
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
The quiz participants were asked four questions: 90 participants answered the first question correctly, 50 answered the second correctly, 40 answered the third correctly, and 20 answered the fourth correctly. No one was able to answer more than two questions correctly. What is the minimum number of participants in the quiz under these conditions?

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