For extra credit, my teacher expects us to solve one of the many Four Color Theorem puzzels. But, we must only color ten or less regions with the fourth color. A picture of the group of regions can be found here. Note, that all of the regions use each color more then eleven times. So, I cannot use it to cheat.

I am not expecting an answer, but any way of going at this would be helpful. My mom will not let me rest until I get this completed. <_<

Oh, and it is due tomorrow! :O ;_;