Enqueue Using Linked List in DSA Rust - Cheat Sheet & Quick Revision

Recall & Review

beginner

What does 'enqueue' mean in the context of a queue data structure?

Enqueue means adding an element to the end (tail) of the queue.

beginner

Why is a linked list a good choice to implement a queue?

A linked list allows efficient addition at the tail without shifting elements, making enqueue operations fast.

intermediate

In Rust, what is the role of the 'Option' type in a linked list?

It represents a pointer to the next node or None if there is no next node, enabling safe linked list chaining.

beginner

What happens to the tail pointer when you enqueue a new node in a linked list queue?

The tail pointer is updated to point to the newly added node, which becomes the new end of the queue.

beginner

Show the basic steps to enqueue a value in a linked list queue.

1. Create a new node with the value.
2. If the queue is empty, set head and tail to the new node.
3. Otherwise, link the current tail's next to the new node.
4. Update tail to the new node.

What pointer is updated when you enqueue a new element in a linked list queue?

A Both head and tail pointers

B Head pointer

C Tail pointer

D No pointer is updated

When enqueuing, the tail pointer moves to the new node at the end.

What is the initial state of the queue when it is empty?

A Head and tail are None

B Head points to a node, tail is None

C Tail points to a node, head is None

D Head and tail point to the same node

An empty queue has no nodes, so both head and tail are None.

In Rust, what does 'Box<Node>' represent in a linked list?

A A reference to a node

B A heap-allocated node

C A stack-allocated node

D An optional node

Box allocates the node on the heap, allowing recursive data structures.

What happens if you enqueue into an empty linked list queue?

A No pointers are updated

B Only head points to the new node

C Only tail points to the new node

D Head and tail both point to the new node

For an empty queue, both head and tail must point to the new node.

Which operation is generally faster with a linked list queue compared to an array queue?

A Enqueue (adding at the end)

B Random access

C Searching for an element

D Sorting the queue

Linked lists allow fast enqueue without shifting elements.

Explain how to add (enqueue) a new element to a queue implemented using a linked list.

Think about what happens when the queue is empty versus when it has elements.

Describe the role of the head and tail pointers in a linked list queue during enqueue operations.

Focus on how pointers move or stay the same when adding elements.

Practice

1. What does the enqueue operation do in a linked list implementation of a queue?

easy

A. Adds a new element at the beginning (head) of the linked list

B. Removes the first element from the linked list

C. Adds a new element at the end (tail) of the linked list

D. Deletes the last element from the linked list

Solution

1. Step 1: Understand enqueue operation in queue

   Enqueue means adding an element to the queue, which is done at the end (tail) in a linked list.

2. Step 2: Identify linked list position for enqueue

   In a linked list queue, new nodes are added at the tail to maintain FIFO order.

3. Final Answer:

   Adds a new element at the end (tail) of the linked list -> Option C

4. Quick Check:

   Enqueue = Add at tail [OK]

Hint: Enqueue always adds at the tail in linked list queue [OK]

Common Mistakes:

• Confusing enqueue with dequeue operation
• Adding new element at head instead of tail
• Thinking enqueue removes elements

2. Which of the following Rust code snippets correctly enqueues a new node with value val into a linked list queue?

easy

A. let new_node = Box::new(Node { data: val, next: None }); tail.next = Some(new_node); tail = tail.next.as_mut().unwrap();

B. let new_node = Box::new(Node { data: val, next: None }); head = Some(new_node);

C. let new_node = Box::new(Node { data: val, next: head }); head = Some(new_node);

D. let new_node = Box::new(Node { data: val, next: None }); tail = Some(new_node);

Solution

1. Step 1: Create new node with value and no next

   The new node is created with data = val and next = None, correct for enqueue at tail.

2. Step 2: Link new node at tail and update tail pointer

   Setting tail.next to new_node and moving tail pointer to new_node is correct enqueue logic.

3. Final Answer:

   let new_node = Box::new(Node { data: val, next: None }); tail.next = Some(new_node); tail = tail.next.as_mut().unwrap(); -> Option A

4. Quick Check:

   Enqueue = add at tail and update tail [OK]

Hint: Enqueue updates tail.next and tail pointer [OK]

Common Mistakes:

• Assigning new node to head instead of tail
• Not updating tail pointer after enqueue
• Linking new node's next to head (wrong for enqueue)

3. Given this Rust code snippet for enqueue operation on a linked list queue, what will be the printed queue after enqueuing values 10, 20, 30?

struct Node {
    data: i32,
    next: Option,
}

struct Queue {
    head: Option,
    tail: *mut Node,
}

impl Queue {
    fn new() -> Self {
        Queue { head: None, tail: std::ptr::null_mut() }
    }

    fn enqueue(&mut self, val: i32) {
        let mut new_node = Box::new(Node { data: val, next: None });
        let raw_node: *mut _ = &mut *new_node;
        if self.tail.is_null() {
            self.head = Some(new_node);
            self.tail = raw_node;
        } else {
            unsafe { (*self.tail).next = Some(new_node); }
            self.tail = raw_node;
        }
    }

    fn print_queue(&self) {
        let mut current = &self.head;
        while let Some(node) = current {
            print!("{} -> ", node.data);
            current = &node.next;
        }
        println!("null");
    }
}

fn main() {
    let mut q = Queue::new();
    q.enqueue(10);
    q.enqueue(20);
    q.enqueue(30);
    q.print_queue();
}

medium

A. 30 -> 20 -> 10 -> null

B. 10 -> 20 -> 30 -> null

C. null

D. 10 -> null

Solution

1. Step 1: Trace enqueue calls adding nodes at tail

   Enqueue adds 10, then 20, then 30 at the tail, preserving order.

2. Step 2: Print queue from head to tail

   Prints nodes in order: 10 -> 20 -> 30 -> null.

3. Final Answer:

   10 -> 20 -> 30 -> null -> Option B

4. Quick Check:

   Enqueue order preserved in print [OK]

Hint: Enqueue adds at tail, print from head shows insertion order [OK]

Common Mistakes:

• Assuming enqueue adds at head, reversing order
• Not updating tail pointer causing print errors
• Printing empty queue due to wrong head initialization

4. Identify the bug in this Rust enqueue method for a linked list queue:

fn enqueue(&mut self, val: i32) {
    let new_node = Box::new(Node { data: val, next: None });
    if self.tail.is_null() {
        self.head = Some(new_node);
        self.tail = &mut *new_node;
    } else {
        unsafe { (*self.tail).next = Some(new_node); }
        self.tail = &mut *new_node;
    }
}

medium

A. Using unsafe block unnecessarily

B. Not setting new_node.next to None

C. Not updating head pointer when queue is empty

D. Assigning tail pointer to reference of new_node which is dropped after function ends

Solution

1. Step 1: Analyze new_node lifetime

   new_node is a local variable and will be dropped after function ends, so tail pointer becomes invalid.

2. Step 2: Understand pointer assignment issue

   Assigning tail to &mut *new_node stores pointer to dropped memory, causing undefined behavior.

3. Final Answer:

   Assigning tail pointer to reference of new_node which is dropped after function ends -> Option D

4. Quick Check:

   Pointer to dropped node causes bug [OK]

Hint: Tail must point to heap node, not local variable [OK]

Common Mistakes:

• Using local variable reference for tail pointer
• Ignoring unsafe pointer lifetime issues
• Not updating tail pointer at all

5. You want to implement a queue using a singly linked list in Rust that supports enqueue and dequeue efficiently. Which approach correctly handles enqueue operation to maintain O(1) time complexity and safe memory management? A) Add new node at head and update head pointer. B) Add new node at tail, update tail pointer, and use Option for next pointers. C) Add new node at tail but do not update tail pointer. D) Add new node at head and update tail pointer.

hard

A. Add new node at tail, update tail pointer, and use Option for next pointers.

B. Add new node at head and update head pointer.

C. Add new node at tail but do not update tail pointer.

D. Add new node at head and update tail pointer.

Solution

1. Step 1: Understand enqueue efficiency in linked list queue

   Enqueue must add at tail and update tail pointer to keep O(1) time complexity.

2. Step 2: Use Option for safe memory management

   Using Option for next pointers ensures ownership and safe heap allocation in Rust.

3. Step 3: Reject other options

   Adding at head breaks FIFO order; not updating tail pointer breaks enqueue logic.

4. Final Answer:

   Add new node at tail, update tail pointer, and use Option for next pointers. -> Option A

5. Quick Check:

   Enqueue at tail + safe pointers = O(1) enqueue [OK]

Hint: Enqueue at tail with Option ensures O(1) and safety [OK]

Common Mistakes:

• Adding at head breaks queue order
• Not updating tail pointer after enqueue
• Using raw pointers without ownership