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: Accepted)

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define FAST ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
#define ALL(a) a.begin(), a.end()
#define RALL(a) a.rbegin(), a.rend()
#define pb push_back
#define MOD 1000000007
#define sz5 100005
#define sz6 1000005
#define UP upper_bound
#define LB lower_bound
#define F first
#define S second
#define PI pair<int,int>
#define PL pair<ll,ll>
#define VI vector<int>
#define VL vector<ll>


int main() {
    FAST

    // #ifndef ONLINE_JUDGE
    //     freopen("in", "r", stdin);
    //     // freopen("out", "w", stdout);
    // #endif

    int n,k,la,lb;
    cin>>n>>k;
    
    bool mk[k+5]={0};
    mk[0]=false;
    int arr[n+5];
    
    for(la=1;la<=n;la++)
        cin>>arr[la];

    for(la=1;la<=n;la++)
        mk[arr[la]]=true;

    for(la=1;la<=k;la++){
        if(mk[la])
            continue;
        bool cur=true;
        for(lb=1;lb<=n;lb++)
        if(arr[lb]<=la)
            cur=min(cur, mk[la-arr[lb]]);
        
        if(!cur)
            mk[la]=true;
        else
            mk[la]=false;
    }

    if(mk[k])
        cout<<"First"<<endl;
    else
        cout<<"Second"<<endl;
    return 0;
}