
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) An old African American man and a young African American man are carrying a beam. The young man is the son of the old man, but the old man is not the father of the young man. How is this possible?

b) A man says to his sister, "I am this boy's uncle." To which the sister replies, "I am not his aunt!" How can this be explained?

c) On a Budapest tram, there are two types of tickets for adults: a 70-filler transfer ticket and a 50-filler line ticket. An adult passenger boards a tram and wordlessly hands the conductor 1 forint. The conductor, also without speaking, gives the passenger a transfer ticket and 30 fillers. How did the conductor know that the passenger wanted a transfer ticket?

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