Getting closer
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parent
6dc6b121ee
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58625701e2
GPG key ID:
5B2020A0F9921EF4
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@ -20,8 +20,14 @@ proc apply(a: Vec3, b: Vec3, f: (int, int) -> int): Vec3 = (x: f(a.x, b.x), y: f
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proc `+`(a: Vec3, b: Vec3): Vec3 = a.apply(b, (a, b) => a + b)
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proc `-`(a: Vec3, b: Vec3): Vec3 = a.apply(b, (a, b) => a - b)
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proc `*`(a: Vec3, b: Vec3): Vec3 = a.apply(b, (a, b) => a * b)
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proc volume(a: Vec3): uint64 = a.x.abs.uint64 * a.y.abs.uint64 * a.z.abs.uint64
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proc volume(c: CuboidGeometry): uint64 =
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for cb in c: result += cb.size.volume
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proc min(a: Vec3, b: Vec3): Vec3 = a.apply(b, (a, b) => min(a, b))
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proc max(a: Vec3, b: Vec3): Vec3 = a.apply(b, (a, b) => max(a, b))
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proc v3(x: int, y: int, z: int): Vec3 = (x: x, y: y, z: z)
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proc cuboid(pos: Vec3, size: Vec3): Cuboid = (pos: pos, size: size)
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proc cuboid(x: int, y: int, z: int, w: int, d: int, h: int): Cuboid = cuboid(v3(x, y, z), v3(w, d, h))
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proc parseCuboidOperator(s: string): CuboidOperator =
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if s[1] == 'n': union else: difference
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@ -30,17 +36,17 @@ proc parse(s: string): Option[CuboidOperation] =
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if s =~ parser:
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let
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n = matches[1..6].map parseInt
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pos = (x: min(n[0], n[1]), y: min(n[2], n[3]), z: min(n[4], n[5]))
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size = (x: max(n[0], n[1]), y: max(n[2], n[3]), z: max(n[4], n[5])) - pos
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pos = v3(min(n[0], n[1]), min(n[2], n[3]), min(n[4], n[5]))
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size = v3(max(n[0], n[1]) + 1, max(n[2], n[3]) + 1, max(n[4], n[5]) + 1) - pos
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result = some (matches[0].parseCuboidOperator, (pos, size))
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proc vertices(c: Cuboid): array[6, Vec3] =
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result[0] = c.pos
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result[1] = c.pos + (c.size * (x: 1, y: 0, z: 0))
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result[2] = c.pos + (c.size * (x: 0, y: 1, z: 0))
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result[3] = c.pos + (c.size * (x: 0, y: 0, z: 1))
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result[4] = c.pos + (c.size * (x: 1, y: 1, z: 0))
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result[5] = c.pos + (c.size * (x: 1, y: 1, z: 1))
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result[1] = c.pos + (c.size * v3(1, 0, 0))
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result[2] = c.pos + (c.size * v3(0, 1, 0))
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result[3] = c.pos + (c.size * v3(0, 0, 1))
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result[4] = c.pos + (c.size * v3(1, 1, 0))
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result[5] = c.pos + (c.size * v3(1, 1, 1))
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proc contains(a: Cuboid, b: Vec3): bool =
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b.x >= a.pos.x and b.x <= (a.pos.x + a.size.x) and
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@ -48,66 +54,111 @@ proc contains(a: Cuboid, b: Vec3): bool =
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b.z >= a.pos.z and b.z <= (a.pos.z + a.size.z)
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proc contains(a: Cuboid, b: Cuboid): bool = b.vertices.allIt a.contains it
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proc intersects(a: Cuboid, b: Cuboid): bool = a.vertices.anyIt b.contains it
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proc split(a: Cuboid, b:Cuboid): array[0..26, Cuboid] =
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# find segments along each axis as subdivision points
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let minpos = min(a.pos, b.pos)
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let maxpos = max(a.pos, b.pos)
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proc intersect(a: Cuboid, b: Cuboid): Option[Cuboid] =
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let amx = a.pos + a.size
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let bmx = b.pos + b.size
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if amx.x < b.pos.x or bmx.x < a.pos.x or
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amx.y < b.pos.y or bmx.y < a.pos.y or
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amx.z < b.pos.z or bmx.z < a.pos.z:
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return none Cuboid
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let pos = max(a.pos, b.pos)
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some (pos: pos, size: min(amx, bmx) - pos)
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proc difference(a: Cuboid, b: Cuboid): HashSet[Cuboid] =
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let amx = a.pos + a.size
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let bmx = b.pos + b.size
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var xx = [(b.pos.x, b.size.x)].toSeq
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var yy = [(b.pos.y, b.size.y)].toSeq
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var zz = [(b.pos.z, b.size.z)].toSeq
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echo &"difference:\n ==> {a}\n ==> {b}\n -> {amx}, {bmx}"
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if a.pos.x < b.pos.x: xx.add (a.pos.x, b.pos.x - a.pos.x)
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if bmx.x < amx.x: xx.add (bmx.x, amx.x)
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if a.pos.y < b.pos.y: yy.add (a.pos.y, b.pos.y - a.pos.y)
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if bmx.y < amx.y: yy.add (bmx.y, amx.y)
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if a.pos.z < b.pos.z: zz.add (a.pos.z, b.pos.z - a.pos.z)
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if bmx.z < amx.z: zz.add (bmx.z, amx.z)
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echo &"xyz diff: {xx}, {yy}, {zz}"
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for xi in 0..<xx.len:
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for yi in 0..<yy.len:
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for zi in 0..<zz.len:
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result.incl (pos: (x: xx[xi][0], y: yy[yi][0], z: zz[zi][0]), size: (x: xx[xi][1], y: yy[yi][1], z: zz[zi][1]))
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proc `+=`(a: var CuboidGeometry, b: Cuboid) =
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var g = toHashSet([b])
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var toIncl = toHashSet([b])
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var toExcl = initHashSet[Cuboid]()
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for ac in a:
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block nextg:
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var nextG = g
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for gc in g:
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if ac.contains gc: break nextg
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elif gc.contains ac: toExcl.incl ac
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elif ac.intersects gc:
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# TODO: split and add to gc
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# TODO: remove this
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break nextg
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g = nextG
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a = (a - toExcl) + g
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var nextIncl = toIncl
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for nc in toIncl:
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if ac.contains nc:
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nextIncl.excl nc
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break
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elif nc.contains ac:
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toExcl.incl ac
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else:
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nextIncl.excl nc
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let intersect = ac.intersect nc
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echo &"intersect for union: {intersect}"
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if intersect.isSome: nextIncl.incl(intersect.get.difference(nc))
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toIncl = nextIncl
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a = (a - toExcl) + toIncl
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when not defined(release):
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block:
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let cv = proc (n: openArray[Cuboid]): uint64 =
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var s = toHashSet([n[0]])
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for i in 1..<n.len:
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s += n[i]
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result = s.volume
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echo &"cv test: {result}\n"
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assert [cuboid(0, 0, 0, 10, 10, 10), cuboid(-4, 5, 7, 4, 2, 2)].cv == 1016
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assert [cuboid(0, 0, 0, 1, 1, 1), cuboid(1, 0, 0, 1, 1, 1)].cv == 2
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assert [cuboid(0, 0, 0, 1, 1, 1), cuboid(1, 0, 0, 2, 2, 2)].cv == 9
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assert [cuboid(0, 0, 0, 10, 10, 10), cuboid(8, 8, 8, 5, 5, 5)].cv == 1000 - 8 + 125
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proc `-=`(a: var CuboidGeometry, b: Cuboid) =
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var g = toHashSet([b])
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var toIncl = toHashSet[Cuboid]([])
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var toDiff = toHashSet[Cuboid]([b])
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var toExcl = initHashSet[Cuboid]()
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echo &"diff b: {b}"
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for ac in a:
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block nextg:
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for gc in g:
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if gc.contains ac:
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toExcl.incl ac
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elif ac.contains gc:
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# TODO: split and add to ac
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break nextg
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elif ac.intersects gc:
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# TODO: split and add to ac, may not need to be separate from above
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break nextg
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a = (a - toExcl) + g
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for dc in toDiff:
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let intersect = ac.intersect dc
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echo &"intersect for diff: {intersect}"
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if intersect.isSome:
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toExcl.incl ac
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toIncl.incl(ac.difference(intersect.get))
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a = (a - toExcl) + toIncl
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proc p1(input: Lines): uint64 =
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let bounds = (pos: (x: -50, y: -50, z: -50), size: (x: 100, y: 100, z: 100))
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var onCuboids = initHashSet[Cuboid]()
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for l in input:
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echo l
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let cop = l.parse
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echo cop
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if cop.isNone: continue
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let (op, cuboid) = cop.get
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echo &"c: {op} {cuboid} ({cuboid.size.volume})"
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if not bounds.contains cuboid: continue
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echo " ==> DOING"
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case op:
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of union: onCuboids += cuboid
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of difference: onCuboids -= cuboid
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echo onCuboids
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for c in onCuboids: result += (c.size.x * c.size.y * c.size.z).uint64
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echo &"onCuboids: {onCuboids}"
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onCuboids.volume
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# TODO: sum volume of all cuboids in `onCuboids`
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proc p2(input: Lines): uint64 =
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0
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# const alt = ("""
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# on x=0..9,y=0..9,z=0..9
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# on x=-4..3,y=5..6,z=7..8
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# """.strip().split('\n'), 1016'u64, 0'u64)
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const alt = ("""
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on x=0..1,y=0..0,z=0..0
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off x=0..0,y=0..0,z=0..0
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""".strip().split('\n'), 1'u64, 0'u64)
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const input = """
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on x=-20..26,y=-36..17,z=-47..7
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on x=-20..33,y=-21..23,z=-26..28
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@ -132,4 +183,5 @@ on x=-41..9,y=-7..43,z=-33..15
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on x=-54112..-39298,y=-85059..-49293,z=-27449..7877
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on x=967..23432,y=45373..81175,z=27513..53682
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""".strip().split('\n')
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doDayX 22, (n: int) => n.loadInput, p1, p2, (input, 590784'u64, 0'u64)
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const rt = (input, 590784'u64, 0'u64)
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doDayX 22, (n: int) => n.loadInput, p1, p2, alt
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