
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 of equally spaced points with distance 1 unit between neighboring points. Two polygons are drawn in the grid:
1. Triangle A uses points (0,0), (3, 1), and (1, 3).
2. Triangle B uses points (3,3), (0,2), and (2,0).
Determine the area, in square units, of the region where the two triangles overlap.

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