Lets assume, that we have a 3D model composed from cubes in standard Euclidean space. In our model, we are using only positive integers. Each of these cubes is defined by its corner with the smallest x, y and z coordinate by its size. Also each of these boxes have a color. In our case, while we are using only a text mode, it will be a character. You can assume, that the cubes in our model do not overlap, but there can be cubes placed above other cubes. In the code, it will be represented by following type Cube -- Point x y z data Point - Point Int Int Int data Cube - Cube {start::Point, size::Int, color::Char } Write a function view that takes a list of cubes ( [Cube] ) and returns a floor plane (a view from the top). The size of this floor plan will be computed based on the size of the boxes in the input. The result will be a list of strings. following function pp to print it on the screen. For the output format, see the sample output bellow. The bottom left corner has the coordinates (0,0), y-axis corresponds to rows and x-axis to columns. Visible parts of the cubes a visualized by its colors. Empty space is represented by character. sampleInput :: [Cube] sampleInput - [Cube { start - Point 1 1 10, size - 4, color - 'X'}, Cube { start - Point 1 5 1e, size - 3, color - '0'}, Cube { start - Point 10 8 e, size - 2, color - '#'}, Cube { start - Point e e e, size - 10, color view :: [Cube] -> Result *Main> pp (view sampleInput ) ** # *000 * *000 *000 *XXXX *XXXX *XXXX *****XXXOX

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5 - Cubes
Lets assume, that we have a 3D model composed from cubes in standard Euclidean space. In our model, we are using only positive integers. Each of these cubes is defined by its corner with the smallest x, y and z coordinates and
by its size. Also each of these boxes have a color. In our case, while we are using only a text mode, it will be a character. You can assume, that the cubes in our model do not overlap, but there can be cubes placed above other
cubes. In the code, it will be represented by following type Cube
-- Point x y z
data Point = Point Int Int Int
data Cube = Cube {start::Point, size::Int, color::Char }
Write a function view that takes a list of cubes ( [Cube] ) and returns a floor plang (a view from the top). The size of this floor plan will be computed based on the size of the boxes in the input. The result will be a list of strings. Use
following function pp to print it on the screen. For the output format, see the sample output bellow. The bottom left corner has the coordinates (0,0), y-axis corresponds to rows and x-axis to columns. Visible parts of the cubes are
visualized by its colors. Empty space is represented by character ''.
sampleInput :: [Cube]
sampleInput = [Cube { start = Point 1 1 10, size = 4, color = 'X'},
Cube { start = Point 1 5 10, size = 3, color = 'O'},
Cube { start = Point 10 8 0, size = 2, color = '#'},
•*'}]
Cube { start = Point e e 0, size = 10, color =
view :: [Cube] -> Result
*Main> pp (view sampleInput )
***##
*000*
000*
*000******
*XXXX*****
*XXXX*****
*XXXX*
*****XXXX
**********
Transcribed Image Text:5 - Cubes Lets assume, that we have a 3D model composed from cubes in standard Euclidean space. In our model, we are using only positive integers. Each of these cubes is defined by its corner with the smallest x, y and z coordinates and by its size. Also each of these boxes have a color. In our case, while we are using only a text mode, it will be a character. You can assume, that the cubes in our model do not overlap, but there can be cubes placed above other cubes. In the code, it will be represented by following type Cube -- Point x y z data Point = Point Int Int Int data Cube = Cube {start::Point, size::Int, color::Char } Write a function view that takes a list of cubes ( [Cube] ) and returns a floor plang (a view from the top). The size of this floor plan will be computed based on the size of the boxes in the input. The result will be a list of strings. Use following function pp to print it on the screen. For the output format, see the sample output bellow. The bottom left corner has the coordinates (0,0), y-axis corresponds to rows and x-axis to columns. Visible parts of the cubes are visualized by its colors. Empty space is represented by character ''. sampleInput :: [Cube] sampleInput = [Cube { start = Point 1 1 10, size = 4, color = 'X'}, Cube { start = Point 1 5 10, size = 3, color = 'O'}, Cube { start = Point 10 8 0, size = 2, color = '#'}, •*'}] Cube { start = Point e e 0, size = 10, color = view :: [Cube] -> Result *Main> pp (view sampleInput ) ***## *000* 000* *000****** *XXXX***** *XXXX***** *XXXX* *****XXXX **********
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