Next Prime Palindrome
Easy Accuracy: 15.62% Submissions: 1734 Points: 2

You will be given a positive integer N. Your task is to find the smallest number greater than or equal to N that is a prime and a palindrome.
 

Input:
The first line of input contains a single integer T denoting the number of test cases.
Then T test cases follow. The first and only line of each test case consists of N.

 

Output:
Corresponding to each test case, in a new line, print the smallest number greater than or equal to N that is a prime and a palindrome.

 

Constraints:
1 ≤ T ≤ 100
1 ≤ N ≤ 107

 

Example:

Input
3
188
4
872

Output
191
5
919

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