N-Puzzle problem is an important problem in mathematics and has implications in Artificial Intelligence especially in gaming. The work presented reviews the previous attempts to solve this problem. A formal definition of the problem has been presented. The reason why it is considered as NP hard problem and why Genetic Algorithms (GAs) is applied has been explained. The work here by presents a GAs based algorithm to solve N-Puzzle problem. The algorithm has been analyzed and it is a sturdy belief that the presented algorithm has complexity better than most of the works studied. The work is a part of larger endeavor to solve all NP Hard problems by GAs.
Abstract-Subset Sum Problem (SSP) is an NP Complete problem which finds its application in diverse fields. The work suggests the solution of above problem with the help of genetic Algorithms (GAs). The work also takes into consideration, the various attempts that have been made to solve this problem and other such problems. The intent is to develop a generic methodology to solve all NP Complete problems via GAs thus exploring their ability to find out the optimal solution from amongst huge set of solutions. The work has been implemented and analyzed with satisfactory results.
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