Your experiment of creating 2 teams would be an interesting one. But I think one team should be given 2 weeks and the other team should be given 1 (or less), a

Your experiment of creating 2 teams would be an interesting one. But I think one team should be given 2 weeks and the other team should be given 1 (or less), and they cannot know of the other team or that they're trying to solve the same problem. If teams are in direct competition with each other, you get that sibling rivalry effect that almost tore Apple apart (Machintosh vs II).