
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 nine lines parallel to the base of a triangle divide the other two sides into 10 equal segments and thus divide the area into 10 different parts, with the largest of these parts having an area of 38, determine the area of the original triangle.

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