UKMT Pink Kangaroo, 2018

Lonneke drew a regular polygon with 2018 vertices, which she labelled from 1 to 2018, in a clockwise direction. She then drew a diagonal from the vertex labelled 18 to the vertex labelled 1018. She also drew the diagonal from the vertex labelled 1018 to the vertex labelled 2000. This divided the original polygon into three new polygons. How many vertices did each of the resulting three polygons have?

(A) $38, 983, 1001$ (B) $37, 983, 1001$ (C) $38, 982, 1001$ (D) $37, 982, 1000$ (E) $37, 983, 1002$