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


hide comments
piyushonkar: 2018-07-02 09:40:38

It is showing correct output for 99 and 999. But when I submit the solutuion it says wrong answer. Can someone post the good test cases? Thank You in advance.

wrzoboo: 2018-06-22 16:44:31

@badman98 you want to avoid using int(hugenumber) and try the approach of int(hugenumber[-1]), think about how addition works in principle, replacing some substring (of length much lower than the entire string which shortens the execution) with some other substring. I hope you'll figure this out :).
example:
100+1 means look at last digit of 100 and change it to the next digit (0 -> 1 in this case)
watch out for '9' being that last digit though ;)

badman98: 2018-06-15 11:32:51

@wrzoboo what do u mean by writing own custom function to add 1 how else we can do it without converting string to integer

kieukhanhmta: 2018-06-10 08:38:06

Hi all!
I wrote by C#.
I ran it on Visual and ideone.com was correct.
But in here, it was runtime error NZEC
Please Help me.

sonuexpc: 2018-06-09 14:45:21

AC in second go...

no_name_123: 2018-06-05 21:50:39

esf

Simes: 2018-05-31 07:54:21

@vritta and @vivek_dwivedi - I tested whether there are any numbers with a leading zero, and there aren't any, not even zero itself.

vritta: 2018-05-31 06:19:02

Thanks Vivek, have been stuck on that problem for days. Now I know it's their fault.

vivek_dwivedi: 2018-05-30 04:40:06

very good problem ! total shit test cases even admin don't know that 0 is not a positive no.
and how the answer for 000 can be 010 it should be 1 wasted a lot of time . Totally frustrating

baddu609: 2018-05-27 14:44:10

Check Output for 99 and 999 also! They can be the border case if logic was similar to mine.


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

Problem's scores 1 vote

Concept difficulty
Concept difficulty 37%
Implementation difficulty
Implementation difficulty 50%
467 16