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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.*;
import java.math.*;
import java.io.*;
import java.text.*;

public class Main{
static class Node implements Comparable<Node>{
	int id;
	long d;
	public Node(int id,long d) {
		this.id=id;
		this.d=d;
	}
	public int compareTo(Node c) {
		return Long.compare(this.d, c.d);
	}
}
//public static PrintWriter pw; 	
public static PrintWriter pw=new PrintWriter(System.out);
public static void solve() throws IOException{
//	pw=new PrintWriter(new FileWriter("C:\\Users\\shree\\Downloads\\small_output_in"));
	FastReader sc=new FastReader();
	int n=sc.I();
	graph=new Vector[n+1];
	for(int i=1;i<=n;i++)graph[i]=new Vector<>();
	for(int i=1;i<n;i++) {
		int x=sc.I(); int y=sc.I(); 
		graph[x].add(y);
		graph[y].add(x);
		
	}
	a=new int[n+1];
	b=new int[n+1];
	color=new int[n+1];
	dfs(1,-1,a);
	cc=1;
	dfs(n,-1,b);
	dfs3(1,-1);
	dfs4(n,-1);
	dfs2(1,-1);
	if(ans==1) pw.println("Fennec"); else pw.println("Snuke");

	pw.close(); 
	
	
}
static Vector<Integer> graph[];
static  int a[];
static int b[];
static int color[];
static int cc=1;
static int ans=0;
static void dfs(int v,int pr , int a[]) {
	a[v]=cc++;
	for(int u: graph[v]) {
		if(u!=pr) dfs(u,v,a);
	}
}
static void dfs2(int v,int pr) {
	for(int u : graph[v]) {
		if(u!=pr) {
			if(color[u]!=color[v]) {
				if(color[u]==1) {
					if(a[u]>=b[v]) ans=2; else ans=1;
				}else {
					if(a[v]>=b[u]) ans=2; else ans=1;
				}
			}
			dfs2(u,v);
		}
	}
}
static void dfs3(int v,int pr) {
	if(a[v]<=b[v])
	color[v]=1;
	else return;
	for(int u : graph[v]) {
		if(u!=pr) {
			dfs3(u,v);
		}
	}
}
static void dfs4(int v,int pr) {
	if(b[v]<a[v] || color[v]==0) color[v]=2;
	else return;
	for(int u : graph[v]) {
		if(u!=pr) dfs4(u,v);
	}
}
public static void main(String[] args)  {
    new Thread(null ,new Runnable(){
      public void run(){
          try{
          
              solve();
          } catch(Exception e){
              e.printStackTrace();
          }
      }
  },"1",1<<26).start();
 
}

static long M=(long)Math.pow(10,9)+7;
 
	static class FastReader {
        BufferedReader br;
        StringTokenizer st;
 
        public FastReader() throws FileNotFoundException{
            //br=new BufferedReader(new FileReader("C:\\Users\\shree\\Downloads\\B-small-practice.in"));	
        	 br = new BufferedReader(new InputStreamReader(System.in));
        		
        }
 
        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException  e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }
       
        int I(){   return Integer.parseInt(next()); }
        long L(){  return Long.parseLong(next()); }
        double D() {  return Double.parseDouble(next()); }
        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            }
            catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
     }
}