The following tables list all cage size/target number combinations for which there is only one solution.
| target |
|
| 3 |
1 2 |
| 4 |
1 3 |
| 16 |
7 9 |
| 17 |
8 9 |
| target |
|
| 6 |
1 2 3 |
| 7 |
1 2 4 |
| 23 |
6 8 9 |
| 24 |
7 8 9 |
| target |
|
| 10 |
1 2 3 4 |
| 11 |
1 2 3 5 |
| 29 |
5 7 8 9 |
| 30 |
6 7 8 9 |
| target |
|
| 15 |
1 2 3 4 5 |
| 16 |
1 2 3 4 6 |
| 34 |
4 6 7 8 9 |
| 35 |
5 6 7 8 9 |
| target |
|
| 21 |
1 2 3 4 5 6 |
| 22 |
1 2 3 4 5 7 |
| target |
|
| 28 |
1 2 3 4 5 6 7 |
| 29 |
1 2 3 4 5 6 8 |
| target |
|
| 36 |
1 2 3 4 5 6 7 8 |
| 37 |
1 2 3 4 5 6 7 9 |
| 38 |
1 2 3 4 5 6 8 9 |
| 39 |
1 2 3 4 5 7 8 9 |
| 40 |
1 2 3 4 6 7 8 9 |
| 41 |
1 2 3 5 6 7 8 9 |
| 42 |
1 2 4 5 6 7 8 9 |
| 43 |
1 3 4 5 6 7 8 9 |
| 44 |
2 3 4 5 6 7 8 9 |
| target |
|
| 45 |
1 2 3 4 5 6 7 8 9 |