Stack Concept and LIFO Principle in DSA Java - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is a stack in data structures?

A stack is a collection where elements are added and removed only from the top, following the Last In, First Out (LIFO) principle.

beginner

Explain the LIFO principle in simple terms.

LIFO means the last item you put in is the first one you take out, like a stack of plates where you take the top plate first.

beginner

What are the two main operations of a stack?

The two main operations are push (to add an item on top) and pop (to remove the top item).

beginner

If you push elements 1, 2, 3 in order, what will be the order when popping all elements?

The elements will come out in reverse order: 3, then 2, then 1, because of the LIFO principle.

beginner

Why is a stack compared to a stack of plates?

Because you add plates on top and remove the top plate first, just like a stack adds and removes elements from the top only.

Which operation adds an element to the top of a stack?

A Push

B Pop

C Peek

D Insert

Push adds an element to the top of the stack.

What does LIFO stand for?

A Last In, First Out

B Last In, Final Out

C List In, First Out

D Last Input, First Output

LIFO means Last In, First Out.

If you push 5, then 10, then 15, which element will pop first?

A 5

B 15

C 10

D Cannot determine

The last pushed element (15) pops first in a stack.

Which of these is NOT a stack operation?

A Push

B Pop

C Peek

D Enqueue

Enqueue is an operation for queues, not stacks.

What happens if you pop from an empty stack?

A Returns the last element

B Adds a new element

C Returns null or error

D Nothing happens

Popping from an empty stack usually causes an error or returns null.

Describe how a stack works and explain the LIFO principle with a real-life example.

Think about how you handle a pile of books or plates.

List and explain the main operations of a stack and what happens when you perform them.

Focus on what happens at the top of the stack.

Practice

1. What does the LIFO principle mean in the context of a stack?

easy

A. First In, First Out - the first element added is the first to be removed

B. Last In, First Out - the last element added is the first to be removed

C. Elements are removed randomly

D. Elements are removed based on their value

Solution

1. Step 1: Understand the LIFO principle

   LIFO means the last item you put in is the first one you take out.

2. Step 2: Apply to stack behavior

   Stacks follow LIFO, so the last pushed element is popped first.

3. Final Answer:

   Last In, First Out - the last element added is the first to be removed -> Option B

4. Quick Check:

   LIFO = Last In, First Out [OK]

Hint: Remember stack like a stack of plates, last on top removed first [OK]

Common Mistakes:

• Confusing LIFO with FIFO
• Thinking elements are removed randomly
• Assuming removal depends on element value

2. Which of the following is the correct way to push an element '5' onto a stack named stack in Java?

easy

A. stack.insert(5);

B. stack.add(5);

C. stack.put(5);

D. stack.push(5);

Solution

1. Step 1: Recall Java Stack method for adding elements

   The method to add an element to a stack is push().

2. Step 2: Match method with given options

   Only stack.push(5); correctly uses the stack push method.

3. Final Answer:

   stack.push(5); -> Option D

4. Quick Check:

   Use push() to add elements to stack [OK]

Hint: Use push() to add elements to stack in Java [OK]

Common Mistakes:

• Using add() which is for lists, not stacks
• Using insert() or put() which are invalid for Stack
• Confusing stack methods with other collections

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

Stack<Integer> stack = new Stack<>();
stack.push(10);
stack.push(20);
stack.push(30);
System.out.println(stack.pop());
System.out.println(stack.pop());

medium

A. 30\n20

B. 30\n10

C. 20\n30

D. 10\n20

Solution

1. Step 1: Trace push operations

   Elements pushed in order: 10 (bottom), 20, 30 (top).

2. Step 2: Trace pop operations

   First pop removes 30, second pop removes 20.

3. Final Answer:

   30\n20 -> Option A

4. Quick Check:

   Stack pops last pushed first: 30 then 20 [OK]

Hint: Pop returns last pushed element first [OK]

Common Mistakes:

• Assuming pop removes from bottom
• Mixing order of popped elements
• Confusing push and pop effects

4. Identify the error in the following Java code snippet using a stack:

Stack<String> stack = new Stack<>();
stack.push("apple");
stack.push("banana");
String fruit = stack.pop();
System.out.println(stack.peek());
stack.pop();
stack.pop();

medium

A. Using peek() instead of pop() is incorrect

B. Stack cannot hold String objects

C. Calling pop() on an empty stack causes EmptyStackException

D. push() method is not defined for Stack

Solution

1. Step 1: Trace stack operations

   Push "apple", then "banana". Pop removes "banana". Peek shows "apple". Next pop removes "apple".

2. Step 2: Identify error on last pop

   Last pop tries to remove from empty stack, causing EmptyStackException.

3. Final Answer:

   Calling pop() on an empty stack causes EmptyStackException -> Option C

4. Quick Check:

   Pop on empty stack throws exception [OK]

Hint: Pop more times than pushes causes error [OK]

Common Mistakes:

• Ignoring exception on empty pop
• Thinking peek removes element
• Believing stack can't hold Strings

5. Given a stack with elements pushed in this order: 1, 2, 3, 4, 5. Which sequence of pop operations will produce the output 5 4 3 and leave the stack with elements 1 2 remaining?

hard

A. Pop three times consecutively

B. Pop once, push 6, then pop twice

C. Pop twice, push 7, then pop once

D. Pop once, pop twice, push 8

Solution

1. Step 1: Understand initial stack order

   Stack top is 5, bottom is 1 after pushing 1 to 5.

2. Step 2: Pop three times consecutively

   Pop removes 5, then 4, then 3, leaving 1 and 2 in stack.

3. Final Answer:

   Pop three times consecutively -> Option A

4. Quick Check:

   3 pops remove top 3 elements [OK]

Hint: Pop as many times as output elements needed [OK]

Common Mistakes:

• Adding elements unnecessarily
• Confusing push and pop order
• Expecting output without popping