Split Singly Circular Linked List | C++ Implementation
Given a Singly Circular Linked List, we have to split it into two equal halves. If the number of nodes in the given list is odd then first list will have one node more than the second list.
Input : { 2, 3, 18, 25, 5 }
Output List 1 : { 2, 3, 18 }
Output List 2 : { 25, 5 }
Here is a meme to understand Circular Linked List
From the above fig. first we have to find middle node of the given singly circular linked list.
Middle node can be found using slow_ptr
and fast_ptr
. slow_ptr
increments by one node whereas fast_ptr
increments by two nodes. When fast_ptr->next == head
or fast_pr->next->next == head
then no increment of fast_ptr
or slow_ptr
and slow_ptr
is at the middle node of the list.
Node *find_middle_node()
{
//slow pointer advances by 1
Node *slow_ptr = head;
//fast pointer advances by 2
Node *fast_ptr = head;
//If odd number of nodes then fast_ptr->next = head
//If even number of nodes then fast_ptr->next->next = head
while(fast_ptr->next != head && fast_ptr->next->next != head)
{
fast_ptr = fast_ptr->next->next;
slow_ptr = slow_ptr->next;
}
return slow_ptr;
}
After getting middle node, the node next to middle node is the head of second ouput list. Then tail of the lists are updated so that circular list is maintained.
void split_list(circular_linked_list<T>& second_half)
{
Node *tail = find_tail_node();
Node *mid = find_middle_node();
second_half.head = mid->next;
tail->next = second_half.head;
mid->next = head;
}
#include <iostream>
#include <utility>
template <class T>
class circular_linked_list
{
struct Node
{
T data;
Node * next;
Node(T&& value) : data(std::move(value)), next(nullptr) {}
};
Node *head;
public:
circular_linked_list() : head(nullptr) {}
//copy constructor
circular_linked_list(const circular_linked_list& cll) = delete;
//move constructor
circular_linked_list(circular_linked_list&& cll) = delete;
//copy assignment
circular_linked_list& operator=(const circular_linked_list& cll) = delete;
//move assignment
circular_linked_list& operator=(circular_linked_list&& cll) = delete;
~circular_linked_list();
void insert_node(T&&);
void split_list(circular_linked_list<T>&);
void print_list();
private:
Node *find_tail_node()
{
Node *tmp = head;
while(tmp->next != head)
{
tmp = tmp->next;
}
return tmp;
}
Node *find_middle_node()
{
//slow pointer advances by 1
Node *slow_ptr = head;
//fast pointer advances by 2
Node *fast_ptr = head;
//If odd number of nodes then fast_ptr->next = head
//If even number of nodes then fast_ptr->next->next = head
while(fast_ptr->next != head && fast_ptr->next->next != head)
{
fast_ptr = fast_ptr->next->next;
slow_ptr = slow_ptr->next;
}
return slow_ptr;
}
};
template <class T>
void circular_linked_list<T>::insert_node(T&& value)
{
Node *node = new Node(std::move(value));
if(head == nullptr)
{
node->next = node;
head = node;
return;
}
Node *tmp = head;
while(tmp->next != head)
{
tmp = tmp->next;
}
tmp->next = node;
node->next = head;
}
template <class T>
void circular_linked_list<T>::split_list(circular_linked_list<T>& second_half)
{
Node *tail = find_tail_node();
Node *mid = find_middle_node();
second_half.head = mid->next;
tail->next = second_half.head;
mid->next = head;
}
template <class T>
void circular_linked_list<T>::print_list()
{
Node *tmp = head;
while(tmp->next != head)
{
std::cout << tmp->data << ' ';
tmp = tmp->next;
}
std::cout << tmp->data << '\n';
}
template <class T>
circular_linked_list<T>::~circular_linked_list()
{
Node *tmp = nullptr;
Node *tail = head;
while(tail->next != head)
{
tail = tail->next;
}
tail->next = nullptr;
while(head != nullptr)
{
tmp = head;
head = head->next;
delete tmp;
}
}
int main()
{
circular_linked_list<int> original_list;
original_list.insert_node(2);
original_list.insert_node(3);
original_list.insert_node(4);
original_list.insert_node(1);
original_list.insert_node(0);
std::cout << "The original list is : ";
original_list.print_list();
circular_linked_list<int> second_half;
original_list.split_list(second_half);
//Original list becomes first half
std::cout << "The first half : ";
original_list.print_list();
std::cout << "The second half : ";
second_half.print_list();
}
View this code on Github
Reference: Introduction to Algorithms The Algorithm Design Manual Data Structures and Algorithms Made Easy