There are $n$ numbers written on a blackboard. Exactly one of the numbers is interesting because it is both prime and palindrome. Can you find it?

Input

The first input line contains an integer $t$: the number of test cases.

Each test case consists of two lines. The first line contains an integer $n$: the amount of numbers. The second line contains $n$ numbers on the blackboard.

Output

For each test case, output the interesting number.

Constraints

• $1 \le t \le 1000$
• each number is between $1$ and $1000$
• the sum of all $n$ values is at most $10^5$

Example

Input:

3
5
12 8 11 14 19
3
6 7 8
4
44 85 100 131

Output:

11
7
131