
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 cycle of three conferences had a constant attendance, meaning that each session had the same number of participants. However, half of those who attended the first session did not return; a third of those who attended the second conference only attended that one, and a quarter of those who attended the third conference did not attend either the first or the second. Knowing that there were 300 registered participants and that each one attended at least one conference, determine:

a) How many people attended each conference?

b) How many people attended all three conferences?

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