(5). [25 points] For the planar straight line graph (PSLG) within a big bounding rectangle shown below, dothe following:(a). Show the decomposition of the entire scene within the bounding rectangle into horizontal trapezoidsgiven by the sweep algorithm.(b). Show the resulting diagonals that partition the scene into monotone mountains. Show them in BLUE.(Please use the convention, as mentioned in class, that the topmost vertex is connected with diagonals toboth the top left and the top right corners of the bounding rectangle; similarly, the bottommost vertex isconnected to both of the bottom corners of the bounding rectangle.)(c). Show the complete triangulation given by the triangulation algorithm (of Section 2.3), based on themonotone mountain partition. Show the diagonals in GREEN that partition each monotone mountain intotriangles, by the algorithm (Algorithm 2.2, made specific, as I did in class (and on the handout), within eachmonotone mountain face
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