Question

Write the function splitList that takes the first argument list and splits it into two: a list of all the elements that are less than the head (the second argument), and a list of all the elements that are greater than or equal to the head (the third argument): listElementT splitList(listADT list, listADT* ItList, listADT* geList); Note that the head is returned by the function.

a) Write this function as a recursive function.
b) Write this function as a nonrecursive function.

Answer 1

The 'splitList' function can be implemented in both recursive and non-recursive manners. The recursive version calls itself with the rest of the list, and the non-recursive version uses a while loop to iterate through the list, building two lists as it goes.

Step-by-step explanation:

The function splitList divides a given list into two separate lists based on the comparison with the head element. For the recursive approach, the function calls itself with a shorter portion of the list until it has been completely traversed. In the non-recursive approach, a loop is used to iterate through the list and split the elements into the respective lists. Below are examples of both the recursive and non-recursive implementations.

Recursive Function:

listElementT splitList(listADT list, listADT* ltList, listADT* geList) {
if (isEmpty(list)) return NULL; // Base case

listElementT head = head(list);
listElementT rest = tail(list);

if (head(rest) < head) {
insert(ltList, head(rest));
} else {
insert(geList, head(rest));
}
splitList(rest, ltList, geList);
return head;
}

Non-Recursive Function:

listElementT splitList(listADT list, listADT* ltList, listADT* geList) {
if (isEmpty(list)) return NULL;

listElementT head = head(list);
list = tail(list);

while (!isEmpty(list)) {
if (head(list) < head) {
insert(ltList, head(list));
} else {
insert(geList, head(list));
}
list = tail(list);
}
return head;
}