
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
Three students named João, Maria, and José took a test with 100 questions, and each of them answered exactly 60 questions correctly. A question is classified as difficult if only one student answered it correctly and classified as easy if all three answered it correctly. We know that every one of the 100 questions was answered correctly by at least one student. Are there more difficult questions or easy ones? Additionally, determine the difference between the number of difficult and easy questions.

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