
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 mathematics club is constructing a large equilateral triangle using toothpicks to create rows of small equilateral triangles. In this configuration, there are $5$ rows, with the base row containing $100$ small triangles. Each subsequent row has one less triangle than the row below it. However, every alternate row starting from the second row uses double-sided colored toothpicks which are counted as two toothpicks. How many toothpicks are required in total to construct this large equilateral triangle?
A) 1560
B) 1617
C) 1650
D) 1700

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