
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
Consider a 4x4 grid where points are spaced 1 unit apart both horizontally and vertically. Calculate the area, in square units, of the overlapped region formed by two rectangles. The first rectangle extends from the bottom-left corner of the grid (0,0) to (3,2) and the second rectangle is placed from (1,1) to (4,3).

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