
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 the first 24 digits of $\pi$ as 3.14159265358979323846264…, when randomly selecting one digit at a time from these 24 digits, and sequentially noting them as $a_1$, $a_2$, …$a_{24}$, calculate the product $(a_1-a_2)(a_3-a_4)…(a_{23}-a_{24})$.

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