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Algorithm

162. Find Peak Element

Description

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.

Solution

class Solution {
    public int findPeakElement(int[] nums) {
        int low = 0;
        int high = nums.length-1;
        while(low<high){
            int mid1 = (low+high)/2;
            int mid2 = mid1+1;
            if(nums[mid1] < nums[mid2]){
                low = mid2;
            }else{
                high = mid1;
            }    
        }
        return low;
    }
}

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