level 0, bfs queue size 0
H H H H H H H H H H H H H 
2 3 4 5 6 7 8 9 T J Q K A 
level 1, bfs queue size 0
HH H H H H H H H H H H H 
32 4 5 6 7 8 9 T J Q K A 
level 2, bfs queue size 0
HHH H H H H H H H H H H 
432 5 6 7 8 9 T J Q K A 
level 3, bfs queue size 0
HHHH H H H H H H H H H 
5432 6 7 8 9 T J Q K A 
level 4, bfs queue size 0
HHHHH H H H H H H H H 
65432 7 8 9 T J Q K A 
level 5, bfs queue size 0
HHHHHH H H H H H H H 
765432 8 9 T J Q K A 
level 6, bfs queue size 0
HHHHHHH H H H H H H 
8765432 9 T J Q K A 
level 7, bfs queue size 0
HHHHHHHH H H H H H 
98765432 T J Q K A 
level 8, bfs queue size 0
HHHHHHHHH H H H H 
T98765432 J Q K A 
level 9, bfs queue size 0
HHHHHHHHHH H H H 
JT98765432 Q K A 
level 10, bfs queue size 0
HHHHHHHHHHH H H 
QJT98765432 K A 
level 11, bfs queue size 0
HHHHHHHHHHHH H 
KQJT98765432 A 
level 12, bfs queue size 0
HHHHHHHHHHHHH 
AKQJT98765432 

original hand
H H H H H H H H H H H H H 
2 3 4 5 6 7 8 9 T J Q K A 
move group 1 after group 2
HH H H H H H H H H H H H 
32 4 5 6 7 8 9 T J Q K A 
move group 1 after group 2
HHH H H H H H H H H H H 
432 5 6 7 8 9 T J Q K A 
move group 1 after group 2
HHHH H H H H H H H H H 
5432 6 7 8 9 T J Q K A 
move group 1 after group 2
HHHHH H H H H H H H H 
65432 7 8 9 T J Q K A 
move group 1 after group 2
HHHHHH H H H H H H H 
765432 8 9 T J Q K A 
move group 1 after group 2
HHHHHHH H H H H H H 
8765432 9 T J Q K A 
move group 1 after group 2
HHHHHHHH H H H H H 
98765432 T J Q K A 
move group 1 after group 2
HHHHHHHHH H H H H 
T98765432 J Q K A 
move group 1 after group 2
HHHHHHHHHH H H H 
JT98765432 Q K A 
move group 1 after group 2
HHHHHHHHHHH H H 
QJT98765432 K A 
move group 1 after group 2
HHHHHHHHHHHH H 
KQJT98765432 A 
move group 1 after group 2
HHHHHHHHHHHHH 
AKQJT98765432 
sorted in 12 moves
level 12, bfs queue size 0