Construct a singly linked list by allocating one node per value and chaining next references. Establishes the node + head + tail model used by every later linked-list lesson.

Algorithm

Basic Implementation

basic.rb
ListNode = Struct.new(:value, :next_idx)

values = [10, 20, 30, 40]
nodes = []
head = -1
tail = -1
i = 0
while i < values.length
	idx = nodes.length
	nodes << ListNode.new(values[i], -1)
	if head == -1
		head = idx
	else
		nodes[tail].next_idx = idx
	end
	tail = idx
	i = i + 1
end
cur = head
while cur != -1
	print "#{nodes[cur].value} -> "
	cur = nodes[cur].next_idx
end
puts "nil"

The canonical values [10, 20, 30, 40] become one node per value. The head pointer names the first node; the tail pointer names the last node appended.

Step 1 - First node

After appending 10, both head and tail point at the same node.

Start of the chain: head and tail both reach node(10).headtailnode(10)null

Step 2 - Append through 30

Each append changes the old tail's next pointer, then moves tail to the new node.

After appending 20 and 30: tail names node(30).headnode(10)node(20)node(30)tailnull

Step 3 - Final chain

Appending 40 gives the lesson's pinned chain: head -> 10 -> 20 -> 30 -> 40 -> null.

Complete linked list for [10, 20, 30, 40].headnode(10)node(20)node(30)node(40)tailnull

Complexity

  • Time: O(n) with a tail pointer
  • Space: O(n) for the chain

Implementation notes

  • Ruby: a tiny ListNode = Struct.new(:value, :next_idx) stored in a plain Array arena. The integer next_idx field with -1 as the sentinel is the explicit "end-of-list" marker and lets the head / tail pointers update the chain without leaning on a recursive class reference graph or Ruby's Object#object_id.
  • The field is named next_idx rather than next because next is a Ruby keyword in iteration blocks; this keeps the struct usable without escaping or shadowing.
  • The replay never shows runtime references; nodes are labelled node(<value>) and the chain view is rendered as 10 -> 20 -> ... -> nil.
  • The arena is collected by Ruby's GC at scope exit, so the build step stays focused on wiring without an explicit free walk.
node chain Each `ListNode` carries an `Integer value` and an `Integer next_idx` into the node arena (`-1` is the end-of-list sentinel).