
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 complex geometric structure is built using two layers of equilateral triangles made of toothpicks. The lower layer is a large equilateral triangle consisting of small equilateral triangles with \( 100 \) small triangles in the base row. The upper layer is similar but shifted slightly so each triangle is centered on the edges of the triangles in the lower layer, starting with \( 99 \) triangles at the base. Determine the total number of toothpicks required to construct this entire structure.
A) 15400
B) 15596
C) 15600
D) 20000

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