Problem:
Score : 400 points

Problem Statement

Fennec and Snuke are playing a board game.

On the board, there are N cells numbered 1 through N, and N-1 roads, each connecting two cells. Cell a_i is adjacent to Cell b_i through the i-th road. Every cell can be reached from every other cell by repeatedly traveling to an adjacent cell. In terms of graph theory, the graph formed by the cells and the roads is a tree.

Initially, Cell 1 is painted black, and Cell N is painted white. The other cells are not yet colored.
Fennec (who goes first) and Snuke (who goes second) alternately paint an uncolored cell.
More specifically, each player performs the following action in her/his turn:

Fennec: selects an uncolored cell that is adjacent to a black cell, and paints it black.

Snuke: selects an uncolored cell that is adjacent to a white cell, and paints it white.

A player loses when she/he cannot paint a cell. Determine the winner of the game when Fennec and Snuke play optimally.

Constraints

2 \leq N \leq 10^5

1 \leq a_i, b_i \leq N

The given graph is a tree.

Input

Input is given from Standard Input in the following format:

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

Output

If Fennec wins, print Fennec; if Snuke wins, print Snuke.

Sample Input 1

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

Sample Output 1

Fennec

For example, if Fennec first paints Cell 2 black, she will win regardless of Snuke's moves.

Sample Input 2

4
1 4
4 2
2 3

Sample Output 2

Snuke

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

#include <vector>
#include <map>
#include <iterator>
#include <array>
#include <functional>
#include <cstdio>
#include <utility>
template<typename T> struct ScanfSpecifier{};
#define DEF(T,V) template<> struct ScanfSpecifier<T>{static constexpr const char* value = V;};
DEF(char*,"%s")DEF(int,"%d")DEF(double,"%lf")DEF(float,"%f")DEF(char,"%c")DEF(const char*,"%s")DEF(unsigned long,"%lu")DEF(unsigned int, "%u")
#ifdef _MSC_VER
DEF(long long int,"%I64d")
#else
DEF(long long int,"%lld")
#endif
#undef DEF
template<typename T> int RD(T& arg){return std::scanf(ScanfSpecifier<T>::value, &arg);}
template<int S> int RD(char (&arg)[S]){return std::scanf("%s", arg);}
int RD(char* arg){return std::scanf("%s", arg);}
template<> int RD<char>(char& arg){return std::scanf(" %c", &arg);}
template<typename T, typename... Args> int RD(T& arg1, Args&... args) {return RD(arg1) + RD(args...);}
template<typename T> T RD(){T ret; RD(ret); return ret;}
template<typename It> void RDV(It begin, It end) { while(begin != end) RD(*begin++); }
template<typename C> void RDV(C& c) {RDV(std::begin(c), std::end(c));}
template<typename T> void WT(T arg) {std::printf(ScanfSpecifier<T>::value, arg); }
template<typename T, typename U> void WT(std::pair<T, U> arg) {std::printf("("); WT(arg.first); std::printf(", "); WT(arg.second); std::printf(")");}
template<typename... Args> void WT(Args... args) { int alc = 0; int dummy[] = {((alc++? std::printf(" "): 0), WT(args), 0)...}; }

template<typename... Args> void WTL(Args... args) { WT(args...); std::printf("\n"); }
template<typename It> void WTV(It begin, It end) { int alc = 0; while(begin != end) (alc++? std::printf(" "): 0), WT(*begin++); }
template<typename C> void WTV(const C& c) {WTV(std::begin(c), std::end(c));}
template<typename It> void WTVL(It begin, It end) { WTV(begin, end); std::printf("\n"); }
template<typename C> void WTVL(const C& c) {WTVL(std::begin(c), std::end(c));}

#define _M_VARGS_NUM_IMPL(_1, _2, _3, _4, _5, _6, _7, _8, _9, _10, N, ...) N
#define _M_VARGS_NUM(...) _M_VARGS_NUM_IMPL(__VA_ARGS__, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1)
#define _W1(_1) (#_1[0] == '"' || #_1[0] == '\''? WT("", _1, ""): WT('[', #_1, '=', _1, ']'))
#define _W2(_1, _2) (_W1(_1), _W1(_2))
#define _W3(_1, _2, _3) (_W1(_1), _W2(_2, _3))
#define _W4(_1, _2, _3, _4) (_W1(_1), _W3(_2, _3, _4))
#define _W5(_1, _2, _3, _4, _5) (_W1(_1), _W4(_2, _3, _4, _5))
#define _W6(_1, _2, _3, _4, _5, _6) (_W1(_1), _W5(_2, _3, _4, _5, _6))
#define _W7(_1, _2, _3, _4, _5, _6, _7) (_W1(_1), _W6(_2, _3, _4, _5, _6, _7))
#define _W8(_1, _2, _3, _4, _5, _6, _7, _8) (_W1(_1), _W7(_2, _3, _4, _5, _6, _7, _8))
#define _WW_IMPL2(num, ...) _W ## num(__VA_ARGS__)
#define _WW_IMPL(num, ...) _WW_IMPL2(num, __VA_ARGS__)
#define WW(...) (std::printf("(%03d) ", __LINE__), _WW_IMPL(_M_VARGS_NUM(__VA_ARGS__), __VA_ARGS__), WTL(""))




struct Range
{   
    struct It {   int num, step; int operator*(){return num;} void operator++(){num += step;} bool operator!=(const It& other){return num != other.num;} };
    Range(int ee):b(0),e(ee){}
    Range(int bb, int ee):b(bb), e(ee){}
    It begin(){return {b, (b < e? 1: -1)};}
    It end(){return {e, 0};}
    int b, e;
};

template<typename T> inline T& UMAX(T& x, T y){if(x < y)x = y; return x;}
template<typename T> inline T& UMIN(T& x, T y){if(y < x)x = y; return x;}
template<typename T, typename... Args> struct ArithmiticPromotion { typedef decltype(T() + typename ArithmiticPromotion<Args...>::type()) type; };
template<typename T, typename U> struct ArithmiticPromotion<T, U> { typedef decltype(T() + U()) type; };
template<typename T> struct ArithmiticPromotion<T, T> { typedef T type; };
template<typename T> struct ArithmiticPromotion<T> { typedef T type; };
template<typename T, typename U> typename ArithmiticPromotion<T, U>::type MAX(T a, U b) { return a < b? b: a; }
template<typename T, typename... Args> typename ArithmiticPromotion<T, Args...>::type MAX(T a, Args... args) { return MAX(a, MAX(args...)); }
template<typename T, typename U> typename ArithmiticPromotion<T, U>::type MIN(T a, U b) { return a < b? a: b; }
template<typename T, typename... Args> typename ArithmiticPromotion<T, Args...>::type MIN(T a, Args... args) { return MIN(a, MIN(args...)); }





//alias
using RG = Range;
//RD[L],RDV[L],WT[L],WTV[L] for i/o
//template
#include <vector>
#include <queue>
#include <string>
#include <cstring>
#include <set>
#include <map>
#include <cstdlib>
#include <algorithm>
#include <functional>
using namespace std;

typedef long long int ll;

const int SIZE = 100009;

vector<int> adj[SIZE];
int N;

int ans[2] = {};
int pass[SIZE];

int main()
{
    RD(N);
    for(int i: RG(N - 1))
    {
        int u, v;
        RD(u, v);
        u--, v--;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }

    memset(pass, -1, sizeof(pass));
    
    pass[0] = 0;
    pass[N - 1] = 1;
    
    queue<int> que;
    que.push(0);
    que.push(N - 1);
    while(que.size())
    {
        int u = que.front();
        que.pop();
        ans[pass[u]]++;
        for(int to: adj[u])
            if(pass[to] == -1)
            {
                pass[to] = pass[u];
                que.push(to);
            }
    }

    WTL(ans[0], ans[1]);
    if(ans[0] > ans[1])
        WTL("Fennec");
    else
        WTL("Snuke");

}