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# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

#if DEBUG
using Microsoft.VisualStudio.TestTools.UnitTesting;
#endif

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Contest
{
    class Program
    {
        static void Main(string[] args)
        {
            var scanner = new IO.StreamScanner(Console.OpenStandardInput());

            var n = scanner.Integer();
            var k = scanner.Integer();
            var a = scanner.ScanLine().Split().Select(v => int.Parse(v)).ToList();

            var ans = GetAns(k, a);
            IO.Printer.Out.WriteLine(ans ? "First" : "Second");
            IO.Printer.Out.Flush();
        }

        public static bool GetAns(int k, List<int> a)
        {
            var stat1 = ulong.MaxValue;
            var stat2 = ulong.MaxValue;
            return GetAns(stat1, stat2, k, a);
        }

        static Dictionary<Tuple<ulong, ulong>, bool> _memo = new Dictionary<Tuple<ulong, ulong>, bool>();

        static bool GetAns(ulong stat1, ulong stat2, int k, List<int> a)
        {
            var key = new Tuple<ulong, ulong>(stat1, stat2);
            if (_memo.ContainsKey(key)) return _memo[key];
            var ret = false;

            for (int i = 0; i < a.Count(); i++)
            {
                if (a[i] > k) continue;
                if (!Remains(stat1, stat2, i)) continue;
                var newStat = GetStat(stat1, stat2, i);
                var stat1_2 = newStat.Item1;
                var stat2_2 = newStat.Item2;
                if (!GetAns(stat1_2, stat2_2, k - a[i], a)) return true;
            }

            _memo[key] = ret;
            return ret;
        }

        static bool Remains(ulong s1, ulong s2, int idx)
        {
            if(idx > 63)
            {
                return (s1 >> idx) % 2 == 1;
            }
            else
            {
                return (s2 >> (idx - 64)) % 2 == 1;
            }
        }

        static Tuple<ulong, ulong> GetStat(ulong s1, ulong s2, int idx)
        {
            if(idx > 63)
            {
                idx %= 64;
                s2 = (1ul << idx) ^ s2;
            }
            else
            {
                s1 = (1ul << idx) ^ s1;
            }

            return new Tuple<ulong, ulong>(s1, s2);
        }
    }

#if DEBUG

    [TestClass]
    public class Test
    {
        [TestMethod]
        public void Test1()
        {
            var n = 2;
            var k = 4;
            var a = new List<int> { 2, 3 };
            Assert.IsTrue(Program.GetAns(k, a));
        }

        [TestMethod]
        public void Test2()
        {
            var n = 2;
            var k = 5;
            var a = new List<int> { 2, 3 };
            Assert.IsFalse(Program.GetAns(k, a));
        }

        [TestMethod]
        public void Test3()
        {
            var n = 2;
            var k = 7;
            var a = new List<int> { 2, 3 };
            Assert.IsFalse(Program.GetAns(k, a));
        }

        [TestMethod]
        public void Test4()
        {
            var n = 3;
            var k = 20;
            var a = new List<int> { 1, 2, 3 };
            Assert.IsFalse(Program.GetAns(k, a));
        }
    }

#endif
}

namespace IO
{
    using System.IO;
    using System.Text;
    using System.Globalization;

    public class Printer : StreamWriter
    {
        static Printer()
        {
            Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false };
        }

        public static Printer Out { get; set; }

        public override IFormatProvider FormatProvider
        {
            get { return CultureInfo.InvariantCulture; }
        }

        public Printer(Stream stream)
            : base(stream, new UTF8Encoding(false, true))
        {
        }

        public Printer(Stream stream, Encoding encoding)
            : base(stream, encoding)
        {
        }

        public void Write<T>(string format, T[] source)
        {
            base.Write(format, source.OfType<object>().ToArray());
        }

        public void WriteLine<T>(string format, T[] source)
        {
            base.WriteLine(format, source.OfType<object>().ToArray());
        }
    }

    public class StreamScanner
    {
        public StreamScanner(Stream stream)
        {
            str = stream;
        }

        public readonly Stream str;
        private readonly byte[] buf = new byte[1024];
        private int len, ptr;
        public bool isEof;

        public bool IsEndOfStream
        {
            get { return isEof; }
        }

        private byte read()
        {
            if (isEof) return 0;
            if (ptr < len) return buf[ptr++];
            ptr = 0;
            if ((len = str.Read(buf, 0, 1024)) > 0) return buf[ptr++];
            isEof = true;
            return 0;
        }

        public char Char()
        {
            byte b;
            do b = read(); while ((b < 33 || 126 < b) && !isEof);
            return (char)b;
        }

        public string Scan()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
                sb.Append(b);
            return sb.ToString();
        }

        public string ScanLine()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b != '\n'; b = (char)read())
                if (b == 0) break;
                else if (b != '\r') sb.Append(b);
            return sb.ToString();
        }

        public long Long()
        {
            if (isEof) return long.MinValue;
            long ret = 0;
            byte b;
            var ng = false;
            do b = read(); while (b != 0 && b != '-' && (b < '0' || '9' < b));
            if (b == 0) return long.MinValue;
            if (b == '-')
            {
                ng = true;
                b = read();
            }
            for (; ; b = read())
            {
                if (b < '0' || '9' < b)
                    return ng ? -ret : ret;
                ret = ret * 10 + b - '0';
            }
        }

        public int Integer()
        {
            return (isEof) ? int.MinValue : (int)Long();
        }

        public double Double()
        {
            var s = Scan();
            return s != "" ? double.Parse(s, CultureInfo.InvariantCulture) : double.NaN;
        }

        static T[] enumerate<T>(int n, Func<T> f)
        {
            var a = new T[n];
            for (int i = 0; i < n; ++i) a[i] = f();
            return a;
        }

        public char[] Char(int n)
        {
            return enumerate(n, Char);
        }

        public string[] Scan(int n)
        {
            return enumerate(n, Scan);
        }

        public double[] Double(int n)
        {
            return enumerate(n, Double);
        }

        public int[] Integer(int n)
        {
            return enumerate(n, Integer);
        }

        public long[] Long(int n)
        {
            return enumerate(n, Long);
        }
    }
}