
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

It is required to construct a road paved with yellow bricks. The road will pass through an area where there is a straight section of a power line and a brick factory located at a distance \( d \) from the power line (\( d \neq 0 \)). For rhythmic operation, it is required that every point of the road be equidistant from the factory and the power line. Introduce a coordinate system so that the brick factory has coordinates \( (0,0) \) and the power line passes through the point \( (0,d) \) parallel to one of the coordinate axes. Find the coordinates of a point on the road that is at a distance of \( 5d \) from the factory.

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