
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 largest positive integer  $n$  not divisible by  $10$  which is a multiple of each of the numbers obtained by deleting two consecutive digits (neither of them in the first or last position) of  $n$ . (Note:  $n$  is written in the usual base ten notation.)

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