
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
Given that assembling equilateral triangles requires at least 3 sticks to form 1 equilateral triangle, at least 5 sticks to form 2 equilateral triangles, and at least 7 sticks to form 3 equilateral triangles, calculate the minimum number of sticks required to assemble 13 equilateral triangles.

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