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DSA Goprogramming~10 mins

Doubly Linked List Structure and Node Design in DSA Go - Execution Trace

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Concept Flow - Doubly Linked List Structure and Node Design
Create new node
↓
Set node.data, node.prev = nil, node.next = nil
↓
If list empty?
↓
Set head = node
↓
Set last_node.next = node
↓
Set node.prev = last_node
↓
Done
Shows how a new node is created with data and pointers, then added to an empty or non-empty doubly linked list.
Execution Sample
DSA Go
type Node struct {
  data int
  prev *Node
  next *Node
}

type DoublyLinkedList struct {
  head *Node
}

func (dll *DoublyLinkedList) Add(data int) {
  node := &Node{data: data, prev: nil, next: nil}
  if dll.head == nil {
    dll.head = node
    return
  }
  current := dll.head
  for current.next != nil {
    current = current.next
  }
  current.next = node
  node.prev = current
}

// Example:
// dll := &DoublyLinkedList{}
// dll.Add(5)
// dll.Add(10)
Defines Node struct and DoublyLinkedList with Add method to append a new node (e.g., data 5 then 10) to the end.
Execution Table
StepOperationNodes in ListPointer ChangesVisual State
1Create new node with data=5Nonenode.prev = nil, node.next = nilnil <- [5] -> nil
2List empty? Yes, set head = node[5]head -> nodenil <- [5] -> nil
3Create new node with data=10[5]node.prev = nil, node.next = nilnil <- [5] -> nil, nil <- [10] -> nil
4List empty? No, traverse to last node (5)[5]current = node with data 5nil <- [5] -> nil, nil <- [10] -> nil
5Set last_node.next = new node (10)[5, 10]5.next -> 10nil <- [5] <-> [10] -> nil
6Set new node.prev = last_node (5)[5, 10]10.prev -> 5nil <- [5] <-> [10] -> nil
7Done[5, 10]head -> 5, 5.next -> 10, 10.prev -> 5nil <- [5] <-> [10] -> nil
💡 No more nodes to add, list updated with two nodes linked both ways.
Variable Tracker
VariableStartAfter Step 1After Step 2After Step 3After Step 4After Step 5After Step 6Final
node (new)nildata=5, prev=nil, next=nildata=5, prev=nil, next=nildata=10, prev=nil, next=nildata=10, prev=nil, next=nildata=10, prev=nil, next=nildata=10, prev=5, next=nildata=10, prev=5, next=nil
headnilnilpoints to node with data=5points to node with data=5points to node with data=5points to node with data=5points to node with data=5points to node with data=5
currentnilnilnilnilpoints to node with data=5points to node with data=5points to node with data=5points to node with data=5
Key Moments - 3 Insights
Why do we set both prev and next pointers when adding a new node?
Because doubly linked lists link nodes in both directions, setting prev and next ensures we can move forward and backward. See steps 5 and 6 in execution_table where 5.next and 10.prev are set.
What happens if the list is empty when adding the first node?
The new node becomes the head with prev and next as nil, as shown in step 2 where head points to the new node with data 5.
Why do we traverse to the last node before adding a new node?
Because the new node is added at the end, we must find the last node to link it properly. Step 4 shows traversal to node with data 5 before linking.
Visual Quiz - 3 Questions
Test your understanding
Look at the execution_table at step 5, what pointer change happens?
A5.next points to node with data 10
B10.prev points to node with data 5
Chead points to node with data 10
Dnode with data 5.prev points to node with data 10
💡 Hint
Check the 'Pointer Changes' column at step 5 in execution_table.
At which step does the list change from empty to having one node?
AStep 3
BStep 1
CStep 2
DStep 4
💡 Hint
Look at the 'Nodes in List' column and when head is assigned in execution_table.
If we forget to set node.prev when adding a new node, what would be the visual effect?
AThe list would have cycles
BThe list would be singly linked forward only
CThe head would be lost
DThe new node would not be linked at all
💡 Hint
Refer to the 'Visual State' column after step 6 and think about missing backward links.
Concept Snapshot
Doubly Linked List Node:
- Has data, prev pointer, next pointer
- prev points to previous node or nil
- next points to next node or nil
Adding node:
- If empty, head = new node
- Else, traverse to last node
- Link last_node.next = new node
- Link new_node.prev = last_node
Allows forward and backward traversal
Full Transcript
A doubly linked list node stores data and two pointers: prev and next. When creating a new node, both pointers start as nil. If the list is empty, the new node becomes the head. If not, we find the last node and link the new node after it by setting last_node.next to the new node and new_node.prev to the last node. This double linking allows moving forward and backward through the list. The execution table shows each step of creating nodes with data 5 and 10, linking them, and updating pointers. Key moments clarify why both pointers are needed and what happens when the list is empty. The visual quiz tests understanding of pointer changes and list state transitions.

Practice

(1/5)
1. What is the main purpose of the prev pointer in a doubly linked list node?
easy
A. To point to the previous node in the list
B. To point to the next node in the list
C. To store the data value of the node
D. To indicate the end of the list

Solution

  1. Step 1: Understand the role of pointers in doubly linked list nodes

    Each node in a doubly linked list has two pointers: one to the next node and one to the previous node.
  2. Step 2: Identify the function of the prev pointer

    The prev pointer specifically points to the node that comes before the current node in the list.
  3. Final Answer:

    To point to the previous node in the list -> Option A
  4. Quick Check:

    prev pointer = previous node [OK]
Hint: Prev pointer always links backward to previous node [OK]
Common Mistakes:
  • Confusing prev with next pointer
  • Thinking prev stores data
  • Assuming prev marks list end
2. Which of the following is the correct way to define a doubly linked list node struct in Go?
easy
A. type Node struct { data int; next *Node; prev int }
B. type Node struct { data int; next Node; prev Node }
C. type Node struct { data int; next *Node; prev *Node }
D. type Node struct { data int; next *int; prev *int }

Solution

  1. Step 1: Recall Go struct pointer usage for linked nodes

    In Go, linked list nodes use pointers to other nodes to link them, so next and prev must be pointers to Node.
  2. Step 2: Check each option for correct pointer types

    type Node struct { data int; next *Node; prev *Node } uses *Node for both next and prev, which is correct. type Node struct { data int; next Node; prev Node } uses non-pointer types, which is incorrect. type Node struct { data int; next *int; prev *int } uses pointers to int, which is wrong. type Node struct { data int; next *Node; prev int } mixes pointer and int, which is invalid.
  3. Final Answer:

    type Node struct { data int; next *Node; prev *Node } -> Option C
  4. Quick Check:

    Pointers to Node = correct struct [OK]
Hint: Use *Node type for next and prev pointers [OK]
Common Mistakes:
  • Using non-pointer types for next or prev
  • Using wrong pointer types like *int
  • Mixing pointer and non-pointer fields
3. Given the following Go code for a doubly linked list node insertion, what will be the printed list after inserting nodes with values 1, 2, and 3 at the end?
type Node struct {
  data int
  next *Node
  prev *Node
}

func printList(head *Node) {
  for head != nil {
    fmt.Print(head.data, " ")
    head = head.next
  }
  fmt.Println()
}

func main() {
  var head *Node
  head = &Node{data: 1}
  second := &Node{data: 2}
  third := &Node{data: 3}

  head.next = second
  second.prev = head
  second.next = third
  third.prev = second

  printList(head)
}
medium
A. 1 3 2
B. 1 2 3
C. 3 2 1
D. 2 1 3

Solution

  1. Step 1: Understand the node linking order

    The nodes are linked as 1 -> 2 -> 3 with proper next and prev pointers.
  2. Step 2: Trace the printList function

    Starting from head (node with data 1), the function prints 1, moves to next (2), prints 2, moves to next (3), prints 3, then stops at nil.
  3. Final Answer:

    1 2 3 -> Option B
  4. Quick Check:

    Traversal from head prints 1 2 3 [OK]
Hint: Traverse from head using next pointers to print list [OK]
Common Mistakes:
  • Confusing prev and next pointers during traversal
  • Printing in reverse order mistakenly
  • Not linking nodes correctly
4. Identify the error in the following Go code snippet for inserting a new node at the beginning of a doubly linked list:
func insertAtBeginning(head *Node, data int) *Node {
  newNode := &Node{data: data}
  newNode.next = head
  head.prev = newNode
  return newNode
}
medium
A. Missing check if head is nil before setting head.prev
B. newNode.prev should point to head
C. Function should not return *Node
D. newNode.next should be nil

Solution

  1. Step 1: Analyze the code for edge cases

    The code sets head.prev = newNode without checking if head is nil, which causes a runtime error if the list is empty.
  2. Step 2: Identify the missing nil check

    Before setting head.prev, the code should check if head != nil to avoid dereferencing nil pointer.
  3. Final Answer:

    Missing check if head is nil before setting head.prev -> Option A
  4. Quick Check:

    Check for nil head before accessing prev [OK]
Hint: Always check if head is nil before accessing its fields [OK]
Common Mistakes:
  • Not checking for nil head causing runtime panic
  • Confusing prev and next pointers
  • Incorrect return type assumptions
5. You want to implement a function in Go that reverses a doubly linked list by swapping the next and prev pointers of each node. Which of the following code snippets correctly performs this reversal?
hard
A. func reverse(head *Node) *Node { current := head var temp *Node for current != nil { temp = current.next current.next = current.prev current.prev = temp current = current.prev } if temp != nil { head = temp.prev } return head }
B. func reverse(head *Node) *Node { current := head for current != nil { current.next, current.prev = current.prev, current.next current = current.next } return head }
C. func reverse(head *Node) *Node { current := head var prev *Node for current != nil { prev = current.prev current.prev = current.next current.next = prev current = current.next } return prev }
D. func reverse(head *Node) *Node { current := head var temp *Node for current != nil { temp = current.prev current.prev = current.next current.next = temp current = current.prev } if temp != nil { head = temp.prev } return head }

Solution

  1. Step 1: Understand the reversal logic for doubly linked list

    Reversing means swapping next and prev pointers for each node, then moving to the original next node (which becomes prev after swap).
  2. Step 2: Analyze each code snippet for correctness

    func reverse(head *Node) *Node { current := head var temp *Node for current != nil { temp = current.prev current.prev = current.next current.next = temp current = current.prev } if temp != nil { head = temp.prev } return head } correctly swaps pointers and moves current to current.prev (original next). It updates head to the last processed node. func reverse(head *Node) *Node { current := head var temp *Node for current != nil { temp = current.next current.next = current.prev current.prev = temp current = current.prev } if temp != nil { head = temp.prev } return head } swaps pointers but moves current incorrectly and updates head wrongly.
  3. Final Answer:

    func reverse(head *Node) *Node { current := head var temp *Node for current != nil { temp = current.prev current.prev = current.next current.next = temp current = current.prev } if temp != nil { head = temp.prev } return head } -> Option D
  4. Quick Check:

    Swap next and prev, move current to original next [OK]
Hint: Swap next and prev, move to original next (now prev) [OK]
Common Mistakes:
  • Not updating head to new first node
  • Moving current pointer incorrectly after swap
  • Returning wrong node as head
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