
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 mathematics, there are sometimes calculations involving large numbers. After learning the multiplication of polynomials, by converting numbers into polynomials using letters, we can simplify the calculations. For example, if $x=2018\times 2015$ and $y=2017\times 2016$, to compare $x$ and $y$, let $2017=a$. Then, $x=\left(a+1\right)\left(a-2\right)=a^{2}-a-2$ and $y=a\left(a-1\right)=a^{2}-a$. Since $a^{2}-a-2 \lt a^{2}-a$, we have $x \lt y$. Referring to the above solution process, calculate: $2021\times 2023-2022^{2}=$____.

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