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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using static System.Console;
using static System.Convert;
using static System.Math;
//using static System.Globalization.CultureInfo;

class Program
{
    static void Main(string[] args)
    {
        var num = Input.num;
        var ps = P.Make(num, num - 1, isWeighted: false);
        var ar = new[] { 0, num - 1 };
        var wei = new long[2][];
        for(var i = 0; i < 2; i++)
        {
            var queue = new Queue<int>();
            for (var j = 0; j < num; j++)
                ps[j].Weight = 0;
            queue.Enqueue(ar[i]);
            var bo = new bool[num];bo[ar[i]] = true;
            while (queue.Count != 0)
            {
                var p = queue.Dequeue();
                foreach (var ad in ps[p].adj)
                    if (!bo[ad])
                    {
                        bo[ad] = true;
                        ps[ad].Weight = ps[p].Weight + 1;
                        queue.Enqueue(ad);
                    }
            }
            wei[i] = ps.Select(v => v.Weight).ToArray();
        }
        var fct = 0;
        var sct = 0;
        for (var i = 0; i < num; i++)
            if (wei[0][i] <= wei[1][i]) fct++;
            else sct++;
        WriteLine(fct <= sct ? "Snuke" : "Fennec");
    }
}

public class Input
{
    public static string read => ReadLine();
    public  static int[] ar => Array.ConvertAll(read.Split(' '), int.Parse);
    public  static int num => ToInt32(read);
    public static long[] arL => Array.ConvertAll(read.Split(' '), long.Parse);
    public  static long numL => ToInt64(read);
    public static int[][] twodim(int num)
        => Enumerable.Repeat(0, num).Select(v => ar).ToArray();
    public static long[][] twodimL(int num)
        => Enumerable.Repeat(0, num).Select(v => arL).ToArray();
    public const double eps = 1e-11;
    public  const string Alfa = "abcdefghijklmnopqrstuvwxyz";
    public  const int MOD = 1000000007;
}

public class P : IComparable<P>
{
    public int index;
    public List<int> adj;
    public Dictionary<int, int> dist;
    public long Weight;
    public P(int index)
    {
        this.index = index;
        adj = new List<int>();
        dist = new Dictionary<int, int>();
        Weight = long.MaxValue;
    }
    public static P[] Make(int num, int edge, bool isNotDirection = true, bool isWeighted = true)
    {
        var ps = Enumerable.Range(0, num).Select(v => new P(v)).ToArray();
        for (var i = 0; i < edge; i++)
        {
            var inp = Input.ar;
            inp[0]--;
            inp[1]--;
            for (var j = 0; j <= ToInt32(isNotDirection); j++)
            {
                ps[inp[j]].adj.Add(inp[1 - j]);
                if(isWeighted)
                ps[inp[j]].dist[inp[1 - j]] = inp[2];
            }
        }
        return ps;
    }
    public override string ToString()
        => $"{index + 1} {Weight}";
    public override int GetHashCode()
        => index.GetHashCode();
    public int CompareTo(P p)
        => Weight.CompareTo(p.Weight);
}