
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 rectangular plot of land is almost square: its width and length are integer numbers in meters that differ by exactly 1 meter. The area of the plot, in square meters, is a 4-digit number where the thousands and hundreds digits are the same, and the tens and units digits are also the same. What are the possible dimensions of the plot?

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