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
2018-09-02 17:55:14
naruto17 read question clearly
2018-09-02 07:44:57
A great problem with a variety of test cases , so before careful about all the possibilities.
2018-08-28 07:10:21
getting time exceeded..
2018-08-25 09:27:05
it says time limit exceeded..ran it on ideone.com and total time taken was 0.04s
2018-08-19 22:02:21
for run time errors ;
try this
1
9999999999
ans : 10000000001
u will get the answer surely.
2018-08-04 21:17:51
Check for '9'
Input
9
Output
11
2018-07-15 17:44:49
Do we need to consider -ve numbers as well?
2018-07-15 12:39:04
Run time error in python3 I am defining a function for solving the problem
2018-07-13 16:25:02
pay attention to "K of not more than 1000000 digits"! u can't use a numeric variable to save K, u need a string variable!
2018-07-11 11:19:55
runtime error. i don't understand, with java!!
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