Problem p03660 (C++)

Buggy submission (status: Time Limit Exceeded):

#ifndef TEMPLATE_HPP
#define TEMPLATE_HPP

#include <algorithm>
#include <bitset>
#include <cmath>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <memory>
#include <numeric>
#include <set>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define _GLIBCXX_DEBUG

// Utility
using std::declval;
using std::distance;
using std::enable_if_t;
using std::get;
using std::index_sequence;
using std::is_array;
using std::is_pointer;
using std::is_same;
using std::iterator_traits;
using std::make_index_sequence;
using std::make_pair;
using std::make_tuple;
using std::make_unique;
using std::random_access_iterator_tag;
using std::stold;
using std::stoll;
using std::operator""s;
using std::abs;

// Types
using std::bitset;
using std::deque;
using std::list;
using std::multiset;
using std::nullptr_t;
using std::pair;
using std::tuple;
using std::unordered_multimap;
using std::unordered_multiset;
using ll = /** __int128; //*/ long long int;
using lf = long double;
using str = std::string;
template <class T> using u_set = std::unordered_set<T>;
template <class T> using vec = std::vector<T>;
using vecl = vec<ll>;
using vecf = vec<lf>;
using vecs = vec<str>;
template <class K, class V> using u_map = std::unordered_map<K, V>;
template <class V> using graph = u_map<V, u_set<V>>;
template <typename _Signature> using fun = std::function<_Signature>;

// Algorithms
using std::accumulate;
using std::all_of;
using std::any_of;
using std::back_inserter;
using std::copy;
using std::copy_if;
using std::count;
using std::count_if;
using std::find_if;
using std::for_each;
using std::inserter;
using std::lower_bound;
using std::max;
using std::max_element;
using std::min;
using std::min_element;
using std::next_permutation;
using std::none_of;
using std::partial_sum;
using std::remove_if;
using std::replace_if;
using std::reverse;
using std::set_difference;
using std::set_intersection;
using std::set_symmetric_difference;
using std::set_union;
using std::sort;
using std::swap;
using std::transform;
using std::unique;
using std::upper_bound;

namespace utils {
str to_string(__int128 const &x) { return std::to_string((long long)x); }
template <class T> T clamp(T const &v, T const &l, T const &h) {
  return min(h, max(l, v));
}
ll gcd(ll p, ll q) { return (q == 0) ? p : gcd(q, p % q); }
ll lcm(ll p, ll q) { return p / gcd(q, p) * q; }
} // namespace utils
using utils::clamp;
using utils::gcd;
using utils::lcm;
using utils::to_string;

namespace io {
// Input
using IS = std::istream;
IS &in(IS &);
IS &in(IS &i) { return i; }
template <class T, class... Ts> IS &in(IS &i, T &a, Ts &...as) {
  return in(i >> a, as...);
}
IS &operator>>(IS &i, __int128 &x) {
  long long int xx;
  i >> xx;
  x = xx;
  return i;
}
template <class V> IS &operator>>(IS &i, vec<V> &a) {
  for (auto &ai : a)
    i >> ai;
  return i;
}
template <class F, class S> IS &operator>>(IS &i, pair<F, S> &p) {
  return i >> p.first >> p.second;
}
template <class... Ts> IS &operator>>(IS &i, tuple<Ts...> &t) {
  return apply([&](auto &...ts) -> IS & { return in(i, ts...); }, t);
}
// Output
using OS = std::ostream;
OS &out_join(OS &o, str const &) { return o; }
template <class T> OS &out_join(OS &o, str const &, T const &a) {
  return o << a;
}
template <class T, class... Ts>
OS &out_join(OS &o, str const &sep, T const &a, Ts const &...as) {
  return out_join(o << a << sep, sep, as...);
}
OS &operator<<(OS &o, __int128 const &x) { return o << (long long int)x; }
template <class F, class S> OS &operator<<(OS &o, pair<F, S> const &p) {
  return o << p.first << ":" << p.second;
}
template <class... Ts, size_t... I>
OS &tuple_out(OS &o, tuple<Ts...> const &t, index_sequence<I...>) {
  return out_join(o, ",", get<I>(t)...);
}
template <class... Ts> OS &operator<<(OS &o, tuple<Ts...> const &t) {
  return tuple_out(o << "(", t, make_index_sequence<sizeof...(Ts)>()) << ")";
}
template <class T> struct Joiner {
  str const pre;
  str const post;
  str const sep;
  vec<T> const container;
  template <class Itr>
  Joiner(Itr const &begin, Itr const &end, str const &sep, str const &pre,
         str const &post)
      : pre(pre), post(post), sep(sep), container(begin, end) {}
};
template <class T> OS &operator<<(OS &o, Joiner<T> const &joiner) {
  auto itr = joiner.container.begin();
  auto end = joiner.container.end();
  o << joiner.pre;
  if (itr != end)
    o << *(itr++);
  while (itr != end)
    o << joiner.sep << *(itr++);
  return o << joiner.post;
}
template <class Itr>
auto join(Itr const &b, Itr const &e, str const &sep = ""s,
          str const &pre = ""s, str const &post = ""s) {
  using T = typename iterator_traits<Itr>::value_type;
  return Joiner<T>(b, e, sep, pre, post);
}
template <class C, enable_if_t<!is_same<C, str>::value && !is_array<C>::value &&
                                   !is_pointer<C>::value &&
                                   !std::is_arithmetic<C>::value,
                               nullptr_t> = nullptr>
OS &operator<<(OS &o, C const &a) {
  return o << join(a.begin(), a.end(), ",", "[", "]");
}
} // namespace io
using std::cerr;
using std::cin;
using std::cout;
auto init_io = []() {
  std::ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  cout.tie(nullptr);
  cout << std::fixed << std::setprecision(15);
};
auto input = [](auto &...a) { io::in(cin, a...); };
auto print = [](auto const &...a) { io::out_join(cout, " ", a...) << "\n"; };
#ifdef JUMPAKU_DEBUG
auto dump = [](auto const &...a) { io::out_join(cerr, " "s, a...) << "\n"; };
#else
auto dump = [](auto const &...) {};
#endif
using io::join;

// Hash
namespace hashcode {
template <class... Ts> size_t hash_args(size_t h, Ts const &...ts);
size_t hash_args(size_t h) { return h; }
template <class T, class... Ts>
size_t hash_args(size_t h, T const &t, Ts const &...ts) {
  constexpr std::hash<T> hasher;
  return hash_args(((h << 19) - h) ^ hasher(t), ts...);
}
template <class... Ts, size_t... I>
size_t hash_tuple(tuple<Ts...> const &t, index_sequence<I...>) {
  return hash_args(17, get<I>(t)...);
}
} // namespace hashcode
namespace std {
#if __GNUC__ == 5 || defined(__STRICT_ANSI__)
template <> struct hash<__int128> {
  size_t operator()(__int128 const &t) const {
    return (t & 0xffffff) ^ ((t >> 63) & 0xffffff);
  }
};
#endif
template <class... Ts> struct hash<tuple<Ts...>> {
  size_t operator()(tuple<Ts...> const &t) const {
    size_t h = hashcode::hash_tuple(t, index_sequence_for<Ts...>());
    return h ^ (h >> 32);
  }
};
template <class T> struct hash<u_set<T>> {
  size_t operator()(u_set<T> const &t) const {
    constexpr std::hash<T> hasher;
    return accumulate(
        t.begin(), t.end(), (size_t)0,
        [&](auto acc, auto const &ti) { return acc + hasher(ti); });
  }
};
} // namespace std

// Range
namespace ranges {
template <class T, class Itr> struct iterator_base {
  using difference_type = ll;
  using value_type = T;
  using pointer = T *;
  using reference = T &;
  using iterator_category = random_access_iterator_tag;
  ll i;
  iterator_base(ll const &i) : i(i) {}
  bool operator==(Itr const &itr) const { return i == itr.i; }
  bool operator!=(Itr const &itr) const { return i != itr.i; }
  ll operator-(Itr const &itr) const { return i - itr.i; }
  Itr operator++(int) { return with(i++); }
  Itr operator--(int) { return with(i--); }
  Itr operator+(ll const &n) const { return with(i + n); }
  Itr operator-(ll const &n) const { return with(i - n); }
  Itr &operator+=(ll const &n) {
    i += n;
    return self();
  }
  Itr &operator-=(ll const &n) { return self() += (-n); }
  Itr &operator++() { return self() += 1; }
  Itr &operator--() { return self() -= 1; }

protected:
  virtual Itr with(ll i) const = 0;
  virtual Itr &self() = 0;
};
template <class T> struct seq_base {
  ll const b;
  ll const e;
  seq_base(ll b, ll e) : b(b), e(max(b, e)) {}
  ll size() const { return e - b; }
  bool empty() const { return size() == 0; }
};
template <class T> struct seq : seq_base<T> {
  struct iterator : iterator_base<T, iterator> {
    seq<T> const &s;
    iterator(seq<T> const &s, ll const &i)
        : iterator_base<T, iterator>(i), s(s) {}
    iterator(iterator const &) = default;
    iterator with(ll i) const override { return iterator(s, i); }
    iterator &self() override { return *this; }
    T operator*() const { return s[this->i]; }
    iterator &operator=(iterator const &itr) {
      this->i = itr.i;
      return *this;
    }
  };
  fun<T(ll)> const f;
  seq(ll b, ll e, fun<T(ll)> const &f) : seq_base<T>(b, e), f(f) {}
  iterator begin() const { return iterator(*this, 0); }
  iterator end() const { return iterator(*this, this->size()); }
  T operator[](ll i) const { return f(i + this->b); }
};

struct range : seq_base<ll> {
  struct iterator : iterator_base<ll, iterator> {
    iterator(ll const &i) : iterator_base<ll, iterator>(i) {}
    iterator with(ll i) const override { return iterator(i); }
    iterator &self() override { return *this; }
    ll operator*() const { return i; }
  };
  range(ll n) : range(0, n) {}
  range(ll b, ll e) : seq_base<ll>(b, e) {}
  iterator begin() const { return iterator(b); }
  iterator end() const { return iterator(e); }
  bool has(ll x) const { return b <= x && x < e; }
  ll operator[](ll i) const { return i + b; }
};
} // namespace ranges
using range = ranges::range;
range::iterator end(ll i) { return range::iterator(i); }
range::iterator begin(ll i = 0) { return range::iterator(i); }
template <class F> auto seq(ll n, F const &f) {
  using T = decltype(f(declval<ll>()));
  return ranges::seq<T>(0LL, n, f);
}

namespace optional {
template <class T> struct opt {
  std::unique_ptr<T> ptr;
  opt(nullptr_t ptr = nullptr) : ptr(ptr){};
  opt(T const &val) : ptr(make_unique<T>(val)){};
  opt(opt<T> const &o) : opt<T>(nullptr) {
    if (o)
      ptr = make_unique<T>(*o);
  }
  opt(opt<T> &&) = default;
  opt<T> &operator=(opt<T> const &o) {
    ptr = o ? make_unique<T>(*o) : nullptr;
    return *this;
  }
  opt<T> &operator=(opt<T> &&) = default;
  operator bool() const { return has_value(); }
  T &operator*() { return value(); }
  T const &operator*() const { return value(); }
  T *operator->() { return &(*ptr); }
  T const *operator->() const { return &(*ptr); }
  T &value() { return *ptr; }
  T const &value() const { return *ptr; }
  T value_or(T const &val) const { return (ptr) ? value() : val; }
  bool has_value() const { return ptr != nullptr; }
};
template <class T> io::OS &operator<<(io::OS &o, opt<T> const &opt) {
  using io::operator<<;
  return opt.has_value() ? (o << "Some(" << opt.value() << ")") : (o << "None");
}
} // namespace optional
using optional::opt;

bool odd(ll n) { return n & 1; }
bool even(ll n) { return !odd(n); }

bool imply(bool p, bool q) { return !p || q; }
bool iff(bool p, bool q) { return p == q; }

constexpr lf PI = 3.141592653589793238462643383279502884L;
constexpr ll MOD = 1e9 + 7;

#endif /* TEMPLATE_HPP */

/**
// DP Definition
using Data = struct {};
using Key = tuple<>;
using Value = ll;
using Cache = u_map<Key, Value>;
struct DP {
  Data data;
  Cache cache;
  DP(Data const &data) : data(data), cache((ll)1e6) {}
  Value compute(Key const &key) {
    if (IS_INITIAL)
      return INITIAL_VALUE;
    auto found = cache.find(key);
    if (found != cache.end())
      return found->second;
    return cache[key] = RECURSION_CALL(this->compute(Key{}));
  }
};
// DP Call
/*
  DP dp(Data{});
  print(dp.compute(Key{}));
*/

void solve();
int main(int, char *[]) {
  init_io();
  ll t = 1;
  /** input(t); /**/
  while (t--)
    solve();
  cout.flush();
}

#ifndef TEMPLATE_HPP
#include "../template.hpp"
#endif

/**
 * DIJKSTRA
 */
template <class V, class F,
          enable_if_t<std::is_constructible<fun<ll(V, V)>, F>::value,
                      nullptr_t> = nullptr>
u_map<V, V> dijkstra_path(V const start, graph<V> const &g, F const &dist,
                          u_set<V> const &vs) {
  ll constexpr inf = 0x7fff'ffff'ffff'ffff;
  auto d = u_map<V, ll>{};
  for (auto &&v : vs)
    d[v] = inf;
  u_map<V, V> prev;
  auto cmp = [](auto &t0, auto &t1) { return get<0>(t0) < get<0>(t1); };
  auto q = multiset<tuple<ll, V>, decltype(cmp)>(cmp);
  q.insert(make_tuple(d[start] = 0, start));
  while (!q.empty()) {
    auto u = get<1>(*q.begin());
    q.erase(q.begin());
    if (g.find(u) == g.end())
      continue;
    for (auto const &v : g.at(u)) {
      auto alt = d[u] + dist(u, v);
      if (d[v] > alt) {
        q.insert(make_tuple(d[v] = alt, v));
        prev[v] = u;
      }
    }
  }
  return prev;
}
/* end of DIJKSTRA */

#ifndef TEMPLATE_HPP
#include "../template.hpp"
#endif

/**
 * GRAPH_SEARCH
 */
namespace graph_search {

template <class V, class F,
          enable_if_t<std::is_constructible<fun<void(opt<V>, V)>, F>::value,
                      nullptr_t> = nullptr>
void dfs_impl(graph<V> const &g, V const &v, F const &process,
              u_set<V> &visited) {
  if (g.find(v) == g.end())
    return;
  for (auto const &u : g.at(v)) {
    if (visited.find(u) == visited.end()) {
      visited.insert(u);
      process(opt<V>(v), u);
      dfs_impl(g, u, process, visited);
    }
  }
} // namespace graph_search
template <class V, class F,
          enable_if_t<std::is_constructible<fun<void(opt<V>, V)>, F>::value,
                      nullptr_t> = nullptr>
void dfs(graph<V> const &g, V const &root, F const &process) {
  u_set<V> visited{root};
  process(opt<V>(nullptr), root);
  dfs_impl(g, root, process, visited);
}
template <class V, class F,
          enable_if_t<std::is_constructible<fun<void(opt<V>, V)>, F>::value,
                      nullptr_t> = nullptr>
void bfs(graph<V> const &g, V const &root, F const &process) {
  list<pair<opt<V>, V>> l{{opt<V>(nullptr), root}};
  u_set<V> visited{root};
  while (!l.empty()) {
    auto parent = l.front().first;
    auto v = l.front().second;
    l.pop_front();
    process(parent, v);
    if (g.find(v) == g.end())
      return;
    for (auto const &u : g.at(v)) {
      if (visited.find(u) == visited.end()) {
        l.push_back({opt<V>(v), u});
        visited.insert(u);
      }
    }
  }
}
} // namespace graph_search

using graph_search::bfs;
using graph_search::dfs;
/* end of GRAPH_SEARCH */
void solve() {
  ll N;
  input(N);
  graph<ll> G;
  for (auto &&i : range(N - 1)) {
    ll a, b;
    input(a, b);
    G[a].insert(b);
    G[b].insert(a);
  }
  auto prev = dijkstra_path((ll)1, G, [&](ll, ll) { return (ll)1; },
                            u_set<ll>(begin(1), end(N + 1)));
  dump(G);
  dump(prev);
  vecl path;
  {
    ll v = N;
    while (v != 1) {
      path.push_back(v);
      v = prev[v];
    }
    path.push_back(1);
    reverse(path.begin(), path.end());
  }
  dump(path);
  ll M = path.size();
  list<ll> vF(path.begin(), path.begin() + (M + 1) / 2);
  list<ll> vS(path.begin() + (M + 1) / 2, path.end());
  dump(vF, vS);

  u_map<ll, ll> color;
  {
    for (auto const &v : vF)
      color[v] = 0;
    for (auto const &v : vS)
      color[v] = 1;
  }
  for (auto &&v : path) {
    dfs(G, v, [&](auto p, auto c) {
      if (color.find(c) != color.end())
        return;
      if (!p)
        return;
      color[c] = color[p.value()];
    });
  }
  dump(color);
  ll nF = count_if(color.begin(), color.end(),
                   [&](auto const &c) { return c.second == 0; });
  ll nS = count_if(color.begin(), color.end(),
                   [&](auto const &c) { return c.second == 1; });
  print(nF > nS ? "Fennec"s : "Snuke"s);
}


Fixed submission:

#ifndef TEMPLATE_HPP
#define TEMPLATE_HPP

#include <algorithm>
#include <bitset>
#include <cmath>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <memory>
#include <numeric>
#include <set>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define _GLIBCXX_DEBUG

// Utility
using std::declval;
using std::distance;
using std::enable_if_t;
using std::get;
using std::index_sequence;
using std::is_array;
using std::is_pointer;
using std::is_same;
using std::iterator_traits;
using std::make_index_sequence;
using std::make_pair;
using std::make_tuple;
using std::make_unique;
using std::random_access_iterator_tag;
using std::stold;
using std::stoll;
using std::operator""s;
using std::abs;

// Types
using std::bitset;
using std::deque;
using std::list;
using std::multiset;
using std::nullptr_t;
using std::pair;
using std::tuple;
using std::unordered_multimap;
using std::unordered_multiset;
using ll = /** __int128; //*/ long long int;
using lf = long double;
using str = std::string;
template <class T> using u_set = std::unordered_set<T>;
template <class T> using vec = std::vector<T>;
using vecl = vec<ll>;
using vecf = vec<lf>;
using vecs = vec<str>;
template <class K, class V> using u_map = std::unordered_map<K, V>;
template <class V> using graph = u_map<V, u_set<V>>;
template <typename _Signature> using fun = std::function<_Signature>;

// Algorithms
using std::accumulate;
using std::all_of;
using std::any_of;
using std::back_inserter;
using std::copy;
using std::copy_if;
using std::count;
using std::count_if;
using std::find_if;
using std::for_each;
using std::inserter;
using std::lower_bound;
using std::max;
using std::max_element;
using std::min;
using std::min_element;
using std::next_permutation;
using std::none_of;
using std::partial_sum;
using std::remove_if;
using std::replace_if;
using std::reverse;
using std::set_difference;
using std::set_intersection;
using std::set_symmetric_difference;
using std::set_union;
using std::sort;
using std::swap;
using std::transform;
using std::unique;
using std::upper_bound;

namespace utils {
str to_string(__int128 const &x) { return std::to_string((long long)x); }
template <class T> T clamp(T const &v, T const &l, T const &h) {
  return min(h, max(l, v));
}
ll gcd(ll p, ll q) { return (q == 0) ? p : gcd(q, p % q); }
ll lcm(ll p, ll q) { return p / gcd(q, p) * q; }
} // namespace utils
using utils::clamp;
using utils::gcd;
using utils::lcm;
using utils::to_string;

namespace io {
// Input
using IS = std::istream;
IS &in(IS &);
IS &in(IS &i) { return i; }
template <class T, class... Ts> IS &in(IS &i, T &a, Ts &...as) {
  return in(i >> a, as...);
}
IS &operator>>(IS &i, __int128 &x) {
  long long int xx;
  i >> xx;
  x = xx;
  return i;
}
template <class V> IS &operator>>(IS &i, vec<V> &a) {
  for (auto &ai : a)
    i >> ai;
  return i;
}
template <class F, class S> IS &operator>>(IS &i, pair<F, S> &p) {
  return i >> p.first >> p.second;
}
template <class... Ts> IS &operator>>(IS &i, tuple<Ts...> &t) {
  return apply([&](auto &...ts) -> IS & { return in(i, ts...); }, t);
}
// Output
using OS = std::ostream;
OS &out_join(OS &o, str const &) { return o; }
template <class T> OS &out_join(OS &o, str const &, T const &a) {
  return o << a;
}
template <class T, class... Ts>
OS &out_join(OS &o, str const &sep, T const &a, Ts const &...as) {
  return out_join(o << a << sep, sep, as...);
}
OS &operator<<(OS &o, __int128 const &x) { return o << (long long int)x; }
template <class F, class S> OS &operator<<(OS &o, pair<F, S> const &p) {
  return o << p.first << ":" << p.second;
}
template <class... Ts, size_t... I>
OS &tuple_out(OS &o, tuple<Ts...> const &t, index_sequence<I...>) {
  return out_join(o, ",", get<I>(t)...);
}
template <class... Ts> OS &operator<<(OS &o, tuple<Ts...> const &t) {
  return tuple_out(o << "(", t, make_index_sequence<sizeof...(Ts)>()) << ")";
}
template <class T> struct Joiner {
  str const pre;
  str const post;
  str const sep;
  vec<T> const container;
  template <class Itr>
  Joiner(Itr const &begin, Itr const &end, str const &sep, str const &pre,
         str const &post)
      : pre(pre), post(post), sep(sep), container(begin, end) {}
};
template <class T> OS &operator<<(OS &o, Joiner<T> const &joiner) {
  auto itr = joiner.container.begin();
  auto end = joiner.container.end();
  o << joiner.pre;
  if (itr != end)
    o << *(itr++);
  while (itr != end)
    o << joiner.sep << *(itr++);
  return o << joiner.post;
}
template <class Itr>
auto join(Itr const &b, Itr const &e, str const &sep = ""s,
          str const &pre = ""s, str const &post = ""s) {
  using T = typename iterator_traits<Itr>::value_type;
  return Joiner<T>(b, e, sep, pre, post);
}
template <class C, enable_if_t<!is_same<C, str>::value && !is_array<C>::value &&
                                   !is_pointer<C>::value &&
                                   !std::is_arithmetic<C>::value,
                               nullptr_t> = nullptr>
OS &operator<<(OS &o, C const &a) {
  return o << join(a.begin(), a.end(), ",", "[", "]");
}
} // namespace io
using std::cerr;
using std::cin;
using std::cout;
auto init_io = []() {
  std::ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  cout.tie(nullptr);
  cout << std::fixed << std::setprecision(15);
};
auto input = [](auto &...a) { io::in(cin, a...); };
auto print = [](auto const &...a) { io::out_join(cout, " ", a...) << "\n"; };
#ifdef JUMPAKU_DEBUG
auto dump = [](auto const &...a) { io::out_join(cerr, " "s, a...) << "\n"; };
#else
auto dump = [](auto const &...) {};
#endif
using io::join;

// Hash
namespace hashcode {
template <class... Ts> size_t hash_args(size_t h, Ts const &...ts);
size_t hash_args(size_t h) { return h; }
template <class T, class... Ts>
size_t hash_args(size_t h, T const &t, Ts const &...ts) {
  constexpr std::hash<T> hasher;
  return hash_args(((h << 19) - h) ^ hasher(t), ts...);
}
template <class... Ts, size_t... I>
size_t hash_tuple(tuple<Ts...> const &t, index_sequence<I...>) {
  return hash_args(17, get<I>(t)...);
}
} // namespace hashcode
namespace std {
#if __GNUC__ == 5 || defined(__STRICT_ANSI__)
template <> struct hash<__int128> {
  size_t operator()(__int128 const &t) const {
    return (t & 0xffffff) ^ ((t >> 63) & 0xffffff);
  }
};
#endif
template <class... Ts> struct hash<tuple<Ts...>> {
  size_t operator()(tuple<Ts...> const &t) const {
    size_t h = hashcode::hash_tuple(t, index_sequence_for<Ts...>());
    return h ^ (h >> 32);
  }
};
template <class T> struct hash<u_set<T>> {
  size_t operator()(u_set<T> const &t) const {
    constexpr std::hash<T> hasher;
    return accumulate(
        t.begin(), t.end(), (size_t)0,
        [&](auto acc, auto const &ti) { return acc + hasher(ti); });
  }
};
} // namespace std

// Range
namespace ranges {
template <class T, class Itr> struct iterator_base {
  using difference_type = ll;
  using value_type = T;
  using pointer = T *;
  using reference = T &;
  using iterator_category = random_access_iterator_tag;
  ll i;
  iterator_base(ll const &i) : i(i) {}
  bool operator==(Itr const &itr) const { return i == itr.i; }
  bool operator!=(Itr const &itr) const { return i != itr.i; }
  ll operator-(Itr const &itr) const { return i - itr.i; }
  Itr operator++(int) { return with(i++); }
  Itr operator--(int) { return with(i--); }
  Itr operator+(ll const &n) const { return with(i + n); }
  Itr operator-(ll const &n) const { return with(i - n); }
  Itr &operator+=(ll const &n) {
    i += n;
    return self();
  }
  Itr &operator-=(ll const &n) { return self() += (-n); }
  Itr &operator++() { return self() += 1; }
  Itr &operator--() { return self() -= 1; }

protected:
  virtual Itr with(ll i) const = 0;
  virtual Itr &self() = 0;
};
template <class T> struct seq_base {
  ll const b;
  ll const e;
  seq_base(ll b, ll e) : b(b), e(max(b, e)) {}
  ll size() const { return e - b; }
  bool empty() const { return size() == 0; }
};
template <class T> struct seq : seq_base<T> {
  struct iterator : iterator_base<T, iterator> {
    seq<T> const &s;
    iterator(seq<T> const &s, ll const &i)
        : iterator_base<T, iterator>(i), s(s) {}
    iterator(iterator const &) = default;
    iterator with(ll i) const override { return iterator(s, i); }
    iterator &self() override { return *this; }
    T operator*() const { return s[this->i]; }
    iterator &operator=(iterator const &itr) {
      this->i = itr.i;
      return *this;
    }
  };
  fun<T(ll)> const f;
  seq(ll b, ll e, fun<T(ll)> const &f) : seq_base<T>(b, e), f(f) {}
  iterator begin() const { return iterator(*this, 0); }
  iterator end() const { return iterator(*this, this->size()); }
  T operator[](ll i) const { return f(i + this->b); }
};

struct range : seq_base<ll> {
  struct iterator : iterator_base<ll, iterator> {
    iterator(ll const &i) : iterator_base<ll, iterator>(i) {}
    iterator with(ll i) const override { return iterator(i); }
    iterator &self() override { return *this; }
    ll operator*() const { return i; }
  };
  range(ll n) : range(0, n) {}
  range(ll b, ll e) : seq_base<ll>(b, e) {}
  iterator begin() const { return iterator(b); }
  iterator end() const { return iterator(e); }
  bool has(ll x) const { return b <= x && x < e; }
  ll operator[](ll i) const { return i + b; }
};
} // namespace ranges
using range = ranges::range;
range::iterator end(ll i) { return range::iterator(i); }
range::iterator begin(ll i = 0) { return range::iterator(i); }
template <class F> auto seq(ll n, F const &f) {
  using T = decltype(f(declval<ll>()));
  return ranges::seq<T>(0LL, n, f);
}

namespace optional {
template <class T> struct opt {
  std::unique_ptr<T> ptr;
  opt(nullptr_t ptr = nullptr) : ptr(ptr){};
  opt(T const &val) : ptr(make_unique<T>(val)){};
  opt(opt<T> const &o) : opt<T>(nullptr) {
    if (o)
      ptr = make_unique<T>(*o);
  }
  opt(opt<T> &&) = default;
  opt<T> &operator=(opt<T> const &o) {
    ptr = o ? make_unique<T>(*o) : nullptr;
    return *this;
  }
  opt<T> &operator=(opt<T> &&) = default;
  operator bool() const { return has_value(); }
  T &operator*() { return value(); }
  T const &operator*() const { return value(); }
  T *operator->() { return &(*ptr); }
  T const *operator->() const { return &(*ptr); }
  T &value() { return *ptr; }
  T const &value() const { return *ptr; }
  T value_or(T const &val) const { return (ptr) ? value() : val; }
  bool has_value() const { return ptr != nullptr; }
};
template <class T> io::OS &operator<<(io::OS &o, opt<T> const &opt) {
  using io::operator<<;
  return opt.has_value() ? (o << "Some(" << opt.value() << ")") : (o << "None");
}
} // namespace optional
using optional::opt;

bool odd(ll n) { return n & 1; }
bool even(ll n) { return !odd(n); }

bool imply(bool p, bool q) { return !p || q; }
bool iff(bool p, bool q) { return p == q; }

constexpr lf PI = 3.141592653589793238462643383279502884L;
constexpr ll MOD = 1e9 + 7;

#endif /* TEMPLATE_HPP */

/**
// DP Definition
using Data = struct {};
using Key = tuple<>;
using Value = ll;
using Cache = u_map<Key, Value>;
struct DP {
  Data data;
  Cache cache;
  DP(Data const &data) : data(data), cache((ll)1e6) {}
  Value compute(Key const &key) {
    if (IS_INITIAL)
      return INITIAL_VALUE;
    auto found = cache.find(key);
    if (found != cache.end())
      return found->second;
    return cache[key] = RECURSION_CALL(this->compute(Key{}));
  }
};
// DP Call
/*
  DP dp(Data{});
  print(dp.compute(Key{}));
*/

void solve();
int main(int, char *[]) {
  init_io();
  ll t = 1;
  /** input(t); /**/
  while (t--)
    solve();
  cout.flush();
}

#ifndef TEMPLATE_HPP
#include "../template.hpp"
#endif

/**
 * DIJKSTRA
 */
template <class V, class F,
          enable_if_t<std::is_constructible<fun<ll(V, V)>, F>::value,
                      nullptr_t> = nullptr>
u_map<V, V> dijkstra_path(V const start, graph<V> const &g, F const &dist,
                          u_set<V> const &vs) {
  ll constexpr inf = 0x7fff'ffff'ffff'ffff;
  auto d = u_map<V, ll>{};
  for (auto &&v : vs)
    d[v] = inf;
  u_map<V, V> prev;
  auto cmp = [](auto &t0, auto &t1) { return get<0>(t0) < get<0>(t1); };
  auto q = multiset<tuple<ll, V>, decltype(cmp)>(cmp);
  q.insert(make_tuple(d[start] = 0, start));
  while (!q.empty()) {
    auto u = get<1>(*q.begin());
    q.erase(q.begin());
    if (g.find(u) == g.end())
      continue;
    for (auto const &v : g.at(u)) {
      auto alt = d[u] + dist(u, v);
      if (d[v] > alt) {
        q.insert(make_tuple(d[v] = alt, v));
        prev[v] = u;
      }
    }
  }
  return prev;
}
/* end of DIJKSTRA */

#ifndef TEMPLATE_HPP
#include "../template.hpp"
#endif

/**
 * GRAPH_SEARCH
 */
namespace graph_search {

template <class V, class F,
          enable_if_t<std::is_constructible<fun<void(opt<V>, V)>, F>::value,
                      nullptr_t> = nullptr>
void dfs_impl(graph<V> const &g, V const &v, F const &process,
              u_set<V> &visited) {
  if (g.find(v) == g.end())
    return;
  for (auto const &u : g.at(v)) {
    if (visited.find(u) == visited.end()) {
      visited.insert(u);
      process(opt<V>(v), u);
      dfs_impl(g, u, process, visited);
    }
  }
} // namespace graph_search
template <class V, class F,
          enable_if_t<std::is_constructible<fun<void(opt<V>, V)>, F>::value,
                      nullptr_t> = nullptr>
void dfs(graph<V> const &g, V const &root, F const &process) {
  u_set<V> visited{root};
  process(opt<V>(nullptr), root);
  dfs_impl(g, root, process, visited);
}
template <class V, class F,
          enable_if_t<std::is_constructible<fun<void(opt<V>, V)>, F>::value,
                      nullptr_t> = nullptr>
void bfs(graph<V> const &g, V const &root, F const &process) {
  list<pair<opt<V>, V>> l{{opt<V>(nullptr), root}};
  u_set<V> visited{root};
  while (!l.empty()) {
    auto parent = l.front().first;
    auto v = l.front().second;
    l.pop_front();
    process(parent, v);
    if (g.find(v) == g.end())
      return;
    for (auto const &u : g.at(v)) {
      if (visited.find(u) == visited.end()) {
        l.push_back({opt<V>(v), u});
        visited.insert(u);
      }
    }
  }
}
} // namespace graph_search

using graph_search::bfs;
using graph_search::dfs;
/* end of GRAPH_SEARCH */
void solve() {
  ll N;
  input(N);
  graph<ll> G;
  for (auto &&i : range(N - 1)) {
    ll a, b;
    input(a, b);
    G[a].insert(b);
    G[b].insert(a);
  }
  auto prev = dijkstra_path((ll)1, G, [&](ll, ll) { return (ll)1; },
                            u_set<ll>(begin(1), end(N + 1)));
  dump(G);
  dump(prev);
  vecl path;
  {
    ll v = N;
    while (v != 1) {
      path.push_back(v);
      v = prev[v];
    }
    path.push_back(1);
    reverse(path.begin(), path.end());
  }
  dump(path);
  ll M = path.size();
  list<ll> vF(path.begin(), path.begin() + (M + 1) / 2);
  list<ll> vS(path.begin() + (M + 1) / 2, path.end());
  dump(vF, vS);

  u_map<ll, ll> color;
  {
    for (auto const &v : vF)
      color[v] = 0;
    for (auto const &v : vS)
      color[v] = 1;
  }
  dfs(G, (ll)1, [&](auto p, auto c) {
    if (color.find(c) != color.end())
      return;
    if (!p)
      return;
    color[c] = color[p.value()];
  });
  dump(color);
  ll nF = count_if(color.begin(), color.end(),
                   [&](auto const &c) { return c.second == 0; });
  ll nS = count_if(color.begin(), color.end(),
                   [&](auto const &c) { return c.second == 1; });
  print(nF > nS ? "Fennec"s : "Snuke"s);
}