Find Peak Element
Difficulty: Medium
Category: DSA
Topics: Array, Binary Search
Asked at: Facebook, Amazon, Google, Bloomberg, Quora
A peak element is an element that is strictly greater than its neighbors.
Given a **0-indexed** 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] = -∞`. In other words, an element is always considered to be strictly greater than a neighbor that is outside the array.
You must write an algorithm that runs in `O(log n)` time.
**Example 1:**
**Input:** nums = [1,2,3,1]
**Output:** 2
**Explanation:** 3 is a peak element and your function should return the index number 2.
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**Example 2:**
**Input:** nums = [1,2,1,3,5,6,4]
**Output:** 5
**Explanation:** Your function can return either index number 1 where the peak element is 2, or index number 5 where the peak element is 6.
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**Constraints:**
- `1 <= nums.length <= 1000`
- `-231 <= nums[i] <= 231 - 1`
- `nums[i] != nums[i + 1]` for all valid `i`.