
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
We will call a four-digit number "beautiful" if no digit can be appended to its right side to form a five-digit number that is divisible by 11. How many beautiful numbers are there between 3100 and 3600?

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