Divisor Luck

A and B are playing a game.
A has a range [L1 , R1] and B has a range [L2 , R2 ]. Both players pick a random number(each number is equi-probably picked) from their respective ranges.

Their individual score is defined as the sum of divisors of the number they picked.The player with the higher score wins. You need to find out which player has a higher probability of winning.

Output "A" if A has a higher chance of winning, "B" if B has a higher chance of winning and "Draw" if they win with equal
probability.

Inputs:

The first line contains two space-separated integers, L1 and R1
The second line contains two space-separated integers, L2 and R2

Constraints:
1 <= L 1 <= R 1 <= 2 * 10^6
1 <= L 2 <= R 2 <= 2 * 10^6

Sample Input
1 1
1 2

Sample Output
B