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>
using namespace std;
#define vb __int128
#define ll long long
#define ld long double
#define full(a) a.begin(),a.end()
#define stoink stack<ll>
#define vec vector <ll>
#define vg vector<vector<ll> >
#define vgw vector<vector<pair<ll,ll> >
#define pa pair<ll,ll>
#define mp make_pair
#define pb push_back
#define ff first
#define ss second
#define pre 0.00000000000000000001
#define inf 1000000000000
#define mod 998244353
vec arr;
ll n;
vector<int> dp;
bool func(ll val) {
	if(val <= 0)
		return 0;
	if(dp[val] != -1)
		return dp[val];
	bool res = 0;
	for(int i = 0 ; i < n ; i++) {
		if(arr[i] <= val) {
			int temp = func(val - arr[i]);
			if(temp == 0)
				res = 1;
		}
	}
	return dp[val] = res;

}
int main()
{	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	ll k,i;
	cin >> n >> k;
	arr.resize(n);
	dp.resize(k+1,-1);
	for(i = 0 ; i < n ; i++)
		cin >> arr[i];
	if(func(k))
		cout << "First";
	else
		cout << "Second";
	return 0;
}