PDF] Solitaire Chess is NP-complete

Por um escritor misterioso

Descrição

It is proved that deciding if a given instance of Solitaire Chess is solvable is NP-complete. "Solitaire Chess" is a logic puzzle published by Thinkfun, that can be seen as a single person version of traditional chess. Given a chess board with some chess pieces of the same color placed on it, the task is to capture all pieces but one using only moves that are allowed in chess. Moreover, in each move one piece has to be captured. We prove that deciding if a given instance of Solitaire Chess is solvable is NP-complete.

This book is the original and much imitated Solitaire Chess by I.A. Horowitz. Sixty two master games are presented. The reader is asked to guess the