
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
For any real number  $x$ , we let  $\lfloor x \rfloor$  be the unique integer  $n$  such that  $n \leq x < n+1$ . For example.  $\lfloor 31.415 \rfloor = 31$ . Compute \[2020^{2021} - \left\lfloor\frac{2020^{2021}}{2021} \right  \rfloor (2021).\]


*2021 CCA Math Bonanza Team Round #3*

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