You were enjoying a pleasant weekend on a luxury cruise liner when
your ship was captured by pirates. These pirates don't like to take so
many prisoners, so they decide to execute all... but one of you.
In a circle around a big pillar, the pirates have labeled 1000 positions,
from 1 to 1000. Each captured passenger (including you!) is to choose
one of the positions and stand under the respective number.
Once all passengers are in place, the pirates execute passenger #1.
They then execute every OTHER person. So passenger #3 is next. They
continue killing every other person, even continuing around the circle
until finally 999 pasengers have been executed and only 1 is left,
who is spared.
Assuming you actually want to be the one who lives, which numbered
position will you choose?