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Transactions on Engineering and Computing Sciences
Article . 2021 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Solution to n-Queens Problem: Heuristic Approach

Authors: Edgar Osaghae;

Solution to n-Queens Problem: Heuristic Approach

Abstract

Finding non-backtracking solutions to n-queens problems, has been very challenging. Several researchers have attempting to find non-backtracking solutions to n-queens problem, although, some of them recorded huge successes in their researches, but none of them have attempting using the implications of even and odd n-queens, to find solutions to the n-queens problem. In this paper, an attempt was made to extract patterns created from even-numbered n-queens and odd-numbered n-queens placements on the chessboard. The research started from experimenting the placements of non-attacking queens for 4-queens, 16-queens, 32-queens and n-queens. After the experimenting with the placements of different number of queens on the chessboard, it was revealed that even-numbered and odd-numbered queens, have pattern of placement of queens. The results of this research work show how to start and finish placements of queens on the chessboard, depending on whether the n number of queens are either even or odd, using heuristic approach.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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