Single circular LinkedList - Find intersection point in java



In this Data structures tutorial we will find out intersection point of circular Singly LinkedList in java.




Important methods used to find out intersection point of circular Singly LinkedList in java are as follows>
>findIntersectionPointOfCircularLikedList()


Logic explanation to find out intersection point of circular Singly LinkedList with diagram in java >


Initially, slowPointer and fastPointer will be at meeting point.


>make slowPointer point to first & keep fastPointer on same Point.
>than make slowPointer and fastPointer step over LinkedList by 1 Node.
>they will meet at intersection point(in case if loop is small, continue the process, both pointers will meet after iterating over n number of nodes (equal to distance from first to interscetion point).

Example  to find out intersection point of circular Singly LinkedList in java (considering above diagram)>


NOW WE HAVE TO FIND  MEETING POINT:
slowPointer  (steps 1node)
fastPointer (steps 2node)
start at 11
start at 11
>reaches 22
>reaches 33
>reaches 33
>reaches 55
>reaches 44
>reaches 33
>reaches 55 (meeting point)
>reaches 55 (meeting point)


NOW WE HAVE TO FIND  INTERSECTION POINT:
slowPointer (steps 1node)
fastPointer (now steps 1node)
make it point to first (i.e. 11)
keep it on meeting point ( i.e. 55)
>reaches 22
>reaches 66
>reaches 33 (intersection point)
>reaches 33 (intersection point)

Full Program/SourceCode/Example to find out intersection point of circular Singly LinkedList in java  >
/**
*Node class, which holds data and contains next which points to next Node.
*/
class Node {
   public int data; // data in Node.
   public Node next; // points to next Node in list.
   /**
   * Constructor
   */
   public Node(int data){
          this.data = data;
   }
   /**
   * Display Node's data
   */
   public void displayNode() {
          System.out.print( data + " ");
   }
}
 
 
 
/** Copyright (c), AnkitMittal www.JavaMadeSoEasy.com */
/**
* Singly circular LinkedList class
*/
class LinkedList{
  
   Node first=null;
   Node circularPoint1; //points used to make LinkedList circular.
   Node circularPoint2;
  
   Node slowPointer; //will step over LinkedList by 1 Node.
   Node fastPointer; //will step over LinkedList by 2 Node.
  
   /**
   * Insert New Node at first position
   */
   public void insert(int data){
         
          Node newNode=new Node(data);
          newNode.next=first;
          first=newNode;
         
          /*
          * Below we have kept track of two Nodes so that later we can make LinkedList circular(If required).
          * Note:- I have kept track of below two nodes just for demonstration purpose. You may provide some other implementation for making LinkedList circular.
          */
          if(data==33)
                 circularPoint1=newNode;       
          if(data==66)
                 circularPoint2=newNode;
         
   }
  
   /**
   *This method makes LikedList circular- by making end Node point to some middle Node of LinkedList.
   *end Node--->middle Node.
   */
   public void makeLinkedListCircular(){
          circularPoint2.next=circularPoint1;
          System.out.println("LinkedList has been succesfully converted into CircularLinkedList");
   }
  
   /**
   * method finds out intersection point of circular LikedList.
   */
   public void findIntersectionPointOfCircularLikedList(){
          slowPointer=first;
          fastPointer=first;
         
          while( (slowPointer!=fastPointer || slowPointer==first) //when first time condition is checked    slowPointer is equal to fastPointer -so that does not means LinkedList is circular and we exit while loop
                                                                                     //we got to be cautious by keeping extra check that whether we are on first node or not.
                       && fastPointer.next!=null  //used to avoid NullPointerException(in case we are are on last Node- than next is null, calling further next on null will cause NPE.)
                       && fastPointer.next.next!=null){
                 slowPointer=slowPointer.next;         // step over LinkedList by 1 Node.
                 fastPointer=fastPointer.next.next; // step over LinkedList by 2 Node.   
          }
         
          //we will exit above while loop when we have detected LinkedList is circular
         
         
          /*make one of the pointer point to first, and let other pointer continue to point to same node.
          * Than make both pointers step over LinkedList by 1 Node, they will meet at intersection point.
          */
          slowPointer=first;  
          while(slowPointer!=fastPointer){
                 slowPointer=slowPointer.next; // step over LinkedList by 1 Node.
                 fastPointer=fastPointer.next; // step over LinkedList by 1 Node.
          }
          System.out.println("LinkedList is circular at Node: "+slowPointer.data);
         
   }
  
   /**
   * Display LinkedList
   */
   public void displayLinkedList(){
          Node tempDisplay=first;       
          int displayLimiterCtr=0;   //as our LinkedList is circular it will keep on displaying nodes till infinity...
                                                          //so this variable will help us in limiting the display to specific count.
          System.out.print("Displaying LinkedList [first--->last]: ");
          while(tempDisplay!=null){
                 tempDisplay.displayNode();
                 tempDisplay=tempDisplay.next;
                 if(++displayLimiterCtr >= 12)         //stops displaying after 12 Nodes.
                       break;
          }
          System.out.println();
   }
  
}
 
 
 
/** Copyright (c), AnkitMittal www.JavaMadeSoEasy.com */
/**
*  FindSinglyCircularLinkedListInterscetionPointExample - Main class - To test LinkedList is circular or not.
*/
public class FindCircularSinglyLinkedListInterscetionPointExample {
   public static void main(String[] args) {
         
          LinkedList linkedList=new LinkedList();
          linkedList.insert(66);
          linkedList.insert(55);
          linkedList.insert(44);
          linkedList.insert(33);
          linkedList.insert(22);
          linkedList.insert(11);
         
          linkedList.makeLinkedListCircular();
          linkedList.displayLinkedList();
         
          linkedList.findIntersectionPointOfCircularLikedList();
   }
}
/*OUTPUT
LinkedList has been successfully converted into CircularLinkedList
Displaying LinkedList [first--->last]: 11 22 33 44 55 66 33 44 55 66 33 44
LinkedList is circular at Node: 33
*/

So in this Data structures tutorial we found solution to important java interview question to find out intersection point of circular Singly LinkedList in java.

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