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: Accepted)

import java.util.ArrayList;
import java.util.Scanner;

class Main{

	static int N;
	static int M;
	static 		ArrayList<ArrayList<Integer>> map;
	static boolean[] used;
	static int f = 0;
	static int s = 0;

	static int mindis = 1000000000;
	static ArrayList<Integer> saitan;




	public static void main(String[] args) {


		Scanner sc = new Scanner(System.in);			//文字の入力
		N = sc.nextInt();
		long sum = 0;

		map = new ArrayList<ArrayList<Integer>>();
		for(int i = 0;i <= N;i++){								//初期値入力
			ArrayList<Integer> x = new ArrayList<Integer>();
			x.add(0);
			map.add(x);
		}

		for(int i = 0;i < N-1;i++){							//mapの作成
			int a = sc.nextInt();
			int b = sc.nextInt();
			map.get(a).add(b);
			map.get(b).add(a);
		}
		
		int[] dataf = new int[N+1];
		dataf	= dfs(1,-1,dataf);
		int[] datas = new int[N+1];
		datas	= dfs(N,-1,datas);

		int a = 0;
		int b= 0;
		
		for(int i= 1;i < N+1;i++){				//距離が近い方が結局は近い方の色になるので、それぞれの辺についてどちらが近いかみる
			if(dataf[i] <= datas[i]){
				a++;

			}else{
				b++;
			}

		}
		if(a > b){
			System.out.println("Fennec");
		}else{
			System.out.println("Snuke");
		}

	}

	static int[] dfs(int p,int back, int[] data){				//始点からそれぞれの辺までの距離を求める
		//pは現在地、backは一個前の場所
		
		ArrayList<Integer> edge = map.get(p);				//辺のリスト
		for(int v : edge){
			if(v != back){									//一個前と今の辺は繋がっているので無限ループに入るのを防ぐ
				data[v] = data[p] + 1;
				dfs(v, p, data);
			}

		}
		return data;

	}





}