Given the following assumptions:

$$ a flight has a unique flight number, a passenger has a unique name, and a pilot has a unique name;

$$ a flight is always handled by one airline;

$$ a flight can have multiple passengers and a passenger can do multiple flights;

$$ a flight has one pilot and a pilot can do multiple flights;

$$ a flight is always handled by exactly one airplane;

normalize the following relation up to BCNF:

FLIGHT$($flightnumber$,$ flighttime, airlinename, passenger$($passengername$,$ gender, date$\_$of$\_$birth$),$ pilot$($pilotname$,$ gender, date$\_$of$\_$birth$),$ departure$\_$city, arrival$\_$city, airplane$($planeID$,$ type, seats$))$