
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
Consider the following sequences:
- Sequence $A$: A geometric sequence starting with $3$ and each subsequent term three times the previous one.
- Sequence $B$: An arithmetic sequence starting with $10$ and each subsequent term increasing by $10$.

Each sequence stops as soon as a term is greater than $300$. Determine the least positive difference between any term in sequence $A$ and any term in sequence $B$.

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