Slothouber–Graatsm's 5x5x5 cube

This "puzzle" is the Slothouber–Graatsm's cube.

Solution:
1 1 4 4 6
1 1 4 4 6
1 1 5 5 5
1 1 5 5 5
2 3 3 3 3

7 7 4 4 6
7 7 4 4 6
7 7 5 5 5
8 9 5 5 5
8 3 3 3 3

7 7 4 4 6
7 7 4 4 6
7 7 11 12 12
8 10 10 12 12
8 10 10 12 12

13 13 13 13 6
14 14 14 15 6
14 14 14 12 12
8 10 10 12 12
8 10 10 12 12

13 13 13 13 17
14 14 14 16 16
14 14 14 16 16
8 10 10 16 16
8 10 10 16 16