
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 ascetics live on the top of a vertical cliff of height \( h \) and at a distance from a neighboring village \( m \) times greater. One ascetic descends the cliff and then walks directly to the village. The other ascetic ascends to a certain height \( x \) and then flies directly to the village. If both of them travel the same distance, what is the height \( x \) that the second ascetic ascends to?

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