Bruno BELANYI
acfc841539
This is mostly about unused imports. A couple errors remain, but are fine in my book (using `l` as a variable name, assigning a lambda to a variable).
174 lines
5.5 KiB
Python
Executable file
174 lines
5.5 KiB
Python
Executable file
#!/usr/bin/env python
|
|
|
|
import functools
|
|
import itertools
|
|
import sys
|
|
from typing import List, NamedTuple, Optional, Set, Tuple
|
|
|
|
|
|
class Point(NamedTuple):
|
|
x: int
|
|
y: int
|
|
z: int
|
|
|
|
|
|
class Cuboid(NamedTuple):
|
|
min: Point
|
|
max: Point
|
|
|
|
|
|
class Step(NamedTuple):
|
|
state: bool
|
|
bounds: Cuboid
|
|
|
|
|
|
Grid = Set[Cuboid]
|
|
|
|
MAX_BOUND = 10000000000000000000000000000000000000000000 # Just a very large integer
|
|
MIN_BOUND = -MAX_BOUND
|
|
|
|
|
|
def solve(input: List[str]) -> int:
|
|
def parse() -> List[Step]:
|
|
def parse_step(line: str) -> Step:
|
|
state, cuboid = line.split(" ")
|
|
|
|
xs, ys, zs = cuboid.split(",")
|
|
|
|
min_x, max_x = map(int, xs[2:].split(".."))
|
|
min_y, max_y = map(int, ys[2:].split(".."))
|
|
min_z, max_z = map(int, zs[2:].split(".."))
|
|
|
|
# Sanity check
|
|
assert min_x <= max_x
|
|
assert min_y <= max_y
|
|
assert min_z <= max_z
|
|
|
|
bounds = Cuboid(Point(min_x, min_y, min_z), Point(max_x, max_y, max_z))
|
|
|
|
return Step(state == "on", bounds)
|
|
|
|
return [parse_step(line) for line in input]
|
|
|
|
def overlapping_range(
|
|
min_a: int, max_a: int, min_b: int, max_b: int
|
|
) -> Optional[Tuple[int, int]]:
|
|
if max_a < min_b or min_a > max_b:
|
|
return None
|
|
return max(min_a, min_b), min(max_a, max_b)
|
|
|
|
def overlapping_cube(cube: Cuboid, other: Cuboid) -> Optional[Cuboid]:
|
|
xs = overlapping_range(cube.min.x, cube.max.x, other.min.x, other.max.x)
|
|
ys = overlapping_range(cube.min.y, cube.max.y, other.min.y, other.max.y)
|
|
zs = overlapping_range(cube.min.z, cube.max.z, other.min.z, other.max.z)
|
|
|
|
if xs is None or ys is None or zs is None:
|
|
return None
|
|
return Cuboid(Point(xs[0], ys[0], zs[0]), Point(xs[1], ys[1], zs[1]))
|
|
|
|
def overlaps(cube: Cuboid, other: Cuboid) -> bool:
|
|
return overlapping_cube(cube, other) is not None
|
|
|
|
def carve_out(grid: Grid, hole: Cuboid) -> Grid:
|
|
from itertools import filterfalse
|
|
|
|
def do_carve(c: Cuboid) -> Set[Cuboid]:
|
|
cubes: Set[Cuboid] = set()
|
|
|
|
min, max = c
|
|
|
|
rightside = overlapping_range(hole.max.x + 1, MAX_BOUND, min.x, max.x)
|
|
leftside = overlapping_range(MIN_BOUND, hole.min.x - 1, min.x, max.x)
|
|
xs = overlapping_range(hole.min.x, hole.max.x, min.x, max.x)
|
|
if rightside is not None:
|
|
min_r, max_r = rightside
|
|
cubes.add(
|
|
Cuboid(Point(min_r, min.y, min.z), Point(max_r, max.y, max.z))
|
|
)
|
|
if leftside is not None:
|
|
min_l, max_l = leftside
|
|
cubes.add(
|
|
Cuboid(Point(min_l, min.y, min.z), Point(max_l, max.y, max.z))
|
|
)
|
|
|
|
backside = overlapping_range(hole.max.y + 1, MAX_BOUND, min.y, max.y)
|
|
frontside = overlapping_range(MIN_BOUND, hole.min.y - 1, min.y, max.y)
|
|
ys = overlapping_range(hole.min.y, hole.max.y, min.y, max.y)
|
|
if backside is not None and xs is not None:
|
|
min_x, max_x = xs
|
|
min_b, max_b = backside
|
|
cubes.add(
|
|
Cuboid(Point(min_x, min_b, min.z), Point(max_x, max_b, max.z))
|
|
)
|
|
if frontside is not None and xs is not None:
|
|
min_x, max_x = xs
|
|
min_f, max_f = frontside
|
|
cubes.add(
|
|
Cuboid(Point(min_x, min_f, min.z), Point(max_x, max_f, max.z))
|
|
)
|
|
|
|
topside = overlapping_range(hole.max.z + 1, MAX_BOUND, min.z, max.z)
|
|
bottomside = overlapping_range(MIN_BOUND, hole.min.z - 1, min.z, max.z)
|
|
if topside is not None and xs is not None and ys is not None:
|
|
min_x, max_x = xs
|
|
min_y, max_y = ys
|
|
min_t, max_t = topside
|
|
cubes.add(
|
|
Cuboid(Point(min_x, min_y, min_t), Point(max_x, max_y, max_t))
|
|
)
|
|
if bottomside is not None and xs is not None and ys is not None:
|
|
min_x, max_x = xs
|
|
min_y, max_y = ys
|
|
min_b, max_b = bottomside
|
|
cubes.add(
|
|
Cuboid(Point(min_x, min_y, min_b), Point(max_x, max_y, max_b))
|
|
)
|
|
|
|
return cubes
|
|
|
|
overlaps_us = lambda c: overlaps(c, hole)
|
|
|
|
of_interest, other = filter(overlaps_us, grid), filterfalse(overlaps_us, grid)
|
|
|
|
return set(other) | set(
|
|
itertools.chain.from_iterable(do_carve(c) for c in of_interest)
|
|
)
|
|
|
|
def apply(grid: Grid, step: Step) -> Grid:
|
|
cuboid = step.bounds
|
|
|
|
# Remove that cube from the grid, potentially splitting cubes that overlap
|
|
grid = carve_out(grid, cuboid)
|
|
|
|
# Add it back in if we want to turn on those cubes
|
|
if step.state:
|
|
grid.add(cuboid)
|
|
|
|
return grid
|
|
|
|
def count_cubes(c: Cuboid) -> int:
|
|
min, max = c
|
|
return (max.x + 1 - min.x) * (max.y + 1 - min.y) * (max.z + 1 - min.z)
|
|
|
|
def score(grid: Grid) -> int:
|
|
area_of_interest = Cuboid(Point(-50, -50, -50), Point(50, 50, 50))
|
|
of_interest = {
|
|
cube
|
|
for cube in map(lambda c: overlapping_cube(c, area_of_interest), grid)
|
|
if cube is not None
|
|
}
|
|
return sum(map(count_cubes, of_interest))
|
|
|
|
steps = parse()
|
|
grid: Grid = functools.reduce(apply, steps, set())
|
|
return score(grid)
|
|
|
|
|
|
def main() -> None:
|
|
input = [line.strip() for line in sys.stdin.readlines()]
|
|
print(solve(input))
|
|
|
|
|
|
if __name__ == "__main__":
|
|
main()
|