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Diagonal moves are obviously impractical, because the diagonal move captures a small number of cells, and also blocks the path of future lines. Since the beginning and end cells are on the same horizontal, it is optimal to fill the horizontal completely, using vertical single-celled transitions. Use a large one vertical line to climb up and 7 small ones to make transitions from horizontal to horizontal. There are 8 horizontal lines in total, but since it is impossible to draw one horizontal line through the entrance and exit, at the bottom it will be divided into two parts, that is, 9 horizontal lines. 1+7+9=17 moves only. Let's show one of the options: