SIMUW 2006 problems

Please don't post solutions to this years problems. I would rather not have some kid google the answers and discover them here and then be accepted to SIMUW with no skill whatsoever. Please just email out answers amongst us...except to those that will be applying to SIMUW again.
Anyways,
Have fun
Kunal

P.S. PLEASE PLEASE PLEASE email me if you are interested in the SIGMA competition at Skyview High School. I would appreciate it if you could make it.

Another P.S. what happened when the ship carrying blue paint hit the ship carrying red paint?




..................................the sailors were marooned!!!