e1
d2 e2 f2
c3 d3 e3 f3 g3
b4 c4 d4 e4 f4 g4 h4
a5 b5 c5 d5 e5 f5 g5 h5 i5
b6 c6 d6 e6 f6 g6 h6
c7 d7 e7 f7 g7
d8 e8 f8
e9
B
B A B
C C B C C
B C C B C C B
B A B B A B B A B
B C C B C C B
C C B C C
B A B
B
Standard 9x9 Notation Hole Classification
(color coding used below).
(0,0) hole in bold.
41-Hole Diamond Board      
Single Vacancy to Single Survivor Problems
# Vacate Finish at Length of Shortest Solution Number of Solutions Longest Sweep Longest Finishing Sweep Shortest Longest Sweep Number of Final Moves #(Longest, Second longest, Final) [Comment]
1 (-1,3) d2 (1,3) f2 26 30 9 1 5 1 2(9,3,1), 2(7,3,1), 10(6,5,1), 10(6,3,1), 6(5,5,1)
2 (2,0) g5 (1,3) f2 26 26 9 1 5 1 2(9,3,1), 5(7,3,1), 5(6,5,1), 1(6,4,1), 9(6,3,1), 2(5,5,1), 1(5,4,1), 1(5,3,1)
3 (-1,3) d2 (-2,0) c5 26 61 7 1 4 2 1(7,5,1), 4(6,6,1), 10(6,5,1), 5(6,4,1), 14(6,3,1), 4(5,5,1), 18(5,4,1), 5(4,4,1)
4 (2,0) g5 (-2,0) c5 26 (S) 131 7 1 4 3 2(7,5,1), 15(7,4,1), 10(7,3,1), 29(6,5,1), 19(6,4,1), 6(6,3,1), 17(5,5,1), 19(5,4,1), 12(5,3,1), 2(4,4,1)
          Total: 248          
Column Definitions:
Length of Shortest Solution This is the length of the shortest solution to this problem, minimizing total moves
Number of Solutions This is the number of unique solution sequences, irregardless of move order and symmetry
Longest Sweep 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)
#(Longest, Second Longest, Eg. 12(8,7,2) indicates there are 12 solutions with different move sequences, where
, Final) the longest sweep is 8, the second longest sweep is 7, and the final sweep is 2
(S) Problem is symmetric, multiple solutions counted as one
Note that solution diagrams are given for Vacate/Finish At in Cartesian Coordinates.
Solution differences can be very subtle.
Download a text file with all 248 solutions

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