Let \( S = \mathbb{N} \cup \{0\} \). Define a relation \( R \) from \( S \) to \( \mathbb{R} \) by: \(\displaystyle R = \{(x,y) : \log_{e} y = x \log_{e}\!\left(\frac{2}{5}\right),\, x \in S, Y \in \mathbb{R}\} \). Then, the sum of all the elements in the range of \( R \) is equal to:
