
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
100 airplanes (one flagship and 99 supporting) simultaneously take off from point A. With a full tank of fuel, an airplane can fly 1000 km. During the flight, airplanes can transfer fuel to each other. An airplane that transfers its fuel to others makes a gliding landing. How should the flight be conducted so that the flagship travels the maximum possible distance?

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