Very good puzzle that makes one think on how to even touch.
I now need to cut MANY moves. :) (currently have it at 486).
EDIT: My next stop is 462.
EDIT2 (next day): My next stop is 450. Still very interesting! Hope to find the 394, soon.
EDIT 2 (next day): I later got stuck at 444, then I figured something new and got it near 400 and then pretty fast to 394. *************************************************************************************************************************************************************************************************