
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
To enter the castle Arithmos, you need to enter a code: write sequentially in ascending order the first 10 prime numbers of the natural series. In the resulting multi-digit number, without rearranging the digits, cross out half of the digits so that the remaining ones form: a) the smallest possible number; b) the largest possible number. Find these numbers.

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