Interesting Game

Limits: 2 sec., 256 MiB

Little Imp and Dragon like to spend their spare time together. Today they are playing an interesting game.

The game is played on N by M board. Initially all board cells are white. The players alternate turns and Little Imp starts the game. While making a turn a player selects a white board cell and paints it black. A player who can not make a valid move (because all the board is black) looses the game and his opponent is considered to be a winner.

Your task is to determine the game winner.

Input

Two integers N and M separated by a space.

Output

Print "Imp" (quotes for clarity) if Little Imp wins the game otherwise print "Dragon".

Constraints

\(1 \le \mathbf{N}, \mathbf{M} \le 100\).

Samples