Linked List Cycle

"Algorithms"

Posted by Ping on April 21, 2020

Description

Given a linked list, determine if it has a cycle in it.

To represent a cycle in the given linked list, we use an integer pos which represents the position (0-indexed) in the linked list where tail connects to. If pos is -1, then there is no cycle in the linked list.

Example 1:

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Input: head = [3,2,0,-4], pos = 1
Output: true
Explanation: There is a cycle in the linked list, where tail connects to the second node.

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Example 2:

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Input: head = [1,2], pos = 0
Output: true
Explanation: There is a cycle in the linked list, where tail connects to the first node.

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Example 3:

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Input: head = [1], pos = -1
Output: false
Explanation: There is no cycle in the linked list.

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Approach

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

class Solution:
    def hasCycle(self, head: ListNode) -> bool:
        if head is None or head.next is None:
            return False
        pointer = head
        fasterPointer = head.next
        while pointer != fasterPointer:
            if fasterPointer is None or fasterPointer.next is None:
                return False
            pointer = pointer.next
            fasterPointer = fasterPointer.next.next 
        return True

Beats 86% Python submissions.

The main idea is to use two pointers just like two runners racing, one running slower than the other, for example, one goes 1 step per iteration while the other goes 2 steps, the slower runner would finally