
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 the given $5 \times 5$ grid, there are 6 letters. Divide the grid along the lines to form 6 small rectangles (including squares) of different areas, so that each rectangle contains exactly one letter, and each letter is located in a corner square of its respective rectangle. If each of these six letters is equal to the area of the rectangle it is in, what is the five-digit number $\overline{\mathrm{ABCDE}}$?

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