
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
Two people play a math game. Player A selects a group of single-digit integers \( x_{1}, x_{2}, \cdots, x_{n} \) as the secret numbers, which can be positive or negative. Player B can ask questions about the sum \( a_{1} x_{1} + a_{2} x_{2} + \cdots + a_{n} x_{n} \), where \( a_{1}, a_{2}, \cdots, a_{n} \) can be any set of numbers. Determine the minimum number of questions Player B needs to ask in order to guess the secret numbers.

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