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Home » Problems (medium) » The Next Palindrome

The Next Palindrome

Problem code: PALIN

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All submissions for this problem are available.

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. Followed by t lines containing integers K.

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


Date:2008-12-01
Time limit:9s
Source limit:50000B
Languages:All except: PERL6


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HELP

Program should read from standard input and write to standard output.

After you submit a solution you can see your results by clicking on the [My Submissions] tab on the problem page. Below are the possible results:

  • Accepted Your program ran successfully and gave a correct answer. If there is a score for the problem, this will be displayed in parenthesis next to the checkmark.
  • Time Limit Exceeded Your program was compiled successfully, but it didn't stop before time limit. Try optimizing your approach.
  • Wrong Answer Your program compiled and ran succesfully but the output did not match the expected output.
  • Runtime Error Your code compiled and ran but encountered an error. The most common reasons are using too much memory or dividing by zero. For the specific error codes see the help section.
  • Compilation Error Your code was unable to compile. When you see this icon, click on it for more information.

If you are still having problems, see a sample solution here.

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