that...shouldn't be possible I don't think. You have to move your center of gravity forward without a counterbalance. I assumed hindu squats because that's what people normally go for with high rep bodyweight squats.
This is kind of what it looks like (except I put my hands behind my head or cross my arms). I'm fairly sure my knees don't go over my toes by more than an inch or two.
have you tried pistol squats? Doing those while holding a kettlebell has a better chance of maintaining your leg strength.
Try to predict something important in a way, that it will be easy to judge it in 2014, how (in)accurate your predictions really were. Don't leave too much space for a doubt what was really said.