Is there package to create a “Problem-Solution” environment that is symmetric for “twoside” pages?

Question

Background

The following screenshot shows a Problem-Solution environment that is symmetric for twoside papers.

NOTE: The problem heading is on the right side for odd-numbered pages. For even-numbered pages, the heading is on the left side. Orphan-widow issues must also be taken into account such that there is no page break at the heading.

I already created this environment but it looks so complicated. Is there a package to do this out of the box?

Maximal Code Snippet (I cannot minimize my code anymore)

\documentclass[cmyk,10pt]{article}
\usepackage[a6paper,hmargin=1cm,vmargin=2cm]{geometry}
\usepackage{ifthen}
\usepackage{xcolor}
\usepackage{lipsum}
\usepackage{calc}

\newcounter{example}[section]

\renewcommand{\theexample}{\thesection.\arabic{example}}
\newenvironment{Example}[2][]%
{%
    \refstepcounter{example}%
    %------------------- Example Head -------------------
    \par\nointerlineskip\vspace{\baselineskip}\noindent%    
    \label{example:\theexample}\color{blue}%
    \ifthenelse{\isodd{\pageref{example:\theexample}}}%
    {%
        {\color{blue}\hrulefill}%
        \raisebox{\depth}{%
            \colorbox{blue}{%
                \color{white}Example \theexample\ifthenelse{\equal{#1}{}}{}{\ (#1)}%
            }%
        }%
    }
    {%  
        \raisebox{\depth}{%
            \colorbox{blue}{%
                \color{white}Example \theexample\ifthenelse{\equal{#1}{}}{}{\ (#1)}%
            }%
        }%
        {\color{blue}\hrulefill}%
    }%
    %------------------- Example Body -------------------
    \par\nopagebreak\nointerlineskip\vspace{0.5\baselineskip}\noindent{\footnotesize#2}%
    %------------------- Solution Head -------------------
    \par\nointerlineskip\vspace{0.5\baselineskip}\noindent%
    \colorbox{red}{\makebox[\linewidth-2\fboxsep]{\color{white}Solution}}%
    %------------------- Solution Body -------------------
    \par\nopagebreak\nointerlineskip\vspace{0.5\baselineskip}\noindent%
    \color{red}\footnotesize\ignorespaces%
}
{%
    %------------------- Solution Foot -------------------
    \par\nopagebreak\nointerlineskip\vspace{0.5\baselineskip}\noindent{\color{red}\hrulefill}%
    \par\nointerlineskip\vspace{\baselineskip}\noindent\ignorespacesafterend%
}

\usepackage{multido}

\begin{document}
\section{Without Title}

\begin{Example}
{%
    \lipsum[1]
}%
\lipsum[2]
\end{Example}


\section{With Title}
\begin{Example}[With Title]
{%
    \lipsum[1]
}%
\lipsum[2]
\end{Example}

\section{Looping}

\multido{\ix=1+1}{10}{%
\begin{Example}[\ix]
{%
    \lipsum[\ix]
}%
Einstein's formula
\begin{equation}
E\not=mc^2
\end{equation}
\lipsum[\ix]
\end{Example}\lipsum[\ix]}
\end{document}

Or if there is no package, could you give me a suggestion to do it in a better way?

Answer 1

the same with tabularx and ragged2e and some minor changes:

\vspace{0.5\baselineskip}==> \medskip \vspace{\baselineskip}==> \bigskip

\newenvironment{Example}[2][]%
{%------------------- Example Head -------------------
    \par\bigskip\noindent%    
    \refstepcounter{example}\label{example:\theexample}%%
    \ifthenelse{\isodd{\pageref{example:\theexample}}}
      {\color{blue}
       \begin{tabularx}{\linewidth}{@{} >{\RaggedLeft}X @{}}
       \colorbox{blue}{\color{white}Example \theexample\ifx\relax#1\relax\else~(#1)\fi}\\\hline
       \end{tabularx}}
      {\color{blue}
       \begin{tabularx}{\linewidth}{@{} >{\RaggedRight}X @{}}%
       \colorbox{blue}{\color{white}Example \theexample\ifx\relax#1\relax\else~(#1)\fi}\\\hline
       \end{tabularx}}%
    %------------------- Example Body -------------------
    \par\nopagebreak\nointerlineskip\medskip
       \noindent{\footnotesize#2}%
    %------------------- Solution Head -------------------
    \par\nointerlineskip\medskip\noindent%
    \colorbox{red}{\makebox[\linewidth-2\fboxsep]{\color{white}Solution}}%
    %------------------- Solution Body -------------------
    \par\nopagebreak%\nointerlineskip\vspace{0.5\baselineskip}\noindent%
    \color{red}\footnotesize\ignorespaces%
}
{%------------------- Solution Foot -------------------
    \par\nopagebreak\nointerlineskip\medskip
         \noindent{\color{red}\hrulefill}%
    \par\nointerlineskip\bigskip\noindent\ignorespacesafterend%
}

Answer 2

The Memoir document class has \ifodd macro for testing whether you're on an odd page. You could do this to have the section headings display differently depending on whether you're on an odd or even page. See p. 338 of the memoir manual

The code is adapted from the changepage package, so I guess you could use that instead.