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: Time Limit Exceeded)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Comparator;

public class Main {
	final int _intMax = Integer.MAX_VALUE; //=2147483647>10^9
	final int _intMin = Integer.MIN_VALUE;
	final long _longMax = Long.MAX_VALUE; //=9223372036854775807L>10^18
	final long _longMin = Long.MIN_VALUE;
	static boolean bElapsed = false;

	void solve() {
		String line = readLine();
		int cnt = 0;
		for (int i=0; i+2<line.length(); i++) {
			//pln(i+" "+line);
			char ch = line.charAt(i);
			char ch2 = line.charAt(i+2);
			if (ch != ch2) {
				//pln(i+" "+line);
				line = line.substring(0, i+1) + line.substring(i+2);
				cnt++;
				i = Math.max(-1, i-2);
			}
		}
		pln(cnt%2==1 ? "First" : "Second");
	}

	class RMQ {
		int n;
		int[] element;
		public RMQ(int n) {
			n = (int)ceil2pow(n);
			this.n = n;
			element = new int[2*n-1];
			Arrays.fill(element, _intMax);
		}
		public void update(int k, int a) {
			k += n-1;
			element[k] = a;
			while (k > 0) {
				k = (k-1)/2;
				element[k] = Math.min(element[2*k+1], element[2*k+2]);
			}
		}
		public int query(int a, int b) {
			if (a == b) return element[a+n-1];
			return query(a, b+1, 0, 0, n);
		}
		private int query(int a, int b, int k, int l, int r) {
			if (r <= a || b <= l) return _intMax;
			if (a <= l && r <= b) return element[k];
			int vl = query(a, b, 2*k+1, l, (l+r)/2);
			int vr = query(a, b, 2*k+2, (l+r)/2, r);
			return Math.min(vl, vr);
		}
		public void print() {
			for (int i=0; i<element.length; i++) {
				String v = element[i] != _intMax ? ""+element[i] : "-";
				p(v+" ");
			}
			pln("");
		}
	}
	class RMQIndex {
		int n;
		int[] element;
		int[] index;
		public RMQIndex(int n) {
			n = (int)ceil2pow(n);
			this.n = n;
			element = new int[2*n-1];
			index = new int[2*n-1];
			Arrays.fill(element, _intMax);
			for (int i=0; i<n; i++) {
				index[n-1+i] = i;
			}
			for (int i=n-1-1; i>=0; i--) {
				index[i] = index[2*i+1];
			}
		}
		public void update(int k, int a) {
			k += n-1;
			element[k] = a;
			while (k > 0) {
				k = (k-1)/2;
				if (element[2*k+1] <= element[2*k+2]) {
					element[k] = element[2*k+1];
					index[k] = index[2*k+1];
				} else {
					element[k] = element[2*k+2];
					index[k] = index[2*k+2];
				}
			}
		}
		public int[] query(int a, int b) {
			if (a == b) return new int[] { element[a+n-1], index[a+n-1] };
			return query(a, b+1, 0, 0, n);
		}
		private int[] query(int a, int b, int k, int l, int r) {
			if (r <= a || b <= l) return new int[] { _intMax, 0 };
			if (a <= l && r <= b) return new int[] { element[k], index[k] };
			int[] vl = query(a, b, 2*k+1, l, (l+r)/2);
			int[] vr = query(a, b, 2*k+2, (l+r)/2, r);
			if (vl[0] <= vr[0]) {
				return new int[] { vl[0], vl[1] };
			} else {
				return new int[] { vr[0], vr[1] };
			}
		}
		public void print() {
			p("dat:");
			for (int i=0; i<element.length; i++) {
				String v = element[i] != _intMax ? ""+element[i] : "-";
				p(v+" ");
			}
			pln("");
			p("idx:");
			for (int i=0; i<index.length; i++) {
				p(index[i]+" ");
			}
			pln("");
		}
	}
	class UnionFind {
		int[] uf;
		public UnionFind(int n) {
			uf = new int[n];
			for (int i=0; i<n; i++) {
				uf[i] = i;
			}
		}
		public int root(int v) {
			if (uf[v] == v) return v;
			uf[v] = root(uf[v]);
			return uf[v];
		}
		public void merge(int u, int v) {
			u = root(u);
			v = root(v);
			if (u == v) return;
			uf[v] = u;
		}
		public boolean same(int u, int v) {
			return root(u) == root(v);
		}
		public void print() {
			for (int i=0; i<uf.length; i++) {
				p(uf[i]+" ");
			}
			pln("");
		}
	}
	class Pair {
		String a;
		String b;
		public Pair(String a, String b) {
			this.a = a;
			this.b = b;
		}
		public Pair(Pair pr) {
			this.a = pr.a;
			this.b = pr.b;
		}
		public boolean equals(Object o) {
			if (o instanceof Pair) {
				Pair that = (Pair)o;
				return (a.equals(that.a)) && (b.equals(that.b));
			}
			return false;
		}
		public int hashCode() {
			return a.hashCode() + (b.hashCode() * 31);
		}
		public String toString() {
			return "(" + a + ", " + b + ")";
		}
	}
	class Point {
		int x;
		int y;
		public Point(int x, int y) {
			this.x = x;
			this.y = y;
		}
		public Point(Point pt) {
			this.x = pt.x;
			this.y = pt.y;
		}
		public boolean equals(Object o) {
			if (o instanceof Point) {
				Point that = (Point)o;
				return (x == that.x) && (y == that.y);
			}
			return false;
		}
		public int hashCode() {
			return x + (y * 31);
		}
		public String toString() {
			return "(" + x + ", " + y + ")";
		}
	}
	class Info implements Comparable<Info> {
		int idx;
		int val;
		public Info(int idx, int val) {
			this.idx = idx;
			this.val = val;
		}
		public int compareTo(Info o) {
			if (idx < o.idx) return -1;
			else if (idx > o.idx) return 1;
			return 0;
		}
		public boolean equals(Object o) {
			if (o instanceof Info) {
				Info that = (Info)o;
				return 0 == compareTo(that);
			}
			return false;
		}
		public int hashCode() {
			return idx + (val * 31);
		}
		public String toString() {
			return "(" + idx + ", " + val + ")";
		}
	}
	class InfoComp implements Comparator<Info> {
		public int compare(Info o1, Info o2) {
			if (o1.val < o2.val) return -1;
			else if (o1.val > o2.val) return 1;
			return 0;
		}
	}
	long ceil2pow(long n) {
		if (n == 0) return 1;
		n--;
		n |= (n >>> 1);
		n |= (n >>> 2);
		n |= (n >>> 4);
		n |= (n >>> 8);
		n |= (n >>> 16);
		n++;
		return n;
		/*
		long pow = 1;
		while (pow < n) pow <<= 1;
		return pow;
		*/
	}
	int gcd(int a, int b) {
		if (a < b) return gcd(b, a);
		if (b == 0) return a;
		return gcd(b, a % b);
	}
	long sqrt(long n) {
		return (long)Math.sqrt(n);
	}
	long pow(long n, long p) {
		return (long)Math.pow(n, p);
	}
	long pow_mod(long n, long p, long m) {
		if (p == 0) return 1;
		else if (p % 2 == 1) return pow_mod(n, p-1, m) * n % m;
		long sum = pow_mod(n, p/2, m);
		return sum * sum % m;
	}
	int pint(String s) {
		return Integer.parseInt(s);
	}
	long plong(String s) {
		return Long.parseLong(s);
	}
	String readLine() {
		try {
			return _in.readLine();
		} catch (IOException e) {
			throw new RuntimeException(e);
		}
	}
	int readNum() {
		String line = readLine();
		return pint(line);
	}
	String[] readFlds() {
		String line = readLine();
		return line.split(" ");
	}
	int[] readNums() {
		String[] flds = readFlds();
		int[] nums = new int[flds.length];
		for (int i=0; i<flds.length; i++) {
			nums[i] = pint(flds[i]);
		}
		return nums;
	}
	void p(char c) {
		_out.print(c);
	}
	void pln(char c) {
		_out.println(c);
	}
	void p(double d) {
		_out.print(d);
	}
	void pln(double d) {
		_out.println(d);
	}
	void p(long l) {
		_out.print(l);
	}
	void pln(long l) {
		_out.println(l);
	}
	void p(String s) {
		_out.print(s);
	}
	void pln(String s) {
		_out.println(s);
	}
	static BufferedReader _in;
	static PrintWriter _out;
	public static void main(String[] args) {
		long start = System.currentTimeMillis();
		_in = new BufferedReader(new InputStreamReader(System.in));
		_out = new PrintWriter(System.out);
		new Main().solve();
		_out.flush();
		long end = System.currentTimeMillis();
		if (bElapsed) {
			System.err.println((end-start) + "ms");
		}
	}
}