
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
Ray climbs a flight of stairs in two different ways. He can take the stairs $6$ at a time, leaving $4$ steps at the top. When he takes $7$ steps at a time, there are $3$ steps left. What is the smallest possible number of total steps $n$ that is greater than $10$?

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