Problem:
Score : 100 points

Problem Statement

There is a set A = \{ a_1, a_2, \ldots, a_N \} consisting of N positive integers.
Taro and Jiro will play the following game against each other.

Initially, we have a pile consisting of K stones.
The two players perform the following operation alternately, starting from Taro:

Choose an element x in A, and remove exactly x stones from the pile.

A player loses when he becomes unable to play.
Assuming that both players play optimally, determine the winner.

Constraints

All values in input are integers.

1 \leq N \leq 100

1 \leq K \leq 10^5

1 \leq a_1 < a_2 < \cdots < a_N \leq K

Input

Input is given from Standard Input in the following format:

N K
a_1 a_2 \ldots a_N

Output

If Taro will win, print First; if Jiro will win, print Second.

Sample Input 1

2 4
2 3

Sample Output 1

First

If Taro removes three stones, Jiro cannot make a move.
Thus, Taro wins.

Sample Input 2

2 5
2 3

Sample Output 2

Second

Whatever Taro does in his operation, Jiro wins, as follows:

If Taro removes two stones, Jiro can remove three stones to make Taro unable to make a move.

If Taro removes three stones, Jiro can remove two stones to make Taro unable to make a move.

Sample Input 3

2 7
2 3

Sample Output 3

First

Taro should remove two stones. Then, whatever Jiro does in his operation, Taro wins, as follows:

If Jiro removes two stones, Taro can remove three stones to make Jiro unable to make a move.

If Jiro removes three stones, Taro can remove two stones to make Jiro unable to make a move.

Sample Input 4

3 20
1 2 3

Sample Output 4

Second

Sample Input 5

3 21
1 2 3

Sample Output 5

First

Sample Input 6

1 100000
1

Sample Output 6

Second

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

import java.util.Scanner;

public class Main {

    public static void main(String[] args) {
	    Scanner sc = new Scanner(System.in);
	    int N = sc.nextInt();
	    int K = sc.nextInt();
	    int[] as = new int[N];
	    boolean[] Rs = new boolean[K+1];

	    for(int i=0; i<N; ++i) {
            as[i] = sc.nextInt();
        }

	    // Rs[0] false 임으로 Taro가 이기는 경우 입니다.
        for(int i=1; i<=K; ++i) {
            boolean bRi = false;
            for(int j=0; j<N && (bRi == false); ++j) {
                boolean tRi = false;
                int r = i - as[j];
                if(r < 0) {
                    tRi = false;
                }
                else {
                    tRi = !Rs[r];
                }
                bRi = (bRi | tRi);
            }
            Rs[i] = bRi;
        }

        System.out.println(Rs[K]? "First": "Second");
    }
}