Henry Ernest Dudeney/Modern Puzzles/150 - Counter Solitaire/Solution
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Modern Puzzles by Henry Ernest Dudeney: $150$
- Counter Solitaire
- The puzzle is to remove all but one counter by a succession of leaps.
- A counter can leap over another adjoining it to the next square beyond, if vacant,
- and in making the leap you remove the one jumped over.
- But no leap may be made in a diagonal direction.
- The following is a solution in eight moves:
- $5 - 13$, $(6 - 14, 6 - 5)$, $16 - 15$, $(3 - 13, 3 - 6)$, $2 - 10$, $(8 - 7, 8 - 16, 8 - 3)$, $(1 - 9, 1 - 2, 1 - 8)$, $(4 - 12, 4 - 1)$
- This means that $5$ leaps over $13$ and $13$ is removed, then $6$ leaps over $14$ and $14$ is removed, and so on.
- The leaps within a bracket count as one move, because the leaps are made with the same counter in succession.
- It will be seen that No. $4$ makes the last leap.
- Now try to find a solution, in seven moves, in which No. $1$ makes the last leap.
Solution
Play as follows:
- $2 - 10$
- $4 - 12$
- $6 - 5$
- $3 - 6$
- $7 - 15$
- $8 - 16 - 7 - 14 - 3$
- $1 - 9 - 2 - 11 - 8 - 13 - 4$
Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Solutions: $150$. -- Counter Solitaire
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $368$. Counter Solitaire