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What is the space complexity of Merge Sort?
What is the space complexity of Merge Sort?
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Practice Questions
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Q1
What is the space complexity of Merge Sort?
O(1)
O(n)
O(log n)
O(n log n)
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The space complexity of Merge Sort is O(n) because it requires additional space for the temporary arrays used during merging.
Questions & Step-by-step Solutions
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Q: What is the space complexity of Merge Sort?
Solution:
The space complexity of Merge Sort is O(n) because it requires additional space for the temporary arrays used during merging.
Steps: 5
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Step 1: Understand what space complexity means. Space complexity refers to the amount of memory an algorithm uses in relation to the input size.
Step 2: Know that Merge Sort is a sorting algorithm that divides the array into smaller parts, sorts them, and then merges them back together.
Step 3: Realize that during the merging process, Merge Sort creates temporary arrays to hold the elements being merged.
Step 4: Recognize that the size of these temporary arrays is proportional to the size of the input array (n).
Step 5: Conclude that since the algorithm requires additional space for these temporary arrays, the space complexity of Merge Sort is O(n).
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