1 2 3 4 5 6 7 8 9 10
SOLUTIONS
position, as you never can have an alternative. The moves enclosed
in brackets are to be played five times over: 6, 7, 8, 6, 5, 4, 7, 8,
9, 10, 6, 5, 4, 3, 2, 7, 8, 9, 10, 11 (6, 5, 4, 3, 2, 1), 6, 5, 4, 3, 2,
12, (7, 8, 9, 10, 11, 12), 7, 8, 9, 10, 11, 1, 6, 5, 4, 3, 2, 12, 7, 8,
9, 10, 11, 6, 5, 4, 3, 2, 8, 9, 10,11, 4, 3, 2, 10, 11, 2. We thus
have made 118 moves within the conditions, the black frogs have
changed places with the white ones, and 1 and 12 are side by side
in the positions stipulated.
159



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