Multisets with 3 Elements
As already mentioned rectangles of size 1 x w can always be constructed by the w=(n+2)C 3 multisets
of cardinality 3 chosen from n items. Also a lot of chains with a width of 2 can be made.
For n>=6 some rectangles of size a x b with a>=b>=3 are shown.
n=6, k=3, 56 multisets
The six items to choose from are high and low boxes, high and low octogonal prisms and high and low pyramids.
The 56 multisets made from these items were printed on squares with random positions.
On the left there are three or two equal items, on the right all items are different.
Rectangle 14x4
1-1-1 | 1-1-6 | 1-6-6 | 6-6-6 | 5-6-6 | 4-6-6 | 4-4-6 | 4-4-4 | 1-4-4 | 1-4-6 | 4-5-6 | 1-4-5 | 1-2-4 | 1-2-2 |
1-1-5 | 1-1-3 | 1-3-6 | 3-6-6 | 2-6-6 | 2-4-6 | 2-4-4 | 4-4-5 | 3-4-4 | 3-4-6 | 3-5-6 | 1-5-6 | 1-2-5 | 1-2-6 |
1-1-2 | 1-2-3 | 1-3-3 | 3-3-6 | 2-3-6 | 2-2-6 | 2-2-4 | 2-4-5 | 2-3-4 | 3-4-5 | 1-3-5 | 1-5-5 | 2-5-5 | 2-5-6 |
1-1-4 | 1-3-4 | 3-3-4 | 3-3-3 | 2-3-3 | 2-2-3 | 2-2-2 | 2-2-5 | 2-3-5 | 3-3-5 | 3-5-5 | 5-5-5 | 4-5-5 | 5-5-6 |
The Rectangle of size 8x7 is shown with the real pieces.
n=7, k=3, 84 multisets
Rectangle 28x3
4-4-4 | 1-4-4 | 4-4-5 | 4-5-5 | 5-5-5 | 3-5-5 | 3-3-5 | 3-3-3 | 3-3-4 | 3-4-5 | 2-3-4 | 2-2-3 | 2-2-2 | 2-2-4 | 1-2-4 | 1-1-2 | 1-1-1 | 1-1-5 | 1-1-4 | 1-4-7 | 4-5-7 | 5-6-7 | 2-6-7 | 6-6-7 | 6-6-6 | 5-6-6 | 3-5-6 | 2-3-5 |
3-4-4 | 4-4-6 | 4-5-6 | 5-5-6 | 1-5-5 | 1-3-5 | 1-3-3 | 2-3-3 | 3-3-6 | 3-4-6 | 2-3-6 | 2-2-6 | 1-2-2 | 2-2-7 | 1-2-7 | 1-1-7 | 1-1-6 | 1-1-3 | 1-3-4 | 3-4-7 | 3-5-7 | 5-7-7 | 6-7-7 | 4-6-7 | 4-6-6 | 1-6-6 | 1-5-6 | 1-2-5 |
4-4-7 | 2-4-4 | 2-4-5 | 2-5-5 | 5-5-7 | 1-5-7 | 1-3-7 | 3-3-7 | 3-6-7 | 3-6-6 | 2-6-6 | 2-5-6 | 2-2-5 | 2-5-7 | 2-7-7 | 1-7-7 | 1-6-7 | 1-3-6 | 1-2-3 | 2-3-7 | 3-7-7 | 7-7-7 | 4-7-7 | 2-4-7 | 2-4-6 | 1-2-6 | 1-4-6 | 1-4-5 |
Rectangle 21x4
2-2-2 | 2-2-5 | 2-5-5 | 5-5-5 | 3-5-5 | 3-3-5 | 3-3-3 | 1-3-3 | 2-3-3 | 2-2-3 | 1-2-2 | 1-1-2 | 1-1-1 | 1-1-5 | 1-5-5 | 1-2-5 | 1-2-4 | 1-2-3 | 2-3-5 | 3-5-6 | 4-5-6 |
2-2-4 | 2-2-6 | 2-5-6 | 5-5-6 | 5-5-7 | 3-5-7 | 3-3-7 | 3-3-4 | 3-3-6 | 2-3-6 | 1-2-6 | 1-1-6 | 1-1-4 | 1-1-3 | 1-3-5 | 1-5-7 | 1-2-7 | 2-3-7 | 2-3-4 | 3-4-5 | 4-5-5 |
2-4-4 | 2-4-6 | 2-6-6 | 5-6-6 | 5-6-7 | 5-7-7 | 3-7-7 | 3-4-7 | 3-6-7 | 3-6-6 | 1-6-6 | 1-4-6 | 1-4-4 | 1-3-4 | 1-3-7 | 1-7-7 | 2-7-7 | 2-5-7 | 2-4-5 | 4-5-7 | 4-4-5 |
4-4-4 | 4-4-6 | 4-6-6 | 6-6-6 | 6-6-7 | 6-7-7 | 7-7-7 | 4-7-7 | 4-6-7 | 3-4-6 | 1-3-6 | 1-5-6 | 1-4-5 | 1-4-7 | 1-1-7 | 1-6-7 | 2-6-7 | 2-2-7 | 2-4-7 | 4-4-7 | 3-4-4 |
Rectangle 14x6
5-5-5 | 5-5-7 | 3-5-7 | 3-3-7 | 2-3-7 | 1-3-7 | 1-2-7 | 2-6-7 | 2-6-6 | 6-6-6 | 3-6-6 | 3-5-6 | 3-4-6 | 3-4-4 |
1-5-5 | 3-5-5 | 3-3-5 | 3-3-3 | 2-3-3 | 1-2-3 | 1-2-4 | 2-4-7 | 2-4-6 | 4-6-6 | 5-6-6 | 4-5-6 | 4-4-6 | 2-4-4 |
1-1-5 | 1-3-5 | 1-3-3 | 3-3-6 | 3-3-4 | 1-3-4 | 1-4-7 | 4-4-7 | 4-6-7 | 6-6-7 | 1-6-6 | 1-4-6 | 1-4-4 | 4-4-4 |
1-1-4 | 1-1-3 | 1-3-6 | 2-3-6 | 2-3-4 | 3-4-5 | 4-5-7 | 4-7-7 | 3-4-7 | 3-6-7 | 1-6-7 | 1-5-6 | 1-4-5 | 4-4-5 |
1-1-7 | 1-1-6 | 1-2-6 | 2-2-6 | 2-2-3 | 2-3-5 | 2-5-7 | 5-7-7 | 3-7-7 | 6-7-7 | 5-6-7 | 2-5-6 | 2-4-5 | 4-5-5 |
1-1-1 | 1-1-2 | 1-2-2 | 2-2-2 | 2-2-4 | 2-2-5 | 2-2-7 | 2-7-7 | 7-7-7 | 1-7-7 | 1-5-7 | 1-2-5 | 2-5-5 | 5-5-6 |
Rectangle 12x7
5-5-7 | 5-5-6 | 4-5-6 | 3-4-6 | 3-4-4 | 4-4-7 | 4-5-7 | 4-6-7 | 2-6-7 | 2-6-6 | 6-6-6 | 1-6-6 |
5-5-5 | 4-5-5 | 3-4-5 | 3-3-4 | 3-4-7 | 4-7-7 | 5-7-7 | 5-6-7 | 6-6-7 | 3-6-6 | 5-6-6 | 4-6-6 |
1-5-5 | 3-5-5 | 3-3-5 | 3-3-3 | 3-3-7 | 3-7-7 | 7-7-7 | 6-7-7 | 3-6-7 | 3-5-6 | 2-5-6 | 2-4-6 |
1-1-5 | 1-3-5 | 1-3-3 | 3-3-6 | 2-3-3 | 2-3-7 | 2-7-7 | 1-7-7 | 1-6-7 | 1-5-6 | 1-2-5 | 2-4-5 |
1-1-4 | 1-1-3 | 1-3-6 | 2-3-6 | 2-3-4 | 2-4-7 | 1-2-7 | 1-5-7 | 1-4-7 | 1-4-6 | 1-4-5 | 4-4-5 |
1-1-7 | 1-1-6 | 1-2-6 | 2-2-6 | 2-2-3 | 2-2-7 | 2-5-7 | 3-5-7 | 1-3-7 | 1-3-4 | 1-4-4 | 4-4-6 |
1-1-1 | 1-1-2 | 1-2-2 | 2-2-2 | 2-2-4 | 2-2-5 | 2-5-5 | 2-3-5 | 1-2-3 | 1-2-4 | 2-4-4 | 4-4-4 |
n=8, k=3, 120 multisets
Rectangle 40x3
4-8-8 | 5-8-8 | 3-5-8 | 3-3-8 | 3-3-6 | 3-6-7 | 3-5-6 | 5-5-6 | 4-5-5 | 2-4-5 | 1-4-5 | 1-1-4 | 1-1-7 | 1-3-7 | 1-6-7 | 1-5-7 | 1-5-5 | 3-5-5 | 2-3-5 | 2-2-3 | 2-2-6 | 2-6-7 | 2-4-7 | 3-4-7 | 3-3-4 | 1-3-4 | 3-4-6 | 4-6-7 | 4-7-8 | 3-7-8 | 1-7-8 | 1-5-8 | 1-1-5 | 1-1-1 | 1-1-6 | 1-5-6 | 1-6-6 | 1-3-6 | 1-6-8 | 6-7-8 |
1-8-8 | 2-8-8 | 3-8-8 | 3-6-8 | 3-6-6 | 6-6-7 | 5-6-6 | 4-5-6 | 4-4-5 | 2-4-4 | 1-4-4 | 1-4-7 | 1-7-7 | 3-7-7 | 6-7-7 | 5-7-7 | 5-5-7 | 5-5-5 | 2-5-5 | 2-2-5 | 1-2-2 | 2-2-7 | 2-3-7 | 3-3-7 | 1-3-3 | 1-3-5 | 3-4-5 | 4-5-7 | 4-5-8 | 3-4-8 | 1-4-8 | 1-2-8 | 1-1-8 | 1-1-3 | 1-1-2 | 1-2-5 | 1-2-6 | 2-3-6 | 2-6-8 | 2-7-8 |
8-8-8 | 7-8-8 | 6-8-8 | 6-6-8 | 6-6-6 | 2-6-6 | 4-6-6 | 4-4-6 | 4-4-4 | 4-4-8 | 3-4-4 | 4-4-7 | 4-7-7 | 7-7-7 | 2-7-7 | 7-7-8 | 5-7-8 | 5-5-8 | 2-5-8 | 2-2-8 | 2-2-2 | 2-2-4 | 2-3-4 | 2-3-3 | 3-3-3 | 3-3-5 | 3-5-7 | 5-6-7 | 5-6-8 | 4-6-8 | 2-4-8 | 2-3-8 | 1-3-8 | 1-2-3 | 1-2-7 | 1-2-4 | 1-4-6 | 2-4-6 | 2-5-6 | 2-5-7 |
The other rectangles of size 30x4, 24x5, 20x6, 15x8 and 12x10 are on
the 100+ puzzle gallery of my site.
n=9, k=3, 165 multisets
Rectangle 55x3
8-8-8 | 3-8-8 | 4-8-8 | 4-4-8 | 4-4-4 | 4-4-9 | 4-4-5 | 4-5-5 | 5-5-5 | 5-5-9 | 1-5-5 | 1-1-5 | 1-1-1 | 1-1-8 | 1-1-7 | 1-7-7 | 7-7-7 | 7-7-8 | 2-7-7 | 2-2-7 | 2-2-2 | 2-2-8 | 2-2-4 | 2-4-7 | 4-7-8 | 6-7-8 | 6-6-8 | 6-6-6 | 3-6-6 | 3-3-6 | 3-3-3 | 3-3-8 | 3-3-7 | 1-3-3 | 1-1-3 | 1-1-9 | 1-5-9 | 1-4-5 | 4-5-6 | 3-4-6 | 4-6-9 | 3-6-9 | 3-6-8 | 5-6-8 | 5-8-9 | 4-8-9 | 4-7-9 | 5-7-9 | 2-5-9 | 1-2-9 | 1-2-8 | 1-7-8 | 1-4-7 | 4-6-7 | 4-6-6 |
7-8-8 | 5-8-8 | 1-8-8 | 1-4-8 | 1-4-4 | 2-4-4 | 4-4-7 | 4-5-7 | 5-5-7 | 5-5-8 | 2-5-5 | 1-2-5 | 1-1-2 | 1-1-4 | 1-1-6 | 1-6-7 | 6-7-7 | 3-7-7 | 7-7-9 | 2-7-9 | 2-2-9 | 2-2-3 | 2-2-6 | 2-6-7 | 2-7-8 | 7-8-9 | 6-8-9 | 6-6-9 | 5-6-6 | 3-5-6 | 3-3-5 | 2-3-3 | 3-3-4 | 3-3-9 | 1-3-9 | 1-9-9 | 5-9-9 | 4-5-9 | 4-5-8 | 3-4-8 | 3-4-9 | 3-8-9 | 3-5-8 | 1-5-8 | 1-8-9 | 1-4-9 | 1-7-9 | 1-5-7 | 2-5-7 | 1-2-7 | 1-2-3 | 1-3-7 | 1-3-4 | 1-4-6 | 2-4-6 |
2-8-8 | 8-8-9 | 6-8-8 | 4-6-8 | 4-4-6 | 3-4-4 | 3-4-7 | 4-7-7 | 5-7-7 | 5-7-8 | 2-5-8 | 2-2-5 | 1-2-2 | 1-2-4 | 1-2-6 | 1-6-6 | 6-6-7 | 3-6-7 | 3-7-9 | 7-9-9 | 2-9-9 | 2-3-9 | 2-6-9 | 2-6-6 | 2-6-8 | 2-8-9 | 8-9-9 | 6-9-9 | 5-6-9 | 5-5-6 | 3-5-5 | 2-3-5 | 3-4-5 | 3-5-9 | 3-9-9 | 9-9-9 | 4-9-9 | 2-4-9 | 2-4-5 | 2-4-8 | 2-3-4 | 2-3-8 | 3-7-8 | 1-3-8 | 1-6-8 | 1-6-9 | 6-7-9 | 5-6-7 | 3-5-7 | 2-3-7 | 2-3-6 | 1-3-6 | 1-3-5 | 1-5-6 | 2-5-6 |
Rectangle 33x5
2-4-4 | 4-4-5 | 4-5-7 | 5-7-7 | 3-7-7 | 3-5-7 | 3-5-5 | 2-5-5 | 4-5-5 | 2-4-5 | 2-2-4 | 2-2-7 | 1-2-2 | 1-1-2 | 1-1-3 | 1-1-5 | 1-5-7 | 1-3-7 | 1-2-7 | 2-3-7 | 3-4-7 | 4-7-8 | 4-4-8 | 4-4-9 | 4-9-9 | 7-9-9 | 1-7-9 | 7-8-9 | 1-8-9 | 1-9-9 | 1-2-9 | 2-2-9 | 2-8-9 |
4-4-4 | 4-4-7 | 4-7-7 | 7-7-7 | 2-7-7 | 2-5-7 | 5-5-7 | 5-5-5 | 1-5-5 | 1-2-5 | 2-2-5 | 2-2-2 | 2-2-3 | 1-2-3 | 1-3-3 | 1-3-5 | 1-4-5 | 1-3-4 | 1-2-4 | 2-4-7 | 4-6-7 | 4-6-8 | 4-4-6 | 3-4-4 | 3-4-9 | 4-7-9 | 7-7-9 | 6-7-9 | 1-6-9 | 1-1-9 | 1-5-9 | 2-5-9 | 2-5-8 |
1-4-4 | 1-4-7 | 1-7-7 | 7-7-8 | 2-7-8 | 5-7-8 | 5-5-8 | 5-5-6 | 1-5-6 | 2-5-6 | 2-2-6 | 2-2-8 | 2-3-8 | 2-3-3 | 3-3-5 | 3-4-5 | 4-5-8 | 1-4-8 | 2-4-8 | 2-4-6 | 1-4-6 | 4-5-6 | 3-4-6 | 2-3-4 | 2-4-9 | 2-7-9 | 5-7-9 | 3-7-9 | 1-3-9 | 1-4-9 | 4-5-9 | 5-5-9 | 5-8-9 |
1-1-4 | 1-1-7 | 1-7-8 | 7-8-8 | 2-8-8 | 5-8-8 | 5-6-8 | 5-6-6 | 1-6-6 | 2-6-6 | 2-6-7 | 2-6-8 | 3-6-8 | 3-3-6 | 3-3-4 | 3-4-8 | 3-5-8 | 1-5-8 | 1-2-8 | 1-2-6 | 1-6-7 | 5-6-7 | 3-5-6 | 2-3-5 | 2-3-9 | 2-9-9 | 5-9-9 | 3-9-9 | 3-8-9 | 4-8-9 | 4-6-9 | 5-6-9 | 3-5-9 |
1-1-1 | 1-1-8 | 1-8-8 | 8-8-8 | 4-8-8 | 6-8-8 | 6-6-8 | 6-6-6 | 4-6-6 | 6-6-7 | 6-7-7 | 6-7-8 | 3-7-8 | 3-3-7 | 3-3-3 | 3-3-8 | 3-8-8 | 1-3-8 | 1-6-8 | 1-1-6 | 1-3-6 | 3-6-7 | 3-6-6 | 2-3-6 | 2-6-9 | 6-9-9 | 9-9-9 | 8-9-9 | 8-8-9 | 6-8-9 | 6-6-9 | 3-6-9 | 3-3-9 |
Rectangle 15x11
4-4-6 | 4-4-8 | 4-7-8 | 1-7-8 | 1-5-8 | 3-5-8 | 2-5-8 | 2-4-8 | 2-4-5 | 1-2-5 | 1-5-9 | 1-9-9 | 5-9-9 | 5-5-9 | 5-5-8 |
3-4-4 | 4-4-5 | 4-5-7 | 1-5-7 | 1-1-5 | 1-3-5 | 2-3-5 | 2-3-4 | 2-4-7 | 1-2-7 | 1-7-9 | 7-9-9 | 5-7-9 | 2-5-9 | 5-8-9 |
4-4-4 | 4-4-7 | 1-4-7 | 1-1-7 | 1-1-8 | 1-3-8 | 1-2-3 | 2-3-7 | 2-7-7 | 1-7-7 | 1-6-7 | 6-7-9 | 2-7-9 | 2-3-9 | 3-5-9 |
2-4-4 | 1-4-4 | 1-1-4 | 1-1-1 | 1-1-3 | 1-3-4 | 1-3-7 | 3-4-7 | 4-7-7 | 7-7-7 | 6-7-7 | 7-7-9 | 3-7-9 | 3-3-9 | 1-3-9 |
2-2-4 | 1-2-4 | 1-1-2 | 1-1-6 | 1-3-6 | 3-4-6 | 3-6-7 | 3-5-7 | 5-7-7 | 3-7-7 | 7-7-8 | 7-8-9 | 4-7-9 | 3-4-9 | 3-6-9 |
2-2-8 | 1-2-2 | 1-2-6 | 1-6-6 | 1-4-6 | 2-4-6 | 4-6-7 | 5-6-7 | 5-7-8 | 3-7-8 | 2-7-8 | 2-8-9 | 4-8-9 | 4-9-9 | 3-9-9 |
2-2-3 | 2-2-6 | 2-6-6 | 6-6-6 | 4-6-6 | 4-6-8 | 6-7-8 | 5-6-8 | 5-8-8 | 7-8-8 | 2-8-8 | 8-8-9 | 3-8-9 | 8-9-9 | 9-9-9 |
2-2-2 | 2-2-7 | 2-6-7 | 6-6-7 | 6-6-8 | 2-6-8 | 3-6-8 | 6-8-8 | 8-8-8 | 1-8-8 | 1-2-8 | 1-8-9 | 6-8-9 | 6-9-9 | 2-9-9 |
2-2-5 | 2-5-7 | 2-5-6 | 5-6-6 | 3-6-6 | 2-3-6 | 2-3-8 | 3-8-8 | 4-8-8 | 1-4-8 | 1-6-8 | 1-6-9 | 6-6-9 | 2-6-9 | 2-2-9 |
2-5-5 | 5-5-7 | 5-5-6 | 3-5-6 | 3-3-6 | 2-3-3 | 3-3-8 | 3-4-8 | 4-5-8 | 1-4-5 | 1-5-6 | 5-6-9 | 4-6-9 | 2-4-9 | 1-2-9 |
5-5-5 | 1-5-5 | 3-5-5 | 3-3-5 | 3-3-3 | 3-3-7 | 1-3-3 | 3-3-4 | 3-4-5 | 4-5-5 | 4-5-6 | 4-5-9 | 4-4-9 | 1-4-9 | 1-1-9 |
n=10, k=3, 220 multisets
Given the 15x11 rectangle with 3 from 9 items you can extend this to a 20x11 rectangle adding all 55 multisets
containing at least one item no 10.
5-5-5 | 1-5-5 | 3-5-5 | 3-3-5 | 3-3-3 | 3-3-7 | 1-3-3 | 3-3-4 | 3-4-5 | 4-5-5 | 4-5-6 | 4-5-9 | 4-4-9 | 1-4-9 | 1-1-9 | 1-1-10 | 1-10-10 | 1-8-10 | 1-6-10 | 5-6-10 |
2-5-5 | 5-5-7 | 5-5-6 | 3-5-6 | 3-3-6 | 2-3-3 | 3-3-8 | 3-4-8 | 4-5-8 | 1-4-5 | 1-5-6 | 5-6-9 | 4-6-9 | 2-4-9 | 1-2-9 | 1-2-10 | 2-10-10 | 8-10-10 | 6-8-10 | 2-6-10 |
2-2-5 | 2-5-7 | 2-5-6 | 5-6-6 | 3-6-6 | 2-3-6 | 2-3-8 | 3-8-8 | 4-8-8 | 1-4-8 | 1-6-8 | 1-6-9 | 6-6-9 | 2-6-9 | 2-2-9 | 2-2-10 | 2-8-10 | 8-8-10 | 5-8-10 | 2-5-10 |
2-2-2 | 2-2-7 | 2-6-7 | 6-6-7 | 6-6-8 | 2-6-8 | 3-6-8 | 6-8-8 | 8-8-8 | 1-8-8 | 1-2-8 | 1-8-9 | 6-8-9 | 6-9-9 | 2-9-9 | 2-9-10 | 8-9-10 | 4-8-10 | 4-5-10 | 1-5-10 |
2-2-3 | 2-2-6 | 2-6-6 | 6-6-6 | 4-6-6 | 4-6-8 | 6-7-8 | 5-6-8 | 5-8-8 | 7-8-8 | 2-8-8 | 8-8-9 | 3-8-9 | 8-9-9 | 9-9-9 | 9-9-10 | 4-9-10 | 4-4-10 | 1-4-10 | 1-9-10 |
2-2-8 | 1-2-2 | 1-2-6 | 1-6-6 | 1-4-6 | 2-4-6 | 4-6-7 | 5-6-7 | 5-7-8 | 3-7-8 | 2-7-8 | 2-8-9 | 4-8-9 | 4-9-9 | 3-9-9 | 3-9-10 | 3-4-10 | 2-4-10 | 4-7-10 | 1-7-10 |
2-2-4 | 1-2-4 | 1-1-2 | 1-1-6 | 1-3-6 | 3-4-6 | 3-6-7 | 3-5-7 | 5-7-7 | 3-7-7 | 7-7-8 | 7-8-9 | 4-7-9 | 3-4-9 | 3-6-9 | 3-6-10 | 3-8-10 | 2-3-10 | 2-7-10 | 7-8-10 |
2-4-4 | 1-4-4 | 1-1-4 | 1-1-1 | 1-1-3 | 1-3-4 | 1-3-7 | 3-4-7 | 4-7-7 | 7-7-7 | 6-7-7 | 7-7-9 | 3-7-9 | 3-3-9 | 1-3-9 | 1-3-10 | 3-3-10 | 3-7-10 | 7-7-10 | 5-7-10 |
4-4-4 | 4-4-7 | 1-4-7 | 1-1-7 | 1-1-8 | 1-3-8 | 1-2-3 | 2-3-7 | 2-7-7 | 1-7-7 | 1-6-7 | 6-7-9 | 2-7-9 | 2-3-9 | 3-5-9 | 3-5-10 | 3-10-10 | 7-10-10 | 6-7-10 | 7-9-10 |
3-4-4 | 4-4-5 | 4-5-7 | 1-5-7 | 1-1-5 | 1-3-5 | 2-3-5 | 2-3-4 | 2-4-7 | 1-2-7 | 1-7-9 | 7-9-9 | 5-7-9 | 2-5-9 | 5-8-9 | 5-9-10 | 9-10-10 | 4-10-10 | 4-6-10 | 6-9-10 |
4-4-6 | 4-4-8 | 4-7-8 | 1-7-8 | 1-5-8 | 3-5-8 | 2-5-8 | 2-4-8 | 2-4-5 | 1-2-5 | 1-5-9 | 1-9-9 | 5-9-9 | 5-5-9 | 5-5-8 | 5-5-10 | 5-10-10 | 10-10-10 | 6-10-10 | 6-6-10 |
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