
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
Given two sets $A$ and $B$, satisfying $B \subseteq A$. If for any $x \in A$, there exist $a_i, a_j \in B (i \neq j)$, such that $x = \lambda_1 a_i + \lambda_2 a_j (\lambda_1, \lambda_2 \in \{-1,0,1\})$, then $B$ is called a base set of $A$. If $A = \{1,2,3,4,5,6,7,8,9,10\}$, then the minimum number of elements in the base set $B$ is ______.

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