Look at the two functions Merge-and-Count & Sort-and-Count. You are also given an array- Awesome_Array= 3 7 10 14 18 19 2 11

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Look at the two functions Merge-and-Count & Sort-and-Count. You are also given an array-

Awesome_Array= 3 7 10 14 18 19 2 11

 

Merge-and-Count (A, B){

     curA = 0; curB = 0;

     count = 0;

     mergedList = empty list

     while (not at end of A && not at end of B){

            a = A[curA];

            b = B[curB];

            if (a < b)

                append a to mergedList;

                curA++;

            else

                 append b to mergedList;

                 curB++;

                 count = count + number of elements left in A

       }

      if (at end of A)

          append rest of B to mergedList;

      else

           append rest of A to mergedList;

       

     return (count, mergedList);

}

 

 

Sort-and-Count(L){  

       if list L has one element

            return (0, L)

 

       Divide the list into two halves A and B

       (rA, A) ← Sort-and-Count(A)

       (rB, B) ← Sort-and-Count(B)

       (rC, L) ← Merge-and-Count(A, B)

       total_count = rA + rB + rC

       return (total_count, L)

}

Now, answer the questions:

  1. Write down the output values: (total_count & L) for Sort-and-Count(Awesome_Array).
  2. What do you think the returned value of total_count represents? Why?
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