
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
A four-row triangle is formed using unit rods and connectors. The first row uses 3 unit rods and connectors are used to join the vertices. Calculate the total number of pieces required to construct a twelve-row triangle using the same geometric pattern.

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