
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 grasshopper can jump along a checkered strip for  $8, 9$  or  $10$  cells in any direction. A
natural number  $n$  is called jumpable if the grasshopper can start from some cell of a strip of
length  $n$  and visit every cell exactly once. Find at least one non-jumpable number  $n > 50$ .

*(Egor Bakaev)*

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