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## Monday, July 28, 2008

There are three Federation Officers assigned to take three hostile aliens to "Peace Talks" on another planet. However, they must follow the following rules:

* They have only one small space ship.
* Only two individuals can ride in the space ship each time.
* All Federation Officers can pilot the space ship, but only one alien can pilot the ship.
* If at any time there are both Federation Officers and aliens on a planet, then there must always be more (or the same number of) Federation Officers than aliens on that planet. This is because if there are more aliens than Federation Officers, then the aliens will kill the Federation Officers. Count any individual in the space ship when it is on one planet as being on that planet.
* The one space ship is the only means of transportation. There is no other way to get to the "Peace Talks". No one can exit the space ship while it is in flight.
* To start off, all the Federation Officers and aliens are on the same planet.

The Question: Can all Federation Officers and aliens get to the other planet alive, and if so: how?

Answer: Yes, all individuals can reach the other planet! Consider the following abbreviations for the individuals:

* F = Federation Officer
* A = alien that can fly the space ship
* a = alien that cannot fly the space ship

Then the flight schedule to reach the other planet will be: