
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
Six straight lines lie in the same plane, no two of which are parallel, and no three of which are concurrent. Calculate the number of regions these six lines divide the plane into.

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