
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. An integer between $0$ and $499$ inclusive is selected and given to Bernardo. When Bernardo receives a number, he triples it and passes the result to Silvia. Every time Silvia receives a number, she adds $25$ to it and then gives it back to Bernardo. The game is won by the last person who produces a number less than $500$. Find the smallest initial number $N$ that allows Bernardo to win the game. 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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