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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
#define fast ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define pb push_back
#define endl '\n'
#define MOD 1000000007
#define MOD2 998244353

using namespace std;
typedef long long int ll;

bool win[100010];
bool mark[100010];
int a[100010];
int n;

bool calc(int val)
{
	if (val < 0) return 1;
	if (val == 0) return 0;
	if (mark[val]) return win[val];
	mark[val] = true;
	for (int i = 0; i < n; ++i)
	{
		win[val] |= (calc(val-a[i])^1);
	}
	return win[val];
}

int main(void)
{
	fast;
	#ifndef ONLINE_JUDGE
	// freopen("in", "r", stdin);
	// freopen("out", "w", stdout);
	#endif

	cin >> n;
	int k; cin >> k;
	for (int i = 0; i < n; ++i)
	{
		cin >> a[i];
	}
	bool ans = calc(k);
	if (ans) cout << "First\n";
	else cout << "Second\n";
}