Assume we have the following stack operations, where the numeric values are pushed onto the stack and popped off into variable (or register) r1: push (42) push (15) r1 = pop() push (9) push (20) r1 = pop() r1= pop() r1 = pop() push (15) What is the value of r1 after the operations complete? O A. 9 OB. 15 OC. 20 O D. 42

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter18: Stacks And Queues
Section: Chapter Questions
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**Stack Operations and Value Determination**

Assume we have the following stack operations, where the numeric values are pushed onto the stack and popped off into variable (or register) `r1`:

```
push(42)
push(15)
r1 = pop()
push(9)
push(20)
r1 = pop()
r1 = pop()
r1 = pop()
push(15)
```

**Question:**
What is the value of `r1` after the operations complete?

**Options:**
- A. 9
- B. 15
- C. 20
- D. 42

**Explanation:**

1. **push(42)**: The stack is now [42].
2. **push(15)**: The stack becomes [42, 15].
3. **r1 = pop()**: Pop the top value (15), so `r1 = 15`. The stack is now [42].
4. **push(9)**: The stack updates to [42, 9].
5. **push(20)**: The stack updates to [42, 9, 20].
6. **r1 = pop()**: Pop the top value (20), so `r1 = 20`. The stack is now [42, 9].
7. **r1 = pop()**: Pop the top value (9), so `r1 = 9`. The stack is now [42].
8. **r1 = pop()**: Pop the top value (42), so `r1 = 42`. The stack is now empty [].
9. **push(15)**: The stack updates to [15].

After all operations, the final value of `r1` is 42.

**Correct Answer: D. 42**
Transcribed Image Text:**Stack Operations and Value Determination** Assume we have the following stack operations, where the numeric values are pushed onto the stack and popped off into variable (or register) `r1`: ``` push(42) push(15) r1 = pop() push(9) push(20) r1 = pop() r1 = pop() r1 = pop() push(15) ``` **Question:** What is the value of `r1` after the operations complete? **Options:** - A. 9 - B. 15 - C. 20 - D. 42 **Explanation:** 1. **push(42)**: The stack is now [42]. 2. **push(15)**: The stack becomes [42, 15]. 3. **r1 = pop()**: Pop the top value (15), so `r1 = 15`. The stack is now [42]. 4. **push(9)**: The stack updates to [42, 9]. 5. **push(20)**: The stack updates to [42, 9, 20]. 6. **r1 = pop()**: Pop the top value (20), so `r1 = 20`. The stack is now [42, 9]. 7. **r1 = pop()**: Pop the top value (9), so `r1 = 9`. The stack is now [42]. 8. **r1 = pop()**: Pop the top value (42), so `r1 = 42`. The stack is now empty []. 9. **push(15)**: The stack updates to [15]. After all operations, the final value of `r1` is 42. **Correct Answer: D. 42**
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