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162. Find Peak Element

MediumOpen on LeetCodeProblem statement

Problem Statement

162. Find Peak Element

Medium


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.

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:

Java

Source file
class Solution {
    public int findPeakElement(int[] nums) {
        int n = nums.length, lt = 0, rt = n - 1;
        while (lt < rt) {
            int mid = lt + (rt - lt) / 2;
            if (nums[mid] < nums[mid + 1])
                lt = mid + 1;
            else
                rt = mid;
        }
        return rt;
    }
}