Question: Prove that the following problem is NP - hard Input: A directed graph G = ( V , E ) with each vertex colored blue

Prove that the following problem is NP-hard Input: A directed graph G =(V, E) with each vertex colored blue or red, i.e.,
V= Vblue Vred.
Goal: Find a Colored cycle which is a directed cycle through all vertices in G that alternates between blue and red vertices.
Hint: You might want to do a reduction from the Hamiltonian Cycle problem.

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