結果
| 問題 |
No.977 アリス仕掛けの摩天楼
|
| ユーザー |
|
| 提出日時 | 2020-02-01 17:28:39 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 8,594 bytes |
| コンパイル時間 | 1,848 ms |
| コンパイル使用メモリ | 166,452 KB |
| 最終ジャッジ日時 | 2025-01-08 21:44:36 |
|
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 24 WA * 2 |
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;
}