Algorithm


Problem Name: 142. Linked List Cycle II

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.

 

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.

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.

Example 3:

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.

Code Examples

#1 Code Example with C Programming

Code - C Programming


struct ListNode *detectCycle(struct ListNode *head) {
    struct ListNode *n, *nn;
    
    if (!head) return NULL;
    
    n = nn = head;
    do {
       n = n->next;           // one step
       nn = nn->next;
       if (nn) nn = nn->next;  // two steps
    } while (nn && n != nn);
    
    if (!nn) return NULL;
    

    // there is a cycle
    n = head;
    while (n != nn) {
       n = n->next;
       nn = nn->next;
    }
    
    return n;
}
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Input

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head = [3,2,0,-4], pos = 1

Output

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tail connects to node index 1

#2 Code Example with C++ Programming

Code - C++ Programming


class Solution {
public:
    ListNode *detectCycle(ListNode *head) {
        auto one = head, two = head, meet = head;
        while(two && two->next){
            one = one->next;
            two = two->next->next;
            if(one == two){
                meet = one;
                break;
            }
        }
        if(!two || !two->next) return NULL;
        auto p = head;
        while(p != meet){
            p = p->next;
            meet = meet->next;
        }
        return p;
    }
};
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Input

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head = [3,2,0,-4], pos = 1

Output

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tail connects to node index 1

#3 Code Example with Java Programming

Code - Java Programming


public class Solution {
  public ListNode detectCycle(ListNode head) {
    ListNode fast = head;
    ListNode slow = head;
    while (fast != null && fast.next != null) {
      slow = slow.next;
      fast = fast.next.next;
      if (slow == fast) {
        break;
      }
    }
    if (fast == null || fast.next == null) {
      return null;
    }
    slow = head;
    while (slow != fast) {
      slow = slow.next;
      fast = fast.next;
    }
    return slow;
  }
}
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Input

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head = [1,2], pos = 0

Output

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tail connects to node index 0

#4 Code Example with Javascript Programming

Code - Javascript Programming


const detectCycle = function(head) {
  if(head === null || head.next === null) return null
  let fast = head
  let slow = head
  let start = head
  while(fast !== null && fast.next !== null) {
    fast = fast.next.next
    slow = slow.next
    if(fast === slow) {
       while(slow !== start) {
         slow = slow.next
         start = start.next
       }
       return start
    }
  }
  return null
};
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Input

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head = [1,2], pos = 0

Output

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tail connects to node index 0

#5 Code Example with Python Programming

Code - Python Programming


class Solution:
    def detectCycle(self, head: ListNode) -> ListNode:
        fast = slow = root = head
        while fast and fast.next:
            slow = slow.next
            fast = fast.next.next
            if slow == fast:
                while root != slow:
                    root = root.next
                    slow = slow.next
                return root
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Input

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head = [1], pos = -1

Output

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no cycle
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