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Make Palindrome 2 CodeChef Solution

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Make Palindrome 2 CodeChef Solution

Make Palindrome 2 CodeChef Solution

You are given a binary string¬†SS¬†of length¬†NN. You want to obtain a¬†palindrome¬†from¬†SS¬†by applying the following operation¬†at most¬†‚ĆäN2‚Ćč‚ĆäN2‚Ć謆times:

  • Choose an index¬†i(1‚ȧi‚ȧ|S|)i(1‚ȧi‚ȧ|S|), delete the character¬†SiSi¬†from¬†SS¬†and concatenate the remaining parts of the string. Here¬†|S||S|¬†denotes the current length of string¬†SS.

For example, if S=S= 11010, then applying the operation on index i=2i=2 makes S=S= 1010.

Note that after each operation, the length of the string SS decreases by one.

Find any palindrome you can obtain after the operations. It can be proved that it is always possible to obtain a palindrome from SS under the given constraints.

Here,¬†‚ĆäN2‚Ćč‚ĆäN2‚Ć謆denotes¬†floor division¬†of the integer¬†NN¬†by¬†22. For example,¬†‚Ćä52‚Ćč=2‚Ćä52‚Ćč=2,¬†‚Ćä82‚Ćč=4‚Ćä82‚Ćč=4. A binary string is a string that consists of only the characters¬†0¬†and¬†1.

Input Format

  • The first line of input contains an integer¬†TT, denoting the number of test cases. The¬†TT¬†test cases then follow:
  • The first line of each test case contains an integer¬†NN, denoting the length of the binary string¬†SS.
  • The second line of each test case contains the binary string¬†SS.

Output Format

For each test case, print on a separate line¬†any¬†palindromic string that can be obtained from¬†SS¬†by applying the given operation at most¬†‚ĆäN2‚Ćč‚ĆäN2‚Ć謆times.

Make Palindrome 2 CodeChef Solution

Constraints

  • 1‚ȧT‚ȧ10001‚ȧT‚ȧ1000
  • 1‚ȧN‚ȧ1001‚ȧN‚ȧ100
  • SS¬†contains only the characters¬†0¬†and¬†1.

Sample Input 1 

4
3
101
3
001
4
1011
6
010011

Sample Output 1 

101
00
111
1001

Explanation

Make Palindrome 2 CodeChef Solution

Test case 11: The given string is already a palindrome.

Test case 22: Applying the operation on index i=3i=3 makes S=S= 00 which is a palindrome.

Test case 33: Applying the operation on index i=2i=2 makes S=S= 111 which is a palindrome.

Test case 44: Applying the operation on index i=1i=1 makes S=S= 10011. Then applying the operation on index i=5i=5 makes S=S= 1001 which is a palindrome.

SOLUTION

Make Palindrome 2 CodeChef Solution

SOLUTION

Make Palindrome 2 CodeChef Solution

SOLUTION

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