PALIN - The Next Palindrome

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


Added by:adrian
Date:2004-05-01
Time limit:2s-9s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6

hide comments
2017-08-30 22:25:48
AC in 3rd Go. :) Nice Problem. Be Careful with Number 9. :p Actually a String problem not an integer.
2017-08-20 20:16:01
do we need to test for the negitive numbers???
2017-08-19 16:07:33
i m giving output in prescribed format and also getting the correct answer but unable to submit.is there any extreme case to be checked.
2017-08-16 09:50:18 Sebastian Ceronik
Anyone else expiriencing problem with WA ? I mean I pass tests according to spojtoolkit. but get wrong answer :/
toolkit say that 001 supposed to be 010... what is up with this leading zeros that supposed to be ommited then ?
tried both cases while submiting solution but no success in that . am I missing something ? some more test cases could be usefull maby ..
2017-07-15 18:35:51
hey i am using string to store large numbers then incrementing by 1
and checking if the reverse of the string matches
is it correct way?
2017-07-14 00:00:37
if(problem==TLE) http://www.geeksforgeeks.org/?p=23497
if(problem==WA) Read this carefully "For a given positive integer K of not more than 1000000 digits"
means that the number can be of 1000000 digits which cannot be stored in any data type.
Some Important Test Cases
Input
0
1
001
9
999

Output
1
2
2
11
1001
Thank me later
2017-07-11 11:52:42
My code is running without any tle in ideone with time limit as 5s but giving tle in spoj...


Last edit: 2017-07-18 10:08:15
2017-07-10 03:47:05 Kraken
Test case of @manmeet_rana works for me
2017-07-06 06:54:06
nice problem!!
2017-07-04 08:02:34
guys consider test cases like 999
output: 1001
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