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Construct binary palindrome by repeated appending and trimming
Medium Accuracy: 40.0% Submissions: 5 Points: 4

Given n and k, Construct a palindrome of size n using a binary number of size k repeating itself to wrap into the palindrome. The palindrome must always begin with 1 and contains the maximum number of zeros.
 

Example 1:

​Input : N = 5 and K = 3
Output : 11011
Explanation:
The 3 sized substring is 110 combined 
twice and trimming the extra 0 in the 
end to give 11011.


​Example 2:

Input : N = 2 and  K = 8 
Output :  11 

 

Your Task:
This is a function problem. The input is already taken care of by the driver code. You only need to complete the function binaryPalindrome() that takes two integers N, K and return the output is a palindrome of size N. The driver code takes care of the printing.

Expected Time Complexity: O(N).
Expected Auxiliary Space: O(1).


 

Constraints:
1 ≤ N ≤ 105
1 ≤ K ≤ 105

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Construct binary palindrome by repeated appending and trimming

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