Stacks (last-in, first-out) in Intro to Computing - Draw & Build Visually

Draw This - beginner

Draw a diagram showing a stack with the following sequence of operations: 1. Push 10 2. Push 20 3. Push 30 4. Pop (remove top element) 5. Push 40 Show the stack after each operation and label the top of the stack clearly.

10 minutes

Hint 1

Hint 2

Hint 3

Hint 4

Grading Criteria

Stack drawn as vertical column

Top of stack clearly labeled after each operation

Push operations add new element on top

Pop operation removes the top element

Stack state correctly shown after each step

All five operations represented in order

Solution

Initial stack (empty):
+-----+
|     | <- top (empty)
+-----+

After Push 10:
+-----+
|  10 | <- top
+-----+

After Push 20:
+-----+
|  20 | <- top
+-----+
|  10 |
+-----+

After Push 30:
+-----+
|  30 | <- top
+-----+
|  20 |
+-----+
|  10 |
+-----+

After Pop (remove 30):
+-----+
|  20 | <- top
+-----+
|  10 |
+-----+

After Push 40:
+-----+
|  40 | <- top
+-----+
|  20 |
+-----+
|  10 |
+-----+

This diagram shows the stack after each operation:

1. Initial stack: The stack is empty.
2. Push 10: 10 is added to the top.
3. Push 20: 20 is added on top of 10.
4. Push 30: 30 is added on top of 20.
5. Pop: The top element 30 is removed, so 20 becomes the top.
6. Push 40: 40 is added on top of 20.

The top of the stack is always the last item added that has not been removed, demonstrating the last-in, first-out (LIFO) principle.

Variations - 2 Challenges

[beginner] Draw a diagram showing a stack with these operations: 1. Push 5 2. Push 15 3. Pop 4. Pop 5. Push 25 Show the stack after each operation and label the top.

[intermediate] Draw a flowchart that shows how to perform push and pop operations on a stack. Include decision points for checking if the stack is full before push and empty before pop.

Practice

1. What does the term last-in, first-out (LIFO) mean in the context of a stack?

easy

A. The last item added is the first one removed.

B. The first item added is the first one removed.

C. Items are removed in random order.

D. Items are removed based on their size.

Solution

1. Step 1: Understand the order of operations in a stack

   A stack stores items so that the last item you put in is the first one you take out.

2. Step 2: Match the definition to the options

   The last item added is the first one removed correctly describes this behavior as "last item added is first removed".

3. Final Answer:

   The last item added is the first one removed. -> Option A

4. Quick Check:

   LIFO = Last In, First Out [OK]

Hint: Remember: last added is first removed in stacks [OK]

Common Mistakes:

• Confusing LIFO with FIFO (queue behavior)
• Thinking items are removed in the order they were added
• Assuming random removal order

2. Which of the following is the correct way to add an item to a stack?

easy

A. Use the pop operation.

B. Use the peek operation.

C. Use the push operation.

D. Use the enqueue operation.

Solution

1. Step 1: Recall stack operations

   Stacks use push to add items and pop to remove items.

2. Step 2: Identify the correct operation for adding

   Only push adds an item to the stack, so Use the push operation is correct.

3. Final Answer:

   Use the push operation. -> Option C

4. Quick Check:

   Push adds items to stack [OK]

Hint: Push adds, pop removes from stack [OK]

Common Mistakes:

• Confusing pop as adding instead of removing
• Using queue terms like enqueue
• Thinking peek adds items

3. Consider this sequence of stack operations starting with an empty stack:

push(5)
push(3)
pop()
push(2)
pop()
pop()

What is the result of the last pop() operation?

medium

A. 5

B. 3

C. 2

D. Stack is empty

Solution

1. Step 1: Trace each operation on the stack

   Start empty: []
   push(5) -> [5]
   push(3) -> [5, 3]
   pop() removes 3 -> [5]
   push(2) -> [5, 2]
   pop() removes 2 -> [5]
   pop() removes 5 -> []

2. Step 2: Identify the last pop result

   The last pop removes 5, so the result is 5.

3. Final Answer:

   5 -> Option A

4. Quick Check:

   Last pop removes 5 [OK]

Hint: Follow push/pop step-by-step to track top item [OK]

Common Mistakes:

• Forgetting the order of pop removes last pushed
• Mixing up which item is on top
• Assuming pop returns the first pushed item

4. The following code tries to pop an item from an empty stack. What is the likely problem?

stack = []
item = stack.pop()

medium

A. It will silently ignore the pop.

B. It will return None.

C. It will add an item instead of removing.

D. It will raise an error because the stack is empty.

Solution

1. Step 1: Understand pop behavior on empty stack

   Calling pop on an empty list (stack) causes an error because there is no item to remove.

2. Step 2: Identify the error type

   In Python, this raises an IndexError indicating the stack is empty.

3. Final Answer:

   It will raise an error because the stack is empty. -> Option D

4. Quick Check:

   Pop on empty stack causes error [OK]

Hint: Pop on empty stack causes error, never returns None [OK]

Common Mistakes:

• Assuming pop returns None if empty
• Thinking pop adds items
• Ignoring runtime errors

5. You want to reverse the order of a list [1, 2, 3, 4] using a stack. Which sequence of operations correctly reverses the list?

hard

A. Pop all items first, then push them back in order.

B. Push all items in order, then pop all items to get reversed list.

C. Push items in reverse order, then pop all items.

D. Push and pop items randomly to reverse.

Solution

1. Step 1: Understand stack reverses order by LIFO

   Pushing items in original order puts last item on top. Popping all items returns them in reverse order.

2. Step 2: Match the correct sequence

   Push all items in order, then pop all items to get reversed list describes pushing all items then popping all to reverse the list correctly.

3. Final Answer:

   Push all items in order, then pop all items to get reversed list. -> Option B

4. Quick Check:

   Stack reverses order by push then pop [OK]

Hint: Push original order, pop all to reverse list [OK]

Common Mistakes:

• Pushing in reverse order then popping returns original order
• Popping before pushing causes error
• Random push/pop does not guarantee reversal