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
2017-11-18 17:52:17
in my ide, i get the correct answer against every possible test case, but here, why does it show wrong answer?
2017-11-08 20:51:02
My code exceeded the time limit. Does that imply there would be any redundancy in my code ?
2017-10-31 14:57:27
use string not integer, refer to geeks for geeks article for next palindrome, don't forget to include case 0000000 and 000000xxxx where xxx can be any number. goodluck :)
2017-10-30 14:22:55
there are no cases like 001 .. so dont worry.. i've submitted without even checking them
2017-10-26 17:18:03
a small mistake can waste your 3 hours ;-| every thing is mentioned in this question and end line is important
2017-10-26 07:29:50
Why is it showing compilation error? When I run the same code on my computer, it works perfectly.
2017-10-19 15:41:48
Theoden's test cases are recommended, plus "23726 -> 23732" (this case took me a lot of time to figure out)
2017-10-07 15:24:44
000 gives 010 as output...huh..this is bad
2017-10-05 14:15:12
Remember to check 0/000002133000/9/
2017-10-05 02:36:28 Nguyễn Hoàng Nam
@prashant23: it just means you haven't checked deep enough. There can be really odd numbers which will cause really odd interaction. The example given by @theoden91 is a good one, try that.
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