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: Accepted)

import java.io.IOException;
import java.io.InputStream;
import java.util.Arrays;
import java.util.NoSuchElementException;


public class Main {
    public static void main(String[] args) {
        FastScanner sc = new FastScanner();
        int a = sc.nextInt();
        int b = sc.nextInt();
        if (a == 1) {
            a += 13;
        }
        if (b == 1) {
            b += 13;
        }
        if (a > b) {
            System.out.println("Alice");
        }
        if (a < b) {
            System.out.println("Bob");
        }
        if (a == b) {
            System.out.println("Draw");
        }
    }
}


class FastScanner {
    public static String debug = null;

    private final InputStream in = System.in;
    private int ptr = 0;
    private int buflen = 0;
    private byte[] buffer = new byte[1024];
    private boolean eos = false;

    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        } else {
            ptr = 0;
            try {
                if (debug != null) {
                    buflen = debug.length();
                    buffer = debug.getBytes();
                    debug = "";
                    eos = true;
                } else {
                    buflen = in.read(buffer);
                }
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen < 0) {
                eos = true;
                return false;
            } else if (buflen == 0) {
                return false;
            }
        }
        return true;
    }

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

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

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

    public boolean isEOS() {
        return this.eos;
    }

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

    public 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();
    }

    public 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();
        }
    }

    public int nextInt() {
        return (int) nextLong();
    }

    public long[] nextLongList(int n) {
        return nextLongTable(1, n)[0];
    }

    public int[] nextIntList(int n) {
        return nextIntTable(1, n)[0];
    }

    public long[][] nextLongTable(int n, int m) {
        long[][] ret = new long[n][m];
        for (int i = 0; i < n; i ++) {
            for (int j = 0; j < m; j ++) {
                ret[i][j] = nextLong();
            }
        }
        return ret;
    }

    public int[][] nextIntTable(int n, int m) {
        int[][] ret = new int[n][m];
        for (int i = 0; i < n; i ++) {
            for (int j = 0; j < m; j ++) {
                ret[i][j] = nextInt();
            }
        }
        return ret;
    }
}