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day22.py
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day22.py
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import re
from collections import namedtuple
SAMPLE_INPUT_1 = [
"on x=10..12,y=10..12,z=10..12",
"on x=11..13,y=11..13,z=11..13",
"off x=9..11,y=9..11,z=9..11",
"on x=10..10,y=10..10,z=10..10",
]
SAMPLE_INPUT_2 = [
"on x=-20..26,y=-36..17,z=-47..7",
"on x=-20..33,y=-21..23,z=-26..28",
"on x=-22..28,y=-29..23,z=-38..16",
"on x=-46..7,y=-6..46,z=-50..-1",
"on x=-49..1,y=-3..46,z=-24..28",
"on x=2..47,y=-22..22,z=-23..27",
"on x=-27..23,y=-28..26,z=-21..29",
"on x=-39..5,y=-6..47,z=-3..44",
"on x=-30..21,y=-8..43,z=-13..34",
"on x=-22..26,y=-27..20,z=-29..19",
"off x=-48..-32,y=26..41,z=-47..-37",
"on x=-12..35,y=6..50,z=-50..-2",
"off x=-48..-32,y=-32..-16,z=-15..-5",
"on x=-18..26,y=-33..15,z=-7..46",
"off x=-40..-22,y=-38..-28,z=23..41",
"on x=-16..35,y=-41..10,z=-47..6",
"off x=-32..-23,y=11..30,z=-14..3",
"on x=-49..-5,y=-3..45,z=-29..18",
"off x=18..30,y=-20..-8,z=-3..13",
"on x=-41..9,y=-7..43,z=-33..15",
"on x=-54112..-39298,y=-85059..-49293,z=-27449..7877",
"on x=967..23432,y=45373..81175,z=27513..53682",
]
SAMPLE_INPUT_3 = [
"on x=-5..47,y=-31..22,z=-19..33",
"on x=-44..5,y=-27..21,z=-14..35",
"on x=-49..-1,y=-11..42,z=-10..38",
"on x=-20..34,y=-40..6,z=-44..1",
"off x=26..39,y=40..50,z=-2..11",
"on x=-41..5,y=-41..6,z=-36..8",
"off x=-43..-33,y=-45..-28,z=7..25",
"on x=-33..15,y=-32..19,z=-34..11",
"off x=35..47,y=-46..-34,z=-11..5",
"on x=-14..36,y=-6..44,z=-16..29",
"on x=-57795..-6158,y=29564..72030,z=20435..90618",
"on x=36731..105352,y=-21140..28532,z=16094..90401",
"on x=30999..107136,y=-53464..15513,z=8553..71215",
"on x=13528..83982,y=-99403..-27377,z=-24141..23996",
"on x=-72682..-12347,y=18159..111354,z=7391..80950",
"on x=-1060..80757,y=-65301..-20884,z=-103788..-16709",
"on x=-83015..-9461,y=-72160..-8347,z=-81239..-26856",
"on x=-52752..22273,y=-49450..9096,z=54442..119054",
"on x=-29982..40483,y=-108474..-28371,z=-24328..38471",
"on x=-4958..62750,y=40422..118853,z=-7672..65583",
"on x=55694..108686,y=-43367..46958,z=-26781..48729",
"on x=-98497..-18186,y=-63569..3412,z=1232..88485",
"on x=-726..56291,y=-62629..13224,z=18033..85226",
"on x=-110886..-34664,y=-81338..-8658,z=8914..63723",
"on x=-55829..24974,y=-16897..54165,z=-121762..-28058",
"on x=-65152..-11147,y=22489..91432,z=-58782..1780",
"on x=-120100..-32970,y=-46592..27473,z=-11695..61039",
"on x=-18631..37533,y=-124565..-50804,z=-35667..28308",
"on x=-57817..18248,y=49321..117703,z=5745..55881",
"on x=14781..98692,y=-1341..70827,z=15753..70151",
"on x=-34419..55919,y=-19626..40991,z=39015..114138",
"on x=-60785..11593,y=-56135..2999,z=-95368..-26915",
"on x=-32178..58085,y=17647..101866,z=-91405..-8878",
"on x=-53655..12091,y=50097..105568,z=-75335..-4862",
"on x=-111166..-40997,y=-71714..2688,z=5609..50954",
"on x=-16602..70118,y=-98693..-44401,z=5197..76897",
"on x=16383..101554,y=4615..83635,z=-44907..18747",
"off x=-95822..-15171,y=-19987..48940,z=10804..104439",
"on x=-89813..-14614,y=16069..88491,z=-3297..45228",
"on x=41075..99376,y=-20427..49978,z=-52012..13762",
"on x=-21330..50085,y=-17944..62733,z=-112280..-30197",
"on x=-16478..35915,y=36008..118594,z=-7885..47086",
"off x=-98156..-27851,y=-49952..43171,z=-99005..-8456",
"off x=2032..69770,y=-71013..4824,z=7471..94418",
"on x=43670..120875,y=-42068..12382,z=-24787..38892",
"off x=37514..111226,y=-45862..25743,z=-16714..54663",
"off x=25699..97951,y=-30668..59918,z=-15349..69697",
"off x=-44271..17935,y=-9516..60759,z=49131..112598",
"on x=-61695..-5813,y=40978..94975,z=8655..80240",
"off x=-101086..-9439,y=-7088..67543,z=33935..83858",
"off x=18020..114017,y=-48931..32606,z=21474..89843",
"off x=-77139..10506,y=-89994..-18797,z=-80..59318",
"off x=8476..79288,y=-75520..11602,z=-96624..-24783",
"on x=-47488..-1262,y=24338..100707,z=16292..72967",
"off x=-84341..13987,y=2429..92914,z=-90671..-1318",
"off x=-37810..49457,y=-71013..-7894,z=-105357..-13188",
"off x=-27365..46395,y=31009..98017,z=15428..76570",
"off x=-70369..-16548,y=22648..78696,z=-1892..86821",
"on x=-53470..21291,y=-120233..-33476,z=-44150..38147",
"off x=-93533..-4276,y=-16170..68771,z=-104985..-24507",
]
class Cuboid(namedtuple("Cuboid", ("on", "x0", "x1", "y0", "y1", "z0", "z1"))):
def volume(self):
return (
(self.x1 - self.x0 + 1) * (self.y1 - self.y0 + 1) * (self.z1 - self.z0 + 1)
)
RE = re.compile(
r"(on|off) x=(-?\d+)\.\.(-?\d+),y=(-?\d+)\.\.(-?\d+),z=(-?\d+)\.\.(-?\d+)"
)
def parse(lines):
cuboids = []
for line in lines:
m = re.match(RE, line)
cuboids.append(
Cuboid(
m.group(1) == "on",
int(m.group(2)),
int(m.group(3)),
int(m.group(4)),
int(m.group(5)),
int(m.group(6)),
int(m.group(7)),
)
)
return cuboids
class Above:
def __init__(self, hi):
self.hi = hi
def __call__(self, u, v):
if v > self.hi:
return max(self.hi + 1, u), v
class Below:
def __init__(self, lo):
self.lo = lo
def __call__(self, u, v):
if u < self.lo:
return u, min(self.lo - 1, v)
class Clip:
def __init__(self, lo, hi):
self.lo = lo
self.hi = hi
def __call__(self, u, v):
if u <= self.hi and v >= self.lo:
return max(self.lo, u), min(self.hi, v)
def filter_map(cuboids, f, g, h):
for cuboid in cuboids:
x = f(cuboid.x0, cuboid.x1) if f else (cuboid.x0, cuboid.x1)
y = g(cuboid.y0, cuboid.y1) if g else (cuboid.y0, cuboid.y1)
z = h(cuboid.z0, cuboid.z1) if h else (cuboid.z0, cuboid.z1)
if x and y and z:
yield Cuboid(cuboid.on, x[0], x[1], y[0], y[1], z[0], z[1])
def solve(cuboids, on=True):
it = iter(cuboids)
for top in it:
if top.on == on:
break
else:
return 0
rest = list(it)
return (
top.volume()
- solve(
filter_map(
rest, Clip(top.x0, top.x1), Clip(top.y0, top.y1), Clip(top.z0, top.z1)
),
not on,
)
+ solve(filter_map(rest, None, None, Below(top.z0)), on)
+ solve(filter_map(rest, None, None, Above(top.z1)), on)
+ solve(filter_map(rest, None, Below(top.y0), Clip(top.z0, top.z1)), on)
+ solve(filter_map(rest, None, Above(top.y1), Clip(top.z0, top.z1)), on)
+ solve(
filter_map(rest, Below(top.x0), Clip(top.y0, top.y1), Clip(top.z0, top.z1)),
on,
)
+ solve(
filter_map(rest, Above(top.x1), Clip(top.y0, top.y1), Clip(top.z0, top.z1)),
on,
)
)
def part1(lines):
"""
>>> part1(SAMPLE_INPUT_1)
39
>>> part1(SAMPLE_INPUT_2)
590784
"""
return solve(
cuboid
for cuboid in parse(lines)
if -50 <= cuboid.x0 <= 50
and -50 <= cuboid.x1 <= 50
and -50 <= cuboid.y0 <= 50
and -50 <= cuboid.y1 <= 50
and -50 <= cuboid.z0 <= 50
and -50 <= cuboid.z1 <= 50
)
def part2(lines):
"""
>>> part2(SAMPLE_INPUT_1)
39
>>> part2(SAMPLE_INPUT_2)
39769202357779
>>> part2(SAMPLE_INPUT_3)
2758514936282235
"""
return solve(parse(lines))
parts = (part1, part2)