
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 $400$ rods from a straight road. Along this road, a boys' camp is located $700$ rods from the girls' camp. It is desired to build a canteen on the road such that it is equidistant from each camp. What should be the distance of the canteen from each of the camps?
A) 390 rods
B) 400 rods
C) 403 rods
D) 410 rods
E) 420 rods

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