For each of (a)-(c) below, either draw a graph with the specified properties or else explain why no such graph exists.
(a) Graph with six vertices of degrees 1, 1, 2, 2, 2, and 3.
(b) Graph with four vertices of degrees 1, 2, 2, and 5.
(c) Simple graph with four vertices of degrees 1, 1, 1, and 5.
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