Deficiency = 0

etypes:
[0,0,0,2] 
types:
[0,0,0] 

------------------------------------------------

Deficiency = 1

iteration 1
etypes:
[0,1,2,2] [1,2,1,0] 
types:
[0,1,2] [1,2,1] 

iteration 2
etypes:
[0,1,2,2] [1,1,2,1] [1,2,1,0] [1,4,3,1] 
types:
[0,1,2] [1,1,2] [1,2,1] [1,4,3] 

------------------------------------------------

Deficiency = 2

iteration 1
etypes:
[0,0,2,2] [1,1,0,0] [1,3,0,0] [1,4,0,0] 
types:
[0,0,2] [1,1,0] [1,3,0] [1,4,0] 

iteration 2
etypes:
[0,0,2,2] [1,0,1,1] [1,0,2,1] [1,1,0,0] [1,1,2,1] [1,3,0,0] [1,4,0,0] [1,4,1,1] 
types:
[0,0,2] [1,0,1] [1,0,2] [1,1,0] [1,1,2] [1,3,0] [1,4,0] [1,4,1] 

iteration 3
etypes:
[0,0,2,2] [1,0,1,1] [1,0,2,1] [1,1,0,0] [1,1,2,1] [1,3,0,0] [1,3,2,1] [1,4,0,0] [1,4,1,1] [1,4,2,1] 
types:
[0,0,2] [1,0,1] [1,0,2] [1,1,0] [1,1,2] [1,3,0] [1,3,2] [1,4,0] [1,4,1] [1,4,2] 

------------------------------------------------

Deficiency = 3

iteration 1
etypes:
[0,0,1,2] [1,0,1,0] [1,0,2,0] [1,1,2,0] [1,3,1,0] [1,3,2,0] 
types:
[0,0,1] [1,0,1] [1,0,2] [1,1,2] [1,3,1] [1,3,2] 

iteration 2
etypes:
[0,0,1,2] [1,0,1,1] [1,0,1,0] [1,0,2,1] [1,0,2,0] [1,1,2,0] [1,3,1,0] [1,3,2,0] 
types:
[0,0,1] [1,0,1] [1,0,2] [1,1,2] [1,3,1] [1,3,2] 

------------------------------------------------

Deficiency = 4

iteration 1
etypes:
[0,0,1,2] [1,0,1,0] [1,0,2,0] 
types:
[0,0,1] [1,0,1] [1,0,2] 

iteration 2
etypes:
[0,0,1,2] [1,0,1,1] [1,0,1,0] [1,0,2,0] 
types:
[0,0,1] [1,0,1] [1,0,2] 

------------------------------------------------

Deficiency = 5

iteration 1
etypes:
[0,0,1,2] [1,0,1,0] 
types:
[0,0,1] [1,0,1] 

iteration 2
etypes:
[0,0,1,2] [1,0,1,1] [1,0,1,0] 
types:
[0,0,1] [1,0,1] 

------------------------------------------------

Deficiency = 6

iteration 1
etypes:
[0,0,1,2] [1,0,1,0] 
types:
[0,0,1] [1,0,1] 

iteration 2
etypes:
[0,0,1,2] [1,0,1,1] [1,0,1,0] 
types:
[0,0,1] [1,0,1]