
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
A square with an integer side length was cut into 2020 smaller squares. It is known that the areas of 2019 of these squares are equal to 1, and the area of the 2020th square is not equal to 1. Find all possible values that the area of the 2020th square can take. In the answer, provide the smallest value among the possible areas.

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