
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
Two towers, one 30 steps tall and the other 40 steps tall, are 50 steps apart from each other. Between them, there is a fountain, to which two birds descend at the same time from the tops of the towers with the same speed and arrive simultaneously. What are the horizontal distances from the fountain to the two towers?

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