Tags

  • AWS (7)
  • Apigee (3)
  • ArchLinux (5)
  • Array (6)
  • Backtracking (6)
  • BinarySearch (6)
  • C++ (19)
  • CI&CD (3)
  • Calculus (2)
  • DesignPattern (43)
  • DisasterRecovery (1)
  • Docker (8)
  • DynamicProgramming (20)
  • FileSystem (11)
  • Frontend (2)
  • FunctionalProgramming (1)
  • GCP (1)
  • Gentoo (6)
  • Git (15)
  • Golang (1)
  • Graph (10)
  • GraphQL (1)
  • Hardware (1)
  • Hash (1)
  • Kafka (1)
  • LinkedList (13)
  • Linux (27)
  • Lodash (2)
  • MacOS (3)
  • Makefile (1)
  • Map (5)
  • MathHistory (1)
  • MySQL (21)
  • Neovim (10)
  • Network (66)
  • Nginx (6)
  • Node.js (33)
  • OpenGL (6)
  • PriorityQueue (1)
  • ProgrammingLanguage (9)
  • Python (10)
  • RealAnalysis (20)
  • Recursion (3)
  • Redis (1)
  • RegularExpression (1)
  • Ruby (19)
  • SQLite (1)
  • Sentry (3)
  • Set (4)
  • Shell (3)
  • SoftwareEngineering (12)
  • Sorting (2)
  • Stack (4)
  • String (2)
  • SystemDesign (13)
  • Terraform (2)
  • Tree (24)
  • Trie (2)
  • TwoPointers (16)
  • TypeScript (3)
  • Ubuntu (4)
  • Home

    [LeetCode 162] Find Peak Element

    Published May 15, 2022 [  BinarySearch  ]

    Problem

    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
    • -2^31 <= nums[i] <= 2^31 - 1
    • nums[i] != nums[i + 1] for all valid i.

    Thoughts

    • Try binary search?
    • Draw a graph for the array?

    TypeScript

    function findPeakElement(nums: number[]): number {
        let l: number = 0, r = nums.length - 1;
        
        while(l < r){
            let mid: number = Math.floor((l + r)/2);
        
            // we are in decreasing line
            if(nums[mid] > nums[mid + 1]){
                r = mid
            } else {
                l = mid + 1
            }
        }
        return l
    };
    

    Reference