easyArraySimulation 0 views

Min Max Game

You are given a 0-indexed integer array nums whose length is a power of 2.

You are given a 0-indexed integer array nums whose length is a power of 2.

Apply the following algorithm on nums:

Return the last number that remains in nums after applying the algorithm.

Min Max Game diagram

Example 1

Input: nums = [1,3,5,2,4,8,2,2]

Output: 1

Explanation: The following arrays are the results of applying the algorithm repeatedly. First: nums = [1,5,4,2] Second: nums = [1,4] Third: nums = [1] 1 is the last remaining number, so we return 1.

Example 2

Input: nums = [3]

Output: 3

Explanation: 3 is already the last remaining number, so we return 3.

Constraints

  • 1 <= nums.length <= 1024
  • 1 <= nums[i] <= 10^9
  • nums.length is a power of 2.

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