\section{Introduction}
\IEEEPARstart{G}{ame} 2048 is a popular single-player sliding block puzzle game,
where the game is played on a 4$\times$4 grid,  the player 
can move the tiles in four directions - up, down, left, and right,
and the objective is to reach 2048 tile or higher tile.
While the game is simple to understand, it requires strategic
 thinking and planning to reach the 2048 tile.
 2048 has gained widespread popularity due to its addictive
  gameplay and simple mechanics, making it a favorite 
  among puzzle game enthusiasts.


\cite{szubert2014temporal}

\cite{wu2014multi}

\cite{oka2016systematic}

\cite{matsuzaki2016systematic}

\cite{yeh2016multistage}

\cite{jaskowski2017mastering}

\cite{matsuzaki2017developing}

\cite{kondo2019playing}

\cite{matsuzaki2020further}

\cite{matsuzaki2021developing}

\cite{guei2021optimistic}

\cite{bangole2023game}