
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 farmer said: "I have $N$ rabbits. Exactly 13 of them have long ears. Exactly 17 of them can jump far."

The traveler rightly noted: "Therefore, among your rabbits, at least 3 rabbits both have long ears and can jump far."

What is the maximum value that $N$ can be?

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