Number of leaves: 12
Number of cuts: 9


1. Internal edge:

Left:  1 3 7 
Right: 2 4 5 6 8 9 10 11 12 
------------------------
2. Internal edge:

Left:  1 2 3 6 7 
Right: 4 5 8 9 10 11 12 
------------------------
3. Internal edge:

Left:  1 3 4 5 7 8 9 10 11 12 
Right: 2 6 
------------------------
4. Internal edge:

Left:  2 3 4 5 6 8 9 10 11 12 
Right: 1 7 
------------------------
5. Internal edge:

Left:  1 2 3 4 6 7 9 10 11 
Right: 5 8 12 
------------------------
6. Internal edge:

Left:  1 2 3 5 6 7 8 12 
Right: 4 9 10 11 
------------------------
7. Internal edge:

Left:  1 2 3 5 6 7 8 9 11 12 
Right: 4 10 
------------------------
8. Internal edge:

Left:  1 2 3 4 5 6 7 8 10 12 
Right: 9 11 
------------------------
9. Internal edge:

Left:  1 2 3 4 5 6 7 9 10 11 
Right: 8 12 
------------------------

Rooted tree: root = 4. Internal edge