
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
In a village along a straight road, there are two houses $A$ and $B$ that are 50 meters apart. At what point on the road should a well be built so that the sum of the distances from the well to the houses is minimized?

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