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from typing import Self
from hashlib import md5
ADJ = [(x, y) for x in range(-1, 2) for y in range(-1, 2) if x != 0 or y != 0]
ORTH = [dir for dir in ADJ if dir[0] == 0 or dir[1] == 0]
VALID_LABEL = set("abcdefghijklmnopqrstuv.")
VALID_LOCK = set("0123.")
VALID_ANSWER = set("0123")
def value(grid, x: int, y: int) -> int | None:
side_length = int(len(grid) ** 0.5)
if not 0 <= x < side_length:
return None
if not 0 <= y < side_length:
return None
return grid[y * side_length + x]
def adj(grid, x: int, y: int, orth=False, center=False) -> list[int]:
base = [value(grid, x + dx, y + dy) for dx, dy in (ORTH if orth else ADJ)]
if center:
base.append(value(grid, x, y))
return [v for v in base if v is not None]
def across(grid, x: int, y: int) -> bool:
side_length = int(len(grid) ** 0.5)
cell = value(grid, x, y)
for nx in range(0, side_length):
if value(grid, nx, y) != cell:
break
else:
return True
for ny in range(0, side_length):
if value(grid, x, ny) != cell:
break
else:
return True
return False
class Shape:
def __init__(self, grid, x: int, y: int) -> None:
self.value = value(grid, x, y)
proc = [(x, y)]
seen = set(proc)
while proc:
x, y = proc.pop()
for dx, dy in ORTH:
possible = (x + dx, y + dy)
if value(grid, possible[0], possible[1]) == self.value:
if possible not in seen:
seen.add(possible)
proc.append(possible)
self.size = len(seen)
left = min([pt[0] for pt in seen])
right = max([pt[0] for pt in seen])
top = min([pt[1] for pt in seen])
bottom = max([pt[1] for pt in seen])
output = []
for y in range(top, bottom + 1):
row = []
for x in range(left, right + 1):
row.append("X" if (x, y) in seen else ".")
output.append("".join(row))
self.shape = "\n".join(output)
self.points = seen
class Captcha:
def __init__(self, size: int) -> None:
tile_count = size**2
self.size = size
self.label: list[str | None] = [None] * tile_count
self.lock: list[int | None] = [None] * tile_count
self.reload = False
def __members(self) -> tuple[int, list[str | None], list[int | None]]:
return (self.size, self.label, self.lock)
def __eq__(self, other) -> bool:
if not isinstance(other, Captcha):
return False
return self.__members() == other.__members()
def __hash__(self) -> int:
return hash(self.__members())
@classmethod
def from_string(
cls, size: int, label: str, lock: str, reload: bool = False
) -> Self:
result = cls(size)
result.label = [char if char != "." else None for char in label]
result.lock = [int(char) if char != "." else None for char in lock]
result.reload = reload
result.recalc_id()
return result
def make_label(self) -> str:
return "".join(char if char else "." for char in self.label)
def make_lock(self) -> str:
return "".join(str(char) if char is not None else "." for char in self.lock)
def recalc_id(self) -> None:
self.id = md5(
(self.make_label() + self.make_lock()).encode("utf-8")
).hexdigest()
def validate(self, answer_string: str) -> bool:
# Ensure answer is of right length
answer = [int(char) for char in answer_string]
if len(answer) != len(self.label):
return False
# Ensure lock is correct
for ans, lk in zip(answer, self.lock):
if lk is not None:
if ans != lk:
return False
# Ensure label is correct
color_match = None
shape_match_m = None
shape_match_n = None
for x in range(0, self.size):
for y in range(0, self.size):
match value(self.label, x, y):
case "a":
if Shape(answer, x, y).size != 1:
return False
case "b":
if Shape(answer, x, y).size != 2:
return False
case "c":
if Shape(answer, x, y).size != 3:
return False
case "d":
if Shape(answer, x, y).size != 4:
return False
case "e":
near = adj(answer, x, y, True, False)
if len(near) != len(set(near)):
return False
case "l":
if not across(answer, x, y):
return False
case "m":
shape = Shape(answer, x, y)
if shape_match_m:
if shape_match_m != shape.shape:
return False
else:
shape_match_m = shape.shape
if shape_match_m == shape_match_n:
return False
case "n":
shape = Shape(answer, x, y)
if shape_match_n:
if shape_match_n != shape.shape:
return False
else:
shape_match_n = shape.shape
if shape_match_m == shape_match_n:
return False
case "r":
color = value(answer, x, y)
if color_match:
if color_match != color:
return False
else:
color_match = color
case "v":
if len(set(adj(answer, x, y, True, True))) != 1:
return False
case _:
pass
return True
@classmethod
def safe_validate(
cls, size: str, label: str, lock: str, answer: str
) -> Captcha | None:
try:
int_size = int(size)
except ValueError:
return None
tile_count = int_size**2
if (
len(label) != tile_count
or len(lock) != tile_count
or len(answer) != tile_count
or any(char not in VALID_LABEL for char in label)
or any(char not in VALID_LOCK for char in lock)
or any(char not in VALID_ANSWER for char in answer)
):
return None
captcha = Captcha.from_string(int_size, label, lock)
if captcha.validate(answer):
return captcha
return None
if __name__ == "__main__":
test = Captcha.from_string(
5, "m...cena....m...ebneb.clm", "........................."
)
print(test.validate("0111001010203101231212212"))
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