Four Color Theorem Help

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 ;_;

Tomorrow has come.

Thanks for your help. <_<

*Consider this thread locked until I get a mod.*