
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
Is it possible to create a ten-digit number, using each digit exactly once, that is divisible by 1980?

Note: To solve this problem, an additional piece of information about divisibility by 11 is needed. If the difference between the sums of the digits in the even and odd positions (alternating sum of the digits) is divisible by 11, then the number is divisible by 11.

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