
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 large equilateral triangle and a smaller equilateral triangle are constructed side by side using toothpicks. Each triangle is created from rows of small equilateral triangles. The large triangle has 100 small triangles on its base, and the smaller triangle has 50 small triangles on its base. Calculate the total number of toothpicks required to construct both triangles.

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