What is Merge Sort?
- Merge Sort is an algorithm that sorts an array by dividing it in half, sorting each part, and then merging them.
Keywords
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Divide: Split the array into two parts. -
Conquer: Individually sort each part. -
Merge: Combine the sorted parts into a single array. -
Worst-case time complexity: O(nlog n) - Merge Sort takes time proportional to the logarithm of the number of elements, multiplied by the number of elements.
Step-by-step process of Merge Sort
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Divide step: Split the list into two parts. This process continues recursively. -
Conquer step: Individually sort each part. -
Merge step: Merge the sorted subarrays into one array. -
Sorted completion: All subarrays are merged to form a completely sorted array.
Features of the Divide and Conquer Method
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Recursive approach: Breaks down problems into smaller problems and solves them recursively. -
Efficiency: The divide and conquer method is highly efficient for large-scale data.
Lessons in this chapter · Practical Python Algorithms
- 1. Advanced Python Algorithms
- 2. What is a Recursive Call?
- 3. Implementing Fibonacci Sequence with Recursive Function
- 4. Fill-in-the-blank quiz
- 5. Coding Quiz - Fibonacci Sequence
- 6. Dynamic Programming and Divide and Conquer
- 7. Implementing Dynamic Programming in Python
- 8. Multiple-choice quiz
- 9. Coding Quiz - Make One
- 10. What is Merge Sort?
- 11. Implementing Merge Sort
- 12. Multiple-choice quiz
- 13. Coding Quiz - Sort a List Using Merge Sort
- 14. What is Quick Sort?
- 15. Implementing Quick Sort in Python
- 16. Multiple-choice quiz
- 17. Coding Quiz - Sort a List Using Quick Sort
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