For any given square, we can now find the probability that a randomly chosen path is a Knight's Tour. If X = No. of Knight's Tours, and Y = No. of Paths, then
2 | 2 | 2 |
2 | 0 | 2 |
2 | 2 | 2 |
15 | 12 | 12 | 15 |
12 | 18 | 18 | 12 |
15 | 12 | 12 | 15 |
140 | 128 | 86 | 128 | 140 |
120 | 144 | 108 | 144 | 120 |
140 | 128 | 86 | 128 | 140 |
833 | 700 | 582 | 582 | 700 | 833 |
804 | 804 | 574 | 574 | 804 | 804 |
833 | 700 | 582 | 582 | 700 | 833 |
4643 | 3982 | 2913 | 3332 | 2913 | 3982 | 4643 |
4294 | 4556 | 3242 | 2932 | 3242 | 4556 | 4294 |
4643 | 3982 | 2913 | 3332 | 2913 | 3982 | 4643 |
27824 | 23886 | 18304 | 18375 | 18375 | 18304 | 23886 | 27824 |
26292 | 26724 | 19038 | 17966 | 17966 | 19038 | 26724 | 26292 |
27824 | 23886 | 18304 | 18375 | 18375 | 18304 | 23886 | 27824 |
165155 | 140354 | 107958 | 113359 | 103150 | 113359 | 107958 | 140354 | 165155 |
157668 | 161226 | 114332 | 106444 | 109776 | 106444 | 114332 | 161226 | 157668 |
165155 | 140354 | 107958 | 113359 | 103150 | 113359 | 107958 | 140354 | 165155 |
968532 | 819862 | 629021 | 656397 | 627555 | 627555 | 656397 | 629021 | 819862 | 968532 |
927766 | 942486 | 656114 | 631118 | 638592 | 638592 | 631118 | 656114 | 942486 | 927766 |
968532 | 819862 | 629021 | 656397 | 627555 | 627555 | 656397 | 629021 | 819862 | 968532 |
5611265 | 4740822 | 3640058 | 3750102 | 3594531 | 3738552 | 3594531 | 3750102 | 3640058 | 4740822 | 5611265 |
5390962 | 5438448 | 3774276 | 3588074 | 3725556 | 3655456 | 3725556 | 3588074 | 3774276 | 5438448 | 5390962 |
5611265 | 4740822 | 3640058 | 3750102 | 3594531 | 3738552 | 3594531 | 3750102 | 3640058 | 4740822 | 5611265 |
32397038 | 27325918 | 20984726 | 21576046 | 20503421 | 21222770 | 21222770 | 20503421 | 21576046 | 20984726 | 27325918 | 32397038 |
31223338 | 31394926 | 21690708 | 20638264 | 21129754 | 21164064 | 21164064 | 21129754 | 20638264 | 21690708 | 31394926 | 31223338 |
32397038 | 27325918 | 20984726 | 21576046 | 20503421 | 21222770 | 21222770 | 20503421 | 21576046 | 20984726 | 27325918 | 32397038 |