162. Find peak element

A peak element is an element that is greater than its neighbors. Given an input array nums, where nums[i] ≠ nums[i+1], find a peak element and return its index. The array may contain multiple peaks, in that case return the index to any one of the peaks is fine. You may imagine that nums[-1] = nums[n] = -∞. 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.

class Solution:
    def findPeakElement(self, nums):
        left, right = 0, len(nums)-1

        while left < right:
            mid = (left+right)//2
            if nums[mid] > nums[mid+1] and nums[mid] > nums[mid-1]:
                return mid
                
            if nums[mid] < nums[mid+1]:
                left = mid+1
            else:
                right = mid-1
               
        return left # or right

Don’t compare nums[mid] and nums[mid-1], as mid - 1 can becomes wired. but mid+1 will always be valid, it’s right when they two pointers meet each other.

Based on template 1, need to make sure left < right instead of <=, for the one element situation. otherwise mid+1 is invalid

when left == right, jump out of while loop. so can return any of them