Hints:

Declare an array with size 1001 for counting the input numbers...

Today, Rock found an array of integers in his cupboard. Help Rock calculate the mode of this array.

The mode of an array is defined as the element with the highest number of occurrences in the array. If there are multiple such elements, the mode is undefined.

Input

The first line of input contains an integer $n$, the size of the array $A$.
The second line of input contains $n$ integers, $A_1, \cdots, A_n$.

Output

If the mode exists, output the mode.
Otherwise, output undefined.

Constraints

For all cases, $1 \le n \le 10^5$ and $0 \le A_i \le 10^3$.

Subtask 1 (60%): The mode is guaranteed to exist.
Subtask 2 (40%): The mode may not exist.