
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 spy with a radio transmitter parachutes into a perfectly square forest measuring 10 by 10 kilometers. Upon landing, the spy immediately begins to transmit important information to the enemy.

At each of the four corners of the forest, there are radio direction finders, each of which can detect the transmitter up to a distance of 10 kilometers. For the counterintelligence to accurately determine the coordinates of the transmitter's location, it needs to be detected by at least two direction finders.

However, one of the direction finders is not working today. What is the probability that the counterintelligence will not be able to determine the coordinates of the spy's landing site?

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