
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 new game between Bernardo and Silvia, an integer between 0 and 999 inclusive is selected and given to Bernardo. Bernardo doubles any number he receives, and then passes it to Silvia. Silvia, upon receiving any number, adds 30 (instead of 50) and then passes it back to Bernardo. The winner is the last person who produces a number less than 1000. Determine the smallest initial number $N$ that results in a win for Bernardo. What is the sum of the digits of $N$?
A) 6 
B) 7 
C) 8 
D) 9 
E) 10

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