
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) What is the minimum number of people a group must have to ensure that there will be at least 3 people with the same Greek Zodiac sign?

b) In the Chinese Zodiac, there are also exactly 12 signs. If João wants to be certain that in a given group there will be two people possessing exactly the same signs in both the Greek and Chinese Zodiacs, what is the minimum number of people this group must have?

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