
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 girls' camp is located $600$ rods from a straight road. On this road, a boys' camp is located $800$ rods from the girls' camp, measuring along the road from the point directly opposite the girls' camp. It is now desired to find a point on the road that is exactly the same distance from each camp to build a canteen. Calculate the distance of the canteen from each camp.
A) 710 rods
B) 781 rods
C) 800 rods
D) 1000 rods
E) none of these

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