Enqueue Operation in DSA Java - Time & Space Complexity

Time Complexity: Enqueue Operation

O(1)

Understanding Time Complexity

We want to understand how the time to add an item to a queue changes as the queue grows.

How does the enqueue operation scale when the queue gets bigger?

Scenario Under Consideration

Analyze the time complexity of the following enqueue code for a queue using a linked list.

public void enqueue(int value) {
    Node newNode = new Node(value);
    if (rear == null) {
        front = rear = newNode;
        return;
    }
    rear.next = newNode;
    rear = newNode;
}
    

This code adds a new item at the end of the queue.

Identify Repeating Operations

Look for loops or repeated steps that happen as the queue grows.

• Primary operation: Adding a new node at the end by updating pointers.
• How many times: This happens once per enqueue call, no loops involved.

How Execution Grows With Input

Adding one item always takes the same steps, no matter how big the queue is.

Input Size (n)	Approx. Operations
10	5 steps
100	5 steps
1000	5 steps

Pattern observation: The number of steps stays the same as the queue grows.

Final Time Complexity

Time Complexity: O(1)

This means adding an item takes the same amount of time no matter how many items are already in the queue.

Common Mistake

[X] Wrong: "Enqueue takes longer as the queue gets bigger because it has to find the end each time."

[OK] Correct: The code keeps track of the end (rear) directly, so it does not search through the queue.

Interview Connect

Knowing that enqueue is fast and constant time helps you explain why queues are efficient for many tasks like scheduling or buffering.

Self-Check

"What if we used an array without tracking the end index? How would the time complexity of enqueue change?"

Practice

1. What does the enqueue operation do in a queue data structure?

easy

A. Adds an element to the end of the queue

B. Removes an element from the front of the queue

C. Checks if the queue is empty

D. Returns the size of the queue

Solution

1. Step 1: Understand the queue structure

   A queue works like a line where elements are added at the back and removed from the front.

2. Step 2: Define enqueue operation

   Enqueue means adding a new element at the end of the queue to wait its turn.

3. Final Answer:

   Adds an element to the end of the queue -> Option A

4. Quick Check:

   Enqueue = Add at end [OK]

Hint: Enqueue always adds at the back of the queue [OK]

Common Mistakes:

• Confusing enqueue with dequeue
• Thinking enqueue removes elements
• Mixing enqueue with checking size

2. Which of the following is the correct Java syntax to enqueue an element 5 into a queue named q?

easy

A. q.enqueue(5);

B. q.add(5);

C. q.push(5);

D. q.insert(5);

Solution

1. Step 1: Recall Java Queue methods

   Java's Queue interface uses add() or offer() to enqueue elements.

2. Step 2: Identify correct method

   enqueue() and insert() are not standard Queue methods; push() is for stacks.

3. Final Answer:

   q.add(5); -> Option B

4. Quick Check:

   Java Queue enqueue = add() [OK]

Hint: Use add() to enqueue in Java Queue [OK]

Common Mistakes:

• Using push() which is for stacks
• Using enqueue() which is not a Java Queue method
• Using insert() which doesn't exist in Queue

3. What will be the output of the following Java code snippet?

import java.util.LinkedList;
import java.util.Queue;

public class TestQueue {
  public static void main(String[] args) {
    Queue<Integer> q = new LinkedList<>();
    q.add(10);
    q.add(20);
    q.add(30);
    q.add(40);
    q.add(50);
    q.add(60);
    System.out.println(q);
  }
}

medium

A. [10 -> 20 -> 30 -> 40 -> 50 -> 60 -> null]

B. [60, 50, 40, 30, 20, 10]

C. SyntaxError

D. [10, 20, 30, 40, 50, 60]

Solution

1. Step 1: Understand Queue implementation

   LinkedList implements Queue and stores elements in insertion order.

2. Step 2: Trace enqueue operations

   Elements 10, 20, 30, 40, 50, 60 are added in that order, so printing the queue shows them in the same order.

3. Final Answer:

   [10, 20, 30, 40, 50, 60] -> Option D

4. Quick Check:

   Queue prints elements in insertion order [OK]

Hint: Queue prints elements in order added [OK]

Common Mistakes:

• Assuming reverse order print
• Expecting arrow notation in output
• Thinking code has syntax errors

4. Identify the error in the following Java code that tries to enqueue an element into a queue:

import java.util.Queue;
import java.util.LinkedList;

public class QueueTest {
  public static void main(String[] args) {
    Queue<Integer> q = new LinkedList<>();
    q.enqueue(100);
    System.out.println(q);
  }
}

medium

A. Cannot print queue directly

B. LinkedList cannot be used as a Queue

C. Queue interface has no method named enqueue()

D. Missing import for enqueue method

Solution

1. Step 1: Check Queue interface methods

   Java's Queue interface does not have an enqueue() method; it uses add() or offer().

2. Step 2: Verify LinkedList usage

   LinkedList implements Queue correctly, so no issue there; printing queue directly works fine.

3. Final Answer:

   Queue interface has no method named enqueue() -> Option C

4. Quick Check:

   enqueue() method missing in Queue [OK]

Hint: Use add() or offer() to enqueue in Java Queue [OK]

Common Mistakes:

• Trying to call enqueue() on Java Queue
• Thinking LinkedList can't be a Queue
• Assuming enqueue is a standard method

5. You have a queue implemented using a linked list with a fixed maximum size of 3. What will happen if you try to enqueue a fourth element without dequeuing any element first?

hard

A. The enqueue operation will fail or throw an error due to overflow

B. The new element will be added, increasing the queue size beyond 3

C. The oldest element will be removed automatically to add the new element

D. The queue will reset and start empty before adding the new element

Solution

1. Step 1: Understand fixed size queue behavior

   A fixed size queue cannot hold more elements than its maximum capacity.

2. Step 2: Effect of enqueue beyond capacity

   Trying to add a fourth element when size is 3 causes overflow; enqueue fails or throws an error.

3. Final Answer:

   The enqueue operation will fail or throw an error due to overflow -> Option A

4. Quick Check:

   Fixed size queue overflow blocks enqueue [OK]

Hint: Fixed size queue blocks enqueue when full [OK]

Common Mistakes:

• Assuming queue auto-removes oldest element
• Thinking queue size can grow unlimited
• Believing queue resets automatically