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
earlgreyhot: 2016-05-11 22:25:19

If you use recursion you will get NZEC (in python at least)

boney_412: 2016-05-10 20:22:01

Can anyone tell me how to rectify NZEC runtime
error?

palash_123: 2016-05-09 14:00:37

I'm unable to get the output to thi question.
can anyone help me out with this. I'll send my code.

roisym: 2016-05-04 14:40:58

This is a great problem! I'm a beginner (this is my 10th day learning programing from nothing). It took me many tries but finally got accepted(c#). Tips for beginners like myself (POSSIBLE SPOILER ALERT):
1. No language can hold a 1000K digit number as a integer - you cannot work with ints and need to come up with some other mean to work with these numbers
2. For this reason, brute force (which i myself submitted like 5 times - stupid!) will never work
3. Remember the palindrome you come up with needs to be LARGER than the input number
4. Once you have it, check for all the tricky numbers: one digit numbers, 99, 12322, 898 and other that ppl have pasted in here
5. Be sure to optimize your program as much as possible
6. Keep trying :-)

subham92: 2016-04-27 14:06:43

time limit exceeded :( But it takes only 0.2 secs in ideone

starun8795: 2016-04-18 17:45:12

Hrithik, you can use a static array to handle big numbers in c/c++.

hrithik_sethia: 2016-04-18 07:42:54

how can we make any code to work for large input numbers ?? in cpp

q1_hoanglong: 2016-04-16 11:53:27

have everyone tried test inp 999 out 1001

manish3749: 2016-04-12 16:39:02

i have taken more than 100 test cases ..all of them paased but here it is showing wronf answer

ign_unnamed1: 2016-04-06 12:50:57

what does this error code mean "runtime error (NZEC)" . My code is working on "ideone" but not here. i have written my code in c#.
also what does this mean" positive integer K of not more than 1000000 digits" what is maxm value of K?


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