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 ios ios_base::sync_with_stdio(0);cin.tie(0)
#define scn(n) scanf("%d",&n)
#define lscn(n) scanf("%lld",&n)
typedef long long ll;
#define pri(n) printf("%d\n",n)
#define lpri(n) printf("%lld\n",n);
#define rep(i,st,ed) for(int i=st;i<ed;i++)
#define var(n) int n; scn(n)
#define F first
#define S second 
#define pb push_back
const int N=309;
// const ll M = 998244353;
const ll M=1e9+7;
const ll inf=1e18;

double dp[N][N][N];

int main()
{
	var(n);var(k);
	int a[n];
	int dp[k+1]={0};	
	rep(i,0,n)
	{
		scn(a[i]);
		dp[a[i]]=1;
	}
	dp[0]=0;
	for(int i=1;i<=k;i++)
	{
		int ok = 0;
		for(int j=0;j<n;j++)
		{
			int pos = i-a[j];
			if(pos>=0)
			{
				if(dp[pos]==0)
				{
					ok = 1;
					break;
				}
			}
		}
		dp[i]=ok;
	}
	if(dp[k]==1)
		printf("First\n");
	else
		printf("Second\n");

}