Let G = (V, E) be weighted, directed graph with a source node s where each (u, v, w) ∈ E is an edge between vertices u and v with weight w(u, v). Suppose that for any (u, v) ∈ E, the weight is strictly non-negative such that w(u, v) ≥ 0. Let s be some source vertex. Prove it is possible to design an algorithm obtain δ(s, v) ≤ v.d. Hint: This is a formal proof rather than writing the code to achieve this. Provide the high-level construction for this proof using inductive reasoning.

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