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 <cstdio>
#include <algorithm>    
#include <iostream>
#include <vector>
#include <queue>
// #include <map>
#include <iomanip>
#include <cstring>
#include <cmath>
#define all(x) (x).begin(),(x).end()
using namespace std;
typedef long long LL;
typedef long double LD;
typedef unsigned int uii;
typedef pair<int,int> pii;
typedef unsigned long long uLL; 
typedef vector<int> vii; 
const int maxn = 1e5;
int d[maxn + 5], a[111];

int main(int argc, char const *argv[])
{
#ifndef ONLINE_JUDGE
	//freopen("in.txt", "r", stdin);
	// freopen("out.txt", "w", stdout);
#endif
	ios::sync_with_stdio(false);
	cin.tie(0);
	int n, k;
	cin >> n >> k;
	for(int i = 1; i <= n; ++i){
		cin >> a[i];
	}
	// sort(a + 1, a + n);
	for(int i = 1; i <= k; ++i){
		for(int j = 1; j <= n; ++j){
			if(i - a[j] >= 0 && d[i - a[j]] == 0){
				d[i] = 1;
			}
		}
	}

	if(d[k] == 1) cout << "First" << endl;
	else cout << "Second" << endl;
	// cout << d[n][k] << endl;
	return 0;
}