
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
Given a 2x2 grid of unit squares, find the area of the triangle formed by connecting one vertex at the bottom left corner of the bottom left square to the top right corner of the top right square and another vertex at the top left corner of the bottom right square.

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