Painting before or after flooring?

Hi folks,
I've got a it of a dilemma!
I'm having the whole house painted.I'm also having to remove the current laminate flooring and have new flooring laid throughout the house.
Recently some work was done under the floors and there was a lot of dust so I'm not sure if I should have the painting done before lifting and having the new flooring put down or after?
I don't want to get the new painting marked with any dirt/dust and maybe even scratched when the laminate floor is being fitted but also don't want paint on my new floors.
What would be the best way to do it?Rip up the current floor and fit new floor and then have the painting done OR have all the paint work done first and then have the floor fitted?

How about having the new floor fitted first and then asking the painter how they will guarantee the new floor is not tarnished in any way?

He/she might suggest some extra expenditure, for example:

http://www.decoratingdirect.co.uk/viewprod/h/HARD_FLOOR_PROTECTA_FILM/

That's definitely an idea.Is that the way you think would be best?I'm also thinking of the nice newly painted woodwork possibly getting marked or dirty from lifting the old floor/under felt up.There's a lot of dust under there.
What is the way way it is typically done?
Has anyone done both and was there any advantages/disadvantages over each?
Thanks folks.

One thing to consider is whether you are fitting new skirting on top of the laminate or if you are just going up to the existing and using beading to cover the expansion gap. If the former, then it is always better to get the flooring down and skirting on before decorating as there can often be damage and filling required when fitting skirting, which means that you will have to patch up. You can lay the floor after decorating if you are only fitting to existing skirting.
Having said that, I always preferred to have all forms of wooden flooring laid before decorating so that I knew all the mess and patching was out of the way before I could finish the job off with the paint. After all, decorating is regarded as 'The Finishing Trade', and any decorator worth his salt will be able to protect a floor and not get splashes or runs onto it without too much trouble.