79. Linked List Cycle II

Topic :

linked lists

Difficulty :

easy

Problem Link :


problem statement

Given the head of a linked list, return the node where the cycle begins. If there is no cycle, return null.

There is a cycle in a linked list if there is some node in the list that can be reached again by continuously following the next pointer. Internally, pos is used to denote the index of the node that tail's next pointer is connected to (0-indexed). It is -1 if there is no cycle. Note that pos is not passed as a parameter.

Do not modify the linked list.

Image
Example 1:
Input: head = [3,2,0,-4], pos = 1
Output: tail connects to node index 1
Explanation: There is a cycle in the linked list, 
where tail connects to the second node.
Image
Example 2:
Input: head = [1,2], pos = 0
Output: tail connects to node index 0
Explanation: There is a cycle in the linked list,
where tail connects to the first node.
Image
Input: head = [1], pos = -1
Output: no cycle
Explanation: There is no cycle in the linked list.

Constraints:

  • The number of the nodes in the list is in the range [0, 104].
  • -105 <= Node.val <= 105
  • pos is -1 or a valid index in the linked-list.


solution

import java.io.*;
import java.util.*;
 class Cycle_In_A_LinkedList_II
{
    static class Node{
     int data;
     Node next;
     Node(int data){
      this.data=data;
      this.next=null;
     }
    }
     static Node detectCycle(Node head) {
        if(head==null || head.next==null)
            return null;
        
        Node slow=head;
        Node fast=head;
        
        while(fast.next!=null && fast.next.next!=null)
        {
            slow=slow.next;
            fast=fast.next.next;
            
            if(slow==fast)
            {
                slow=head;
                while(slow!=fast)
                {
                    slow=slow.next;
                    fast=fast.next;
                
                }
                return fast;                
            }
        }
        return null;
    }
     static void display(Node head){
     while(head!=null)
     { System.out.print(head.data+" --> ");
         head=head.next;
        }
        System.out.print("null");
        System.out.println();
    }
    public static void main(String args[]){
     Node head=new Node(1);
     head.next=new Node(2);
     head.next.next=new Node(3);
     head.next.next.next=new Node(4);
     head.next.next.next.next=head.next.next;
     
     System.out.println("The cycle starts at node " + detectCycle(head).data);
     
    }
}
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