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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	dusan_1989: 2016-12-01 02:59:36 People always test for number 9. In my case, code was good for 99,999,99999,99999, but when i finally try to input 9, ouput was 10 ,so i solve that problem, and now is accepted. Other thing i want to say to you ,that i found solution for this problem only when i put numbers on paper, and tried to find solution mathematical. Just think in that way, and you are on the right path.
	cnexans: 2016-11-29 16:51:01 @sw3110 If it's slow, it might be wrong. Keep trying!
	m_ashutosh: 2016-11-15 12:38:46 what does it mean from "not more than 1000000 digits"? Do you mean no. of digits of the number is not more than 10^6 or the number is not greater than 10^6??
	sunilkumarc: 2016-11-15 12:38:27 I'm also facing the same issue many people are facing here with Python. I'm sure I have efficient solution. But getting time limit exceeded.
	chaudhary95: 2016-11-14 10:08:38 I am not able to find error [code snipped] Last edit: 2016-11-14 10:21:00
	sw3110: 2016-11-08 03:04:14 Is there something wrong is using Python 3.4. I am absolutely sure that I have an efficient solution(not loops etc) but I am always getting time limit exceeded. Any help is greatly appreciated.
	sw3110: 2016-11-08 02:57:24 time limit is same for all languages?
	sw3110: 2016-11-08 02:46:26 If I am getting 'Time Limit Exceeded' error does that mean my solution was correct but slow? Or it could also mean that its was slow, might be correct or incorrect?
	bin_saurabh: 2016-11-02 13:56:48 can anyone give a hint for this problem?
	sarthak_aws: 2016-10-28 16:22:48 Just compiled and executed the program successfully on ideone.com but get wrong answer here...can someone look into my code and check it whats the problem??