
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
Find the value of 
$$
\begin{aligned}
p= & (1-1993)\left(1-1993^{2}\right) \cdots\left(1-1993^{1993}\right)+1993\left(1-1993^{2}\right)\left(1-1993^{3}\right) \cdots\left(1-1993^{1993}\right)+ \\
& 1993^{2}\left(1-1993^{3}\right) \cdots\left(1-1993^{1993}\right)+1993^{3}\left(1-1993^{4}\right) \cdots\left(1-1993^{1993}\right)+\cdots+ \\
& 1993^{1992}\left(1-1993^{1993}\right)+1993^{1993} .
\end{aligned}
$$

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