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\newcommand{\NC}{\mbox{\it NC}}
\newcommand{\HO}{\mbox{\it HO}}
\newcommand{\AS}{\mbox{\it AS}}
\newcommand{\SK}{\mbox{\it SK}}
\newcommand{\SHO}{\mbox{\it SHO}}
\newcommand{\AHO}{\mbox{\it AHO}}
\newcommand{\CONS}{\mbox{\it CONS}}
\newcommand{\K}{\mbox{\it K}}
\newcommand{\Alg}{\mathcal{A}}
\newcommand{\Pred}{\mathcal{P}}
\newcommand{\Spr}{S_p^r}
\newcommand{\Tpr}{T_p^r}
\newcommand{\mupr}{\vec{\mu}_p^{\,r}}
\newcommand{\MSpr}{S_p^{\rho}}
\newcommand{\MTpr}{T_p^{\rho}}
\newconstruct{\SEND}{$\Spr$:}{}{\ENDSEND}{}
\newconstruct{\TRAN}{$\Tpr$:}{}{\ENDTRAN}{}
\newconstruct{\ROUND}{\textbf{Round}}{\!\textbf{:}}{\ENDROUND}{}
\newconstruct{\VARIABLES}{\textbf{Variables:}}{}{\ENDVARIABLES}{}
\newconstruct{\INIT}{\textbf{Initialization:}}{}{\ENDINIT}{}
\newconstruct{\MSEND}{$\MSpr$:}{}{\ENDMSEND}{}
\newconstruct{\MTRAN}{$\MTpr$:}{}{\ENDMTRAN}{}
\newconstruct{\SROUND}{\textbf{Selection Round}}{\!\textbf{:}}{\ENDSROUND}{}
\newconstruct{\VROUND}{\textbf{Validation Round}}{\!\textbf{:}}{\ENDVROUND}{}
\newconstruct{\DROUND}{\textbf{Decision Round}}{\!\textbf{:}}{\ENDDROUND}{}