Assume that you are given a procedure MysterySortA which tak

Assume that you are given a procedure Mystery-Sort(A), which takes an array A of length n as input, sorts the numbers in A in non-decreasing order, and returns the sorted array. You do not know whether the algorithm implemented by Mystery-Sort is stable. Dr. Purplesheep needs a procedure that takes an array of n integers (with no assumption on the range or distribution of the integers) and returns the sorted array in non-decreasing order, but she needs the procedure to be stable. To help Dr. Purplesheep, write the pseudo-code of a stable sorting procedure Stable-Sort(A), which pre-processes and/or post-processes the elements in A in O(n) time, makes only one call to Mystery-Sort, and returns the sorted array in non-decreasing order, such that the ordering of identical elements is preserved. (Hint: No comparison is necessary).

Solution

pseudo code for the mystery-sort(A)

function Mystery-Sort( A,n) is

positions<-new array with size n empty lists /// inilitalize the with size n as an empty list

for i=0 to (length(array)-1) do // run the loop for n positions of an array

insesrt array[i] into positions[msbits(array[i],k)] // msbits represent the k most significant bits of value x to insert into i th posisition

for i=0 to n-1 do //insert he elements in a sorting order

nextsort(positions[i]) // sort the element at position i.

return the concatenation of positions[0],positions[1]..................positions[n-1]. // return sorting list

// end of pseuado code for Mystery-Sort

here for he above Mystery sort psuedo code represents

Mystery-sort with array A and size of an array n add the elements in a sorting order without comaprision by considering the k most significant bits of the inserted value into an array with time complexity as O(n) in a non-decreasing order either in pre process or post process of the given elements into an array in a stable manner