Problem:
Score : 500 points

Problem Statement

There is a string s of length 3 or greater.
No two neighboring characters in s are equal.

Takahashi and Aoki will play a game against each other.
The two players alternately performs the following operation, Takahashi going first:

Remove one of the characters in s, excluding both ends. However, a character cannot be removed if removal of the character would result in two neighboring equal characters in s.

The player who becomes unable to perform the operation, loses the game. Determine which player will win when the two play optimally.

Constraints

3 ≤ |s| ≤ 10^5

s consists of lowercase English letters.

No two neighboring characters in s are equal.

Input

The input is given from Standard Input in the following format:

s

Output

If Takahashi will win, print First. If Aoki will win, print Second.

Sample Input 1

aba

Sample Output 1

Second

Takahashi, who goes first, cannot perform the operation, since removal of the b, which is the only character not at either ends of s, would result in s becoming aa, with two as neighboring.

Sample Input 2

abc

Sample Output 2

First

When Takahashi removes b from s, it becomes ac.
Then, Aoki cannot perform the operation, since there is no character in s, excluding both ends.

Sample Input 3

abcab

Sample Output 3

First

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.io.*;
import java.util.*;
import java.util.Map.Entry;

public class Main {
	
	final boolean isDebug = false;
	String fileName = "input.txt";
	FastScanner sc;
	PrintWriter out;
	final int MOD = (int)1e9+7;
	final int INF = Integer.MAX_VALUE / 2;
	
	void solve() throws Exception{
		String s = sc.next();
		if(s.charAt(0) == s.charAt(s.length()-1)){
			int numA = 0;
			int numE = 0;
			for(int i = 0; i < s.length(); i++) if(s.charAt(i) == s.charAt(0)) numA++; else numE++;
			System.out.println(((numE - (numA - 1)) % 2 == 1) ? "First" : "Second");
		}else{
			if(s.length() == 3) System.out.println("First");
			else System.out.println(((s.length() - 4) % 2 == 1) ? "First" : "Second");
		}
	}
	
	/* end solve */
	
	/* main */
	public static void main(String[] args) throws Exception {
		new Main().m();
	}
	
	void m() throws Exception {
		long S = System.currentTimeMillis();
		sc = (isDebug) ? new FastScanner(new FileInputStream(fileName)) : new FastScanner(System.in);
		out = new PrintWriter(System.out);
		solve();
		out.flush();
		long G = System.currentTimeMillis();
		if(isDebug){
			System.out.println("---Debug---");
			System.out.printf("%8d ms", (G-S));
		}
	}
	/* end main */
}
/* end Main */

class UnionFind{
	int[] par;
	int[] rank;
	int[] size;
	//親ノードとの重さの差分
	int[] diffWeight;
	int group;
	
	UnionFind(int n){
		par = new int[n];
		rank = new int[n];
		size = new int[n];
		diffWeight = new int[n];
		group = n;
		for(int i = 0; i < n; i++){
			par[i] = i;
			rank[i] = 0;
			size[i] = 1;
			diffWeight[i] = 0;
		}
	}
	
	//経路圧縮しながらrootを求める
	int find(int x){
		if(par[x] == x){
			return x;
		}else{
			int f = find(par[x]);
			//累積和を計算する
			diffWeight[x] += diffWeight[par[x]];
			return par[x] = f;
		}
	}
	
	int weight(int x){
		find(x);
		return diffWeight[x];
	}
	
	//xのほうがrootに近ければ(ポテンシャルが低ければ)値は正になる
	int diff(int x, int y){
		return weight(y) - weight(x);
	}
	
	//ランクの小さいほうにつなげる
	boolean union(int x, int y, int w){
		w += weight(x);
		w -= weight(y);
		x = find(x);
		y = find(y);
		if(x == y) return false;
		
		if(rank[x] < rank[y]){
			int tmp = x; x = y; y = tmp;
			w = -w;
		}
		
		//y(のroot)をx(のroot)の下にくっつける
		//yのほうが重くなる(ポテンシャルが高くなる)
		if(rank[x] == rank[y]) rank[x]++;
		group--;
		par[y] = x;
		size[x] += size[y];
		diffWeight[y] = w;
		
		return true;
	}
	
	boolean union(int x, int y){
		return union(x, y, 0);
	}
	
	boolean isSame(int x, int y){
		return find(x) == find(y);
	}
}

class Edge implements Comparable<Edge>{
	int from;
	int to;
	int cost;
	public Edge(int f, int t, int c){
		from = f;
		to = t;
		cost = c;
	}
	@Override
	public int compareTo(Edge o) {
		if(this.cost == o.cost) return 0;
		else{
			return (this.cost < o.cost) ? -1 : 1;
		}
	}
}

class FastScanner {
    private InputStream in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    public FastScanner(InputStream in) {
		this.in = in;
	}
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
    private int readByte() {
    	if (hasNextByte()) return buffer[ptr++];
    	else return -1;
    }
    private static boolean isPrintableChar(int c){
    	return 33 <= c && c <= 126;
    }
    public boolean hasNext() {
    	while(hasNextByte() && !isPrintableChar(buffer[ptr]))
    		ptr++; return hasNextByte();
    }
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while(isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while(true){
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            }else if(b == -1 || !isPrintableChar(b)){
                return minus ? -n : n;
            }else{
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
    public int nextInt() {
        long nl = nextLong();
        if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
        return (int) nl;
    }
    public double nextDouble() {
    	return Double.parseDouble(next());
    }
}