Given an array of length N, starting from 1 to N. At each iteration, you remove all elements at odd positions, until only one element is left. Find the last remaining element.
Example 1:
Input:N = 5Output:4Explanation:Initial Array- {1,2,3,4,5}.
After 1st Iteration- {2,4}.
After 2nd Interation- {4}
Threfore, the answer is 4.
Example 2:
Input:N = 3Output:2Explanation:Initial Array- {1,2,3}.
After 1st Iteration- {2}.
Threfore, the answer is 2.
Your Task:
You don't need to read input or print anything. Your task is to complete the function oddGame() which takes an Integer N as input and returns the last remaining element.
Expected Time Complexity: O(log(N)) Expected Auxiliary Space: O(1)
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Avoid using static/global variables in coding problems as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases in coding problems does not guarantee the
correctness of code. On submission, your code is tested against multiple test cases
consisting of all possible corner cases and stress constraints.
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