Problem:
Score : 800 points

Problem Statement

Takahashi and Aoki will play a game on a tree.
The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.

At the beginning of the game, each vertex contains a coin.
Starting from Takahashi, he and Aoki will alternately perform the following operation:

Choose a vertex v that contains one or more coins, and remove all the coins from v.

Then, move each coin remaining on the tree to the vertex that is nearest to v among the adjacent vertices of the coin's current vertex.

The player who becomes unable to play, loses the game.
That is, the player who takes his turn when there is no coin remaining on the tree, loses the game.
Determine the winner of the game when both players play optimally.

Constraints

1 \leq N \leq 2 \times 10^5

1 \leq a_i, b_i \leq N

a_i \neq b_i

The graph given as input is a tree.

Input

Input is given from Standard Input in the following format:

N
a_1 b_1
a_2 b_2
:
a_{N-1} b_{N-1}

Output

Print First if Takahashi will win, and print Second if Aoki will win.

Sample Input 1

3
1 2
2 3

Sample Output 1

First

Here is one possible progress of the game:

Takahashi removes the coin from Vertex 1. Now, Vertex 1 and Vertex 2 contain one coin each.

Aoki removes the coin from Vertex 2. Now, Vertex 2 contains one coin.

Takahashi removes the coin from Vertex 2. Now, there is no coin remaining on the tree.

Aoki takes his turn when there is no coin on the tree and loses.

Sample Input 2

6
1 2
2 3
2 4
4 6
5 6

Sample Output 2

Second

Sample Input 3

7
1 7
7 4
3 4
7 5
6 3
2 1

Sample Output 3

First

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

/**
 * 
 */

// header {{{
#include <bits/stdc++.h>
using namespace std;

#define CPP_STR(x) CPP_STR_I(x)
#define CPP_CAT(x,y) CPP_CAT_I(x,y)
#define CPP_STR_I(args...) #args
#define CPP_CAT_I(x,y) x ## y

#define SFINAE(pred...) std::enable_if_t<(pred), std::nullptr_t> = nullptr

#define ASSERT(expr...) assert((expr))

using i8  = int8_t;
using u8  = uint8_t;
using i16 = int16_t;
using u16 = uint16_t;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;

using f32 = float;
using f64 = double;
using f80 = __float80;
// }}}

constexpr i64 INF  = INT64_C(1'010'000'000'000'000'017);
constexpr f64 FINF = 1e100;

constexpr i64 MOD = INT64_C(1'000'000'007);
//constexpr i64 MOD = INT64_C(998'244'353);

constexpr f64 EPS = 1e-12;

constexpr f64 PI = 3.14159265358979323846;

// util {{{
#define FOR(i, start, end) for(i64 i = (start), CPP_CAT(i,xxxx_end)=(end); i < CPP_CAT(i,xxxx_end); ++i)
#define REP(i, n) FOR(i, 0, n)

#define ALL(f,c,...) (([&](decltype((c)) cccc) { return (f)(std::begin(cccc), std::end(cccc), ## __VA_ARGS__); })(c))

#define LIFT(f) ([](auto&&... args) -> decltype(auto) { return (f)(std::forward<decltype(args)>(args)...); })

template<typename C>
constexpr i64 SIZE(const C& c) noexcept { return static_cast<i64>(c.size()); }

template<typename T, size_t N>
constexpr i64 SIZE(const T (&)[N]) noexcept { return static_cast<i64>(N); }

template<typename T, SFINAE(is_signed<T>::value)>
constexpr T ABS(T x) noexcept {
    return x < 0 ? -x : x;
}

template<typename T>
constexpr i64 CMP(T x, T y) noexcept { return (y<x) - (x<y); }

template<typename T>
constexpr i64 SGN(T x) noexcept { return CMP(x,T(0)); }

template<typename T, typename U, typename Comp=less<>>
constexpr bool chmax(T& xmax, const U& x, Comp comp={}) noexcept {
    if(comp(xmax, x)) {
        xmax = x;
        return true;
    }
    return false;
}

template<typename T, typename U, typename Comp=less<>>
constexpr bool chmin(T& xmin, const U& x, Comp comp={}) noexcept {
    if(comp(x, xmin)) {
        xmin = x;
        return true;
    }
    return false;
}

template<typename BinaryFunc, typename UnaryFunc>
auto ON(BinaryFunc&& bf, UnaryFunc&& uf) {
    return [bf=forward<BinaryFunc>(bf),uf=forward<UnaryFunc>(uf)](const auto& x, const auto& y) {
        return bf(uf(x), uf(y));
    };
}

template<typename F>
auto LT_ON(F&& f) {
    return ON(less<>{}, forward<F>(f));
}

template<typename F>
auto GT_ON(F&& f) {
    return ON(greater<>{}, forward<F>(f));
}

template<typename F>
auto EQ_ON(F&& f) {
    return ON(equal_to<>{}, forward<F>(f));
}

template<typename F>
auto NE_ON(F&& f) {
    return ON(not_equal_to<>{}, forward<F>(f));
}

// tuple {{{
template<i64 I=0, typename F, typename... TS, SFINAE(sizeof...(TS) == I)>
void tuple_enumerate(tuple<TS...>&, F&&) {}

template<i64 I=0, typename F, typename... TS, SFINAE(sizeof...(TS) > I)>
void tuple_enumerate(tuple<TS...>& t, F&& f) {
    f(I, get<I>(t));
    tuple_enumerate<I+1>(t, forward<F>(f));
}

template<i64 I=0, typename F, typename... TS, SFINAE(sizeof...(TS) == I)>
void tuple_enumerate(const tuple<TS...>&, F&&) {}

template<i64 I=0, typename F, typename... TS, SFINAE(sizeof...(TS) > I)>
void tuple_enumerate(const tuple<TS...>& t, F&& f) {
    f(I, get<I>(t));
    tuple_enumerate<I+1>(t, forward<F>(f));
}
// }}}

// container {{{
template<typename T> struct is_container : false_type {};
template<typename T, size_t N> struct is_container<array<T,N>> : true_type {};
template<typename... Args> struct is_container<vector<Args...>> : true_type {};
template<typename... Args> struct is_container<deque<Args...>> : true_type {};
template<typename... Args> struct is_container<list<Args...>> : true_type {};
template<typename... Args> struct is_container<forward_list<Args...>> : true_type {};
template<typename... Args> struct is_container<set<Args...>> : true_type {};
template<typename... Args> struct is_container<multiset<Args...>> : true_type {};
template<typename... Args> struct is_container<unordered_set<Args...>> : true_type {};
template<typename... Args> struct is_container<unordered_multiset<Args...>> : true_type {};
template<typename... Args> struct is_container<map<Args...>> : true_type {};
template<typename... Args> struct is_container<multimap<Args...>> : true_type {};
template<typename... Args> struct is_container<unordered_map<Args...>> : true_type {};
template<typename... Args> struct is_container<unordered_multimap<Args...>> : true_type {};

template<typename T, typename Enable=void>
struct ProconHash {
    size_t operator()(const T& x) const noexcept {
        return hash<T>{}(x);
    }
};

template<typename T>
size_t procon_hash_value(const T& x) noexcept {
    return ProconHash<T>{}(x);
}

size_t procon_hash_combine(size_t h1, size_t h2) noexcept {
    constexpr size_t M = UINT64_C(0xc6a4a7935bd1e995);
    constexpr int    R = 47;

    h2 *= M;
    h2 ^= h2 >> R;
    h2 *= M;

    h1 ^= h2;
    h1 *= M;

    h1 += 0xe6546b64;

    return h1;
}

template<typename T1, typename T2>
struct ProconHash<pair<T1,T2>> {
    size_t operator()(const pair<T1,T2>& p) const noexcept {
        size_t h1 = procon_hash_value(p.first);
        size_t h2 = procon_hash_value(p.second);
        return procon_hash_combine(h1, h2);
    }
};

template<typename... TS>
struct ProconHash<tuple<TS...>> {
    size_t operator()(const tuple<TS...>& t) const noexcept {
        size_t h = 0;
        tuple_enumerate(t, [&h](i64, const auto& e) {
            h = procon_hash_combine(h, procon_hash_value(e));
        });
        return h;
    }
};

template<typename C>
struct ProconHash<C,enable_if_t<is_container<C>::value>> {
    size_t operator()(const C& c) const noexcept {
        size_t h = 0;
        for(const auto& e : c)
            h = procon_hash_combine(h, procon_hash_value(e));
        return h;
    }
};

template<typename T, typename Hash=ProconHash<T>, typename Eq=equal_to<T>>
using HashSet = unordered_set<T,Hash,Eq>;
template<typename K, typename V, typename Hash=ProconHash<K>, typename Eq=equal_to<K>>
using HashMap = unordered_map<K,V,Hash,Eq>;
template<typename T, typename Hash=ProconHash<T>, typename Eq=equal_to<T>>
using HashMultiset = unordered_multiset<T,Hash,Eq>;
template<typename K, typename V, typename Hash=ProconHash<K>, typename Eq=equal_to<K>>
using HashMultimap = unordered_multimap<K,V,Hash,Eq>;

template<typename T>
auto vec_make(i64 n, T x) {
    return vector<T>(n, x);
}

template<typename T, typename... Args, SFINAE(sizeof...(Args) >= 2)>
auto vec_make(i64 n, Args... args) {
    auto inner = vec_make<T>(args...);
    return vector<decltype(inner)>(n, inner);
}

template<typename T>
auto vec_reserve(i64 cap) {
    vector<T> res;
    res.reserve(cap);
    return res;
}

template<typename T=i64>
auto vec_iota(i64 n, T init={}) {
    vector<i64> res(n);
    ALL(iota, res, init);
    return res;
}

template<typename T, typename Comp, typename Cont=vector<T>>
auto priority_queue_make(const Comp& comp, Cont&& cont={}) {
    return priority_queue<T,remove_reference_t<Cont>,Comp>(comp, forward<Cont>(cont));
}

template<typename T, typename Comp>
auto priority_queue_reserve(const Comp& comp, i64 cap) {
    return priority_queue<T,vector<T>,Comp>(comp, vec_reserve<T>(cap));
}

template<typename T, size_t N, size_t... NS>
struct ArrayType {
    using type = array<typename ArrayType<T,NS...>::type,N>;
};

template<typename T, size_t N>
struct ArrayType<T,N> {
    using type = array<T,N>;
};

template<typename T, size_t... NS>
using Array = typename ArrayType<T,NS...>::type;

template<typename T, size_t N>
T& array_at(Array<T,N>& ary, i64 i) {
    return ary[i];
}

template<typename T, size_t N, size_t... NS, typename... Args>
T& array_at(Array<T,N,NS...>& ary, i64 i, Args... args) {
    return array_at<T,NS...>(ary[i], args...);
}

template<typename T, size_t N>
const T& array_at(const Array<T,N>& ary, i64 i) {
    return ary[i];
}

template<typename T, size_t N, size_t... NS, typename... Args>
const T& array_at(const Array<T,N,NS...>& ary, i64 i, Args... args) {
    return array_at<T,NS...>(ary[i], args...);
}

template<typename T, typename C>
T POP(stack<T,C>& stk) {
    T x = stk.top(); stk.pop();
    return x;
}

template<typename T, typename C>
T POP(queue<T,C>& que) {
    T x = que.front(); que.pop();
    return x;
}

template<typename T, typename C, typename Comp>
T POP(priority_queue<T,C,Comp>& que) {
    T x = que.top(); que.pop();
    return x;
}
// }}}

// fixpoint {{{
template<typename F>
class FixPoint {
public:
    explicit constexpr FixPoint(F&& f) : f_(forward<F>(f)) {}

    template<typename... Args>
    constexpr decltype(auto) operator()(Args&&... args) const {
        return f_(*this, forward<Args>(args)...);
    }

private:
    F f_;
};

template<typename F>
constexpr decltype(auto) FIX(F&& f) {
    return FixPoint<F>(forward<F>(f));
}

template<typename F, size_t... NS>
class FixPointMemo {
public:
    explicit FixPointMemo(F&& f) : f_(forward<F>(f)) {}

    template<typename... Args>
    decltype(auto) operator()(Args... args) const {
        using R = decltype(f_(*this,args...));
        static Array<bool,NS...> done {};
        static Array<R,NS...>    memo;

        if(!array_at<bool,NS...>(done,args...)) {
            array_at<R,NS...>(memo,args...) = f_(*this,args...);
            array_at<bool,NS...>(done,args...) = true;
        }
        return array_at<R,NS...>(memo,args...);
    }

private:
    F f_;
};

template<size_t... NS, typename F>
decltype(auto) FIXMEMO(F&& f) {
    return FixPointMemo<F,NS...>(forward<F>(f));
}
// }}}

// math {{{
/*constexpr*/ i64 GCD(i64 a, i64 b) noexcept {
    /*constexpr*/ auto f_gcd = FIX([](auto&& self, i64 aa, i64 bb) {
        if(bb == 0) return aa;
        return self(bb, aa%bb);
    });
    return f_gcd(ABS(a), ABS(b));
}

/*constexpr*/ i64 LCM(i64 a, i64 b) noexcept {
    ASSERT(a != 0 && b != 0);
    /*constexpr*/ auto f_gcd = FIX([](auto&& self, i64 aa, i64 bb) {
        if(bb == 0) return aa;
        return self(bb, aa%bb);
    });
    a = ABS(a);
    b = ABS(b);
    return a / f_gcd(a,b) * b;
}

/*constexpr*/ tuple<i64,i64,i64> EXTGCD(i64 a, i64 b) noexcept {
    /*constexpr*/ auto impl = FIX([](auto&& self, i64 aa, i64 bb) -> tuple<i64,i64,i64> {
        if(bb == 0) return make_tuple(aa, 1, 0);
        i64 g,x,y; tie(g,x,y) = self(bb, aa%bb);
        return make_tuple(g, y, x-(aa/bb)*y);
    });
    i64 g,x,y; tie(g,x,y) = impl(ABS(a), ABS(b));
    x *= SGN(a);
    y *= SGN(b);
    return make_tuple(g, x, y);
}
// }}}

// string {{{
auto str_reserve(i64 cap) {
    string res;
    res.reserve(cap);
    return res;
}
// }}}

// input {{{
template<typename T, typename Enable=void>
struct Scan {
    static T scan(istream& in) {
        T res;
        in >> res;
        return res;
    }
};

template<typename T, typename Enable=void>
struct Scan1;

template<typename T>
struct Scan1<T,enable_if_t<is_integral<T>::value && !is_same<T,bool>::value>> {
    static T scan1(istream& in) {
        return Scan<T>::scan(in) - 1;
    }
};

template<typename T1, typename T2>
struct Scan<pair<T1,T2>> {
    static pair<T1,T2> scan(istream& in) {
        T1 x = Scan<T1>::scan(in);
        T2 y = Scan<T2>::scan(in);
        return {x,y};
    }
};

template<typename T1, typename T2>
struct Scan1<pair<T1,T2>> {
    static pair<T1,T2> scan1(istream& in) {
        T1 x = Scan1<T1>::scan1(in);
        T2 y = Scan1<T2>::scan1(in);
        return {x,y};
    }
};

template<typename T>
tuple<T> tuple_scan_impl(istream& in) {
    return make_tuple(Scan<T>::scan(in));
}

template<typename T, typename... TS, SFINAE(sizeof...(TS) > 0)>
tuple<T,TS...> tuple_scan_impl(istream& in) {
    auto head = make_tuple(Scan<T>::scan(in));
    return tuple_cat(head, tuple_scan_impl<TS...>(in));
}

template<typename... TS>
struct Scan<tuple<TS...>> {
    static tuple<TS...> scan(istream& in) {
        return tuple_scan_impl<TS...>(in);
    }
};

template<typename T>
tuple<T> tuple_scan1_impl(istream& in) {
    return make_tuple(Scan1<T>::scan1(in));
}

template<typename T, typename... TS, SFINAE(sizeof...(TS) > 0)>
tuple<T,TS...> tuple_scan1_impl(istream& in) {
    auto head = make_tuple(Scan1<T>::scan1(in));
    return tuple_cat(head, tuple_scan1_impl<TS...>(in));
}

template<typename... TS>
struct Scan1<tuple<TS...>> {
    static tuple<TS...> scan1(istream& in) {
        return tuple_scan1_impl<TS...>(in);
    }
};

template<typename T=i64>
T RD() {
    return Scan<T>::scan(cin);
}

template<typename T=i64>
T RD1() {
    return Scan1<T>::scan1(cin);
}

template<typename T=i64>
auto RD_VEC(i64 n) {
    auto res = vec_reserve<T>(n);
    REP(_, n) {
        res.emplace_back(RD<T>());
    }
    return res;
}

template<typename T=i64>
auto RD1_VEC(i64 n) {
    auto res = vec_reserve<T>(n);
    REP(_, n) {
        res.emplace_back(RD1<T>());
    }
    return res;
}

template<typename T=i64>
auto RD_VEC2(i64 h, i64 w) {
    auto res = vec_reserve<vector<T>>(h);
    REP(_, h) {
        res.emplace_back(RD_VEC<T>(w));
    }
    return res;
}

template<typename T=i64>
auto RD1_VEC2(i64 h, i64 w) {
    auto res = vec_reserve<vector<T>>(h);
    REP(_, h) {
        res.emplace_back(RD1_VEC<T>(w));
    }
    return res;
}
// }}}

// output {{{
template<typename T, typename Enable=void>
struct Fmt {
    static void fmt(ostream& out, const T& x) { out << x; }
};

template<typename T>
void fmt_write(ostream& out, const T& x) {
    Fmt<T>::fmt(out, x);
}

template<typename... TS>
struct Fmt<tuple<TS...>> {
    static void fmt(ostream& out, const tuple<TS...>& t) {
        tuple_enumerate(t, [&out](i64 i, const auto& e) {
            if(i != 0) out << ' ';
            fmt_write(out, e);
        });
    }
};

template<typename T1, typename T2>
struct Fmt<pair<T1,T2>> {
    static void fmt(ostream& out, const pair<T1,T2>& p) {
        return fmt_write(out, make_tuple(p.first,p.second));
    }
};

template<typename C>
struct Fmt<C,enable_if_t<is_container<C>::value>> {
    static void fmt(ostream& out, const C& c) {
        for(auto it = begin(c); it != end(c); ++it) {
            if(it != begin(c)) out << ' ';
            fmt_write(out, *it);
        }
    }
};

void PRINT() {}

template<typename T, typename... TS>
void PRINT(const T& x, const TS&... args) {
    fmt_write(cout, x);
    if(sizeof...(args) > 0) {
        cout << ' ';
        PRINT(args...);
    }
}

template<typename... TS>
void PRINTLN(const TS&... args) {
    PRINT(args...);
    cout << '\n';
}
// }}}

// debug {{{
template<typename T, typename Enable=void>
struct Dbg {
    static void dbg(ostream& out, const T& x) { out << x; }
};

template<typename T>
void dbg_write(ostream& out, const T& x) {
    Dbg<T>::dbg(out, x);
}

template<>
struct Dbg<i64> {
    static void dbg(ostream& out, i64 x) {
        if(x == INF)
            out << "INF";
        else if(x == -INF)
            out << "-INF";
        else
            out << x;
    }
};

template<>
struct Dbg<f64> {
    static void dbg(ostream& out, f64 x) {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wfloat-equal"
        if(x == FINF)
            out << "FINF";
        else if(x == -FINF)
            out << "-FINF";
        else
            out << x;
#pragma GCC diagnostic pop
    }
};

template<typename T, size_t N>
struct Dbg<T[N]> {
    static void dbg(ostream& out, const T (&ary)[N]) {
        out << "[";
        REP(i, N) {
            if(i != 0) out << ",";
            dbg_write(out, ary[i]);
        }
        out << "]";
    }
};

template<size_t N>
struct Dbg<char[N]> {
    static void dbg(ostream& out, const char (&s)[N]) {
        out << s;
    }
};

template<typename... TS>
struct Dbg<tuple<TS...>> {
    static void dbg(ostream& out, const tuple<TS...>& t) {
        out << "(";
        tuple_enumerate(t, [&out](i64 i, const auto& e) {
            if(i != 0) out << ",";
            dbg_write(out, e);
        });
        out << ")";
    }
};

template<typename T1, typename T2>
struct Dbg<pair<T1,T2>> {
    static void dbg(ostream& out, const pair<T1,T2>& p) {
        return dbg_write(out, make_tuple(p.first,p.second));
    }
};

template<typename C>
struct Dbg<C,enable_if_t<is_container<C>::value>> {
    static void dbg(ostream& out, const C& c) {
        out << "[";
        for(auto it = begin(c); it != end(c); ++it) {
            if(it != begin(c)) out << ",";
            dbg_write(out, *it);
        }
        out << "]";
    }
};

template<typename T, typename C>
struct Dbg<stack<T,C>> {
    static void dbg(ostream& out, stack<T,C> stk) {
        out << "[";
        while(!stk.empty()) {
            dbg_write(out,stk.top()); stk.pop();
            if(!stk.empty()) out << ",";
        }
        out << "]";
    }
};

template<typename T, typename C>
struct Dbg<queue<T,C>> {
    static void dbg(ostream& out, queue<T,C> que) {
        out << "[";
        while(!que.empty()) {
            dbg_write(out,que.front()); que.pop();
            if(!que.empty()) out << ",";
        }
        out << "]";
    }
};

template<typename T, typename C, typename Comp>
struct Dbg<priority_queue<T,C,Comp>> {
    static void dbg(ostream& out, priority_queue<T,C,Comp> que) {
        out << "[";
        while(!que.empty()) {
            dbg_write(out,que.top()); que.pop();
            if(!que.empty()) out << ",";
        }
        out << "]";
    }
};

template<typename T>
void DBG_IMPL(i64 line, const char* expr, const T& value) {
    cerr << "[L " << line << "]: ";
    cerr << expr << " = ";
    dbg_write(cerr, value);
    cerr << "\n";
}

void DBG_IMPL_HELPER() {}

template<typename T, typename... TS>
void DBG_IMPL_HELPER(const T& x, const TS&... args) {
    dbg_write(cerr, x);
    if(sizeof...(args) > 0) {
        cerr << ",";
        DBG_IMPL_HELPER(args...);
    }
}

template<typename... TS>
void DBG_IMPL(i64 line, const char* expr, const TS&... value) {
    cerr << "[L " << line << "]: ";
    cerr << "(" << expr << ") = (";
    DBG_IMPL_HELPER(value...);
    cerr << ")\n";
}

template<size_t N, typename T, SFINAE(rank<T>::value == 0)>
void DBG_DP_IMPL_HELPER(ostream& out, const T& x, const array<i64,N>&, const array<i64,N>&) {
    dbg_write(out, x);
}

template<size_t N, typename T, SFINAE(rank<T>::value > 0)>
void DBG_DP_IMPL_HELPER(ostream& out, const T& x, const array<i64,N>& sizes, const array<i64,N>& offs) {
    i64 k   = N - rank<T>::value;
    i64 off = offs[k];
    i64 siz = sizes[k];
    if(siz == 0) siz = extent<T>::value - off;

    out << "[";
    FOR(i, off, off+siz) {
        if(i != off) out << ",";
        DBG_DP_IMPL_HELPER(out, x[i], sizes, offs);
    }
    out << "]";
}

template<typename T, SFINAE(rank<T>::value > 0)>
void DBG_DP_IMPL(i64 line, const char* expr, const T& dp,
                 const array<i64,rank<T>::value>& sizes={},
                 const array<i64,rank<T>::value>& offs={})
{
    cerr << "[L " << line << "]: ";
    cerr << expr << " = ";
    DBG_DP_IMPL_HELPER<rank<T>::value>(cerr, dp, sizes, offs);
    cerr << "\n";
}

template<typename T>
void DBG_GRID_IMPL(i64 line, const char* expr, const vector<T>& grid) {
    cerr << "[L " << line << "]: ";
    cerr << expr << ":\n";
    for(const auto& row : grid) {
        dbg_write(cerr, row);
        cerr << "\n";
    }
    cerr << "\n";
}

#ifdef PROCON_LOCAL
    #define DBG(args...) DBG_IMPL(__LINE__, CPP_STR_I(args), args)
    #define DBG_DP(args...) DBG_DP_IMPL(__LINE__, CPP_STR_I(args), args)
    #define DBG_GRID(args...) DBG_GRID_IMPL(__LINE__, CPP_STR_I(args), args)
#else
    #define DBG(args...)
    #define DBG_DP(args...)
    #define DBG_GRID(args...)
#endif
// }}}

// modint {{{
template<i64 M>
struct ModIntT {
    static_assert(M >= 2, "");
    i64 v_;  // [0,M)

    ModIntT() : v_(0) {}
    ModIntT(i64 v) {
        i64 r = v % M;
        v_ = r >= 0 ? r : r+M;
    }

    ModIntT operator-() const {
        return ModIntT(-v_);
    }
    ModIntT& operator+=(ModIntT rhs) {
        v_ += rhs.v_;
        v_ %= M;
        return *this;
    }
    ModIntT& operator-=(ModIntT rhs) {
        v_ += M;
        v_ -= rhs.v_;
        v_ %= M;
        return *this;
    }
    ModIntT& operator*=(ModIntT rhs) {
        v_ *= rhs.v_;
        v_ %= M;
        return *this;
    }

    ModIntT& operator++() {
        return *this += 1;
    }
    ModIntT& operator--() {
        return *this -= 1;
    }
    ModIntT operator++(int) {
        return exchange(*this, *this+1);
    }
    ModIntT operator--(int) {
        return exchange(*this, *this-1);
    }

    explicit operator i64() const { return v_; }

    ModIntT inv() const {
        i64 g,x; tie(g,x,ignore) = EXTGCD(v_, M);
        ASSERT(g == 1);
        return ModIntT(x);
    }
};

template<i64 M>
ModIntT<M> operator+(ModIntT<M> lhs, ModIntT<M> rhs) { return ModIntT<M>(lhs) += rhs; }
template<i64 M>
ModIntT<M> operator+(ModIntT<M> lhs, i64 rhs) { return ModIntT<M>(lhs) += rhs; }
template<i64 M>
ModIntT<M> operator+(i64 lhs, ModIntT<M> rhs) { return ModIntT<M>(rhs) += lhs; }
template<i64 M>
ModIntT<M> operator-(ModIntT<M> lhs, ModIntT<M> rhs) { return ModIntT<M>(lhs) -= rhs; }
template<i64 M>
ModIntT<M> operator-(ModIntT<M> lhs, i64 rhs) { return ModIntT<M>(lhs) -= rhs; }
template<i64 M>
ModIntT<M> operator-(i64 lhs, ModIntT<M> rhs) { return ModIntT<M>(rhs) -= lhs; }
template<i64 M>
ModIntT<M> operator*(ModIntT<M> lhs, ModIntT<M> rhs) { return ModIntT<M>(lhs) *= rhs; }
template<i64 M>
ModIntT<M> operator*(ModIntT<M> lhs, i64 rhs) { return ModIntT<M>(lhs) *= rhs; }
template<i64 M>
ModIntT<M> operator*(i64 lhs, ModIntT<M> rhs) { return ModIntT<M>(rhs) *= lhs; }

template<i64 M>
bool operator==(ModIntT<M> lhs, ModIntT<M> rhs) { return lhs.v_ == rhs.v_; }
template<i64 M>
bool operator==(ModIntT<M> lhs, i64 rhs) { return lhs == ModIntT<M>(rhs); }
template<i64 M>
bool operator==(i64 lhs, ModIntT<M> rhs) { return ModIntT<M>(lhs) == rhs; }
template<i64 M>
bool operator!=(ModIntT<M> lhs, ModIntT<M> rhs) { return !(lhs == rhs); }
template<i64 M>
bool operator!=(ModIntT<M> lhs, i64 rhs) { return !(lhs == rhs); }
template<i64 M>
bool operator!=(i64 lhs, ModIntT<M> rhs) { return !(lhs == rhs); }

template<i64 M>
struct Scan<ModIntT<M>> {
    static ModIntT<M> scan(istream& in) {
        return Scan<i64>::scan(in);
    }
};

template<i64 M>
struct Fmt<ModIntT<M>> {
    static void fmt(ostream& out, ModIntT<M> x) {
        fmt_write(out, x.v_);
    }
};

template<i64 M>
struct Dbg<ModIntT<M>> {
    static void dbg(ostream& out, ModIntT<M> x) {
        dbg_write(out, x.v_);
    }
};

using ModInt = ModIntT<MOD>;
// }}}
// }}}

// init {{{
struct ProconInit {
    static constexpr int IOS_PREC = 15;
    static constexpr bool AUTOFLUSH = false;

    ProconInit() {
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cin.exceptions(ios::failbit | ios::badbit);
        cout << fixed << setprecision(IOS_PREC);
#ifdef PROCON_LOCAL
        cerr << fixed << setprecision(2);
#endif
        if(AUTOFLUSH)
            cout << unitbuf;
    }
} PROCON_INIT;
// }}}

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

i64 tree_diameter(const vector<vector<i64>>& g) {
    auto dfs = FIX([&g](auto&& self, i64 v, i64 parent) -> pair<i64,i64> {
        pair<i64,i64> res{0,v};

        for(i64 to : g[v]) {
            if(to == parent) continue;
            auto p = self(to,v);
            chmax(res, make_pair(p.first+1,p.second));
        }

        return res;
    });

    auto p1 = dfs(0,-1);
    auto p2 = dfs(p1.second,-1);

    return p2.first;
}

void solve() {
    i64 N = RD();

    vector<vector<i64>> G(N);
    REP(_, N-1) {
        i64 a = RD1();
        i64 b = RD1();
        G[a].emplace_back(b);
        G[b].emplace_back(a);
    }
    DBG(G);

    i64 d = tree_diameter(G);
    DBG(d);

    bool ans = d%3 != 1;

    PRINTLN(ans ? "First" : "Second");
}

signed main() {
    

    solve();

    return 0;
}