MSI;
typedef map<int, string> MIS;

// container util
//------------------------------------------
#define ALL(a)  (a).begin(),(a).end()
#define SZ(a) int((a).size())
#define EACH(i, arr) for(typeof((arr).begin()) i=(arr).begin(); i!=(arr).end(); ++i)
#define EXIST(str, e) ((str).find(e)!=(str).end())
#define COUNT(arr, v) count((arr).begin(), (arr).end(), v)
#define SEARCH(v, w) search((v).begin(), (v).end(), (w).begin(), (w).end())
#define SORT(c) sort((c).begin(),(c).end())
#define RSORT(c) sort((c).rbegin(),(c).rend())
#define REVERSE(c) reverse((c).begin(), (c).end())
#define ROTATE_LEFT(arr, c) rotate((arr).begin(), (arr).begin()+(c), (arr).end())
#define ROTATE_RIGHT(arr, c) rotate((arr).rbegin(), (arr).rbegin() + (c), (arr).rend())
#define SUMI(arr) accumulate((arr).begin(), (arr).end(), 0)
#define SUMD(arr) accumulate((arr).begin(), (arr).end(), 0.)
#define SUMLL(arr) accumulate((arr).begin(), (arr).end(), 0LL)
#define MULD(arr) accumulate((arr).begin(), (arr).end(), 1., multiplies<double>())
#define UB(arr, n) upper_bound((arr).begin(), (arr).end(), n)
#define LB(arr, n) lower_bound((arr).begin(), (arr).end(), n)
#define PB push_back
#define MP make_pair
#define ft first
#define sd second


// input output
//------------------------------------------
#define GL(s) getline(cin, (s))
#define INIT() std::ios::sync_with_stdio(false);std::cin.tie(0)
#define OUT(d) std::cout<<(d)
#define OUT_L(d) std::cout<<(d)<<endl
#define FOUT(n, data) std::cout<<std::fixed<<std::setprecision(n)<<(data)
#define FOUT_L(n, data) std::cout<<std::fixed<<std::setprecision(n)<<(data)<<"\n"
#define EL() printf("\n")
#define SHOW_VECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOW_MAP(v) {std::cerr << #v << endl; for(const auto& xxx: v){std::cerr << xxx.first << " " << xxx.second << "\n";}}
#define Yes() printf("Yes\n")
#define No() printf("No\n")
#define YES() printf("YES\n")
#define NO() printf("NO\n")
#define Yay() printf("Yay!\n")
#define Nnn() printf(":(\n")
#define CE(x, y) ((x + y - 1) / (y))


template<typename T1, typename T2>
istream &operator>>(istream &in, pair<T1, T2> &p) {
    in >> p.first >> p.second;
    return in;
}

template<typename T>
istream &operator>>(istream &in, vector<T> &v) {
    for (auto &x: v)
        in >> x;
    return in;
}


template<typename T1, typename T2>
ostream &operator<<(ostream &out, const std::pair<T1, T2> &p) {
    out << "[" << p.first << ", " << p.second << "]" << "\n";
    return out;
}


//repetition
//------------------------------------------
#define FOR(i, a, b) for(int i=(a);i<(b);++i)
#define RFOR(i, a, b) for(int i=(b)-1;i>=(a);--i)
#define REP(i, n)  FOR(i,0,n)
#define RREP(i, n) for(int i = n-1;i >= 0;i--)
#define FORLL(i, a, b) for(LL i=LL(a);i<LL(b);++i)
#define RFORLL(i, a, b) for(LL i=LL(b)-1;i>=LL(a);--i)
#define REPLL(i, n) for(LL i=0;i<LL(n);++i)
#define RREPLL(i, n) for(LL i=LL(n)-1;i>=0;--i)
#define FOREACH(x, arr) for(auto &(x) : (arr))

//------------------------------------------
//------------------------------------------

struct UnionFind {

    vector<int> par;
    vector<int> sizes;

    UnionFind(int n)
            : par(n), sizes(n, 1) {
        for (int i = 0; i < n; i++) {
            par[i] = i;
        }
    }

    int find(int x) {
        return x == par[x] ? x : par[x] = find(par[x]);
    }

    void unite(int x, int y) {
        x = find(x);
        y = find(y);
        if (x == y) return;
        if (sizes[x] < sizes[y]) swap(x, y);
        par[y] = x;
        sizes[x] += sizes[y];
    }

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

    int get_size(int x) {
        return sizes[find(x)];
    }

    bool all_same() {
        bool good = true;
        for (int i = 0, n = par.size(); i < n; i++) if (find(0) != find(i)) good = false;
        return good;
    }

    int get_connectivity() {
        set<int> s;
        for (int i = 0, n = par.size(); i < n; i++) s.insert(find(i));
        return s.size();
    }

};

template<class T>
struct Edge {
    int from, to;
    T cost;

    Edge(int from, int to, T cost) : from(from), to(to), cost(cost) {}

    explicit operator int() const { return to; }
};

template<class T>
using Edges = vector<Edge<T>>;

template<class T>
using WeightedGraph = vector<Edges<T>>;

using UnWeightedGraph = vector<vector<int>>;

template<class T>
using DistMatrix = vector<vector<T>>;

struct GraphAdapter {
    template<class T>
    static UnWeightedGraph to_unweighted_graph(const WeightedGraph<T> &origin) {
        int V = origin.size();
        UnWeightedGraph graph(V);
        for (int i = 0; i < V; i++) for (auto &e: origin[i]) graph[i].push_back((int) e);
        return graph;
    }

    static WeightedGraph<int> to_weighted_graph(const UnWeightedGraph &origin) {
        int V = origin.size();
        WeightedGraph<int> graph(V);
        for (int i = 0; i < V; i++) for (auto to: origin[i]) graph[i].push_back({i, to, 1});
        return graph;
    }

    template<class T>
    static DistMatrix<T> to_dist_matrix(const WeightedGraph<T> &origin, T INF) {
        int V = origin.size();
        DistMatrix<T> matrix(V, vector<T>(V, INF));
        for (int i = 0; i < V; i++) for (auto &e:origin[i]) matrix[i][e.to] = e.cost;
        for (int i = 0; i < V; i++) matrix[i][i] = 0;
        return matrix;
    }
};

template<typename G>
struct LowLink {
    const G &g;

    int k;
    vector<int> used, ord, low;

    vector<int> articulations;
    vector<pair<int, int>> bridges;

    LowLink(const G &g) : g(g) {}

    void dfs(int v, int p) {
        used[v] = 1;
        ord[v] = low[v] = k++;
        bool is_art = false;
        int cnt = 0;
        for (auto &to: g[v]) {
            if (!used[to]) {
                cnt++;
                dfs(to, v);
                low[v] = min(low[v], low[to]);
                is_art |= ~p && ord[v] <= low[to];
                if (ord[v] < low[to]) bridges.emplace_back(min(v, (int) to), max(v, (int) to));
            } else if (to != p) {
                low[v] = min(low[v], ord[v]);
            }
        }
        is_art |= p == -1 and cnt > 1;
        if (is_art) articulations.push_back(v);
    }

    void build() {
        int n = g.size();
        used.assign(n, 0);
        ord.assign(n, 0);
        low.assign(n, 0);
        k = 0;
        for (int i = 0; i < n; i++) {
            if (!used[i]) {
                dfs(i, -1);
            }
        }
    }
};

int main() {

    int N;
    cin >> N;

    UnWeightedGraph G(N);

    UnionFind UF(N);
    REP(i, N - 1) {
        int a, b;
        cin >> a >> b;
        UF.unite(a, b);
        G[a].push_back(b);
        G[b].push_back(a);
    }

    int connects = UF.get_connectivity();
    if (connects == 1) {
        cout << "Bob" << endl;
        return 0;
    }
    if (connects >= 3) {
        cout << "Alice" << endl;
        return 0;
    }

    LowLink<UnWeightedGraph> lowLink(G);
    lowLink.build();

    auto bridges = lowLink.bridges;
    if (bridges.size()) cout << "Alice" << endl;
    else cout << "Bob" << endl;

}