
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
A field in the shape of a trapezoid has been uniformly planted with corn. The field is defined with angles of 60° and 120° at the vertices, and the lengths of the parallel sides are 120 m and 240 m respectively. At harvest, the corn at any point in the field is brought to the nearest point on the field's perimeter. What is the fraction of the crop that is brought to the longest side?

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