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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.*;
import java.io.*;

public class Main {

    private static FastScanner sc = new FastScanner();
    private static Solution solution = new Solution();

    public static void main(String[] args) {

        int a = sc.nextInt();
        int b = sc.nextInt();

        System.out.println(a==b?"Draw":(a==1?"Alice":b==1?"Bob":a>b?"Alice":"bob"));

    }
}

class Solution {
    public String stringLCS(String s1,String s2){//最長部分文字列そのものを返す
        int l1 = s1.length();//s1の長さ
        int l2 = s2.length();//s2の長さ
        StringBuilder ans = new StringBuilder();
        int last = 0;
        if(l1==0||l2==0){
            return ans.toString();
        }

        int[][] m = new int[l1][l2];
        int maxLen = 0;

        for(int i = 0;i < l1;i++){
            if(s1.charAt(i)==s2.charAt(0)){
                m[i][0] = 1;
                maxLen = 1;
            }else{
                m[i][0] = 0;
            }
        }

        for(int i = 0;i < l2;i++){
            if(s1.charAt(0)==s2.charAt(i)){
                m[0][i] = 1;
                maxLen = 1;
                last = i;
            }else{
                m[0][i] = 0;
            }
        }

        for(int i = 1;i < l1;i ++){
            for(int j = 1;j < l2;j ++){
                if(s1.charAt(i)!=s2.charAt(j)){
                    m[i][j] = 0;
                }else{
                    m[i][j] = m[i-1][j-1] + 1;
                    if(m[i][j] > maxLen){
                        maxLen = m[i][j];
                        last = i;
                    }
                }
            }
        }

        for(int i = last - maxLen +1;i <= last;i++){
            ans.append(String.valueOf(s1.charAt(i)));
        }

        return ans.toString();

    }
    public int countLCS(String s1,String s2){//最長共通部分文字列 文字数を返す
        int l1 = s1.length();//s1の長さ
        int l2 = s2.length();//s2の長さ
        if(l1==0||l2==0){
            return 0;
        }

        int[][] m = new int[l1][l2];
        int maxLen = 0;

        for(int i = 0;i < l1;i++){
            if(s1.charAt(i)==s2.charAt(0)){
                m[i][0] = 1;
                maxLen = 1;
            }else{
                m[i][0] = 0;
            }
        }

        for(int i = 0;i < l2;i++){
            if(s1.charAt(0)==s2.charAt(i)){
                m[0][i] = 1;
                maxLen = 1;
            }else{
                m[0][i] = 0;
            }
        }

        for(int i = 1;i < l1;i ++){
            for(int j = 1;j < l2;j ++){
                if(s1.charAt(i)!=s2.charAt(j)){
                    m[i][j] = 0;
                }else{
                    m[i][j] = m[i-1][j-1] + 1;
                    maxLen = m[i][j] > maxLen?m[i][j]:maxLen;
                }
            }
        }
        return maxLen;


    }

    public List<Integer> prime_factorization(int n){//素数のリストを返す　例：n=12...2,2,3
        final List<Integer> list = new ArrayList<Integer>();
        if(n < 2){
            return list;
        }

        while(n!=1&&n%2==0){
            list.add(2);
            n >>>= 1;
        }

        for(int i = 3;i*i<n;i+=2){
            while(n%i==0){
                list.add(i);
                n/=i;
            }
        }
        if(n!=1){
            list.add(n);
        }
        return list;
    }

    public int count_divisor(int n) {//約数の数を返す
        final List<Integer> list = new ArrayList<Integer>();
        int count = 1;
        int temp;
        if (n < 2) {
            return count;
        }

        temp = 0;
        while (n != 1 && n % 2 == 0) {
            temp++;
            n >>>= 1;
        }
        count *= temp + 1;


        for (int i = 3; i * i < n; i += 2) {
            temp = 0;
            while (n % i == 0) {
                temp++;
                n /= i;
            }
            count *= temp + 1;
        }
        if (n != 1) {
            count*=2;
        }
        return count;
    }
}

class FastScanner extends PrintWriter {
    private final InputStream in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    FastScanner() {
        this(System.in);
    }

    FastScanner(InputStream source) {
        super(System.out);
        this.in = source;
    }

    boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        } else {
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }

    int readByte() {
        if (hasNextByte()) return buffer[ptr++];
        else return -1;
    }

    boolean isPrintableChar(int c) {
        return 33 <= c && c <= 126;
    }

    boolean isNewLine(int c) {
        return c == '\n' || c == '\r';
    }

    void skipUnprintable() {
        while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;
    }

    void skipNewLine() {
        while (hasNextByte() && isNewLine(buffer[ptr])) ptr++;
    }

    boolean hasNext() {
        skipUnprintable();
        return hasNextByte();
    }

    boolean hasNextLine() {
        skipNewLine();
        return hasNextByte();
    }

    String next() {
        if (!hasNext()) {
            throw new NoSuchElementException();
        }
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while (isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }

    char[] nextCharArray(int len) {
        if (!hasNext()) {
            throw new NoSuchElementException();
        }
        char[] s = new char[len];
        int i = 0;
        int b = readByte();
        while (isPrintableChar(b)) {
            if (i == len) {
                throw new InputMismatchException();
            }
            s[i++] = (char) b;
            b = readByte();
        }
        return s;
    }

    String nextLine() {
        if (!hasNextLine()) {
            throw new NoSuchElementException();
        }
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while (!isNewLine(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }

    long nextLong() {
        if (!hasNext()) {
            throw new NoSuchElementException();
        }
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while (true) {
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            } else if (b == -1 || !isPrintableChar(b)) {
                return minus ? -n : n;
            } else {
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }

    int nextInt() {
        long nl = nextLong();
        if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) {
            throw new NumberFormatException();
        }
        return (int) nl;
    }

    char nextChar() {
        if (!hasNext()) {
            throw new NoSuchElementException();
        }
        return (char) readByte();
    }

    double nextDouble() {
        return Double.parseDouble(next());
    }

    int[] arrayInt(int n) {
        int[] a = new int[n];
        for (int i = 0; i < n; i++) a[i] = nextInt();
        return a;
    }

    long[] arrayLong(int n) {
        long[] a = new long[n];
        for (int i = 0; i < n; i++) a[i] = nextLong();
        return a;
    }

    double[] arrayDouble(int n) {
        double[] a = new double[n];
        for (int i = 0; i < n; i++) a[i] = nextDouble();
        return a;
    }

    void arrayInt(int[]... a) {
        for (int i = 0; i < a[0].length; i++) for (int j = 0; j < a.length; j++) a[j][i] = nextInt();
    }

    int[][] matrixInt(int n, int m) {
        int[][] a = new int[n][];
        for (int i = 0; i < n; i++) a[i] = arrayInt(m);
        return a;
    }

    char[][] charMap(int n, int m) {
        char[][] a = new char[n][];
        for (int i = 0; i < n; i++) a[i] = nextCharArray(m);
        return a;
    }

    public void close() {
        super.close();
        try {
            in.close();
        } catch (IOException ignored) {
        }
    }
}