Good evening! Here's our prompt for today.

Given a linked list, can you write a method to get a random node within it? Let's assume you're given a random node generator. The linked list will have at least 2 nodes, and may look something like this:

1 -> 2 -> 3 -> 4

The odds of getting any number between 1 and 4 inclusive should be the exactly the same.

You have access to this definition of a Linked List node:

1function Node(val) {
2  this.val = val;
3  this.next = null;
4}

Constraints

• Length of the linked list <= 10000
• The nodes will always contain integer values between -1000000000 and 1000000000
• Expected time complexity : O(n)
• Expected space complexity : O(n)

Try to solve this here or in Interactive Mode.

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import random

import math

​

​

def fetch_random_node(head):

    # fill in

    return head

​

​

# Node definition

class Node:

    def __init__(self, val):

        self.val = val

        self.next = None

​

​

def create_nodes(head, nodes):

    for val in nodes:

        new_node = Node(val)

        head.next = new_node

        head = new_node

​

​

list1 = Node(3)

nodes1 = [4, 5, 6, 7, 8, 9, 10]

create_nodes(list1, nodes1)

​

list2 = Node(1)

nodes2 = [2, 3, 4, 5, 6, 7, 8]

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