#line 1 "verify/verify-aoj-other/aoj-2821.test.cpp"
#define PROBLEM "https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2821"
//
#line 2 "template/template.hpp"
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 <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
// utility
#line 3 "template/util.hpp"
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>
using minpq = priority_queue<T, vector<T>, greater<T>>;
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;
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;
}
template <typename S>
P &operator*=(const S &r) {
first *= r, second *= r;
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; }
template <typename S>
P operator*(const S &r) const {
return P(*this) *= r;
}
P operator-() const { return P{-first, -second}; }
};
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, 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>
inline T Max(const vector<T> &v) {
return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
return accumulate(begin(v), end(v), 0LL);
}
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<int> mkinv(vector<T> &v) {
int max_val = *max_element(begin(v), end(v));
vector<int> inv(max_val + 1, -1);
for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
return inv;
}
vector<int> mkiota(int n) {
vector<int> ret(n);
iota(begin(ret), end(ret), 0);
return ret;
}
template <typename T>
T mkrev(const T &v) {
T w{v};
reverse(begin(w), end(w));
return w;
}
template <typename T>
bool nxp(T &v) {
return next_permutation(begin(v), end(v));
}
// 返り値の型は入力の T に依存
// i 要素目 : [0, a[i])
template <typename T>
vector<vector<T>> product(const vector<T> &a) {
vector<vector<T>> ret;
vector<T> v;
auto dfs = [&](auto rc, int i) -> void {
if (i == (int)a.size()) {
ret.push_back(v);
return;
}
for (int j = 0; j < a[i]; j++) v.push_back(j), rc(rc, i + 1), v.pop_back();
};
dfs(dfs, 0);
return ret;
}
// F : void(T&), mod を取る操作
// T : 整数型のときはオーバーフローに注意する
template <typename T, typename F>
T Power(T a, long long n, const T &I, F &&f) {
static_assert(std::is_invocable_r_v<void, F &, T &>,
"Power callback must be callable as void(T&)");
T res = I;
for (; n; std::invoke(f, a = a * a), n >>= 1) {
if (n & 1) std::invoke(f, res = res * a);
}
return res;
}
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I = T{1}) {
auto no_op = [](T &) -> void {};
return Power(a, n, I, no_op);
}
template <typename T>
T Rev(const T &v) {
T res = v;
reverse(begin(res), end(res));
return res;
}
template <typename T>
vector<T> Transpose(const vector<T> &v) {
using U = typename T::value_type;
if(v.empty()) return {};
int H = v.size(), W = v[0].size();
vector res(W, T(H, U{}));
for (int i = 0; i < H; i++) {
for (int j = 0; j < W; j++) {
res[j][i] = v[i][j];
}
}
return res;
}
template <typename T>
vector<T> Rotate(const vector<T> &v, int clockwise = true) {
using U = typename T::value_type;
int H = v.size(), W = v[0].size();
vector res(W, T(H, U{}));
for (int i = 0; i < H; i++) {
for (int j = 0; j < W; j++) {
if (clockwise) {
res[W - 1 - j][i] = v[i][j];
} else {
res[j][H - 1 - i] = v[i][j];
}
}
}
return res;
}
} // namespace Nyaan
#line 58 "template/template.hpp"
// bit operation
#line 1 "template/bitop.hpp"
namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
return __builtin_popcountll(a);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
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) {
if (gbit(a, i) != b) a ^= T(1) << i;
}
constexpr long long PW(int n) { return 1LL << n; }
constexpr long long MSK(int n) { return (1LL << n) - 1; }
} // namespace Nyaan
#line 61 "template/template.hpp"
// inout
#line 1 "template/inout.hpp"
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;
}
istream &operator>>(istream &is, __int128_t &x) {
string S;
is >> S;
x = 0;
int flag = 0;
for (auto &c : S) {
if (c == '-') {
flag = true;
continue;
}
x *= 10;
x += c - '0';
}
if (flag) x = -x;
return is;
}
istream &operator>>(istream &is, __uint128_t &x) {
string S;
is >> S;
x = 0;
for (auto &c : S) {
x *= 10;
x += c - '0';
}
return is;
}
ostream &operator<<(ostream &os, __int128_t x) {
if (x == 0) return os << 0;
if (x < 0) os << '-', x = -x;
string S;
while (x) S.push_back('0' + x % 10), x /= 10;
reverse(begin(S), end(S));
return os << S;
}
ostream &operator<<(ostream &os, __uint128_t x) {
if (x == 0) return os << 0;
string S;
while (x) S.push_back('0' + x % 10), x /= 10;
reverse(begin(S), end(S));
return os << S;
}
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...);
}
struct IoSetupNya {
IoSetupNya() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetupnya;
} // namespace Nyaan
#line 64 "template/template.hpp"
// debug
#line 1 "template/debug.hpp"
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; }
void dump(const bool& t) { cerr << (t ? "true" : "false"); }
void dump(__int128_t t) {
if (t == 0) cerr << 0;
if (t < 0) cerr << '-', t = -t;
string S;
while (t) S.push_back('0' + t % 10), t /= 10;
reverse(begin(S), end(S));
cerr << S;
}
void dump(__uint128_t t) {
if (t == 0) cerr << 0;
string S;
while (t) S.push_back('0' + t % 10), t /= 10;
reverse(begin(S), end(S));
cerr << S;
}
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 constexpr (is_signed<T>::value) {
if (t == -Nyaan::inf) res = "-inf";
}
if constexpr (sizeof(T) == 8) {
if (t == Nyaan::infLL) res = "inf";
if constexpr (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(std::forward<Tail>(tail)...);
}
} // namespace DebugImpl
#ifdef NyaanDebug
#define trc(...) \
do { \
cerr << "## " << #__VA_ARGS__ << " = "; \
DebugImpl::trace(__VA_ARGS__); \
} while (0)
#else
#define trc(...) (void(0))
#endif
#ifdef NyaanLocal
#define trc2(...) \
do { \
cerr << "## " << #__VA_ARGS__ << " = "; \
DebugImpl::trace(__VA_ARGS__); \
} while (0)
#else
#define trc2(...) (void(0))
#endif
#line 67 "template/template.hpp"
// macro
#line 1 "template/macro.hpp"
#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 fi first
#define se second
#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 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)
#line 70 "template/template.hpp"
namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }
#line 4 "verify/verify-aoj-other/aoj-2821.test.cpp"
//
#line 2 "data-structure/union-find.hpp"
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(x, y) : x に y をマージ
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)
*/
#line 2 "graph/graph-template.hpp"
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([[maybe_unused]] 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;
}
/**
* @brief グラフテンプレート
*/
#line 2 "tree/tree-hash.hpp"
#line 2 "tree/centroid.hpp"
#line 5 "tree/centroid.hpp"
using namespace std;
template <typename G>
vector<int> centroid(const G &g) {
const int N = (int)g.size();
vector<pair<int, int> > st;
st.emplace_back(0, -1);
vector<int> sz(N), par(N);
while (!st.empty()) {
auto p = st.back();
if (sz[p.first] == 0) {
sz[p.first] = 1;
for (auto &to : g[p.first])
if (to != p.second) st.emplace_back(to, p.first);
} else {
for (auto &to : g[p.first])
if (to != p.second) sz[p.first] += sz[to];
par[p.first] = p.second;
st.pop_back();
}
}
vector<int> ret;
int size = N;
for (int i = 0; i < N; i++) {
int val = N - sz[i];
for (auto &to : g[i])
if (to != par[i]) val = max(val, sz[to]);
if (val < size) size = val, ret.clear();
if (val == size) ret.emplace_back(i);
}
return ret;
}
#line 2 "tree/rooted-tree-hash.hpp"
#line 7 "tree/rooted-tree-hash.hpp"
using namespace std;
#line 2 "internal/internal-hash.hpp"
namespace nyaan_internal {
using i64 = long long;
using u64 = unsigned long long;
using u128 = __uint128_t;
template <int BASE_NUM = 2>
struct Hash : array<u64, BASE_NUM> {
using array<u64, BASE_NUM>::operator[];
static constexpr int n = BASE_NUM;
Hash() : array<u64, BASE_NUM>() {}
static constexpr u64 md = (1ull << 61) - 1;
constexpr static Hash set(const i64 &a) {
Hash res;
fill(begin(res), end(res), cast(a));
return res;
}
Hash &operator+=(const Hash &r) {
for (int i = 0; i < n; i++)
if (((*this)[i] += r[i]) >= md) (*this)[i] -= md;
return *this;
}
Hash &operator+=(const i64 &r) {
u64 s = cast(r);
for (int i = 0; i < n; i++)
if (((*this)[i] += s) >= md) (*this)[i] -= md;
return *this;
}
Hash &operator-=(const Hash &r) {
for (int i = 0; i < n; i++)
if (((*this)[i] += md - r[i]) >= md) (*this)[i] -= md;
return *this;
}
Hash &operator-=(const i64 &r) {
u64 s = cast(r);
for (int i = 0; i < n; i++)
if (((*this)[i] += md - s) >= md) (*this)[i] -= md;
return *this;
}
Hash &operator*=(const Hash &r) {
for (int i = 0; i < n; i++) (*this)[i] = modmul((*this)[i], r[i]);
return *this;
}
Hash &operator*=(const i64 &r) {
u64 s = cast(r);
for (int i = 0; i < n; i++) (*this)[i] = modmul((*this)[i], s);
return *this;
}
Hash operator+(const Hash &r) { return Hash(*this) += r; }
Hash operator+(const i64 &r) { return Hash(*this) += r; }
Hash operator-(const Hash &r) { return Hash(*this) -= r; }
Hash operator-(const i64 &r) { return Hash(*this) -= r; }
Hash operator*(const Hash &r) { return Hash(*this) *= r; }
Hash operator*(const i64 &r) { return Hash(*this) *= r; }
Hash operator-() const {
Hash res;
for (int i = 0; i < n; i++) res[i] = (*this)[i] == 0 ? 0 : md - (*this)[i];
return res;
}
friend Hash pfma(const Hash &a, const Hash &b, const Hash &c) {
Hash res;
for (int i = 0; i < n; i++) res[i] = modfma(a[i], b[i], c[i]);
return res;
}
friend Hash pfma(const Hash &a, const Hash &b, const i64 &c) {
Hash res;
u64 s = cast(c);
for (int i = 0; i < n; i++) res[i] = modfma(a[i], b[i], s);
return res;
}
Hash pow(long long e) {
Hash a{*this}, res{Hash::set(1)};
for (; e; a *= a, e >>= 1) {
if (e & 1) res *= a;
}
return res;
}
static Hash get_basis() {
static auto rand_time =
chrono::duration_cast<chrono::nanoseconds>(
chrono::high_resolution_clock::now().time_since_epoch())
.count();
static mt19937_64 rng(rand_time);
Hash h;
for (int i = 0; i < n; i++) {
while (isPrimitive(h[i] = rng() % (md - 1) + 1) == false)
;
}
return h;
}
private:
static u64 modpow(u64 a, u64 b) {
u64 r = 1;
for (a %= md; b; a = modmul(a, a), b >>= 1) r = modmul(r, a);
return r;
}
static bool isPrimitive(u64 x) {
for (auto &d : vector<u64>{2, 3, 5, 7, 11, 13, 31, 41, 61, 151, 331, 1321})
if (modpow(x, (md - 1) / d) <= 1) return false;
return true;
}
static inline constexpr u64 cast(const long long &a) {
return a < 0 ? a + md : a;
}
static inline constexpr u64 modmul(const u64 &a, const u64 &b) {
u128 d = u128(a) * b;
u64 ret = (u64(d) & md) + u64(d >> 61);
return ret >= md ? ret - md : ret;
}
static inline constexpr u64 modfma(const u64 &a, const u64 &b, const u64 &c) {
u128 d = u128(a) * b + c;
u64 ret = (d >> 61) + (u64(d) & md);
return ret >= md ? ret - md : ret;
}
};
} // namespace nyaan_internal
/**
* @brief ハッシュ構造体
*/
#line 10 "tree/rooted-tree-hash.hpp"
template <typename G>
struct RootedTreeHash {
using Hash = nyaan_internal::Hash<1>;
const G& g;
int n;
vector<Hash> hash;
vector<int> depth;
static vector<Hash>& xs() {
static vector<Hash> _xs;
return _xs;
}
RootedTreeHash(const G& _g, int root = 0) : g(_g), n(g.size()) {
hash.resize(n);
depth.resize(n, 0);
while ((int)xs().size() <= n) xs().push_back(Hash::get_basis());
dfs(root, -1);
}
private:
int dfs(int c, int p) {
int dep = 0;
for (auto& d : g[c]) {
if (d != p) dep = max(dep, dfs(d, c) + 1);
}
Hash x = xs()[dep], h = Hash::set(1);
for (auto& d : g[c]) {
if (d != p) h = h * (x + hash[d]);
}
hash[c] = h;
return depth[c] = dep;
}
};
/**
* @brief 根付き木のハッシュ
*/
#line 5 "tree/tree-hash.hpp"
template <typename G>
vector<typename RootedTreeHash<G>::Hash> tree_hash(const G& g) {
using Hash = typename RootedTreeHash<G>::Hash;
auto cs = centroid(g);
if ((int)cs.size() == 1) cs.push_back(cs[0]);
vector<Hash> hs;
for (auto& c : cs) hs.push_back(RootedTreeHash{g, c}.hash[c]);
sort(begin(hs), end(hs));
return hs;
}
#line 8 "verify/verify-aoj-other/aoj-2821.test.cpp"
using namespace Nyaan;
void q() {
ini(N1, M1);
auto g1 = graph(N1, M1);
ini(N2);
auto g2 = graph(N2);
auto th = tree_hash(g2);
UnionFind uf(N1);
rep(i, N1) each(j, g1[i]) uf.unite(i, j);
ll ans = 0;
rep(i, N1) {
if (uf.find(i) != i) continue;
vvi h(uf.size(i));
int buf = 0;
unordered_map<int, int> mp;
auto dfs = [&](auto rc, int c, int p) -> void {
mp[c] = buf++;
each(d, g1[c]) {
if (d == p) continue;
rc(rc, d, c);
h[mp[c]].push_back(mp[d]);
h[mp[d]].push_back(mp[c]);
}
};
dfs(dfs, i, -1);
auto th2 = tree_hash(h);
ans += th == th2;
}
out(ans);
}
void Nyaan::solve() {
int t = 1;
// in(t);
while (t--) q();
}
verify/verify-aoj-other/aoj-2821.test.cpp