Suppose we want to modify QUICK SORT as follows and let us call it the MODIFIED QUICK SORT. The MODIFIED QUICK SORT is the same as the original QUICK SORT except that it stops recursively calling itself once, the size of its input arrays becomes ⌊√n⌋, where n is the size of its inputs. At this time, it sorts the input array (whose size is approximately √n) using HEAP SORT. In other words, the MODIFIED QUICK SORT switches from QUICK SORT to HEAP SORT once the size of its input arrays become ⌊√n⌋. Present a neat analysis for the running time of the MODIFIED QUICK SORT in the best-case, assuming its inputs are arrays of size n. Please do fast asap

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