
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
What number should be placed in place of \%, so that the following problem has a unique solution: "There are $n$ lines on the plane, intersecting at * points. Find $n$?"

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