
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 grasshopper can jump along a strip of $n$ cells by 8, 9, or 10 cells in any direction. We call a natural number $n$ traversable if the grasshopper can start from a certain cell and visit every cell exactly once. Find at least one $n>50$ which is not traversable.

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