
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
Example 10: Three people, A, B, and C, together solved 100 math problems. Each of them solved 60 of these problems. Let's call the problems that only one person solved "difficult problems" and the ones that all three solved "easy problems". The question is: Are there more difficult problems or easy problems? And by how many?

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