Push Operation on Stack in DSA C - Cheat Sheet & Quick Revision

Recall & Review

beginner

What does the push operation do in a stack?

It adds a new element to the top of the stack, increasing its size by one.

beginner

In a stack, what happens if you try to push an element when the stack is full?

This situation is called stack overflow, and the push operation cannot add the new element.

beginner

What is the time complexity of the push operation on a stack?

The push operation runs in O(1) time because it only adds an element at the top without traversing the stack.

beginner

Show the state of the stack after pushing elements 5, then 10, then 15.

Stack top -> 15 -> 10 -> 5 -> null

beginner

Why is the stack called LIFO?

Because the last element pushed onto the stack is the first one to be removed, following Last In First Out order.

What does the push operation do in a stack?

A Checks if the stack is empty

B Removes an element from the bottom

C Adds an element to the top

D Clears all elements

Push adds a new element to the top of the stack.

What is stack overflow?

A Stack has only one element

B Trying to pop when stack is empty

C Stack is empty

D Trying to push when stack is full

Stack overflow happens when pushing to a full stack.

What is the time complexity of push operation?

A O(1)

B O(log n)

C O(n^2)

D O(n)

Push runs in constant time O(1).

If stack is empty, what is the top after pushing 7?

A null

B 7

C 0

D Undefined

After pushing 7, top points to 7.

Which order does stack follow?

A LIFO

B FIFO

C Random

D Sorted

Stack follows Last In First Out (LIFO) order.

Explain the push operation on a stack and what happens when the stack is full.

Think about adding an item on top and what limits the stack size.

Describe how the stack looks after pushing elements 3, 6, and 9 in that order.

Visualize stacking plates one on top of another.

Practice

1. What does the push operation do in a stack?

easy

A. Checks if the stack is empty

B. Adds an element to the top of the stack

C. Removes the top element from the stack

D. Returns the bottom element of the stack

Solution

1. Step 1: Understand stack operations

   A stack is a data structure where elements are added or removed from the top only.

2. Step 2: Define push operation

   The push operation adds a new element on top of the existing elements in the stack.

3. Final Answer:

   Adds an element to the top of the stack -> Option B

4. Quick Check:

   Push means add on top = C [OK]

Hint: Push always adds on top of stack [OK]

Common Mistakes:

• Confusing push with pop operation
• Thinking push removes elements
• Mixing stack with queue operations

2. Which of the following is the correct syntax to push an element 5 onto a stack named s in C?

easy

A. s.push = 5;

B. s.push(5);

C. push(5, s);

D. push(s, 5);

Solution

1. Step 1: Understand typical C stack push syntax

   In C, stack operations are usually functions where the stack is passed as the first argument.

2. Step 2: Match syntax with parameters

   The correct function call to push 5 onto stack s is push(s, 5);.

3. Final Answer:

   push(s, 5); -> Option D

4. Quick Check:

   Function push(stack, value) = A [OK]

Hint: In C, function push(stack, value) is standard [OK]

Common Mistakes:

• Using object.method syntax (not C style)
• Swapping argument order
• Assigning value instead of calling function

3. What will be the content of the stack after executing the following code?

int stack[5];
int top = -1;
// Push function
void push(int val) {
  if(top < 4) {
    top++;
    stack[top] = val;
  }
}

push(10);
push(20);
push(30);

medium

A. [10, 20, 30]

B. [30, 20, 10]

C. [10, 20]

D. Empty stack

Solution

1. Step 1: Trace each push call

   Initially, top = -1. After push(10), top=0, stack[0]=10. After push(20), top=1, stack[1]=20. After push(30), top=2, stack[2]=30.

2. Step 2: List stack content from bottom to top

   Stack elements from index 0 to top (2) are [10, 20, 30].

3. Final Answer:

   [10, 20, 30] -> Option A

4. Quick Check:

   Push adds at top increasing index = B [OK]

Hint: Stack stores pushed elements in order at increasing top index [OK]

Common Mistakes:

• Reversing order of elements
• Confusing top index with element values
• Assuming stack is empty after pushes

4. Identify the error in the following push function for a stack of size 3:

int stack[3];
int top = 0;
void push(int val) {
  if(top <= 3) {
    stack[top] = val;
    top++;
  }
}

medium

A. Condition should be top < 3, not top <= 3

B. top should be incremented before assignment

C. stack array size should be 4

D. top should start at -1, not 0

Solution

1. Step 1: Analyze top and condition

   top starts at 0, which is valid for empty stack at index 0. The condition allows top to be 3, which is out of bounds for stack[3] (indices 0 to 2).

2. Step 2: Correct the condition

   Change condition to top < 3 to prevent overflow and invalid access.

3. Final Answer:

   Condition should be top < 3, not top <= 3 -> Option A

4. Quick Check:

   Stack max index 2 means top < 3 [OK]

Hint: Check array bounds: top must be less than size [OK]

Common Mistakes:

• Allowing top to equal array size causing overflow
• Starting top at -1 but not adjusting code
• Incrementing top before assignment causing skip

5. Given a stack implemented with an array of size 4 and top = 2 currently, what will happen if we try to push two more elements without popping?
Choose the correct behavior.

hard

A. Both pushes fail immediately due to full stack

B. Both pushes succeed, stack size automatically increases

C. First push succeeds, second push causes stack overflow

D. First push causes overflow, second push is not attempted

Solution

1. Step 1: Understand current stack state

   Array size is 4, so valid indices are 0 to 3. top=2 means top element is at index 2, so one slot remains at index 3.

2. Step 2: Push two elements

   First push increments top to 3 and stores element at index 3 (valid). Second push tries to increment top to 4, which is out of bounds, causing overflow.

3. Final Answer:

   First push succeeds, second push causes stack overflow -> Option C

4. Quick Check:

   Array size 4, top max index 3, overflow after that [OK]

Hint: Stack size fixed; overflow after last index [OK]

Common Mistakes:

• Assuming stack auto-expands
• Thinking both pushes fail immediately
• Confusing top index with count