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Question 2: Observe the following Python code very carefully and find the output.
```python
def cycle_length(n):
cycleList = []
cycleList.append(n)
while n > 1:
if n % 2 == 1:
n = 3 * n + 1
cycleList.append(n)
else:
n = n // 2
cycleList.append(n)
return cycleList

num = int(input('Enter a positive integer number: '))
print(cycle_length(num))
```

Sagot :

GinnyAnsweridn
To find the output of the given question, let's break down and correct it step-by-step, and then analyze the logic to derive the result.

1. Understand the Problem Statement:
You are given a function that is supposed to compute the "cycle length" of a number based on a specific mathematical process:
- If the number is odd, multiply it by 3 and add 1.
- If the number is even, divide it by 2.
- Repeat the process until the number becomes 1.

2. Correcting the Syntax Errors:
- The closing bracket `}` is incorrect and should be replaced by the assignment operator `=` inside the while loop.
- The `3n+` should be corrected to `3 n + 1`.
- The formatting of `=` should be corrected to `//` for integer division.
- There should also be no LaTeX formatting in Python code.

3. Python Code Analysis:
- Initialize `cycleList` to store the numbers in the sequence.
- Append the starting number `n` to the `cycleList`.
- Use a `while` loop that continues until `n` becomes 1.
- Within the loop:
- If `n` is odd (`n % 2 == 1`), set `n` to `3 n + 1` and append it to the `cycleList`.
- Otherwise, set `n` to `n // 2` (integer division by 2) and append it to the `cycleList`.
- Repeat until `n` is 1.
- Return the `cycleList` and the length of this list.

4. Example with Input Number 10:
Here's the step-by-step process for `n = 10`:
- Start with 10. Even, so divide by 2 -> 5.
- Now 5. Odd, so `3 5 + 1` -> 16.
- Now 16. Even, so divide by 2 -> 8.
- Now 8. Even, so divide by 2 -> 4.
- Now 4. Even, so divide by 2 -> 2.
- Now 2. Even, so divide by 2 -> 1.
- The sequence ends since `n` is now 1.

5. Result and Cycle Length:
- The sequence for the input 10 is `[10, 5, 16, 8, 4, 2, 1]`
- The length of this sequence is 7.

Therefore, the detailed steps for the given problem yield the sequence `[10, 5, 16, 8, 4, 2, 1]` with a length of 7.

Hence, the output for the given problem is:
```
([10, 5, 16, 8, 4, 2, 1], 7)
```
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