Multisets with 4 Elements
n=5, k=4, 70 multisets
Rectangle 14x5
| 2-2-2-2 | 2-2-2-4 | 2-2-4-4 | 2-4-4-4 | 4-4-4-4 | 4-4-4-5 | 4-4-5-5 | 4-5-5-5 | 5-5-5-5 | 3-5-5-5 | 1-3-5-5 | 1-1-5-5 | 1-1-1-5 | 1-1-2-5 |
| 1-2-2-2 | 1-2-2-4 | 1-2-4-4 | 1-4-4-4 | 3-4-4-4 | 3-4-4-5 | 3-4-5-5 | 2-4-5-5 | 2-5-5-5 | 1-5-5-5 | 1-4-5-5 | 1-1-4-5 | 1-1-3-5 | 1-1-2-3 |
| 1-1-2-2 | 1-1-2-4 | 1-1-4-4 | 1-3-4-4 | 3-3-4-4 | 3-3-4-5 | 3-3-5-5 | 2-3-5-5 | 2-2-5-5 | 1-2-5-5 | 1-2-4-5 | 1-4-4-5 | 1-3-4-5 | 1-2-3-5 |
| 1-1-1-2 | 1-1-1-4 | 1-1-3-4 | 1-3-3-4 | 3-3-3-4 | 3-3-3-5 | 2-3-3-5 | 2-2-3-5 | 2-2-2-5 | 1-2-2-5 | 2-2-4-5 | 2-4-4-5 | 2-3-4-5 | 1-2-3-4 |
| 1-1-1-1 | 1-1-1-3 | 1-1-3-3 | 1-3-3-5 | 1-3-3-3 | 3-3-3-3 | 2-3-3-3 | 2-2-3-3 | 2-2-2-3 | 1-2-2-3 | 2-2-3-4 | 2-3-4-4 | 2-3-3-4 | 1-2-3-3 |
The Rectangle of size 10x7 with real pieces.
You can also get a spiral, and it's easy because the number of touching sides is much lower.
n=6, k=4, 126 multisets
Rectangle 42x3
With multisets from 1..6
| 2-3-3-3 | 3-3-3-5 | 3-3-4-5 | 3-4-4-5 | 4-4-4-5 | 4-4-5-6 | 4-4-6-6 | 2-4-6-6 | 2-2-6-6 | 1-2-2-6 | 1-1-2-2 | 1-2-2-4 | 2-2-4-5 | 2-4-5-6 | 4-5-6-6 | 4-6-6-6 | 3-4-6-6 | 3-3-6-6 | 2-3-6-6 | 1-2-3-6 | 1-1-2-3 | 1-1-2-4 | 1-1-4-4 | 1-1-4-6 | 1-4-6-6 | 1-2-4-6 | 1-2-3-4 | 1-2-4-5 | 1-1-4-5 | 1-1-5-5 | 1-5-5-6 | 1-2-5-5 | 2-4-5-5 | 4-5-5-6 | 3-4-5-6 | 2-3-4-6 | 2-2-3-4 | 2-2-3-6 | 2-3-5-6 | 3-5-6-6 | 1-5-6-6 | 1-4-5-6 |
| 3-3-3-6 | 1-3-3-3 | 1-3-3-4 | 1-3-4-4 | 1-4-4-4 | 4-4-4-6 | 2-4-4-6 | 2-2-4-6 | 2-2-2-6 | 1-2-2-2 | 1-2-2-3 | 1-2-2-5 | 2-2-2-5 | 2-2-5-6 | 2-5-6-6 | 2-6-6-6 | 3-6-6-6 | 1-3-6-6 | 1-2-6-6 | 1-1-2-6 | 1-1-1-2 | 1-1-1-4 | 1-1-3-4 | 1-1-3-6 | 1-3-4-6 | 1-4-4-6 | 1-2-4-4 | 1-4-4-5 | 1-4-5-5 | 1-5-5-5 | 5-5-5-6 | 2-5-5-5 | 2-3-5-5 | 3-5-5-6 | 3-4-5-5 | 2-3-4-5 | 2-3-3-4 | 2-3-3-6 | 3-3-5-6 | 1-3-5-6 | 1-1-5-6 | 1-2-5-6 |
| 3-3-3-3 | 3-3-3-4 | 3-3-4-4 | 3-4-4-4 | 4-4-4-4 | 2-4-4-4 | 2-2-4-4 | 2-2-2-4 | 2-2-2-2 | 2-2-2-3 | 2-2-3-3 | 2-2-3-5 | 2-2-5-5 | 2-5-5-6 | 5-5-6-6 | 5-6-6-6 | 6-6-6-6 | 1-6-6-6 | 1-1-6-6 | 1-1-1-6 | 1-1-1-1 | 1-1-1-3 | 1-1-3-3 | 1-3-3-6 | 3-3-4-6 | 3-4-4-6 | 2-3-4-4 | 2-4-4-5 | 4-4-5-5 | 4-5-5-5 | 5-5-5-5 | 3-5-5-5 | 3-3-5-5 | 1-3-5-5 | 1-3-4-5 | 1-2-3-5 | 2-3-3-5 | 1-2-3-3 | 1-3-3-5 | 1-1-3-5 | 1-1-1-5 | 1-1-2-5 |
Rectangle 21x6
With multisets from 1..6
| 6-6-6-6 | 5-6-6-6 | 5-5-6-6 | 5-5-5-6 | 5-5-5-5 | 3-5-5-5 | 3-4-5-5 | 3-4-4-5 | 3-4-4-4 | 2-3-4-4 | 1-2-4-4 | 1-1-2-4 | 1-2-4-5 | 2-4-4-5 | 4-4-5-6 | 3-4-5-6 | 3-4-4-6 | 3-3-4-4 | 1-3-4-4 | 1-2-3-4 | 1-2-3-5 |
| 2-6-6-6 | 2-5-6-6 | 2-5-5-6 | 2-5-5-5 | 1-5-5-5 | 4-5-5-5 | 4-4-5-5 | 4-4-4-5 | 4-4-4-4 | 2-4-4-4 | 2-2-4-4 | 1-2-2-4 | 2-2-4-5 | 2-4-5-5 | 4-5-5-6 | 1-4-5-6 | 1-3-4-6 | 1-3-3-4 | 1-1-3-4 | 1-3-4-5 | 1-3-3-5 |
| 2-2-6-6 | 2-2-5-6 | 2-2-5-5 | 1-2-5-5 | 1-1-5-5 | 1-4-5-5 | 1-4-4-5 | 1-4-4-4 | 4-4-4-6 | 2-4-4-6 | 2-2-4-6 | 2-2-3-4 | 2-3-4-5 | 2-3-5-5 | 3-5-5-6 | 1-3-5-6 | 1-3-3-6 | 1-2-3-3 | 1-1-3-3 | 1-1-3-5 | 1-3-5-5 |
| 2-2-2-6 | 2-2-2-5 | 1-2-2-5 | 1-1-2-5 | 1-1-1-5 | 1-1-4-5 | 1-1-4-4 | 1-4-4-6 | 4-4-6-6 | 2-4-6-6 | 2-3-4-6 | 2-3-3-4 | 3-3-4-5 | 3-3-5-5 | 3-3-5-6 | 3-5-6-6 | 1-3-6-6 | 1-2-3-6 | 1-1-3-6 | 1-1-5-6 | 1-5-5-6 |
| 2-2-2-4 | 2-2-2-3 | 1-2-2-3 | 1-1-2-3 | 1-1-1-3 | 1-1-1-4 | 1-1-4-6 | 1-4-6-6 | 4-6-6-6 | 3-4-6-6 | 3-3-4-6 | 3-3-3-4 | 3-3-3-5 | 2-3-3-5 | 2-3-3-6 | 2-3-5-6 | 2-3-6-6 | 1-2-6-6 | 1-1-2-6 | 1-2-5-6 | 1-5-6-6 |
| 2-2-2-2 | 1-2-2-2 | 1-1-2-2 | 1-1-1-2 | 1-1-1-1 | 1-1-1-6 | 1-1-6-6 | 1-6-6-6 | 3-6-6-6 | 3-3-6-6 | 3-3-3-6 | 3-3-3-3 | 1-3-3-3 | 2-3-3-3 | 2-2-3-3 | 2-2-3-5 | 2-2-3-6 | 1-2-2-6 | 1-2-4-6 | 2-4-5-6 | 4-5-6-6 |
Rectangle 18x7
With multisets from 1..6
| 2-2-2-4 | 2-2-4-6 | 2-2-6-6 | 2-5-6-6 | 5-5-6-6 | 1-5-5-6 | 1-4-5-5 | 1-2-4-5 | 1-2-4-6 | 1-4-6-6 | 1-6-6-6 | 6-6-6-6 | 5-6-6-6 | 1-5-6-6 | 1-2-6-6 | 1-1-6-6 | 1-1-1-6 | 1-1-1-4 |
| 2-2-2-3 | 2-2-2-6 | 2-2-5-6 | 2-5-5-6 | 5-5-5-6 | 4-5-5-6 | 2-4-5-5 | 2-2-4-5 | 2-4-5-6 | 4-5-6-6 | 4-6-6-6 | 2-6-6-6 | 3-6-6-6 | 3-5-6-6 | 1-3-6-6 | 1-1-3-6 | 1-1-5-6 | 1-1-4-6 |
| 2-2-2-2 | 2-2-2-5 | 2-2-5-5 | 2-5-5-5 | 5-5-5-5 | 4-5-5-5 | 4-4-5-5 | 2-4-4-5 | 2-4-4-6 | 4-4-5-6 | 4-4-6-6 | 2-4-6-6 | 3-4-6-6 | 3-3-6-6 | 2-3-6-6 | 1-2-3-6 | 1-2-5-6 | 1-1-2-6 |
| 1-2-2-2 | 1-2-2-5 | 1-2-5-5 | 1-5-5-5 | 3-5-5-5 | 3-4-5-5 | 3-4-4-5 | 4-4-4-5 | 4-4-4-6 | 1-4-4-6 | 3-4-4-6 | 2-3-4-6 | 3-3-4-6 | 3-3-3-6 | 2-3-3-6 | 1-2-3-3 | 1-2-3-5 | 1-1-2-3 |
| 1-1-2-2 | 1-1-2-5 | 1-1-5-5 | 1-3-5-5 | 3-3-5-5 | 3-3-4-5 | 3-3-4-4 | 3-4-4-4 | 4-4-4-4 | 1-4-4-4 | 1-3-4-4 | 1-3-4-6 | 1-3-3-4 | 1-3-3-6 | 3-3-5-6 | 2-3-3-5 | 2-3-4-5 | 1-2-3-4 |
| 1-1-1-2 | 1-1-1-5 | 1-1-3-5 | 1-3-3-5 | 3-3-3-5 | 3-3-3-4 | 2-3-3-4 | 2-3-4-4 | 2-4-4-4 | 1-2-4-4 | 1-1-4-4 | 1-1-3-4 | 1-3-4-5 | 1-3-5-6 | 3-5-5-6 | 2-3-5-5 | 2-2-3-5 | 1-2-2-3 |
| 1-1-1-1 | 1-1-1-3 | 1-1-3-3 | 1-3-3-3 | 3-3-3-3 | 2-3-3-3 | 2-2-3-3 | 2-2-3-4 | 2-2-4-4 | 1-2-2-4 | 1-1-2-4 | 1-1-4-5 | 1-4-4-5 | 1-4-5-6 | 3-4-5-6 | 2-3-5-6 | 2-2-3-6 | 1-2-2-6 |
The rectangle 14x9 has the shortest perimeter and the highest number of touching sides.
The spiral has the lowest number of touching sides among all shown figures with these multisets.
n=7, k=4, 210 multisets
The pieces are made from foam rubber sticked on white squares. In the upper part there are seven columns with
all pieces with three or two same colored elements of one color. In the lower section we have 7C2=21 pieces
with two pairs of same colored elements, seven pieces with all elements same colored and
7C4=35 pieces with all elements different.
The 15x14 rectangle was constructed using the 10x7 rectangle made of multisets from five colors as shown above.
It was rather hard to get the solution because this rectangle is an almost square with a maximum of touching sides.
Rectangle 70x3
| 2-3-3-3 | 3-3-3-5 | 3-3-4-5 | 3-4-4-5 | 4-4-4-5 | 4-4-5-6 | 4-4-6-6 | 2-4-6-6 | 2-2-6-6 | 1-2-2-6 | 1-1-2-2 | 1-2-2-4 | 2-2-4-5 | 2-4-5-6 | 4-5-6-6 | 4-6-6-6 | 3-4-6-6 | 3-3-6-6 | 2-3-6-6 | 1-2-3-6 | 1-1-2-3 | 1-1-2-4 | 1-1-4-4 | 1-1-4-6 | 1-4-6-6 | 1-2-4-6 | 1-2-3-4 | 1-2-4-5 | 1-1-4-5 | 1-1-5-5 | 1-5-5-6 | 1-2-5-5 | 2-4-5-5 | 4-5-5-6 | 3-4-5-6 | 2-3-4-6 | 2-2-3-4 | 2-2-3-6 | 2-3-5-6 | 3-5-6-6 | 1-5-6-6 | 1-4-5-6 | 1-4-6-7 | 1-6-7-7 | 1-5-7-7 | 1-3-7-7 | 1-4-7-7 | 4-4-7-7 | 2-4-4-7 | 2-4-7-7 | 2-7-7-7 | 1-2-7-7 | 2-3-7-7 | 3-6-7-7 | 3-3-6-7 | 3-5-6-7 | 5-5-6-7 | 2-5-6-7 | 2-5-7-7 | 2-2-7-7 | 2-2-2-7 | 2-2-6-7 | 2-6-7-7 | 2-6-6-7 | 6-6-7-7 | 5-6-7-7 | 1-5-6-7 | 1-3-5-7 | 1-3-3-7 | 3-3-3-7 |
| 3-3-3-6 | 1-3-3-3 | 1-3-3-4 | 1-3-4-4 | 1-4-4-4 | 4-4-4-6 | 2-4-4-6 | 2-2-4-6 | 2-2-2-6 | 1-2-2-2 | 1-2-2-3 | 1-2-2-5 | 2-2-2-5 | 2-2-5-6 | 2-5-6-6 | 2-6-6-6 | 3-6-6-6 | 1-3-6-6 | 1-2-6-6 | 1-1-2-6 | 1-1-1-2 | 1-1-1-4 | 1-1-3-4 | 1-1-3-6 | 1-3-4-6 | 1-4-4-6 | 1-2-4-4 | 1-4-4-5 | 1-4-5-5 | 1-5-5-5 | 5-5-5-6 | 2-5-5-5 | 2-3-5-5 | 3-5-5-6 | 3-4-5-5 | 2-3-4-5 | 2-3-3-4 | 2-3-3-6 | 3-3-5-6 | 1-3-5-6 | 1-1-5-6 | 1-2-5-6 | 1-2-6-7 | 1-1-6-7 | 1-1-5-7 | 1-1-3-7 | 1-3-4-7 | 3-4-4-7 | 4-4-5-7 | 4-5-7-7 | 5-7-7-7 | 1-7-7-7 | 3-7-7-7 | 3-3-7-7 | 3-3-5-7 | 3-5-5-7 | 1-5-5-7 | 2-5-5-7 | 1-2-5-7 | 2-2-5-7 | 2-2-4-7 | 2-2-3-7 | 2-3-6-7 | 3-6-6-7 | 6-6-6-7 | 5-6-6-7 | 4-5-6-7 | 3-4-5-7 | 3-3-4-7 | 2-3-3-7 |
| 3-3-3-3 | 3-3-3-4 | 3-3-4-4 | 3-4-4-4 | 4-4-4-4 | 2-4-4-4 | 2-2-4-4 | 2-2-2-4 | 2-2-2-2 | 2-2-2-3 | 2-2-3-3 | 2-2-3-5 | 2-2-5-5 | 2-5-5-6 | 5-5-6-6 | 5-6-6-6 | 6-6-6-6 | 1-6-6-6 | 1-1-6-6 | 1-1-1-6 | 1-1-1-1 | 1-1-1-3 | 1-1-3-3 | 1-3-3-6 | 3-3-4-6 | 3-4-4-6 | 2-3-4-4 | 2-4-4-5 | 4-4-5-5 | 4-5-5-5 | 5-5-5-5 | 3-5-5-5 | 3-3-5-5 | 1-3-5-5 | 1-3-4-5 | 1-2-3-5 | 2-3-3-5 | 1-2-3-3 | 1-3-3-5 | 1-1-3-5 | 1-1-1-5 | 1-1-2-5 | 1-1-2-7 | 1-1-7-7 | 1-1-1-7 | 1-1-4-7 | 1-4-4-7 | 4-4-4-7 | 4-4-6-7 | 4-6-7-7 | 6-7-7-7 | 7-7-7-7 | 4-7-7-7 | 3-4-7-7 | 3-5-7-7 | 5-5-7-7 | 5-5-5-7 | 4-5-5-7 | 1-4-5-7 | 2-4-5-7 | 1-2-4-7 | 1-2-2-7 | 1-2-3-7 | 1-3-6-7 | 1-6-6-7 | 4-6-6-7 | 2-4-6-7 | 3-4-6-7 | 2-3-4-7 | 2-3-5-7 |
Rectangle 42x5
| 3-5-5-5 | 3-4-5-5 | 1-4-5-5 | 1-2-4-5 | 1-4-4-5 | 1-4-4-4 | 1-2-4-4 | 1-2-2-4 | 2-2-2-4 | 2-2-2-2 | 2-2-2-3 | 2-2-3-3 | 2-3-3-4 | 3-3-4-5 | 3-3-5-6 | 3-3-6-6 | 3-6-6-6 | 6-6-6-6 | 5-6-6-6 | 4-5-6-6 | 4-5-5-6 | 5-5-5-6 | 2-5-5-6 | 2-2-5-6 | 2-2-2-6 | 2-2-2-7 | 2-2-6-7 | 2-6-6-7 | 6-6-6-7 | 4-6-6-7 | 4-4-6-7 | 4-4-4-7 | 1-4-4-7 | 3-4-4-7 | 3-4-6-7 | 1-3-6-7 | 3-6-7-7 | 2-3-7-7 | 2-2-7-7 | 2-2-5-7 | 2-2-3-7 | 2-2-4-7 |
| 3-3-5-5 | 2-3-5-5 | 1-3-5-5 | 1-2-3-5 | 1-3-4-5 | 1-3-4-4 | 1-2-3-4 | 1-2-2-3 | 1-2-2-2 | 2-2-2-5 | 2-2-3-5 | 2-2-3-4 | 2-3-4-5 | 3-4-4-5 | 3-4-5-6 | 3-4-6-6 | 4-6-6-6 | 1-6-6-6 | 2-6-6-6 | 2-5-6-6 | 5-5-6-6 | 3-5-5-6 | 1-5-5-6 | 1-2-5-6 | 1-2-2-6 | 1-2-2-7 | 1-2-6-7 | 1-6-6-7 | 6-6-7-7 | 4-6-7-7 | 4-4-7-7 | 2-4-4-7 | 4-4-5-7 | 3-4-5-7 | 3-5-6-7 | 3-6-6-7 | 2-3-6-7 | 2-6-7-7 | 1-2-7-7 | 1-2-5-7 | 2-3-5-7 | 2-3-4-7 |
| 3-3-3-5 | 2-3-3-5 | 1-3-3-5 | 1-1-3-5 | 1-1-4-5 | 1-1-4-4 | 1-1-2-4 | 1-1-2-2 | 1-2-2-5 | 2-2-5-5 | 2-2-4-5 | 2-2-4-4 | 2-3-4-4 | 3-3-4-4 | 3-3-4-6 | 1-3-4-6 | 1-4-6-6 | 1-2-6-6 | 2-2-6-6 | 2-3-6-6 | 3-5-6-6 | 1-3-5-6 | 1-5-6-6 | 1-1-5-6 | 1-1-2-6 | 1-1-2-7 | 1-1-6-7 | 1-6-7-7 | 6-7-7-7 | 4-7-7-7 | 2-4-7-7 | 2-4-5-7 | 4-5-5-7 | 1-4-5-7 | 1-5-6-7 | 5-6-6-7 | 2-5-6-7 | 2-4-6-7 | 1-2-4-7 | 1-2-3-7 | 2-3-3-7 | 3-3-4-7 |
| 3-3-3-4 | 2-3-3-3 | 1-2-3-3 | 1-1-2-3 | 1-1-3-4 | 1-1-1-4 | 1-1-1-2 | 1-1-2-5 | 1-2-5-5 | 2-5-5-5 | 2-4-5-5 | 2-4-4-5 | 2-4-4-4 | 3-4-4-4 | 3-4-4-6 | 1-4-4-6 | 1-4-5-6 | 1-2-4-6 | 2-4-6-6 | 2-3-4-6 | 2-3-5-6 | 1-2-3-6 | 1-3-6-6 | 1-1-6-6 | 1-1-1-6 | 1-1-1-7 | 1-1-3-7 | 1-3-7-7 | 3-7-7-7 | 2-7-7-7 | 2-5-7-7 | 2-5-5-7 | 5-5-6-7 | 1-5-5-7 | 1-5-7-7 | 5-6-7-7 | 4-5-6-7 | 1-4-6-7 | 1-3-4-7 | 1-3-3-7 | 3-3-5-7 | 3-3-6-7 |
| 3-3-3-3 | 1-3-3-3 | 1-3-3-4 | 1-1-3-3 | 1-1-1-3 | 1-1-1-1 | 1-1-1-5 | 1-1-5-5 | 1-5-5-5 | 5-5-5-5 | 4-5-5-5 | 4-4-5-5 | 4-4-4-5 | 4-4-4-4 | 4-4-4-6 | 4-4-6-6 | 4-4-5-6 | 2-4-4-6 | 2-4-5-6 | 2-2-4-6 | 2-2-3-6 | 2-3-3-6 | 1-3-3-6 | 1-1-3-6 | 1-1-4-6 | 1-1-4-7 | 1-1-5-7 | 1-1-7-7 | 1-7-7-7 | 7-7-7-7 | 5-7-7-7 | 5-5-7-7 | 5-5-5-7 | 3-5-5-7 | 1-3-5-7 | 3-5-7-7 | 4-5-7-7 | 1-4-7-7 | 3-4-7-7 | 3-3-7-7 | 3-3-3-7 | 3-3-3-6 |
Rectangle 33x6
| 6-6-6-6 | 5-6-6-6 | 5-5-6-6 | 5-5-5-6 | 5-5-5-5 | 3-5-5-5 | 3-4-5-5 | 3-4-4-5 | 3-4-4-4 | 2-3-4-4 | 1-2-4-4 | 1-1-2-4 | 1-2-4-5 | 2-4-4-5 | 4-4-5-6 | 3-4-5-6 | 3-4-4-6 | 3-3-4-4 | 1-3-4-4 | 1-2-3-4 | 1-2-3-5 | 2-3-5-7 | 2-5-5-7 | 5-5-5-7 | 4-5-5-7 | 4-4-5-7 | 4-4-4-7 | 2-4-4-7 | 2-2-4-7 | 2-2-2-7 | 2-2-5-7 | 2-2-6-7 | 1-2-6-7 | 1-4-6-7 | 3-4-6-7 |
| 2-6-6-6 | 2-5-6-6 | 2-5-5-6 | 2-5-5-5 | 1-5-5-5 | 4-5-5-5 | 4-4-5-5 | 4-4-4-5 | 4-4-4-4 | 2-4-4-4 | 2-2-4-4 | 1-2-2-4 | 2-2-4-5 | 2-4-5-5 | 4-5-5-6 | 1-4-5-6 | 1-3-4-6 | 1-3-3-4 | 1-1-3-4 | 1-3-4-5 | 1-3-3-5 | 1-3-5-7 | 3-5-5-7 | 5-5-7-7 | 4-5-7-7 | 4-4-7-7 | 3-4-4-7 | 1-4-4-7 | 1-2-4-7 | 1-2-2-7 | 2-2-7-7 | 2-2-3-7 | 2-3-6-7 | 2-4-6-7 | 4-4-6-7 |
| 2-2-6-6 | 2-2-5-6 | 2-2-5-5 | 1-2-5-5 | 1-1-5-5 | 1-4-5-5 | 1-4-4-5 | 1-4-4-4 | 4-4-4-6 | 2-4-4-6 | 2-2-4-6 | 2-2-3-4 | 2-3-4-5 | 2-3-5-5 | 3-5-5-6 | 1-3-5-6 | 1-3-3-6 | 1-2-3-3 | 1-1-3-3 | 1-1-3-5 | 1-3-5-5 | 1-5-5-7 | 5-5-6-7 | 5-6-7-7 | 5-7-7-7 | 4-7-7-7 | 3-4-7-7 | 1-3-4-7 | 1-1-4-7 | 1-1-2-7 | 1-2-7-7 | 2-3-7-7 | 2-3-4-7 | 2-4-5-7 | 4-5-6-7 |
| 2-2-2-6 | 2-2-2-5 | 1-2-2-5 | 1-1-2-5 | 1-1-1-5 | 1-1-4-5 | 1-1-4-4 | 1-4-4-6 | 4-4-6-6 | 2-4-6-6 | 2-3-4-6 | 2-3-3-4 | 3-3-4-5 | 3-3-5-5 | 3-3-5-6 | 3-5-6-6 | 1-3-6-6 | 1-2-3-6 | 1-1-3-6 | 1-1-5-6 | 1-5-5-6 | 1-5-6-7 | 5-6-6-7 | 2-5-6-7 | 2-5-7-7 | 2-4-7-7 | 4-6-7-7 | 1-4-7-7 | 1-4-5-7 | 1-2-5-7 | 1-2-3-7 | 2-3-3-7 | 3-3-4-7 | 3-4-5-7 | 3-5-6-7 |
| 2-2-2-4 | 2-2-2-3 | 1-2-2-3 | 1-1-2-3 | 1-1-1-3 | 1-1-1-4 | 1-1-4-6 | 1-4-6-6 | 4-6-6-6 | 3-4-6-6 | 3-3-4-6 | 3-3-3-4 | 3-3-3-5 | 2-3-3-5 | 2-3-3-6 | 2-3-5-6 | 2-3-6-6 | 1-2-6-6 | 1-1-2-6 | 1-2-5-6 | 1-5-6-6 | 1-6-6-7 | 6-6-7-7 | 2-6-6-7 | 2-6-7-7 | 2-7-7-7 | 6-7-7-7 | 1-6-7-7 | 1-5-7-7 | 1-1-5-7 | 1-1-3-7 | 1-3-3-7 | 3-3-3-7 | 3-3-5-7 | 3-5-7-7 |
| 2-2-2-2 | 1-2-2-2 | 1-1-2-2 | 1-1-1-2 | 1-1-1-1 | 1-1-1-6 | 1-1-6-6 | 1-6-6-6 | 3-6-6-6 | 3-3-6-6 | 3-3-3-6 | 3-3-3-3 | 1-3-3-3 | 2-3-3-3 | 2-2-3-3 | 2-2-3-5 | 2-2-3-6 | 1-2-2-6 | 1-2-4-6 | 2-4-5-6 | 4-5-6-6 | 4-6-6-7 | 6-6-6-7 | 3-6-6-7 | 3-6-7-7 | 3-7-7-7 | 7-7-7-7 | 1-7-7-7 | 1-1-7-7 | 1-1-1-7 | 1-1-6-7 | 1-3-6-7 | 3-3-6-7 | 3-3-7-7 | 1-3-7-7 |
Rectangle 30x7
| 1-1-1-1 | 1-1-1-3 | 1-1-3-3 | 1-3-3-3 | 3-3-3-3 | 2-3-3-3 | 2-2-3-3 | 2-2-3-4 | 2-2-4-4 | 1-2-2-4 | 1-1-2-4 | 1-1-4-5 | 1-4-4-5 | 1-4-5-6 | 3-4-5-6 | 2-3-5-6 | 2-2-3-6 | 1-2-2-6 | 2-2-6-7 | 2-3-6-7 | 3-3-6-7 | 3-3-5-7 | 2-3-5-7 | 3-5-6-7 | 1-3-6-7 | 1-6-6-7 | 1-4-6-7 | 4-6-7-7 | 1-4-7-7 | 1-3-4-7 |
| 1-1-1-2 | 1-1-1-5 | 1-1-3-5 | 1-3-3-5 | 3-3-3-5 | 3-3-3-4 | 2-3-3-4 | 2-3-4-4 | 2-4-4-4 | 1-2-4-4 | 1-1-4-4 | 1-1-3-4 | 1-3-4-5 | 1-3-5-6 | 3-5-5-6 | 2-3-5-5 | 2-2-3-5 | 1-2-2-3 | 2-2-3-7 | 2-3-3-7 | 3-3-3-7 | 3-3-4-7 | 2-3-4-7 | 3-4-6-7 | 3-6-6-7 | 6-6-6-7 | 4-6-6-7 | 4-4-6-7 | 4-4-7-7 | 1-4-4-7 |
| 1-1-2-2 | 1-1-2-5 | 1-1-5-5 | 1-3-5-5 | 3-3-5-5 | 3-3-4-5 | 3-3-4-4 | 3-4-4-4 | 4-4-4-4 | 1-4-4-4 | 1-3-4-4 | 1-3-4-6 | 1-3-3-4 | 1-3-3-6 | 3-3-5-6 | 2-3-3-5 | 2-3-4-5 | 1-2-3-4 | 1-2-3-7 | 1-3-3-7 | 3-3-7-7 | 3-4-7-7 | 2-3-7-7 | 3-6-7-7 | 6-6-7-7 | 5-6-6-7 | 4-5-6-7 | 2-4-6-7 | 2-4-4-7 | 4-4-4-7 |
| 1-2-2-2 | 1-2-2-5 | 1-2-5-5 | 1-5-5-5 | 3-5-5-5 | 3-4-5-5 | 3-4-4-5 | 4-4-4-5 | 4-4-4-6 | 1-4-4-6 | 3-4-4-6 | 2-3-4-6 | 3-3-4-6 | 3-3-3-6 | 2-3-3-6 | 1-2-3-3 | 1-2-3-5 | 1-1-2-3 | 1-1-3-7 | 1-3-5-7 | 1-3-7-7 | 3-7-7-7 | 3-5-7-7 | 5-6-7-7 | 2-6-7-7 | 2-6-6-7 | 2-5-6-7 | 2-4-5-7 | 4-4-5-7 | 3-4-4-7 |
| 2-2-2-2 | 2-2-2-5 | 2-2-5-5 | 2-5-5-5 | 5-5-5-5 | 4-5-5-5 | 4-4-5-5 | 2-4-4-5 | 2-4-4-6 | 4-4-5-6 | 4-4-6-6 | 2-4-6-6 | 3-4-6-6 | 3-3-6-6 | 2-3-6-6 | 1-2-3-6 | 1-2-5-6 | 1-1-2-6 | 1-1-2-7 | 1-1-5-7 | 1-5-7-7 | 5-7-7-7 | 4-5-7-7 | 2-5-7-7 | 1-2-7-7 | 1-2-6-7 | 1-5-6-7 | 1-4-5-7 | 4-5-5-7 | 3-4-5-7 |
| 2-2-2-3 | 2-2-2-6 | 2-2-5-6 | 2-5-5-6 | 5-5-5-6 | 4-5-5-6 | 2-4-5-5 | 2-2-4-5 | 2-4-5-6 | 4-5-6-6 | 4-6-6-6 | 2-6-6-6 | 3-6-6-6 | 3-5-6-6 | 1-3-6-6 | 1-1-3-6 | 1-1-5-6 | 1-1-4-6 | 1-1-4-7 | 1-1-6-7 | 1-6-7-7 | 6-7-7-7 | 4-7-7-7 | 2-4-7-7 | 1-2-4-7 | 1-2-2-7 | 1-2-5-7 | 1-5-5-7 | 5-5-5-7 | 3-5-5-7 |
| 2-2-2-4 | 2-2-4-6 | 2-2-6-6 | 2-5-6-6 | 5-5-6-6 | 1-5-5-6 | 1-4-5-5 | 1-2-4-5 | 1-2-4-6 | 1-4-6-6 | 1-6-6-6 | 6-6-6-6 | 5-6-6-6 | 1-5-6-6 | 1-2-6-6 | 1-1-6-6 | 1-1-1-6 | 1-1-1-4 | 1-1-1-7 | 1-1-7-7 | 1-7-7-7 | 7-7-7-7 | 2-7-7-7 | 2-2-7-7 | 2-2-4-7 | 2-2-2-7 | 2-2-5-7 | 2-5-5-7 | 5-5-7-7 | 5-5-6-7 |
Rectangle 21x10
With multisets from 1..7
| 5-7-7-7 | 7-7-7-7 | 2-7-7-7 | 2-3-7-7 | 3-4-7-7 | 3-3-4-7 | 2-3-3-7 | 2-3-5-7 | 3-3-5-7 | 2-2-6-7 | 2-2-2-7 | 2-2-3-7 | 2-3-4-7 | 1-3-4-7 | 1-1-3-4 | 1-1-1-4 | 1-1-1-5 | 1-1-5-5 | 1-4-5-5 | 4-5-5-5 | 5-5-5-5 |
| 6-7-7-7 | 1-7-7-7 | 4-7-7-7 | 3-7-7-7 | 3-3-7-7 | 3-3-3-7 | 3-3-6-7 | 2-3-6-7 | 1-2-6-7 | 1-2-2-7 | 2-2-7-7 | 2-2-5-7 | 2-2-4-7 | 1-2-4-7 | 1-2-3-4 | 1-1-2-4 | 1-1-2-5 | 1-2-5-5 | 1-5-5-5 | 2-5-5-5 | 3-5-5-5 |
| 5-6-7-7 | 1-6-7-7 | 4-6-7-7 | 3-6-7-7 | 3-5-7-7 | 3-3-5-7 | 1-3-3-7 | 1-2-3-7 | 1-1-2-7 | 1-2-7-7 | 2-5-7-7 | 2-4-5-7 | 2-4-7-7 | 2-4-4-7 | 2-3-4-4 | 1-2-4-4 | 1-2-4-5 | 1-2-3-5 | 1-3-5-5 | 2-3-5-5 | 3-4-5-5 |
| 6-6-7-7 | 2-6-7-7 | 2-4-6-7 | 3-4-6-7 | 3-4-5-7 | 3-5-5-7 | 1-3-5-7 | 1-3-6-7 | 1-1-3-7 | 1-3-7-7 | 1-5-7-7 | 4-5-7-7 | 4-4-7-7 | 1-4-4-7 | 1-3-4-4 | 1-1-4-4 | 1-1-4-5 | 1-1-3-5 | 1-3-3-5 | 2-3-3-5 | 3-3-5-5 |
| 6-6-6-7 | 2-6-6-7 | 4-6-6-7 | 4-5-6-7 | 4-5-5-7 | 5-5-7-7 | 1-5-5-7 | 1-5-6-7 | 1-1-6-7 | 1-1-7-7 | 1-4-7-7 | 1-4-5-7 | 4-4-5-7 | 3-4-4-7 | 3-4-4-4 | 1-4-4-4 | 1-4-4-5 | 1-3-4-5 | 1-3-3-4 | 3-3-4-5 | 3-3-3-5 |
| 1-6-6-7 | 5-6-6-7 | 3-6-6-7 | 3-5-6-7 | 5-5-6-7 | 5-5-5-7 | 2-5-5-7 | 1-2-5-7 | 1-1-5-7 | 1-1-1-7 | 1-1-4-7 | 1-4-6-7 | 4-4-6-7 | 4-4-4-7 | 4-4-4-4 | 4-4-4-5 | 4-4-5-5 | 3-4-4-5 | 3-3-4-4 | 3-3-3-4 | 3-3-3-3 |
| 1-5-6-6 | 5-5-6-6 | 3-5-6-6 | 1-3-5-6 | 1-5-5-6 | 5-5-5-6 | 2-5-5-6 | 1-2-5-6 | 1-1-5-6 | 1-1-1-6 | 1-1-4-6 | 1-4-4-6 | 4-4-5-6 | 4-4-4-6 | 2-4-4-4 | 2-4-4-5 | 2-4-5-5 | 2-3-4-5 | 2-3-3-4 | 2-3-3-3 | 1-3-3-3 |
| 2-5-6-6 | 5-6-6-6 | 4-5-6-6 | 1-4-5-6 | 4-5-5-6 | 3-5-5-6 | 2-3-5-6 | 1-2-3-6 | 1-1-3-6 | 1-1-6-6 | 1-1-2-6 | 1-2-4-6 | 2-4-5-6 | 2-4-4-6 | 2-2-4-4 | 2-2-4-5 | 2-2-5-5 | 2-2-3-5 | 2-2-3-3 | 1-2-3-3 | 1-1-3-3 |
| 2-4-6-6 | 4-6-6-6 | 1-4-6-6 | 1-3-4-6 | 3-4-5-6 | 3-3-5-6 | 2-3-3-6 | 2-3-6-6 | 1-3-6-6 | 1-6-6-6 | 1-2-6-6 | 1-2-2-6 | 2-2-5-6 | 2-2-4-6 | 1-2-2-4 | 2-2-2-4 | 2-2-2-5 | 1-2-2-5 | 1-2-2-3 | 1-1-2-3 | 1-1-1-3 |
| 2-3-4-6 | 3-4-6-6 | 4-4-6-6 | 3-4-4-6 | 3-3-4-6 | 1-3-3-6 | 3-3-3-6 | 3-3-6-6 | 3-6-6-6 | 6-6-6-6 | 2-6-6-6 | 2-2-6-6 | 2-2-2-6 | 2-2-3-6 | 2-2-3-4 | 2-2-2-3 | 2-2-2-2 | 1-2-2-2 | 1-1-2-2 | 1-1-1-2 | 1-1-1-1 |
n=8, k=4, 330 multisets
Rectangle 110x3. It's an extension of the 70x3 rectangle with multisets of 7 items.
| 2-3-3-3 | 3-3-3-5 | 3-3-4-5 | 3-4-4-5 | 4-4-4-5 | 4-4-5-6 | 4-4-6-6 | 2-4-6-6 | 2-2-6-6 | 1-2-2-6 | 1-1-2-2 | 1-2-2-4 | 2-2-4-5 | 2-4-5-6 | 4-5-6-6 | 4-6-6-6 | 3-4-6-6 | 3-3-6-6 | 2-3-6-6 | 1-2-3-6 | 1-1-2-3 | 1-1-2-4 | 1-1-4-4 | 1-1-4-6 | 1-4-6-6 | 1-2-4-6 | 1-2-3-4 | 1-2-4-5 | 1-1-4-5 | 1-1-5-5 | 1-5-5-6 | 1-2-5-5 | 2-4-5-5 | 4-5-5-6 | 3-4-5-6 | 2-3-4-6 | 2-2-3-4 | 2-2-3-6 | 2-3-5-6 | 3-5-6-6 | 1-5-6-6 | 1-4-5-6 | 1-4-6-7 | 1-6-7-7 | 1-5-7-7 | 1-3-7-7 | 1-4-7-7 | 4-4-7-7 | 2-4-4-7 | 2-4-7-7 | 2-7-7-7 | 1-2-7-7 | 2-3-7-7 | 3-6-7-7 | 3-3-6-7 | 3-5-6-7 | 5-5-6-7 | 2-5-6-7 | 2-5-7-7 | 2-2-7-7 | 2-2-2-7 | 2-2-6-7 | 2-6-7-7 | 2-6-6-7 | 6-6-7-7 | 5-6-7-7 | 1-5-6-7 | 1-3-5-7 | 1-3-3-7 | 3-3-3-7 | 3-3-3-8 | 3-3-8-8 | 3-8-8-8 | 8-8-8-8 | 2-8-8-8 | 5-8-8-8 | 5-5-8-8 | 5-5-5-8 | 4-5-5-8 | 5-5-6-8 | 5-6-6-8 | 6-6-8-8 | 6-6-6-8 | 4-6-6-8 | 6-6-7-8 | 6-7-8-8 | 7-7-8-8 | 7-7-7-8 | 2-7-7-8 | 5-7-7-8 | 3-5-7-8 | 3-4-7-8 | 3-4-4-8 | 4-4-8-8 | 2-4-4-8 | 2-2-4-8 | 2-2-8-8 | 2-2-2-8 | 2-2-3-8 | 1-2-3-8 | 2-3-4-8 | 2-4-6-8 | 4-6-8-8 | 5-6-8-8 | 4-5-8-8 | 1-4-5-8 | 4-5-6-8 | 1-5-6-8 | 1-1-5-8 | 1-1-1-8 |
| 3-3-3-6 | 1-3-3-3 | 1-3-3-4 | 1-3-4-4 | 1-4-4-4 | 4-4-4-6 | 2-4-4-6 | 2-2-4-6 | 2-2-2-6 | 1-2-2-2 | 1-2-2-3 | 1-2-2-5 | 2-2-2-5 | 2-2-5-6 | 2-5-6-6 | 2-6-6-6 | 3-6-6-6 | 1-3-6-6 | 1-2-6-6 | 1-1-2-6 | 1-1-1-2 | 1-1-1-4 | 1-1-3-4 | 1-1-3-6 | 1-3-4-6 | 1-4-4-6 | 1-2-4-4 | 1-4-4-5 | 1-4-5-5 | 1-5-5-5 | 5-5-5-6 | 2-5-5-5 | 2-3-5-5 | 3-5-5-6 | 3-4-5-5 | 2-3-4-5 | 2-3-3-4 | 2-3-3-6 | 3-3-5-6 | 1-3-5-6 | 1-1-5-6 | 1-2-5-6 | 1-2-6-7 | 1-1-6-7 | 1-1-5-7 | 1-1-3-7 | 1-3-4-7 | 3-4-4-7 | 4-4-5-7 | 4-5-7-7 | 5-7-7-7 | 1-7-7-7 | 3-7-7-7 | 3-3-7-7 | 3-3-5-7 | 3-5-5-7 | 1-5-5-7 | 2-5-5-7 | 1-2-5-7 | 2-2-5-7 | 2-2-4-7 | 2-2-3-7 | 2-3-6-7 | 3-6-6-7 | 6-6-6-7 | 5-6-6-7 | 4-5-6-7 | 3-4-5-7 | 3-3-4-7 | 2-3-3-7 | 2-3-3-8 | 3-3-4-8 | 3-4-8-8 | 4-8-8-8 | 1-8-8-8 | 1-5-8-8 | 5-7-8-8 | 5-5-7-8 | 2-5-5-8 | 3-5-5-8 | 3-5-6-8 | 3-6-8-8 | 3-6-6-8 | 2-6-6-8 | 1-6-6-8 | 1-6-7-8 | 1-7-7-8 | 4-7-7-8 | 3-7-7-8 | 6-7-7-8 | 5-6-7-8 | 4-5-7-8 | 4-4-5-8 | 4-4-4-8 | 1-4-4-8 | 1-2-4-8 | 1-2-2-8 | 2-2-5-8 | 2-2-7-8 | 1-2-7-8 | 2-4-7-8 | 2-4-8-8 | 2-6-8-8 | 2-5-6-8 | 2-4-5-8 | 3-4-5-8 | 3-4-6-8 | 1-3-6-8 | 1-1-3-8 | 1-1-8-8 |
| 3-3-3-3 | 3-3-3-4 | 3-3-4-4 | 3-4-4-4 | 4-4-4-4 | 2-4-4-4 | 2-2-4-4 | 2-2-2-4 | 2-2-2-2 | 2-2-2-3 | 2-2-3-3 | 2-2-3-5 | 2-2-5-5 | 2-5-5-6 | 5-5-6-6 | 5-6-6-6 | 6-6-6-6 | 1-6-6-6 | 1-1-6-6 | 1-1-1-6 | 1-1-1-1 | 1-1-1-3 | 1-1-3-3 | 1-3-3-6 | 3-3-4-6 | 3-4-4-6 | 2-3-4-4 | 2-4-4-5 | 4-4-5-5 | 4-5-5-5 | 5-5-5-5 | 3-5-5-5 | 3-3-5-5 | 1-3-5-5 | 1-3-4-5 | 1-2-3-5 | 2-3-3-5 | 1-2-3-3 | 1-3-3-5 | 1-1-3-5 | 1-1-1-5 | 1-1-2-5 | 1-1-2-7 | 1-1-7-7 | 1-1-1-7 | 1-1-4-7 | 1-4-4-7 | 4-4-4-7 | 4-4-6-7 | 4-6-7-7 | 6-7-7-7 | 7-7-7-7 | 4-7-7-7 | 3-4-7-7 | 3-5-7-7 | 5-5-7-7 | 5-5-5-7 | 4-5-5-7 | 1-4-5-7 | 2-4-5-7 | 1-2-4-7 | 1-2-2-7 | 1-2-3-7 | 1-3-6-7 | 1-6-6-7 | 4-6-6-7 | 2-4-6-7 | 3-4-6-7 | 2-3-4-7 | 2-3-5-7 | 2-3-7-8 | 3-3-7-8 | 3-7-8-8 | 7-8-8-8 | 6-8-8-8 | 1-6-8-8 | 1-7-8-8 | 1-5-7-8 | 1-5-5-8 | 1-3-5-8 | 3-5-8-8 | 2-3-8-8 | 2-3-6-8 | 2-2-6-8 | 1-2-6-8 | 1-1-6-8 | 1-1-7-8 | 1-4-7-8 | 1-3-7-8 | 3-6-7-8 | 2-6-7-8 | 4-6-7-8 | 4-4-7-8 | 4-4-6-8 | 1-4-6-8 | 1-1-4-8 | 1-1-2-8 | 1-2-5-8 | 2-5-7-8 | 2-7-8-8 | 4-7-8-8 | 1-4-8-8 | 1-2-8-8 | 2-5-8-8 | 2-3-5-8 | 3-3-5-8 | 3-3-6-8 | 1-3-3-8 | 1-3-4-8 | 1-3-8-8 |
Rectangle 66x5
| 3-5-5-5 | 3-4-5-5 | 1-4-5-5 | 1-2-4-5 | 1-4-4-5 | 1-4-4-4 | 1-2-4-4 | 1-2-2-4 | 2-2-2-4 | 2-2-2-2 | 2-2-2-3 | 2-2-3-3 | 2-3-3-4 | 3-3-4-5 | 3-3-5-6 | 3-3-6-6 | 3-6-6-6 | 6-6-6-6 | 5-6-6-6 | 4-5-6-6 | 4-5-5-6 | 5-5-5-6 | 2-5-5-6 | 2-2-5-6 | 2-2-2-6 | 2-2-2-7 | 2-2-6-7 | 2-6-6-7 | 6-6-6-7 | 4-6-6-7 | 4-4-6-7 | 4-4-4-7 | 1-4-4-7 | 3-4-4-7 | 3-4-6-7 | 1-3-6-7 | 3-6-7-7 | 2-3-7-7 | 2-2-7-7 | 2-2-5-7 | 2-2-3-7 | 2-2-4-7 | 2-4-7-8 | 2-3-4-8 | 3-4-4-8 | 4-4-8-8 | 4-4-7-8 | 4-7-7-8 | 7-7-7-8 | 3-7-7-8 | 3-7-8-8 | 3-5-7-8 | 3-5-5-8 | 5-5-5-8 | 5-5-8-8 | 1-5-8-8 | 1-1-8-8 | 1-1-4-8 | 1-1-6-8 | 1-3-6-8 | 1-3-8-8 | 1-7-8-8 | 1-6-7-8 | 1-4-7-8 | 1-4-4-8 | 4-4-5-8 |
| 3-3-5-5 | 2-3-5-5 | 1-3-5-5 | 1-2-3-5 | 1-3-4-5 | 1-3-4-4 | 1-2-3-4 | 1-2-2-3 | 1-2-2-2 | 2-2-2-5 | 2-2-3-5 | 2-2-3-4 | 2-3-4-5 | 3-4-4-5 | 3-4-5-6 | 3-4-6-6 | 4-6-6-6 | 1-6-6-6 | 2-6-6-6 | 2-5-6-6 | 5-5-6-6 | 3-5-5-6 | 1-5-5-6 | 1-2-5-6 | 1-2-2-6 | 1-2-2-7 | 1-2-6-7 | 1-6-6-7 | 6-6-7-7 | 4-6-7-7 | 4-4-7-7 | 2-4-4-7 | 4-4-5-7 | 3-4-5-7 | 3-5-6-7 | 3-6-6-7 | 2-3-6-7 | 2-6-7-7 | 1-2-7-7 | 1-2-5-7 | 2-3-5-7 | 2-3-4-7 | 3-4-7-8 | 3-3-4-8 | 3-4-8-8 | 4-8-8-8 | 4-7-8-8 | 7-7-8-8 | 6-7-7-8 | 3-6-7-8 | 3-6-8-8 | 3-5-6-8 | 5-5-6-8 | 4-5-5-8 | 5-5-7-8 | 1-5-5-8 | 1-1-5-8 | 1-1-1-8 | 1-1-3-8 | 1-3-3-8 | 1-3-4-8 | 1-4-8-8 | 1-4-6-8 | 1-2-4-8 | 2-4-4-8 | 4-4-4-8 |
| 3-3-3-5 | 2-3-3-5 | 1-3-3-5 | 1-1-3-5 | 1-1-4-5 | 1-1-4-4 | 1-1-2-4 | 1-1-2-2 | 1-2-2-5 | 2-2-5-5 | 2-2-4-5 | 2-2-4-4 | 2-3-4-4 | 3-3-4-4 | 3-3-4-6 | 1-3-4-6 | 1-4-6-6 | 1-2-6-6 | 2-2-6-6 | 2-3-6-6 | 3-5-6-6 | 1-3-5-6 | 1-5-6-6 | 1-1-5-6 | 1-1-2-6 | 1-1-2-7 | 1-1-6-7 | 1-6-7-7 | 6-7-7-7 | 4-7-7-7 | 2-4-7-7 | 2-4-5-7 | 4-5-5-7 | 1-4-5-7 | 1-5-6-7 | 5-6-6-7 | 2-5-6-7 | 2-4-6-7 | 1-2-4-7 | 1-2-3-7 | 2-3-3-7 | 3-3-4-7 | 3-3-7-8 | 3-3-5-8 | 3-5-8-8 | 5-8-8-8 | 7-8-8-8 | 6-7-8-8 | 6-6-7-8 | 3-6-6-8 | 2-3-6-8 | 2-3-5-8 | 2-5-5-8 | 2-4-5-8 | 2-5-7-8 | 1-2-5-8 | 1-1-2-8 | 1-1-7-8 | 1-3-7-8 | 1-3-5-8 | 3-4-5-8 | 1-4-5-8 | 1-5-6-8 | 1-2-6-8 | 2-4-6-8 | 4-4-6-8 |
| 3-3-3-4 | 2-3-3-3 | 1-2-3-3 | 1-1-2-3 | 1-1-3-4 | 1-1-1-4 | 1-1-1-2 | 1-1-2-5 | 1-2-5-5 | 2-5-5-5 | 2-4-5-5 | 2-4-4-5 | 2-4-4-4 | 3-4-4-4 | 3-4-4-6 | 1-4-4-6 | 1-4-5-6 | 1-2-4-6 | 2-4-6-6 | 2-3-4-6 | 2-3-5-6 | 1-2-3-6 | 1-3-6-6 | 1-1-6-6 | 1-1-1-6 | 1-1-1-7 | 1-1-3-7 | 1-3-7-7 | 3-7-7-7 | 2-7-7-7 | 2-5-7-7 | 2-5-5-7 | 5-5-6-7 | 1-5-5-7 | 1-5-7-7 | 5-6-7-7 | 4-5-6-7 | 1-4-6-7 | 1-3-4-7 | 1-3-3-7 | 3-3-5-7 | 3-3-6-7 | 3-3-6-8 | 2-3-3-8 | 2-3-8-8 | 2-8-8-8 | 1-8-8-8 | 1-6-8-8 | 1-6-6-8 | 5-6-6-8 | 2-5-6-8 | 2-2-5-8 | 2-5-8-8 | 2-4-8-8 | 2-7-8-8 | 1-2-8-8 | 1-2-3-8 | 1-2-7-8 | 1-7-7-8 | 1-5-7-8 | 4-5-7-8 | 4-5-6-8 | 5-6-7-8 | 2-6-7-8 | 4-6-7-8 | 3-4-6-8 |
| 3-3-3-3 | 1-3-3-3 | 1-3-3-4 | 1-1-3-3 | 1-1-1-3 | 1-1-1-1 | 1-1-1-5 | 1-1-5-5 | 1-5-5-5 | 5-5-5-5 | 4-5-5-5 | 4-4-5-5 | 4-4-4-5 | 4-4-4-4 | 4-4-4-6 | 4-4-6-6 | 4-4-5-6 | 2-4-4-6 | 2-4-5-6 | 2-2-4-6 | 2-2-3-6 | 2-3-3-6 | 1-3-3-6 | 1-1-3-6 | 1-1-4-6 | 1-1-4-7 | 1-1-5-7 | 1-1-7-7 | 1-7-7-7 | 7-7-7-7 | 5-7-7-7 | 5-5-7-7 | 5-5-5-7 | 3-5-5-7 | 1-3-5-7 | 3-5-7-7 | 4-5-7-7 | 1-4-7-7 | 3-4-7-7 | 3-3-7-7 | 3-3-3-7 | 3-3-3-6 | 3-3-3-8 | 3-3-8-8 | 3-8-8-8 | 8-8-8-8 | 6-8-8-8 | 6-6-8-8 | 6-6-6-8 | 2-6-6-8 | 2-2-6-8 | 2-2-2-8 | 2-2-8-8 | 2-2-4-8 | 2-2-7-8 | 1-2-2-8 | 2-2-3-8 | 2-3-7-8 | 2-7-7-8 | 5-7-7-8 | 5-7-8-8 | 4-5-8-8 | 5-6-8-8 | 2-6-8-8 | 4-6-8-8 | 4-6-6-8 |
Rectangle 55x6
| 2-2-2-2 | 1-2-2-2 | 1-1-2-2 | 1-1-1-2 | 1-1-1-1 | 1-1-1-6 | 1-1-6-6 | 1-6-6-6 | 3-6-6-6 | 3-3-6-6 | 3-3-3-6 | 3-3-3-3 | 1-3-3-3 | 2-3-3-3 | 2-2-3-3 | 2-2-3-5 | 2-2-3-6 | 1-2-2-6 | 1-2-4-6 | 2-4-5-6 | 4-5-6-6 | 4-6-6-7 | 6-6-6-7 | 3-6-6-7 | 3-6-7-7 | 3-7-7-7 | 7-7-7-7 | 1-7-7-7 | 1-1-7-7 | 1-1-1-7 | 1-1-6-7 | 1-3-6-7 | 3-3-6-7 | 3-3-7-7 | 1-3-7-7 | 3-7-7-8 | 7-7-7-8 | 2-7-7-8 | 2-3-7-8 | 1-2-3-8 | 1-3-6-8 | 1-1-6-8 | 1-1-1-8 | 1-1-2-8 | 1-2-7-8 | 2-4-7-8 | 3-4-7-8 | 2-3-4-8 | 2-3-5-8 | 3-5-5-8 | 5-5-5-8 | 4-5-5-8 | 2-5-5-8 | 2-2-5-8 | 2-2-6-8 |
| 2-2-2-4 | 2-2-2-3 | 1-2-2-3 | 1-1-2-3 | 1-1-1-3 | 1-1-1-4 | 1-1-4-6 | 1-4-6-6 | 4-6-6-6 | 3-4-6-6 | 3-3-4-6 | 3-3-3-4 | 3-3-3-5 | 2-3-3-5 | 2-3-3-6 | 2-3-5-6 | 2-3-6-6 | 1-2-6-6 | 1-1-2-6 | 1-2-5-6 | 1-5-6-6 | 1-6-6-7 | 6-6-7-7 | 2-6-6-7 | 2-6-7-7 | 2-7-7-7 | 6-7-7-7 | 1-6-7-7 | 1-5-7-7 | 1-1-5-7 | 1-1-3-7 | 1-3-3-7 | 3-3-3-7 | 3-3-5-7 | 3-5-7-7 | 5-7-7-8 | 7-7-8-8 | 2-7-8-8 | 3-7-8-8 | 1-3-8-8 | 1-6-8-8 | 1-5-6-8 | 1-1-5-8 | 1-1-4-8 | 1-4-7-8 | 4-7-7-8 | 4-7-8-8 | 2-4-8-8 | 2-5-8-8 | 5-5-8-8 | 5-5-7-8 | 1-5-5-8 | 1-2-5-8 | 1-2-2-8 | 2-2-8-8 |
| 2-2-2-6 | 2-2-2-5 | 1-2-2-5 | 1-1-2-5 | 1-1-1-5 | 1-1-4-5 | 1-1-4-4 | 1-4-4-6 | 4-4-6-6 | 2-4-6-6 | 2-3-4-6 | 2-3-3-4 | 3-3-4-5 | 3-3-5-5 | 3-3-5-6 | 3-5-6-6 | 1-3-6-6 | 1-2-3-6 | 1-1-3-6 | 1-1-5-6 | 1-5-5-6 | 1-5-6-7 | 5-6-6-7 | 2-5-6-7 | 2-5-7-7 | 2-4-7-7 | 4-6-7-7 | 1-4-7-7 | 1-4-5-7 | 1-2-5-7 | 1-2-3-7 | 2-3-3-7 | 3-3-4-7 | 3-4-5-7 | 3-5-6-7 | 5-6-7-8 | 5-7-8-8 | 7-8-8-8 | 1-7-8-8 | 1-1-8-8 | 1-5-8-8 | 1-3-5-8 | 1-1-3-8 | 1-1-7-8 | 1-7-7-8 | 6-7-7-8 | 6-7-8-8 | 2-6-8-8 | 5-6-8-8 | 3-5-8-8 | 3-5-7-8 | 1-5-7-8 | 2-5-7-8 | 2-2-7-8 | 2-2-2-8 |
| 2-2-6-6 | 2-2-5-6 | 2-2-5-5 | 1-2-5-5 | 1-1-5-5 | 1-4-5-5 | 1-4-4-5 | 1-4-4-4 | 4-4-4-6 | 2-4-4-6 | 2-2-4-6 | 2-2-3-4 | 2-3-4-5 | 2-3-5-5 | 3-5-5-6 | 1-3-5-6 | 1-3-3-6 | 1-2-3-3 | 1-1-3-3 | 1-1-3-5 | 1-3-5-5 | 1-5-5-7 | 5-5-6-7 | 5-6-7-7 | 5-7-7-7 | 4-7-7-7 | 3-4-7-7 | 1-3-4-7 | 1-1-4-7 | 1-1-2-7 | 1-2-7-7 | 2-3-7-7 | 2-3-4-7 | 2-4-5-7 | 4-5-6-7 | 4-5-7-8 | 4-5-8-8 | 5-8-8-8 | 1-8-8-8 | 1-2-8-8 | 1-4-8-8 | 1-3-4-8 | 1-3-3-8 | 1-3-7-8 | 1-6-7-8 | 6-6-7-8 | 2-6-7-8 | 2-5-6-8 | 5-5-6-8 | 3-5-6-8 | 3-4-5-8 | 1-4-5-8 | 2-4-5-8 | 2-2-4-8 | 2-2-3-8 |
| 2-6-6-6 | 2-5-6-6 | 2-5-5-6 | 2-5-5-5 | 1-5-5-5 | 4-5-5-5 | 4-4-5-5 | 4-4-4-5 | 4-4-4-4 | 2-4-4-4 | 2-2-4-4 | 1-2-2-4 | 2-2-4-5 | 2-4-5-5 | 4-5-5-6 | 1-4-5-6 | 1-3-4-6 | 1-3-3-4 | 1-1-3-4 | 1-3-4-5 | 1-3-3-5 | 1-3-5-7 | 3-5-5-7 | 5-5-7-7 | 4-5-7-7 | 4-4-7-7 | 3-4-4-7 | 1-4-4-7 | 1-2-4-7 | 1-2-2-7 | 2-2-7-7 | 2-2-3-7 | 2-3-6-7 | 2-4-6-7 | 4-4-6-7 | 4-4-7-8 | 4-4-8-8 | 4-8-8-8 | 2-8-8-8 | 2-3-8-8 | 3-4-8-8 | 3-3-4-8 | 2-3-3-8 | 3-3-7-8 | 3-6-7-8 | 3-6-6-8 | 2-6-6-8 | 5-6-6-8 | 4-5-6-8 | 3-4-6-8 | 3-4-4-8 | 4-4-5-8 | 2-4-4-8 | 2-4-6-8 | 2-3-6-8 |
| 6-6-6-6 | 5-6-6-6 | 5-5-6-6 | 5-5-5-6 | 5-5-5-5 | 3-5-5-5 | 3-4-5-5 | 3-4-4-5 | 3-4-4-4 | 2-3-4-4 | 1-2-4-4 | 1-1-2-4 | 1-2-4-5 | 2-4-4-5 | 4-4-5-6 | 3-4-5-6 | 3-4-4-6 | 3-3-4-4 | 1-3-4-4 | 1-2-3-4 | 1-2-3-5 | 2-3-5-7 | 2-5-5-7 | 5-5-5-7 | 4-5-5-7 | 4-4-5-7 | 4-4-4-7 | 2-4-4-7 | 2-2-4-7 | 2-2-2-7 | 2-2-5-7 | 2-2-6-7 | 1-2-6-7 | 1-4-6-7 | 3-4-6-7 | 4-6-7-8 | 4-6-8-8 | 6-8-8-8 | 8-8-8-8 | 3-8-8-8 | 3-3-8-8 | 3-3-3-8 | 3-3-5-8 | 3-3-6-8 | 3-6-8-8 | 6-6-8-8 | 6-6-6-8 | 1-6-6-8 | 4-6-6-8 | 4-4-6-8 | 4-4-4-8 | 1-4-4-8 | 1-2-4-8 | 1-4-6-8 | 1-2-6-8 |
Rectangle 33x10
With multisets from 1..8
| 1-1-1-1 | 1-1-1-2 | 1-1-2-2 | 1-2-2-2 | 2-2-2-2 | 2-2-2-3 | 2-2-3-4 | 2-2-3-6 | 2-2-2-6 | 2-2-6-6 | 2-6-6-6 | 6-6-6-6 | 3-6-6-6 | 3-3-6-6 | 3-3-3-6 | 1-3-3-6 | 3-3-4-6 | 3-4-4-6 | 4-4-6-6 | 3-4-6-6 | 2-3-4-6 | 3-4-6-8 | 4-4-6-8 | 2-4-4-8 | 4-4-4-8 | 4-4-8-8 | 4-4-5-8 | 4-5-7-8 | 4-7-8-8 | 2-4-8-8 | 2-6-8-8 | 1-2-6-8 | 1-2-4-8 |
| 1-1-1-3 | 1-1-2-3 | 1-2-2-3 | 1-2-2-5 | 2-2-2-5 | 2-2-2-4 | 1-2-2-4 | 2-2-4-6 | 2-2-5-6 | 1-2-2-6 | 1-2-6-6 | 1-6-6-6 | 1-3-6-6 | 2-3-6-6 | 2-3-3-6 | 3-3-5-6 | 3-4-5-6 | 1-3-4-6 | 1-4-6-6 | 4-6-6-6 | 2-4-6-6 | 4-6-6-8 | 2-4-6-8 | 2-3-4-8 | 3-4-4-8 | 1-4-4-8 | 4-4-7-8 | 4-7-7-8 | 2-4-7-8 | 2-2-4-8 | 2-2-6-8 | 2-5-6-8 | 2-4-5-8 |
| 1-1-3-3 | 1-2-3-3 | 2-2-3-3 | 2-2-3-5 | 2-2-5-5 | 2-2-4-5 | 2-2-4-4 | 2-4-4-6 | 2-4-5-6 | 1-2-4-6 | 1-1-2-6 | 1-1-6-6 | 1-1-3-6 | 1-2-3-6 | 2-3-5-6 | 3-5-5-6 | 4-5-5-6 | 1-4-5-6 | 4-5-6-6 | 5-6-6-6 | 2-5-6-6 | 2-6-6-8 | 2-3-6-8 | 2-3-3-8 | 3-3-4-8 | 1-3-4-8 | 3-4-7-8 | 3-7-7-8 | 2-3-7-8 | 2-2-3-8 | 2-2-2-8 | 2-2-5-8 | 1-2-5-8 |
| 1-3-3-3 | 2-3-3-3 | 2-3-3-4 | 2-3-4-5 | 2-4-5-5 | 2-4-4-5 | 2-4-4-4 | 4-4-4-6 | 4-4-5-6 | 1-4-4-6 | 1-1-4-6 | 1-1-1-6 | 1-1-5-6 | 1-2-5-6 | 2-5-5-6 | 5-5-5-6 | 1-5-5-6 | 1-3-5-6 | 3-5-6-6 | 5-5-6-6 | 1-5-6-6 | 5-6-6-8 | 3-5-6-8 | 3-3-5-8 | 3-3-3-8 | 1-3-3-8 | 1-3-7-8 | 1-7-7-8 | 2-7-7-8 | 2-2-7-8 | 2-2-8-8 | 1-2-2-8 | 1-2-3-8 |
| 3-3-3-3 | 3-3-3-4 | 3-3-4-4 | 3-4-4-5 | 4-4-5-5 | 4-4-4-5 | 4-4-4-4 | 4-4-4-7 | 4-4-6-7 | 1-4-6-7 | 1-1-4-7 | 1-1-1-7 | 1-1-5-7 | 1-2-5-7 | 2-5-5-7 | 5-5-5-7 | 5-5-6-7 | 3-5-6-7 | 3-6-6-7 | 5-6-6-7 | 1-6-6-7 | 1-6-6-8 | 1-3-6-8 | 3-3-6-8 | 3-3-8-8 | 3-3-7-8 | 3-5-7-8 | 5-7-7-8 | 2-5-7-8 | 2-7-8-8 | 1-2-8-8 | 1-1-2-8 | 1-1-3-8 |
| 3-3-3-5 | 3-3-4-5 | 1-3-3-4 | 1-3-4-5 | 1-4-4-5 | 1-4-4-4 | 3-4-4-4 | 3-4-4-7 | 4-4-5-7 | 1-4-5-7 | 1-4-7-7 | 1-1-7-7 | 1-1-6-7 | 1-5-6-7 | 1-5-5-7 | 5-5-7-7 | 4-5-5-7 | 4-5-6-7 | 4-6-6-7 | 2-6-6-7 | 6-6-6-7 | 6-6-6-8 | 3-6-6-8 | 3-6-8-8 | 3-4-8-8 | 3-7-8-8 | 5-7-8-8 | 5-5-7-8 | 1-5-7-8 | 1-7-8-8 | 1-1-8-8 | 1-1-1-8 | 1-1-6-8 |
| 3-3-5-5 | 2-3-3-5 | 1-3-3-5 | 1-1-3-5 | 1-1-4-5 | 1-1-4-4 | 1-3-4-4 | 1-4-4-7 | 4-4-7-7 | 4-5-7-7 | 1-5-7-7 | 1-3-7-7 | 1-1-3-7 | 1-3-6-7 | 1-3-5-7 | 3-5-5-7 | 3-4-5-7 | 3-4-6-7 | 2-4-6-7 | 2-6-7-7 | 6-6-7-7 | 6-6-7-8 | 6-6-8-8 | 1-6-8-8 | 1-4-8-8 | 1-3-8-8 | 3-5-8-8 | 3-5-5-8 | 1-3-5-8 | 1-5-8-8 | 1-1-5-8 | 1-1-4-8 | 1-1-7-8 |
| 3-4-5-5 | 2-3-5-5 | 1-3-5-5 | 1-2-3-5 | 1-2-4-5 | 1-2-4-4 | 2-3-4-4 | 2-4-4-7 | 2-4-7-7 | 2-4-5-7 | 2-5-7-7 | 1-2-7-7 | 1-1-2-7 | 1-2-3-7 | 1-3-3-7 | 3-3-5-7 | 3-5-7-7 | 3-6-7-7 | 4-6-7-7 | 1-6-7-7 | 5-6-7-7 | 5-6-7-8 | 5-6-8-8 | 4-6-8-8 | 4-8-8-8 | 3-8-8-8 | 2-3-8-8 | 2-3-5-8 | 3-4-5-8 | 4-5-8-8 | 1-4-5-8 | 1-4-7-8 | 1-2-7-8 |
| 3-5-5-5 | 2-5-5-5 | 1-5-5-5 | 1-2-5-5 | 1-1-2-5 | 1-1-2-4 | 1-2-3-4 | 1-2-4-7 | 2-2-4-7 | 2-2-5-7 | 2-2-7-7 | 1-2-2-7 | 1-2-6-7 | 2-3-6-7 | 3-3-6-7 | 3-3-3-7 | 3-3-7-7 | 3-7-7-7 | 4-7-7-7 | 1-7-7-7 | 6-7-7-7 | 6-7-7-8 | 6-7-8-8 | 6-8-8-8 | 1-8-8-8 | 2-8-8-8 | 2-5-8-8 | 2-5-5-8 | 4-5-5-8 | 4-5-6-8 | 1-4-6-8 | 4-6-7-8 | 2-6-7-8 |
| 5-5-5-5 | 4-5-5-5 | 1-4-5-5 | 1-1-5-5 | 1-1-1-5 | 1-1-1-4 | 1-1-3-4 | 1-3-4-7 | 2-3-4-7 | 2-2-3-7 | 2-2-2-7 | 2-2-6-7 | 3-3-5-7 | 2-3-5-7 | 2-3-3-7 | 3-3-4-7 | 3-4-7-7 | 2-3-7-7 | 2-7-7-7 | 7-7-7-7 | 5-7-7-7 | 7-7-7-8 | 7-7-8-8 | 7-8-8-8 | 8-8-8-8 | 5-8-8-8 | 5-5-8-8 | 5-5-5-8 | 1-5-5-8 | 5-5-6-8 | 1-5-6-8 | 2-3-3-8 | 3-6-7-8 |
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