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: Wrong Answer)

/*huzaifa242 copyright*/
#include <bits/stdc++.h>
using namespace std;
#define PI 3.1415926535897932384626
#define mod 1000000007
#define MAX 100005
int dp[MAX],nn[105];
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    #ifdef ONLINE_JUDGE
        freopen("input.txt","r",stdin);
        freopen("output.txt","w",stdout);  
    #endif
    int i,j,n,k;
    cin>>n>>k;
    memset(dp,0,sizeof(dp));
    for(i=1;i<=k;i++)
    {
        memset(nn,0,sizeof(nn));
        for(j=i-1;j>i-n-1 && j>=0;j--)
        nn[dp[j]]=1;
        for(j=0;j<n;j++)
        if(nn[j]==0)
        {
            dp[i]=j;
            break;
        }
    }
    cout<<(dp[k]==0?"Second":"First")<<"\n";
    return 0;
}