
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
The vertices of two cones with a common base of radius \( R \) and heights \( H \) and \( h \) are located on opposite sides of the base. Find the angle and the distance between the two generatrices of these cones, given that their ends on the circumference of the base form a quarter of the circumference.

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