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A cache aware sorting algorithm sorts an array of size 2k with each key of size 4 Bytes. The size of the cache memory is 128 Bytes and algorithm is the combination of merge sort and insertion sort to exploit the locality of reference for the cache memory(i.e. will use insertion sort when problem size equals cache memory).
Worst case running time of the algorithm is:
  • a)
  • b)
  • c)
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A cache aware sorting algorithm sorts an array of size2kwith each key ...
It will use merge sort at upper level and when size of the subarray will reach the size of the cache memory if will start to use Insertion sort,
∵ cache can hold 32 keys
∴ Merge sort in worst case will take time = height × number of elements in the array
= log2(k-5)× 2k
After that insertion sort will take (25)for each node
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A cache aware sorting algorithm sorts an array of size2kwith each key of size 4 Bytes. The size of the cache memory is 128 Bytes and algorithm is the combination of merge sort and insertion sort to exploit the locality of reference for the cache memory(i.e. will use insertion sort when problem size equals cache memory).Worst case running time of the algorithm is:a)b)c)d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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