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