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s_i)\}_{i=1}^m\right) = \left(\{e_i\}_{i=1}^m, \{s_i\}_{i=1}^m\right) = (E_L, E_S) +\] +Επομένως υπάρχουν τα υποσύνολα $E_L\subseteq L, E_S\subseteq S$, τα οποία δεν επηρεάζονται από τη συνάρτηση $f$, και άρα δεν ανταλλάσουν τα στοιχεία μεταξύ τους. +Έτσι τα υποσύνολα τα οποία αλλάζουν στοιχεία είναι: +\[ +\begin{aligned} + L_{ex} = L \setminus E_L = \{l_{min}, \dots, s_{max}\}, l_{min} \le s_{max}\\ + S_{ex} = S \setminus E_S = \{l_{min}, \dots, s_{max}\}, l_{min} \le s_{max} +\end{aligned} +\] \end{document}