Problem:
Score : 100 points

Problem Statement

Alice and Bob are playing One Card Poker.

One Card Poker is a two-player game using playing cards.

Each card in this game shows an integer between 1 and 13, inclusive.

The strength of a card is determined by the number written on it, as follows:

Weak 2 < 3 < 4 < 5 < 6 < 7 < 8 < 9 < 10 < 11 < 12 < 13 < 1 Strong

One Card Poker is played as follows:

Each player picks one card from the deck. The chosen card becomes the player's hand.

The players reveal their hands to each other. The player with the stronger card wins the game.

If their cards are equally strong, the game is drawn.

You are watching Alice and Bob playing the game, and can see their hands.

The number written on Alice's card is A, and the number written on Bob's card is B.

Write a program to determine the outcome of the game.

Constraints

1≦A≦13

1≦B≦13

A and B are integers.

Input

The input is given from Standard Input in the following format:

A B

Output

Print Alice if Alice will win. Print Bob if Bob will win. Print Draw if the game will be drawn.

Sample Input 1

8 6

Sample Output 1

Alice

8 is written on Alice's card, and 6 is written on Bob's card.
Alice has the stronger card, and thus the output should be Alice.

Sample Input 2

1 1

Sample Output 2

Draw

Since their cards have the same number, the game will be drawn.

Sample Input 3

13 1

Sample Output 3

Bob

Solution in C# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.ComponentModel.DataAnnotations;
using System.IO;
using System.Linq;

namespace AtCoder
{
    public class Solver
    {
        private readonly IInputReader _inputReader;
        private readonly IOutputWriter _outputWriter;

        public Solver(IInputReader inputReader, IOutputWriter outputWriter)
        {
            _inputReader = inputReader;
            _outputWriter = outputWriter;
        }

        public void Solve()
        {
            var cards = _inputReader.ReadLine().ToIntArray();
            _outputWriter.WriteLine(cards[0] == cards[1] ? "Draw" : (cards[0] > cards[1] ? "Alice" : "Bob"));
        }
    }


    internal class Program
    {
        static void Main(string[] args)
        {
            var reader = new ConsoleInputReader();
            var writer = new ConsoleOutputWriter();
            new Solver(reader, writer).Solve();
        }
    }

    public interface IInputReader
    {
        string ReadLine();
    }

    public interface IOutputWriter
    {
        void WriteLine(string output);
    }

    internal class ConsoleInputReader : IInputReader
    {
        public string ReadLine() => Console.ReadLine();
    }

    internal class ConsoleOutputWriter : IOutputWriter
    {
        public void WriteLine(string output) => Console.WriteLine(output);
    }

    public static class StringExtensions
    {
        public static char ToChar(this string text) => text[0];
        public static string[] ToStringArray(this string text) => text.Split(' ').ToArray();
        public static int ToInt(this string text) => int.Parse(text);
        public static int[] ToIntArray(this string text) => text.Split(' ').Select(txt => txt.ToInt()).ToArray();
        public static long ToLong(this string text) => long.Parse(text);
        public static long[] ToLongArray(this string text) => text.Split(' ').Select(txt => txt.ToLong()).ToArray();
        public static string ToJoinedString(this string[] texts) => string.Join("", texts);
        public static string ToJoinedString(this char[] chars) => string.Join("", chars);
    }

    public struct ModLong : IEquatable<ModLong>
    {
        private const long Mod = 1000000007;
        private readonly long _value;

        public ModLong(long value)
        {
            _value = (value % Mod + Mod) % Mod;
        }

        public bool Equals(ModLong other)
        {
            return _value == other._value;
        }

        public override bool Equals(object obj)
        {
            return obj is ModLong other && Equals(other);
        }

        public override int GetHashCode()
        {
            return _value.GetHashCode();
        }

        public static bool operator ==(ModLong left, ModLong right)
        {
            return left.Equals(right);
        }

        public static bool operator !=(ModLong left, ModLong right)
        {
            return !left.Equals(right);
        }

        public static ModLong operator +(ModLong left, ModLong right)
        {
            return (ModLong) (left._value + right._value);
        }

        public static ModLong operator -(ModLong left, ModLong right)
        {
            return (ModLong) (left._value - right._value);
        }

        public static ModLong operator *(ModLong left, ModLong right)
        {
            return (ModLong) (left._value * right._value);
        }

        public static ModLong operator /(ModLong left, ModLong right)
        {
            return (ModLong) (left._value * Util.ModInv(right._value, Mod));
        }

        public static explicit operator long(ModLong num)
        {
            return num._value;
        }

        public static explicit operator ModLong(long num)
        {
            return new ModLong(num);
        }

        public override string ToString() => _value.ToString();
    }

    public class ModCombination
    {
        private const int Max = 510000;
        private const long Mod = 1000000007;

        private long[] fac = new long[Max];
        private long[] finv = new long[Max];
        private long[] inv = new long[Max];

        public ModCombination()
        {
            fac[0] = 1;
            fac[1] = 1;
            finv[0] = 1;
            finv[1] = 1;
            inv[1] = 1;
            for (var i = 2; i < Max; i++)
            {
                fac[i] = fac[i - 1] * i % Mod;
                inv[i] = Mod - inv[Mod % i] * (Mod / i) % Mod;
                finv[i] = finv[i - 1] * inv[i] % Mod;
            }
        }

        /// <summary>
        /// mCn 組み合わせ
        /// </summary>
        /// <param name="m"></param>
        /// <param name="n"></param>
        /// <returns></returns>
        public long Combination(long m, long n)
        {
            if (m < n) return 0;
            if (m < 0 || n < 0) return 0;
            return fac[m] * (finv[n] * finv[m - n] % Mod) % Mod;
        }
    }

    public class Util
    {
        /// <summary>
        /// a^n mod を計算する
        /// </summary>
        /// <param name="a"></param>
        /// <param name="n"></param>
        /// <param name="mod"></param>
        /// <returns></returns>
        public static long ModPow(long a, long n, long mod)
        {
            long res = 1;
            while (n > 0)
            {
                if ((n & 1) == 1)
                {
                    res = res * a % mod;
                }

                a = a * a % mod;
                n >>= 1;
            }

            return res;
        }

        /// <summary>
        /// a^{-1} mod を計算する
        /// </summary>
        /// <param name="a"></param>
        /// <param name="mod"></param>
        /// <returns></returns>
        public static long ModInv(long a, long mod)
        {
            return ModPow(a, mod - 2, mod);
        }

        /// <summary>
        /// 階乗
        /// </summary>
        /// <param name="n"></param>
        /// <returns></returns>
        /// <exception cref="ArgumentOutOfRangeException"></exception>
        public static long ModFactional(long n)
        {
            if (n < 0) throw new ArgumentOutOfRangeException(nameof(n));
            ModLong result = (ModLong) 1;
            for (var i = 1; i <= n; i++)
            {
                result *= (ModLong) i;
            }

            return (long) result;
        }
    }
}