Finally day22 done
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58625701e2
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GPG Key ID:
5B2020A0F9921EF4
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@ -1,14 +1,10 @@
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import ./common, std/[sequtils, algorithm, sugar, sets, strformat, strutils, tables, options, json, hashes, random, pegs]
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const BOARD_POSITIONS = 10
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type
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Vec3 = tuple[x: int, y: int, z: int]
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Cuboid = tuple[pos: Vec3, size: Vec3]
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CuboidGeometry = HashSet[Cuboid]
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Cuboid = (int, int, int, int, int, int)
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CuboidOperator = enum union, difference
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CuboidOperation = (CuboidOperator, Cuboid)
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CuboidOperations = HashSet[CuboidOperation]
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let parser = peg"""
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grammar <- {'on' / 'off'} ' x=' range ',y=' range ',z=' range
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@ -16,151 +12,72 @@ range <- {num} \. \. {num}
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num <- ('-' \d+) / \d+
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"""
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proc apply(a: Vec3, b: Vec3, f: (int, int) -> int): Vec3 = (x: f(a.x, b.x), y: f(a.y, b.y), z: f(a.z, b.z))
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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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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 = 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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let n: seq[int] = matches[1..6].map(parseInt)
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return some (matches[0].parseCuboidOperator, (n[0], n[1], n[2], n[3], n[4], n[5]))
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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 * 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 asOps(l: Lines): seq[CuboidOperation] =
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for s in l:
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let cop = s.parse
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if cop.isNone: continue
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result.add cop.get
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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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b.y >= a.pos.y and b.y <= (a.pos.y + a.size.y) and
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b.z >= a.pos.z and b.z <= (a.pos.z + a.size.z)
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proc intersection(n: Cuboid, p: Cuboid): Option[Cuboid] =
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let (nx1, nx2, ny1, ny2, nz1, nz2) = n
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let (px1, px2, py1, py2, pz1, pz2) = p
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if nx1 <= px2 and px1 <= nx2 and ny1 <= py2 and py1 <= ny2 and nz1 <= pz2 and pz1 <= nz2:
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return some (max(px1, nx1), min(px2, nx2), max(py1, ny1), min(py2, ny2), max(pz1, nz1), min(pz2, nz2))
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proc contains(a: Cuboid, b: Cuboid): bool = b.vertices.allIt a.contains it
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proc merge(pastOps: var CuboidOperations, newOp: CuboidOperation) =
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var toIncl = initHashSet[CuboidOperation]()
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var toExcl = initHashSet[CuboidOperation]()
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var included = false
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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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for pastOp in pastOps:
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let (pastOpType, pastCuboid) = pastOp
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let intersect = pastCuboid.intersection newOp[1]
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if intersect.isNone: continue
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included = true
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toExcl.incl pastOp
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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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let (px1, px2, py1, py2, pz1, pz2) = pastCuboid
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let (ix1, ix2, iy1, iy2, iz1, iz2) = intersect.get
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let (nx1, nx2, ny1, ny2, nz1, nz2) = newOp[1]
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proc `+=`(a: var CuboidGeometry, b: Cuboid) =
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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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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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if px1 < ix1: toIncl.incl (pastOpType, (px1, ix1 - 1, py1, py2, pz1, pz2))
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if ix2 < px2: toIncl.incl (pastOpType, (ix2 + 1, px2, py1, py2, pz1, pz2))
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if py1 < iy1: toIncl.incl (pastOpType, (ix1, ix2, py1, iy1 - 1, pz1, pz2))
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if iy2 < py2: toIncl.incl (pastOpType, (ix1, ix2, iy2 + 1, py2, pz1, pz2))
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if pz1 < iz1: toIncl.incl (pastOpType, (ix1, ix2, iy1, iy2, pz1, iz1 - 1))
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if iz2 < pz2: toIncl.incl (pastOpType, (ix1, ix2, iy1, iy2, iz2 + 1, pz2))
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toIncl.incl (newOp[0], (min(ix1, nx1), max(ix2, nx2), min(iy1, ny1), max(iy2, ny2), min(iz1, nz1), max(iz2, nz2)))
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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 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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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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pastOps.excl toExcl
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pastOps.incl toIncl
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if not included: pastOps.incl(newOp)
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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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let cop = l.parse
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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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case op:
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of union: onCuboids += cuboid
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of difference: onCuboids -= cuboid
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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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var ops = initHashSet[CuboidOperation]()
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for op in input.asOps:
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let (_, c) = op
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if [c[0], c[1], c[2], c[3], c[4], c[5]].anyIt((it < -50) or (it > 50)): continue
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ops.merge op
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for op in ops:
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let (t, c) = op
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if t == union:
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let (x1, x2, y1, y2, z1, z2) = c
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result += (abs(x2 - x1 + 1) * abs(y2 - y1 + 1) * abs(z2 - z1 + 1)).uint64
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proc p2(input: Lines): uint64 =
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echo "p2"
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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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const rt = ("""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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on x=-22..28,y=-29..23,z=-38..16
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on x=-46..7,y=-6..46,z=-50..-1
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@ -181,7 +98,5 @@ on x=-49..-5,y=-3..45,z=-29..18
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off x=18..30,y=-20..-8,z=-3..13
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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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const rt = (input, 590784'u64, 0'u64)
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doDayX 22, (n: int) => n.loadInput, p1, p2, alt
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on x=967..23432,y=45373..81175,z=27513..53682""".split('\n'), 590784'u64, 0'u64)
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doDayX 22, (n: int) => n.loadInput, p1, p2, rt
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