Insert at Beginning Head Insert in DSA Go - Cheat Sheet & Quick Revision

Recall & Review

beginner

What does 'Insert at Beginning' mean in a linked list?

It means adding a new node at the start (head) of the linked list, making it the first element.

beginner

Why is inserting at the beginning of a linked list efficient?

Because it only requires changing the head pointer and the new node's next pointer, so it runs in constant time O(1).

beginner

In Go, what is the key step to insert a new node at the beginning of a singly linked list?

Create a new node, set its next pointer to the current head, then update the head to this new node.

beginner

What happens to the old head node after inserting a new node at the beginning?

The old head becomes the second node because the new node points to it.

beginner

What is the output of the linked list after inserting 10 at the beginning of list 20 -> 30 -> null?

10 -> 20 -> 30 -> null

What is the time complexity of inserting a node at the beginning of a singly linked list?

A O(1)

B O(n)

C O(log n)

D O(n^2)

Inserting at the beginning only changes the head pointer and the new node's next pointer, so it takes constant time.

Which pointer is updated to insert a new node at the beginning?

A Tail pointer

B Head pointer

C Middle pointer

D Next pointer of last node

The head pointer is updated to point to the new node.

After inserting a new node at the beginning, what does the new node's next pointer point to?

A Null

B Itself

C Tail node

D Old head node

The new node's next pointer points to the old head node.

If the linked list is empty, what will be the head after inserting a new node at the beginning?

A Null

B Old head

C New node

D Tail node

The new node becomes the head since the list was empty.

Which of these is the correct output after inserting 5 at the beginning of 10 -> 20 -> null?

A 5 -> 10 -> 20 -> null

B 10 -> 20 -> 5 -> null

C 20 -> 10 -> 5 -> null

D 5 -> 20 -> 10 -> null

The new node 5 becomes the head, followed by 10 and 20.

Explain step-by-step how to insert a new node at the beginning of a singly linked list.

Think about how the pointers change.

Describe what the linked list looks like after inserting a node at the beginning.

Visualize the chain of nodes.

Practice

1. What does the "Insert at Beginning" operation do in a singly linked list?

easy

A. Adds a new node at the end of the list

B. Searches for a node at the beginning

C. Deletes the first node of the list

D. Adds a new node at the start of the list, making it the new head

Solution

1. Step 1: Understand the head pointer role

   The head pointer points to the first node in the list.

2. Step 2: Insert at beginning changes head

   Inserting at beginning means creating a new node and making it the new head, linking it to the old head.

3. Final Answer:

   Adds a new node at the start of the list, making it the new head -> Option D

4. Quick Check:

   Insert at beginning = new head node [OK]

Hint: New node becomes head, old head moves next [OK]

Common Mistakes:

• Confusing insert at beginning with insert at end
• Thinking it deletes nodes
• Assuming it searches nodes

2. Which of the following Go code snippets correctly inserts a new node with value 10 at the beginning of a singly linked list?

easy

A. newNode := &Node{data: 10, next: head}
head = newNode

B. head.next = &Node{data: 10}
head = head.next

C. newNode := &Node{data: 10}
head.next = newNode

D. head = &Node{data: 10}
head.next = nil

Solution

1. Step 1: Create new node pointing to current head

   newNode is created with data 10 and next pointing to current head.

2. Step 2: Update head to new node

   Assign head to newNode so it becomes the first node.

3. Final Answer:

   newNode := &Node{data: 10, next: head}\nhead = newNode -> Option A

4. Quick Check:

   New node points to old head, head updated [OK]

Hint: New node's next = old head; head = new node [OK]

Common Mistakes:

• Not linking new node to old head
• Changing head.next instead of head
• Forgetting to update head pointer

3. What will be the output linked list after executing this Go code snippet?

package main
import "fmt"

type Node struct {
  data int
  next *Node
}

func main() {
  head := &Node{data: 5, next: nil}
  newNode := &Node{data: 3, next: head}
  head = newNode
  newNode2 := &Node{data: 1, next: head}
  head = newNode2

  // Print list
  current := head
  for current != nil {
    fmt.Print(current.data, " -> ")
    current = current.next
  }
  fmt.Print("null")
}

medium

A. 1 -> 3 -> 5 -> null

B. 5 -> 3 -> 1 -> null

C. 3 -> 1 -> 5 -> null

D. null

Solution

1. Step 1: Insert 3 at beginning

   New node with 3 points to 5, head updated to 3.

2. Step 2: Insert 1 at beginning

   New node with 1 points to 3, head updated to 1.

3. Step 3: Print list from head

   Traverse from head: 1 -> 3 -> 5 -> null.

4. Final Answer:

   1 -> 3 -> 5 -> null -> Option A

5. Quick Check:

   Head insert order reversed list [OK]

Hint: New nodes become head, so list order reverses insert order [OK]

Common Mistakes:

• Printing in insertion order instead of head order
• Confusing next pointers
• Not updating head after insert

4. Identify the error in this Go code that tries to insert a new node with value 7 at the beginning of a linked list:

type Node struct {
  data int
  next *Node
}

func insertAtBeginning(head *Node, val int) *Node {
  newNode := &Node{data: val}
  newNode.next = head.next
  head = newNode
  return head
}

medium

A. The function should not return head

B. head should not be reassigned inside the function

C. newNode.next should point to head, not head.next

D. newNode is not initialized correctly

Solution

1. Step 1: Check newNode.next assignment

   It incorrectly points to head.next instead of head, skipping the current head node.

2. Step 2: Correct pointer to head

   newNode.next must point to head to insert before it.

3. Final Answer:

   newNode.next should point to head, not head.next -> Option C

4. Quick Check:

   Link new node to head, not head.next [OK]

Hint: New node's next = head, not head.next [OK]

Common Mistakes:

• Linking new node to head.next skipping head
• Not updating head pointer correctly
• Ignoring return value of updated head

5. Given a singly linked list with nodes containing integer values, write a Go function to insert multiple values at the beginning in order, so the final list reflects the insertion order. Which approach correctly achieves this?

hard

A. Insert each new value at the end one by one.

B. Insert each new value at the beginning but reverse the input slice before inserting.

C. Insert each new value at the beginning one by one.

D. Insert each new value at the end but reverse the input slice before inserting.

Solution

1. Step 1: Understand insertion order at beginning

   Inserting at beginning reverses order because new nodes become head.

2. Step 2: Reverse input slice before inserting

   Reversing input before inserting at beginning restores original order in final list.

3. Final Answer:

   Insert each new value at the beginning but reverse the input slice before inserting. -> Option B

4. Quick Check:

   Reverse input + head insert = original order [OK]

Hint: Reverse input before head inserts to keep order [OK]

Common Mistakes:

• Inserting at beginning without reversing input
• Inserting at end without reversing input
• Confusing insert at beginning with insert at end