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 Java (OpenJDK 11.0.6) (judge verdict: Wrong Answer)



import java.io.PrintWriter;
import java.util.Scanner;

public class Main {
  public static PrintWriter out = new PrintWriter(System.out);
  public static Scanner in = new Scanner(System.in);

  public static void main(String[] args) {
    //      int t = ni();
    //      while (t-- > 0)
    solve();
    out.flush();
  }

  private static void solve() {

    int n = ni();
    int k = ni();
    int[] a = na(n);
    boolean[] dp = new boolean[k + 1];
    for (int i = 0; i <= k; i++) {
      for (int x : a) {
        if (i - x >= 0) {
          dp[i] |= !dp[i - x];
        } else break;
      }
    }
    out.println(dp[k] ? "f" : "s");
  }

  private static int ni() {
    return in.nextInt();
  }

  private static int[] na(int n) {
    int[] a = new int[n];
    for (int i = 0; i < n; i++) a[i] = ni();
    return a;
  }

  private static long[] nal(int n) {
    long[] a = new long[n];
    for (int i = 0; i < n; i++) a[i] = nl();
    return a;
  }

  private static long nl() {
    return in.nextLong();
  }

  private float nf() {
    return in.nextFloat();
  }

  private static double nd() {
    return in.nextDouble();
  }
}