Furthest Distance from Rounds

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Grandsire Triples

Using plain leads and common bobs only, the lead ends 1257364 and 1732564 are the 'furthest' to get to from 1234567. It is not possible to reach these lead ends in fewer than 12 leads. The number of different possible lead ends from each 'distance' of rounds between 2-12 leads is: 1 lead: 2 lead-ends, 2 leads: 4 lead-ends, 3:7, 4:13, 5:23, 6:38, 7:57, 8:72, 9:75, 10:50, 11:16, 12:2.

Using plain leads, common bobs and common singles, the lead ends 1543762 1526347 1432657 1524367 1634725 1263547 1574236 1563247 1536274 1624735 1543627 1432765 1734526 1564732 1234756 1376254 1357264 1325764 1736524 1527643 1735426 1423657 are the 'furthest' to get to from 1234567. It is not possible to reach these lead ends in fewer than 8 leads. The number of different possible lead ends from each 'distance' of rounds between 2-8 leads is: 1 lead: 3 lead-ends, 2 leads: 9 lead-ends, 3:25, 4:64, 5:150, 6:261, 7:185, 8:22

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