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Self Organizing List : Count Method

Self Organizing list is a list that re-organizes or re-arranges itself for better performance. In a simple list, an item to be searched is looked for in a sequential manner which gives the time complexity of O(n). But in real scenario not all the items are searched frequently and most of the time only few items are searched multiple times. 

So, a self organizing list uses this property (also known as locality of reference) that brings the most frequent used items at the head of the list. This increases the probability of finding the item at the start of the list and those elements which are rarely used are pushed to the back of the list. 

In Count Method, the number of time each node is searched for is counted (i.e. the frequency of search is maintained). So an extra storage is associated with each node that is incremented every time a node is searched. And then the nodes are arranged in non-increasing order of count or frequency of its searches. So this ensures that the most frequently accessed node is kept at the head of the list. 

Examples:

Input : list : 1, 2, 3, 4, 5
        searched : 4 
Output : list : 4, 1, 2, 3, 5

Input : list : 4, 1, 2, 3, 5
        searched : 5
        searched : 5
        searched : 2
Output : list : 5, 2, 4, 1, 3
Explanation : 5 is searched 2 times (i.e. the 
most searched) 2 is searched 1 time and 4 is 
also searched 1 time (but since 2 is searched 
recently, it is kept ahead of 4) rest are not 
searched, so they maintained order in which
they were inserted.

Implementation:

CPP




// CPP Program to implement self-organizing list
// using count method
#include <iostream>
using namespace std;
 
// structure for self organizing list
struct self_list {
    int value;
    int count;
    struct self_list* next;
};
 
// head and rear pointing to start and end of list resp.
self_list *head = NULL, *rear = NULL;
 
// function to insert an element
void insert_self_list(int number)
{
    // creating a node
    self_list* temp = (self_list*)malloc(sizeof(self_list));
 
    // assigning value to the created node;
    temp->value = number;
    temp->count = 0;
    temp->next = NULL;
 
    // first element of list
    if (head == NULL)
        head = rear = temp;
 
    // rest elements of list
    else {
        rear->next = temp;
        rear = temp;
    }
}
 
// function to search the key in list
// and re-arrange self-organizing list
bool search_self_list(int key)
{
    // pointer to current node
    self_list* current = head;
 
    // pointer to previous node
    self_list* prev = NULL;
 
    // searching for the key
    while (current != NULL) {
 
        // if key is found
        if (current->value == key) {
 
            // increment the count of node
            current->count = current->count + 1;
 
            // if it is not the first element
            if (current != head) {
                self_list* temp = head;
                self_list* temp_prev = NULL;
 
                // finding the place to arrange the searched node
                while (current->count < temp->count) {
                    temp_prev = temp;
                    temp = temp->next;
                }
 
                // if the place is other than its own place
                if (current != temp) {
                    prev->next = current->next;
                    current->next = temp;
 
                    // if it is to be placed at beginning
                    if (temp == head)
                        head = current;
                    else
                        temp_prev->next = current;
                }
            }
            return true;
        }
        prev = current;
        current = current->next;
    }
    return false;
}
 
// function to display the list
void display()
{
    if (head == NULL) {
        cout << "List is empty" << endl;
        return;
    }
 
    // temporary pointer pointing to head
    self_list* temp = head;
    cout << "List: ";
 
    // sequentially displaying nodes
    while (temp != NULL) {
        cout << temp->value << "(" << temp->count << ")";
        if (temp->next != NULL)
            cout << " --> ";
 
        // incrementing node pointer.
        temp = temp->next;
    }
    cout << endl
        << endl;
}
 
// Driver Code
int main()
{
    /* inserting five values */
    insert_self_list(1);
    insert_self_list(2);
    insert_self_list(3);
    insert_self_list(4);
    insert_self_list(5);
 
    // Display the list
    display();
 
    search_self_list(4);
    search_self_list(2);
    display();
 
    search_self_list(4);
    search_self_list(4);
    search_self_list(5);
    display();
 
    search_self_list(5);
    search_self_list(2);
    search_self_list(2);
    search_self_list(2);
    display();
    return 0;
}


Python3




# Python3 Program to implement self-organizing list
# using count method
 
# self organize list class
class self_organize_list(object):
  # default constructor
  def __init__(self):
    self.__list = list()
    self.__size = 0
   
  # constructor to initialize list
  def __init__(self, lst):
    self.__list = [ [x, 0] for x in lst ]
    self.__size = len(lst)
 
  # method to display the list
  def display(self):
    print(self.__list)
 
  # method to search key in list
  def search(self, key):
    index = -1
    # find key in search organize list
    for i in range(self.__size):
      if self.__list[i][0] == key:
        index = i
        break
         
    # check if key found
    if index == -1:
      return False
    # Increment the frequency of key
    self.__list[index][1] = self.__list[index][1] + 1
    # finding new position for the key
    new_pos = index
    for i in range(index-1, -1, -1):
      if self.__list[index][1] >= self.__list[i][1]:
        new_pos = i
    # Inserting the key in new position
    bkp = self.__list[index]
    self.__list.pop(index)
    self.__list.insert(new_pos, bkp)
    return True
     
  # method to insert key in self organize list
  def insert(self, key):
    self.__list.append([key, 0])
    self.__size = self.__size + 1
 
if __name__ == "__main__":
  # initial list of four elements
  lst = [1, 2, 3, 4]
  sol = self_organize_list(lst)
   
  # inserting new element and display
  sol.insert(5)
  sol.display()
 
  # sequence of search and display
  sol.search(4)
  sol.search(2)
  sol.display()
 
  # sequence of search and display
  sol.search(4)
  sol.search(4)
  sol.search(5)
  sol.display()
 
  # sequence of search and display
  sol.search(5)
  sol.search(2)
  sol.search(2)
  sol.search(2)
  sol.display()


Output

List: 1(0) --> 2(0) --> 3(0) --> 4(0) --> 5(0)

List: 2(1) --> 4(1) --> 1(0) --> 3(0) --> 5(0)

List: 4(3) --> 5(1) --> 2(1) --> 1(0) --> 3(0)

List: 2(4) --> 4(3) --> 5(2) --> 1(0) --> 3(0)

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