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    ← DSA Roadmap
    πŸ”
    Topic #9

    Sorting & Searching

    Sorting algorithms and binary search variations β€” fundamental to efficient problem solving.

    Time

    Binary Search: O(log n), Merge Sort: O(n log n)

    Space

    Merge Sort: O(n), Quick Sort: O(log n)

    Problems

    4 must-do

    Key Patterns

    Binary Search on Answer
    Binary Search on Rotated Array
    Quick Select
    Counting Sort
    Custom Comparators

    πŸ“‹ Must-Do Problems

    #ProblemDifficultyAsked At
    1Binary Search
    Easy
    Google
    Amazon
    Microsoft
    2Search in Rotated Sorted Array
    Medium
    Google
    Amazon
    Meta
    3Kth Largest Element (Quick Select)
    Medium
    Google
    Meta
    Amazon
    4Median of Two Sorted Arrays
    Hard
    Google
    Amazon
    Microsoft

    πŸ’‘ Key Concepts

    1.

    Binary search works on any monotonic function, not just sorted arrays

    2.

    "Binary search on answer": when you can't search the array directly but can verify if a value works

    3.

    Merge Sort is stable, Quick Sort is not

    4.

    For Top K problems: use a min-heap of size K for O(n log k)

    Continue Practicing

    DSA Roadmap DSA Interview Q&A Practice Games