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Seeks the minimum number of checkers placed on a board required to allow pieces to move by a sequence of horizontal
or vertical jumps (removing the piece jumped over) 
rows beyond the forward-most initial checker. The first few
cases are 2, 4, 8, 20. It is, however, impossible to reach level 5.
References
Honsberger, R. Mathematical Gems II. Washington, DC: Math. Assoc. Amer., pp. 23-28, 1976.