
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
Castaways are rowing in the sea at a speed of $v$. An airplane is flying directly towards them at a speed of $V$ at an altitude of $h$. At what distance from the boat should the pilot drop the emergency package so that it lands in the boat? What will this distance be if the airplane is flying after the boat; finally, if the boat is stationary on the water?

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