1105 lines
30 KiB
Swift
1105 lines
30 KiB
Swift
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@main
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struct Day19: Puzzle {
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func run() {
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var locations = Array(repeating: [Vector(0, 0, 0)], count: input.count)
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while input.count > 1 {
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for i in input.indices {
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for j in input.index(after: i)..<input.endIndex {
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if let (matrix, dist) = findMatch(input[j], reference: input[i]) {
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let mapped = input[j].map { matrix * $0 - dist }
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let all = Set(input[i]).union(mapped)
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input[i] = Array(all)
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input[j] = []
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locations[i] = Array(Set(locations[i]).union(locations[j].map { matrix * $0 - dist }))
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locations[j] = []
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}
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}
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}
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input.removeAll { $0.isEmpty }
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locations.removeAll { $0.isEmpty }
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}
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print("Part 1:", input[0].count)
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var maxDist = 0
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for i in locations[0].indices {
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for j in 0..<i {
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maxDist = max(maxDist, manhattenDistance(locations[0][i], locations[0][j]))
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}
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}
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print("Part 2:", maxDist)
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}
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}
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func findMatch(_ input: [Vector], reference: [Vector]) -> (Matrix, Vector)? {
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let referenceSet = Set(reference)
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for matrix in directions {
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let points = input.map { matrix * $0 }
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let possibleShifts = findPossibleShifts(points, reference)
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for shift in possibleShifts {
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let shifted = points.lazy.map { $0 - shift }.filter { referenceSet.contains($0) }.count
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if shifted >= 12 {
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return (matrix, shift)
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}
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}
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}
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return nil
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}
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func findPossibleShifts(_ a: [Vector], _ b: [Vector]) -> Set<Vector> {
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var result: Set<Vector> = []
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for pointA in a {
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for pointB in b {
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result.insert(pointA - pointB)
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}
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}
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return result
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}
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struct Vector: Hashable {
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var x, y, z: Int
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init(_ x: Int, _ y: Int, _ z: Int) {
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self.x = x
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self.y = y
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self.z = z
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}
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static func +(lhs: Vector, rhs: Vector) -> Vector {
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Vector(lhs.x + rhs.x, lhs.y + rhs.y, lhs.z + rhs.z)
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}
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static func - (lhs: Vector, rhs: Vector) -> Vector {
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.init(lhs.x - rhs.x, lhs.y - rhs.y, lhs.z - rhs.z)
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}
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}
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func manhattenDistance(_ a: Vector, _ b: Vector) -> Int {
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abs(a.x - b.x) + abs(a.y - b.y) + abs(a.z - b.z)
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}
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struct Matrix {
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var a, b, c: Int
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var d, e, f: Int
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var g, h, i: Int
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init(_ a: Int, _ b: Int, _ c: Int, _ d: Int, _ e: Int, _ f: Int, _ g: Int, _ h: Int, _ i: Int) {
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(self.a, self.b, self.c) = (a, b, c)
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(self.d, self.e, self.f) = (d, e, f)
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(self.g, self.h, self.i) = (g, h, i)
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}
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init(rows a: Vector, _ b: Vector, _ c: Vector) {
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self.init(
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a.x, a.y, a.z,
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b.x, b.y, b.z,
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c.x, c.y, c.z
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)
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}
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}
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func *(lhs: Matrix, rhs: Vector) -> Vector {
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Vector(
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lhs.a * rhs.x + lhs.b * rhs.y + lhs.c * rhs.z,
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lhs.d * rhs.x + lhs.e * rhs.y + lhs.f * rhs.z,
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lhs.g * rhs.x + lhs.h * rhs.y + lhs.i * rhs.z
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)
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}
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func cross(_ a: Vector, _ b: Vector) -> Vector {
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Vector(
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a.y * b.z - a.z * b.y,
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a.z * b.x - a.x * b.z,
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a.x * b.y - a.y * b.x
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)
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}
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func dot(_ a: Vector, _ b: Vector) -> Int {
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a.x * b.x + a.y * b.y + a.z * b.z
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}
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func calcDirections() -> [Matrix] {
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let axes: [Vector] = [
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.init(1, 0, 0),
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.init(0, 1, 0),
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.init(0, 0, 1),
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.init(-1, 0, 0),
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.init(0, -1, 0),
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.init(0, 0, -1),
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]
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var result: [Matrix] = []
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for fi in axes.indices {
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let forward = axes[fi]
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for fj in axes.indices where fi != fj {
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let up = axes[fj]
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if dot(forward, up) != 0 {
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continue
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}
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let right = cross(up, forward)
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result.append(.init(rows: forward, right, up))
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}
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}
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return result
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}
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let directions = calcDirections()
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var input: [[Vector]] = [
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[
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Vector(-779,774,841),
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Vector(-623,687,-622),
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Vector(-569,692,-472),
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Vector(-815,791,890),
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Vector(545,-807,-699),
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Vector(655,564,594),
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Vector(-781,645,919),
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Vector(561,908,-538),
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Vector(-453,-675,694),
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Vector(-885,-565,-404),
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Vector(596,-595,-679),
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Vector(464,-620,445),
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Vector(481,-658,-759),
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Vector(-574,-702,800),
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Vector(-145,151,93),
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Vector(-814,-575,-354),
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Vector(-611,653,-643),
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Vector(532,950,-506),
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Vector(-475,-638,816),
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Vector(403,-510,477),
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Vector(736,559,518),
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Vector(-17,7,140),
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Vector(-861,-741,-321),
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Vector(513,-554,586),
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Vector(518,512,519),
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Vector(549,924,-562),
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],
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[
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Vector(689,772,-758),
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Vector(537,371,685),
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Vector(-672,-658,689),
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Vector(123,51,-21),
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Vector(-401,435,-501),
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Vector(12,-98,95),
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Vector(735,588,-720),
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Vector(844,-573,-785),
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Vector(-423,-889,-362),
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Vector(-816,-649,595),
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Vector(655,605,-727),
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Vector(785,-703,-813),
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Vector(536,-624,720),
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Vector(-360,-902,-383),
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Vector(-432,400,599),
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Vector(-689,-669,583),
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Vector(625,506,710),
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Vector(455,445,698),
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Vector(650,-556,751),
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Vector(747,-531,-750),
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Vector(-346,-875,-402),
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Vector(-417,420,420),
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Vector(-501,413,-386),
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Vector(490,-584,661),
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Vector(-499,374,505),
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Vector(-449,476,-453),
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],
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[
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Vector(663,667,-407),
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Vector(-595,-818,-576),
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Vector(-309,605,562),
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Vector(-598,-610,-587),
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Vector(-517,-586,691),
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Vector(46,-151,22),
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Vector(-881,281,-669),
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Vector(732,-947,-380),
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Vector(587,624,746),
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Vector(-55,-3,100),
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Vector(-458,-497,709),
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Vector(593,687,-248),
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Vector(572,498,738),
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Vector(694,-939,-344),
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Vector(401,-634,682),
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Vector(-847,239,-653),
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Vector(397,-527,600),
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Vector(-610,-743,-467),
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Vector(-474,659,598),
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Vector(-414,-596,646),
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Vector(657,542,-317),
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Vector(-397,630,676),
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Vector(378,-659,657),
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Vector(-848,236,-666),
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Vector(514,509,638),
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Vector(753,-870,-512),
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],
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[
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Vector(438,673,-607),
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Vector(-400,-430,341),
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Vector(-795,-514,-738),
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Vector(-705,-416,-761),
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Vector(760,-806,792),
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Vector(-469,803,349),
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Vector(670,-798,675),
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Vector(363,648,-428),
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Vector(-349,-447,506),
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Vector(-425,412,-482),
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Vector(520,455,660),
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Vector(452,-616,-878),
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Vector(553,372,771),
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Vector(24,68,-59),
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Vector(654,413,728),
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Vector(-464,-413,481),
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Vector(-404,598,-552),
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Vector(-459,781,522),
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Vector(538,-597,-851),
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Vector(-346,488,-476),
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|
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Vector(420,-481,-842),
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|
Vector(-470,896,540),
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||
|
|
Vector(651,-822,721),
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|
|
Vector(421,522,-506),
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|
|
Vector(-690,-511,-769),
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|
],
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[
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|
|
Vector(844,592,402),
|
||
|
|
Vector(-636,679,516),
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||
|
|
Vector(-720,-400,911),
|
||
|
|
Vector(-509,-714,-788),
|
||
|
|
Vector(-826,755,-326),
|
||
|
|
Vector(39,-121,70),
|
||
|
|
Vector(661,741,-539),
|
||
|
|
Vector(727,636,527),
|
||
|
|
Vector(869,-741,-241),
|
||
|
|
Vector(742,-762,619),
|
||
|
|
Vector(-703,-565,962),
|
||
|
|
Vector(725,-852,686),
|
||
|
|
Vector(-639,710,621),
|
||
|
|
Vector(829,579,592),
|
||
|
|
Vector(654,730,-279),
|
||
|
|
Vector(-737,-540,847),
|
||
|
|
Vector(-734,702,606),
|
||
|
|
Vector(-487,-705,-778),
|
||
|
|
Vector(799,-689,-246),
|
||
|
|
Vector(-754,837,-380),
|
||
|
|
Vector(854,-715,-315),
|
||
|
|
Vector(754,-648,701),
|
||
|
|
Vector(-615,725,-335),
|
||
|
|
Vector(-628,-713,-672),
|
||
|
|
Vector(736,727,-443),
|
||
|
|
],
|
||
|
|
[
|
||
|
|
Vector(-405,590,-366),
|
||
|
|
Vector(-409,651,-375),
|
||
|
|
Vector(439,489,371),
|
||
|
|
Vector(-542,-507,536),
|
||
|
|
Vector(-367,404,-381),
|
||
|
|
Vector(299,-367,848),
|
||
|
|
Vector(-670,-452,-700),
|
||
|
|
Vector(-49,132,11),
|
||
|
|
Vector(340,-226,895),
|
||
|
|
Vector(478,-800,-337),
|
||
|
|
Vector(613,500,-723),
|
||
|
|
Vector(279,-348,939),
|
||
|
|
Vector(-558,-502,654),
|
||
|
|
Vector(390,411,415),
|
||
|
|
Vector(366,500,429),
|
||
|
|
Vector(400,-731,-350),
|
||
|
|
Vector(-612,-578,-728),
|
||
|
|
Vector(629,662,-720),
|
||
|
|
Vector(-522,-490,-688),
|
||
|
|
Vector(-453,406,393),
|
||
|
|
Vector(-679,460,405),
|
||
|
|
Vector(-652,411,356),
|
||
|
|
Vector(-532,-505,547),
|
||
|
|
Vector(707,591,-772),
|
||
|
|
Vector(635,-703,-379),
|
||
|
|
],
|
||
|
|
[
|
||
|
|
Vector(539,-841,504),
|
||
|
|
Vector(743,731,-445),
|
||
|
|
Vector(-822,-423,673),
|
||
|
|
Vector(-770,-492,627),
|
||
|
|
Vector(-762,805,536),
|
||
|
|
Vector(622,783,749),
|
||
|
|
Vector(-757,320,-629),
|
||
|
|
Vector(710,684,-611),
|
||
|
|
Vector(393,-892,456),
|
||
|
|
Vector(-769,705,691),
|
||
|
|
Vector(365,-675,-379),
|
||
|
|
Vector(-831,401,-736),
|
||
|
|
Vector(561,779,740),
|
||
|
|
Vector(-815,623,585),
|
||
|
|
Vector(385,-726,-591),
|
||
|
|
Vector(305,-611,-528),
|
||
|
|
Vector(-26,-6,-67),
|
||
|
|
Vector(-690,441,-682),
|
||
|
|
Vector(-830,-855,-756),
|
||
|
|
Vector(-707,-427,667),
|
||
|
|
Vector(808,821,734),
|
||
|
|
Vector(660,755,-621),
|
||
|
|
Vector(444,-961,435),
|
||
|
|
Vector(-831,-858,-732),
|
||
|
|
Vector(-873,-889,-537),
|
||
|
|
Vector(-116,-144,21),
|
||
|
|
],
|
||
|
|
[
|
||
|
|
Vector(620,-673,-810),
|
||
|
|
Vector(601,-454,-802),
|
||
|
|
Vector(-496,543,-614),
|
||
|
|
Vector(-596,554,-672),
|
||
|
|
Vector(963,-487,692),
|
||
|
|
Vector(-701,-396,401),
|
||
|
|
Vector(808,816,748),
|
||
|
|
Vector(638,-546,-875),
|
||
|
|
Vector(887,-534,765),
|
||
|
|
Vector(-604,428,-687),
|
||
|
|
Vector(916,-611,754),
|
||
|
|
Vector(-456,393,374),
|
||
|
|
Vector(-554,-588,-462),
|
||
|
|
Vector(549,385,-763),
|
||
|
|
Vector(-420,447,209),
|
||
|
|
Vector(-784,-504,377),
|
||
|
|
Vector(811,771,781),
|
||
|
|
Vector(-510,-687,-472),
|
||
|
|
Vector(-725,-524,511),
|
||
|
|
Vector(459,510,-757),
|
||
|
|
Vector(795,813,747),
|
||
|
|
Vector(71,-145,-43),
|
||
|
|
Vector(390,365,-693),
|
||
|
|
Vector(-534,422,297),
|
||
|
|
Vector(-565,-706,-544),
|
||
|
|
Vector(122,13,-148),
|
||
|
|
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