35-PeakElement.py

'''
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.

 

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.
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.
 

Constraints:

1 <= nums.length <= 1000
-231 <= nums[i] <= 231 - 1
nums[i] != nums[i + 1] for all valid i.
'''

class Solution:
    def findPeakElement(self, nums: List[int]) -> int:
        lo, hi = 0, len(nums) - 1
        while lo < hi:
            mid = (lo + hi)//2
            if nums[mid] > nums[mid + 1]:
                hi = mid
            else:
                lo = mid + 1
        return lo