The 3n+1 Problem, also known as the Collatz Conjecture, is a mathematical problem that asks you to determine the number of steps it takes to reach 1 by repeatedly applying the following rules to a positive integer `n`

:

- If
`n`

is even, divide it by 2. - If
`n`

is odd, multiply it by 3 and add 1.

Here is an example of how to solve this problem in Python:

```
def collatz(n):
steps = 0
while n != 1:
if n % 2 == 0:
n //= 2
else:
n = 3*n + 1
steps += 1
return steps
# test the function with a sample input
n = 27
print(collatz(n))
```

In this solution, we define a function `collatz`

that takes a positive integer `n`

as input. The function initializes a variable `steps`

to 0 to count the number of steps.

The function then repeatedly applies the rules of the 3n+1 problem until `n`

reaches 1. If `n`

is even, the function divides it by 2 using integer division (`//`

). If `n`

is odd, the function multiplies it by 3 and adds 1. The function increments the `steps`

counter after each step.

After reaching 1, the function returns the number of steps taken to reach 1.

In the main part of the script, we test the function with a sample input integer `n`

and print out the result.

To use this code with other inputs, simply replace `n`

with the desired input integer.

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