def caesar_generator(num, op):
"""Returns a one-argument Caesar cipher function. The function should "rotate" a
letter by an integer amount 'num' using an operation 'op' (either add or
sub).
You may use the provided `letter_to_num` and `num_to_letter` functions,
which will map all lowercase letters a-z to 0-25 and all uppercase letters
A-Z to 26-51.
>>> letter_to_num('a')
0
>>> letter_to_num('c')
2
>>> num_to_letter(3)
'd'
>>> caesar2 = caesar_generator(2, add)
>>> caesar2('a')
'c'
>>> brutus3 = caesar_generator(3, sub)
>>> brutus3('d')
'a'
"""
"*** YOUR CODE HERE ***"
return lambda x: num_to_letter(op(letter_to_num(x), num))
def caesar_generator(num, op):
"""Returns a one-argument Caesar cipher function. The function should "rotate" a
letter by an integer amount 'num' using an operation 'op' (either add or
sub).
You may use the provided `letter_to_num` and `num_to_letter` functions,
which will map all lowercase letters a-z to 0-25 and all uppercase letters
A-Z to 26-51.
>>> letter_to_num('a')
0
>>> letter_to_num('c')
2
>>> num_to_letter(3)
'd'
>>> caesar2 = caesar_generator(2, add)
>>> caesar2('a')
'c'
>>> brutus3 = caesar_generator(3, sub)
>>> brutus3('d')
'a'
"""
"*** YOUR CODE HERE ***"
return lambda x: num_to_letter(op(letter_to_num(x), num))
def solve(self):
"""Solving logic for the board
The solver repeats the following steps until no more changes can be made
- use letter_mask to find where remaining letters can be placed to maintain links from word_list
- find either:
a) tiles where only one of the remaining letters can go, or
b) letters that can only go in one of the remaining tiles
- for any newly solved tiles, use the tile_mask so no other letters can be placed there, and that letter
cannot be placed in any other tile
This method does not return anything - solution is stored as a 2D character array in self.solution"""
connections = get_connections(self.word_list)
# solved_letters stores only the letter value i
# new_solved_letters stores (x, y, i) values
solved_letters = {letter[2] for letter in self.start_letters}
new_solved_letters = self.start_letters
# main solving loop - repeat until each tile has exactly 1 letter
while np.count_nonzero(self.tiles) > len(lowercase_letters):
# create a copy of self.tiles
old_tiles = self.tiles.copy()
# given the newly added letters, use masks to find where new letters can be placed
if new_solved_letters:
for x, y, i in new_solved_letters:
for j in connections[i]:
mask = self.create_letter_mask(x, y, j)
self.tiles = np.logical_and(self.tiles, mask)
# if no new letters were added last iteration, instead find where other letters may go
else:
for i in range(len(lowercase_letters)):
if i not in solved_letters:
coords = np.argwhere(self.tiles[:, :, i])
for j in connections[i]:
mask = self.create_letter_probability_mask(
coords, j)
self.tiles = np.logical_and(self.tiles, mask)
# check if any tiles can now be solved
new_solved_letters = set()
for x, y, i in self.check_letters_solved(
) + self.check_tiles_solved():
if i not in solved_letters:
self.solve_tile(x, y, i)
new_solved_letters.add((x, y, i))
solved_letters.add(i)
# if no changes have been made to the array, then the solver must be stuck
if np.all(old_tiles == self.tiles):
raise RuntimeError(
"This grid cannot be solved by this program")
num_array = np.sum(self.tiles * np.arange(25), axis=2)
solution = np.empty_like(num_array, dtype=str)
for (y, x), i in np.ndenumerate(num_array):
solution[y, x] = num_to_letter(i)
self.solution = solution
def caesar(x):
return num_to_letter(op(letter_to_num(x), num))
def caesar(x):
return num_to_letter(op(letter_to_num(x), num))
def inner(letter):
return num_to_letter(op(letter_to_num(letter), num))
def solve_tile(self, x, y, i):
"""Show that a single tile is solved by applying the mask"""
mask = self.create_tile_mask(x, y, i)
self.tiles = np.logical_and(self.tiles, mask)
self.solution[y, x] = num_to_letter(i)