
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
A group consists of 5 girls and 5 boys. The members of the same gender do not know each other, and there are no two girls who have two mutual boy acquaintances. What is the maximum number of acquaintanceships within the group? How does the answer change if the group consists of 7 girls and 7 boys?

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