
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
Find the probability that if the digits $0,1,2, \ldots, 9$ are placed in random order into the empty places in the row of digits

$$
5-383-8-2-936-5-8-203-9-3-76
$$

the resulting number will be divisible by 396.

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