Question

Give a recursive version of the algorithm Insertion-Sort (refer to page 18 in the textbook) that works as follows: To sort A[1..n], we sort A[1..n − 1] recursively and then insert A[n] in its appropriate position. Write a pseudocode for this recursive version of InsertionSort and analyze its running time by giving a recurrence relation and solving it

Answer 1

Answer:

see explaination

Explanation:

void insertion( int e,int *x, int start, int end)

{

if (e >= x[end])

x[end+1] = e;

else if (start < end)

{

x[end+1] = x[end];

insertion(e, x, start, end-1);

}

else

{

x[end+1] = x[end];

x[end] = e;

}

}

void insertion_recurssion(int *b, int start, int end)

{

if(start < end)

{

insertion_sort_recur(b, start, end-1);

insertion(b[end], b, start, end-1);

}

}

void main()

{

insertion_recurssion(x,0,5);

}