Determine Game Winner

You are given a list of integers representing numbers removed in a sequential game. In this game, players take turns removing one number from the beginning of the list.

According to the game rules, if the total number of elements n is odd, then the first player (Alice) wins, and if n is even, the game ends in a draw.

Formally, for a given integer \(n\) and a list of \(n\) integers, the winner is determined as follows:

\[ \text{winner} = \begin{cases} \text{ALICE} & \text{if } n \text{ is odd} \\ \text{DRAW} & \text{if } n \text{ is even} \end{cases} \]

Your task is to implement the logic to determine the correct outcome.

inputFormat

The input is given via standard input (stdin) and has the following format:

• The first line contains an integer \(n\) representing the number of elements in the list.
• The second line contains \(n\) space-separated integers.

outputFormat

Print a single line to standard output (stdout) containing one of the following strings: "ALICE" or "DRAW".

The output is determined as follows:

\[ \text{output} = \begin{cases} \text{ALICE} & \text{if } n \text{ is odd} \\ \text{DRAW} & \text{if } n \text{ is even} \end{cases} \]## sample

5
4 1 2 3 5

ALICE