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Problem 10: Peak Mountaineer

Problem Statement

A peak element is an element that is strictly greater than its neighbors. Given an integer array nums, find a peak element, and return its index. If the array contains multiple peaks, return the index to any of the peaks. You may imagine that nums[-1] = nums[n] = -∞. You must write an algorithm that runs in O(log N) time.

Input Format

  • An array of integers nums.

Output Format

  • An integer representing the index of any peak element.

Constraints

  • 1 <= nums.length <= 1000
  • -2^31 <= nums[i] <= 2^31 - 1
  • nums[i] != nums[i + 1] for all valid i.

Example

Input: nums = [1, 2, 1, 3, 5, 6, 4]
Output: 5
Explanation: Your function can return either index 1 where the peak element is 2, or index 5 where the peak element is 6.