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If a function $f: V(G) \\rightarrow \\{0,1,2\\}$ satisfying the condition that $V_i$ is independent for $i \\in \\{1,2\\}$ and every vertex $u$ for which $f(u) = 0$ is adjacent to at least one vertex $v$ for which $f(v) = i$ for each $i \\in \\{1,2\\}$, then $f$ is called a 2-rainbow independent dominating function (2RiDF). The weight $w(f)$ of a 2RiDF $f$ is the value $w(f) = |V_1|+|V_2|$. 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