
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
In daily life, passwords are commonly used for activities such as withdrawing money and accessing the internet. One method to generate passwords is through "factorization" of expressions, making them easier to remember. For example, for the polynomial $x^{4}-y^{4}$, the result of factorization is $\left(x-y\right)\left(x+y\right)(x^{2}+y^{2})$. If we take $x=9$ and $y=9$, then the values of each factor are: $x-y=0$, $x+y=18$, $x^{2}+y^{2}=162$. Therefore, we can use "$018162$" as a six-digit password. For the polynomial $32x^{3}-8xy^{2}$, if we take $x=10$ and $y=10$, the password generated using the above method is ________. (Write down one answer)

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