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#!/usr/bin/env python
import enum
import heapq
import sys
from typing import Iterator, NamedTuple
class Point(NamedTuple):
x: int
y: int
class ParsedMaze(NamedTuple):
start: Point
end: Point
blocks: set[Point]
class Direction(enum.IntEnum):
EAST = enum.auto()
WEST = enum.auto()
NORTH = enum.auto()
SOUTH = enum.auto()
def rotations(self) -> tuple["Direction", "Direction"]:
match self:
case Direction.EAST | Direction.WEST:
return (Direction.NORTH, Direction.SOUTH)
case Direction.NORTH | Direction.SOUTH:
return (Direction.EAST, Direction.WEST)
def step(self, p: Point) -> Point:
dx: int
dy: int
match self:
case Direction.EAST:
dx, dy = 0, 1
case Direction.WEST:
dx, dy = 0, -1
case Direction.NORTH:
dx, dy = -1, 0
case Direction.SOUTH:
dx, dy = 1, 0
return Point(p.x + dx, p.y + dy)
Node = tuple[Point, Direction]
def solve(input: str) -> int:
def parse(input: list[str]) -> ParsedMaze:
start: Point | None = None
end: Point | None = None
blocks: set[Point] = set()
for x, line in enumerate(input):
for y, c in enumerate(line):
if c == ".":
continue
p = Point(x, y)
if c == "S":
start = p
elif c == "E":
end = p
elif c == "#":
blocks.add(p)
else:
assert False # Sanity check
assert start is not None # Sanity check
assert end is not None # Sanity check
return ParsedMaze(start, end, blocks)
def djikstra(start: Point, end: Point, blocks: set[Point]) -> int:
def next_moves(
pos: Point,
dir: Direction,
) -> Iterator[tuple[int, Point, Direction]]:
transitions = [(1, dir.step(pos), dir)]
for new_dir in dir.rotations():
transitions.append((1000, pos, new_dir))
for cost, pos, dir in transitions:
if pos in blocks:
continue
yield cost, pos, dir
# Priority queue of (distance, point, direction)
queue = [(0, start, Direction.EAST)]
seen: set[Node] = set()
while len(queue) > 0:
cost, p, dir = heapq.heappop(queue)
if p == end:
return cost
# We must have seen (p, dir) with a smaller distance before
if (p, dir) in seen:
continue
# First time encountering (p, dir), must be the smallest distance to it
seen.add((p, dir))
# Add all neighbours to be visited
for n_cost, n, n_dir in next_moves(p, dir):
heapq.heappush(queue, (cost + n_cost, n, n_dir))
assert False # Sanity check
start, end, blocks = parse(input.splitlines())
return djikstra(start, end, blocks)
def main() -> None:
input = sys.stdin.read()
print(solve(input))
if __name__ == "__main__":
main()

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@ -1,148 +0,0 @@
#!/usr/bin/env python
import enum
import heapq
import sys
from collections import defaultdict
from typing import Iterator, NamedTuple
class Point(NamedTuple):
x: int
y: int
class ParsedMaze(NamedTuple):
start: Point
end: Point
blocks: set[Point]
class Direction(enum.IntEnum):
EAST = enum.auto()
WEST = enum.auto()
NORTH = enum.auto()
SOUTH = enum.auto()
def rotations(self) -> tuple["Direction", "Direction"]:
match self:
case Direction.EAST | Direction.WEST:
return (Direction.NORTH, Direction.SOUTH)
case Direction.NORTH | Direction.SOUTH:
return (Direction.EAST, Direction.WEST)
def step(self, p: Point) -> Point:
dx: int
dy: int
match self:
case Direction.EAST:
dx, dy = 0, 1
case Direction.WEST:
dx, dy = 0, -1
case Direction.NORTH:
dx, dy = -1, 0
case Direction.SOUTH:
dx, dy = 1, 0
return Point(p.x + dx, p.y + dy)
Node = tuple[Point, Direction]
def solve(input: str) -> int:
def parse(input: list[str]) -> ParsedMaze:
start: Point | None = None
end: Point | None = None
blocks: set[Point] = set()
for x, line in enumerate(input):
for y, c in enumerate(line):
if c == ".":
continue
p = Point(x, y)
if c == "S":
start = p
elif c == "E":
end = p
elif c == "#":
blocks.add(p)
else:
assert False # Sanity check
assert start is not None # Sanity check
assert end is not None # Sanity check
return ParsedMaze(start, end, blocks)
def count_path_cells(start: Point, end: Point, blocks: set[Point]) -> int:
def next_moves(
pos: Point,
dir: Direction,
) -> Iterator[tuple[int, Point, Direction]]:
transitions = [(1, dir.step(pos), dir)]
for new_dir in dir.rotations():
transitions.append((1000, pos, new_dir))
for cost, pos, dir in transitions:
if pos in blocks:
continue
yield cost, pos, dir
def get_all_predecessors(
predecessors: dict[Node, set[Node]],
) -> set[Point]:
queue = {(end, dir) for dir in Direction}
visited: set[Node] = set()
while queue:
cur = queue.pop()
visited.add(cur)
for pred in predecessors[cur]:
if pred in visited:
continue
queue.add(pred)
return set(p for p, _ in visited)
# Priority queue of (distance, point)
queue = [(0, start, Direction.EAST)]
seen: set[Node] = set()
predecessors: dict[Node, set[Node]] = defaultdict(set)
predecessor_cost: dict[Node, int] = {}
# Use an invalid maximum cost to simplify the loop
max_cost: int = -1
while len(queue) > 0:
cost, p, dir = heapq.heappop(queue)
# Did we go past the optimal cost, if so stop the loop
if max_cost > 0 and cost > max_cost:
break
# Otherwise, record the minimum cost
if p == end:
max_cost = cost
# We must have seen (p, dir) with a smaller distance before
if (p, dir) in seen:
continue
# First time encountering (p, dir), must be the smallest distance to it
seen.add((p, dir))
# Add all neighbours to be visited
for n_cost, n, n_dir in next_moves(p, dir):
n_cost += cost
# Record predecessors
if predecessor_cost.setdefault((n, n_dir), n_cost) > n_cost:
predecessor_cost[(n, n_dir)] = n_cost
predecessors[(n, n_dir)] = {(p, dir)}
elif predecessor_cost[(n, n_dir)] == n_cost:
predecessors[(n, n_dir)].add((p, dir))
heapq.heappush(queue, (n_cost, n, n_dir))
# Run back up the tree of predecessors to count all cells
return len(get_all_predecessors(predecessors))
start, end, blocks = parse(input.splitlines())
return count_path_cells(start, end, blocks)
def main() -> None:
input = sys.stdin.read()
print(solve(input))
if __name__ == "__main__":
main()

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@ -1,141 +0,0 @@
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