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
-
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
-
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
-
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.
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