
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 camp for young artists is located $400$ meters from a straight highway. Down this highway, a camp for young scientists is located $700$ meters from the artists' camp. The city plans to build a shared pavilion on the highway such that it's exactly the same distance from each camp. What is the distance of the pavilion from each of the camps?
- **A)** 400 meters
- **B)** 250 meters
- **C)** 464.29 meters
- **D)** 500 meters
- **E)** none of these

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