
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
In a dance ensemble, there are 8 boys and 16 girls. Some of them form mixed dance pairs (a boy and a girl). It is known that in each pair, at least one of the partners is not part of any other pair. What is the maximum number of dance pairs that can be formed in this ensemble?

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