
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
Bernardo and Silvia play a modified game where an integer between 0 and 999, inclusive, is selected and given to Bernardo. When Bernardo receives a number, he triples it instead and passes the result to Silvia. When Silvia receives a number, she adds 100 to it and then passes the result back to Bernardo. The winner is the last person whose action results in a number less than 1000. Find the smallest initial number \( N \) that leads to a win for Bernardo. What is the sum of the digits of \( N \)?
A) 10
B) 11
C) 12
D) 13
E) 14

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