
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
What is the value of the product
\[
\left(\frac{2\cdot4}{2\cdot2}\right)\left(\frac{3\cdot5}{3\cdot3}\right)\cdots\left(\frac{98\cdot100}{98\cdot98}\right)\left(\frac{99\cdot101}{99\cdot99}\right)\left(\frac{100\cdot102}{100\cdot100}\right)?
\]
A) 1.52
B) 2.00
C) 2.04
D) 2.08
E) 2.12

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