Input: 1 2 3 4 1 0
Gadget:
0.25: 1 3       (DICUT)
0.75: 1 6       (DICUT)
1.50: 1 11      (DICUT)
0.25: 2 1       (DICUT)
0.50: 2 3       (DICUT)
0.75: 2 7       (DICUT)
1.00: 2 9       (DICUT)
0.75: 3 6       (DICUT)
0.75: 3 10      (DICUT)
1.00: 4 9       (DICUT)
1.00: 5 1       (DICUT)
0.75: 6 8       (DICUT)
0.75: 7 1       (DICUT)
0.75: 8 2       (DICUT)
1.00: 9 5       (DICUT)
0.75: 10 7      (DICUT)
1.50: 11 2      (DICUT)
0.50: 11 3      (DICUT)
1.00: 11 4      (DICUT)