
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
In a modified game, Bernardo and Silvia play with an integer between 0 and 999. Bernardo always doubles the number he receives, while Silvia now multiplies the number she receives by 3. The game ends when someone produces a number greater than or equal to 2000. Let $N$ be the smallest initial number such that Silvia is the last to play without breaching the 2000 limit. Find $N$.
A) 26
B) 27
C) 28
D) 29
E) 30

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