Check if Stack is Empty or Full in DSA Go - Cheat Sheet & Quick Revision

Recall & Review

beginner

What does it mean when a stack is empty?

A stack is empty when it has no elements inside it. This means there is nothing to pop or peek.

beginner

How can you check if a stack is empty in Go?

You check if the stack's size or top index is zero or less. For example, if top == -1, the stack is empty.

beginner

What does it mean when a stack is full?

A stack is full when it has reached its maximum capacity and cannot hold more elements.

beginner

How do you check if a stack is full in Go?

You check if the top index is equal to the maximum size minus one. For example, if top == maxSize - 1, the stack is full.

beginner

Why is it important to check if a stack is empty or full?

Checking prevents errors: popping from an empty stack causes underflow, pushing to a full stack causes overflow.

What condition indicates that a stack is empty?

A top == maxSize - 1

B stack size > 0

C top == -1

D stack size == maxSize

When top is -1, it means no elements are in the stack, so it is empty.

What condition indicates that a stack is full?

A top == -1

B stack size < maxSize

C stack size == 0

D top == maxSize - 1

When top equals maxSize - 1, the stack has reached its capacity and is full.

What happens if you try to pop from an empty stack?

A Stack underflow error

B Stack overflow error

C Element is removed successfully

D Stack becomes full

Popping from an empty stack causes underflow because there is nothing to remove.

Why should you check if a stack is full before pushing?

A To avoid stack overflow

B To avoid stack underflow

C To clear the stack

D To reset the top index

Checking prevents pushing beyond capacity, which causes stack overflow.

In Go, if a stack has maxSize 5, what is the top index when the stack is full?

A 0

B 4

C 5

D -1

Indexing starts at 0, so top is maxSize - 1 = 4 when full.

Explain how to check if a stack is empty or full in Go.

Think about the top pointer and stack size limits.

Why is it important to check stack status before push or pop operations?

Consider what errors happen if you ignore these checks.

Practice

1. What does the IsEmpty() function check in a stack data structure?

easy

A. If the stack has no elements inside

B. If the stack is full and cannot add more elements

C. If the stack has exactly one element

D. If the stack has more than one element

Solution

1. Step 1: Understand the purpose of IsEmpty()

   The IsEmpty() function checks whether the stack contains any elements or not.

2. Step 2: Identify what empty means for a stack

   An empty stack means it has zero elements inside, so no items to pop or peek.

3. Final Answer:

   If the stack has no elements inside -> Option A

4. Quick Check:

   IsEmpty() means stack is empty = true [OK]

Hint: Empty means zero elements inside stack [OK]

Common Mistakes:

• Confusing empty with full
• Thinking empty means one element
• Mixing IsEmpty with IsFull

2. Which of the following is the correct Go syntax to check if a stack is full when using a fixed size array?

easy

A. if len(stack) == 0 { /* stack is full */ }

B. if top > len(stack) { /* stack is full */ }

C. if top == len(stack) - 1 { /* stack is full */ }

D. if top == 0 { /* stack is full */ }

Solution

1. Step 1: Understand stack indexing in Go

   For a fixed size array stack, top points to the last filled index. The last valid index is length - 1.

2. Step 2: Check condition for full stack

   When top equals len(stack) - 1, the stack is full because no more elements can be added.

3. Final Answer:

   if top == len(stack) - 1 { /* stack is full */ } -> Option C

4. Quick Check:

   top == max index means full [OK]

Hint: Full means top equals last index (length - 1) [OK]

Common Mistakes:

• Using > instead of == for full check
• Checking if top == 0 for full
• Confusing length with top index

3. Given the following Go code, what will be printed?

type Stack struct {
    items []int
    top   int
}

func (s *Stack) IsEmpty() bool {
    return s.top == -1
}

func main() {
    s := Stack{items: make([]int, 5), top: -1}
    fmt.Println(s.IsEmpty())
    s.top = 4
    fmt.Println(s.IsEmpty())
}

medium

A. true\nfalse

B. false\ntrue

C. false\nfalse

D. true\ntrue

Solution

1. Step 1: Check initial top value and IsEmpty() result

   Initially, top is -1, so IsEmpty() returns true because stack is empty.

2. Step 2: Update top to 4 and check IsEmpty() again

   After setting top to 4, IsEmpty() returns false because stack now has elements.

3. Final Answer:

   true\nfalse -> Option A

4. Quick Check:

   top -1 means empty true, top 4 means not empty false [OK]

Hint: top -1 means empty, any other top means not empty [OK]

Common Mistakes:

• Assuming top 4 means empty
• Confusing slice length with top
• Ignoring initial top value

4. Find the error in this Go code snippet that checks if a stack is full:

func (s *Stack) IsFull() bool {
    return s.top == len(s.items)
}

medium

A. The function should return 's.top > len(s.items)' instead

B. The condition should be 's.top == len(s.items) - 1' to check full correctly

C. The function should check if 's.top == 0' to be full

D. No error, the code is correct

Solution

1. Step 1: Understand stack indexing for full condition

   Stack top index starts at -1 and max valid index is length - 1.

2. Step 2: Identify correct full condition

   Full means top equals last valid index, which is len(s.items) - 1, not len(s.items).

3. Final Answer:

   The condition should be 's.top == len(s.items) - 1' to check full correctly -> Option B

4. Quick Check:

   Full means top == max index (length - 1) [OK]

Hint: Full means top equals last index, not length [OK]

Common Mistakes:

• Using length instead of length - 1
• Checking top == 0 for full
• Returning wrong boolean condition

5. You have a stack implemented with a fixed size array of length 3 and a top index starting at -1. After pushing two elements, you pop one element, then push two more elements. Which statement about the stack state is correct?

hard

A. The stack is empty and top index is -1

B. The stack is not full and top index is 1

C. The stack is full but top index is 3

D. The stack is full and top index is 2

Solution

1. Step 1: Track stack operations and top index changes

   Start: top = -1 (empty). Push two elements: top = 1. Pop one element: top = 0. Push two elements: top = 2 (max index for length 3).

2. Step 2: Determine if stack is full

   Since top = 2 and max index is 2 (length 3 - 1), stack is full.

3. Final Answer:

   The stack is full and top index is 2 -> Option D

4. Quick Check:

   Push/pop changes top; top 2 means full for size 3 [OK]

Hint: Track top index after each push/pop carefully [OK]

Common Mistakes:

• Assuming top can be 3 for full
• Forgetting pop decreases top
• Confusing empty with full states