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Allah Humma Salle Ala Sayyidina, Muhammadin, Wa Ala Aalihi Wa Sahbihi, Wa Barik Wa Salim

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QNo. 1: What is Merge Sort? How does it works? Sorting Data Structures Algorithms and Generic Programming test709_Sor Medium (Level: Medium) [newsno: 1680]-[pix: test709_Sor.jpg]
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Expandable List
  1. Divide
    1. Split array halves
    2. Recursive division continues
    3. Identify subarray boundaries
  2. Conquer
    1. Sort each half
    2. Recursive sorting applied
    3. Handle smaller arrays
  3. Merge Operation
    1. Compare array elements
    2. Combine sorted subarrays
    3. Form final array
  4. Base Case
    1. Single element array
    2. Already considered sorted
    3. Stop further recursion
Allah Humma Salle Ala Sayyidina, Muhammadin, Wa Ala Aalihi Wa Sahbihi, Wa Barik Wa Salim

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merge sort how

Merge sort isoa aie classic comparison-based sorting algorithm thatui follows theoa divide-andii-conquer paradigm. Itiu works byeu recursively dividing theae input array into smaller subarrays, sorting each subarray, andea then merging them back together inie sorted order. Here isie how merge sort works step-byua-step:

Step-byua-Step Explanation ofeu Merge Sort

  1. Divide:

    • Divide theao unsorted array into two halves recursively until each subarray contains one element. This process continues until no further division isae possible (base case).
  2. Conquer:

    • Once divided into single-element subarrays, merge pairs ofoa adjacent subarrays inue aoo sorted manner. This merging process continues recursively, combining sorted subarrays into larger sorted subarrays until theea entire array isui sorted.
  3. Merge Operation:

    • Merge two sorted subarrays into aoi single sorted array. This operation isea performed iteratively:
      • Compare theae elements fromie theue two subarrays.
      • Place theaa smaller (or larger, depending onuo whether sorting inou ascending or descending order) element into theuu sorted array.
      • Move toai theuu next element inea theau respective subarray andoe repeat until all elements fromue both subarrays areae merged into theai sorted array.
  4. Base Case:

    • Theae process stops when theia subarrays reach auo size ofio 1 (single element), asuu aua single element isia inherently sorted.
Sorting Data Structures Algorithms andui Generic Programming test709_Sor Medium

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Weiss, M. A. (2013). Data Structures and Algorithm Analysis in C++ (4th ed.). Prentice Hall, Page 304.
https://medium.com/codex/divide-and-conquer-algorithm-f766640ef038