Solve Exercise 5 using a 2D numpy array to represent the room.
A room is composed of $N \times N$ tiles. A file contains the value of $N$, followed by the coordinates of lightspots (one per line) that illuminate the room. Each lightspot illuminates the tile it’s placed on with intensity $1$, the eight adjacent tiles with intensity $1/2$, and the $16$ surrounding tiles with intensity $1/5$, as:
$0.2\ \ \ 0.2\ \ \ 0.2\ \ \ 0.2\ \ \ 0.2\\ 0.2\ \ \ 0.5\ \ \ 0.5\ \ \ 0.5\ \ \ 0.2\\ 0.2\ \ \ 0.5\ \ \ 1.0\ \ \ 0.5\ \ \ 0.2\\ 0.2\ \ \ 0.5\ \ \ 0.5\ \ \ 0.5\ \ \ 0.2\\ 0.2\ \ \ 0.2\ \ \ 0.2\ \ \ 0.2\ \ \ 0.2\\$ Write a program that computes the light intensity of each tile.
Suggestion: you can implement the matrix that represents the room as a list of lists [[v00, v01, v02],[v10, v11, v12], [v20,v21, v22]] or as a dictionary of keys {(0,0): v00, (0,1): v01 ... }. Try both solutions.
Example (N = 7):
Spotlight file:
7
0 0
2 3
4 3
Output:
1.0 0.7 0.4 0.2 0.2 0.2 0.0
0.5 0.7 0.7 0.5 0.5 0.2 0.0
0.2 0.6 0.9 1.2 0.7 0.4 0.0
0.0 0.4 1.0 1.0 1.0 0.4 0.0
0.0 0.4 0.7 1.2 0.7 0.4 0.0
0.0 0.2 0.5 0.5 0.5 0.2 0.0
0.0 0.2 0.2 0.2 0.2 0.2 0.0