Linked Structures
Reverse a Singly Linked List
Walk the list with three pointers: prev, cursor, and next. Each
iteration saves cursor.next, re-points cursor.next backward to
prev, then advances prev = cursor; cursor = next.
Algorithm
Canonical input 1 -> 2 -> 3 -> 4 -> 5 -> nil reverses to
5 -> 4 -> 3 -> 2 -> 1 -> nil after five rewire frames.
Basic Implementation
basic.swift
struct ListNode {
var value: Int
var next: Int
}
func addNode(_ nodes: inout [ListNode], _ value: Int, _ next: Int) -> Int {
let idx = nodes.count
nodes.append(ListNode(value: value, next: next))
return idx
}
var nodes: [ListNode] = []
let n5 = addNode(&nodes, 5, -1)
let n4 = addNode(&nodes, 4, n5)
let n3 = addNode(&nodes, 3, n4)
let n2 = addNode(&nodes, 2, n3)
var head = addNode(&nodes, 1, n2)
var prev = -1
var cursor = head
while cursor != -1 {
let next = nodes[cursor].next
nodes[cursor].next = prev
prev = cursor
cursor = next
}
head = prev
var cur = head
while cur != -1 {
print("\(nodes[cur].value) -> ", terminator: "")
cur = nodes[cur].next
}
print("nil")
Complexity
- Time: O(n)
- Space: O(1)
Implementation notes
- Swift: same three-pointer pattern as the other languages, but each
pointer is an
Intindex into thevar nodes: [ListNode]arena (-1is the sentinel). The arena avoids theListNode?ownership dance the classic reference idiom requires while keeping the algorithm visible. head = prevat the end re-points the head at the old tail; the arena keeps every node alive throughout the reversal.- The replay shows all three pointers each frame and a distinct
rewire frame between save and advance, with
node(<value>)labels instead of runtime references.
three pointers
`prev` starts `-1`, `cursor` starts at `head`, `next` is the saved forward link.
rewire
The rewire frame flips `cursor.next` from forward (toward `next`) to backward (toward `prev`).