SPOJ.com - Problem PALIN

PALIN - The Next Palindrome

#ad-hoc-1

A positive integer is called a palindrome if its representation in the decimal system is the same when read from left to right and from right to left. For a given positive integer K of not more than 1000000 digits, write the value of the smallest palindrome larger than K to output. Numbers are always displayed without leading zeros.

Input

The first line contains integer t, the number of test cases. Integers K are given in the next t lines.

Output

For each K, output the smallest palindrome larger than K.

Example

Input:
2
808
2133

Output:
818
2222

Warning: large Input/Output data, be careful with certain languages

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	GURUPREET SINGH: 2014-08-22 20:39:44 do we need to consider 0 as an input?? (reply by cyclops) Positive means greater than zero. Last edit: 2014-08-22 23:00:56
	Hidenori: 2014-07-30 00:50:18 It's very easy to write bruteforce solution, so it was really easy to test!
	LeppyR64: 2014-07-27 17:31:11 Read the problem statement carefully there have been many posts on the forum with people missing the same detail: "For a given positive integer K of not more than 1000000 digits"
	Nakul Mohan: 2014-07-26 20:52:06 nice problem...AC finally :)
	Zishan Ahmad: 2014-07-21 16:28:30 what is the upper limit of t ?
	Yevgen Yampolskiy: 2014-07-13 06:38:05 WARNING: last line does not have terminating '\n'. If you implement your own I/O library then you may run into an issue (as I did) Last edit: 2014-07-13 17:43:42
	Wasim Thabraze: 2014-07-05 12:36:16 Huh! Finally AC after a 24hr struggle! Last edit: 2014-07-06 05:59:45
	Mitch Schwartz: 2014-06-26 21:40:34 @ankush: There is no such feature. (This is mentioned at http://www.spoj.com/tutorials/USERS/#submit -- "Input and output data used by SPOJ judge to decide whether your solution is correct or not are set by problem-setter (person who adds problems) and are hidden. Many of problems has tricky test data so the ability to form you own and comprehensive test cases is very useful.")
	ankush: 2014-06-26 20:56:46 How can I have the test cases which were given to my program during submission and validation ?
	Mitch Schwartz: 2014-06-26 20:40:48 @Asheesh: Complaining angrily about not knowing how things work on the first day of joining a site isn't what I would call interesting. (1) Python is a slower language. There are several Python3 solvers for this problem, but you may need to pay more attention to optimisation concerns compared with other languages; (2) NZEC in Java should mean an exception was thrown -- an error that could be prevented by careful programming; (3) compilation errors are the easiest for users to diagnose; you can click on "compilation error" and read the error yourself. You can also see the name of the compiler when you submit. It should be no surprise that some compilers behave differently from others.