Z^2/Movement/Lucy/2/Exercise

Right now, Lucy Sonnenschein is in position ${}(-2,3)\in \mathbb {Z} ^{2}$ (the coordinates are denoted by ${}x$ and ${}y$), and looks in the direction of the positive ${}x$-axis. The following instructions refer always to her present position and her looking direction, clockwise refers to plan view. Lucy does the following movements one after another. She makes a step to the right, then two steps backwards, she turns around by ${}180$ degree, she makes three steps to the left, she make a clockwise quarter rotation, she makes four steps to the right, and two steps backwards, turns around by ${}360$ degree, and makes a step to the left.

Where is she in the end and in what direction does she look?

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