How does the Merge Sort algorithm behave in terms of space complexity?

  • It has a space complexity of O(1) as it sorts the array in place without using additional memory.
  • It has a space complexity of O(log n) because it divides the array into smaller subarrays, reducing memory usage.
  • It has a space complexity of O(n) because it creates a temporary array to hold the merged subarrays.
  • It has a space complexity of O(n^2) due to the need for additional memory for merging subarrays.
Merge Sort has a space complexity of O(n) because it creates a temporary array to hold the merged subarrays during the sorting process. Unlike some other sorting algorithms like Quick Sort, Merge Sort does not use a constant amount of extra memory (O(1)) or divide the memory usage logarithmically (O(log n)).
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