A knight at position (r, c) can move in an L-shaped pattern to any of eight positions: moving over one row and up/down two columns to positions (r± 1, c±2), or moving two rows over and one column up/down to positions (r ±2, c ± 1). A rook at position (r, c) can move in a straight line either horizontally or vertically, moving any integral number x of squares. The rook ends up in positions (r±x, c) for a vertical move, or (r, c + x) for a horizontal move. Figure 5.13 A chess board, and the legal moves for a knight (left) or rook (right).
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In chess, a walk for a particular piece is a sequence of legal moves for that piece, starting from a square of your choice, that visits every square of the board. A tour is a walk that visits every square only once. (See Figure 5.13.)
5.13 Prove by induction that there exists a knight’s walk of an n-by-n chessboard for any n ≥ 4. (It turns out that knight’s tours exist for all even n ≥ 6, but you don’t need to prove this fact.)
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- if the image below considered as robots, then encircle it.Please summarize the following paragraph below. You can do it in jot notes. the paragraph below are about how you can use fractal techniques for facial recognition the number number if brackets are for the images below ractal theory of iterated contractive transformation has been used in several areas of image processing and computer vision. In this method, similarity between different parts of an image is used for representing of an image by a set of contractive trans- forms on the space of images, for which the fixed point is close to the original image. This concept was first proposed by Barnsley (9) (11) . Jacquin was the first to publish an implementation of fractal image coding in (11) Despite the number of researchers and the proposed methods, several factors can significantly affect face recognition performances, such as the pose, the presence/absence of structural components, facial expressions, occlusion, and illumination variations. Different image compression methods…(Computer Graphics)Using the Cohen-Sutherland line clipping algorithm, clip the line PQ with coordinates P (-5, 3) and Q (15, 9) against a clipping rectangular window with coordinates (0, 0) and (10, 10) as lower left and upper right corner respectively. Also, find intersection points if any.
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- example of multimodal text in the form of an image. Then, analyze and discuss its content.A robot starts on a point marked “A” on a rectangular grid of points. The starting point is always the top left point on the grid. The robot can move left, right, up or down, moving from one point to the next. By moving in steps going left, right, up or down, the robot would like to reach a point marked “B”, which is always the bottom right point in the grid. Sometimes, points are marked as “x”, and the robot is not allowed to visit them at all. A robot is never allowed to visit a point more than once. In how many ways can the robot move from A to B and visit all points along the way? For example, in the following grid, represented in text as A . . . . B there is only one path from A to B: In the following grid, represented in text as A . . x x B there is still only one path (we're lucky because of the two x's): However, in the grid A . . . x B there are no ways for the robot to move from A to B and visit all points that are not marked with “x”. Write a single…Hello can you please solve all of the problems on these images using the C progaming language. I want to check my answers to see if I did my work correctly.
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