結果
問題 | No.1254 補強への架け橋 |
ユーザー | NyaanNyaan |
提出日時 | 2021-04-19 17:14:35 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 232 ms / 2,000 ms |
コード長 | 20,235 bytes |
コンパイル時間 | 4,144 ms |
コンパイル使用メモリ | 314,484 KB |
実行使用メモリ | 67,848 KB |
最終ジャッジ日時 | 2024-07-04 05:00:08 |
合計ジャッジ時間 | 15,411 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge2 |
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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
6,812 KB |
testcase_01 | AC | 2 ms
6,944 KB |
testcase_02 | AC | 2 ms
6,940 KB |
testcase_03 | AC | 2 ms
6,940 KB |
testcase_04 | AC | 2 ms
6,944 KB |
testcase_05 | AC | 2 ms
6,940 KB |
testcase_06 | AC | 2 ms
6,944 KB |
testcase_07 | AC | 2 ms
6,944 KB |
testcase_08 | AC | 2 ms
6,940 KB |
testcase_09 | AC | 2 ms
6,940 KB |
testcase_10 | AC | 2 ms
6,940 KB |
testcase_11 | AC | 2 ms
6,940 KB |
testcase_12 | AC | 2 ms
6,944 KB |
testcase_13 | AC | 2 ms
6,940 KB |
testcase_14 | AC | 2 ms
6,944 KB |
testcase_15 | AC | 2 ms
6,940 KB |
testcase_16 | AC | 1 ms
6,944 KB |
testcase_17 | AC | 2 ms
6,940 KB |
testcase_18 | AC | 2 ms
6,944 KB |
testcase_19 | AC | 2 ms
6,944 KB |
testcase_20 | AC | 2 ms
6,940 KB |
testcase_21 | AC | 2 ms
6,940 KB |
testcase_22 | AC | 2 ms
6,944 KB |
testcase_23 | AC | 2 ms
6,940 KB |
testcase_24 | AC | 2 ms
6,944 KB |
testcase_25 | AC | 2 ms
6,944 KB |
testcase_26 | AC | 2 ms
6,944 KB |
testcase_27 | AC | 2 ms
6,940 KB |
testcase_28 | AC | 2 ms
6,940 KB |
testcase_29 | AC | 2 ms
6,944 KB |
testcase_30 | AC | 2 ms
6,944 KB |
testcase_31 | AC | 2 ms
6,944 KB |
testcase_32 | AC | 2 ms
6,944 KB |
testcase_33 | AC | 2 ms
6,944 KB |
testcase_34 | AC | 2 ms
6,940 KB |
testcase_35 | AC | 2 ms
6,940 KB |
testcase_36 | AC | 2 ms
6,940 KB |
testcase_37 | AC | 2 ms
6,940 KB |
testcase_38 | AC | 2 ms
6,940 KB |
testcase_39 | AC | 2 ms
6,944 KB |
testcase_40 | AC | 1 ms
6,944 KB |
testcase_41 | AC | 2 ms
6,940 KB |
testcase_42 | AC | 2 ms
6,944 KB |
testcase_43 | AC | 2 ms
6,940 KB |
testcase_44 | AC | 2 ms
6,940 KB |
testcase_45 | AC | 2 ms
6,944 KB |
testcase_46 | AC | 2 ms
6,944 KB |
testcase_47 | AC | 2 ms
6,940 KB |
testcase_48 | AC | 2 ms
6,940 KB |
testcase_49 | AC | 1 ms
6,944 KB |
testcase_50 | AC | 2 ms
6,940 KB |
testcase_51 | AC | 3 ms
6,940 KB |
testcase_52 | AC | 3 ms
6,940 KB |
testcase_53 | AC | 3 ms
6,940 KB |
testcase_54 | AC | 3 ms
6,940 KB |
testcase_55 | AC | 2 ms
6,944 KB |
testcase_56 | AC | 3 ms
6,940 KB |
testcase_57 | AC | 2 ms
6,940 KB |
testcase_58 | AC | 2 ms
6,940 KB |
testcase_59 | AC | 2 ms
6,944 KB |
testcase_60 | AC | 2 ms
6,944 KB |
testcase_61 | AC | 3 ms
6,944 KB |
testcase_62 | AC | 2 ms
6,940 KB |
testcase_63 | AC | 9 ms
6,944 KB |
testcase_64 | AC | 4 ms
6,940 KB |
testcase_65 | AC | 7 ms
6,940 KB |
testcase_66 | AC | 6 ms
6,944 KB |
testcase_67 | AC | 3 ms
6,940 KB |
testcase_68 | AC | 6 ms
6,944 KB |
testcase_69 | AC | 7 ms
6,940 KB |
testcase_70 | AC | 4 ms
6,944 KB |
testcase_71 | AC | 4 ms
6,940 KB |
testcase_72 | AC | 8 ms
6,944 KB |
testcase_73 | AC | 5 ms
6,940 KB |
testcase_74 | AC | 7 ms
6,940 KB |
testcase_75 | AC | 6 ms
6,944 KB |
testcase_76 | AC | 2 ms
6,944 KB |
testcase_77 | AC | 5 ms
6,940 KB |
testcase_78 | AC | 9 ms
6,940 KB |
testcase_79 | AC | 9 ms
6,940 KB |
testcase_80 | AC | 8 ms
6,944 KB |
testcase_81 | AC | 8 ms
6,944 KB |
testcase_82 | AC | 8 ms
6,940 KB |
testcase_83 | AC | 94 ms
24,420 KB |
testcase_84 | AC | 88 ms
23,924 KB |
testcase_85 | AC | 52 ms
16,132 KB |
testcase_86 | AC | 75 ms
21,288 KB |
testcase_87 | AC | 83 ms
22,844 KB |
testcase_88 | AC | 14 ms
6,940 KB |
testcase_89 | AC | 96 ms
24,252 KB |
testcase_90 | AC | 58 ms
16,796 KB |
testcase_91 | AC | 46 ms
14,024 KB |
testcase_92 | AC | 23 ms
9,040 KB |
testcase_93 | AC | 75 ms
20,228 KB |
testcase_94 | AC | 65 ms
18,552 KB |
testcase_95 | AC | 64 ms
18,544 KB |
testcase_96 | AC | 86 ms
23,312 KB |
testcase_97 | AC | 36 ms
12,476 KB |
testcase_98 | AC | 86 ms
23,604 KB |
testcase_99 | AC | 52 ms
15,572 KB |
testcase_100 | AC | 94 ms
24,868 KB |
testcase_101 | AC | 21 ms
8,308 KB |
testcase_102 | AC | 12 ms
6,944 KB |
testcase_103 | AC | 23 ms
9,036 KB |
testcase_104 | AC | 32 ms
11,080 KB |
testcase_105 | AC | 71 ms
20,368 KB |
testcase_106 | AC | 41 ms
13,268 KB |
testcase_107 | AC | 94 ms
24,252 KB |
testcase_108 | AC | 91 ms
24,080 KB |
testcase_109 | AC | 71 ms
20,064 KB |
testcase_110 | AC | 67 ms
18,512 KB |
testcase_111 | AC | 70 ms
19,596 KB |
testcase_112 | AC | 31 ms
10,724 KB |
testcase_113 | AC | 60 ms
18,016 KB |
testcase_114 | AC | 39 ms
12,956 KB |
testcase_115 | AC | 13 ms
6,944 KB |
testcase_116 | AC | 47 ms
14,616 KB |
testcase_117 | AC | 32 ms
10,756 KB |
testcase_118 | AC | 87 ms
23,156 KB |
testcase_119 | AC | 48 ms
15,540 KB |
testcase_120 | AC | 84 ms
22,412 KB |
testcase_121 | AC | 26 ms
9,652 KB |
testcase_122 | AC | 46 ms
14,340 KB |
testcase_123 | AC | 2 ms
6,940 KB |
testcase_124 | AC | 232 ms
67,780 KB |
testcase_125 | AC | 224 ms
67,848 KB |
ソースコード
/** * date : 2021-04-19 17:14:32 */ #define NDEBUG using namespace std; // intrinstic #include <immintrin.h> #include <algorithm> #include <array> #include <bitset> #include <cassert> #include <cctype> #include <cfenv> #include <cfloat> #include <chrono> #include <cinttypes> #include <climits> #include <cmath> #include <complex> #include <csetjmp> #include <csignal> #include <cstdarg> #include <cstddef> #include <cstdint> #include <cstdio> #include <cstdlib> #include <cstring> #include <ctime> #include <deque> #include <exception> #include <forward_list> #include <fstream> #include <functional> #include <initializer_list> #include <iomanip> #include <ios> #include <iosfwd> #include <iostream> #include <istream> #include <iterator> #include <limits> #include <list> #include <locale> #include <map> #include <memory> #include <new> #include <numeric> #include <ostream> #include <queue> #include <random> #include <ratio> #include <regex> #include <set> #include <sstream> #include <stack> #include <stdexcept> #include <streambuf> #include <string> #include <system_error> #include <tuple> #include <type_traits> #include <typeinfo> #include <unordered_map> #include <unordered_set> #include <utility> #include <valarray> #include <vector> // utility namespace Nyaan { using ll = long long; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template <typename T> using V = vector<T>; template <typename T> using VV = vector<vector<T>>; using vi = vector<int>; using vl = vector<long long>; using vd = V<double>; using vs = V<string>; using vvi = vector<vector<int>>; using vvl = vector<vector<long long>>; template <typename T, typename U> struct P : pair<T, U> { template <typename... Args> P(Args... args) : pair<T, U>(args...) {} using pair<T, U>::first; using pair<T, U>::second; T &x() { return first; } const T &x() const { return first; } U &y() { return second; } const U &y() const { return second; } P &operator+=(const P &r) { first += r.first; second += r.second; return *this; } P &operator-=(const P &r) { first -= r.first; second -= r.second; return *this; } P &operator*=(const P &r) { first *= r.first; second *= r.second; return *this; } P operator+(const P &r) const { return P(*this) += r; } P operator-(const P &r) const { return P(*this) -= r; } P operator*(const P &r) const { return P(*this) *= r; } }; using pl = P<ll, ll>; using pi = P<int, int>; using vp = V<pl>; constexpr int inf = 1001001001; constexpr long long infLL = 4004004004004004004LL; template <typename T> int sz(const T &t) { return t.size(); } template <typename T, size_t N> void mem(T (&a)[N], int c) { memset(a, c, sizeof(T) * N); } template <typename T, typename U> inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template <typename T, typename U> inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template <typename T> int lb(const vector<T> &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template <typename T> int ub(const vector<T> &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } constexpr long long TEN(int n) { long long ret = 1, x = 10; for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1); return ret; } template <typename T, typename U> pair<T, U> mkp(const T &t, const U &u) { return make_pair(t, u); } template <typename T> vector<T> mkrui(const vector<T> &v, bool rev = false) { vector<T> ret(v.size() + 1); if (rev) { for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1]; } else { for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; } return ret; }; template <typename T> vector<T> mkuni(const vector<T> &v) { vector<T> ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template <typename F> vector<int> mkord(int N, F f) { vector<int> ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template <typename T> vector<T> reord(const vector<T> &v, const vector<T> &ord) { int N = v.size(); vector<T> ret(N); for (int i = 0; i < N; i++) ret[i] = v[ord[i]]; return ret; }; template <typename T = int> vector<T> mkiota(int N) { vector<T> ret(N); iota(begin(ret), end(ret), 0); return ret; } template <typename T> vector<int> mkinv(vector<T> &v, int max_val = -1) { if (max_val < (int)v.size()) max_val = v.size() - 1; vector<int> inv(max_val + 1, -1); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } } // namespace Nyaan // bit operation namespace Nyaan { __attribute__((target("popcnt"))) inline int popcnt(const u64 &a) { return _mm_popcnt_u64(a); } __attribute__((target("bmi"))) inline int lsb(const u64 &a) { return _tzcnt_u64(a); } __attribute__((target("bmi"))) inline int ctz(const u64 &a) { return _tzcnt_u64(a); } __attribute__((target("lzcnt"))) inline int msb(const u64 &a) { return 63 - _lzcnt_u64(a); } __attribute__((target("lzcnt"))) inline int clz64(const u64 &a) { return _lzcnt_u64(a); } template <typename T> inline int gbit(const T &a, int i) { return (a >> i) & 1; } template <typename T> inline void sbit(T &a, int i, bool b) { a ^= (gbit(a, i) == b ? 0 : (T(b) << i)); } constexpr long long PW(int n) { return 1LL << n; } constexpr long long MSK(int n) { return (1LL << n) - 1; } } // namespace Nyaan // inout namespace Nyaan { template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &p) { os << p.first << " " << p.second; return os; } template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &p) { is >> p.first >> p.second; return is; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template <typename T> istream &operator>>(istream &is, vector<T> &v) { for (auto &x : v) is >> x; return is; } void in() {} template <typename T, class... U> void in(T &t, U &... u) { cin >> t; in(u...); } void out() { cout << "\n"; } template <typename T, class... U, char sep = ' '> void out(const T &t, const U &... u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template <typename T, class... U, char sep = ' '> void outr(const T &t, const U &... u) { cout << t; outr(u...); } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; } // namespace Nyaan // debug namespace DebugImpl { template <typename U, typename = void> struct is_specialize : false_type {}; template <typename U> struct is_specialize< U, typename conditional<false, typename U::iterator, void>::type> : true_type {}; template <typename U> struct is_specialize< U, typename conditional<false, decltype(U::first), void>::type> : true_type {}; template <typename U> struct is_specialize<U, enable_if_t<is_integral<U>::value, void>> : true_type { }; void dump(const char& t) { cerr << t; } void dump(const string& t) { cerr << t; } template <typename U, enable_if_t<!is_specialize<U>::value, nullptr_t> = nullptr> void dump(const U& t) { cerr << t; } template <typename T> void dump(const T& t, enable_if_t<is_integral<T>::value>* = nullptr) { string res; if (t == Nyaan::inf) res = "inf"; if (is_signed<T>::value) if (t == -Nyaan::inf) res = "-inf"; if (sizeof(T) == 8) { if (t == Nyaan::infLL) res = "inf"; if (is_signed<T>::value) if (t == -Nyaan::infLL) res = "-inf"; } if (res.empty()) res = to_string(t); cerr << res; } template <typename T, typename U> void dump(const pair<T, U>&); template <typename T> void dump(const pair<T*, int>&); template <typename T> void dump(const T& t, enable_if_t<!is_void<typename T::iterator>::value>* = nullptr) { cerr << "[ "; for (auto it = t.begin(); it != t.end();) { dump(*it); cerr << (++it == t.end() ? "" : ", "); } cerr << " ]"; } template <typename T, typename U> void dump(const pair<T, U>& t) { cerr << "( "; dump(t.first); cerr << ", "; dump(t.second); cerr << " )"; } template <typename T> void dump(const pair<T*, int>& t) { cerr << "[ "; for (int i = 0; i < t.second; i++) { dump(t.first[i]); cerr << (i == t.second - 1 ? "" : ", "); } cerr << " ]"; } void trace() { cerr << endl; } template <typename Head, typename... Tail> void trace(Head&& head, Tail&&... tail) { cerr << " "; dump(head); if (sizeof...(tail) != 0) cerr << ","; trace(forward<Tail>(tail)...); } } // namespace DebugImpl #ifdef NyaanDebug #define trc(...) \ do { \ cerr << "## " << #__VA_ARGS__ << " = "; \ DebugImpl::trace(__VA_ARGS__); \ } while (0) #else #define trc(...) #endif // macro #define each(x, v) for (auto&& x : v) #define each2(x, y, v) for (auto&& [x, y] : v) #define all(v) (v).begin(), (v).end() #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define repc(i, a, cond) for (long long i = (a); (cond); i++) #define enm(i, val, vec) \ for (long long i = 0; i < (long long)(vec).size(); i++) \ if (auto& val = vec[i]; false) \ ; \ else #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define inc(...) \ char __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define die(...) \ do { \ Nyaan::out(__VA_ARGS__); \ return; \ } while (0) namespace Nyaan { void solve(); } int main() { Nyaan::solve(); } // struct UnionFind { vector<int> data; UnionFind(int N) : data(N, -1) {} int find(int k) { return data[k] < 0 ? k : data[k] = find(data[k]); } int unite(int x, int y) { if ((x = find(x)) == (y = find(y))) return false; if (data[x] > data[y]) swap(x, y); data[x] += data[y]; data[y] = x; return true; } // f ... merge function template<typename F> int unite(int x, int y,const F &f) { if ((x = find(x)) == (y = find(y))) return false; if (data[x] > data[y]) swap(x, y); data[x] += data[y]; data[y] = x; f(x, y); return true; } int size(int k) { return -data[find(k)]; } int same(int x, int y) { return find(x) == find(y); } }; /** * @brief Union Find(Disjoint Set Union) * @docs docs/data-structure/union-find.md */ template <typename T> struct edge { int src, to; T cost; edge(int _to, T _cost) : src(-1), to(_to), cost(_cost) {} edge(int _src, int _to, T _cost) : src(_src), to(_to), cost(_cost) {} edge &operator=(const int &x) { to = x; return *this; } operator int() const { return to; } }; template <typename T> using Edges = vector<edge<T>>; template <typename T> using WeightedGraph = vector<Edges<T>>; using UnweightedGraph = vector<vector<int>>; // Input of (Unweighted) Graph UnweightedGraph graph(int N, int M = -1, bool is_directed = false, bool is_1origin = true) { UnweightedGraph g(N); if (M == -1) M = N - 1; for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; if (is_1origin) x--, y--; g[x].push_back(y); if (!is_directed) g[y].push_back(x); } return g; } // Input of Weighted Graph template <typename T> WeightedGraph<T> wgraph(int N, int M = -1, bool is_directed = false, bool is_1origin = true) { WeightedGraph<T> g(N); if (M == -1) M = N - 1; for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; T c; cin >> c; if (is_1origin) x--, y--; g[x].emplace_back(x, y, c); if (!is_directed) g[y].emplace_back(y, x, c); } return g; } // Input of Edges template <typename T> Edges<T> esgraph(int N, int M, int is_weighted = true, bool is_1origin = true) { Edges<T> es; for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; T c; if (is_weighted) cin >> c; else c = 1; if (is_1origin) x--, y--; es.emplace_back(x, y, c); } return es; } // Input of Adjacency Matrix template <typename T> vector<vector<T>> adjgraph(int N, int M, T INF, int is_weighted = true, bool is_directed = false, bool is_1origin = true) { vector<vector<T>> d(N, vector<T>(N, INF)); for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; T c; if (is_weighted) cin >> c; else c = 1; if (is_1origin) x--, y--; d[x][y] = c; if (!is_directed) d[y][x] = c; } return d; } template <typename G> struct HeavyLightDecomposition { private: void dfs_sz(int cur) { size[cur] = 1; for (auto& dst : g[cur]) { if (dst == par[cur]) { if (g[cur].size() >= 2 && int(dst) == int(g[cur][0])) swap(g[cur][0], g[cur][1]); else continue; } depth[dst] = depth[cur] + 1; par[dst] = cur; dfs_sz(dst); size[cur] += size[dst]; if (size[dst] > size[g[cur][0]]) { swap(dst, g[cur][0]); } } } void dfs_hld(int cur) { down[cur] = id++; for (auto dst : g[cur]) { if (dst == par[cur]) continue; nxt[dst] = (int(dst) == int(g[cur][0]) ? nxt[cur] : int(dst)); dfs_hld(dst); } up[cur] = id; } // [u, v) vector<pair<int, int>> ascend(int u, int v) const { vector<pair<int, int>> res; while (nxt[u] != nxt[v]) { res.emplace_back(down[u], down[nxt[u]]); u = par[nxt[u]]; } if (u != v) res.emplace_back(down[u], down[v] + 1); return res; } // (u, v] vector<pair<int, int>> descend(int u, int v) const { if (u == v) return {}; if (nxt[u] == nxt[v]) return {{down[u] + 1, down[v]}}; auto res = descend(u, par[nxt[v]]); res.emplace_back(down[nxt[v]], down[v]); return res; } public: G& g; int id; vector<int> size, depth, down, up, nxt, par; HeavyLightDecomposition(G& _g, int root = 0) : g(_g), id(0), size(g.size(), 0), depth(g.size(), 0), down(g.size(), -1), up(g.size(), -1), nxt(g.size(), root), par(g.size(), root) { dfs_sz(root); dfs_hld(root); } void build(int root) { dfs_sz(root); dfs_hld(root); } pair<int, int> idx(int i) const { return make_pair(down[i], up[i]); } template <typename F> void path_query(int u, int v, bool vertex, const F& f) { int l = lca(u, v); for (auto&& [a, b] : ascend(u, l)) { int s = a + 1, t = b; s > t ? f(t, s) : f(s, t); } if (vertex) f(down[l], down[l] + 1); for (auto&& [a, b] : descend(l, v)) { int s = a, t = b + 1; s > t ? f(t, s) : f(s, t); } } template <typename F> void path_noncommutative_query(int u, int v, bool vertex, const F& f) { int l = lca(u, v); for (auto&& [a, b] : ascend(u, l)) f(a + 1, b); if (vertex) f(down[l], down[l] + 1); for (auto&& [a, b] : descend(l, v)) f(a, b + 1); } template <typename F> void subtree_query(int u, bool vertex, const F& f) { f(down[u] + int(!vertex), up[u]); } int lca(int a, int b) { while (nxt[a] != nxt[b]) { if (down[a] < down[b]) swap(a, b); a = par[nxt[a]]; } return depth[a] < depth[b] ? a : b; } }; /** * @brief Heavy Light Decomposition(重軽分解) * @docs docs/tree/heavy-light-decomposition.md */ using namespace std; template <typename T> struct Namori { using G = WeightedGraph<T>; int n; G g; // 部分グラフ vector<G> aux; // ループ部分の(頂点,辺の重み) // loop[i].se は loop[i] と loop[i+1] の間の辺 vector<pair<int, T>> loop; // 頂点の対応関係 vector<pair<int, int>> mp; // HL分解 vector<HeavyLightDecomposition<G>> hld; Namori(int _n = 0) : _uf(_n) { init(_n); } void init(int _n) { n = _n; g.resize(n); _uf.data.resize(n); fill(begin(_uf.data), end(_uf.data), -1); _is_loop.resize(n, false); mp.resize(n, make_pair(-1, -1)); } void add_edge(int u, int v, T w = 1) { assert(_built == false); if (_uf.same(u, v)) { _root = u, _adj = v, _w = w; } else { _uf.unite(u, v); g[u].emplace_back(u, v, w); g[v].emplace_back(v, u, w); } if (++_es == n) build(); } void build() { if (_built) return; _buf.resize(n, -1); dfs1(_root, -1); for (int c = _adj; c >= 0; c = _buf[c]) { loop.emplace_back(c, -1); _is_loop[c] = true; for (auto& e : g[c]) { if (e == _buf[c]) loop.back().second = e.cost; } } assert(loop.back().first == _root); loop.back().second = _w; _h.resize(n); for (auto& [i, _] : loop) dfs2(i, -1); fill(begin(_buf), end(_buf), 0); for (auto& [i, _] : loop) dfs3(i); _uf.data.clear(); _buf.clear(); _is_loop.clear(); aux.resize(loop.size()); for (int i = 0; i < (int)loop.size(); i++) { int k = loop[i].first, j = 0; dfs4(k, i, j); aux[i].resize(j); dfs5(k); hld.emplace_back(aux[i]); } _h.clear(); _built = true; } pair<int, int> idx(int i) const { return mp[i]; } int root(int i) const { return loop[mp[i].first].first; } private: // 初期化用の状態変数 UnionFind _uf; vector<int> _buf; vector<bool> _is_loop; int _root = -1, _adj = -1, _es = 0; bool _built = false; T _w = 0; G _h; // parをメモする void dfs1(int c, int p) { for (auto& d : g[c]) { if (d != p) { _buf[d] = c; dfs1(d, c); } } } // _h で有向木を作る void dfs2(int c, int p) { for (auto& d : g[c]) { if (d == p or _is_loop[d]) continue; _h[c].emplace_back(c, d, d.cost); dfs2(d, c); } } // HLD用に順番替え void dfs3(int c) { _buf[c] = 1; for (auto& d : _h[c]) { dfs3(d); _buf[c] += _buf[d]; if (_buf[d] > _buf[_h[c][0]]) { swap(_h[c][0], d); } } } // 順番をつける void dfs4(int c, int i, int& j) { mp[c] = make_pair(i, j++); for (auto& d : _h[c]) { dfs4(d, i, j); } } // 部分グラフを作る void dfs5(int c) { for (auto& d : _h[c]) { dfs5(d); auto [i, j] = mp[c]; auto [_, k] = mp[d]; aux[i][j].emplace_back(j, k, d.cost); // 逆辺も入れたいときはここをオンにする(動くか不明) // aux[i][k].emplace_back(k, j, d.cost); } } }; /** * @brief Functional Graph(なもりグラフ)の分解 * @docs docs/graph/functional-graph.md */ using namespace Nyaan; void Nyaan::solve() { ini(N); Namori<ll> g(N); vp es; rep(i, N) { ini(u, v); --u, --v; g.add_edge(u, v); if (u > v) swap(u, v); es.emplace_back(u, v); } set<pl> namo; rep(i, sz(g.loop)) { int u = g.loop[i].first; int v = g.loop[(i + 1) % sz(g.loop)].first; if (u > v) swap(u, v); namo.emplace(u, v); } vi ans; rep(i, N) { if (namo.find(es[i]) != namo.end()) ans.push_back(i + 1); } out(sz(ans)); out(ans); }