This table indicates time (in seconds) to traverse the totality of a tree of research for a given index. The index represents the initial number of jumps starting from the starting point. The larger index is, the more the tree of research is reduced. When Index is 1, the totality of the tree was traversed. The column "square" indicates the beginning of the initial way tested by the knight. The way is read upwards. For example, for start 0, the first way tested is the continuation of boxes 0,10,4,14,31,46,63,53,47,62,52, a.s.o ...

All the trees resulting from these the first 10 steps were traversed in 1687 seconds.

All the solutions were found 2 times (once in direct way + once by considering the dual way) in 54 days. (8 searches ran on pentium IV 1,7 Ghz and 2 other on Pentium IV 2,4 Ghz)

The starting zone is indicated on this diagram

 

 

Research starting from departures 9 and 11 was launched on a machine pentium 4, 2,4 Ghz. Other research is carried out on a pentium 4 1,7Ghz.

Machine pentium IV  1,7 G have pentium IV  1,7 G have pentium IV 1,7 G have pentium IV 1,7 G have pentium IV  2,4 G have pentium IV  1,7 G have pentium IV  2,4 G have pentium IV  1,7 G have pentium IV  1,7 G have pentium IV  1,7 G have
departure A1 - 00   B1 - 01   C1 - 02   D1 - 03   B2 - 09   C2 - 10   D2 - 11   C3 - 18   D3 - 19   D4 - 27  
Index time square time square time square time square time square time square time square time square time square time square
22 1  26 1 36 1  60 1  31 1  50 1 52 1 60 1 14 1 50 1 62
21 1  20 1 26 1  50 1  14 1  54 1 62 1 54 1 31 1 56 1 47
20 1  30 1 11 1  56 1  4 1  37 1 47 1 39 1 37 1 41 1 30
19 2  15 1 28 2  41 1  10 1  31 1 30 1 22 1 27 4 24 4 13
18 7  5 1 18 20  24 5  25 1  21 7 13 1 12 1 12 6 9 4 7
17 78  11 2 12 42  9 16  8 5  11 7 7 1 6 1 6 8 3 11 22
16 114  1 2 6 114  3 42  2 13  1 7 22 2 23 1 23 50 13 52 12
15 137  16 4 23 501  13 149  12 40  16 230 12 13 38 3 38 50 7 64 6
14 254  33 36 38 501  7 221  6 102  33 296 6 17 55 4 55 50 22 95 23
13 282  48 47 55 875  22 310  23 143  48 434 23 22 61 5 61 462 12 268 38
12 355  58 57 61 5 075  12 658  38 164  58 1 265 38 51 51 13 51 573 6 368 55
11 1 687  52 137 51 7 076  6 735  55 312  52 1 683 55 66 57 16 57 775 23 469 61
10 2 329  62 169 57 9 236  23 849  61 358  62 2 010 61 112 40 22 40 2 166 38 1 052 51
9 4 043  47 248 40 19 442  38 2 853  51 432  47 4 536 51 713 25 147 25 2 786 55 1 254 57
8 32 295  53 1837 25 24 936  55 3 683  57 1 562  30 5 168 57 932 8 147 8 3 413 61 1 584 40
7 32 295  63 2291 8 30 504  61 6 965  40 1 908  15 6 270 40 2 367 2 186 2 9 260 51 4 317 25
6 32 295  46 4802 2 70 056  51 70 493  50 3 047  5 21 424 25 15 009 17 3 401 17 12 711 57 5 497 8
5 102 427  31 50 300  17 85 754  57 70 493  56 31 432  22 25 527 8 15 009 0 3 401 0 16 743 40 10 058 2
4 156 213  14 50300 0 106 569  40 70 493  41 31 432  7 38 220 2 15 009 10 3 401 10 35 202 25 46 248 17
3 309 510  4 99606 10 306 596  25 218 224  24 39 663  13 240 716 17 107 573 16 23 670 16 43 233 8 46 248 0
2 1 146 284  10 362746 16 422 383  8 338 272  9 133 780  3 240 716 0 143 544 1 47 012 1 61 033 2 46 248 10
1  1 146 284  0  695006 1  658 633  2  682 646  3  190 851  9  324 546  10  290 238  11  128 139  18  321 107  19  198 763  27 
# Solutions 9    7    37    61    6    51    37    14    28    30   
# days                                        
of calculation 13,3    8,0    7,6    7,9    2,2    3,8    3,4    1,5    3,7    2,3   

 

The 10 curves indicating the search time (in seconds) according to the depth of the tree are provided starting from the 10 departures of the starting zone. There is a factor of 10 between the longest research (departure square 0) and the fastest research (departure square 18).