Output

Randomly generates a grid with Us and Is, whose dimension 1s controlled by user Input, # as well as the density of 1s in the grid, and finds out, for a given direction being # one of N, E, S or W (for North, East, South or West) and for a given size greater than 1, # the number of triangles pointing in that direction, and of that size. #Triangles pointing North #-of size 2 #111 #?of size 3: #Triangles pointing East #_of size 2 #11 #-of size 3 #11 #111 #11 # Triangles pointing South #-of size 2 #111 #_of size 3: # Triangles pointing West #-of size 2: #11 # -of size 3: #111 # The output lists, for every direction and for every size, the number of triangles # pointing in that direction and of that size, provided there is at least one such triangle. # For a given direction, the possble sizes are listed from largest to smallest. # We do not count triangles that are truncations of larger triangles, that is, obtained # from the latter by ignoring at least one layer, starting from the base. Randomly generates a grid with Us and Is, whose dimension 1s controlled by user Input, # as well as the density of 1s in the grid, and finds out, for a given direction being # one of N, E, S or W (for North, East, South or West) and for a given size greater than 1, # the number of triangles pointing in that direction, and of that size. #Triangles pointing North #-of size 2 #111 #?of size 3: #Triangles pointing East #_of size 2 #11 #-of size 3 #11 #111 #11 # Triangles pointing South #-of size 2 #111 #_of size 3: # Triangles pointing West #-of size 2: #11 # -of size 3: #111 # The output lists, for every direction and for every size, the number of triangles # pointing in that direction and of that size, provided there is at least one such triangle. # For a given direction, the possble sizes are listed from largest to smallest. # We do not count triangles that are truncations of larger triangles, that is, obtained # from the latter by ignoring at least one layer, starting from the base