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#!/usr/bin/env python
import enum
import sys
from typing import NamedTuple
class Point(NamedTuple):
x: int
y: int
class Direction(enum.StrEnum):
UP = "^"
RIGHT = ">"
DOWN = "v"
LEFT = "<"
def step(self, p: Point) -> Point:
dx: int
dy: int
match self:
case Direction.UP:
dx, dy = -1, 0
case Direction.RIGHT:
dx, dy = 0, 1
case Direction.DOWN:
dx, dy = 1, 0
case Direction.LEFT:
dx, dy = 0, -1
return Point(p.x + dx, p.y + dy)
def turn_right(self) -> "Direction":
match self:
case Direction.UP:
return Direction.RIGHT
case Direction.RIGHT:
return Direction.DOWN
case Direction.DOWN:
return Direction.LEFT
case Direction.LEFT:
return Direction.UP
class Guard(NamedTuple):
pos: Point
dir: Direction
def patrol_step(self, blockers: set[Point]) -> "Guard":
next_step = self.dir.step(self.pos)
if next_step not in blockers:
return Guard(next_step, self.dir)
return Guard(self.pos, self.dir.turn_right())
def solve(input: str) -> int:
def parse(input: list[str]) -> tuple[Guard, set[Point]]:
guard: Guard | None = None
blockers: set[Point] = set()
for x, line in enumerate(input):
for y, c in enumerate(line):
if c == ".":
continue
if c == "#":
blockers.add(Point(x, y))
continue
guard = Guard(Point(x, y), Direction(c))
assert guard is not None # Sanity check
return guard, blockers
def patrol(guard: Guard, blockers: set[Point], dims: Point) -> int:
max_x, max_y = dims
positions = {guard.pos}
while True:
if not (0 <= guard.pos.x < max_x):
break
if not (0 <= guard.pos.y < max_y):
break
positions.add(guard.pos)
guard = guard.patrol_step(blockers)
return len(positions)
lines = input.splitlines()
guard, blockers = parse(lines)
max_x, max_y = len(lines), len(lines[0])
return patrol(guard, blockers, Point(max_x, max_y))
def main() -> None:
input = sys.stdin.read()
print(solve(input))
if __name__ == "__main__":
main()

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#!/usr/bin/env python
import enum
import itertools
import sys
from typing import NamedTuple
class Point(NamedTuple):
x: int
y: int
class Direction(enum.StrEnum):
UP = "^"
RIGHT = ">"
DOWN = "v"
LEFT = "<"
def step(self, p: Point) -> Point:
dx: int
dy: int
match self:
case Direction.UP:
dx, dy = -1, 0
case Direction.RIGHT:
dx, dy = 0, 1
case Direction.DOWN:
dx, dy = 1, 0
case Direction.LEFT:
dx, dy = 0, -1
return Point(p.x + dx, p.y + dy)
def turn_right(self) -> "Direction":
match self:
case Direction.UP:
return Direction.RIGHT
case Direction.RIGHT:
return Direction.DOWN
case Direction.DOWN:
return Direction.LEFT
case Direction.LEFT:
return Direction.UP
class Guard(NamedTuple):
pos: Point
dir: Direction
def patrol_step(self, blockers: set[Point]) -> "Guard":
next_step = self.dir.step(self.pos)
if next_step not in blockers:
return Guard(next_step, self.dir)
return Guard(self.pos, self.dir.turn_right())
def solve(input: str) -> int:
def parse(input: list[str]) -> tuple[Guard, set[Point]]:
guard: Guard | None = None
blockers: set[Point] = set()
for x, line in enumerate(input):
for y, c in enumerate(line):
if c == ".":
continue
if c == "#":
blockers.add(Point(x, y))
continue
guard = Guard(Point(x, y), Direction(c))
assert guard is not None # Sanity check
return guard, blockers
def loops(guard: Guard, blockers: set[Point], dims: Point) -> int:
max_x, max_y = dims
visited: set[Guard] = set()
while True:
if not (0 <= guard.pos.x < max_x):
break
if not (0 <= guard.pos.y < max_y):
break
if guard in visited:
return True
visited.add(guard)
guard = guard.patrol_step(blockers)
return False
def count_obstructions(guard: Guard, blockers: set[Point], dims: Point) -> int:
res = 0
max_x, max_y = dims
for x, y in itertools.product(range(max_x), range(max_y)):
candidate = Point(x, y)
if candidate in blockers:
continue
if candidate == guard.pos:
continue
if not loops(guard, blockers | {candidate}, dims):
continue
res += 1
return res
lines = input.splitlines()
guard, blockers = parse(lines)
max_x, max_y = len(lines), len(lines[0])
return count_obstructions(guard, blockers, Point(max_x, max_y))
def main() -> None:
input = sys.stdin.read()
print(solve(input))
if __name__ == "__main__":
main()

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