
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
Let $A$ be any set of 11 real numbers. Define the set $B = \{uv \mid u, v \in A, u \neq v\}$. Find the minimum number of elements in $B$.

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