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\hyphenation{op-tical net-works semi-conduc-tor IEEE-Xplore}
% updated with editorial comments 8/9/2021

\begin{document}

\title{Non-ergodicity of Game 2048}

\author{Xingguo Chen,  Xinwen Li, Shangdong Yang, and Wenhao Wang
\thanks{Manuscript received XXXX; revised XXXX; accepted XXXX.
Date of publication XXXX; date of current version XXXX. The work was supported
by the National Natural Science Foundation, China (Nos. 62276142, 62206133, and 62202240).}
\IEEEcompsocitemizethanks{
\IEEEcompsocthanksitem X. Chen,  X. Li and S. Yang are
 with  the Jiangsu Key Laboratory of Big Data Security \&
Intelligent Processing, Nanjing University of Posts and Telecommunications,
 P.R., China \protect (e-mail:
chenxg@njupt.edu.cn).}%
\IEEEcompsocitemizethanks{
\IEEEcompsocthanksitem W. Wang is 
 with College of Electronic Engineering, National University of Defense Technology, 
 P.R., China \protect (e-mail:
wangwenhao11@nudt.edu.cn).
\emph{(Corresponding author: W. Wang.)}%
}

}

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{Shell \MakeLowercase{\textit{et al.}}: A Sample Article Using IEEEtran.cls for IEEE Journals}

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\begin{abstract}

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