
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
Four friends want to subscribe to a "Family Package" where, after paying a certain amount, all four can send text messages to each other for free. However, they face a peculiar situation: the local options include only a $10 "three-person free" A package and a $5 "two-person free" B package. The friends think they could subscribe to several of these packages so that all members can use intermediate people to relay their messages to each other, achieving free communication between all. What are the minimum cost ways to subscribe to these plans?

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