
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 new configuration where ten points are arranged in a 2x5 grid, spaced 1 unit apart both horizontally and vertically. Two triangles are formed: one from the bottom left corner to the top middle, down to the bottom right corner; and another from the top left corner to the bottom middle, up to the top right corner. Calculate the area, in square units, of the region where these two triangles overlap.

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