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 Go (1.6) (judge verdict: Wrong Answer)

package main

import (
    "fmt"
)

var n, k int
var as []int
var m map[int]int

func main() {
    m = make(map[int]int)

    fmt.Scan(&n, &k)
    as = make([]int, n)
    for i := 0; i < n; i++ {
        var a int
        fmt.Scan(&a)
        as[i] = a
    }

    res := calc(k)
    if res == 1 {
        fmt.Println("First")
    } else {
        fmt.Println("Second")
    }

}

func calc(r int) int {
    if v, ok := m[r]; ok {
        return v
    }

    if r < as[0] {
        m[r] = -1
        return -1
    }

    var w int
    for i := 0; i < n; i++ {
        if r >= as[i] {
            ret := calc(r - as[i])
            if ret == -1 {
                w = 1
            }
        }
    }
    m[r] = w
    return w
}