
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that each of the numbers  $n$ ,  $n+1$ ,  $n+2$ ,  $n+3$  is divisible by its sum of digits in its decimal representation and the number in ones column of  $n$  is  $8$ , determine the number of different values the tens column of  $n$  can have.

Present the answer in LaTex format: \boxed{Your answer}
user