
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
Let's consider a modified version of the previous game played between Bernardo and Silvia. An integer number between 0 and 999 inclusive is selected and given to Bernardo. Whenever Bernardo receives a number, he triples it and passes the result to Silvia. Whenever Silvia receives a number, she subtracts 20 from it and passes the result to Bernardo. The game continues until the person who produces a number greater than or equal to 1000 loses the game. Determine the smallest initial number \(N\) where Silvia is the last person to produce a valid number (under 1000).
A) 36
B) 44
C) 46
D) 48
E) 58

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