I actually think that this list is very accurate except for the following MINOR changes...
6 should be higher
2 should be where 5 is
5 can move to where 3 is
3 goes to 17
17 moves to 4
20 moves to 17
1 moves to 20
7 moves to 1
14 moves to 7
13 moves to 14
8 moves to 13
I'm sure I could think of some more changes but I'm not sure I want to push it.