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 <cstring>
#include <cmath>
#include <algorithm>
#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <string>
#include <numeric>
#include <complex>

using namespace std;

typedef long long ll;

#define mp make_pair
#define pb push_back
#define PI 3.1415926535897932384626433832795

#define fill(x, v)  fillchar(x, v, sizeof(x))
typedef pair<int, int>  pii;
typedef vector<int>     vi;
typedef vector< pii >   vpii;

#define MAXN 110
#define MAXK 100500

int win[MAXK];
int a[MAXN];
int n, k;

int main() {
    scanf("%i%i", &n, &k);
    for(int i = 0; i < n; ++i) scanf("%i", &a[i]);

    for(int i = 0; i <= k; ++i) {
        win[i] = 0;
        for(int j = 0; j < n; ++j)
            if (i >= a[j] && !win[i - a[j]]) {
                win[i] = 1;
                break;
            }
        //printf("%i: %i\n", i, win[i]);
    }

    if (win[k]) printf("First\n"); else printf("Second\n");
    return 0;
}