
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 symmetric kite-shaped field where two adjacent sides are 100 meters each and meet at a $120^\circ$ angle. The other two adjacent sides are 70 meters each and meet at a $120^\circ$ angle. At harvest, the crop at any point in the field is brought to the nearest point on the field's boundary. What is the fraction of the crop that is brought to the longer diagonal of the kite?

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