
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
If three numbers are chosen simultaneously from the integers $1,2,\dots,14$ in such a way that the absolute value of the difference between any two numbers is not less than 3, how many different ways can this be done?

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