| 32-Hole Diamond Board |
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| Complement
Problems |
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| # |
Vacate |
Finish
at |
Length of Shortest Solution |
Number of Solutions |
Longest Sweep |
Longest Finishing Sweep |
Shortest Longest Sweep |
Number of Final Moves |
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| 1 |
(0,4) |
d1 |
(0,4) |
d1 |
19 |
28 (S) |
4 |
2 |
3 |
2 |
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| 5 |
(0,3) |
d2 |
(0,3) |
d2 |
18 |
860 (S) |
5 |
5 |
3 |
9 |
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| 8 |
(0,1) |
d4 |
(0,1) |
d4 |
18 |
1,807 (S) |
5 |
4 |
3 |
9 |
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| 12 |
(-3,1) |
a4 |
(-3,1) |
a4 |
18 |
8 |
3 |
2 |
3 |
1 |
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| 17 |
(0,2) |
d3 |
(0,2) |
d3 |
17 |
185 (S) |
8 |
1 |
3 |
3 |
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| 19 |
(-1,3) |
c2 |
(-1,3) |
c2 |
18 |
14,063 |
7 |
6 |
3 |
10 |
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| 22 |
(-1,1) |
c4 |
(-1,1) |
c4 |
17 |
119 |
8 |
7 |
4 |
6 |
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| 25 |
(-2,1) |
b4 |
(-2,1) |
b4 |
18 |
3,356 |
5 |
5 |
3 |
10 |
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| 28 |
(-1,2) |
c3 |
(-1,2) |
c3 |
17 |
544 |
6 |
6 |
3 |
9 |
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| 32 |
(-2,2) |
b3 |
(-2,2) |
b3 |
17 |
175 |
5 |
2 |
3 |
1 |
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| Column
Definitions: |
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| Length of
Shortest Solution |
This is the length of the shortest solution to
this problem, minimizing total moves |
| Number of
Solutions |
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This is the number of unique solution sequences,
irregardless of move order and symmetry |
| Longest Sweep |
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This is the longest sweep possible in any
minimal length solution [link to solution] |
| Longest
Finishing Sweep |
This is the longest sweep in the final move of
any minimal length solution [link] |
| Shortest Longest
Sweep |
There is no minimal length solution where all
sweeps are shorter than this number [link] |
| Number of Final
Moves |
This is the number of different finishing moves
(up to symmetry) |
| (S) Problem is
symmetric, multiple solutions counted as one |
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| Note that
solution diagrams are given for Vacate/Finish At in Cartesian Coordinates. |
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