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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include<bits/stdc++.h>
#include <unistd.h>
using namespace std;
#define nl cout<<"\n"
#define pb push_back
#define se second
#define fi first
#define int long long 
#define pi pair<int,int>
#define vpi vector<pi>
#define vvpi vector<vpi>
#define fio ios_base::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL)
#define For(i,n) for(int i=0;i<n;i++)
#define Forn(i,a,n) for(int i=a;i<n;i++)
#define pie =3.14159265358979323846264338327950;
const int mod= 1e9+7;


void solve(){
	fio;
	int n,k;
	cin>>n>>k;
	int ar[n];
	For(i,n) cin>>ar[i];
	bool dp[k+1];
	dp[0]=false;
	for(int i=0;i<=k;i++){
		for(int j=0;j<n;j++){
			if(i-ar[j]>=0 && !dp[i-ar[j]]){
				dp[i]=true;
			}
		}
	}
	if(dp[k]) cout<<"First"<<endl;
	else cout<<"Second"<<endl;
}

int32_t main(){
	fio;
	//freopen("input.txt", "r", stdin);
	//freopen("output.txt", "w", stdout);
	int t=1;
	//cin>>t;
	for(int i=1;i<=t;i++){ 
		//cout<<"Case #"<<i<<":\n";
		solve();
	}
	return 0;
}