B6F- Karyotype Worksheet | Study notes Health sciences | Docsity - Free Printable

Problem Analysis:

The task involves analyzing a given sequence of operations on a stack and determining the resulting state of the stack after each operation. The operations include:

1. Push: Adds an element to the top of the stack.
2. Pop: Removes the top element from the stack.
3. Peek: Returns the top element of the stack without removing it.

Additionally, there are specific questions about the stack's behavior under certain conditions.

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Step-by-Step Solution:

#### Initial Stack State:
The stack starts empty: `[]`.

#### Sequence of Operations:
We will process each operation step by step and update the stack accordingly.

1. Push 5
- Operation: Push 5
- Stack: `[5]`

2. Push 3
- Operation: Push 3
- Stack: `[5, 3]`

3. Peek
- Operation: Peek
- Top element: `3`
- Stack remains: `[5, 3]`

4. Pop
- Operation: Pop
- Removed element: `3`
- Stack: `[5]`

5. Push 7
- Operation: Push 7
- Stack: `[5, 7]`

6. Pop
- Operation: Pop
- Removed element: `7`
- Stack: `[5]`

7. Push 9
- Operation: Push 9
- Stack: `[5, 9]`

8. Peek
- Operation: Peek
- Top element: `9`
- Stack remains: `[5, 9]`

9. Pop
- Operation: Pop
- Removed element: `9`
- Stack: `[5]`

10. Push 2
- Operation: Push 2
- Stack: `[5, 2]`

11. Pop
- Operation: Pop
- Removed element: `2`
- Stack: `[5]`

12. Push 8
- Operation: Push 8
- Stack: `[5, 8]`

13. Peek
- Operation: Peek
- Top element: `8`
- Stack remains: `[5, 8]`

14. Pop
- Operation: Pop
- Removed element: `8`
- Stack: `[5]`

15. Push 4
- Operation: Push 4
- Stack: `[5, 4]`

16. Pop
- Operation: Pop
- Removed element: `4`
- Stack: `[5]`

17. Push 6
- Operation: Push 6
- Stack: `[5, 6]`

18. Peek
- Operation: Peek
- Top element: `6`
- Stack remains: `[5, 6]`

19. Pop
- Operation: Pop
- Removed element: `6`
- Stack: `[5]`

20. Push 1
- Operation: Push 1
- Stack: `[5, 1]`

21. Pop
- Operation: Pop
- Removed element: `1`
- Stack: `[5]`

22. Push 0
- Operation: Push 0
- Stack: `[5, 0]`

23. Peek
- Operation: Peek
- Top element: `0`
- Stack remains: `[5, 0]`

24. Pop
- Operation: Pop
- Removed element: `0`
- Stack: `[5]`

25. Push 10
- Operation: Push 10
- Stack: `[5, 10]`

26. Peek
- Operation: Peek
- Top element: `10`
- Stack remains: `[5, 10]`

27. Pop
- Operation: Pop
- Removed element: `10`
- Stack: `[5]`

28. Push 12
- Operation: Push 12
- Stack: `[5, 12]`

29. Peek
- Operation: Peek
- Top element: `12`
- Stack remains: `[5, 12]`

30. Pop
- Operation: Pop
- Removed element: `12`
- Stack: `[5]`

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Final Stack State:

After all operations, the stack contains: `[5]`.

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Answers to Specific Questions:

1. What is the top element of the stack after all operations?
- Answer: `5`

2. How many elements are in the stack at the end?
- Answer: `1`

3. What is the result of the last "Peek" operation?
- Answer: `12`

4. If you were to perform one more "Pop" operation, what would happen?
- Answer: The stack would become empty (`[]`), and the operation would remove the element `5`.

5. If you were to perform one more "Push" operation with the value 20, what would the stack look like?
- Answer: The stack would be `[5, 20]`.

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Characteristic Conditions and Examples:

| Characteristic Condition | Example of Behavior |
|--------------------------|---------------------|
| Stack is Empty | After starting or after popping the last element. |
| Stack is Full | Not applicable here since the stack size is not limited. |
| Push Operation | Adds an element to the top of the stack. |
| Pop Operation | Removes the top element from the stack. |
| Peek Operation | Returns the top element without removing it. |

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Final Answer:

\[
\boxed{[5]}
\]