In this paper, we investigate a discrete version of the homotopic distance between two $s$-Lipschitz maps for $s \\\\geq 0$. This distance is defined by specifying a step length $r$, such that two maps are considered homotopic if $r$ is sufficiently large. In spaces with a significant number of holes, where no continuous homotopy exist and the homotopic distance equals infinite, the discrete homotopic distance provides a meaningful classification by effectively ignoring smaller holes. We show that the discrete homotopic distance $D_r$ generalizes key concepts such as the discrete Lusternik-Schnirelmann category $\\\\text{cat}_r$ and the discrete topological complexity $\\\\text{TC}_r$. Furthermore, we prove that $D_r$ is invariant under discrete homotopy relations. This approach offers a flexible framework for classifying $s$-Lipschitz maps, loops, and paths based on the choice of $r$.

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