Linked List Cycle II — LeetCode 142 Python Solution

MediumHash TableLinked ListTwo Pointers
Problem
#142
Reading time
3 min

The problem

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

Example

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.

Python solution

Python
# Definition for singly-linked list.
# class ListNode:
#     def __init__(self, x):
#         self.val = x
#         self.next = None


class Solution:
    def detectCycle(self, head: Optional[ListNode]) -> Optional[ListNode]:
        fast = slow = head
        while fast and fast.next:
            slow = slow.next
            fast = fast.next.next
            if slow == fast:
                ans = head
                while ans != slow:
                    ans = ans.next
                    slow = slow.next
                return ans

Complexity

MeasureComplexity
TimeO(n), where n is the number of nodes in the linked list
SpaceO(1) auxiliary

Pattern: Linked List

Rewire pointers in place, with a dummy head and a saved next to keep it safe. LeetCode 142. Linked List Cycle II is filed here because LeetCode tags it Linked List, which is the vocabulary this hub collects.

The linked list guide has the Python template for the pattern and the 75 LeetCode problems that use it.

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Frequently asked questions

How hard is LeetCode 142. Linked List Cycle II?
LeetCode 142. Linked List Cycle II is rated Medium on LeetCode.
What is the time complexity of LeetCode 142. Linked List Cycle II?
The Python solution on this page runs in O(n), where n is the number of nodes in the linked list.
What is the space complexity of LeetCode 142. Linked List Cycle II?
The Python solution on this page uses O(1) auxiliary space.
What topics does LeetCode 142. Linked List Cycle II cover?
LeetCode 142. Linked List Cycle II is tagged Hash Table, Linked List and Two Pointers on LeetCode.

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