
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
The number 1 is written on the board. If the number \( a \) is written on the board, it can be replaced with any number of the form \( a + d \), where \( d \) is coprime with \( a \) and \( 10 \leq d \leq 20 \). Can the number \( 18! = 1 \cdot 2 \cdot 3 \cdot \ldots \cdot 18 \) be obtained on the board after several such operations?

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