
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
Two players take turns to write natural numbers on a board. The rules forbid writing numbers greater than 10 and also divisors of previously written numbers. The player who has no move loses. Determine which player has a winning strategy for \( \mathrm{p} = 10 \) and describe this strategy.

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