---
:cases:
- 1 1 1
- 1 1 2
- 1 2 1 1 1
- 1 2 1 1 2
- 1 2 1 2 1
- 1 2 1 2 2
- 1 2 2 1
- 1 2 2 2
- 1 3 1 1 1 1 1 1
- 1 3 1 1 1 1 1 2
- 1 3 1 1 1 1 2 1
- 1 3 1 1 1 1 2 2
- 1 3 1 1 1 2 1 1
- 1 3 1 1 1 2 1 2
- 1 3 1 1 1 2 2 1
- 1 3 1 1 1 2 2 2
- 1 3 1 1 2 1 1 1
- 1 3 1 1 2 1 1 2
- 1 3 1 1 2 1 2 1
- 1 3 1 1 2 1 2 2
- 1 3 1 1 2 2 1 1
- 1 3 1 1 2 2 1 2
- 1 3 1 1 2 2 2 1
- 1 3 1 1 2 2 2 2
- 1 3 1 2 1 1 1
- 1 3 1 2 1 1 2
- 1 3 1 2 1 2 1
- 1 3 1 2 1 2 2
- 1 3 1 2 2 1 1
- 1 3 1 2 2 1 2
- 1 3 1 2 2 2 1
- 1 3 1 2 2 2 2
- 1 3 2 1
- 1 3 2 2
- 2 1
- 2 2
- 3 1
- 3 2