<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Moving pieces to become black alternation with white (MPBBAW)is a game in which black and white pieces are continuously arranged by moving. This article traces the problem of MPBBAW and points out the possibility and necessity of computer calculation and commercial application of the problem. Using the non- recursive algorithm based on dimensionality reduction, this article deals with the problem of n-order MPBBAW. The special-order problem is solved and resubstituted. Thus, the computer processing and rule exploration of n-order and n-order MPBBAW are realised. As an auxiliary card, C++ is used to provide 20 black and 20 white pieces as an example. This article lays a foundation for the computer calculation and commercial application of MPBBAW.</p>
</abstract>

Moving pieces to become black alternation with white (MPBBAW)is a game in which black and white pieces are continuously arranged by moving. This article traces the problem of MPBBAW and points out the possibility and necessity of computer calculation and commercial application of the problem. Using the non- recursive algorithm based on dimensionality reduction, this article deals with the problem of n-order MPBBAW. The special-order problem is solved and resubstituted. Thus, the computer processing and rule exploration of n-order and n-order MPBBAW are realised. As an auxiliary card, C++ is used to provide 20 black and 20 white pieces as an example. This article lays a foundation for the computer calculation and commercial application of MPBBAW.

An algorithm of moving pieces to become black alternation with white based on dimension reduction

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

Moving pieces to become black alternation with white (MPBBAW)is a game in which black and white pieces are continuously arranged by moving. This article traces...

An algorithm of moving pieces to become black alternation with white based on dimension reduction

Published Online: Apr 09, 2021

Page range: 163 - 170

Received: Dec 04, 2020

Accepted: Jan 31, 2021

DOI: https://doi.org/10.2478/amns.2021.1.00028

Keywords
moving pieces to become black alternation with white, arrangement, dimension reduction, algorithm

© 2020 Sha Yanfei et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Figure 2

An algorithm of moving pieces to become black alternation with white based on dimension reduction

Published Online: Apr 09, 2021

Page range: 163 - 170

Received: Dec 04, 2020

Accepted: Jan 31, 2021

DOI: https://doi.org/10.2478/amns.2021.1.00028

Keywordsmoving pieces to become black alternation with white, arrangement, dimension reduction, algorithm

© 2020 Sha Yanfei et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Figure 2

Keywords
moving pieces to become black alternation with white, arrangement, dimension reduction, algorithm