Coloring Brothers

Do you know the game “彩色兄弟”, in English, Coloring Brothers?
I think you don’t.
Because this game is newly created by us!!

This game is based on 4 coloring theorem in mathematics, but is NOT difficult so that children can play!!

What you only do in the game is FLIP.
FLIP is an operation that you exchange two neighboring vertices.
You can’t color two neighboring vertices with the same color.
Can you color all the vertices?