
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 parallelogram has been planted uniformly with wheat. The sides are 120 m and 80 m long with adjacent angles being $60^\circ$ and $120^\circ$. At harvest, the wheat at any point in the field is carried 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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